question stringlengths 3 1.14k | question_id stringlengths 6 10 | choices stringlengths 19 961 | answer stringlengths 4 222 | rationale stringlengths 1 3.68k | dataset stringclasses 2
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The diameter of a cylindrical tin is 14 cm and height is 2 cm. Find the volume of the cylinder? | aqua_93965 | A) 33
B) 45
C) 66
D) 77
E) 98 | E) 98 | r = 7 h = 5
π * 7 * 7 * 5 = 98 π cc | AQuA-RAT |
What approximate value should come in place of the question mark (?) in the following equation?
16√524 + 1492 - 250.0521? | aqua_93966 | A) 1600
B) 1800
C) 1900
D) 2400
E) 1400 | A) 1600 | ? ≈ 16 × 23 + 1490 – 250 ≈ 1600 | AQuA-RAT |
A retail item is offered at a discount of b percent (where b > 10), with a 5% state sales tax assessed on the discounted purchase price. If the state sales tax were not assessed, what percent discount from the item’s original retail price, in terms of b, would result in the same final price? | aqua_93967 | A) b+5/1.05
B) b/1.05 +5
C) 1.05b-5
D) b-5/1.05
E) 1.05(p – 5) | C) 1.05b-5 | Let x be the price of the item.
Final price after discount and sales tax = x * (1 - b/100) * 1.05
Let c be the percent discount which would result in the same final price.
Then,
x * (1 - b/100) * 1.05 = x * (1 - c/100)
=> 1.05 - 1.05b/100 = 1 - c/100
=> c/100 = 1.05b/100 - .05
=> c = 1.05b - 5 | AQuA-RAT |
A train 1600 m long passes a man, running at 6 km/hr in the same direction in which the train is going, in 60 sec. The speed of the train is? | aqua_93968 | A) 42 km/hr
B) 44 km/hr
C) 46 km/hr
D) 48 km/hr
E) 50 km/hr | A) 42 km/hr | Speed of the train relative to man = 1600/60 = 80/6 m/sec.
= 80/6 * 18/5 = 48 km/hr
Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr.
x - 6 = 48 => x = 42 km/hr. | AQuA-RAT |
In a company of 16 employees, 8 employees earn $38,000, 4 employees earn $42,000, and the 4 highest-paid employees earn the same amount. If the average annual salary for the 16 employees is $44,000, what is the annual salary for each of the highest-paid employees? | aqua_93969 | A) $54,000
B) $55,000
C) $56,000
D) $57,000
E) $58,000 | E) $58,000 | 8*38,000+4*42,000+4x=16*44,000
4x=704,000-304,000-168,000
4x=232,000
x=58,000 | AQuA-RAT |
How many times are the hands of a clock at right angle in a day? | aqua_93970 | A) 22
B) 24
C) 44
D) 48
E) None | C) 44 | EXPLANATION
In 12 hours, they are at right angles 22 times.
In 24 hours, they are at right angles 44 times. | AQuA-RAT |
Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is | aqua_93971 | A) 5/6
B) 5/9
C) 5/5
D) 5/2
E) 5/1 | B) 5/9 | No two dice show same number would mean all the three faces should show different numbers. The first can fall in any one of the six ways. The second die can show a different number in five ways. The third should show a number that is different from the first and second. This can happen in four ways.
Thus 6 * 5 * 4 = 12... | AQuA-RAT |
If 0.5% of A =70 paise, then the value of A is ? | aqua_93972 | A) Rs. 170
B) Rs. 140
C) Rs. 1.70
D) Rs. 4.25
E) None | B) Rs. 140 | Answer
∵ 0.5/100 of A = 70/100
∴ A = Rs. (70 / 0.5) = Rs. 140 | AQuA-RAT |
Two brothers took the GMAT exam, the higher score is X and the lower one is Y. If the difference between the two scores is 1/5, what is the value of X/Y ? | aqua_93973 | A) 3.
B) 5
C) 1/2.
D) 1/3.
E) There isn't enough data to answer the question. | B) 5 | Answer is B : 5
X - Y = (X + Y)/2 | AQuA-RAT |
The distance from City A to City B is 120 miles. While driving from City A to City B, Cara drives at a constant speed of 30 miles per hour. Dan leaves City A 60 minutes after Cara. What is the minimum constant speed in miles per hour that Dan must exceed in order to arrive in City B before Cara? | aqua_93974 | A) 42
B) 44
C) 46
D) 48
E) 40 | E) 40 | The time it takes Cara to drive to City B is 120 / 30 = 4 hours.
Dan needs to take less than 3 hours for the trip.
Dan needs to exceed a constant speed of 120 / 3 = 40 miles per hour. | AQuA-RAT |
Two cars cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car. | aqua_93975 | A) 348
B) 277
C) 960
D) 872
E) 121 | C) 960 | 60(x + 1) = 64x
X = 15
60 * 16 = 960 km | AQuA-RAT |
An article is bought for Rs.675 and sold for Rs.900, find the gain percent? | aqua_93976 | A) 33 1/8%
B) 33 9/3%
C) 33 1/3%
D) 93 1/3%
E) 33 2/3% | C) 33 1/3% | 675 ---- 225
100 ---- ? => 33 1/3% | AQuA-RAT |
|x+3| – |4-x| = |9+x| How many solutions will this equation have? | aqua_93977 | A) 0
B) 1
C) 2
D) 3
E) 4 | B) 1 | You have |x+3| - |4-x| = |8+x|
First, look at the three values independently of their absolute value sign, in other words:
|x+3| - |4-x| = |8+x|
(x+3) - (4-x) = (8+x)
Now, you're looking at x < - 8, so x is a number less than -8. Let's pretend x = -10 here to make things a bit easier to understand.
when x=-10
I.) (x+3)... | AQuA-RAT |
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