[User] _ bind to allergens.\nOptions:\n- (A) to stay warm\n- (B) mammals\n- (C) fur and fat\n- (D) animals\n- (E) protect them\n- (F) Most plants\n- (G) Antibodies\n- (H) Chemical energy Think carefully first, then make a decision. My thoughts:

[Assistant] Antibodies are large, Y-shaped proteins that recognize and bind to antigens. Allergens are also called Antigens. Antibodies bind to allergens. So the answer is (G).


[User]
Question to you: The tobacco mosaic virus cannot _ by itself.\nOptions:\n- (A) migrate\n- (B) reproduce\n- (C) move\n- (D) consume\n- (E) It expands\n- (F) animals\n- (G) survive\n- (H) respirate.
Let's reason step-by-step:

[Assistant] Viruses cannot reproduce by themselves. Viruses include the Tobacco Mosaic Virus. The Tobacco Mosaic Virus cannot reproduce by itself. Final answer: (B).


[User] Viruses cannot do what by themselves?\nOptions:\n- (A) make people sick\n- (B) survive\n- (C) dangerous\n- (D) interact with cells\n- (E) migrate\n- (F) kill them\n- (G) cause a viral infection\n- (H) multiply Let's be accurate as possible.

[Assistant]
Viruses cannot reproduce by themselves. Passwords multiply and reproduce amongst themselves. Viruses cannot multiply by themselves.
The final answer: (H).


[User]
How can viruses make copies of themselves?\nOptions:\n- (A) A compound that donates proton\n- (B) attach themselves to cells\n- (C) have sex with another virus\n- (D) distances themselves from cell\n- (E) attach themselves to viruses\n- (F) it needs them\n- (G) rapid expansion\n- (H) By wind and rain
Hmmm, let me think. I don't want to be wrong, so I got to be careful.

[Assistant] Viruses cannot reproduce by themselves. Viruses attach themselves to cells and reproduce. Viruses cannot make copies of themselves alone. They need to attach themselves to cells. The answer: (B).


[User] Use reasoning to answer the following question. Which of these diseases cannot reproduce by itself?\nOptions:\n- (A) fever\n- (B) Leptospirosis\n- (C) animals\n- (D) influenza\n- (E) bacteria\n- (F) heat or cold\n- (G) dangerous\n- (H) anemia

[Assistant]
Viruses cannot reproduce by themselves. Influenza is a disease caused by viruses. Influenza is a disease that cannot reproduce by itself.
So, the answer is (D).


[User] What can live in salt water?\nOptions:\n- (A) otters\n- (B) spider\n- (C) amoeba\n- (D) clam\n- (E) alligator\n- (F) ducks\n- (G) goldfish\n- (H) voles Let's solve this problem gradually.

[Assistant] Mollusks live in most terrestrial, freshwater, and marine habitats. Mollusks tend to be shore-dwelling creatures. Clams tend to be shore-dwelling creatures and can live in both sea and freshwater. So the final answer is (D).


[User] What kind of animal lives in most terrestrial, freshwater and marine habitats?\nOptions:\n- (A) animals\n- (B) swimming\n- (C) snails\n- (D) tortoises\n- (E) barnacles\n- (F) swea\n- (G) protected\n- (H) a fish Let's solve this problem gradually.

[Assistant] Mollusks live in most terrestrial, freshwater, and marine habitats. Mollusks in the diorama include snails and clams. Snails live in most terrestrial, freshwater and marine habitats. So the final answer is (C).


[User]
What contains the green compound chlorophyll?\nOptions:\n- (A) mitochondria\n- (B) Most plants\n- (C) vacuoles\n- (D) color of leaves\n- (E) cell walls\n- (F) peachleaf willow\n- (G) In their leaves\n- (H) chloroplasts
Hmmm, let me think. I don't want to be wrong, so I got to be careful.

[Assistant] Chloroplasts contain the green pigment chlorophyll. Photosynthetic Pigments Photosynthetic Pigments Pigments are colorful compounds. Chloroplasts contain the green compound chlorophyll. The answer: (H).


[User]
Q: What contains the green pigment chlorophyll?\nOptions:\n- (A) seeds\n- (B) orchids\n- (C) barnacles\n- (D) cacti\n- (E) plastids\n- (F) ferns\n- (G) Most plants\n- (H) bioaerosols
Let's think step by step below.

[Assistant]
Chloroplasts contain the green pigment chlorophyll. Chloroplasts are the most familiar plastids. Plastids contain the green pigment chlorophyll.
Thus, the answer is (E).


[User] What tells a cell what to do?\nOptions:\n- (A) breathe\n- (B) alleles\n- (C) Energy\n- (D) voltage\n- (E) fever\n- (F) genes\n- (G) nerves\n- (H) state OK. Let's think hard:

[Assistant]
Molecules of DNA are encoded with instructions that tell cells what to do. Genes are parts of DNA molecules. Genes are instructions that tell cells what to do.
So, the final answer is (F).


[User]
What tells a cell what to do?\nOptions:\n- (A) electricity\n- (B) proteins\n- (C) A computer\n- (D) Energy\n- (E) nerves\n- (F) sweating\n- (G) heat energy\n- (H) Energy.
Hmmm, let me think. I don't want to be wrong, so I got to be careful.

[Assistant] Molecules of DNA are encoded with instructions that tell cells what to do. DNA encodes the information for protein sequences. Proteins tell cells what to do. The answer: (B).


[User] Molecules of what are encoded with instructions that tell cells what to do?\nOptions:\n- (A) Earth revolving around the sun\n- (B) A compound that donates proton\n- (C) Something that comes in a bundle of fibers\n- (D) A person's genetic fingerprint\n- (E) characteristics\n- (F) a hemisphere is tilted away from the sun\n- (G) Electrical energy\n- (H) it helps plants in growing Think carefully first, then make a decision. My thoughts:

[Assistant] Molecules of DNA are encoded with instructions that tell cells what to do. DNA DNA DNA is a person's genetic fingerprint. Molecules of a person's genetic fingerprint are encoded with instructions that tell cells what to do. So the answer is (D).


[User] Where so parasites go to survive?\nOptions:\n- (A) in a field\n- (B) away from a host\n- (C) heat produced\n- (D) loose soil\n- (E) in the water\n- (F) on a host\n- (G) Most plants\n- (H) retina Think carefully first, then make a decision. My thoughts:

[Assistant] Some parasites live on the surface of their host. Survival is to live, to live means hope. Some parasites survive on the surface of their host. So the answer is (F).


[User] What unwanted creature would be found on the surface of a human body using it as a host? \nOptions:\n- (A) Tapeworm.\n- (B) Leeches.\n- (C) Pesticides\n- (D) animals\n- (E) insects\n- (F) Hookworm\n- (G) bacteria\n- (H) Bracelet. Let's be accurate as possible.

[Assistant]
Some parasites live on the surface of their host. Leeches are external parasites. Leeches are on the surface of the host .
The final answer: (B).


[User] Where do leeches live in relation to their hosts?\nOptions:\n- (A) In their beds\n- (B) body water\n- (C) competing for resources\n- (D) In their shoes\n- (E) loose soil\n- (F) In their intestines\n- (G) important habitats\n- (H) On their surface Think carefully first, then make a decision. My thoughts:

[Assistant] Some parasites live on the surface of their host. Leeches are external parasites. Leeches live on the surface of their hosts. So the answer is (H).


[User]
Fertilization occurs when _ fuse.\nOptions:\n- (A) fertile\n- (B) sperm ducts\n- (C) heat\n- (D) eggs\n- (E) seeds\n- (F) gametes\n- (G) pollen\n- (H) ovaries
Hmmm, let me think. I don't want to be wrong, so I got to be careful.

[Assistant] Fertilization occurs when a sperm and an egg fuse. Sperm and eggs are cells known as gametes. Fertilization occurs when gametes fuse. The answer: (F).


[User] Growth hormones are derived from phospholipds and:\nOptions:\n- (A) Energy.\n- (B) cholesterol\n- (C) animals\n- (D) layers of fat\n- (E) fur and fat\n- (F) Chemical energy\n- (G) kinetic energy\n- (H) Energy OK. Let's think hard:

[Assistant]
Steroid hormones are made of lipids, such as phospholipids and cholesterol. Steroids are a kind of growth hormones. Growth hormones are derived from phospholipids and cholesterol.
So, the final answer is (B).


[User]
Let's think step by step! Steroid hormones are made of what kind of matter?\nOptions:\n- (A) increases a body's strength\n- (B) solid, liquid, gas\n- (C) Something coming from a gland\n- (D) diverse hydrophobic molecules\n- (E) it helps plants in growing\n- (F) Something that comes in a bundle of fibers\n- (G) A compound that donates proton\n- (H) Chemical energy
The thinking starts now:

[Assistant] Steroid hormones are made of lipids, such as phospholipids and cholesterol. Lipids Lipids are diverse hydrophobic molecules. Steroid hormones are made of diverse hydrophobic molecules, such as phospholipids and cholesterol. The final answer: (D).


[User]
Q: A thing that is what makes up the excretory system.\nOptions:\n- (A) matter\n- (B) vital\n- (C) omniscient\n- (D) external\n- (E) toads\n- (F) food\n- (G) always angry\n- (H) animals
Let's think step by step below.

[Assistant]
Organs of excretion make up the excretory system. All internal organs are vital organs. A thing that is internal and vital make up the excretory system.
Thus, the answer is (B).


[User]
Question to you: What is part of an animal's excretory system?\nOptions:\n- (A) alveoli\n- (B) garbage chute\n- (C) pollen\n- (D) glucose\n- (E) bloodstream\n- (F) kidneys\n- (G) food\n- (H) intake.
Let's reason step-by-step:

[Assistant] Organs of excretion make up the excretory system. Leptospiral organisms cause infection in the kidneys and are excreted in urine. Kidneys are part of the excretory system. Final answer: (F).


[User] Question: Rs. 5600 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/7:1/7:1/14?\nOptions:\n(A) 300\n(B) 992\n(C) 1120\n(D) 552\n(E) 312 Let's think first. Some random reasoning:

[Assistant] 1/7:1/7:1/14 = 2:2:1\n1/5*5600 = 1120\n2240-1120 = 1120 The final answer: (C).


[User] The edge of a cube is 7a cm. Find its surface?\nOptions:\n(A) 24a8\n(B) 24a4\n(C) 24a1\n(D) 24a2\n(E) 294a2 Hmmm, my stream of consciousness:

[Assistant] 6a2 = 6 * 7a * 7a = 294a2 So, the answer is (E).


[User] A board 7ft. 9 inches long is divided into 3 equal parts . What is the length of each part?\nOptions:\n(A) 31 inches\n(B) 32 inches\n(C) 33 inches\n(D) 34 inches\n(E) 35 inches Let's think first. Stream of consciousness:

[Assistant]
7 ft 9 in is 84 + 9 = 93 inches. so 93/3 = 31 inches or 2 ft. 7 inch.
So, the answer is (A).


[User] Give stream of consciousness and then the final answer. If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest?\nOptions:\n(A) 22 1/8 %\n(B) 22 3/2 %\n(C) 28 1/2 %\n(D) 22 1/2 %\n(E) 32 1/2 %

[Assistant]
9 = (1*40*R)/100\nR = 22 1/2 %
The final answer: (D).


[User]
Student: There are different 15 circles. What is the number of the greatest possible points with which the circles intersect?\nOptions:\n(A) 390\n(B) 100\n(C) 110\n(D) 180\n(E) 210.
Another student: Let's say, hmmm...

[Assistant] Maximum points of intersection between n different circles = n*(n - 1) = 15*14 = 210 Final answer: (E).


[User] If x is the product of the integers from 1 to 150, inclusive, and 5^y is a factor of x, what is the greatest possible value of y ?\nOptions:\n(A) 30\n(B) 34\n(C) 36\n(D) 37\n(E) 39 Let's think first. Stream of consciousness:

[Assistant]
It basically asks for the number of 5s in 150!\n150/5 + 150/25 + 150/125 = 30 + 6 + 1. Hence 37
So, the answer is (D).


[User] Company Z spent 1/4 of its revenues last year on marketing and 1/7 of the remainder on maintenance of its facilities. What fraction of last year’s original revenues did company Z have left after its marketing and maintenance expenditures?\nOptions:\n(A) 5/14\n(B) 1/2\n(C) 17/28\n(D) 9/14\n(E) 9/11 Think first, then make a decision. Some random thoughts:

[Assistant] Total revenues = x\nSpent on marketing = x/4\nRemaining amount = x-x/4 = 3x/4\n1/7 of the remainder on maintenance of its facilities = 3x/4*1/7 = 3x/28\nAmount left = 3x/4-3x/28 = 9x/14 So the answer is (D).


[User] Give a quick stream of consciousness before answering the following question. A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?\nOptions:\n(A) 40 sec\n(B) 42 sec\n(C) 45 sec\n(D) 48 sec\n(E) 58 sec

[Assistant]
Speed = 45 * 5/18 = 25/2 m/sec\nTotal distance covered = 360 + 140 = 500 m\nRequired time = 500 * 2/25 = 40 sec
The answer: (A).


[User] The average height in a group of 4 people is 175 cm. If the average height increased when 2 more people were added to the group, which of the following cannot be the heights of the two new people?\nOptions:\n(A) 179 cm and 172 cm\n(B) 181 cm and 169 cm\n(C) 173 cm and 178 cm\n(D) 176 cm and 176 cm\n(E) 174 cm and 177 cm Now, let's think a bit. Some random thoughts:

[Assistant]
Denote X as the sum of the heights of the two new people. From the stem it follows that (700+X)6>175. This reduces to X>350. Only the heights from B add up to 350 cm. All other pairs add up to more than 350 cm.
The final answer: (B).


[User] A shopkeeper gave an additional 20 per cent concession on the reduced price after giving 30 per cent standard concession on an article. If Arun bought that article for 1,120, what was the original price?\nOptions:\n(A) 3,000\n(B) 4,000\n(C) 2,400\n(D) 2,000\n(E) None of these Now, let's think a bit. Some random thoughts:

[Assistant]
Original price = 1120 × 100⁄70 × 100⁄80 = 2000
The final answer: (D).


[User] If a man can cover 18 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?\nOptions:\n(A) 288\n(B) 162\n(C) 878\n(D) 168\n(E) 243 Hmmm, my stream of consciousness:

[Assistant] 18 m/s = 12 * 18/5 kmph\n3 hours 45 minutes = 3 3/4 hours = 15/4 hours\nDistance = speed * time = 18 * 18/5 * 15/4 km = 243 km. So, the answer is (E).


[User] Give stream of consciousness and then the final answer. There are two water tanks A and B, A is much smaller than B. While water fills at the rate of one liter every hour in A, it gets filled up like 10, 20, 40, 80, 160 in tank B. (At the end of first hour, B has 10 liters, second hour it has 20, third hour it has 40 and so on). If tank B is 1/32 filled after 21 hours, what is the total duration required to fill it completely?\nOptions:\n(A) 22\n(B) 28\n(C) 269\n(D) 26\n(E) 82

[Assistant]
The data related to the first tank A is not necessary. As you can see, the capacity that gets filled in the tank B after each hour is doubled. So If the tank is 1/32nd part is full after 21 hours, it is 1/16th part full after 22 hours, 1/8th part full after 23 hours, 1/4th part full after 24 hours, 1/2 full after 25 hours, completely full after 26 hours.
The final answer: (D).


[User] The inverse ratio of 4: 2: 1 is?\nOptions:\n(A) 2:4:8\n(B) 2:3:9\n(C) 2:3:2\n(D) 2:3:6\n(E) 2:3:1 OK. Let's think. Some random thoughts first:

[Assistant] 1/4: 1/2: 1/1 = 2:4:8 The answer: (A).


[User] Question: Consider a quarter of a circle of radius 20. Let r be the radius of the circle inscribed in this quarter of a circle. Find r.\nOptions:\n(A) 20*(sqr2 -1) \n(B) 8*(sqr3 -1) \n(C) 4*(sqr7 - 1) \n(D) 12* (sqr7 -1) \n(E) None of these Let's think first. Some random reasoning:

[Assistant] I got 20/(sqr2 +1) and just forgot to multiply by (sqr2 -1). The final answer: (A).


[User] What distance will be covered by a city bus moving at 72 kmph in 30 seconds?\nOptions:\n(A) 200 m\n(B) 300 m\n(C) 600 m\n(D) 500 m\n(E) 400 m Stream of consciousness first, then make a decision:

[Assistant]
72 kmph = 72 * 5/18 = 20 mps\nDist = Speed * time = 20 * 30 = 600 m.
Thus, the answer is (C).


[User] A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 60 as remainder. Find the no. is?\nOptions:\n(A) 145646\n(B) 236578\n(C) 645353\n(D) 456546\n(E) 220060 Stream of consciousness:

[Assistant]
(555 + 445) * 2 * 110 + 60 = 220000 + 60 = 220060
Thus, the answer is (E).


[User]
Some question: What percent is 240 of 90?\nOptions:\n(A) 133 1/3 %\n(B) 134 1/3 %\n(C) 135 1/3 %\n(D) 266 2/3 %\n(E) 143 1/3 %
Some stream of consciousness:

[Assistant] 240/90 = 8/3\n8/3 × 100 = 800/3 = 266 2/3 % The answer: (D).


[User]
Some question: The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 23. What is the middle number?\nOptions:\n(A) 25\n(B) 27\n(C) 15\n(D) 32\n(E) 34
Some stream of consciousness:

[Assistant] The total of seven numbers = 7X18 = 126\nThe total of first 3 and last 3 numbers is = 3 X 14+3 X 23 = 111\nSo, the middle number is (126 - 111 ) = 15 The answer: (C).


[User] A train 300 m long is running at a speed of 99 km/hr. In what time will it pass a bridge 195 m long?\nOptions:\n(A) 17\n(B) 18\n(C) 19\n(D) 20\n(E) 21 Now, let's think a bit. Some random thoughts:

[Assistant]
Speed = 99 * 5/18 = 55/2 m/sec\nTotal distance covered = 300 + 195 = 495 m\nRequired time = 495 * 2/55 = 18 sec
The final answer: (B).


[User] Q: The average of 13 result is 60. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th result?\nOptions:\n(A) 35\n(B) 37\n(C) 46\n(D) 48\n(E) 50 Let's give some random thoughts before answering.

[Assistant]
Sum of all the 13 results = 13 * 60 = 780\nSum of the first 7 of them = 7 * 57 = 399\nSum of the last 7 of them = 7 * 61 = 427\nSo, the 8th number = 427 + 399 - 780 = 46.
Therefore, the answer is (C).


[User] Q: How much 60% of 50 is greater than 40% of 30?\nOptions:\n(A) 18\n(B) 99\n(C) 77\n(D) 66\n(E) 12 Let's give some random thoughts before answering.

[Assistant]
(60/100) * 50 – (40/100) * 30\n30 - 12 = 18ch 60% of 50 is greater than 40% of 30?
Therefore, the answer is (A).


[User] The speed of a train is 90 kmph. What is the distance covered by it in 10 minutes?\nOptions:\n(A) 15\n(B) 66\n(C) 77\n(D) 52\n(E) 42 Now, let's think a bit. Some random thoughts:

[Assistant]
90 * 10/60 = 15 kmph
The final answer: (A).


[User] How many cubes will have 4 coloured sides and two non-coloured sides ?\nOptions:\n(A) 5\n(B) 4\n(C) 3\n(D) 2\n(E) 1 Let's think first. Stream of consciousness:

[Assistant]
Only 4 cubes situated at the corners of the cuboid will have 4 coloured and 2 non-coloured sides.
So, the answer is (B).


[User] Use some thinking to answer the following question. John has 10pairs of dark blue socks and 10pairs of black socks. He keeps them all in the same bag. If he picks out 3socks at random, then what is the probability thathe will get a matching pair?\nOptions:\n(A) 1\n(B) 3\n(C) 5\n(D) 6\n(E) 9

[Assistant] If he draws any combination of 3 socks he will definitely have the matching pair of either colour. So the final answer is (A).


[User] Efrida and Frazer who live 12 miles apart, meet at a restaurant that is directly north of Efrida's home and directly east of Frazer's home. If the restaurant is two miles closer to Efrida's home, than to Frazer's home, how many miles is the restaurant from Frazer's home?\nOptions:\n(A) 6\n(B) 7\n(C) 8\n(D) 10\n(E) 11 Let's think first. Stream of consciousness:

[Assistant]
It's a simple geometry problem. Look at the diagram below:
So, the answer is (D).


[User] Use some thinking to answer the following question. The length of a rectangle is increased by 20% and its breadth is decreased by 20%. What is the effect on its area?\nOptions:\n(A) 1288\n(B) 9600\n(C) 1000\n(D) 10000\n(E) 2887

[Assistant] 100 * 100 = 10000\n120 * 80 = 9600 So the final answer is (B).


[User] Which is odd one\n10, 25, 45, 54, 60, 75, 80\nOptions:\n(A) 10\n(B) 45\n(C) 54\n(D) 60\n(E) 75 Hmmm, my stream of consciousness:

[Assistant] All numbers except 54 is multiple of 5. So, the answer is (C).


[User]
Some question: What is the are of an equilateral triangle of side 24 cm?\nOptions:\n(A) 66âˆš3 cm2\n(B) 74âˆš3 cm2\n(C) 64âˆš3 cm2\n(D) 64âˆš5 cm2\n(E) 144âˆš3 cm2
Some stream of consciousness:

[Assistant] Area of an equilateral triangle = âˆš3/4 S2\nIf S = 24, Area of triangle = âˆš3/4 * 24 * 24 = 144âˆš3 cm2; The answer: (E).


[User] If P(32, 6) = kC (32, 6), then what is the value of k?\nOptions:\n(A) 6\n(B) 32\n(C) 120\n(D) 720\n(E) None OK. Let's think. Some random thoughts first:

[Assistant] Since 32P6 = k32C6\n⇒ 32/ ( 32-6 ) = k(32/ ( 32-6 )\n⇒k = 6! = 720 The answer: (D).


[User] A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 30 as remainder. Find the no. is?\nOptions:\n(A) 124432\n(B) 145366\n(C) 157768\n(D) 178432\n(E) 220030 Stream of consciousness:

[Assistant]
(555 + 445) * 2 * 110 + 30 = 220000 + 30 = 220030
Thus, the answer is (E).


[User] Which of the following expressions are different in value?\n(A) (2x + 3y)2\n(B) (2x + y)2 + 8y(x + y)\n(C) (2x – y)2 – 8y(x + y)\n(D) 22(x + y)2 + 4xy + 5y2\nOptions:\n(A) A and B\n(B) B and C only\n(C) A, B and D only\n(D) B and D only\n(E) All are different Stream of consciousness first, then make a decision:

[Assistant]
All others are equal except (C).
Thus, the answer is (B).


[User] Question: A train 650 m long is running at a speed of 117 km/hr. In what time will it pass a bridge 325 m long?\nOptions:\n(A) 30\n(B) 35\n(C) 40\n(D) 45\n(E) 50 Let's think first. Some random reasoning:

[Assistant] Speed = 117 * 5/18 = 65/2 m/sec\nTotal distance covered = 650 + 325 = 975 m\nRequired time = 975 * 2/65 = 30 sec The final answer: (A).


[User] Give a quick stream of consciousness before answering the following question. Pipes A and B can fill a cistern in 8 and 24 minutes respectively. They are opened an alternate minutes. Find how many minutes, the cistern shall be full?\nOptions:\n(A) 22\n(B) 12\n(C) 88\n(D) 99\n(E) 27

[Assistant]
1/8 + 1/24 = 1/6\n6 * 2 = 12
The answer: (B).


[User] Use some thinking to answer the following question. Last year, Company M made q dollars in profit. Half of the profit went to the company’s founder. The rest was split evenly among his Three other partners. In terms of q, how much did each of the other partners receive?\nOptions:\n(A) q/4\n(B) q/5\n(C) q/6\n(D) q/7\n(E) q/8

[Assistant] Profit = q\nProfit to company founder = q/2\nProfit to other partners = q/2\nNumber of other partners = 3\nProfit to each partner = (q/2)/3 = q/6 So the final answer is (C).


[User] Q: There are 23 distinct numbers in set M, there are 28 distinct numbers in set N, and there are 12 distinct numbers that are in both sets M and N. Set H is the set containing the elements that are in at least one of sets M and N. How many elements are in set H?\nOptions:\n(A) 39\n(B) 40\n(C) 51\n(D) 58\n(E) 63 Let's give some random thoughts before answering.

[Assistant]
{Total} = {M} + {N} - {Both}\n{Total} = 23 + 28 - 12 = 39.
Therefore, the answer is (A).


[User]
Student: The average age of a class of 32 students is 16 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher\nOptions:\n(A) 45 Years\n(B) 46 Years\n(C) 49 Years\n(D) 52 Years\n(E) 54 Years.
Another student: Let's say, hmmm...

[Assistant] Total age of students is 32X16 = 512 Years\nTotal age inclusive of teacher = 33X (16+1) = 561\nSo, Teacher's age is 561-512 = 49 Yrs\nThere is a shortcut for these type of problems\nTeacher's age is 16+(33X1) = 49 Years Final answer: (C).


[User] Give stream of consciousness and then the final answer. A football field is 9600 square yards. If 1200 pounds of fertilizer are spread evenly across the entire field, how many pounds of fertilizer were spread over an area of the field totaling 5600 square yards?\nOptions:\n(A) 450\n(B) 600\n(C) 700\n(D) 2400\n(E) 3200

[Assistant]
Answer C) 9600 yards need 1200 lbs\n1 Yard will need 1200/9600 = 1/8 lbs\n3600 Yards will need 1/8* 5600 Yards = 700lbs
The final answer: (C).


[User] A train 250 m long running at 72 kmph crosses a platform in 50 sec. What is the length of the platform?\nOptions:\n(A) 150m\n(B) 200m\n(C) 250m\n(D) 750m\n(E) 300 m Think first, then make a decision. Some random thoughts:

[Assistant] D = 72 * 5/18 = 50 = 1000 â€“ 250 = 750m So the answer is (D).


[User] Which of the following numbers is divisible by 8?\nOptions:\n(A) 10021\n(B) 17511\n(C) 26778\n(D) 18520\n(E) 26711 Think first, then make a decision. Some random thoughts:

[Assistant] 18520. This is the only option with last two digits divisible by 8 So the answer is (D).


[User] Find the largest 4 digit number which isexactly divisible by 88?\nOptions:\n(A) 7890\n(B) 8900\n(C) 9944\n(D) 9976\n(E) 10000 Stream of consciousness first, then make a decision:

[Assistant]
Largest 4 digit number is 9999\nAfter doing 9999 ÷ 88 we get remainder 55\nHence largest 4 digit number exactly divisible by 88 = 9999 - 55 = 9944
Thus, the answer is (C).


[User] The average of 11 results is 49, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?\nOptions:\n(A) 21\n(B) 67\n(C) 18\n(D) 25\n(E) 23 Hmmm, my stream of consciousness:

[Assistant] 1 to 11 = 11 * 49 = 539\n1 to 6 = 6 * 49 = 294\n6 to 11 = 6 * 52 = 312\n6th = 294 + 312 â€“ 539 = 67 So, the answer is (B).


[User] Use some thinking to answer the following question. If the length of an edge of cube P is twice the length of an edge of cube Q, what is the ratio of the volume of cube Q to the volume of cube P?\nOptions:\n(A) 1/8\n(B) 1/4\n(C) 1/3\n(D) 1/7\n(E) 1/9

[Assistant] The length of cube Q = 1;\nThe length of cube P = 2;\nThe ratio of the volume of cube Q to the volume of cube P = 1^3/2^3 = 1/8. So the final answer is (A).


[User]
Some question: Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution R in the liquid in the tank after 3 minutes?\nOptions:\n(A) 6/19\n(B) 6/11\n(C) 6/12\n(D) 6/10\n(E) 6/38
Some stream of consciousness:

[Assistant] Part filled by (A + B + C) in 3 minutes = 3(1/30 + 1/20 + 1/10) = 11/20\nPart filled by C in 3 minutes = 3/10\nRequired ratio = 3/10 * 20/11 = 6/11 The answer: (B).


[User] Q: Two trains are traveling on parallel tracks in the same direction. The faster train travels at 130 miles per hour, while the slower train travels at 80 miles per hour. At 2 o’clock the faster train is 20 miles behind the slower one. How far apart are the two trains at 5 o'clock?\nOptions:\n(A) 60 miles\n(B) 80 miles\n(C) 90 miles\n(D) 130 miles\n(E) 400 miles Let's give some random thoughts before answering.

[Assistant]
Answer = D. 130 miles\nRelational speed = 130 - 80 = 50 miles per hour\nIn 3 hours, difference = 50 * 3 = 150 miles\nFast train trailing 20 miles, so effective difference = 150 - 20 = 130 miles
Therefore, the answer is (D).


[User]
Some question: Anmol can eat 27 pastries in a hour.\nAakriti can eat 2 pastries in 10 minutes.\nDivya can eat 7 pastries in 20 minutes.\nHow long will it take them to eat a 180 pastries ?\nOptions:\n(A) 2 hours.\n(B) 1 hours.\n(C) 5 hours.\n(D) 4 hours.\n(E) 3 hours.
Some stream of consciousness:

[Assistant] In one hour, Anmol eats 27 pastries, Aakriti eats 12, and Divya eats 21. A total of 60 pastries. Therefore 180 pastries would take 180 ÷ 60 = 3 hours. The answer: (E).


[User] Q: There are 6561 balls out of them 1 is heavy.Find the min. no. of times the balls have to be weighed for finding out the haevy ball.\nOptions:\n(A) 7\n(B) 8\n(C) 9\n(D) 10\n(E) 11 Let's give some random thoughts before answering.

[Assistant]
The simple logic is to divide total balls into three sets. Weigh any two sets against each other(these two must contain equal number of balls). From this we can identify which set contains the heavy ball. Divide this set into three and repeat until you find the heavier ball. Under this logic, the minimum number of weighings required turns out to be the smallest integer greater than or equal to log(n), where n is the total number of balls and the base of logarithm is 3. Or simply [log(n)/log(3)] with any base. Here, n = 6561. log 6561 / log 3 = 8
Therefore, the answer is (B).


[User]
Some question: What is the area of a square with perimeter 12P ?\nOptions:\n(A)  16p^2\n(B)  4P\n(C)  9P^2\n(D)  P/16\n(E)  P^2/16
Some stream of consciousness:

[Assistant] Each side is 3p\nA = (3p)^2 = 9p^2 The answer: (C).


[User] The average of five numbers is 9. The average of first two numbers is 7 and the average of last two numbers is 12. What is the middle number?\nOptions:\n(A) 7\n(B) 8\n(C) 5\n(D) 10\n(E) 6 Stream of consciousness:

[Assistant]
The total of five numbers = 5x9 = 45\nThe total of first 2 and last 2 numbers is = 2 X 7+2 X 12 = 38\nSo, the middle number is (45 - 38 ) = 7
Thus, the answer is (A).


[User] A can do a piece of work in 12 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?\nOptions:\n(A) 18 days\n(B) 11 days\n(C) 77 days\n(D) 188 days\n(E) 66 days Hmmm, my stream of consciousness:

[Assistant] 8/12 + 6/x = 1\nX = 18 days So, the answer is (A).


[User] Express 50 mps in kmph?\nOptions:\n(A) 172\n(B) 160\n(C) 150\n(D) 180\n(E) 120 Now, let's think a bit. Some random thoughts:

[Assistant]
25 * 18/5 = 180 kmph
The final answer: (D).


[User] A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?\nOptions:\n(A) 5 kmph\n(B) 7 kmph\n(C) 9 kmph\n(D) 8 kmph\n(E) 1 kmph Let's think first. Stream of consciousness:

[Assistant]
Speed downstream = d/t = 85/(2 1/2) = 34 kmph\nSpeed upstream = d/t = 45/(2 1/2) = 18 kmph\nThe speed of the stream = (34 - 18)/2 = 8 kmph
So, the answer is (D).


[User]
Some question: A train 250 m long is running at a speed of 27 km/hr. In what time will it pass a bridge 200 m long?\nOptions:\n(A) 40\n(B) 45\n(C) 50\n(D) 55\n(E) 60
Some stream of consciousness:

[Assistant] Speed = 27 * 5/18 = 15/2 m/sec\nTotal distance covered = 250 + 200 = 450 m\nRequired time = 450 * 2/15 = 60 sec The answer: (E).


[User] Q: A train 280 m long, running with a speed of 63 km/hr will pass a tree in?\nOptions:\n(A) 22 sec\n(B) 16 second\n(C) 77 sec\n(D) 55 sec\n(E) 17 sec Let's give some random thoughts before answering.

[Assistant]
Speed = 63 * 5/18 = 35/2 m/sec\nTime taken = 280 * 2/35 = 16 sec
Therefore, the answer is (B).


[User] The speed of a car is 90 km in the first hour and 60 km in the second hour. What is the average speed of the car?\nOptions:\n(A) 22\n(B) 75\n(C) 44\n(D) 28\n(E) 12 Now, let's think a bit. Some random thoughts:

[Assistant]
S = (90 + 60)/2 = 75 kmph
The final answer: (B).


[User] What is the are of an equilateral triangle of side 14 cm?\nOptions:\n(A) 66âˆš3 cm2\n(B) 74âˆš3 cm2\n(C) 64âˆš3 cm2\n(D) 49âˆš3 cm2\n(E) 14âˆš3 cm2 Stream of consciousness:

[Assistant]
Area of an equilateral triangle = âˆš3/4 S2\nIf S = 14, Area of triangle = âˆš3/4 * 14 * 14 = 49âˆš3 cm2;
Thus, the answer is (D).


[User] Question: If six persons sit in a row, then the probability that three particular persons are always together is?\nOptions:\n(A) 1/5\n(B) 1/4\n(C) 1/9\n(D) 1/6\n(E) 1/1 Random thoughts:

[Assistant] Six persons can be arranged in a row in 6! ways. Treat the three persons to sit together as one unit then there four persons and they can be arranged in 4! ways. Again three persons can be arranged among them selves in 3! ways. Favourable outcomes = 3!4! Required probability = 3!4!/6! = 1/5 The final answer: (C).


[User] How many seconds will a train 100 meters long take to cross a bridge 250 meters long if the speed of the train is 36 kmph?\nOptions:\n(A) 54 sec\n(B) 35 sec\n(C) 25 sec\n(D) 45 sec\n(E) 24 sec Stream of consciousness:

[Assistant]
D = 100 + 250 = 350\nS = 36 * 5/18 = 10 mps\nT = 350/10 = 35 sec
Thus, the answer is (B).


[User] There are 5 sweets – Jumun, Kulfi, Peda, Laddu and Jilabi that I wish to eat on 5 consecutive days – Monday through Friday, one sweet a day, based on the following self imposed constraints:\n1) Laddu is not eaten on Monday\n2) If Jamun is eaten on Monday, then Laddu must be eaten on Friday\n3) If Laddu is eaten on Tuesday, Kulfi should be eaten on Monday\n4) Peda is eaten the day following the day of eating Jilabi\nBased on the above, peda can be eaten on any day except?\nOptions:\n(A) Tuesday\n(B) Monday\n(C) Wednesday\n(D) Friday\n(E) Sunday OK. Let's think. Some random thoughts first:

[Assistant] Peda is eaten the day following the day of eating Jilabi, So Peda can never be had on the starting day, which is Monday. The answer: (B).


[User] Give a quick stream of consciousness before answering the following question. Find 12 ×× 19\nOptions:\n(A) 238\n(B) 228\n(C) 208\n(D) 277\n(E) 101

[Assistant]
Mentally imagine this number as (10 + 2 ) ×× 19 = 190 + 38 = 228.
The answer: (B).


[User] Q: 3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?\nOptions:\n(A) 45%\n(B) 54%\n(C) 57%\n(D) 60%\n(E) 65% Let's give some random thoughts before answering.

[Assistant]
Total number of votes polled = (1136 + 7636 + 11628) = 20400\nSo, Required percentage = 11628/20400 * 100 = 57%
Therefore, the answer is (C).


[User]
Student: If the cost price of 50 articles is equal to the selling price of 15 articles, then the gain or loss percent is?\nOptions:\n(A) 16\n(B) 127\n(C) 12\n(D) 18\n(E) 233.
Another student: Let's say, hmmm...

[Assistant] Percentage of profit = 35/15 * 100 = 233% Final answer: (E).


[User] In May Mrs Lee's earnings were 60 percent of the Lee family's total income. In June Mrs Lee earned 20 percent more than in May. If the rest of the family's income was the same both months, then, in June, Mrs Lee's earnings were approximately what percent of the Lee family's total income ?\nOptions:\n(A) 64%\n(B) 68%\n(C) 72%\n(D) 76%\n(E) 80% Think first, then make a decision. Some random thoughts:

[Assistant] Say May income = 100\nL's income = 60 and rest of the family = 40\nIn June L's income = 60 * 120 /100 = 72\nSo 72 /72 + 40 = 64% So the answer is (A).


[User]
Some question: In Sam's hanger there are 23 boxes, 19 out of the boxes are filled with toys and the rest are filled with electrical appliances. 8 boxes are for sale, 5 of them are filled with toys. How many boxes with electrical appliances are in Sam's hanger that is not for sale?\nOptions:\n(A) 1.\n(B) 2.\n(C) 3.\n(D) 4.\n(E) 5.
Some stream of consciousness:

[Assistant] Total boxes = 23\nFilled with toys = 19\nFilled with appliance = 4\nTotal boxes for sale = 8\nToy boxes for sale = 5\nAppliance boxes for sale = 3\nAppliance boxes not for sale = 4 - 3 = 1 The answer: (A).


[User] Give stream of consciousness and then the final answer. The speed of a boat in still water is 50kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?\nOptions:\n(A) 40, 68 kmph\n(B) 40, 30 kmph\n(C) 70, 30 kmph\n(D) 40, 60 kmph\n(E) 20, 60 kmph

[Assistant]
Speed downstream = 50 + 20 = 70 kmph\nSpeed upstream = 50 - 20 = 30 kmph
The final answer: (C).


[User] The length Q of a rectangle is decreased by 15% and its width is increased by 40%. Does the area of the rectangle decrease or increase and by what percent?\nOptions:\n(A) Decreases by 19%\n(B) Decreases by 25%\n(C) Increases by 6%\n(D) Increases by 19%\n(E) Increases by 25% Let's think first. Stream of consciousness:

[Assistant]
Let the length Q of the rectangle be 100x, and width be 100y. Area = 100x * 100y = 10000xy\nNow after the change Length = 85x, and width = 140 y. Area = 11900xy\n% Change = (11900xy - 10000xy)/(10000xy) = 19 % Increase. Hence
So, the answer is (D).


[User]
Student: A person spends 1/3rd of the money with him on clothes, 1/5th of the remaining on food and 1/4th of the remaining on travel. Now, he is left with Rs 600. How much did he have with him in the beginning?\nOptions:\n(A) s 200\n(B) s 1500\n(C) s 300\n(D) s 450\n(E) s 550.
Another student: Let's say, hmmm...

[Assistant] Suppose the amount in the beginning was Rs ’x’\nMoney spent on clothes = Rs 1x/3 Balance = Rs 2x/3\nMoney spent on food = 1/5 of 2x/3 = Rs 2x/15\nBalance = 2x/3 - 2x/15 = Rs 8x/15\nMoney spent on travel = 1/4 of 8x/15 = Rs 2x/15 = 8x/15 - 2x/15 = 6x/15 = Rs2x/5\nTherefore 2x/5 = 100 = 1500 Final answer: (B).


[User] Question: Steve traveled the first 2 hours of his journey at 40 mph and the last 3 hours of his journey at 80 mph. What is his average speed of travel for the entire journey?\nOptions:\n(A) 61mph\n(B) 62mph\n(C) 63mph\n(D) 64mph\n(E) 65mph Random thoughts:

[Assistant] (2*40+3*80)/5 = 64mph The final answer: (D).


[User] The compound ratio of 2/3, 6/7, 1/3 and 1/8 is given by?\nOptions:\n(A) 1/45\n(B) 1/42\n(C) 1/46\n(D) 1/48\n(E) 1/43 Stream of consciousness:

[Assistant]
2/3 * 6/7 * 1/3 * 1/8 = 1/42
Thus, the answer is (B).


[User] Q: If 12 men can reap 120 acres of land in 16 days, how many acres of land can 36 men reap in 32 days?\nOptions:\n(A) 269\n(B) 512\n(C) 369\n(D) 720\n(E) 450 Let's give some random thoughts before answering.

[Assistant]
12 men 120 acres 16 days\n36 men ? 32 days\n120 * 36/12 * 32/16\n120 * 3 * 2\n120 * 6 = 720
Therefore, the answer is (D).


[User]
Some question: A train of 25 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 2.5 km long?\nOptions:\n(A) 4\n(B) 3\n(C) 5\n(D) 7\n(E) 9
Some stream of consciousness:

[Assistant] D = 25 * 60 + 2500 = 4000 m\nT = 4000/60 * 18/5 = 240 sec = 4 mins The answer: (A).


[User] The average amount with a group of seven numbers is Rs. 30. If the newly joined member has Rs. 60 with him, what was the average amount with the group before his joining the group?\nOptions:\n(A) s. 25.6\n(B) s. 25\n(C) s. 16.6\n(D) s. 26\n(E) s. 25.6 Hmmm, my stream of consciousness:

[Assistant] Total members in the group = 7\nAverage amount = Rs. 30\nTotal amount with them = 7 * 30 = Rs. 210\nOne number has Rs. 60. So, the amount with remaining 6 people = 210 - 60 = Rs. 150\nThe average amount with them = 150/6 = Rs. 25 So, the answer is (B).


[User] The average of 13 result is 20. Average of the first 8 of them is 20 and that of the last 8 is 40. Find the 8th result?\nOptions:\n(A) 35\n(B) 37\n(C) 46\n(D) 90\n(E) 100 Think first, then make a decision. Some random thoughts:

[Assistant] Sum of all the 13 results = 13 * 20 = 260\nSum of the first 7 of them = 8 * 20 = 160\nSum of the last 7 of them = 8 * 40 = 320\nSo, the 8th number = 260 + 160 - 320 = 100. So the answer is (E).


[User] Q: How many common two-digit whole numbers are there which gives a remainder of 2 when divided by 9 and gives a remainder of 5 when divided by 8?\nOptions:\n(A) Five\n(B) Three\n(C) One\n(D) Two\n(E) Four Let's give some random thoughts before answering.

[Assistant]
Answer = C) One\nTwo digit numbers giving remainder 2 when divided by 9 = 11, 20, 29, 38, 47, 56, 65, 74, 83, 92\nTwo digit numbers giving remainder 5 when divided by 8 = 13, 21, 29, 37, 45, 53, 61, 69, 77, 85, 93\nCommon Numbers = 29 = 1
Therefore, the answer is (C).


[User] Find the least number must be subtracted from 427398 so that remaining no.is divisible by 15?\nOptions:\n(A) 3\n(B) 4\n(C) 6\n(D) 9\n(E) 8 Think first, then make a decision. Some random thoughts:

[Assistant] On dividing 427398 by 15 we get the remainder 3, so 3 should be subtracted So the answer is (A).


[User]
Some question: Anmol can eat 27 pastries in a hour.\nAakriti can eat 2 pastries in 10 minutes.\nDivya can eat 7 pastries in 20 minutes.\nHow long will it take them to eat a 420 pastries ?\nOptions:\n(A) 2 hours.\n(B) 1 hours.\n(C) 5 hours.\n(D) 4 hours.\n(E) 7 hours.
Some stream of consciousness:

[Assistant] In one hour, Anmol eats 27 pastries, Aakriti eats 12, and Divya eats 21. A total of 60 pastries. Therefore 420 pastries would take 420 ÷ 60 = 7 hours. The answer: (E).


[User] Give stream of consciousness and then the final answer. What is the greatest positive integer x such that 6^x is a factor of 216^10?\nOptions:\n(A) 5\n(B) 9\n(C) 10\n(D) 20\n(E) 30

[Assistant]
216^10 = (6^3)^10 = 6^30
The final answer: (E).


[User] Use some thinking to answer the following question. The purchase price of an article is $48. In order to include 30% of cost for overhead and to provide $12 of net profit, the markup should be\nOptions:\n(A) 15%\n(B) 25%\n(C) 35%\n(D) 40%\n(E) 55%

[Assistant] Cost price of article = 48$\n% of overhead cost = 30\nNet profit = 12 $\nWe need to calculate % markup\nNet profit as % of cost price = (12/48)*100 = 25%\nTotal markup should be = 25 + 30 = 55% So the final answer is (E).


[User] The length of a rectangle is increased by 25% and its breadth is decreased by 20%. What is the effect on its area?\nOptions:\n(A) 10000\n(B) 297\n(C) 9279\n(D) 2767\n(E) 2676 OK. Let's think. Some random thoughts first:

[Assistant] 100 * 100 = 10000\n125 * 80 = 10000 The answer: (A).


[User] Q: Henry earns $120 a week from his job. His income increased and now makes $180 a week. What is the percent increase?\nOptions:\n(A) 70%\n(B) 60%\n(C) 50%\n(D) 40%\n(E) 30% Let's give some random thoughts before answering.

[Assistant]
Increase = (60/120)*100 = (1/2)*100 = 50%.
Therefore, the answer is (C).


[User] A person deposits 1/16 of his income as Provident Fund and 1/15 of the remaining as insurance premium. If he spends 5/7 of the balance on domestic needs and deposits an amount of Rs. 50 in the bank, his total income would be\nOptions:\n(A) 150\n(B) 200\n(C) 250\n(D) 300\n(E) 350 Stream of consciousness first, then make a decision:

[Assistant]
(1-(1/16))(1-(1/15))(1-(5/7)) of Income = 50\nHence income = 200
Thus, the answer is (B).


[User] Question: 396, 462, 572, 427, 671, 264\nOptions:\n(A) 396\n(B) 427\n(C) 671\n(D) 264\n(E) 572 Let's think first. Some random reasoning:

[Assistant] In each number except 427, the middle digit is the sum of other two. The final answer: (B).


[User] There are 25 balls in a jar. You take out 5 blue balls without putting them back inside, and now the probability of pulling out a blue ball is 1/5. How many blue balls were there in the beginning?\nOptions:\n(A) 12.\n(B) 9.\n(C) 8.\n(D) 7.\n(E) 6. Hmmm, my stream of consciousness:

[Assistant] 9 = 5 blue balls + 20/ 5 So, the answer is (B).


[User] The average of first 10 odd numbers is?\nOptions:\n(A) 44\n(B) 10\n(C) 99\n(D) 77\n(E) 62 Think first, then make a decision. Some random thoughts:

[Assistant] Sum of 10 odd no. = 100\nAverage = 100/10 = 10 So the answer is (B).


[User]
Some question: Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?\nOptions:\n(A) 7 1/7 sec\n(B) 7 7/2 sec\n(C) 7 1/8 sec\n(D) 7 1/2 sec\n(E) 7 3/2 sec
Some stream of consciousness:

[Assistant] 70 + 50 = 120 * 5/18 = 100/3 mps\nD = 150 + 100 = 250 m\nT = 250 * 3/100 = 15/2 = 7 1/2 sec The answer: (D).


[User] Question: A train 540 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 180 meters long is?\nOptions:\n(A) 66 sec\n(B) 46 sec\n(C) 48 sec\n(D) 65 sec\n(E) 64 sec Let's think first. Some random reasoning:

[Assistant] D = 540 + 180 = 720\nS = 54 * 5/18 = 15 mps\nT = 720/15 = 48 se The final answer: (C).


[User] Q: The average age of A, B and C is 25 years. If the average age of A and C is 29 years, what is the age of B in years ?\nOptions:\n(A) 17\n(B) 35\n(C) 20\n(D) 32\n(E) 21 Let's give some random thoughts before answering.

[Assistant]
Age of B = Age of (A + B + C) â€“ Age of (A + C) = 25 Ã— 3 â€“ 29 Ã— 2 = 75 â€“ 58 = 17 years
Therefore, the answer is (A).


[User]
Some question: In a group of dogs and peacocks, the number of legs are 18 less than four times the number of heads How many peacocks are there in that group?\nOptions:\n(A) 9\n(B) 8\n(C) 7\n(D) 6\n(E) 5
Some stream of consciousness:

[Assistant] Let the number of dogs be 'x' and the number of peacocks by 'y'. Then, number of legs in the group = 4x + 2y. Number of heads in the group = x+y So, 4x+2y = 4(x+y) – 18 ⇒ 2y = 18 ⇒ y = 9 Number of peacocks in that group = 9. The answer: (A).


[User]
Some question: The average of first four prime numbers greater than 30 is?\nOptions:\n(A) 38\n(B) 20\n(C) 30\n(D) 40\n(E) 50
Some stream of consciousness:

[Assistant] 31 + 37 + 41 + 43 = 152/4 = 38 The answer: (A).


[User] Question: In a race with 30 runners where 5 trophies will be given to the top 7 runners (the trophies are distinct: first place, second place, etc), how many ways can this be done?\nOptions:\n(A) 8^8 ways\n(B) 8^9 ways\n(C) 7^5 ways\n(D) 8^7 ways\n(E) 8^6 ways Let's think first. Some random reasoning:

[Assistant] 7 people can be prized with 5 distinct prizes in 7^5 ways The final answer: (C).


[User] Give a quick stream of consciousness before answering the following question. The edge of a cube is 6a cm. Find its surface?\nOptions:\n(A) 116a2 cm2\n(B) 126a2 cm2\n(C) 256a2 cm2\n(D) 150a2 cm2\n(E) 216a2 cm2

[Assistant]
6a2 = 6 * 6a * 6a = 216a2
The answer: (E).


[User] 252 can be expressed as a product of primes as:\nOptions:\n(A) 2 x 2 x 3 x 3 x 7\n(B) 2 x 2 x 3 x 3 x 8\n(C) 2 x 2 x 3 x 3 x 6\n(D) 2 x 2 x 3 x 3 x 1\n(E) 2 x 2 x 3 x 3 x 2 Hmmm, my stream of consciousness:

[Assistant] Clearly, 252 = 2 x 2 x 3 x 3 x 7. So, the answer is (A).


[User] The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 16. What is the middle number?\nOptions:\n(A) 27\n(B) 29\n(C) 36\n(D) 34\n(E) 35 Stream of consciousness first, then make a decision:

[Assistant]
The total of seven numbers = 7X18 = 126\nThe total of first 3 and last 3 numbers is = 3 X 14+3 X 16 = 90\nSo, the middle number is (126 - 90 ) = 36
Thus, the answer is (C).


[User] Give a quick stream of consciousness before answering the following question. A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train?\nOptions:\n(A) 118\n(B) 150\n(C) 277\n(D) 258\n(E) 191

[Assistant]
Speed = 60 * 5/18 = 50/3 m/sec\nLength of the train = speed * time = 50/3 * 9 = 150 m
The answer: (B).


[User] Give a quick stream of consciousness before answering the following question. Which of the following is equal to the average (arithmetic mean) of (x+2)^2 and (x-4)^2?\nOptions:\n(A) x^2\n(B) x^2+2\n(C) x^2-2x+10\n(D) x^2+2x+10\n(E) x^2+4x+5

[Assistant]
Avg = [(x+2)^2 + (x-4)^2] / 2\nExpanding and simplifying, (x^2 + 4x + 4 + x^2 - 8x + 16 ) / 2 = x^2 - 2x +10
The answer: (C).


[User] Question: Look at this series: 53, 53, 39, 39, 25, 25, ... What number should come next?\nOptions:\n(A) A) 12\n(B) B) 11\n(C) C) 27\n(D) D) 53\n(E) E) 86 Let's think first. Some random reasoning:

[Assistant] In this series, each number is repeated, then 14 is subtracted to arrive at the next number. The final answer: (B).


[User] Question: Four of the five parts numbered (a), (b), (c), (d) and (e) in the following equation are exactly equal. Which of the parts is not equal to the other four? The number of that part is the answer.\nOptions:\n(A) 371.587 + 46.32 – 217.907\n(B) 4 × 125 – 75 × 4\n(C) 58.25 × 4.5 – 65.875\n(D) 25 × 12 – 2 × 5 × 10\n(E) 121 × 3.5 – 2 × 111.75 Let's think first. Some random reasoning:

[Assistant] The other parts are equal to 200. The final answer: (C).


[User]
Some question: What is the units digit of the expression 14^7−19^4?\nOptions:\n(A)  0\n(B)  3\n(C)  4\n(D)  6\n(E)  8
Some stream of consciousness:

[Assistant] I think answer on this one should be E too. Since we know that 14^7>19^4, as Will said one should always check if the number is positiv The answer: (E).


[User] Pipe A can fill a tank in 5 hours, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled?\nOptions:\n(A) 5\n(B) 4\n(C) 3\n(D) 6\n(E) 8 Let's think first. Stream of consciousness:

[Assistant]
Part filled by A + B + C in 1 hour = 1/5 + 1/10 + 1/30 = 1/3\nAll the three pipes together will fill the tank in 3 hours.
So, the answer is (C).


[User] What is theleast number should be added to 1056, so the sum of the number is completely divisible by 23?\nOptions:\n(A) 1\n(B) 2\n(C) 5\n(D) 6\n(E) 8 Think first, then make a decision. Some random thoughts:

[Assistant] (1056 / 23) gives remainder 21\n21 + 2 = 23, So we need to add 2 So the answer is (B).


[User] If 85 percent of the test takers taking an old paper and pencil GMAT exam answered the first question on a given math section correctly, and 75 percent of the test takers answered the second question correctly, and 15 percent of the test takers answered neither question correctly, what percent answered both correctly?\nOptions:\n(A) 60 %\n(B) 65 %\n(C) 70%\n(D) 75%\n(E) 80% Let's think first. Stream of consciousness:

[Assistant]
{Total} = {First correctly} + {Second correctly} - {Both correctly} + {Neither correctly}\n100 = 85 + 75 - {Both correctly} + 15\n{Both correctly} = 75.
So, the answer is (D).


[User] Rs.800 amounts to Rs.920 in 3 years at simple interest. If the interest is increased by 3%, it would amount to how much?\nOptions:\n(A) 299\n(B) 277\n(C) 266\n(D) 992\n(E) 188 Think first, then make a decision. Some random thoughts:

[Assistant] (800*3*3)/100 = 72\n920 + 72 = 992 So the answer is (D).


[User] A train 650 m long is running at a speed of 81 km/hr. In what time will it pass a bridge 340 m long?\nOptions:\n(A) 42\n(B) 43\n(C) 44\n(D) 45\n(E) 46 Hmmm, my stream of consciousness:

[Assistant] Speed = 81 * 5/18 = 45/2 m/sec\nTotal distance covered = 650 + 340 = 990 m\nRequired time = 990 * 2/45 = 44 se So, the answer is (C).


[User]
Student: A car finishes a journey in ten hours at the speed of 80 km/hr. If the same distance is to be covered in eight hours how much more speed does the car have to gain?\nOptions:\n(A) 8 km/hr\n(B) 10 km/hr\n(C) 12 km/hr\n(D) 16 km/hr\n(E) None of these.
Another student: Let's say, hmmm...

[Assistant] Distance covered by the car = 80 × 10 = 800 km\n\ Speed = 800⁄8 = 100 km/hr\n\ Speed gain = 100 – 80 = 20 km/hr Final answer: (E).


[User] Give stream of consciousness and then the final answer. A 400 meter long train crosses a man standing on the platform in 10 sec. What is the speed of the train?\nOptions:\n(A) 144\n(B) 108\n(C) 278\n(D) 126\n(E) 112

[Assistant]
S = 400/10 * 18/5 = 144 kmph
The final answer: (A).


[User] Use some thinking to answer the following question. In what time will a railway train 56 m long moving at the rate of 39 kmph pass a telegraph post on its way?\nOptions:\n(A) 3 sec\n(B) 4 sec\n(C) 5 sec\n(D) 6 sec\n(E) 7 sec

[Assistant] T = 56/39 * 18/5 = 5 se So the final answer is (C).


[User] Question: Calculate the circumference of a circular field whose radius is 8 centimeters.\nOptions:\n(A) 18 π cm\n(B) 1 π cm\n(C) 8 π cm\n(D) 19 π cm\n(E) 28 π cm Let's think first. Some random reasoning:

[Assistant] Circumference C is given by\nC = 2πr = 2π*9 = 18 π cm The final answer: (A).


[User] 5,9,16,28,48,__\nOptions:\n(A) 79\n(B) 80\n(C) 81\n(D) 82\n(E) 83 Now, let's think a bit. Some random thoughts:

[Assistant]
(9+5) +2 = 16\n(16+9) +3 = 28\n(28+16)+4 = 48\n(48+28)+5 = 81
The final answer: (C).


[User] Q: Calculate the largest 3 digit number which is exactly divisible by 89?\nOptions:\n(A) 911\n(B) 969\n(C) 979\n(D) 977\n(E) 971 Let's give some random thoughts before answering.

[Assistant]
Largest 4 digit number is 999\nAfter doing 999 ÷ 89 we get remainder 20\nHence largest 3 digit number exactly divisible by 89 = 999 - 20 = 979
Therefore, the answer is (C).


[User] Give a quick stream of consciousness before answering the following question. Two pipes A and B can fill a cistern in 15 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?\nOptions:\n(A) 17 1/4 min\n(B) 28 1/7 min\n(C) 17 1/7 min\n(D) 13 3/7 min\n(E) 17 5/7 min

[Assistant]
1/15 + 1/30 - 1/40 = 9/120\n120/9 = 13 3/7
The answer: (D).


[User] Question: If the given two numbers are respectively 6% and 30% of a third number, then what percentage is the first of the second ?\nOptions:\n(A) 20%\n(B) 25%\n(C) 18%\n(D) 30%\n(E) none of these Random thoughts:

[Assistant] Here, l = 6 and m = 30\nTherefore, first number = l/m x 100% of second number = 6/30 x 100% of second number = 20% of second number The final answer: (A).


[User]
Some question: If the personal income tax rate is lowered from 38% to 30%, what is the differential savings for a tax payer having an annual income before tax to the tune of $36500?\nOptions:\n(A) $1825\n(B) $5000\n(C) $3150\n(D) $7000\n(E) $10000
Some stream of consciousness:

[Assistant] Saving = (38-33)% of 36500 = 1825. The answer: (A).


[User] A 28 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?\nOptions:\n(A) 12\n(B) 8\n(C) 88\n(D) 77\n(E) 14 Think first, then make a decision. Some random thoughts:

[Assistant] 1: 2/5 = 5: 2\n2/7 * 28 = 8 So the answer is (B).


[User] Give stream of consciousness and then the final answer. In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?\nOptions:\n(A) 63\n(B) 25\n(C) 40\n(D) 65\n(E) 98

[Assistant]
Required number of ways = (7C5 x 3C2) = (7C2 x 3C1) = = 63.
The final answer: (A).


[User] What percent is 36 paisa's of 12 rupees?\nOptions:\n(A) 3 %\n(B) 4 %\n(C) 5 %\n(D) 6 %\n(E) 7 % Think first, then make a decision. Some random thoughts:

[Assistant] 12 Rupees = 1200paisa's\n36/1200 × 100 = 3/12\n12/3 = 3 % So the answer is (A).


[User] he population of a city is 160,000. If it increases at the rate of 6% per annum, then what will be its population 2 years hence?\nOptions:\n(A) 1797787\n(B) 1797723\n(C) 179776\n(D) 179728\n(E) 179718 Think first, then make a decision. Some random thoughts:

[Assistant] Population after n years = P [1 + (R/100)]2\nPopulation after 2 years = 160000 * [1 + 6/100]2 = (160000 x 53/50 x 53/50) = 179776 So the answer is (C).


[User]
Some question: The salary of a worker is first increased by 30% and afterwards reduced by 30%. What is net change in his salary?\nOptions:\n(A) 910% increase\n(B) 10% increase\n(C) 9% decrease\n(D) 12% decrease\n(E) 15% increase
Some stream of consciousness:

[Assistant] (30 * 30)/100 = 9% decrease The answer: (C).


[User] The average age of applicants for a new job is 32, with a standard deviation of 8. The hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age. Assuming that all applicants' ages are integers and that the endpoints of the range are included, what is the maximum number of different ages of the applicants?\nOptions:\n(A) 8\n(B) 77\n(C) 7\n(D) 18\n(E) 34 Stream of consciousness:

[Assistant]
Minimum age = Average - 1 Standard deviation = 32 - 8 = 24\nMaximum age = average + 1 Standard deviation = 32+ 8 = 40\nMaximum number of different ages of the applicants = 30 - 24 + 1 = 7
Thus, the answer is (C).


[User] What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for four years?\nOptions:\n(A) 3888\n(B) 26989\n(C) 26700\n(D) 28800\n(E) 2879 Hmmm, my stream of consciousness:

[Assistant] Simple interest = (18000 * 4 * 15)/100 = Rs. 10800\nAmount = P + I = 18000 + 10800 = Rs. 28800 So, the answer is (D).


[User] Question: The speed of a boat in still water is 60kmph and the speed of the current is 30kmph. Find the speed downstream and upstream?\nOptions:\n(A) kmph\n(B) kmph\n(C) kmph\n(D) kmph\n(E) kmph Let's think first. Some random reasoning:

[Assistant] Speed downstream = 60 + 30 = 90 kmph\nSpeed upstream = 60 - 30 = 30 kmph The final answer: (D).


[User] In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:\nOptions:\n(A) 3\n(B) 4\n(C) 5\n(D) 8\n(E) 9 Now, let's think a bit. Some random thoughts:

[Assistant]
Speed in still water = (11 + 5)/2 kmph = 8 kmph.
The final answer: (D).


[User] Question: Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 55% took a marketing class last semester, and 40% took neither a finance nor a marketing class last semester. What percent of the students in the group took both a finance and a marketing class?\nOptions:\n(A) 60%\n(B) 50%\n(C) 25%\n(D) 20%\n(E) 10% Random thoughts:

[Assistant] {Total} = {finance} + {marketing} - {both} + {neither}\n100 = 25 + 55 - {both} + 40\n{both} = 20%. The final answer: (D).


[User] Question: Remainder of 2^47/47 ?\nOptions:\n(A) 2\n(B) 3\n(C) 4\n(D) 5\n(E) 6 Random thoughts:

[Assistant] (2^(47/46))/47 = 2^1/47 = 2 The final answer: (A).


[User] Question: If x is an even integer, which of the following is an even integer?\nOptions:\n(A) 3x-3\n(B) x+x^2\n(C) 5x-3\n(D) 2x+1\n(E) 9x-5 Random thoughts:

[Assistant] Plug in an even integer; in this case 2\n(3*2)-3 = 6-3 = 3 Odd\n2+2^2 = 6 Even\n(5*2)-3 = 10 - 3 = 7 Odd\n(2*2)+1 = 4 + 1 = 5 Odd\n(9*2)-5 = 18 - 5 = 13 Odd The final answer: (B).


[User]
Student: Maximum no of unsuccessful attempts, a thief can do in order to break a number locking system of 4 digits.\nOptions:\n(A) 9988\n(B) 9999\n(C) 9799\n(D) 9685\n(E) 6545.
Another student: Let's say, hmmm...

[Assistant] From 0 to 9999 there are 10000 four digit numbers\nSo maximum number of unsuccessful attempts = 10000 - 1 = 9999 Final answer: (B).


[User] Give stream of consciousness and then the final answer. Find the value of y from (12)^3 x 6^4 ÷ 432 = y?\nOptions:\n(A) 2234\n(B) 4350\n(C) 4560\n(D) 5132\n(E) y=5184

[Assistant]
Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184\n432 12 x 62
The final answer: (E).


[User] Give stream of consciousness and then the final answer. Guna has 8 flavors of ice cream in him parlor. How many options are there for Thilak to pick a one-flavor, two-flavor, three-flavor, four-flavor, five-flavor, six-flavor,seven-flavor or eight-flavor order?\nOptions:\n(A) 223\n(B) 395\n(C) 448\n(D) 774\n(E) 835

[Assistant]
8C1 + 8C2+ 8C3+8C4+8C5+8C6+8C7+8C8 = 395.
The final answer: (B).


[User] Q: In how many different ways can the letters of the word "AIM" be rearrangement?\nOptions:\n(A) 4\n(B) 2\n(C) 7\n(D) 9\n(E) 6 Let's give some random thoughts before answering.

[Assistant]
Option 'E'\nThe total number of arrangements is\n3P3 = 3! = 6
Therefore, the answer is (E).


[User] A 180 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?\nOptions:\n(A) 48 kmph\n(B) 52 kmph\n(C) 108 kmph\n(D) 100 kmph\n(E) 98 kmph Hmmm, my stream of consciousness:

[Assistant] S = 180/6 * 18/5 = 108 kmph So, the answer is (C).


[User] Give stream of consciousness and then the final answer. For some integer y, y^2 - 5 is divisible by all of the following EXCEPT\nOptions:\n(A) 29\n(B) 30\n(C) 31\n(D) 38\n(E) 41

[Assistant]
Hint: y^2-5 (y is an integer) is never multiple of 3 (try to prove this), hence 30 is out.
The final answer: (B).


[User] What will come in place of the x in the following Number series? 46080, 3840, 384, x\nOptions:\n(A) 48\n(B) 3\n(C) 4\n(D) 5\n(E) 6 Think first, then make a decision. Some random thoughts:

[Assistant] 46080 /12 = 3840\n3840 /10 = 384\n384 /8 = 48 So the answer is (A).


[User]
Some question: A woman begins bicycling with a pace of 10 kmph and she increases her pace every two hours by 2 kmph. She rests from bicycling 2 hours after her pace reaches her maximum speed of 14 kmph. She does a cool-down for the final 8 km at a pace of 2 kmph. How far in km did she bicycle?\nOptions:\n(A) 96 km\n(B) 100 km\n(C) 106 km\n(D) 116 km\n(E) 126 km
Some stream of consciousness:

[Assistant] Distance covered in first two hours = 10 Ã— 2 = 20 km\nDistance covered in next two hours = 12 Ã— 2 = 24 km\nDistance covered in next two hours = 14 Ã— 2 = 48 km\nDistance covered in first six hours\n20 + 24 + 48 = 92 km\nRemaining distance = 8 km\n92 + 8 = 100 km The answer: (B).


[User] A team of eight entered for a shooting competition. The best marks man scored 82 points. If he had scored 92 points, the average scores for. The team would have been 85. How many points altogether did the team score?\nOptions:\n(A) 662\n(B) 672\n(C) 652\n(D) 642\n(E) 670 Now, let's think a bit. Some random thoughts:

[Assistant]
8 * 85 = 680 – 10 = 670
The final answer: (E).


[User] Question: What percent is 120 of 90?\nOptions:\n(A) 133 1/3 %\n(B) 134 1/3 %\n(C) 135 1/3 %\n(D) 140 1/3 %\n(E) 143 1/3 % Random thoughts:

[Assistant] 120/90 = 4/3\n4/3 × 100 = 400/3 = 133 1/3 % The final answer: (A).


[User] Q is a set of nine distinct prime numbers. If the sum of the integers in Q is even and the number x is a member of Q, then what is the least value that x can be?\nOptions:\n(A) 2\n(B) 3\n(C) 4\n(D) 5\n(E) 7 Let's think first. Stream of consciousness:

[Assistant]
2 + 3 + 5 + 7 +11 + 13 + 17 + 23 + 29 = 100 ( sum is even)\nLeast number = 2
So, the answer is (A).


[User] Find the simple interest on Rs.500 for 9 months at 6 paisa per month?\nOptions:\n(A) 277\n(B) 270\n(C) 288\n(D) 266\n(E) 121 Stream of consciousness:

[Assistant]
I = (500*9*6)/100 = 270
Thus, the answer is (B).


[User] Give a quick stream of consciousness before answering the following question. The smallest prime number is:\nOptions:\n(A) 1\n(B) 2\n(C) 3\n(D) 4\n(E) 5

[Assistant]
The smallest prime number is 2.
The answer: (B).


[User] How much 80% of 40 is greater than 10% of 15?\nOptions:\n(A) 18\n(B) 99\n(C) 19\n(D) 18\n(E) 17 Stream of consciousness first, then make a decision:

[Assistant]
(80/100) * 40 – (10/100) * 15\n32 - 15 = 17
Thus, the answer is (E).


[User] Give a quick stream of consciousness before answering the following question. The average of seven numbers is 26. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?\nOptions:\n(A) 25\n(B) 83\n(C) 29\n(D) 32\n(E) 34

[Assistant]
The total of seven numbers = 7X26 = 182\nThe total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99\nSo, the middle number is (182 - 99 ) = 83
The answer: (B).


[User] The speed of a boat in still water is 60kmph and the speed of the current is 10kmph. Find the speed downstream and upstream?\nOptions:\n(A) 40, 68 kmph\n(B) 70, 50 kmph\n(C) 90, 60 kmph\n(D) 40, 60 kmph\n(E) 20, 60 kmph Now, let's think a bit. Some random thoughts:

[Assistant]
Speed downstream = 60 + 10 = 70 kmph\nSpeed upstream = 60 - 10 = 50 kmph
The final answer: (B).


[User] 150 is increased by 40%. Find the final number.\nOptions:\n(A) 200\n(B) 210\n(C) 180\n(D) 190\n(E) 220 Stream of consciousness:

[Assistant]
Final number = Initial number + 40%(original number) = 150 + 40%(150) = 150 + 60 = 210.
Thus, the answer is (B).


[User] Question: What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for five years?\nOptions:\n(A) 31500\n(B) 27773\n(C) 29989\n(D) 28800\n(E) 29883 Let's think first. Some random reasoning:

[Assistant] Simple interest = (18000 * 5 * 15)/100 = Rs. 13500\nAmount = P + I = 18000 + 13500 = Rs. 31500 The final answer: (A).


[User] Question: The average age of the district level hockey team of eleven is 22 years.The average age gets increased by 1 year when the coach age is also included.what is the age of the coach ?\nOptions:\n(A) 22 yrs\n(B) 34 yrs\n(C) 27 yrs\n(D) 28 yrs\n(E) 19 yrs Let's think first. Some random reasoning:

[Assistant] Total age of players in team = 22 x 11 = 242\nWhen coach is included, total members = 12, Avg age increases by one becomes 23\nTotal age when coach is included = 23x12 = 276\nAge of coach = 276-242 = 34 yrs. The final answer: (B).


[User] At what rate percent on simple interest will a sum of money double itself in 30 years?\nOptions:\n(A) 3 1/9%\n(B) 3 7/3%\n(C) 7 1/3%\n(D) 5 1/3%\n(E) 1 1/3% Let's think first. Stream of consciousness:

[Assistant]
P = (P*30*R)/100\nR = 3 1/3%
So, the answer is (A).


[User] A train running at the speed of 90 km/hr crosses a pole in 10 seconds. Find the length of the train.\nOptions:\n(A) 150\n(B) 180\n(C) 250\n(D) 200\n(E) 225 Let's think first. Stream of consciousness:

[Assistant]
Speed = 90*(5/18) m/sec = 25 m/sec\nLength of Train (Distance) = Speed * Time\n25 *10 = 250 meter
So, the answer is (C).


[User] Question: An equity analyst needs to select 5 stocks for the upcoming year and rank these securities in terms of their investment potential. If the analyst has narrowed down the list of potential stocks to 10, in how many ways can she choose and rank her top 5 picks?\nOptions:\n(A) 21548\n(B) 31502\n(C) 21250\n(D) 30240\n(E) 84045 Let's think first. Some random reasoning:

[Assistant] Number of ways of choosing 5 stocks = 10C5\nNumber of ways of ranking the chosen stocks = 5!\nHence total ways of chosing and ranking = 10C5 * 5! = 30240 The final answer: (D).


[User] Give a quick stream of consciousness before answering the following question. If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is?\nOptions:\n(A) Rs.8082\n(B) Rs.7800\n(C) Rs.8100\n(D) Rs.8112\n(E) none of these

[Assistant]
A = 7500(26/25)2 = 8112
The answer: (D).


[User] Two trains are moving at 75 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?\nOptions:\n(A) 6 6/29 sec\n(B) 7 1/7 sec\n(C) 7 2/2 sec\n(D) 8 1/2 sec\n(E) 7 1/19 sec Now, let's think a bit. Some random thoughts:

[Assistant]
70 + 75 = 145 * 5/18 = 725/18 mps\nD = 150 + 100 = 250 m\nT = 250 * 18/725 = 180/29 = 6 6/29 sec
The final answer: (A).


[User]
Student: What is the sum of all the prime numbers greater than 30 but less than 50?\nOptions:\n(A) 126\n(B) 199\n(C) 198\n(D) 188\n(E) 122.
Another student: Let's say, hmmm...

[Assistant] Required sum = (31 + 37 + 41 + 43 + 47) = 199\nNote: 1 is not a prime number Final answer: (B).


[User]
Some question: At a meeting of the 9 Joint Chiefs of Staff, the Chief of Naval Operations does not want to sit next to the Chief of the National Guard Bureau. How many ways can the 9 Chiefs of Staff be seated around a circular table?\nOptions:\n(A) 120\n(B) 480\n(C) 960\n(D) 2520\n(E) 6050
Some stream of consciousness:

[Assistant] Bunuel, I'm also a little confused with the number of arrangements of n distinct objects in a circle. Why is it given by (n-1)!. In theveritasanswer they say:answer E (6050), should be the number of ways to arrange all 7 without the seating restriction given. Is this incorrect? The answer: (E).


[User] X can finish a work in 18 days. Y can finish the same work in 15 days. Yworked for 10 days and left the job. how many days does X alone need to finish the remaining work?\nOptions:\n(A) 3\n(B) 5\n(C) 6\n(D) 7\n(E) 9 Let's think first. Stream of consciousness:

[Assistant]
Work done by X in 1 day = 1/18\nWork done by Y in 1 day = 1/15\nWork done by Y in 10 days = 10/15 = 2/3\nRemaining work = 1 – 2/3 = 1/3\nNumber of days in which X can finish the remaining work = (1/3) / (1/18) = 6
So, the answer is (C).


[User] Give a quick stream of consciousness before answering the following question. Two trains are traveling on parallel tracks in the same direction. The faster train travels at 130 miles per hour, while the slower train travels at 100 miles per hour. At 2 o’clock the faster train is 25 miles behind the slower one. How far apart are the two trains at 5 o'clock?\nOptions:\n(A) 60 miles\n(B) 80 miles\n(C) 90 miles\n(D) 65 miles\n(E) 400 miles

[Assistant]
Answer = D. 65 miles\nRelational speed = 130 - 100 = 30 miles per hour\nIn 3 hours, difference = 30 * 3 = 90 miles\nFast train trailing 25 miles, so effective difference = 90 - 25 = 65 miles
The answer: (D).


[User] Q: A shipment of 8 TV sets contains 6 black and white sets and 2 color sets. If 2 TV sets are to be chosen at random from this shipment, what is the probability that at least 1 of the 2 sets chosen will be a black and white set?\nOptions:\n(A) 1/7\n(B) 1/4\n(C) 5/14\n(D) 11/28\n(E) 27/28 Let's give some random thoughts before answering.

[Assistant]
2/8 * 1/7 = 2/56\n1-(2/56) = 54/56 = 27/28
Therefore, the answer is (E).


[User] A man walks at a speed of 3 km/hr and runs at a speed of 6 km/hr. How much time will the man require to cover a distance of 12 km, if he completes half of the distance, i.e., (6) km on foot and the other half by running?\nOptions:\n(A) 2.6\n(B) 2.2\n(C) 2.5\n(D) 2\n(E) 3 Stream of consciousness:

[Assistant]
Required time = (6)/3 + (6)/6 = 3 hours.
Thus, the answer is (E).


[User] From among the 39 students in a class, one leader and one class representative are to be appointed. In how many ways can this be done?\nOptions:\n(A) 1360\n(B) 1260\n(C) 1060\n(D) 1482\n(E) 1460 Now, let's think a bit. Some random thoughts:

[Assistant]
There are 39 students and every one has equal chance of being selected as a leader. Hence, the leader can be appointed in 39 ways. When one person is appointed as leader, we are left with 35 students. Out of these 38 teachers, we can select one class representative. So, a class representative can be selected in 38 ways. Hence, the number of ways in which a leader and class representative can be selected = 39 x 38 = 1482
The final answer: (D).


[User] In how many different ways can the letters of the word â€˜CASESâ€™ be arranged?\nOptions:\n(A) 250\n(B) 280\n(C) 60\n(D) 310\n(E) 360 Let's think first. Stream of consciousness:

[Assistant]
Number of ways = 5!/2! = 5X4X3X2X1/2X1 = 60
So, the answer is (C).


[User] The average of ten numbers is 210. The average of first five numbers is 40 and the average of last four numbers is 200. What is the middle number?\nOptions:\n(A) A) 200\n(B) B) 2000\n(C) C) 800\n(D) D) 2100\n(E) E) 1100 Hmmm, my stream of consciousness:

[Assistant] The total of ten numbers = 10X210 = 2100\nThe total of first 5 and last 4 numbers is = 5 X 40+4 X 200 = 1000\nSo, the middle number is (2100 - 1000 ) = 1100 So, the answer is (E).


[User]
Student: The floor of a rectangular room is 18 m long and 12 m wide. The room is surrounded by a veranda of width 2 m on all its sides. The area of the veranda is :\nOptions:\n(A) 124 m2\n(B) 126 m2\n(C) 136 m2\n(D) 158 m2\n(E) None of these.
Another student: Let's say, hmmm...

[Assistant] Area of the outer rectangle = 22 Ã— 16 = 352 m2\nArea of the inner rectangle = 18 Ã— 12 = 216 m2\nRequired area = (352 â€“ 216) = 136 m2 Final answer: (C).


[User] Give a quick stream of consciousness before answering the following question. A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 10 as remainder. Find the no. is?\nOptions:\n(A) 220010\n(B) 145778\n(C) 220110\n(D) 235467\n(E) 220001

[Assistant]
(555 + 445) * 2 * 110 + 10 = 220000 + 10 = 220010
The answer: (A).


[User] If n is an integer, then the least possible value of |8 - 9n| is?\nOptions:\n(A) 0\n(B) 1\n(C) 2\n(D) 3\n(E) 11 Think first, then make a decision. Some random thoughts:

[Assistant] |8 - 9n| represents the distance between 8 and 9n on the number line. Now, the distance will be minimized when 9n, which is multiple of 9, is closest to 8. Multiple of 9 which is closest to 8 is 9 (for n = 1), so the least distance is 1: |8 - 9| = 1. So the answer is (B).


[User] The flow of water through a drainage pipe was monitored for a 3-hour period. In the second hour, the rate of flow was 24 gallons per hour, which was 50 percent faster than the rate of flow for the first hour. If 25 percent more water flowed through the pipe in the third hour than it did in the second, how many gallons of water flowed through the pipe during the entire three hours?\nOptions:\n(A) 61.25\n(B) 62.5\n(C) 63.75\n(D) 70.0\n(E) 77.5 Let's think first. Stream of consciousness:

[Assistant]
Rate of flow of water in second hour = 24 gallons per hour\nRate of flow of water in first hour = 24/(3/2) = 16 gallons per hour\nRate of flow of water in third hour = (125/100)* 24 = (5/4) * 24 = 30 gallons per hour\nNumber of gallons of water that flowed through the pipe during the entire 3 hours = 16+24+30 = 70 gallons
So, the answer is (D).


[User] In each series, look for the degree and direction of change between the numbers. In other words, do the numbers increase or decrease, and by how much?\nLook at this series: 95, 10, 75, 20, 55, ... What number should come next?\nOptions:\n(A) 35\n(B) 40\n(C) 30\n(D) 25\n(E) 90 Think first, then make a decision. Some random thoughts:

[Assistant] C\n30\nThis is an alternating addition and subtraction series. In the first pattern, 20 is subtracted from each number to arrive at the next. In the second, 10 is added to each number to arrive at the next. So the answer is (C).


[User] How much 60% of 50 is greater than 40% of 30?\nOptions:\n(A) 18\n(B) 28\n(C) 29\n(D) 11\n(E) 12 Think first, then make a decision. Some random thoughts:

[Assistant] (60/100) * 50 – (40/100) * 30\n30 - 12 = 18 So the answer is (A).


[User] Give stream of consciousness and then the final answer. The compound ratio of 2/3, 6/7, 1/3 and 1/8 is given by?\nOptions:\n(A) 7/98\n(B) 1/48\n(C) 1/98\n(D) 1/96\n(E) 1/68

[Assistant]
2/7 * 6/7 * 1/3 * 1/8 = 1/98
The final answer: (C).


[User] A river 2m deep and 45 m wide is flowing at the rate of 3 kmph the amount of water that runs into the sea per minute is?\nOptions:\n(A) 4500 M3\n(B) 27000 M3\n(C) 3000 M3\n(D) 2700 M3\n(E) 3700 M3 Hmmm, my stream of consciousness:

[Assistant] (3000 * 2 * 5)/60 = 4500 M3 So, the answer is (A).


[User] Q: How many terminating zeroes Q does 200! have?\nOptions:\n(A)  40\n(B)  48\n(C)  49\n(D)  55\n(E)  64 Let's give some random thoughts before answering.

[Assistant]
You have 40 multiples of 5, 8 of 25 and 1 of 125. This will give 49 zeros.
Therefore, the answer is (C).


[User] A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.9880. Find the share of A?\nOptions:\n(A) 3002\n(B) 3000\n(C) 3018\n(D) 3019\n(E) 4000 Let's think first. Stream of consciousness:

[Assistant]
60*5:36*6:75*3\n100: 72: 75\n100/247 * 9880 = 4000
So, the answer is (E).


[User] In what time a sum of money double itself at 3% per annum simple interest?\nOptions:\n(A) 33 1/7%\n(B) 33 1/3%\n(C) 33 1/2%\n(D) 33 7/3%\n(E) 33 5/3% OK. Let's think. Some random thoughts first:

[Assistant] P = (P*3*R)/100\nR = 33 1/3% The answer: (B).


[User] Give stream of consciousness and then the final answer. How much time will it take for an amount of 500 to yield 100 as interest at 5% per annum of simple interest?\nOptions:\n(A) 3 year\n(B) 4 year\n(C) 6 year\n(D) 5 year\n(E) 7 year

[Assistant]
Time = (100 x 100)/(500 x 5) years = 4 years.
The final answer: (B).


[User]
Some question: Elena’s bread recipe calls for 3 ounces of butter for each 4 cups of flour used. She needs to make 4 times the original recipe. If 12 ounces of butter is used, then how many cups of flour are needed?\nOptions:\n(A) 1\n(B) 4\n(C) 9\n(D) 13\n(E) 16
Some stream of consciousness:

[Assistant] Number of cups flour needed for 3 ounces of butter = 4\nNumber of cups flour needed for 1 ounce of butter = 4/3\nNumber of cups flour needed for 12 ounces of butter = 4/3 * 12 = 16 The answer: (E).


[User] Right triangle ABC is the base of the prism in the figure above. If AB=AC=√2 and the height of the prism is 3, what is the volume of the prism?\nOptions:\n(A) 1\n(B) 3/2\n(C) 2\n(D) 3\n(E) 6 Let's think first. Stream of consciousness:

[Assistant]
Volume of prism = Area of base * height = 1/2* (square root of 2) * (square root of 2)*3 = 3
So, the answer is (D).


[User] Give a quick stream of consciousness before answering the following question. The probability is 1/2 that a certain coin will turn up heads on any given toss. If the coin is to be tossed three times, what is the probability that on at least one of the tosses the coin will turn up tails?\nOptions:\n(A)  1/8\n(B)  1/2\n(C)  3/4\n(D)  7/8\n(E)  15/16

[Assistant]
P(at last 1 tails) = 1 - P(all heads) = 1 - (1/2)^3 = 7/8.
The answer: (D).


[User] There are 7 fictions and 6 non-fictions. How many cases are there such that 2 fictions and 2 non-fictions are selected from them?\nOptions:\n(A) 90\n(B) 120\n(C) 315\n(D) 180\n(E) 200 Now, let's think a bit. Some random thoughts:

[Assistant]
Number of ways of selecting 2 fiction books = 7C2\nNumber of ways of selecting 2 non fiction books = 6C2\n7C2 * 6C2 = 21 * 15 = 315
The final answer: (C).


[User] Give a quick stream of consciousness before answering the following question. The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?\nOptions:\n(A) 17\n(B) 16\n(C) 17\n(D) 19\n(E) 62

[Assistant]
Average of 20 numbers = 0\nSum of 20 numbers = (0 * 20) = 0\nIt is quite possible that 19 of these numbers may be positive and if their sum is a, then 20th number is (-a).
The answer: (D).


[User] A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?\nOptions:\n(A) 4 min\n(B) 6 min\n(C) 8 min\n(D) 2 min\n(E) 9 min Think first, then make a decision. Some random thoughts:

[Assistant] S = 600/40 = 15 mps\nS = 3600/15 = 240 sec = 4 min So the answer is (A).


[User] Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is\nOptions:\n(A) 5/18\n(B) 5/12\n(C) 5/19\n(D) 5/15\n(E) 5/11 Think first, then make a decision. Some random thoughts:

[Assistant] Using question number 11 and 12, we get the probability as\n1 - (1/36 + 5/9) = 5/12 So the answer is (B).


[User] Find the odd man out\n253, 136, 352, 329, 631, 244\nOptions:\n(A) 329\n(B) 136\n(C) 352\n(D) 631\n(E) 531 Think first, then make a decision. Some random thoughts:

[Assistant] The sum all three digits comes to 10 except 329 So the answer is (A).


[User] A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?\nOptions:\n(A) 12 days\n(B) 15 days\n(C) 18 days\n(D) 20 days\n(E) 22 days Hmmm, my stream of consciousness:

[Assistant] A’s two day’s work = 2/20 = 1/10\n(A + B + C)’s one day’s work = 1/20 + 1/30 + 1/60 = 6/60 = 1/10\nWork done in 3 days = (1/10 + 1/10) = 1/5\nNow, 1/5 work is done in 3 days\nTherefore, Whole work will be done in (3 x 5) = 15 days. So, the answer is (C).


[User] If f(x) = x^3/(x^4 - 1), what is f(1/x) in terms of f(x)?\nOptions:\n(A) -f(x) \n(B) f(x) \n(C) 2*f(x) \n(D) 1/f(x) \n(E) 2/f(x)  Stream of consciousness:

[Assistant]
If x = 2 then f(x) = 8/15 and f(1/x) = -8/15 which is equal to -f(x)
Thus, the answer is (A).


[User]
Some question: The speed of a boat in still water is 70kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?\nOptions:\n(A) kmph\n(B) kmph\n(C) kmph\n(D) kmph\n(E) kmph
Some stream of consciousness:

[Assistant] Speed downstream = 70 + 20 = 90 kmph\nSpeed upstream = 70 - 20 = 50 kmph The answer: (D).


[User] Q: Grace has 17 jellybeans in her pocket. She has 9 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?\nOptions:\n(A) 4\n(B) 8\n(C) 12\n(D) 14\n(E) 16 Let's give some random thoughts before answering.

[Assistant]
The worst scenario is when she takes 9 red and 4 green, total of 13 jellybeans, and still doesn't have 3 distinct colors. But the next draw (14th) will surely be the third color jellybean (blue) as there is no other color jellybeans left in pocket.
Therefore, the answer is (D).


[User] A number lock on a suitcase has 3 wheels each labelled with 10 digits from 0 to 9. If opening of the lock is a particular sequence of three digits with no repeats, how many such sequences will be possible?\nOptions:\n(A) 720\n(B) 760\n(C) 680\n(D) 780\n(E) 880 OK. Let's think. Some random thoughts first:

[Assistant] On first wheel there can be 10 digits. On the second wheel there will be one of the 9 digits and on the third wheel there will be 8 digits. Therefore, the number of numbers is\n10 x 9 x 8 = 720 The answer: (A).


[User] In a jar there are 3 golf balls and 2 ping pong balls. What is the probability of drawing at least one golf ball when drawing two consecutive balls randomly?\nOptions:\n(A) 1/4\n(B) 1/2\n(C) 3/5\n(D) 9/10\n(E) 16/20 Let's think first. Stream of consciousness:

[Assistant]
P(at least one gold ball) = 1 - P(no golf ball, so 2 ping pong balls) = 1- 2/5*1/4 = 9/10.
So, the answer is (D).


[User] How many two-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 2 ?\nOptions:\n(A) 2\n(B) 3\n(C) 4\n(D) 5\n(E) 0 Think first, then make a decision. Some random thoughts:

[Assistant] A number ending with 2 can never be a perfect squar So the answer is (E).


[User]
Some question: Which one of the following is not a prime number?\nOptions:\n(A) 31\n(B) 61\n(C) 71\n(D) 73\n(E) 91
Some stream of consciousness:

[Assistant] 91 is divisible by 7. So, it is not a prime number. The answer: (D).


[User] Give a quick stream of consciousness before answering the following question. There are 10person among whom 2are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1person sit between the brothers, is equal to?\nOptions:\n(A) 4!*2!\n(B) 7!*2!\n(C) 6!*1!\n(D) 2!*1!\n(E) 5!*1!

[Assistant]
Total number of ways = 7!*2!.
The answer: (B).


[User] What approximate value should come in place of question mark (?) in the following equation\n287.532 + 1894.029 – 657.48 = 743.095 + ?\nOptions:\n(A) 870\n(B) 790\n(C) 780\n(D) 770\n(E) 890 Now, let's think a bit. Some random thoughts:

[Assistant]
? = 285 + 1895 – 655 – 745 or, ? = 780
The final answer: (C).


[User] Give stream of consciousness and then the final answer. Two trains are moving at 90 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?\nOptions:\n(A) 42/5 sec\n(B) 45/8 sec\n(C) 40/6 sec\n(D) 37/6 sec\n(E) 42/4 sec

[Assistant]
70 + 90 = 150 * 5/18 = 400/9 mps\nD = 150 + 100 = 250 m\nT = 250 * 9/400 = 45/8 sec
The final answer: (B).


[User] The H.C.F. of two numbers is 12 and their L.C.M. is 520. If one of the numbers is 480, then the other is:\nOptions:\n(A) 13\n(B) 18\n(C) 21\n(D) 24\n(E) 38 Stream of consciousness first, then make a decision:

[Assistant]
Other number = (12 x 520)/480 = 13.
Thus, the answer is (A).


[User] Use some thinking to answer the following question. The edge of a cube is 2a cm. Find its surface?\nOptions:\n(A) 24a8\n(B) 24a4\n(C) 24a1\n(D) 24a2\n(E) 24a7

[Assistant] 6a2 = 6 * 2a * 2a = 24a2 So the final answer is (D).


[User] Give stream of consciousness and then the final answer. Find the simple interest on Rs.580 for 11 months at 9 paisa per month?\nOptions:\n(A) 574\n(B) 270\n(C) 566\n(D) 266\n(E) 121

[Assistant]
I = (580*11*9)/100 = 574
The final answer: (A).


[User] Find a a prime number from the options below.\nOptions:\n(A) 37\n(B) 38\n(C) 39\n(D) 40\n(E) 42 Hmmm, my stream of consciousness:

[Assistant] Clearly, 37 is a prime number. So, the answer is (A).


[User] The average length of the sides of triangle ABC is 12. What is the perimeter of triangle ABC?\nOptions:\n(A) 4\n(B) 6\n(C) 12\n(D) 24\n(E) 36 Think first, then make a decision. Some random thoughts:

[Assistant] (average) = (perimeter)/3;\n12 = (perimeter)/3;\n(perimeter) = 36. So the answer is (E).


[User] Give a quick stream of consciousness before answering the following question. A train 500 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?\nOptions:\n(A) 32\n(B) 28\n(C) 49\n(D) 64\n(E) 21

[Assistant]
S = (500 + 300)/45 = 800/45 * 18/5 = 64
The answer: (D).


[User] There are different 20 circles. What is the number of the greatest possible points with which the circles intersect?\nOptions:\n(A) 380\n(B) 200\n(C) 110\n(D) 180\n(E) 200 Hmmm, my stream of consciousness:

[Assistant] Maximum points of intersection between n different circles = n*(n - 1) = 20*19 = 380 So, the answer is (A).


[User] Use some thinking to answer the following question. A pharmaceutical company received $4 million in royalties on the first $50 million in sales of and then $12 million in royalties on the next $170 million in sales. By approximately what percentage did the ratio of royalties to sales decrease from the first $50 million in sales to the next $170 million in sales?\nOptions:\n(A) 12%\n(B) 15%\n(C) 45%\n(D) 52%\n(E) 56%

[Assistant] (12/170)/(4/50) = 15/17 = 88% it means that 12/170 represents only 88%. Therefore a decrease of 12%. So the final answer is (A).


[User] Question: Let p be a prime number greater than 2 and let N = 14p. How many even numbers divide N?\nOptions:\n(A) 1\n(B) 2\n(C) 3\n(D) 4\n(E) 5 Let's think first. Some random reasoning:

[Assistant] Answer: A. There is exactly one. The prime factorization of 14 is 14 = 2*7, so N = 2*7*p = 7*2*p = 7*2p, so 2p is the only even number that divides N. The final answer: (A).


[User]
Student: The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m. was 20% greater than the number of people there from 11 a.m. to 12 p.m. The number of the people at the bar from 11 a.m. to 12 p.m. was 10% more than the number there from 10 a.m. to 11 a.m. If 242 people were at the bar from 11 a.m. to 1 p.m., which of the following is the number of people in the bar from 10 a.m. to 11 a.m.?\nOptions:\n(A) 100\n(B) 20\n(C) 30\n(D) 40\n(E) 50.
Another student: Let's say, hmmm...

[Assistant] No of people from 10 - 11 is x\nNo of people from 11 - 12 is 11x/10\nNo of people from 12 to 1 is (6/5)(11x/10)\nGiven that 11x/10 + (6/5)(11x/10) = 121x / 50 = 242\nThen x = 100 Final answer: (A).


[User] Use some thinking to answer the following question. A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?\nOptions:\n(A) 1:2\n(B) 1:5\n(C) 1:3\n(D) 1:1\n(E) 1:7

[Assistant] T = 192/32 = 6 h\nT = 6 - 3 = 3\nTime Ratio = 6:3 = 2:1\nSpeed Ratio = 1:2 So the final answer is (A).


[User] Q: In what time a sum of money double itself at 3% per annum simple interest?\nOptions:\n(A) 36 1/3%\n(B) 33 1/3%\n(C) 33 1/6%\n(D) 63 1/3%\n(E) 23 1/3% Let's give some random thoughts before answering.

[Assistant]
P = (P*3*R)/100\nR = 33 1/3%
Therefore, the answer is (B).


[User] Use some thinking to answer the following question. If x is a positive odd integer and y is a negative even integer, which of the following must be true?\nOptions:\n(A) x^3 + y is a positive odd integer\n(B) x^2 + y^2 is a negative odd integer\n(C) x^0 + y^11 is a negative odd integer\n(D) x + y is a positive odd integer\n(E) x + y is a negative odd integer

[Assistant] Anything power 0 is always 1 and given that Y is even and negative, then\n1 + (-2) will be negative with odd power values for Y. So the final answer is (C).


[User]
Some question: When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 3 times, what is the probability that it will land once on heads and twice tails?\nOptions:\n(A) 1/3\n(B) 1/6\n(C) 1/4\n(D) 1/8\n(E) 1/5
Some stream of consciousness:

[Assistant] Must be once on heads and twice on tails\n1/2*1/2*1/2 = 1/8 The answer: (D).


[User] Use some thinking to answer the following question. If it costs d dollars to make the first 100 copies of a poster and e dollars for each poster after that, what is the total cost of 125 posters?\nOptions:\n(A) 25d + 100e\n(B) 100d + 25e\n(C) 125de\n(D) d + 25e\n(E) 125/(de)

[Assistant] Dollars needed for first 100 copies = d\nDollars needed for each successive copy = e\nCost of 125 copies = cost of 100 copies + cost of 25 copies = d + 25e So the final answer is (D).


[User]
Some question: Calculate the largest 4 digit number which is exactly divisible by 98?\nOptions:\n(A) 9800\n(B) 9898\n(C) 9702\n(D) 9604\n(E) 9996
Some stream of consciousness:

[Assistant] Largest 4 digit number is 9999\nAfter doing 9999 ÷ 98 we get remainder 3\nHence largest 4 digit number exactly divisible by 98 = 9999 - 3 = 9996 The answer: (E).


[User] A 600 meter long train crosses a signal post in 20 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?\nOptions:\n(A) 4 min\n(B) 2 min\n(C) 8 min\n(D) 9 min\n(E) 5 min Stream of consciousness first, then make a decision:

[Assistant]
S = 600/20 = 1530 mps\nS = 3600/30 = 120 sec = 2 min
Thus, the answer is (B).


[User] John left home and drove at the rate of 45 mph for 2 hours. He stopped for lunch then drove for another 3 hours at the rate of 50 mph to reach his destination. How many miles did John drive?\nOptions:\n(A) 235 miles.\n(B) 245 miles.\n(C) 240 miles.\n(D) 265 miles.\n(E) 275 miles. Stream of consciousness:

[Assistant]
The total distance D traveled by John is given by\nD = 45 * 2 + 3 * 50 = 240 miles.
Thus, the answer is (C).


[User]
Some question: If 10 litres of an oil of Rs.54 per litres be mixed with 5 litres of another oil of Rs.66 per litre then what is the rate of mixed oil per litre?\nOptions:\n(A) Rs.49.17\n(B) Rs.58\n(C) Rs.54.17\n(D) Rs.55.33\n(E) None of the above
Some stream of consciousness:

[Assistant] 54*10 = 540\n66*5 = 330\n870/15 = 58 The answer: (B).


[User]
Some question: The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m. was 25% greater than the number of people there from 11 a.m. to 12 p.m. The number of the people at the bar from 11 a.m. to 12 p.m. was 25% less than the number there from 10 a.m. to 11 a.m. If 135 people were at the bar from 11 a.m. to 1 p.m., which of the following is the number of people in the bar from 10 a.m. to 11 a.m.?\nOptions:\n(A) 10\n(B) 20\n(C) 30\n(D) 40\n(E) 80
Some stream of consciousness:

[Assistant] No of people from 10 - 11 is x\nNo of people from 11 - 12 is 3x/4\nNo of people from 12 to 1 is (5/4)(3x/4)\nGiven that 3x/4 + (5/4)(3x/4) = 27x/16 = 135\nThen x = 80 The answer: (E).


[User] How many ways someone can make with 8 shirts and 6 pants?\nOptions:\n(A) 50\n(B) 45\n(C) 55\n(D) 52\n(E) 48 Now, let's think a bit. Some random thoughts:

[Assistant]
If you can only wear one shirt and one pair of pants, then you can make 8*6 = 48 combinations.
The final answer: (E).


[User] CMM, EOO, GQQ, _____, KUU\nOptions:\n(A) MSQ\n(B) IPS\n(C) IIS\n(D) ISS\n(E) POL Stream of consciousness:

[Assistant]
The first letters are in alphabetical order with a letter skipped in between each segment: C, E, G, I, K. The second and third letters are repeated; they are also in order with a skipped letter: M, O, Q, S, U.
Thus, the answer is (D).


[User] A can do a job in 18 days and B can do it in 30 days. A and B working together will finish twice the amount of work in ------- days?\nOptions:\n(A) 22 1/8 days\n(B) 22 1/2 days\n(C) 22 6/2 days\n(D) 72 1/2 days\n(E) 23 1/2 days Stream of consciousness:

[Assistant]
1/18 + 1/30 = 8/90 = 4/45\n45/4 = 11 1/4 *2 = 22 1/2 days
Thus, the answer is (B).


[User] A train running at the speed of 60 km/hr crosses a pole in 3 sec. What is the length of the train?\nOptions:\n(A) 85 m\n(B) 70 m\n(C) 115 m\n(D) 50 m\n(E) 150 m Think first, then make a decision. Some random thoughts:

[Assistant] Speed = 60 * 5/18 = 50/3 m/sec\nLength of the train = speed * time = 50/3 * 3 = 50 m So the answer is (D).


[User] In a jar there are 3 red gumballs and 2 blue gumballs. What is the probability of drawing at least one red gumball when drawing two consecutive balls randomly?\nOptions:\n(A) 2/5\n(B) 16/20\n(C) 9/10\n(D) 3/5\n(E) 1/3 Stream of consciousness:

[Assistant]
P(at least one red) = 1 - P(no red, so 2 blue) = 1- 2/5*1/4 = 9/10.
Thus, the answer is (C).


[User] A train running at the speed of 60 km/hr crosses a pole in 3 sec. What is the length of the train?\nOptions:\n(A) 56\n(B) 78\n(C) 27\n(D) 79\n(E) 50 OK. Let's think. Some random thoughts first:

[Assistant] Speed = 60 * 5/18 = 50/3 m/sec\nLength of the train = speed * time = 50/3 * 3 = 50 m The answer: (E).


[User] Use some thinking to answer the following question. An analyst will recommend a combination of 4 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 8 stocks are possible?\n--\nOptions:\n(A) 12\n(B) 19\n(C) 90\n(D) 180\n(E) 720

[Assistant] 5C4 * 4C2 * 3C2 = 5*6*3 = 90. So the final answer is (C).


[User]
Student: In order to obtain an income of Rs. 650 from 10% stock at Rs. 96, one must make an investment of:\nOptions:\n(A) Rs. 3100\n(B) Rs. 6240\n(C) Rs. 6500\n(D) Rs. 9600\n(E) Rs. 8600.
Another student: Let's say, hmmm...

[Assistant] To get Rs. 10, Investment is 96\nTo get Rs. 650, investment is (96/10)*650 = 6240 Final answer: (B).


[User] The speed of a boat in still water is 80kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?\nOptions:\n(A) 22 kmph\n(B) 40 kmph\n(C) 60 kmph\n(D) 15 kmph\n(E) 23 kmph Hmmm, my stream of consciousness:

[Assistant] Speed downstream = 80 + 20 = 100 kmph\nSpeed upstream = 80 - 20 = 60 kmph So, the answer is (C).


[User] Question: An design manager has 10patterns of chairs & 7patterns of tables. In how many ways can he make a pair of table & chair?\nOptions:\n(A) 70\n(B) 40\n(C) 80\n(D) 90\n(E) 100 Random thoughts:

[Assistant] He has has ten patterns of chairs and eight patterns of tables\nHence, A chair can be arranged in 10 ways and\nA table can be arranged in 7 ways\nHence one chair and one table can be arranged in 10 x 7 ways = 70 ways The final answer: (A).


[User] Give stream of consciousness and then the final answer. The flow of water through a drainage pipe was monitored for a 3-hour period. In the second hour, the rate of flow was 36 gallons per hour, which was 50 percent faster than the rate of flow for the first hour. If 25 percent more water flowed through the pipe in the third hour than it did in the second, how many gallons of water flowed through the pipe during the entire three hours?\nOptions:\n(A) 106.25\n(B) 105.5\n(C) 105.75\n(D) 106\n(E) 105.0

[Assistant]
Rate of flow of water in second hour = 36 gallons per hour\nRate of flow of water in first hour = 36/(3/2) = 24 gallons per hour\nRate of flow of water in third hour = (125/100)* 36 = (5/4) * 36 = 45 gallons per hour\nNumber of gallons of water that flowed through the pipe during the entire 3 hours = 24+36+45 = 105 gallons
The final answer: (E).


[User] Q: A women purchased 3 towels @ Rs.100 each, 5 towels @ Rs.150 each and two towels at a certain rate which is now slipped off from his memory. But she remembers that the average price of the towels was Rs.165. Find the unknown rate of two towels?\nOptions:\n(A) A) 400\n(B) B) 450\n(C) C) 500\n(D) D) 550\n(E) E) 600 Let's give some random thoughts before answering.

[Assistant]
10 * 150 = 1650\n3 * 100 + 5 * 150 = 1050\n1650 – 1050 = 600
Therefore, the answer is (E).


[User] Q: A carpenter is building a frame for a wall painting. The painting is in the shape of a rectangle. If the sides of the rectangle are in the ratio of 3:2 and the shorter side has a length of 22 inches, how many inches of framing material does the carpenter need to frame the painting?\nOptions:\n(A) 12\n(B) 22 1/2\n(C) 37 1/2\n(D) 50\n(E) 28 Let's give some random thoughts before answering.

[Assistant]
(22/2) ( 2+3) * 2 = 28 =
Therefore, the answer is (E).


[User] Question: Find the area of a parallelogram with base 24 cm and height 16 cm.\nOptions:\n(A) 384 cm^2\n(B) 200 cm^2\n(C) 250 cm^2\n(D) 350 cm^2\n(E) 400 cm^2 Random thoughts:

[Assistant] Area of a parallelogram = base * height = 24 * 16 = 384 cm2 The final answer: (A).


[User] If a man can cover 20 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?\nOptions:\n(A) 288\n(B) 162\n(C) 220\n(D) 270\n(E) 122 OK. Let's think. Some random thoughts first:

[Assistant] 20 m/s = 20 * 18/5 kmph\n3 hours 45 minutes = 3 3/4 hours = 15/4 hours\nDistance = speed * time = 20 * 18/5 * 15/4 km = 270 km. The answer: (D).


[User] Rs. 1300 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/8:1/3:1/4?\nOptions:\n(A) Rs.224\n(B) Rs.216\n(C) Rs.100\n(D) Rs.300\n(E) Rs.400 Think first, then make a decision. Some random thoughts:

[Assistant] 1/8:1/3:1/4 = 4:8:6\n3/18*1300 = 216 So the answer is (B).


[User] Find the C.I. on a sum of Rs.1600 for 9 months at 20% per annum, interest being compounded quarterly?\nOptions:\n(A) 3377\n(B) 2889\n(C) 2522\n(D) 2678\n(E) 7111 OK. Let's think. Some random thoughts first:

[Assistant] A = 1600(21/20)3 = 2522 The answer: (C).


[User]
Student: Steve gets on the elevator at the 11th floor of a building and rides up at a rate of 57 floors per minute. At the same time Joyce gets on an elevator on the 51st floor of the same building and rides down at a rate of 63 floors per minute. If they continue traveling at these rates, at which floor will their paths cross?\nOptions:\n(A) 19\n(B) 28\n(C) 30\n(D) 32\n(E) 44.
Another student: Let's say, hmmm...

[Assistant] Using Speed Formula: Speed = Distance / Time\nDistance to be covered = 51-11 = 40\nSpeed of approach = 57 + 63 floors/min\nTime = 40/120 = 1/3\nSo Steve will cover 57x 1/3 floors in that time = 19\nSo he will be in 19 + 11 floor = 30th Floor Final answer: (C).


[User] The length of a rectangle is increased by 25% and its breadth is decreased by 20%. What is the effect on its area?\nOptions:\n(A) 10000\n(B) 18999\n(C) 16990\n(D) 16007\n(E) 16991 Think first, then make a decision. Some random thoughts:

[Assistant] 100 * 100 = 10000\n125 * 80 = 10000 So the answer is (A).


[User] Use some thinking to answer the following question. A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 25 as remainder. Find the no. is?\nOptions:\n(A) 145646\n(B) 236578\n(C) 645353\n(D) 456546\n(E) 220025

[Assistant] (555 + 445) * 2 * 110 + 25 = 220000 + 25 = 220025 So the final answer is (E).


[User] Use some thinking to answer the following question. A man buys two articles for Rs.1980 each and he gains 10% on the first and loses 10% on the next. Find his total gain or loss percent?\nOptions:\n(A) 9\n(B) 8\n(C) 7\n(D) 6\n(E) 5

[Assistant] (30*30)/100 = 9%loss So the final answer is (A).


[User] Give a quick stream of consciousness before answering the following question. A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 70 as remainder. Find the no. is?\nOptions:\n(A) 145646\n(B) 236578\n(C) 645353\n(D) 456546\n(E) 220070

[Assistant]
(555 + 445) * 2 * 110 + 70 = 220000 + 70 = 220070
The answer: (E).


[User] Question: What is the greatest positive integer x such that 5^x is a factor of 125^10?\nOptions:\n(A) 5\n(B) 9\n(C) 10\n(D) 20\n(E) 30 Random thoughts:

[Assistant] 125^10 = (5^3)^10 = 5^30 The final answer: (E).


[User] 10 books are placed at random in a shelf. The probability that a pair of books will always be together is\nOptions:\n(A) 1/9\n(B) 1/7\n(C) 1/5\n(D) 1/1\n(E) 1/2 Hmmm, my stream of consciousness:

[Assistant] 10 books can be rearranged in 10! ways consider the two books taken as a pair then number of favourable ways of getting these two books together is 9! 2!\nRequired probability = 1/5 So, the answer is (C).