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The simple interest accrued on an amount of Rs.49500 at he end of three is Rs.17820. What would be the compound interest accured on the same amount at teh same rate in the same period? (Round off your answer to two decimal places)
[ "20043.94", "20043.948", "20043.93", "20043.92" ]
A
20043.94
Let the rate of interest be R% p.a. (49500)(3)(R)/100 = 17820 495R = 5940 R = 12 CI on Rs.49500 at 12% p.a. for three years = 49500{[1 + 12/100]3 - 1} = 69543.936 - 49500 = Rs.20043.94 when rounded off to two decimal places. Answer:A
aqua_rat
A department of eight people - four men and four women - needs to send a team of five to a conference. If they want to make sure that there are no more than three members of the team from any one gender, how many distinct groups are possible to send?
[ "36", "48", "60", "72" ]
B
48
They can make a team of 3 men and 2 women. The number of ways to do this is 4C3*4C2=4*6 = 24 They can make a team of 2 men and 3 women. The number of ways to do this is 4C2*4C3=6*4 = 24 The total number of distinct groups is 48. The answer is B.
aqua_rat
The vitamins and minerals contained in all of the food we consume are important for all of our organ systems. however, there are certain nutrients that affect this?
[ "bone health", "mental health", "chain health", "abnormal health" ]
A
bone health
Nutrition and Bone Tissue The vitamins and minerals contained in all of the food we consume are important for all of our organ systems. However, there are certain nutrients that affect bone health.
science
The total car population in a Mumbai is 2,94,00 out of which 1,50,00 are made by Honda. Out of every 100 Honda cars, 98 are red in color, but only 53% of the total car population is red. Find the % of non-Honda cars that are red
[ "4%", "4.65%", "6.125%", "7.24%" ]
C
6.125%
Total Car.29.10 i.e., Honda +non Honda = 29400 Given: Whim. tractor .150W Now,5346 of 2..00 = Honda +Red Non-Honda 29400 .:4 =15582 Thus...El Mall... 1.0 Now Honda 15582 flow, Non-. Honda =15582 - 15.582-14700=8B2 96 non-Honda =1=1.100 = 6.125% C
aqua_rat
Electricity causes less pollution than what?
[ "sound", "car propellant", "water", "sunlight" ]
B
car propellant
science
Ships are used to do what on oceans?
[ "dump air in", "take water from", "stability", "move people across" ]
D
move people across
Ships are used to move people across oceans
qasc
Find the principle on a certain sum of money at 5% per annum for 3 1/5 years if the amount being Rs.1160?
[ "Rs.1000", "Rs.1100", "Rs.1010", "Rs.10000" ]
A
Rs.1000
Explanation: 1160 = P [1 + (5*16/5)/100] P= 1000 Answer: Option A
aqua_rat
Two pipes A and B can separately fill a cistern in 60 minutes and 80 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 40 minutes. In how much time, the third pipe alone can empty the cistern?
[ "90 min", "100 min", "240 min", "120 min" ]
C
240 min
1/40-(1/60+1/80)=-1/240 third pipe can empty in 240 minutes ANSWER:C
aqua_rat
There is 60% increase in an amount in 6 years at simple interest. What will be the compound interest of $ 12,000 after 3 years at the same rate?
[ "2160", "3120", "3972", "6240" ]
C
3972
Let P = $ 100. Then, S.I. $. 60 and T = 6 years. R = 100 x 60 = 10% p.a. 100 x 6 Now, P = $ 12000. T = 3 years and R = 10% p.a. CI = 3972 ANSWER C
aqua_rat
Together, Andrea and Brian weigh p pounds; Brian weighs 8 pounds more than Andrea. Brian and Andrea's dog, Cubby, weighs p/4 pounds more than Andrea. In terms of p, what is Cubby's weight in pounds?
[ "p/2 - 10", "3p/4 - 4", "3p/2 - 5", "5p/4 - 10" ]
B
3p/4 - 4
Together, Andrea and Brian weigh p pounds --> A + B = p. Brian weighs 10 pounds more than Andrea --> B = A + 8 --> A + (A + 8) = p --> A = (p - 8)/2 = p/2 - 4. Brian and Andrea's dog, Cubby, weighs p/4 pounds more than Andrea --> C = A + p/4 = (p/2 - 4) + p/4 = 3p/4 -4. Answer: B.
aqua_rat
The C.I. on a certain sum for 2 years at 10% per annum is Rs. 525. The S.I. on the same sum for double the time at half the rate percent per annum is?
[ "2387", "500", "286", "298" ]
B
500
Let the sum be Rs. P. Then, [P(1 + 10/100)2 - p] = 525 P[(11/10)2 - 1] = 525 P = (525 * 100) / 21 = 2500 Sum = Rs. 2500 So, S.I. = (2500 * 5 * 4)/100 = Rs. 500 Answer: B
aqua_rat
Timothy leaves home for school, riding his bicycle at a rate of 9 miles per hour. Fifteen minutes after he leaves, his mother sees Timothy’s math homework lying on his bed and immediately leaves home to bring it to him. If his mother drives at 33 miles per hour, how far (in terms of miles) must she drive before she reaches Timothy? I think is a 700 level problem but I tag it as 600/700, let me know. Either way I hope in an explanationThanks
[ "1/3", "3", "27/8", "9" ]
C
27/8
In 15 mins, Timothy travels=9/4 miles. Now, let his mother takes x hours to reach him, traveling at 31mph. So, 33x=9x+9/4 x=3/32 hrs. Thus, the distance traveled by his mother to reach= 36*3/32=27/8 miles. Ans C
aqua_rat
In six successive games, a baseball team scored 3 runs once, 6 runs twice, and 7 runs three times. What was the average (arithmetic mean) number of runs the team scored per game over the six-game period?
[ "8", "7", "6", "5" ]
C
6
3 runs once (one game) 6 runs twice (two game) 7 runs three times (three games) SO we have (3*1 + 6*2 + 7*3)/6 = 36/6 = 6. ANS: C.
aqua_rat
Lake A has a duck population of 30 females and 30 males. Lake B’s duck population consists of the same ratio of females to males. If 6 new female ducks are added to Lake B and no other ducks are added or removed, the new total duck population of Lake B could be which of the following?
[ "144", "105", "78", "72" ]
D
72
Lake A has a duck population of 30 females and 36 males --> the ratio is F:M = 30:30 = 1:1. Lake B’s duck population consists of the same ratio of females to males --> F:M = 1:1. D
aqua_rat
what dies if it becomes too cold?
[ "plants", "starfish", "trout", "planets" ]
A
plants
if plants become too cold they will die
qasc
Find the value of 72517 x 9999 = m?
[ "456578972", "436567874", "653658791", "725097483" ]
D
725097483
72517 x 9999 = 72517 x (10000 - 1) = 72517 x 10000 - 72517 x 1 = 725170000 - 72517 = 725097483 D
aqua_rat
The name of a spinal cord region corresponds to the level at which spinal nerves pass through the what?
[ "synovial fluid", "notochord", "lumbar foramina", "intervertebral foramina" ]
D
intervertebral foramina
The Spinal Cord The description of the CNS is concentrated on the structures of the brain, but the spinal cord is another major organ of the system. Whereas the brain develops out of expansions of the neural tube into primary and then secondary vesicles, the spinal cord maintains the tube structure and is only specialized into certain regions. As the spinal cord continues to develop in the newborn, anatomical features mark its surface. The anterior midline is marked by the anterior median fissure, and the posterior midline is marked by the posterior median sulcus. Axons enter the posterior side through the dorsal (posterior) nerve root, which marks the posterolateral sulcus on either side. The axons emerging from the anterior side do so through the ventral (anterior) nerve root. Note that it is common to see the terms dorsal (dorsal = “back”) and ventral (ventral = “belly”) used interchangeably with posterior and anterior, particularly in reference to nerves and the structures of the spinal cord. You should learn to be comfortable with both. On the whole, the posterior regions are responsible for sensory functions and the anterior regions are associated with motor functions. This comes from the initial development of the spinal cord, which is divided into the basal plate and the alar plate. The basal plate is closest to the ventral midline of the neural tube, which will become the anterior face of the spinal cord and gives rise to motor neurons. The alar plate is on the dorsal side of the neural tube and gives rise to neurons that will receive sensory input from the periphery. The length of the spinal cord is divided into regions that correspond to the regions of the vertebral column. The name of a spinal cord region corresponds to the level at which spinal nerves pass through the intervertebral foramina. Immediately adjacent to the brain stem is the cervical region, followed by the thoracic, then the lumbar, and finally the sacral region. The spinal cord is not the full length of the vertebral column because the spinal cord does not grow significantly longer after the first or second year, but the skeleton continues to grow. The nerves that emerge from the spinal cord pass through the intervertebral formina at the respective levels. As the vertebral column grows, these nerves grow with it and result in a long bundle of nerves that resembles a horse’s tail and is named the cauda equina. The sacral spinal cord is at the level of the upper lumbar vertebral bones. The spinal nerves extend from their various levels to the proper level of the vertebral column.
science
Look at this series: 8, 43, 11, 41, __, 39, 17, ... What number should fill in the blank?
[ "8", "14", "43", "44" ]
B
14
Explanation: This is a simple alternating addition and subtraction series. The first series begins with 8 and adds 3; the second begins with 43 and subtracts 2. Answer: Option B
aqua_rat
Find the number of ways of arranging the letters of the word "MATERIAL" such that all the vowels in the word are to come together?
[ "1840 ways", "1440 ways", "1490 ways", "1447 ways" ]
B
1440 ways
In the word, "MATERIAL" there are three vowels A, I, E. If all the vowels are together, the arrangement is MTRL'AAEI'. Consider AAEI as one unit. The arrangement is as follows. M T R L A A E I The above 5 items can be arranged in 5! ways and AAEI can be arranged among themselves in 4!/2! ways. Number of required ways of arranging the above letters = 5! * 4!/2! = (120 * 24)/2 = 1440 ways. Answer: B
aqua_rat
What is the study of how and why plants and animals live where they do?
[ "heredity", "geomorphology", "biogeography", "lithography" ]
C
biogeography
Biogeography is the study of how and why plants and animals live where they do. It provides more evidence for evolution. Let’s consider the camel family as an example.
science
Burning what substances increases carbon in the atmosphere?
[ "CO2", "oil", "tar", "gas" ]
B
oil
burning oil increases carbon in the atmosphere
qasc
Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is
[ "4 : 5", "5 : 4", "3 : 2", "4 :7" ]
A
4 : 5
Let the third number be x. Then, first number = 120% of x = 120x = 6x 100 5 Second number = 150% of x = 150x = 3x 100 2 Ratio of first two numbers = 6x : 3x = 12x : 15x = 4 : 5. 5 2 A
aqua_rat
Three friends had dinner at a restaurant. When the bill was received, Akshitha paid 1/3 as much as Veena paid and Veena paid 1/2 as much as Lasya paid. What fraction of the bill did Veena pay ?
[ "3/19", "3/12", "3/11", "3/10" ]
D
3/10
Let Veena paid x, so Akshitha paid x/3 , and Lasya paid 2x, So total bill paid is given by x+(x/3) +2x = 1, we get i.e. x = 3/10 Answer: D
aqua_rat
During what time period did poor air quality become a problem?
[ "second world war", "industrial revolution", "coal industry boom", "Chernobyl disaster" ]
B
industrial revolution
Poor air quality started to become a serious problem after the Industrial Revolution. The machines in factories burned coal. This released a lot of pollutants into the air. After 1900, motor vehicles became common. Cars and trucks burn gasoline, which adds greatly to air pollution.
science
A fruit wholesale dealer has been paid $329,864 in his savings account. What is the least amount of money (in whole number of dollars) that he must add to his account if if he wants to be sure that all 9 of his salesmen have paid evenly?
[ "$1", "$2", "$3", "$4" ]
D
$4
To find the least amount the fruit wholesale dealer should add to his account to ensure all 9 of his salemen have paid evenly, he needs to make the total divisible by 9 Simply add the individual digits of the total = 3+2+9+8+6+4 = 32 If you add 4 , the number is divisible by 9 (32+ 4) Correct Option : D
aqua_rat
A shopkeeper sells one transistor for Rs. 840 at a gain of 20% and another for Rs. 960 at a loss of 4%. His total gain or loss percent is:
[ "100/17% loss", "100/17% gain", "20/3% loss", "None of these" ]
B
100/17% gain
Explanation : Let the cost price of 1st transistor be Rs. x and the cost price of 2nd transistor be Rs. y S.P. of 1st transistor at 20% profit = Rs. 840 => (x + 20% of x) = 840 => x*(120/100) = 840 => x = 700 S.P. of 2nd transistor at 4% loss = Rs. 960 => (y - 4% of y) = 960 => y*(96/100) = 960 => y = 1000 So, total C.P. = (x + y) = Rs. 1700 Total S.P. = 840 + 960 = 1800 Profit = (S.P. - C.P.) = (1800 - 1700) = Rs. 100 % Profit = (100/1700∗100)% = 100/17 % Answer : B
aqua_rat
Dhoni spent 40 percent of his earning last month on rent and 20 percent less than what he spent on rent to purchase a new dishwasher. What percent of last month's earning did Dhoni have left over?
[ "30%", "28%", "32%", "33%" ]
B
28%
Say Dhoni's earning last month was $100. Dhoni spent 40 percent of his earning last month on rent --> $40 on rent; 20 percent less than what he spent on rent to purchase a new dishwasher --> $40*0.8=$32 on the dishwasher. Left over amount 100 - (40 + 32) = $28 Answer: B
aqua_rat
A furniture manufacturer has two machines, but only one can be used at a time. Machine K is utilized during the first shift and Machine B during the second shift, while both work half of the third shift. If Machine K can do the job in 12 days working two shifts and Machine B can do the job in 15 days working two shifts, how many days will it take to do the job with the current work schedule?
[ "14", "13", "11", "9" ]
D
9
'Approximately' could actually make such a question ambiguous. Not this one though but a similar question with the answer as 9.2 days. You round off 8.89 days as 9 days and everything is fine in this question. What do you do when you get 9.2 days? Do you need 9 days or 10 days? Can you round off 9.2 as 9 even though that is what you do with numbers? No, because in 9 days your work is not over. You do need 10 days. To finish a work say Machine K you need to work full 9 days and a part of the 10th day. If I ask you how many days do you need to complete the work, will you say 9 or 10? You will say 10 even if you don't use the 10th day fully=D
aqua_rat
In basket A there are 2 apples and 3 oranges, in basket B there are 2 apples and 5 oranges. A basket is chosen at random, what is the probability of picking up an orange in basket B?
[ "2/5.", "5/12.", "3/10.", "5/14." ]
D
5/14.
Probability of picking up one basket out of two= 1/2 probability of picking 1 orange from basket B= 5/7 Hence the desired probability= 1/2*5/7= 5/14 D is the answer
aqua_rat
If the product of the integers a, b, c, and d is 1,155 and if a > b > c > d > 1, then what is the value of a – d?
[ "2", "8", "10", "11" ]
B
8
1155 = 3 * 5 * 7 * 11 a = 11 d = 3 a - d = 8 Answer is B
aqua_rat
A certain musical scale has has 13 notes, each having a different frequency, measured in cycles per second. In the scale, the notes are ordered by increasing frequency, and the highest freq is twice the lowest. For each of the 12 lower freq , the ratio of a frequency to the next higher freq is a fixed constant. If the lowest freq is 440 cycles per second, then the freq of the 7th note in the scale is how many cycles/second?
[ "440 * sqrt 2", "440 *2", "400 * sqrt 2", "320 * sqrt 3" ]
A
440 * sqrt 2
let the constant be k F1 = 440 F2 = 440k F3 = 440 k * k = 440 * k^2 F13= 440 * k^12 we know F13 = 2 *F1 = 2 * 440 = 880 880/440 = k^12 k = twelfth root of 2 for F7... F7 = 440 * k^6 ( as we wrote for F2 and F3) F7 = 440 * (twelfth root of 2) ^ 6 F7 = 440 * sqrt (2) Answer A
aqua_rat
A and B undertake to do a piece of work for Rs. 600. A alone can do it in 6 days while B alone can do it in 8 days. With the help of C, they finish it in 3 days. Find the share of A
[ "300", "450", "750", "800" ]
A
300
C's 1 day's work = 1/3-(1/6+1/8)=24 A : B : C = Ratio of their 1 day's work = 1/6:1/8:1/24= 4 : 3 : 1. A’s share = Rs. (600 *4/8) = Rs.300, B's share = Rs. (600 *3/8) = Rs. 225. C's share = Rs. [600 - (300 + 225») = Rs. 75. Answer is A
aqua_rat
A rock is boring, so a person wants to make it look different. A person could have it weathered by
[ "putting it in a bag", "putting it in a yard", "putting it in a dish", "putting it in a tumbler" ]
D
putting it in a tumbler
science
An example of irreversible denaturation of what substance occurs to the liquid albumin when an egg is fried?
[ "acids", "bacterial", "protein", "liquid" ]
C
protein
Denaturation and Protein Folding Each protein has its own unique sequence and shape that are held together by chemical interactions. If the protein is subject to changes in temperature, pH, or exposure to chemicals, the protein structure may change, losing its shape without losing its primary sequence in what is known as denaturation. Denaturation is often reversible because the primary structure of the polypeptide is conserved in the process if the denaturing agent is removed, allowing the protein to resume its function. Sometimes denaturation is irreversible, leading to loss of function. One example of irreversible protein denaturation is when an egg is fried. The albumin protein in the liquid egg white is denatured when placed in a hot pan. Not all proteins are denatured at high temperatures; for instance, bacteria that survive in hot springs have proteins that function at temperatures close to boiling. The stomach is also very acidic, has a low pH, and denatures proteins as part of the digestion process; however, the digestive enzymes of the stomach retain their activity under these conditions. Protein folding is critical to its function. It was originally thought that the proteins themselves were responsible for the folding process. Only recently was it found that often they receive assistance in the folding process from protein helpers known as chaperones (or chaperonins) that associate with the target protein during the folding process. They act by preventing aggregation of polypeptides that make up the complete protein structure, and they disassociate from the protein once the target protein is folded.
science
. Star question: If f(1)=4 and f(x+y)=f(x)+f(y)+7xy+4,then f(2)+f(5)=?
[ "125", "977", "289", "1077" ]
A
125
Let x =1 and y = 1 f(1 + 1) = f(1) + f(1) + 7 x 1 x 1 + 4 ⇒⇒ f(2) = 19 Let x =2 and y = 2 f(2 + 2) = 19 + 19 + 7 x 2 x 2 + 4 ⇒⇒ f(4) = 70 Let x = 1 and y = 4 f( 1 + 4) = 4 + 70 + 28 + 4 = 106 f(2) + f(5) = 125 Answer:A
aqua_rat
Simplify: 8888 + 888 + 88 + 8
[ "9872", "9782", "9827", "9287" ]
A
9872
8888 888 88 8 ------- 9872 Answer is A.
aqua_rat
When a Bike is sold for Rs. 63,000, the owner loses 10%. At what price must that Bike be sold in order to gain 10%?
[ "74000", "75000", "76000", "77000" ]
D
77000
90 : 63000 = 110 : x x = (63000 x 110)/90 = 77,000. Hence, S.P. = Rs. 77,000. Answer: Option D
aqua_rat
A bar over a sequence of digits in a decimal indicates that the sequence repeats indefinitely. What is the value of (10^4 -10^2)(0.0017)?
[ "14.83", "17.83", "18.83", "16.83" ]
D
16.83
You get 10^2 (100-1) (.0017) we know 17/10000 = .0017 10^2 (99) * (17/10000) 10^2 = 100 and 100^2 = 10000 Cancel out the 100 with the 10^2 Left with 99(17/100). 0.99*17 = 16.83 Answer : D
aqua_rat
A football coach must choose 3 freshers from a team of 12players. How many different ways can the coach choose the freshers?
[ "220", "650", "729", "800" ]
A
220
Choose 3 starters from a team of 12 players. Order is not important. \inline {\color{Black} 12C_{3}}= 220 A
aqua_rat
A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
[ "227m", "228m", "350m", "167m" ]
C
350m
Speed = [300 / 18] m/sec = 50/3 m/sec. Let the length of the platform be x meters. Then, x + 300 / 39 = 50/3 3(x + 300) = 1950 è x = 350m. Answer: C
aqua_rat
If the price of gold increases by 50%, find by how much the quantity of ornaments must be reduced, so that the expenditure may remain the same as before?
[ "30", "33 1/3", "35", "25" ]
B
33 1/3
100---150 150----50 100-----? ==>33 1/3 ANSWER B
aqua_rat
Joseph bought two varieties of rice, costing 5 cents per ounce and 6 cents per ounce each, and mixed them in some ratio. Then he sold the mixture at 7 cents per ounce,making a profit of 20 percent. What was the ratio of the mixture?
[ "1:10", "1:5", "2:7", "3:8" ]
B
1:5
Let x ounce of ist be mixed with y ounce of 2nd thus total CP = 5x+6y Sly SP = 7x+7y Now profit % = 20, its very easy to solve profit n loss problems using Fraction rule. SP = CP * 120/100 ( since profit so SP >CP n hence multiplied by 120/100 which is > 1 thus 7x+ 7y= (5x+6y) * 120/100 or, x:y = 1:5 ANSWER:B
aqua_rat
Parasites usually harm their hosts (or they wouldn't be parasites), but what do they usually stop short of doing?
[ "killing their host", "benefiting their hosts", "mutating their hosts", "reproducing with hosts" ]
A
killing their host
Some parasites kill their host, but most do not. It’s easy to see why. If a parasite kills its host, the parasite may also die. Instead, parasites usually cause relatively minor damage to their host.
science
Two persons start running simultaneously around a circular track of length 200 m from the same point at speeds of 6 km/hr and 12 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
[ "28 sec", "37 sec", "17 sec", "60 sec" ]
D
60 sec
Time taken to meet for the first time anywhere on the track = length of the track / relative speed = 200 / (6+ 12)5/18 = 300* 18 / 18 * 5 = 60 seconds. Answer : D
aqua_rat
A hat company ships its hats, individually wrapped, in 8-inch by 10-inch by 12-inch boxes. Each hat is valued at $7.00. If the company’s latest order required a truck with at least 288,000 cubic inches of storage space in which to ship the hats in their boxes, what was the minimum value of the order?
[ "$960", "$1,350", "$1,725", "$2,100" ]
D
$2,100
Total Volume is 288000 Given LBH = 8*10*12. the number of hats inside it = 288000/10 * 8 * 12 = 300. price of each hat is 7.5 $ then total value is 300 * 7.0 = 2100. IMO option D is correct answer..
aqua_rat
0,1,2.9,5.61,9.05,?
[ "11.15", "12.15", "13.15", "14.15" ]
C
13.15
The series is 0, 1, 2.9, 5.61, 9.05, ... Fisrt oder differences are 1, 1.9, 2.71, 3.44, ... Second order differences are 0.9, 0.81, 0.73, ... Note that the second order differences are powers of 0.9 (0.9, 0.81, 0.729, ...), rounded off to two decimal digits. So next term in second order difference is 0.9^4 = 0.6561 = 0.66. Then, the next term in first order difference is 3.44+0.66 = 4.1. So, the term in the series is 9.05+4.1 = 13.15 ANSWER:C
aqua_rat
852.68 − 4.5 + 288.98 = ? − 2132.54
[ "6078.58", "5225.9", "6258.58", "6088.58" ]
C
6258.58
Option 'C'
aqua_rat
Earth rotates on its axis once each day and revolves around the sun how often?
[ "once each year", "ever 3 years", "once each month", "every other year" ]
A
once each year
Earth rotates on its axis once each day and revolves around the Sun once every year.
science
In a card game, a combination of two queen beats all others. If Jose is the first to draw from a standard deck of 52 cards, what is the probability that he wins the game with the best possible combination?
[ "13/221", "1/221", "2/52 D", "3/51" ]
B
1/221
he best possible combination is the case when he wins in his first two draws There are 52 cards in a deck of cards with 4 queens in it. Probability of first card to be queen = 4/52 Probability of Second card to be queen = 3/51 Probability of Best possible case = (4/52)*(3/51) = 1/221 B
aqua_rat
A single discount equivalent to the discount series of 20%, 20% and 5% is?
[ "31.9", "39.2", "31.6", "31.5" ]
B
39.2
100*(80/100)*(20/100)*(95/100) = 60.8 100 - 60.8 = 39.2 Answer:B
aqua_rat
What is the name of an element with a different number of neutrons?
[ "mineral", "isotope", "reaction", "solution" ]
B
isotope
All atoms of the same element have the same number of protons, but some may have different numbers of neutrons. For example, all carbon atoms have six protons, and most have six neutrons as well. But some carbon atoms have seven or eight neutrons instead of the usual six. Atoms of the same element that differ in their numbers of neutrons are called isotopes . Many isotopes occur naturally. Usually one or two isotopes of an element are the most stable and common. Different isotopes of an element generally have the same physical and chemical properties. That’s because they have the same numbers of protons and electrons. For a video explanation of isotopes, go to this URL:.
science
Positive integer y is 50 percent of 50 percent of positive integer x, and y percent of x equals 25. What is the value of x?
[ "25", "50", "75", "100" ]
D
100
y = 0.5*0.5*x = x/4 y%*x = 25 (y/100)*x = 25 (x/400)*x = 25 x^2 = 25*400 x = 100 The answer is D.
aqua_rat
There are 7 periods in each working day of a school. In how many ways can one organize 4 subjects such that each subject is allowed at least one period?
[ "15345", "15120", "15609", "15680" ]
B
15120
6 subjects can be arranged in 7 periods in 7P6 ways. Remaining 1 period can be arranged in 6P1 ways. Two subjects are alike in each of the arrangement. So we need to divide by 2! to avoid overcounting. Total number of arrangements = (7P6 x 6P1)/2! = 15120 ANSWER:B
aqua_rat
Reduce 368/575 to the lowest terms.
[ "30/25", "28/29", "27/29", "16/25" ]
D
16/25
Explanation: We can do it easily by in two steps Step1: We get the HCF of 368 and 575 which is 23 Step2: Divide both by 23, we will get the answer 16/25 Option D
aqua_rat
If I want to avoid too much ultraviolet rays I can
[ "wear a bikini", "wear shorts", "wear nothing", "wear thick socks" ]
D
wear thick socks
science
Mary’s annual income is $15,000 and John’s annual income is $18,000. By how much must Mary’s annual income increase so that it constitutes 50% of Mary and John’s combined income?
[ "$3,000", "$4,000", "$7,000", "$11,000" ]
A
$3,000
Let Mary's income increase by x, then the equation will be 15,000 + x= (50 /100)* (15,000 + x + 18000 ) 15,000 + x = (1/2) * (33,000 + x) 30,000 + 2x = x+ 33,000 x =3,000 So, Answer will be A
aqua_rat
if a bad wiring affected a living room floor, which of these would be safest to climb?
[ "the mahogany desk", "the metal chair", "the steel lamp", "the ceramic floor" ]
A
the mahogany desk
science
What comes first in the life cycle of a plant?
[ "garden", "seed", "pair", "flower" ]
B
seed
science
The average of four positive integers is 69. The highest integer is 93 and the least integer is 39. The difference between the remaining two integers is 28. Which of the following integers is the higher of the remaining two integers?
[ "32", "86", "44", "22" ]
B
86
Let the four integers be A, B, C and D where A > B > C > D. (A + B + C + D)/4 = 69 => A + B + C + D = 276 ---> (1) A = 93, D = 39 and B - C = 28 (1) => B + C = 276 - (A + D) = 276 - 132 = 144. B + B -28 = 144 B = (144 + 28)/2 = 86 Answer:Option B
aqua_rat
A glass was filled with 10 ounces of water, and 0.06 ounce of the water evaporated each day during a 20-day period. What percent of the original amount of water evaporated during this period?
[ "0.002%", "0.02%", "0.2%", "12%" ]
D
12%
We are given that 0.06 ounces of water evaporated EACH DAY. Furthermore, we know that this process happened over a 20-DAY PERIOD. To calculate the total amount of water that evaporated during this time frame we need to multiply 0.06 by 20. This gives us: 0.06 x 20 = 1.2 ounces Finally, we are asked for “What percent” of the original amount of water evaporated during this period. To determine this percentage, we have to make sure we translate the expression correctly. We can translate it to: (Amount Evaporated/Original Amount) x 100% (1.2/10) x 100% (12/100) x 100% = 12% Answer D
aqua_rat
If the digits of a two-digit number are interchanged, the number so obtained is greater than the original number by 18. If the sum of the two digits of the number is 14. What is the original number ?
[ "68", "77", "95", "86" ]
A
68
Explanation : Let the no. be 10x + y. No. formed by the interchange of digits = 10y + x We have y - x = 2 .....(i) y + x = 14 .....(ii) Solving (i) and (ii), we get x = 6, and y = 8 ∴ the no. is 68. Answer : Option A
aqua_rat
What's the most common disorder from having an extra chromosome?
[ "down syndrome", "Williams syndrome", "cri-du-chat syndrome", "Turner syndrome" ]
A
down syndrome
One common example of an extra-chromosome disorder is Down syndrome ( Figure below ). Children with Down syndrome are mentally disabled and also have physical deformities. Down syndrome occurs when a baby receives an extra chromosome 21 from one of his or her parents. Usually, a child will receive one chromosome 21 from the mother and one chromosome 21 from the father. In an individual with Down syndrome, however, there are three copies of chromosome 21 ( Figure below ). Therefore, Down syndrome is also known as Trisomy 21. These people have 47 total chromosomes.
science
In a 800 m race around a stadium having the circumference of 200 m, the top runner meets the last runner on the 5th minute of the race. If the top runner runs at twice the speed of the last runner, what is the time taken by the top runner to finish the race ?
[ "20 min", "15 min", "10 min", "5 min" ]
C
10 min
After 5 minutes (before meeting), the top runner covers 2 rounds i.e., 400 m and the last runner covers 1 round i.e., 200 m. ∴ Top runner covers 800 m race in 10 minutes. Answer C
aqua_rat
A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions mad by the larger wheel is:
[ "4", "9", "12", "21" ]
B
9
More cogs less revolution,.. so 6:14::x:21 (21*6)/14=9 ANSWER:B
aqua_rat
What kind of surface temperature is found on venus?
[ "extremely high", "cold", "cool", "a little hot" ]
A
extremely high
Venus is the second planet from the Sun and the closest planet to Earth, in distance and in size. Venus has a very thick, corrosive atmosphere, and the surface temperature is extremely high.
science
A sum was put at SI at certain rate for 2 years.Had it been put at 3% higher rate, it would have fetched Rs.300 more.Find the Sum
[ "RS 4000", "RS 5000", "RS 6000", "RS 7000" ]
B
RS 5000
let P be the sum.and X be the interest rate. (2*(X+3)*P/100) - (2*X*P/100)=300 THEREFORE 6P/100=300 P=RS 5000 ANSWER:B
aqua_rat
I need electrical energy to
[ "Go running", "cook some bread", "Ride a bike", "Go swimming" ]
B
cook some bread
science
Double of Quarter of 1 percent written as a decimal is :
[ "0.003", "0.0005", "0.25", "0.005" ]
D
0.005
Explanation : Solution: (2)*(1/4)*1% = 2*(1/4 * 1/100) = 1/400 = 2*0.0025 = 0.005. Answer : D
aqua_rat
A dress on sale in a shop is marked at $X. During the discount sale its price is reduced by 15%. Staff are allowed afurther 10% reduction on thedis counted price. If a staff member buys thedress what will she have to pay in terms of X?
[ "0.560X", "0.560X", "0.765X", "0.608X" ]
C
0.765X
If the price is reduced by 15 %, then the new price will be 0.85D If this new price is further reduced by 10%, the discounted price will be 0.9 x 0.85X = 0.765X C
aqua_rat
The area of the square formed on the diagonal of a rectangle as its side is 108 1/3 % more than the area of the rectangle. If the perimeter of the rectangle is 28 units, find the difference between the sides of the rectangle?
[ "8m", "7m", "5m", "2m" ]
D
2m
Let the sides of the rectangle be l and b respectively. From the given data, (√l2 + b2) = (1 + 108 1/3 %)lb => l2 + b2 = (1 + 325/3 * 1/100)lb = (1 + 13/12)lb = 25/12 lb => (l2 + b2)/lb = 25/12 12(l2 + b2) = 25lb Adding 24lb on both sides 12l2 + 12b2 + 24lb = 49lb 12(l2 + b2 + 2lb) = 49lb but 2(l + b) = 28 => l + b = 14 12(l + b)2 = 49lb => 12(14)2 = 49lb => lb = 48 Since l + b = 14, l = 8 and b = 6 l - b = 8 - 6 =2m. Answer:D
aqua_rat
A cistern is filled by pipe A in 16 hours and the full cistern can be leaked out by an exhaust pipe B in 20 hours. If both the pipes are opened, in what time the cistern is full?
[ "50hrs", "60hrs", "70hrs", "80hrs" ]
D
80hrs
time taken to full the cistern=(1/16-1/20)hrs =1/80 =80hrs ANSWER:D
aqua_rat
2 pipes can separately fill a tank in 20hrs and 30hrs respectively. Both the pipes are opened to fillthe tank, a leak develops in the tank through which one-third of water supplied by both the pipes goes out. What is the total time taken to fill the tank?
[ "10 hrs", "12 hrs", "16 hrs", "18 hrs" ]
C
16 hrs
1/20 + 1/30 = 1/12 1 + 1/3 = 4/3 1 --- 12 4/3 --- ? 4/3 * 12 = 16 hrs C
aqua_rat
An empty wooden vessel weighs 20% of its total weight when filled with paint. If the weight of a partially filled vessel is one half that of a completely filled vessel, what fraction of the vessel is filled.
[ "3/5", "5/9", "9/19", "4/9" ]
C
9/19
An empty wooden vessel weighs 20% of its total weight when filled with paint: Vessel = 0.2(Vessel + Paint); 20V = V + P (so the weight of completely filled vessel is 10V) P = 19V (so the weight of the paint when the vessels is completely filled is 9V). The weight of a partially filled vessel is one half that of a completely filled vessel: V + P' = 1/2*20V; P' = 9V (so the weight of the paint when the vessels is partially filled is 9V). What fraction of the vessel is filled? So, we need to find the ratio of the weight of the paint when the vessel iscompletely filledto the weight of the paint when the vessel ispartially filled: P'/P = 9V/19V = 9/19. Answer: C.
aqua_rat
A fruit drink is made of orange, watermelon, and grape juice, where 15 percent of the drink is orange juice and 60 percent is watermelon juice. If the drink is made with 35 ounces of grape juice, how many ounces is the drink total?
[ "120", "140", "160", "180" ]
B
140
Let the total number of ounces in the drink be x. % of orange = 15% % of watermelon = 60% % of grape = 100% - 75% = 25% 0.25x = 35 x = 140 Therefore there are a total of 140 ounces in the drink. The answer is B.
aqua_rat
The forth proportional to 24,8,15 is?
[ "5", "12", "18", "20" ]
A
5
Let the fourth proportional to 24,8,15 be x then 24:8::15:x 24x = 8*15 x = 5 Answer is A
aqua_rat
What causes gravity on the Earth?
[ "the Sun", "friction", "heat", "Movement" ]
A
the Sun
the mass of the sun causes its gravity on Earth
qasc
In a mixture of 45 litres the ratio of milk to water is 4:1. Additional 12 litres of water is added to the mixture. Find the ratio of milk to water in the resulting mixture.
[ "12/7", "4/1", "2/3", "3/4" ]
A
12/7
Given that Milk/Water=4x/x and 4x+x=45 --> x=9. Thus Milk=4x=36 liters and Water=x=9 liters. New ratio = 36/(9+12) = 36/21 = 12/7. Answer: A.
aqua_rat
at a time A,do 20% less work than B.if A do any work in 15/2 hour,then in how many hour B will finish work?
[ "5 hour", "11/2 hour", "6 hour", "13/2 hour" ]
C
6 hour
let B will finish a work in x hour.then,in x hour A,80/100=4/5 work do ratio of work done by A and B=inverse ratio of time taken 4/5:1=2/15:1/x 4/5*1/x=1*2/15=4/5x=2/15;x=6. time= 6 hour answer C
aqua_rat
How many different three-digit integers can be composed of digits 1, 2, and 3 ?
[ "27", "54", "64", "72" ]
A
27
The possible number of variant =3*3*3=27 Option A
aqua_rat
A cube of side 1.5 meter length is cut into small cubes of side 10 cm each. How many such small cubes can be obtained?
[ "2878", "3375", "1000", "2997" ]
B
3375
Along one edge, the number of small cubes that can be cut = 150/10 = 15 Along each edge 10 cubes can be cut. (Along length, breadth and height). Total number of small cubes that can be cut = 15 * 15 * 15= 3375 Answer: B
aqua_rat
How many liters of oil at Rs.40 per liter should be mixed with 240 liters of a second variety of oil at Rs.60 per liter so as to get a mixture whose cost is Rs.52 per liter?
[ "120", "150", "160", "180" ]
C
160
8:12 = 2:3 If 240 lrs of the 2nd variety taken then the 1st variety should be taken as 160 lr ANSWER C
aqua_rat
If a, b, c, d, e and f are integers and (ab + cdef) < 0, then what is the maximum number E of integers that can be negative?
[ "2", "3", "4", "5" ]
D
5
Minimuum should be 1 Maximum should be 4: 1 out of a or b to make the multiplication negative 3 out of c, d, e or f to make the multiplication negative. Negative+Negative<0 Answer:C maximum will be 5.. you dont require both the multiplicatin to be negative for entire equation to be negative... any one a or b can be negative to make ab negative and it can still be more(away from 0) than the multiplication of 4 other -ve numbers... actually by writing minimum required as 1 out of 6,you are actually meaning 5 out of 6 also possible as you will see E=5 or 1 will give you same equation.. ans D
aqua_rat
Sliding off concrete and onto gravel produces higher levels of
[ "shine", "value", "longevity", "chafing" ]
D
chafing
science
What forms when a glacier scrapes a large hole in the ground?
[ "melting lake", "frozen lake", "drift lake", "glacial lake" ]
D
glacial lake
The depression that allows water to collect to form a lake may come about in a variety of ways. The Great Lakes, for example, are glacial lakes. A glacial lake forms when a glacier scrapes a large hole in the ground. When the glacier melts, the water fills the hole and forms a lake. Over time, water enters the lake from the sources mentioned above as well.
science
What is the average of 120, 130, 140, 510, 520, 530, 1115, 1120, and 1125?
[ "419", "551", "601", "590" ]
D
590
Add 120, 130, 140, 510, 520, 530, 1115, 1120, and 1125 Grouping numbers together may quicken the addition sum =5310 5310/9 =590 .D
aqua_rat
What is the total number of positive integers that are less than 500 and that have no positive factor in common with 500 other than 1?
[ "50", "100", "200", "300" ]
C
200
Since 500=2^2*5^3 then a number can not have 2 and/or 5 as a factor. The odd numbers do not have 2 as a factor and there are 250 odd numbers from 1 to 500. We then need to eliminate the 50 numbers that end with 5, that is 5, 15, 25,...,495. There are a total of 250 - 50 = 200 such numbers between 1 and 500. The answer is C.
aqua_rat
Scrubbing a toilet is
[ "predestined", "innate", "genetic", "learned" ]
D
learned
science
Paddles and hammers are examples of simple machines that increase the distance over which force is applied, while reducing what?
[ "momentum", "gravity", "strength", "intensity" ]
C
strength
Examples of machines that increase the distance over which force is applied are paddles and hammers. Figure below explains how these machines work. In each case, the machine increases the distance over which the force is applied, but it reduces the strength of the applied force.
science
Marshmallows plus ____ technically make a different substance.
[ "steak", "cookies", "chocolate", "fire" ]
D
fire
science
Jane covered a distance of 360 miles between city A and city B taking a total of 5 hours. If part of the distance was covered at 60 miles per hour speed and the balance at 80 miles per hour speed, how many hours did she travel at 60 miles per hour?
[ "2 hours 30 minutes", "4 hours", "2 hours", "1 hour 45 minutes" ]
B
4 hours
Answer Let Jane travel 'x' at 60 miles per hour. As the total time taken to cover 340 miles is 5 hours, Jane would have traveled (5 - x) hours at 80 miles per hour. Distance covered at 60 miles per hour = Speed * time = 60 * x = 60x miles. Distance covered at 80 miles per hour = Speed * time = 80 (5 - x) = 400 - 80x miles. Total distance covered = Distance covered at 60 miles per hour + Distance covered at 80 miles per hour. Therefore, total distance = 60x + 400 - 80x. Total distance travelled = 340 miles. Therefore, 360 = 60x + 400 - 80x 20x = 80 or x = 4 hours. Choice B
aqua_rat
If t>0.9, which of the following options can be the value of t?
[ "0.9^2", "√(0.9)", "0.09", "0.9" ]
B
√(0.9)
Lets take a few examples When .2 is squared it gives .04 when .5 is squared it gives .25 When .9 is squared it gives .81 So raising a fraction to its power of 2 or 3 only reduces the value of the fraction This is because .2 = 2/10 .2^2= 4/100 .2^3=8/1000 Since the denominator gets an extra 0 each time u increase the power , it is going to drag the value down But if you just think about the opposite case : Then we can see , if squaring a fraction diminish its value, then taking the square root of it will again increase its value that is √(0.04) will give you back 0.2 so √(0.04) > 0.04 so obviously diminishing the power will appreciate the value So t √(0.9) > 0.9 Hence Correct Answer is (B)
aqua_rat
A man buys a watch for Rs.1950 in cash and sells it for Rs. 2200 at a credit of 1 year.If the rate of interest is 10% per annum,the man :
[ "gains Rs. 55", "gains Rs. 50", "loses Rs. 30", "gains Rs. 30" ]
B
gains Rs. 50
Solution S.P. = P.W. of Rs. 2200 due 1 year hence = Rs. [ 2200x100/100 + (10x 1) ]= Rs. 2000. ∴ Gain = Rs. (2000 - 1950) = Rs. 50. Answer B
aqua_rat
a flood is occurring there was most likely
[ "light hail", "clear skies", "some leaves", "great drops repeating" ]
D
great drops repeating
science
What percent of 7.2 kg is 18 gms ?
[ "25", "66", "288", "19" ]
A
25
Explanation: Required percentage = (18/7200 * 100)% = 1/4% = 0.25% Answer: A) .25%
aqua_rat
Freezing point is best represented by
[ "water falls", "flowing rivers", "glass of water", "static ice sculpture" ]
D
static ice sculpture
science
In one hour,a boat goes 8 km along the stream and 2 km against the stream.The speed of the boat in still water (in km/hr) is :
[ "3", "5", "8", "9" ]
B
5
Solution Speed in still water =1/2(8+2)kmph.= 5 kmph. Answer B
aqua_rat
Which is the middle even number between 1 and 9?
[ "10", "25", "5", "8" ]
C
5
1+x = 9-x 2 x = 8 X = 4 Now 1+x = 5 ANSWER:C
aqua_rat
In how many different ways can the letters of the word 'BANANA' be arranged?
[ "10 ways", "120 ways", "30 ways", "60 ways" ]
B
120 ways
Totally there are 6 letters on the word BANANA. it contains 1B,3A,2N. The no of ways is 6!/3!2!=120 ways. ANSWER:B
aqua_rat
What organ absorbs about 90 percent of the water you ingest?
[ "small intestine", "skin", "lungs", "large intestine" ]
A
small intestine
Absorption, Feces Formation, and Defecation The small intestine absorbs about 90 percent of the water you ingest (either as liquid or within solid food). The large intestine absorbs most of the remaining water, a process that converts the liquid chyme residue into semisolid feces (“stool”). Feces is composed of undigested food residues, unabsorbed digested substances, millions of bacteria, old epithelial cells from the GI mucosa, inorganic salts, and enough water to let it pass smoothly out of the body. Of every 500 mL (17 ounces) of food residue that enters the cecum each day, about 150 mL (5 ounces) become feces. Feces are eliminated through contractions of the rectal muscles. You help this process by a voluntary procedure called Valsalva’s maneuver, in which you increase intra-abdominal pressure by contracting your diaphragm and abdominal wall muscles, and closing your glottis. The process of defecation begins when mass movements force feces from the colon into the rectum, stretching the rectal wall and provoking the defecation reflex, which eliminates feces from the rectum. This parasympathetic reflex is mediated by the spinal cord. It contracts the sigmoid colon and rectum, relaxes the internal anal sphincter, and initially contracts the external anal sphincter. The presence of feces in the anal canal sends a signal to the brain, which gives you the choice of voluntarily opening the external anal sphincter (defecating) or keeping it temporarily closed. If you decide to delay defecation, it takes a few seconds for the reflex contractions to stop and the rectal walls to relax. The next mass movement will trigger additional defecation reflexes until you defecate. If defecation is delayed for an extended time, additional water is absorbed, making the feces firmer and potentially leading to constipation. On the other hand, if the waste matter moves too quickly through the intestines, not enough water is absorbed, and diarrhea can result. This can be caused by the ingestion of foodborne pathogens. In general, diet, health, and stress determine the frequency of bowel movements. The number of bowel movements varies greatly between individuals, ranging from two or three per day to three or four per week.
science
To create paint with a certain shade of gray, one must combine 2.75 liters of black paint with every one liter of white paint. Approximately how many liters of white paint must be combined with 350 liters of black paint to create the certain shade of gray?
[ "127.2", "129.4", "347.1", "694.4" ]
A
127.2
Since the ratio of Black to White is 2.75 to 1 this implies that Amount of Black is going to be more than (approximately double) the amount of White. This implies Option C, D and E can not be correct. Now between A and B: Black:White = 2.75:1 Since the ratio is more than double, the amount of White Paint should be less than half of Black Paint. B is more than half so can not be the answer, A fits the criteria hence should be the correct answer. No calculation needed whatsoever.
aqua_rat