antoine-444/aqua_rat_dataset huggingface dataset:
Question: The relationship between quantities m and n is expressed by the equation 25m = 5(n - 42). If the difference between the two chosen values of n is 30, what is the difference in the corresponding values of m?
Choices:
42/11
6
150/11
14
Answer: B
Question: By selling 99 pencil, a trader gains the cost of 33 Pencil. Find his gain percentage?
Choices:
51 1/3%
33 1/3%
53 1/3%
34 1/3%
Answer: B
Question: An anticraft gun can take a maximum of four shots at an enemy plane moving away from it. The probabilities of hitting the plane at the first, second, third and the fourth shot are 0.4, 0.3, 0.2 and 0.1 respectively. What is the probability that the gun hits the plane.
Choices:
0.6976
0.44
0.868
0.839
Answer: A
Question: Evaluate: 20 - 12÷12×2 =
Choices:
B)8
C)12
D)16
E)20
Answer: A
Question: Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
Choices:
3/8
3/4
5/16
9/16
Answer: B
Question: In how many seconds will a train 150 meters long pass an oak tree, if the speed of the train is 36 km/hr?
Choices:
13
15
17
19
Answer: B
Question: If the cost price of 50 articles is equal to the selling price of 40 articles, then the gain or loss percent is?
Choices:
65
78
33
25
Answer: D
Question: How many plants will be there in a circular bed whose outer edge measure 32 cms, allowing 4 cm2 for each plant ?
Choices:
750
24
20
None of these
Answer: C
Question: On my sister's 15th birthday, she was 159 cm in height, having grown 6% since the year before. How tall was she the previous year?
Choices:
150 cm
170 cm
140 cm
150 cm
Answer: A
Question: If in a cricket one day match, there were no wide balls, no wides, no extras and no overthrows.
What is the maximum number of runs that a batsman can score in an ideal case scenario?
Choices:
1653
3693
4253
2653
Answer: A
Question: A sum of money lent out at S.I. amounts to Rs. 780 after 2 years and to Rs. 1020 after a further period of 5 years. The sum is?
Choices:
s. 684
s. 540
s. 740
s. 840
Answer: A
Question: Three numbers are in the ratio 4 : 5 : 6 and their product is 76680. the largest number is
Choices:
24
26
28
22
Answer: A
Question: A present value of a machine is $1100. Its value depletion rate is 10% per annum then find the machine value after 2 years?
Choices:
$891
$915
$715
$795
Answer: A
Question: Three beakers namely A, B and C each contain 100 ml of spirit in water solution. The ratio of spirit to water in the beakers A, B and C is 1 : 3, 1 : 4 and 2 : 3 respectively. 40 ml of solution is transferred from beaker A to beaker C and than 28 ml of solution is transferred from beaker C to beaker B. Find the final ratio of spirit in the beakers A, B and C.
Choices:
3 : 6 : 8
15 : 28 : 42
25 : 28 : 42
None of these
Answer: A
Question: The average of 11 numbers is 10.9. If the average of first six is 10.5 and that of the last six is 11.2 the sixth number is?
Choices:
10.3
11.8
11.5
11.1
Answer: A
Question: Jim drove 215 miles of a 1200 miles journey. How many more miles does he need to drive to finish his journey?
Choices:
432 miles
456miles
887 miles
985 miles
Answer: D
Question: M = {-6, -5, -4, -3, -2}
T = {-2, -1, 1, 2, 3}
If an integer is to be randomly selected from set M above and an integer is to be randomly selected from set T above, what is the probability that the product of the two integers will be negative?
Choices:
1/3
2/5
1/2
3/5
Answer: D
Question: When positive integer x is divided by positive integer y, the result is 59.32. What is the sum T of all possible 2-digit remainders for x/y?
Choices:
616
672
728
784
Answer: A
Question: A tank has both an inlet pipe and an outlet pipe. Working alone, the inlet pipe can fill up the tank in 4 hours. Working alone, the outlet pipe can empty out the tank in 10 hours. If it is desired that the tank should be filled, from empty, exactly 6 hours after the inlet pipe is turned on at 9:30am, then at what time should the outlet pipe be opened ?
Choices:
9:30am
10:00am
10:30am
11:30am
Answer: C
Question: In a mixture of 60 liters, the ratio of milk and water is 2:1. What amount of water must be added to make the ratio of milk and water as 1:2?
Choices:
60
77
66
44
Answer: A
Question: If st > 0, which of the following must be negative?
Choices:
-s/t
-s*-t
-s/-t
s+t
Answer: A
Question: If the cost price is 92% of sp then what is the profit %
Choices:
8.70%
8.10%
8.30%
8.27%
Answer: A
Question: What is the are of an equilateral triangle of side 10 cm?
Choices:
25âˆš3 cm2
64âˆš3 cm2
64âˆš5 cm2
14âˆš3 cm2
Answer: A
Question: The product of HCF and LCM of 18 and 15 is
Choices:
150
175
270
190
Answer: C
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?
Choices:
12/455
12/487
12/456
12/4512
Answer: A
Question: When a student Joe, weighing 45 kg, joins a group of students whose average weight is 30 kg, the average weight goes up by 1 kg. Subsequently, if two students, excluding Joe, leave the group the average weight comes back to 30 kg. What is the difference between the average weight of the two students who left and the weight of Joe?
Choices:
7.5 kg
30 kg
36.5 kg
71 kg
Answer: A
Question: A number when divided by a certain divisor left remainder 251, when twice the number was divided by the same divisor, the remainder was 112. Find the divisor?
Choices:
365
390
456
460
Answer: B
Question: A man sold 20 articles for $60 and gained 20%. How many articles should he sell for $60 to incur a loss 20%?
Choices:
30
40
50
48
Answer: A
Question: How many shots of 1cm radius can be prepared from a sphere of 4cm radius?
Choices:
88
27
64
99
Answer: C
Question: A man purchased a cow for Rs. 3000 and sold it the same day for Rs. 3600, allowing the buyer a credit of 2 years. If the rate of interest be 10% per annum, then the man has a gain of:
Choices:
0%
2%
3%
4%
Answer: A
Question: Four usual dice are thrown on the ground. The total of numbers on the top faces of these four dice is 13 as the top faces showed 4, 3, 1 and 5 respectively. What is the total of the faces touching the ground?
Choices:
37
15
99
26
Answer: B
Question: M is a certain set of numbers with an average (arithmetic mean) of 10 and a standard deviation of 1. Q is a subset of M consisting of 5 terms. Exactly 80% of the numbers in Q are located within 2 standard deviations from the average of M. Which of the following could Q be?
Choices:
{3, 6, 7, 10, 12}
{3, 5, 5, 10, 16}
{1, 5, 7, 10, 12}
{5, 8, 9, 10, 12}
Answer: D
Question: On increasing the number of lines in a page by 100, they become 240. What is the % of increase in the no. of lines in the page?
Choices:
305
50%
71.4%
60%
Answer: C
Question: A man has $480 in the denominations of one-Dollar, five-Dollar notes and ten-Dollar. The number of Dollars of each denomination is equal. What is the total number of Dollar that he has ?
Choices:
60
90
48
67
Answer: B
Question: Car A runs at the speed of 65km/hr & reaches its destination in 8hr. Car B runs at the speed of 72 km/h & reaches its destination in 4h. What is the respective ratio of distances covered by Car A & Car B?
Choices:
12 : 7
13 : 7
65 : 36
13 : 6
Answer: C
Question: The side of a square is increased by 25% then how much % does its area increases?
Choices:
10 %
15 %
56.25 %
18 %
Answer: C
Question: When positive integer k is divided by 5, the remainder is 2. When k is divided by 6, the remainder is 5. If k is less than 24, what is the remainder when k is divided by 7?
Choices:
5
6
3
8
Answer: C
Question: Health insurance Plan C requires the insured to pay $1000 or 50% of total cost, whichever is lower. Plan B requires the insured to pay the initial $300, but then pays 80% of the cost over $300. Which of the following is a cost level for which both insurance plans pay out the same amount?
Choices:
$1000
$3800
$5300
$6200
Answer: A
Question: Which of these fractions is equivalent to 15
25?
Choices:
2/3
3/5
1/2
5/7
Answer: B
Question: The average of 10 numbers is calculated as 15. It is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. The correct average is?
Choices:
16
19
22
24
Answer: A
Question: In an examination 40% failed in Hindi, 45% failed in English. If 25% students failed in both the subjects. Then the percentage of failed students is?
Choices:
60
25
30
40
Answer: A
Question: If A lends Rs.3500 to B at 10% per annum and B lends the same sum to C at 14% per annum then the gain of B in a period of 3 years is?
Choices:
410
460
420
430
Answer: C
Question: 4/[(1/0.03) + (1/0.37)] = ?
Choices:
0.11111
2.775
3.6036
36.036
Answer: A
Question: In an examination 60% failed in Math and 40% failed in French. If 32% failed in both. What % of students passed in both.
Choices:
15%
20%
32%
10%
Answer: C
Question: If y exceeds x by 30%, then x is less than y by?
Choices:
16 8/3%
23 1/13%
76 2/3%
23 2/3%
Answer: B
Question: The average of 11 results is 40, if the average of first five results is 49 and that of the last seven is 52. Find the fifth result?
Choices:
166
167
168
169
Answer: D
Question: John started a business, investing Rs.18000. After 3 months and 4 months respectively, Rose and Tom joined him with capitals of 12000 and 9000. At the end of the year the total profit was Rs.3982. What is the difference between Rose ’s and Tom ’s share in the profit?
Choices:
Rs.362
Rs.370
Rs.382
Rs.390
Answer: A
Question: A computer factory produces 6048 computers per month at a constant rate, how many computers are built every 30 minutes assuming that there are 28 days in one month?
Choices:
3.125.
4.5.
5.225.
6.25.
Answer: B
Question: The volume of a cube is 1000 cc. Find its surface.
Choices:
556
255
600
267
Answer: C
Question: A thief goes away with a SANTRO car at a speed of 40 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 50 kmph when will the owner over take the thief from the start?
Choices:
21 hours
23 hours
20 hours
28 hours
Answer: C
Question: A 2015 model car had an average mileage of 38 miles per gallon, when the car wight was 180 kilograms. An upgraded version of the car in 2016 gave a mileage of 43 miles per gallon and the car weight was reduced to 150 kilograms. By approximately what percent did the mileage of the car to the weight of the car improve?
Choices:
43
36
19
37
Answer: B
Question: A and B walk around a circular track. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. If they start at 8 a.m. from the same point in opposite directions, how many times shall they cross each other before 11 a.m.?
Choices:
6
7
8
15
Answer: D
Question: A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 1100 m long?
Choices:
230 Sec
167 Sec
197 Sec
179 Sec
Answer: A
Question: A bag contains 12 white and 18 black balls. 2balls are drawn in succession. What is the probability that first is white and second is black?
Choices:
36/145
31/111
11/154
11/151
Answer: A
Question: The ratio between the sale price and the cost price of an article is 9:5. What is the ratio between the profit and the cost price of that article?
Choices:
1:2
4:5
3:5
25
Answer: B
Question: John purchased a grinder and a mobile for Rs. 15000 &Rs. 8000 respectively. He sold the grinder at a loss of 4% and the mobile phone at a profit of 20%. Overall how much he make aprofit.
Choices:
s. 1120
s. 1200
s. 1250
s. 1290
Answer: B
Question: How many numbers from 10 to 47 are exactly divisible by 3?
Choices:
12
16
17
18
Answer: A
Question: If n is an integer and 101n^2 is less than or equal to 3600, what is the greatest possible value of n?
Choices:
5
9
10
11
Answer: A
Question: A man saves Rs 350 at the end of each year and lends the money at 5% compound interest. How much will it become at the end of 3 years.
Choices:
Rs 1158.54
Rs 1158.78
Rs 1158.88
None of these
Answer: A
Question: A farmer is planting a row consisting of 3 unique apple trees and 3 unique orange trees. How many ways are there for the farmer to plant the trees such that no apple tree is adjacent to another apple tree and no orange tree is adjacent to another orange tree?
Choices:
72
1,024
1,152
10,080
Answer: A
Question: .The price of commodity P increases by 40 paise every year, while the price of commodity Q increases by 15 paise every year. If in 2001, the price of commodity P was Rs. 4.20 and that of Q was Rs. 6.30, in which year commodity P will cost 40 paise more than the commodity Q ?
Choices:
2009
2010
2011
None of these
Answer: C
Question: If f(2, 4) = 24 and f(1, 5) = 26, what is the value of f(2, 6)?
Choices:
127
44
None of these
Cannot be determined
Answer: B
Question: At what rate percent of simple interest will a sum of money double itself in 12 years?
Choices:
8 1/3 %
8 7/3 %
6 1/3 %
8 9/3 %
Answer: A
Question: For all numbers a and b, the operationis defined by ab = (a + 2)(b – 3).
If 3x = –25, then x =
Choices:
–2
-3
6
15
Answer: A
Question: A person travels from P to Q a speed of 60 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips?
Choices:
75
48
99
21
Answer: A
Question: There are 8 books in a shelf that consist of 1 paperback books and 7 hardback books. If 4 books are selected at random without replacement, how many different combinations are there that at least one paperback book is selected?
Choices:
35
50
55
60
Answer: A
Question: At an upscale fast-food restaurant, Shin can buy 3 burgers, 7 shakes, and one cola for $120. At the same place it would cost $158.50 for 4 burgers, 10 shakes, and one cola. How much would it cost for a meal of one burger, one shake, and one cola?
Choices:
$27
$31
$43
It cannot be determined
Answer: C
Question: In a group of buffaloes and ducks, the number of legs are 24 more than twice the number of heads. What is the number of buffaloes in the group?
Choices:
12
14
15
16
Answer: A
Question: The distance between Delhi and Mathura is 110 kms. A starts from Delhi with a speed of 20 kmph at 7 a.m. for Mathura and B starts from Mathura with a speed of 25 kmph at 8 p.m. from Delhi. When will they meet?
Choices:
10.00 a.m.
9.30 a.m.
9.00 a.m.
9.45 a.m.
Answer: A
Question: After decreasing 80% in the price of an article costs Rs.320. Find the actual cost of an article?
Choices:
2987
1200
9977
1600
Answer: D
Question: After M students took a test, the average score was 74%. If the test has 50 questions, what is the least number of questions that the next student has to get right to bring the average score up to 75%?
Choices:
M + 0.74
0.75M - 0.5
0.5M + 37.5
37-0.5M
Answer: C
Question: A can do a piece of work in 12 days. He worked for 15 days and then B completed the remaining work in 10 days. Both of them together will finish it in?
Choices:
12 1/2 days
12 6/2 days
16 1/2 days
12 2/2 days
Answer: A
Question: A class contains five juniors and five seniors. If one member of the class is assigned at random to present a paper on a certain subject, and another member of the class is randomly assigned to assist him, what is the probability Q that both will be juniors?
Choices:
1/5
2/9
2/5
1/2
Answer: B
Question: A certain chocolate bar manufacturer reduced the weight of Chocolate Bar M by 20 percent buy left the price unchanged. What was the resulting percent increase in the price per ounce of chocolate Bar M?
Choices:
24
25
28
30
Answer: B
Question: A works twice as fast as B.If B can complete a work in 12 days independently,the number of days in which A and B can together finish the work is :
Choices:
4 days
8 days
18 days
None of these
Answer: A
Question: The total of the ages of Amar, Akbar and Anthony is 66 years. What was the total of their ages four years ago ?
Choices:
44
54
16
18
Answer: B
Question: what is rate of interest if principal.amount be 400,simple interest 100 and time 2year.
Choices:
12.5
25
12
14.5
Answer: A
Question: A bag contains 26 purple jellybeans, 15 green jellybeans, and 9 yellow jellybeans; these jellybeans are the only items in the bag. If a person picks a jellybean at random out of the bag, what is the probability that the jellybean will be purple?
Choices:
20%
25%
43%
52%
Answer: D
Question: If x and y are positive integers, Choose which of the following CANNOT be the greatest common divisor of 15x and 20y?
Choices:
5(x-y)
20x
20y
35x
Answer: B
Question: If (x/y)=(6/5), find the value (x^2+y^2)/(x^2-y^2)
Choices:
61/11
51/77
41/11
None of them
Answer: A
Question: Q:Robert purchased $1500 worth of US saving bonds. If bonds are sold in $50 or $100 denominations only, which of the following CANNOT be the number of US saving bonds that Robert purchased?
Choices:
20
27
30
40
Answer: D
Question: The smallest number which when diminished by 7, is divisible by 12, 16, 18, 21 and 28 is
Choices:
1015
1022
1032
None
Answer: A
Question: There are 12 teams in a certain league and each team plays each of the other teams exactly once. What is the total number of games played?
Choices:
66
77
88
99
Answer: A
Question: Difference between the length &breadth of a rectangle is 26 m. If its perimeter is 208 m, then the ratio of area and perimeter is?? We have: (l - b) = 26 and 2(l + b) = 208 or (l + b) = 104?
Choices:
315:26
315:30
415:35
425:35
Answer: A
Question: Miraa is making telescopes, each consisting of 2 lenses, 1 tube, and 1 eyepiece. Lenses can be purchased only in packs of 50, tubes only in packs of 10, and eyepieces only in packs of 30. However, half of the lenses in each pack are not usable for telescopes. If all parts are used only for the telescopes, what is the minimum number of lenses Miraa must purchase to make a set of telescopes with no leftover components other than the unusable lenses?
Choices:
150
3000
600
7,500
Answer: B
Question: A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:
Choices:
5%
8%
10%
11%
Answer: A
Question: The Arnolds purchased 550 square feet of Kentucky Gem sod at $1.79 per square foot and 270 square feet of Zelzea Blue sod at $1.38 per square foot. What was the approximate average price per square foot paid for all the sod?
Choices:
$1.64
$1.66
$1.72
$1.76
Answer: B
Question: find value for x from below equation? x + 1 = 4
Choices:
-4
4
3
2
Answer: C
Question: Today my car meter reads as 72527 kms. I notes that this is a palindrome. How many minimum kms i need to travel so my car meter find another palindrom.
Choices:
115 kms
110 kms
210 kms
100 kms
Answer: D
Question: Working alone at its constant rate, pump M pumped out ¼ of the water in a tank in 2 hours. Then pumps N and O started working and the three pumps, working simultaneously at their respective constant rates, pumped out the rest of the water in 3 hours. If pump N, working alone at its constant rate, would have taken 18 hours to pump out the rest of the water, how many hours would it have taken pump O, working alone at its constant rate, to pump out all of the water that was pumped out of the tank?
Choices:
12
15
18
24
Answer: A
Question: A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the cycle?
Choices:
Rs. 1160
Rs. 1190
Rs. 1202
Rs. 1406
Answer: B
Question: What is the units digit of (6!*4! + 6!*5!)/6?
Choices:
0
2
3
4
Answer: A
Question: How many of the following numbers are divisible by 132?
264, 396, 462, 792, 968, 2178, 5808, 6336
Choices:
5
6
7
8
Answer: A
Question: Little John had $8.50. He spent $1.25 on sweets and gave to his two friends $1.20 each. How much money was left?
Choices:
$4.85
$5.85
$2.85
$1.85
Answer: A
Question: On his deathbed, a father called upon his three sons and told them to distribute all his assets worth Rs. 52,500 in the ratio of 1/15 : 1/21 : 1/35 amongst themselves. Find the biggest share amongst the three portions.
Choices:
Rs. 2,45,000
Rs. 1,10,500
Rs. 1,13, 250
Rs. 1,15, 250
Answer: A
Question: In what proportion must rice at Rs 3.10 per kg be mixed with rice at Rs 3.75 per kg, so that the mixture be worth Rs 3.25 a kg?
Choices:
5/3
10/3
3/7
11/5
Answer: B
Question: If {x} is the product of all even integers from 1 to x inclusive, what is the greatest prime factor of {26} + {24}?
Choices:
20
27
5
2
Answer: B
Question: Find the number that fits somewhere into the middle of the series. Some of the items involve both numbers and letters
Look at this series: J14, L16, __, P20, R22, ... What number should fill the blank?
Choices:
B29
N18
T34
M45
Answer: B
Question: If a particular player is always chosen, in how many ways can a cricket-be chosen out of 15 players?
Choices:
1000
1200
1230
1365
Answer: D
Question: A man can row upstream at 45 kmph and downstream at 55 kmph, and then find the speed of the man in still water?
Choices:
34 kmph
30 kmph
50 kmph
65 kmph
Answer: C
Question: If j and k are integers whose product is 400, which of the following statements must be true?
Choices:
n is not equal to k.
Either n or k is a multiple of 10.
If n is even, then k is odd.
If j is odd, then k is even.
Answer: D
Question: A reduction of 40% in the price of bananas would enable a man to obtain 50 more for Rs.40, what is reduced price per dozen?
Choices:
2.84
3.84
4.34
5
Answer: B
Question: What least whole no. should be added to 532869 to make it divisible by 9?
Choices:
6
9
10
11
Answer: B
Question: 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?
Choices:
63
45
72
36
Answer: A
Question: Find the least number which when divided by 18,32,48,52 leaves remainder 14,28,44,48 respectively.
Choices:
3250
3740
4150
5140
Answer: B
Question: If x is an even integer and y = 5x + 1, which of the following CANNOT be a divisor of y?
Choices:
31
21
41
30
Answer: D
Question: Find the compound interest and the amount on Rs.8000 at 5% per annum for 4 years when C.I is reckoned yearly?
Choices:
s.1440.05
s.1185.05
s.1346.05
s.1724.05
Answer: D
Question: M is a certain set of numbers with an average (arithmetic mean) of 10 and a standard deviation of 1.5. Q is a subset of M consisting of 5 terms. Exactly 80% of the numbers in Q are located within 2 standard deviations from the average of M. Which of the following could Q be?
Choices:
{3, 7, 7, 10, 12}
{3, 5, 5, 10, 16}
{1, 5, 7, 10, 18}
{5, 6, 7, 10, 12}
Answer: A
Question: How many numbers from 10 to 50 are exactly divisible by 9?
Choices:
10
11
12
14
Answer: D
Question: 3^11 + 3^11 + 3^11 =
Choices:
3^12
3^30
9^10
9^30
Answer: A
Question: Find the area of a rhombus whose side is 25 cm and one of the diagonals is 30 cm?
Choices:
600
767
261
121
Answer: A
Question: Two family reunions are happening at the Taj hotel, the Oates reunion and the Hall reunion. All 150 guests at the hotel attend at least one of the reunions. If 70 people attend the Oates reunion and 52 people attend the Hall reunion, how many people attend both reunions?
Choices:
5
10
16
28
Answer: D
Question: A certain company has budgeted $1320 for entertainment expenses for the year, divided into 12 equal monthly allocations. If by the end of the third month, the total amount spent on entertainment was $400, how much was the company under budget or over budget?
Choices:
$30 under budget
$30 over budget
$70 over budget
$180 over budget
Answer: C
Question: On his drive to work, Leo listens to one of three radio stations A, B or R. He first turns to A. If A is playing a song he likes, he listens to it; if not, he turns it to B. If B is playing a song he likes, he listens to it; if not, he turns it to R. If R is playing a song he likes, he listens to it; if not, he turns off the radio. For each station, the probability is 0.30 that at any given moment the station is playing a song Leo likes. On his drive to work, what is the probability that Leo will hear a song he likes?
Choices:
0.09
0.417
0.657
0.9
Answer: C
Question: For which of the following does n(a)−n(b)=n(a−b) for all values of a and b?
Choices:
n(x)=x/2
n(x)=x+5
n(x)=2x−1
n(x)=|x|
Answer: A
Question: How many factors greater than 50, which are multiples of 3, are possible in 8400?
Choices:
31
21
11
01
Answer: B
Question: How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Choices:
30 sec
27 sec
28 sec
29 sec
Answer: A
Question: If X,Y is 20%,25% greater than Z then how much percentage is X smaller than Y?
Choices:
3%
3 11/13%
4%
None of these
Answer: B
Question: Which of the following inequalities has a solution set, when graphed on the number line, is a single line segment of finite length?
Choices:
2 <= 3x+4 <= 6
2 <= 356x+4 <= 6
2 <= 378x+4 <= 6
2 <= 357x+4 <= 6
Answer: A
Question: The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions.
Choices:
704 m
168 m
278 m
107 m
Answer: A
Question: The speed of a car is 70 km in the first hour and 90 km in the second hour. What is the average speed of the car?
Choices:
80 kmph
34 kmph
23 kmph
14 kmph
Answer: A
Question: A loan has a variable interest rate that fluctuates between 7% and 10% of the base payment per month. If base payments remain at $300 each month and an additional monthly surcharge of 1% is added to the combined (base + interest), what would be the greatest possible payment due in any given month?
Choices:
$331.00
$332.30
$333.30
$334.60
Answer: C
Question: 4 bells first begin to toll together with an intervals of 5, 10, 15 & 20 sec. How many times does they toll together in an hr?
Choices:
60
70
80
90
Answer: A
Question: Find 30 % of 240
Choices:
72
86
74
110
Answer: A
Question: If X is to be chosen at random from the set {5,7,4,3,8} and Y is to be chosen at random from the set {6,3,4,2}, what is the probability that XY will be odd?
Choices:
8
11
6
1
Answer: D
Question: In an entrance exam, 3 marks is awarded for every correct answer and (-1) for every wrong answer. If a student gets 38 marks after attempting all questions, find the number of questions answered correctly if the total questions were 70.
Choices:
40
27
43
56
Answer: B
Question: On 8th Feb, 2005 it was Tuesday. What was the day of the week on 8th Feb, 2004?
Choices:
Sunday
Saturday
Monday
Tuesday
Answer: A
Question: A box contains 6 black, 8 red and 4 green marbles. 2 marbles are drawn from the box at random. What is the probability that both the marbles are of the same color?
Choices:
49/153
49/153
40/153
24/72
Answer: A
Question: The population of a town is 10000. It increases annually at the rate of 20% p.a. What will be its population after 3 years?
Choices:
17280
14500
14600
15400
Answer: A
Question: There was a match to be held.And 100 nations were to participate in that match.It was totally an elimination match,that is if a team loses a match it must be eliminated.Find out the total number of matches played to find out the grand winner?
Choices:
97
98
99
92
Answer: C
Question: Find the missing figures :
?% of 60 = 2.125
Choices:
6.54
8.7
3.54
4.54
Answer: D
Question: Which of the following leads to the correct mathematical solution for the number of ways that the letters of the word SUCCESS could be arranged to create a seven-letter code?
Choices:
6! − (3! + 2!)
7!/(3! × 2!)
7!/(3! + 2!)
8!/(2! x 2!)
Answer: B
Question: The average of first 32 natural numbers is?
Choices:
16.5
18.4
15.4
15.1
Answer: A
Question: A boat ma goes 2km against the current of the stream in 1 hr and goes 1 km along the current in 10 min. how long will it take to go 8 km in stationary water
Choices:
1hr
1hr 15 min
1hr 30 min
2 hr
Answer: D
Question: A rectangular lawn of length 50 m and breadth 35 m is to be surrounded externally by a path which is 2 m wide. Find the cost of turfing the path at the rate of $3 per m².
Choices:
$1031
$1028
$1068
$1088
Answer: C
Question: A boy can reach a certain place in 45 hours. If he reduces his speed by 1/30th, he goes 3 km less in that time. Find his speed.
Choices:
2 km/hr.
8 km/hr
14 km/hr
None of these
Answer: A
Question: One-fourth of the light switches produced by a certain factory are defective. Four-fifths of the defective switches are rejected and 1/20 of the non defective switches are rejected by mistake. If all the switches not rejected are sold, what percent of the switches sold by the factory are defective?
Choices:
5.5%
6.6%
11.3%
16.2%
Answer: B
Question: If P(A) = 2/15, P(B) = 4/15, and P(A âˆª B) = 6/15 Find P(B|A)
Choices:
2/3
3
4/5
4/7
Answer: B
Question: A train running at the speed of 60 km/hr crosses a pole in 12 seconds. Find the length of the train.
Choices:
278
179
200
191
Answer: C
Question: The average number of visitors of a library in the first 4 days of a week was 58. The average for the 2nd, 3rd, 4th and 5th days was 60.If the number of visitors on the 1st and 5th days were in the ratio 7:8 then what is the number of visitors on the 5th day of the library?
Choices:
17
64
19
01
Answer: B
Question: A computer manufacturer produces a certain electronic component at a cost of $70 per component. Shipping costs for delivering the components are $4 per unit. Further, the manufacturer has costs of $14,500 a month related to the electronic component regardless of how many it produces. If the manufacturer produces and sells 250 components a month, what is the lowest price it can sell them for such that the costs don't exceed the revenues?
Choices:
132
144
128
116
Answer: A
Question: The sum of three consecutive even numbers is 30. Find the middle number of the three?
Choices:
16
18
25
34
Answer: C
Question: If p is a positive integer and 10p/96 is an integer, then the minimum number of unique prime factors p could have is L:
Choices:
L=2
L=3
L=4
5
Answer: A
Question: The original price of a camera was displayed as a whole dollar amount. After adding sales tax of 15 percent, the final price was also a whole dollar amount. Which of the following could be the final price of the camera?
Choices:
$210
$230
$213
$215
Answer: B
Question: How many positive three-digit integers are divisible by both 3 and 7?
Choices:
43
47
50
52
Answer: A
Question: Three partners A,B,C start a business.A invested 3000 for 8 month,B invested
4000 for 9 month.and C invested 5000 for 1 years.at the end of year there is total profit of 15000 rs.what is profit share of B?
Choices:
4500
4000
4200
3500
Answer: A
Question: If p/q = 5/4 , then 2p+q= ?
Choices:
14
13
15
16
Answer: A
Question: A sum of money at simple interest amounts to $ 815 in 3 years and to $854 in 4 years. The sum is:
Choices:
$698
$398
$549
$675
Answer: A
Question: When n is divided by 19, the remainder is 7. Find thee difference between previous remainder and the remainder when 18n is divided by 9 ?
Choices:
7
0
3
9
Answer: A
Question: There are 437 doctors and nurses in a hospital. If the ratio of the doctors to the nurses is 8 : 11, then how many nurses are there in the hospital?
Choices:
253
57
171
181
Answer: A
Question: In how many ways can live boys and three girls sit in a row such that all boys sit together?
Choices:
2778
2880
2987
1231
Answer: B
Question: What is the median of a set of consecutive integers if the sum of nth number from the beginning and nth number from the end is 150?
Choices:
25
50
75
100
Answer: C
Question: Kiran has 85 currency notes in all, some of which were of Rs. 100 denomination and the
remaining of Rs. 50 denomination. The total amount of all these currency notes was Rs.
5000. How much amount did she have in the denomination of Rs. 50?
A. B. C. None of these D.
Answer: Option B
Explanation:
Choices:
3500
4000
2000
2500
Answer: A
Question: If 4 is the remainder when m is divided by 10, what is the remainder when 4m is divided by 10?
Choices:
4
6
8
0
Answer: B
Question: If the area of circle O is 16π, what is the length of an arc on the circle formed by a central angle measuring 45 degrees?
Choices:
π
2π
5π/2
8π
Answer: A
Question: A number when divided by 296 leaves 75 as remainder. When the same number is divided by 37, the remainder will be:
Choices:
1
3
4
11
Answer: A
Question: Find the fourth proportional to 2.4, 4.6 and 7.6?
Choices:
14.56
15.14
15.17
15.26
Answer: A
Question: Two goods trains each 250 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Choices:
24
48
51
44
Answer: A
Question: Find the sum of all 2 digit numbers divisible by 3.
Choices:
1665
1300
1448
1465
Answer: A
Question: A restaurant serves 600 bowls of noodles for Rs. 12000 at a loss of Rs. 2 per bowl. Find the cost price for one bowl?
Choices:
18
22
35
26
Answer: B
Question: Entry fee is Re.1.there are 3 rides each is of Re.1. total boys entering are 3000.total income is Rs.7200. 800 students do all 3 rides. 1400 go for atleast 2 rides.none go the same ride twice. then no of students who do not go any ride is?
Choices:
1000
2378
8287
1872
Answer: A
Question: A can do a piece of work in 80 days. He works at it for 10 days & then B alone finishes the remaining work in 42 days. In how much time will A and B, working together, finish the work?
Choices:
30 days
25 days
35 days
45 days
Answer: A
Question: The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is?
Choices:
36.1
36.5
36.2
36.9
Answer: B
Question: If Greg buys 3 shirts, 4 trousers and 2 ties, the total cost is $40. If Greg buys 7 shirts, 2 trousers and 2 ties, the total cost is $60. How much will it cost him to buy 3 trousers, 5 shirts and 2 ties?
Choices:
$50
$75
$96
Cannot be determined
Answer: A
Question: How many combinations of three letters taken from letters (a, b, b, c, c, d,d) are possible?
Choices:
4C3+9
4C3+2
4C3
4C3+6
Answer: A
Question: In how many ways can you seat 6 people on a bench if one of them, Rohit, does not want to sit on the middle seat or at either end?
Choices:
360
2880
5040
10080
Answer: A
Question: The area of a triangle is with base 8.4m and height 5.8m?
Choices:
10.36m2
18.36 m2
19.36 m2
24.36 m2
Answer: D
Question: 8 fruits are tpo kept on a table. A pair of oranges and apples must be kept together. in how many arrangements can the fruits be arranged?
Choices:
B.1850
C.4200
D.3546
E.2880
Answer: D
Question: What is the perimeter of a rectangular field whose diagonal is 5m and length is 4m ?
Choices:
15 m
14 m
10 m
25 m
Answer: B
Question: The average (arithmetic mean) of four different positive integers is 16. If the first of these integers in 3 times the second integer and the second integer is 2 less than the third integer, what is the least possible value of the fourth integer?
Choices:
4
3
2
1
Answer: C
Question: John and Amanda stand at opposite ends of a straight road and start running towards each other at the same moment. Their rates are randomly selected in advance so that John runs at a constant rate of 3, 4, or 5 miles per hour and Amanda runs at a constant rate of 4, 5, 6, or 7 miles per hour. What is the probability that John has traveled farther than Amanda by the time they meet?
Choices:
1/12
1/8
1/6
1/3
Answer: A
Question: Amber works 20 days a month at d dollars per day for m months out of the year. Which of the following represents her monthly pay?
Choices:
20d
10md/6
20d/m
20md
Answer: B
Question: Find the set of all points (x, y) such that the area of the triangle with vertices (0, 0), (6, 4) and (x, y) is 4.
Choices:
9
7
8
2
Answer: C
Question: In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?
Choices:
2/7
4/8
9/2
3/8
Answer: A
Question: The average of six numbers is S and the average of three of these is T.If the average of the remaining three is U, then
Choices:
2S= T + U
S= 2T + 2U
None of these
Cannot ne determined
Answer: A
Question: 3889 + 15.952 - ? = 3854.002
Choices:
50.95
45.97
47.59
45.79
Answer: A
Question: October 9, 2012, fell on a Tuesday. On which day of the week did June 25, 2013, fall? (Note: 2012 was a leap year.)
Choices:
Monday
Tuesday
Wednesday
Thursday
Answer: B
Question: When positive integer x is divided by 11, the quotient is y and the remainder is 4. When 2x is divided by 5, the quotient is 3y and the remainder is 4. What is the value of 4y – x ?
Choices:
-1
0
1
2
Answer: B
Question: Two sides of a triangle have lengths q and y and meet at a right angle. If the perimeter of the triangle is 4q, what is the ratio of q to y ?
Choices:
b) 3 : 4
c) 4 : 3
d) 3 : 2
e) 2 : 1
Answer: A
Question: If a particular player is always chosen, in how many ways can a cricket-be chosen out of 15 players?
Choices:
1345
1788
1346
1365
Answer: D
Question: What is the minimum value of |x-4| + |x+2| + |x-5| ?
Choices:
3
5
7
8
Answer: C
Question: Which of the following ratios is greatest ?
Choices:
15 :23
17 :25
21 :29
1 : 2
Answer: C
Question: If f(a)=a^2, what is the value of (f(a-b)−f(a))/b ?
Choices:
b
2a
-2a + b
2b - a
Answer: C
Question: 36.	A 240 m long train crosses a platform of equal length in 27 s. What is the speed of the train in km/h?
Choices:
60
56
64
68
Answer: C
Question: A vessel of capacity 2 litre has 20% of alcohol and another vessel of capacity 6 litre had 40% alcohol. The total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water. What is the new concentration of Mixture?
Choices:
71%.
49%.
29%.
28%.
Answer: D
Question: Smita Was Making A Cube With Dimensions 5*5*5 Using 1*1*1 Cubes. What Is The Number Of Cubes Needed To Make A Hollow Cube Looking Of The Same Shape?
Choices:
98
100
61
51
Answer: A
Question: Working alone, printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 15, 10, and 20 hours, respectively. What is the ratio of the time it takes printer X to do the job, working alone at its rate, to the time it takes printers Y and Z to do the job, working together at their individual rates?
Choices:
8/3
9/4
10/3
12/5
Answer: B
Question: Alice walked for 3 days. She walked 18 miles on the first day, walking 3 miles per hour. On the second day she walked for one less hour but she walked one mile per hour, faster than on the first day. On the third day she walked the same number of hours as on the first day, but at the same speed as on the second day. How many miles in total did she walk?
Choices:
44
58
60
62
Answer: D
Question: A, B and C are partners. A receives 2/3 of profits, B and C dividing the remainder equally. A's income is increased by Rs.200 when the rate to profit rises from 5 to 7 percent. Find the Capital of B?
Choices:
2500
3500
4000
4500
Answer: A
Question: 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
Look at this series: 1.5, 3.5, 5.5, 7.5, ... What number should come next?
Choices:
3.6
9.5
5.0
4.4
Answer: B
Question: Amar takes as much time in running 18 meters as a car takes in covering 48 meters. What will be the distance covered by Amar during the time the car covers 1.8 km?
Choices:
650 m
570 m
670 m
680 m
Answer: C
Question: The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?
Choices:
21:22
2:1
21:24
14:16
Answer: A
Question: Akhil's club with a total membership of 30 has formed 3 committees, M, S and R which have 8,12, and 5 members respectively. If no member of committee M is on either of the other 2 committees, what is the greatest possible number of members in the club who are on none of the committees.
Choices:
7
8
10
12
Answer: C
Question: Maxwell leaves his home and walks toward Brad's house. One hour later, Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 24 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h. What is the total time it takes Maxwell before he meets up with Brad?
Choices:
3
5
6
8
Answer: A
Question: Find the compound interest on $15,624 for 9 months at 16% per annum compounded quarterly.
Choices:
$1951
$2258
$8978
$8875
Answer: A
Question: Boy sells a book for Rs. 450 he gets a loss of 10 %, To gain 10 %, what should be the SP?
Choices:
Rs.450
Rs.550
Rs.640
Rs.680
Answer: B
Question: In what time will a railway train 65 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Choices:
7 sec
2 sec
6.5 sec
9 sec
Answer: C
Question: In a group of 22 boys, 13 play basketball and 15 play football. 3 of the boys play neither. how many play both ?
Choices:
18
21
22
25
Answer: A
Question: If n is an integer and 5^n > 40,000,000, what is the least possible value of n?
Choices:
8
9
10
11
Answer: D
Question: Suppose we have six marbles: 3 yellow marbles, 2 red marbles, and one green marble. Suppose we are going to put them into three cups: a black cup, a white cup, and a purple cup. We could put all six in any cup and leave two cups empty; or we could put marbles in two cups and leave one cup empty; or we could put some marbles in each of the three cups. How many combinations are possible?
Choices:
180
149
150
175
Answer: A
Question: P and Q started a business with respective investments of Rs. 4 lakhs and Rs. 10 lakhs. As P runs the business, his salary is Rs. 5000 per month. If they earned a profit of Rs. 2 lakhs at the end of the year, then find the ratio of their earnings?
Choices:
5 : 2
3 : 5
1 : 1
None of these
Answer: C
Question: There are 36 students in a certain geometry class. If two thirds of the students are boys and one half of the boys are under six feet tall, how many boys in the class are under six feet tall?
Choices:
12
18
24
27
Answer: A
Question: If 2^z is a factor of 22!, which of the following could be the value of z?
I. 22
II. 23
III. 24
Choices:
II only
I​ and II
I, II, and III
None
Answer: D
Question: A certain bacteria colony doubles in size every day for 25 days, at which point it reaches the limit of its habitat and can no longer grow. If two bacteria colonies start growing simultaneously, how many days will it take them to reach the habitat’s limit?
Choices:
7.5
10
15
24
Answer: D
Question: A particular library has 75 books in a special collection, all of which were in the library at the beginning of the month. These book are occasionally loaned out through an inter-library program. If, by the end of the month, 70 percent of books that were loaned out are returned and there are 57 books in the special collection at that time, how many books of the special collection were loaned out during that month?
Choices:
30
35
40
60
Answer: D
Question: Which of the following numbers completes
the sequence 3, 8, 14, 21, 29,38, 48, ___?
Choices:
36
37
59
89
Answer: C
Question: The average age of the boys in a class is 16 years and that of the girls is 15 years. The average age for the whole class is
Choices:
29
11
data inadequate
28
Answer: C
Question: A rat is placed at the beginning of a maze and must make it to the end. There are four paths at the start that he has an equal chance of taking: path A takes 5 minutes and leads to the end, path B takes 8 minutes and leads to the start, path C takes 3 minutes and leads to the end, and path D takes 2 minutes and leads to the start.
What is the expected amount of time it will take for the rat to finish the maze?
Choices:
6min
7min
8min
9min
Answer: D
Question: 3 years ago, Paula was 3 times as old as Karl. In 9 years, Paula will be twice as old as Karl. What is the sum of their ages now?
Choices:
46
50
54
58
Answer: C
Question: The ratio of the cost price and the selling price is 4:5. The profit percent is?
Choices:
56
25
28
12
Answer: B
Question: A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Choices:
350
287
272
112
Answer: A
Question: A person starts walking at a speed of 5km/hr through half the distance, rest of the distance he
covers with aspeed 6km/hr. Total time of travel is 9 hours. What is the maximum distance he
can cover?
Choices:
40km
60km
80km
90km
Answer: B
Question: Students of three different classes appeared in common examination. Pass average of 10 students of first class was 45%, pass average of 15 students of second class was 60% and pass average of 25 students of third class was 80% then what will be the pass average of all students of three classes?
Choices:
75%
67%
72%
None
Answer: B
Question: A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:
Choices:
120
140
150
170
Answer: C
Question: A train 1020 m long running at 102 kmph crosses a platform in 50 sec. What is the length of the platform?
Choices:
298
396
726
267
Answer: B
Question: How many cases do you need if you have to pack 112 pairs of shoes into cases that each hold 28 shoes?
Choices:
8
9
10
None of the above
Answer: A
Question: Among 300 people, 56% like strawberry jam, 44% like apple jam, and 40% like raspberry jam. If 30% of the people like both strawberry and apple jam, what is the largest possible number of people who like raspberry jam but do not like either strawberry or apple jam?
Choices:
60
80
86
90
Answer: D
Question: A person crosses a 420 m long street in 5 minutes. What is his speed in km per hour?
Choices:
8.2 km/hr.
7.2 km/hr.
3.2 km/hr.
5.04 km/hr.
Answer: D
Question: Last year, Company X made q dollars in profit. Half of the profit went to the company’s founder. The rest was split evenly among his Five other partners. In terms of q, how much did each of the other partners receive?
Choices:
q/5
q/10
q/7
q/8
Answer: B
Question: How many ounces of a 60% salt solution must be added to 30 ounces of a 20 percent salt solution so that the resulting mixture is 40% salt?
Choices:
30
50
60.33
70
Answer: A
Question: A pair of articles was bought for $50 at a discount of 10%. What must be the marked price of each of the article?
Choices:
$22.50
$29.65
$35.95
$45.62
Answer: A
Question: What is the dividend. divisor 17, the quotient is 9 and the remainder is 5.
Choices:
142
146
158
160
Answer: C
Question: Jerry went to a shop and bought things worth Rs. 30, out of which 30 % went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choices:
19.7
21.3
21.5
24.7
Answer: D
Question: A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. What is the length of the wire?
Choices:
5 cm
2 cm
1 cm
9 cm
Answer: D
Question: The average of five numbers id 27. If one number is excluded, the average becomes 23. What is the excluded number?
Choices:
43
32.5
35
37
Answer: A
Question: X can do a piece of work in 4 hours; Y and Z together can do it in 3 hours, while X and Z together can do it in 2 hours. How long will Y alone take to do it?
Choices:
10hours
12hours
24hours
15hours
Answer: B
Question: The curved surface of a right circular cone of height 15cm and base diameter 16 cm is
Choices:
60 ∏cm³
136 ∏cm³
138 ∏cm³
None
Answer: B
Question: A boy runs 200 metres in 36 seconds. What is his speed ?
Choices:
20 km/hr
30 km/hr
32 km/hr
34 km/hr
Answer: A
Question: 60% of a number is added to 120, the result is the same number. Find the number?
Choices:
300
270
129
281
Answer: A
Question: If x= (10^50) - 57, what is the sum of all the digits of x?
Choices:
418
420
439
449
Answer: C
Question: Beth received 3/5 of the votes cast in a certain election. What fraction of the other votes cast would she have needed in order to have received 3/4 of the votes cast?
Choices:
2/7
3/8
7/20
1/2
Answer: B
Question: If a, b, c are integers and ab>0, bc >0, ac<0, then which of the following must be true?
I.	a>0, b>0, c>0
II.	a=0, b=0, c=0
III.	a<0, b<0, c<0
Choices:
II only
III only
I, II and III
None of the above
Answer: D
Question: Four wolves, Wolverine, Man-hunter, Blue-wolf, and Jasmine, caught rabbits for their evening meal. If Man-hunter caught 3 more rabbits than Blue-wolf did, Jasmine caught 3 less than Wolverine did, and Wolverine caught 1 more than Man-hunter did, how many more fewer rabbits did Blue-wolf catch than Jasmine?
Choices:
-2
-5
-12
-1
Answer: D
Question: Rs.525 among A, B and C such that B may get 2/3 of A and C together get. Find the share of C?
Choices:
150
177
167
122
Answer: A
Question: A 180 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?
Choices:
108 kmph
181 kmph
188 kmph
111 kmph
Answer: A