question stringlengths 5 13.5k | choices listlengths 0 5 | answer_index int64 -1 4 | answer_text stringlengths 1 3.61k | source stringclasses 3
values | explanation stringlengths 0 4.92k |
|---|---|---|---|---|---|
A dealer purchased an article at 3 / 4 of its list price and sold 50 % more than the list price . Find his gain percent ? | [
"180 %",
"190 %",
"100 %",
"170 %",
"900 %"
] | 2 | 100 % | aqua_rat | MP = 100
CP = 75
SP = 150
- - - - - -
75 - - - - 75
100 - - - - ? = > 100 %
Answer : C |
A group of 5 fishermen chartered a boat for a day to fish for flounder . The boat costs x dollars per day to rent . If the group can find 3 more fishermen on the docks who are willing to come aboard and share the rental costs , how much less will the rental cost be per person in terms of x ? | [
"x / 70",
"x / 35",
"3 x / 40",
"3 x / 10",
"3 x / 7"
] | 2 | 3 x / 40 | aqua_rat | cost of boat per day = x
cost per person = x / 5
if three more persons afre there , cost = x / 8
difference = x / 5 - x / 8
= 3 x / 40
Ans C |
One pipe can fill a tank three times as fast as another pipe . If together the two pipes can fill the tank in 38 minutes , then the slower pipe alone will be able to fill the tank in | [
"144 mins",
"140 mins",
"136 mins",
"152 minw",
"None of these"
] | 3 | 152 minw | aqua_rat | Explanation :
Let the slower pipe alone fill the tank in x minutes
then faster will fill in x / 3 minutes .
Part filled by slower pipe in 1 minute = 1 / x
Part filled by faster pipe in 1 minute = 3 / x
Part filled by both in 1 minute =
1 / x + 3 / x = 1 / 38
= > 4 / x = 1 / 38
x = 38 ∗ 4 = 152 mins
Option D |
A walks at 10 kmph and 3 hours after his start , B cycles after him at 20 kmph . How far from the start does B catch up with A ? | [
"100 km",
"150 km",
"60 km",
"120 km",
"200 km"
] | 2 | 60 km | aqua_rat | Suppose after x km from the start B catches up with A . Then , the difference in the time taken by A to cover x km and that taken by B to cover x km is 3 hours .
x / 10 - x / 20 = 3
x = 60 km
Answer is C |
If x is an integer and ( x ) ( x ^ 4 ) ( x ^ 3 ) is positive , which of the following could be negative ? | [
"x ^ 4",
"( x ) ( x ^ 3 )",
"( x ) ( x )",
"x + x ^ 11",
"3 x ^ 2"
] | 3 | x + x ^ 11 | aqua_rat | A ) X ^ 4 - always positive ( or 0 ) .
B ) X ( X ^ 3 ) = X ^ 4 - Again always positive ( or 0 ) .
C ) ( x ) ( x ) = X ^ 2 - Again always positive ( or 0 ) .
D ) x + x ^ 11 - Could be - ve if x is - ve .
E ) 3 X ^ 2 - again always positive ( or 0 )
Answer D . |
Renu can do a piece of work in 6 days , but with the help of her friend Suma , she can do it in 4 days . In what time Suma can do it alone ? | [
"10",
"12",
"14",
"15",
"17"
] | 1 | 12 | aqua_rat | Renu ’ s one day ’ s work = 1 / 6
Suma ’ s one day ’ s work = 1 / 4 - 1 / 6 = 1 / 12
Suma can do it alone in 12 days .
ANSWER : B |
2 y - 3 x = 2 xy and x ≠ 0 . If x and y are integers , which of the following could equal y ? | [
"2",
"1",
"0",
"- 2",
"3"
] | 3 | - 2 | aqua_rat | Plug in the answer choices in the equation from the question stem .
A ) y = 2 > > > 4 - 3 x = 4 x > > > No value of x will satisfy this , not even 0 . POE
B ) y = 1 > > > 2 - 3 x = 2 x > > > Same , POE
C ) y = 0 > > > - 3 x = 0 > > > x can not equal 0
D ) y = - 2 > > > - 4 - 3 x = - 4 x > > > Holds true for x = 4 , no ... |
Five kilograms of oranges contained 95 % of water . If the next day the concentration of water decreased by 5 % , what was the new weight of the oranges , in kilograms ? | [
"30",
"25",
"15",
"10",
"5"
] | 1 | 25 | aqua_rat | Five kilograms of oranges contained 95 % of water . If the next day the concentration of water decreased by 5 % , what was the new weight of the oranges , in kilograms ?
( A ) 30
( B ) 25
( C ) 15
( D ) 10
( E ) 5
If B is the answer , then the question means that the concentration of water the newt day became 90 % .
Ou... |
The apartment on King - Williams street is an asset that its value is tramping about . From the year 1973 to 1983 it ' s value decreased by 16 % and from 1983 to 1993 it ' s value increased by 16 % . What is the value of the asset in 1993 if in 1973 it was worth $ 50,000 ? | [
"$ 48,720",
"$ 40,000 .",
"$ 38,976 .",
"$ 39,679 .",
"$ 36,796 ."
] | 0 | $ 48,720 | aqua_rat | 50,000 * 1.16 * . 84 = Unit and tens digit of the expression is 6 and 7 respectively .
Only option A fulfills the condition and hence is the answer |
There are 5 marbles in a bag - 2 are orange and 3 are blue . If two marbles are pulled from the bag , what is the probability W that at least one will be orange ? | [
"W = 7 / 10",
"W = 3 / 5",
"W = 2 / 5",
"W = 3 / 10",
"1 / 10"
] | 0 | W = 7 / 10 | aqua_rat | Method 1
Probability that at least one out of two marbles will be orange = 1 - Probability that both marbles are blue = 1 - P ( First marble is blue ) * P ( Second Marble is Blue ) = 1 - ( 3 / 5 ) ( 2 / 4 ) = 7 / 10
Method 2
Probability that at least one marble will be orange = P ( First Marble is Orange ) * P ( Second... |
The perimeter of an isosceles right triangle is 14 + 14 sq rt 2 . What is the length of the hypotenuse of the triangle ? | [
"5",
"6",
"7",
"8",
"9.899"
] | 4 | 9.899 | aqua_rat | side of triangle is a then perimeter = a + a + a . sqrt 2 ( right angle and pythagorus ) = 2 a + a . sqrt 2 = 14 + 14 Sqrt 2 or ,
a . ( 2 + sqrt 2 ) = 14 ( 1 + sqrt 2 ) , a = 14 * ( 1 + sqrt 2 ) / 2 + sqrt 2 = 14 * 2.414 / 3.414 = then hypotenuse = 9.899
E |
In a kickball competition of 8 teams , how many possible matches can each team play with each other ? | [
"9",
"16",
"24",
"28",
"54"
] | 3 | 28 | aqua_rat | 8 C 2 = 28
Option D |
If k is the sum of the digits of integer m , and m = 11 n , where n is an integer , which of the following must be true ? | [
"k is a multiple of 6",
"The sum of the digits of k is divisible by 3",
"m is a multiple of 10 k",
"k is divisible by 2",
"k is a multiple of 8"
] | 3 | k is divisible by 2 | aqua_rat | m = 11 n i . e n = 1 , 2,3 , 4 etc or - 1 , - 2 . - 3 , - 4 then m = 11,22 , 33,44 or - 11 , - 22 , - 33 , - 44 then k 2,4 , 6,8 or - ( 1 + 1 ) , - ( 2 + 2 ) , - ( 3 + 3 ) , - ( 4 + 4 ) .
ans D |
A particular store purchased a stock of turtleneck sweaters and marked up its cost by 20 % . During the New Year season , it further marked up its prices by 25 % of the original retail price . In February , the store then offered a discount of 8 % . What was its profit on the items sold in February ? | [
"27.5 %",
"30 %",
"35 %",
"37.5 %",
"38 %"
] | 4 | 38 % | aqua_rat | Assume the total price = 100 x
Price after 20 % markup = 120 x
Price after 25 % further markup = 1.25 * 120 x = 150 x
Price after the discount = 0.92 * 150 x = 138 x
Hence total profit = 38 %
Option E |
Of the 5 numbers , whose average is 120 , the first is one - fourth of the sum of the last 4 . The first number is ? | [
"83",
"80",
"50",
"120",
"60"
] | 3 | 120 | aqua_rat | Total of 5 numbers = 5 * 120 = 600
Let total of last 4 numbers = x
1 st number = x / 4
x + x / 4 = 600
5 x = 2400 = > x = 480
1 st number = 480 / 4 = 120
Answer : D |
Which one of the following is equal to 17 ? | [
"3 - 4 * 5 + 6",
"3 * 4 + 5 / 6",
"3 + 4 * 5 - 6",
"3 / 4 + 5 - 6",
"3 * 4 / 5 + 6"
] | 2 | 3 + 4 * 5 - 6 | aqua_rat | In the table below , each of the five expressions is evaluated using the correct order of operations .
Expression Value
( A ) 3 - 4 x 5 + 6 = 3 - 20 + 6 = - 17 + 6 = - 11
( B ) 3 x 4 + 5 + 6 = 12 + 5 / 6 = 12 + 5 / 6 = 12 5 / 6
( C ) 3 + 4 x 5 - 6 = 3 + 20 - 6 = 23 - 6 = 17
( D ) 3 / 4 + 5 * 6 = 3 / 4 + 5 - 6 = 5 3 / 4... |
A train passes a station platform in 36 sec and a man standing on the platform in 20 sec . If the speed of the train is 54 km / hr . What is the length of the platform ? | [
"239",
"240",
"288",
"282",
"238"
] | 1 | 240 | aqua_rat | Speed = 54 * 5 / 18 = 15 m / sec .
Length of the train = 15 * 20 = 300 m .
Let the length of the platform be x m . Then ,
( x + 300 ) / 36 = 15 = > x = 240 m .
Answer : B |
Vijay sells a cupboard at 12 % below cost price . Had he got Rs . 1650 more , he would have made a profit of 12 % . What is the cost price of the cupboard ? | [
"7450",
"14900",
"7400",
"6875",
"None of these"
] | 3 | 6875 | aqua_rat | Explanation :
Cost price = 1650 / ( 0.12 + 0.12 ) = 2086 / 0.24
= Rs . 6875
ANSWER D |
A worker can load one truck in 6 hours . A second worker can load the same truck in 8 hours . If both workers load one truck simultaneously while maintaining their constant rates , approximately how long , in hours , will it take them to fill one truck ? | [
"2.6",
"2.8",
"3.0",
"3.2",
"3.4"
] | 4 | 3.4 | aqua_rat | The workers fill the truck at a rate of 1 / 6 + 1 / 8 = 14 / 48 = 7 / 24 of the truck per hour .
Then the time to fill one truck is 24 / 7 which is about 3.4 hours .
The answer is E . |
From a bunch of four keys , three particular keys have to be used to open a combination lock , such that the second key can be used only after the first key and the third key can be used only after the second key . What are the chances of opening the lock in a random selection of three keys ? | [
"1 / 24",
"1 / 36",
"1 / 60",
"1 / 80",
"1 / 120"
] | 0 | 1 / 24 | aqua_rat | The probability is 1 / 4 * 1 / 3 * 1 / 2 = 1 / 24 .
The answer is A . |
A contractor is engaged for 30 days on the condition thathe receives Rs . 25 for each day he works & is fined Rs . 7.50 for each day is absent . He gets Rs . 360 in all . For how many days was he absent ? | [
"8",
"12",
"15",
"17",
"19"
] | 1 | 12 | aqua_rat | 30 * 25 = 750
360
- - - - - - - - - - -
380
25 + 7.50 = 32.5
390 / 32.5 = 12
B |
On a certain transatlantic crossing , 10 percent of a ship ' s passengers held round - trip tickets and also took their cars aboard the ship . If 60 percent of the passengers with round - trip tickets did not take their cars aboard the ship , what percent of the ship ' s passengers held round - trip tickets ? | [
"33 1 / 3 %",
"40 %",
"50 %",
"25 %",
"66 2 / 3 %"
] | 3 | 25 % | aqua_rat | On a certain transatlantic crossing , 20 percent of a ship ’ s passengers held round - trip tickets and also took their cars abroad the ship . If 60 percent of the passengers with round - trip tickets did not take their cars abroad the ship , what percent of the ship ’ s passengers held round - trip tickets ?
Solution ... |
If a number is subtracted from its square we get 272 . Find the number ? | [
"22",
"29",
"17",
"29",
"11"
] | 2 | 17 | aqua_rat | Explanation :
x 2 â € “ x = 272 = > x = 17
Answer : C |
The ages of Patrick and Michael are in the ratio of 3 : 5 and that of Michael and Monica are in the ratio of 3 : 5 . If the sum of their ages is 245 , what is the difference between the ages of Patrick and Monica ? | [
"27",
"48",
"80",
"72",
"18"
] | 2 | 80 | aqua_rat | Ages of P and Mi = 3 x : 5 x
Ages of Mi and Mo = 3 x : 5 x
Rationalizing their ages . ratio of their ages will be 9 x : 15 x : 25 x
Sum = 49 x = 245
x = 5
Difference if ages of Pa and Mo = 25 x - 9 x = 16 x = 16 * 5 = 80
Answer C |
What is the next number of the following sequence
108,58 , 50,8 , ? | [
"40",
"50",
"30",
"42",
"35"
] | 3 | 42 | aqua_rat | 108 - 58 = 50
58 - 50 = 8
50 - 8 = 42
therefore next no . is 42
ANSWER : D |
In 10 years , A will be twice as old as B was 10 years ago . If A is now 9 years older than B the present age of B is | [
"37",
"38",
"39",
"40",
"41"
] | 2 | 39 | aqua_rat | let present age of A be a and B be b
a + 10 = 2 * ( b - 10 )
= > 2 b - a = 30 . . . . . . ( i )
a = b + 9
= > 2 b - b - 9 = 30
b = 39
so the present age of b is 39 years
ANSWER : C |
A store sells two kinds of birdseed . If brand a is 40 % millet and 60 % sunflower and brand b is 65 % millet and 35 % sunflower . A customers purchases a mix of the two types that is 50 % millet . What percent is brand A | [
"30",
"40",
"50",
"60",
"70"
] | 3 | 60 | aqua_rat | Let ` ` a ' ' and ` ` b ' ' be the amount of brand A and brand B respectively in the mixture .
Total amount of the mixture = a + b
Amount of millet in the mixture = 40 % of a + 65 % b . This is also equal to 50 % of the mixture as per the question i . e ( a + b ) / 2
. 4 a + . 65 b = ( a + b ) / 2 = > . 8 a + 1.3 b = a... |
Stuart bought a sweater on sale for 30 % off the original price and another 25 % off the discounted price . If the original price of the sweater was $ 120 , what was the final price of the sweater ? | [
"$ 25.75",
"$ 35.75",
"$ 63",
"$ 45.75",
"$ 15.75"
] | 2 | $ 63 | aqua_rat | The price with 30 % off
120 - 30 % of 120 = 120 - ( 30 / 100 ) * 120 = 84
The price with another 25 % off
84 - 25 % of 84 = 84 - ( 25 / 100 ) * 84 = $ 63
correct answer C |
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