antoine-444/aqua_rat_dataset huggingface dataset:
Question: The difference between the ages of two persons is 10 years.Fifteen years ago ,the elder one was twice as old as the younger one.The present age of the elder person is :
Choices:
35 years
45 years
55 years
75 years
Answer: A
Question: A dog takes 4 leaps for every 5 leaps of a hare but 3 leaps of a dog are equal to 4 leaps of the hare. Compare their speeds?
Choices:
16:15
9:13
5:15
9:17
Answer: A
Question: The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 47. The corrected new mean is?
Choices:
36.1
36.5
36.02
36.3
Answer: C
Question: If a equals the sum of the even integers from 2 to 20, inclusive, and b equals the sum of the odd integers from 1 to 19, inclusive, what is the value of a - b ?
Choices:
10
19
20
21
Answer: B
Question: The length of the longest tape in cm which can be used to measure exactly, the length 6m; 5m ; and 12m is:
Choices:
100
50
1200
500
Answer: A
Question: Find the numbers which are in the ratio 3:2:4 such that the sum of the first and the second added to the difference of the third and the second is 21.
Choices:
9, 6, 19
9, 6, 16
9, 6, 12
9, 6, 11
Answer: C
Question: A rectangular cube has sides measuring 15 inches long by 12 inches wide by 2 inches high. If the surface area of the rectangle is the same as a cube, what do the sides/walls of the cube measure? Round to the nearest whole number.
Choices:
5
9
6
4
Answer: B
Question: Each of three investments has a 20% of becoming worthless within a year of purchase, independently of what happens to the other two investments. If Simone invests an equal sum V in each of these three investments on January 1, the approximate chance that by the end of the year, she loses no more than 1/3 of her original investment is
Choices:
90%
70%
60%
40%
Answer: A
Question: A cistern is filled by a tap in 3 1/2 hours. Due to leak in the bottom of the cistern, it takes half an hour longer to fill the cistern. If the cistern is full how long will it take the leak to empty it?
Choices:
28
99
72
61
Answer: A
Question: A cyclist covers a distance of 90km in 6 hours. Find the speed of the cyclist.
Choices:
25 km/hr.
20 km/hr.
15 km/hr.
35 km/hr.
Answer: C
Question: A vendor sells 60 percent of apples he had and throws away 15 percent of the remainder. Next day he sells 50 percent of the remainder and throws away the rest. What percent of his apples does the vendor throw?
Choices:
23
77
26
30
Answer: A
Question: Bucket P has thrice the capacity as bucket Q. It takes 60 turns for bucket P to fill the empty drum. How many turns it will take for both the buckets P and Q, having each turn together to fill the empty drum?
Choices:
45
50
25
60
Answer: A
Question: In how many years does a sum of Rs. 5000 yield a simple interest of Rs. 16500 at 15% p.a.?
Choices:
22
25
30
35
Answer: A
Question: If x= (y-1)(y+2), then what is the least possible value of x?
Choices:
-9/4
7/4
2
1
Answer: A
Question: The area of a triangle is with base 4m and height 5m?
Choices:
10
99
17
12
Answer: A
Question: A call center has two teams. Each member of Team A was able to process 1/5 calls as compared to each member of Team B. If Team A has 5/8 as many number of call center agents as Team B, what fraction of the total calls was processed by Team B?
Choices:
3/4
8/9
1/2
1/5
Answer: B
Question: How many multiples of 5 are there between 1 and 89 ?
Choices:
20
13
17
22
Answer: C
Question: A person takes 20 minutes more to cover a certain distance by decreasing his speed by 20%. What is the time taken to cover the distance at his original speed?
Choices:
1 hour 80 minutes
1 hour 20 minutes
8 hour 20 minutes
1 hour 50 minutes
Answer: B
Question: For every positive integer n, the nth term of sequence is given by an= 1/n - 1/(n+1). What is the sum of the first 90 terms?
Choices:
1
25
89/90
90/91
Answer: D
Question: Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. In how much time will the trains cross each other?
Choices:
80/7 sec
40/7 sec
60/7 sec
90/7 sec
Answer: A
Question: What is the difference between the place value of 1 in the numeral 7119?
Choices:
160
180
90
210
Answer: C
Question: A person incurs 5% loss by selling a watch for $1140. At what price should the watch be sold to earn 5% profit?
Choices:
$1260
$1542
$1000
$1292
Answer: A
Question: An unbiased cubic die is thrown.What is the probability of getting a multiple of 2 and 3?
Choices:
1/6
3/6
1
1/12
Answer: A
Question: In a mixture of a, b and c, if a and b are mixed in 3:5 ratio and b and c are mixed in 8:5 ratio and if the final mixture is 35 liters, find the amount of b?
Choices:
15.73
15.77
15.72
15.71
Answer: A
Question: A garden has 50,000 trees. 12% of the trees are guava trees, 15% are orange trees, 10% are coconut trees and the rest are mango trees. Find the number of mango trees.
Choices:
30200
30800
31200
31500
Answer: D
Question: How many numbers with distinct digits are possible product of whose digits is 28?
Choices:
4
8
12
14
Answer: B
Question: A man’s wages were decreased by 50%. Again, the reduced wages were increased by 50%. He has a loss of?
Choices:
25%
20%
30%
none of these
Answer: A
Question: Convert the 13/36 m/s into kilometers per hour?
Choices:
1.6 kmph
1.3 kmph
3.3 kmph
1.9 kmph
Answer: B
Question: A can do a piece of work 60 days. B can do work in 20 days. In how many days they will complete the work together?
Choices:
16 days
15 days
17 days
18 days
Answer: B
Question: 2, 7, 36, 4, 14, 225, 6, 21, ?
Choices:
576
376
584
594
Answer: A
Question: A person who has a certain amount with him goes to market. He can buy 50 oranges or 40 mangoes. He retains 10% of the amount for taxi fares and buys 20 mangoes and of the balance he purchases oranges. Number of oranges he can purchase is
Choices:
40
15
20
10
Answer: C
Question: Before a salary increase, the weekly salary of a worker for 42 hours in a week was as much as the worker is paid now for 40 hours of work in a week. What is the percent increase in the worker's salary per hour?
Choices:
4
5
6
7
Answer: B
Question: How can a cake(circular) be cut into 8 pieces by making just 3 cuts?
Choices:
21
37
26
01
Answer: A
Question: Kathleen can paint a room in 2 hours, and Anthony can paint an identical room in 7 hours. How many hours would it take Kathleen and Anthony to paint both rooms if they work together at their respective rates?
Choices:
28/9
15/8
9/4
15/4
Answer: A
Question: If a no. when divided by 44, gives 432 as quotient and 0 as remainder. What will be the remainder when dividing the same no. by 34
Choices:
2
5
7
9
Answer: A
Question: How should be added in order to make 2345672 this number is divisible by 9?
Choices:
6
7
8
9
Answer: B
Question: If 8 spiders make 8 webs in 8 days, then 1 spider will make 1 web in how many days?
Choices:
6
5
8
3
Answer: C
Question: How many multiples of 5 are there between 1 and 36, exclusive?
Choices:
5
6
7
9
Answer: C
Question: Stephanie, Regine, and Brian ran a 20 mile race. Stephanie and Regine's combined times exceeded Brian's time by exactly 2 hours. If nobody ran faster than 8 miles per hour, who could have won the race?
I. Regine
II. Stephanie
III. Brian
Choices:
II only
III only
I or II only
II, or III
Answer: D
Question: Harkamal purchased 8kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 65 per kg. How much amount did he pay to the shopkeeper?
Choices:
B)1075
C)1145
D)1070
E)1080
Answer: B
Question: Determine the value of (25/32+50/64)*2
Choices:
25/8
25/6
3
none
Answer: A
Question: Compound X contains elements A and B at an approximate ratio, by weight, of 2:10. Approximately how many grams of element B are there in 330 grams of compound X?
Choices:
162
250
275
322
Answer: C
Question: A 16% stock yielding 10% is quoted at :
Choices:
110
112
120
160
Answer: D
Question: You collect flowers. Suppose you have 89 flowers. You plucked 77 flowers from tree. How many flowers do you have now.?
Choices:
166
77
12
37
Answer: A
Question: Two pipes A and B can fill a tank in 6 hours and 4 hours respectively. If they are opened on alternate hours and if pipe A is opened first, in how many hours, the tank shall be full?
Choices:
4hrs
5hrs
6hrs
7hrs
Answer: B
Question: A cistern can be filled by a tap in 6 hours while it can be emptied by another tap in 12 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?
Choices:
2.9 hrs
12 hrs
7.2 hrs
1.4 hrs
Answer: B
Question: A train covers a distance of 36km in 12 min. If it takes 10 sec to pass a telegraph post, then the length of the train is?
Choices:
1000 m
120 m
200 m
500 m
Answer: D
Question: If air is called green , green is called blue, blue is called water, sky is called yellow, yellow is called water and water is called water, then what is the color of clear sky ?
Choices:
Sky
Water
Yellow
Black
Answer: B
Question: A jar full of whiskey contains 40% alcohol. A part of
this whiskey is replaced by another containing 19% alcohol
and now the percentage of alcohol was found to be 26%.
The quantity of whiskey replaced is?
Choices:
2/3
1/5
1/4
1/8
Answer: A
Question: A corporation paid $7 million in federal taxes on its first $50 million of gross profits and then $30 million in federal taxes on the next $100 million in gross profits. By approximately what percent did the ratio of federal taxes to gross profits increase from the first $50 million in profits to the next $100 million in profits?
Choices:
14%
114%
23%
43%
Answer: B
Question: 7 people average age is 30. youngest person age is 7. find average of the people when youngest was born.
Choices:
23
25
26
27
Answer: A
Question: George went to a fruit market with certain amount of money. With this money he can buy either 50 oranges or 40 mangoes. He retains 10% of the money for taxi fare and buys 10 mangoes. How many oranges can he buy?
Choices:
30
20
16
12
Answer: B
Question: If selling price is doubled, the profit triples. Find the profit percent?
Choices:
100
177
165
122
Answer: A
Question: A can do a work in 12days. When he had worked for 3days, B joinedhim. If they complete the work in 3more days, in how manydays can Balone finish the work?
Choices:
4 days
5 days
6 days
9 days
Answer: C
Question: A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
Choices:
6 sec
4 sec
3 sec
1 sec
Answer: A
Question: The greatest possible length which can be used to measure exactly the length 6m ,2m 85cm, 4m 95 cm is?
Choices:
101cm
56cm
42cm
15cm
Answer: D
Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective?
Choices:
1/199
1/122
1/121
1/126
Answer: D
Question: A man buys Rs. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is:
Choices:
12
13
14
15
Answer: D
Question: Aaron will jog from home at 4 miles per hour and then walk back home by the same route at 8 miles per hour. How many miles from home can Aaron jog so that he spends a total of 3 hours jogging and walking?
Choices:
10
12
8
15
Answer: C
Question: When the integer x is divided by 12, the remainder is 3. Which of the following, when divided by 12, will have a remainder of 6 ?
I. 2x
II. 6x
III. 4x + 6
Choices:
II only
III only
I and II only
I, II, and III
Answer: D
Question: The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 55 sq. cm. Find the length of the rectangle.
Choices:
16cm
15cm
20cm
23cm
Answer: A
Question: A man swims downstream 30 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water?
Choices:
8 kmph
4 kmph
9 kmph
3 kmph
Answer: A
Question: A flagpole 18 meters high casts a shadow of length 45 meters. If a building under similar conditions casts a shadow of length 50 meters, what is the height of the building (in meters)?
Choices:
20
24
28
32
Answer: A
Question: 4000 was divided into two parts such a way that when first part was invested at 3% and the second at 5%, the whole annual interest from both the investments is Rs.144, how much was put at 3%?
Choices:
Rs.2700
Rs.2800
Rs.5000
Rs.6000
Answer: B
Question: A starts walking at 4 kmph and 4 hours after his start B starts cycling at 10 kmph. After how much distance will B catch up with A
Choices:
25.7 km
23.2 km
26.67 km
None of these
Answer: C
Question: The positive value of x that satisfies the equation (1 + 2x)^5 = (1 + 2x)^4 is between
Bunuel, can you please explain this one?
Choices:
0.5 and 1
1 and 1.5
1.5 and 2
2 and 2.5
Answer: A
Question: The cash difference between the selling prices of an article at a profit of 4% and 6% is Rs. 3. The ratio of the two selling prices is?
Choices:
52:53
52:50
22:56
52:51
Answer: A
Question: The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:10. If P invested the money for 5 months, find for how much time did Q invest the money?
Choices:
10
178
162
72
Answer: A
Question: What is the greatest number of 4 digits that when divided by any of the numbers 6, 9, 12, 17 leaves a remainder of 2?
Choices:
9982
9794
9906
None of these
Answer: B
Question: A 4-letter code word consists of letters A, B, and C. If the code includes all the three letters, how many such codes are possible?
Choices:
48
36
24
18
Answer: D
Question: A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current?
Choices:
1.5
1.4
1.1
1.2
Answer: A
Question: Two unemployed young men decided to start a business together. They pooled in their savings, which came to Rs. 2,000. They were both lucky, their business prospered and they were able to increase their capital by 50 per cent every three years. How much did they have in all at the end of eighteen years?
Choices:
Rs. 22,781.25
Rs. 28,140.50
Rs. 18,000
Rs. 19,000
Answer: A
Question: In a circle with a radius of 6, what is the area of the biggest rectangle that can be cut out of this circle ?
Choices:
96
50
72
144
Answer: C
Question: A person travelled from his house to office at 30km/hr and office to house at 15km/hr. Then find the average speed?
Choices:
20km/hr
32km/hr
24km/hr
25km/hr
Answer: A
Question: A man can row 30 km downstream and 20 km upstream in 4 hours. He can row 45 km downstream and 40 km upstream in 7 hours. Find the speed of man in still water?
Choices:
12.5
12.9
12.1
12.2
Answer: A
Question: How many multiples of 5 are less than 5000, and also multiples of 50?
Choices:
100
625
832
833
Answer: A
Question: If two numbers are in the ratio 6:7. If 10 is added to both of the numbers then the ratio becomes 7:8 then find the smallest number?
Choices:
60
30
40
50
Answer: A
Question: A fruit-salad mixture consists of apples, peaches, and grapes in the ratio 12:8:7, respectively, by weight. If 54 pounds of the mixture is prepared, the mixture includes how many more pounds of apples than grapes?
Choices:
10
9
6
4
Answer: A
Question: In what time will a railway train 30 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Choices:
4 sec
3 sec
6 sec
1 sec
Answer: B
Question: Angelina walked 600 meters from her home to the grocery at a constant speed. She then walked 480 meters to the gym at double the speed. She spent 40 seconds less on her way from the grocery to the gym than on her way from home to the grocery. What was Angelina's speed, in meters per second, from the grocery to the gym?
Choices:
3
4
9
12
Answer: C
Question: An alchemist discovered that the formula expressing the correct proportions needed to turn ordinary metal into gold is G = 3/2M + 15, where G is the number of gold bars and M is the number of metal bars. If a metal bar weighs twice as much as a gold bar, how many metal bars will yield an equal weight of gold?
Choices:
15
22.5
30
67.5
Answer: C
Question: It is being given that (232 + 1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number?
Choices:
(296 + 1)
(216 - 1)
(217 - 1)
None
Answer: A
Question: If ‘DELHI’ is coded as ‘FGNJK’, then ‘PUNE’ is coded as
Choices:
RWPG
UHTG
WEDS
OKJY
Answer: A
Question: David and Lewis leave Chennai for Hyderabad simultaneously at 8 P.M in the night driving in two cars at speeds of 50 mph and 70 mph respectively. As soon as Lewis reaches Hyderabad he returns back to Chennai along the same route and meets David on the way back. If the distance between the two cities is 350 miles, how far from Chennai did David and Lewis meet?
Choices:
250 miles
230 miles
235 miles
75 miles
Answer: A
Question: How many Q ways can you group 3 people from 4 sets of twins if no two people from the same set of twins can be chosen?
Choices:
16
28
32
56
Answer: C
Question: In how many different number of ways 5 men and 3 women can sit on a shopa which can accommodate persons?
Choices:
30
75
40
56
Answer: D
Question: A salesman sold twice as much pears in the afternoon than in the morning. If he sold $450 kilograms of pears that day, how many kilograms did he sell in the afternoon?
Choices:
180
300
280
320
Answer: B
Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good.
A. 20/31
Choices:
20/63
20/93
20/03
20/53
Answer: A
Question: In a certain supermarket, a triangular display of cans is arranged in 9 rows, numbered 1 through 9 from top to bottom. Each successively numbered row contains 3 more cans than the row immediately above it. If there are fewer than 120 cans in the entire display, how many cans are in the seventh row?
Choices:
15
17
19
21
Answer: C
Question: By travelling at 40 kmph, a person reaches his destination on time. He covered two-third the total distance in one-third of the total time. What speed should he maintain for the remaining distance to reach his destination on time?
Choices:
20 kmph
15 kmph
14 kmph
13 kmph
Answer: A
Question: If a and b are the two values of t that satisfy
the equation t^2 â€“ 12t + 20 = 0, with a > b, what is the value of a â€“ b?
Choices:
4
6
8
10
Answer: C
Question: Find the principle on a certain sum of money at 5% per annum for 2 2/5 years if the amount being Rs.1120?
Choices:
1000
2769
2776
9871
Answer: A
Question: If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 3 years the amount to be paid is?
Choices:
2688
2688
8436
1268
Answer: C
Question: Which is the odd number out?
9421, 7532, 9854, 8612, 6531, 8541
Choices:
8612
2579
6642
7493
Answer: A
Question: Which of the following can be a perimeter q of a triangle inscribed in a circle of radius 1?
I. 0.001
II. 0.010
III. 0.100
Choices:
III only
II and III only
I, II, and III
Not I, II, or III
Answer: C
Question: A car is purchased on hire-purchase. The cash price is $23 000 and the terms are a deposit of 10% of the price, then the balance to be paid off over 60 equal monthly instalments. Interest is charged at 12% p.a. What is the monthly instalment?
Choices:
$504
$515
$543
$552
Answer: D
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
Choices:
50
888
277
21
Answer: A
Question: The total age of A and B is 13 years more than the total age of B and C. C is how many year younger than A
Choices:
B)12
C)13
D)14
E)15
Answer: B
Question: Niki covers a distance in 45 min , if she drives at a speed of 60 km/h on an average. Find the speed at which she must drive at to reduce the time of the journey by 50%.
Choices:
121.62 kmph
100.62 kmph
111.00 kmph
121.00 kmph
Answer: A
Question: Anup was asked to find the value of 7/12 of a sum of money T. Instead of multiplying the same by 7/12,he divided it by 7/12 and his answer exceeded the correct answer by 95. The correct answer is:
Choices:
89
84
69
49
Answer: D
Question: What is the difference between the place values of two fives in the numeral 7589452
Choices:
499950
500050
500000
50
Answer: A
Question: At the wholesale store you can buy an 8-pack of hot dogs for $1.75, a 20-pack for $3.05, and a 250-pack for $22.95. What is the greatest number of hot dogs you can buy at this store with $250?
Choices:
2,100
2,108
2,628
2,256
Answer: C
Question: An accurate clock shows 8 o'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?
Choices:
150
168
180
None
Answer: C
Question: For the infinite sequence of numbers a1, a2, a3, ..., an, ..., for all n > 1, an = an−1an−1 + 4 if n is odd and an = an−1 if n is even. What is the value of a1a1 if a34 = 68?
Choices:
11
12
13
21
Answer: D
Question: A and B can do a piece of work in 12 days and 16 days respectively. Both work for 3 days and then A goes away. Find how long will B take to complete the remaining work?
Choices:
7 days
4 days
9 days
2 days
Answer: C
Question: Patanjali 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: It takes Jack 2 more hours than Tom to type 20 pages. If working together, Jack and Tom can type 25 pages in 3 hours, how long will it take Jack to type 40 pages?
Choices:
6
8
10
12
Answer: D
Question: If cement, gravel and sand are to be mixed in 7:10:13 and 5 tons of cement is available how many tons of mixture can be produced assuming that sufficient gravel and sand is readily available.
Choices:
36
34 2/7
21 3/7
34 6/7
Answer: C
Question: The avg weight of A,B & C is 84 kg. If D joins the group, the avg weight of the group becomes 80 kg.If another man E who weights is 6 kg more than D Replaces A, Then the avgof B,C,D&E becomes 79 kg. What is the weight of A?
Choices:
65
75
78
90
Answer: C
Question: A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?
Choices:
1/5
3/5
4/5
None of them
Answer: A
Question: The average of thirteen numbers is 9. The average of first six numbers is 5 and the average of last six numbers is 7. What is the middle number?
Choices:
45
25
37
44
Answer: A
Question: [(5/2 ÷ 1/2 × 5/2)]/[(5/2 × 1/2 ÷ 5/2)] = ?
Choices:
25
18
16
14
Answer: A
Question: A man spent 1/5 of his loan amount on house construction and 1/4 of the remaining on his office renovation. How much fraction of the loan amount is he left with after spending on house and office renovation?
Choices:
3/5
5/4
1/5
4/3
Answer: A
Question: If a and b are different values and a – b = 6(√a - √b), then in terms of b, a equals:
Choices:
b
b - 12√b + 36
b + 2√b + 1
b^2 – 2b√b + b
Answer: B
Question: Kramer can pack X boxes of cigarettes per minute. If there are Y boxes of cigarettes in one case, how many cases can Kramer pack in 6 hours?
Choices:
360X/Y.
60Y/X.
120Y/X.
(X + Y)/60.
Answer: A
Question: The positive numbers w, x, y, and z are such that x is 30 percent greater than y, y is 20 percent greater than z, and w is 20 percent less than x. What percent greater than z is w ?
Choices:
16.0%
20.0%
23.2%
24.8%
Answer: B
Question: After three successive equal percentage rise in the salary the sum of 100 rupees turned into 140 rupees and 49 paise. Find the percentage rise in the salary.
Choices:
12%
66%
82%
77%
Answer: A
Question: A and B put in Rs.300 and Rs.400 respectively into a business. A reinvests into the business his share of the first year's profit of Rs.210 where as B does not. In what ratio should they divide the second year's profit?
Choices:
39:40
39:40
39:41
39:42
Answer: A
Question: If x > 5 and y < -5, then which of the following must be true ?
Choices:
x/y > 1
x/y < 0
x + y > 0
xy > 0
Answer: A
Question: When Greenville State University decided to move its fine arts collection to a new library, it had to package the collection in 20-inch by 20-inch by 15-inch boxes. If the university pays $0.70 for every box, and if the university needs 3.06 million cubic inches to package the collection, what is the minimum amount the university must spend on boxes?
Choices:
$357
$510
$1,250
$2,550
Answer: A
Question: In a family 13 people eat only vegetarian, 7 people eat only non veg., 8 people eat both veg and non veg.. How many people eat veg in the family?
Choices:
11
9
31
21
Answer: D
Question: Average weight of 10 people increased by 2.5 kg when one person of 45 kg is replaced by a new
man. Then weight of the new man is
Choices:
55
60
65
70
Answer: D
Question: If 10 men can reap 80 hectares in 24 days , then how many hectares can 36 men reap in 30 days?
Choices:
237
360
450
281
Answer: B
Question: 8, 27, 64, 100, 125, 216, 343
Choices:
100
290
102
293
Answer: A
Question: The rate of increase of the price of sugar is observed to be two percent more than the inflation rate expressed in percentage. The price of sugar, on January 1, 1994, is Rs. 24 per kg. The inflation rate for the years 1994 and 1995 are expected to be 20% each. The expected price of sugar on January 1, 1996 would be
Choices:
36.45
35.72
24.6
None of these
Answer: B
Question: A batsman makes a score of 87 runs in the 17th match and thus increases his average by 3. Find his average after 17th match
Choices:
37
38
39
40
Answer: C
Question: f(1)=1,where f(x+y)=f(x)+f(y)+8xy-2.then f(7)=?
Choices:
163
164
165
166
Answer: A
Question: A solution contains 8 parts of water for every 7 parts of Lemonade syrup. How many parts of the solution should be removed and replaced with water so that the solution will now contain 35% lemonade syrup?
Choices:
1.75
2.14
2.34
2.64
Answer: B
Question: If Ajay completes a certain work in 8 days and Vijay can complete the same work in 24 days, find the time in which the work will be completed if both Ajay and Vijay work together.
Choices:
6 days
2 days
7 days
1 days
Answer: A
Question: An accurate clock shows 8 o'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 1 o'clock in the afternoon?
Choices:
154°
160°
170°
150°
Answer: D
Question: A password of a computer used five digits where they are from 0 and 9. What is the probability that the password solely consists of prime numbers and zero?
Choices:
1/32
1/8
2/5
1/2
Answer: A
Question: A pupil's marks were wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half. The number of pupils in the class is
Choices:
40
28
12
19
Answer: A
Question: A shopkeeper buys mangoes at the rate of 4 a rupee and sells them at 3 a rupee. Find his net profit or loss percent?
Choices:
33 9/3 %
33 1/3 %
33 1/5 %
33 1/3 %
Answer: B
Question: A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12100 after a year?
Choices:
3630
3187
7288
2661
Answer: A
Question: On my sister's birthday, she was 154 cm in height, having grown 10% since the year before. How tall was she the previous year?
Choices:
140 cm
142 cm
148 cm
146 cm
Answer: A
Question: Triangle STV has sides ST = TV = 10, and SV = 12. What is the area?
Choices:
40
44
48
52
Answer: C
Question: A 240 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train?
Choices:
260
240
230
220
Answer: A
Question: I. a3 - 212 = 131,
II. b2 - 72 = -23 to solve both the equations to find the values of a and b?
Choices:
a ≥ b
a < b
a ≤ b
a = b or the relationship between a and b cannot be established.
Answer: A
Question: Jennifer had $60 to spend on herself. She spent 1/5 of the money on a sandwich, 1/6 for a ticket
to a museum, and 1/2 of it on a book. How much money does Jennifer have left over?
Choices:
$8
$5
$15
$0
Answer: A
Question: Two varieties of wheat - A and B costing Rs. 9 per kg and Rs. 15 per kg were mixed in the ratio 3 : 7. If 5 kg of the mixture is sold at 25% profit, find the profit made?
Choices:
16.59
16.53
16.5
16.55
Answer: C
Question: How many five-digit numbers can be formed from the digits 0, 1, 2, 3, 4, and 5, if no digits can repeat and the number must be divisible by 4?
Choices:
48
72
96
144
Answer: D
Question: By the how much is two-fifth of 100 greater than three -fifths of 25?
Choices:
25
5
30
None of these
Answer: A
Question: If |x|/|4| > 1, which of the following must be true?
Choices:
x<4
x=4
x!=4
x<-4
Answer: C
Question: A company that ships boxes to a total of 12 distribution centers uses color coding to identify each center. If either a single color or a pair of two different colors is chosen to represent each center and if each center is uniquely represented by that choice of one or two colors, what is the minimum number of colors needed for the coding? (assume that the order of colors in a pair does not matter)
Choices:
5
6
12
24
Answer: A
Question: Which greatest possible length can be used to measure exactly 12 meter 15 cm, 10 meter 15 cm and 10 meter 65 cm
Choices:
25cm
4cm
5cm
50cm
Answer: C
Question: Kramer can pack X boxes of cigarettes per minute. If there are Y boxes of cigarettes in one case, how many cases can Kramer pack in 3 hours?
Choices:
180X/Y.
60Y/X.
120Y/X.
(X + Y)/60.
Answer: A
Question: Divide Rs. 2379 into 3 parts so that their amounts after 2, 3 and 4 years respectively may be equal, the rate of interest being 5% per annum at simple interest. The first part is?
Choices:
Rs. 792
Rs. 818
Rs. 828
Rs. 838
Answer: C
Question: The ratio of two natural numbers is 5:6. If a certain number is added to both the numbers, the ratio becomes 7:8. If the larger number exceeds the smaller number by 10, find the number added?
Choices:
12
20
27
18
Answer: B
Question: David's Bank's saving amount is decreased 10% due to loan payment and current balance is Rs.90000. Find the actual balance before deduction?
Choices:
8500
9000
9500
100000
Answer: D
Question: Find the odd man out. 2, 3, 7, 11, 19, 32
Choices:
32
1
3
19
Answer: A
Question: A train leaves Mumabai at 9 am at a speed of 40 kmph. After one hour, another train leaves Mumbai in the same direction as that of the first train at a speed of 50 kmph. When and at what distance from Mumbai do the two trains meet?
Choices:
271
200
278
268
Answer: B
Question: Find value of X: (422+404)^2−(4×422×404)=X.
Choices:
267
324
356
577
Answer: B
Question: What is 30 % of 80?
Choices:
24
367
28
267
Answer: A
Question: A train approaches a tunnel AB. Inside the tunnel is a cat located at a point that is 3/8 of the distance AB measured from the entrance A. When the train whistles the cat runs. If the cat moves to the entrance of the tunnel A, the train catches the cat exactly at the entrance. If the cat moves to the exit B, the train catches the cat at exactly the exit. The speed of the train is greater than the speed of the cat by what order?
Choices:
3 : 1
5:1
None of these
Cannot be determined
Answer: A
Question: The first flight out of Phoenix airport had a late departure. If the next three flights departed on-time, how many subsequent flights need to depart from Phoenix on-time, for the airport's on-time departure rate to be higher than 50%?
Choices:
3
7
8
6
Answer: A
Question: The length of a rectangualr hll is 5m more than its breadth. The area of the hall is 750 m. The length of the hall is
Choices:
22.5 m
25 m
30 m
None
Answer: B
Question: Find the L.C.M of 12, 8, 24 and 16.
Choices:
48
80
44
140
Answer: A
Question: The Banker’s gain on a bill due 1 year hence at 12% per annum is Rs. 6. The true discount is:
Choices:
40
50
60
None
Answer: B
Question: A train covers a distance in 1 h 40 min, if it runs at a speed of 96 km/h on an average. Find the speed at which the train must run reduce the time of journey to 1 h 20 min.
Choices:
120 km/h
144 km/h
150 km/h
160 km/h
Answer: A
Question: A tortoise is making its way to eat a piece of lettuce at a constant speed. On its way to the lettuce, it takes 10 seconds to walk past a grain of sand. It then passes a piece of wood 20 cm long in 30 seconds to get to the lettuce. What is the length of the tortoise?
Choices:
5 cm
7.5 cm
9 cm
10 cm
Answer: D
Question: Stephanie, Regine, and Brian ran a 20 mile race. Stephanie and Regine's combined times exceeded Brian's time by exactly 2 hours. If nobody ran faster than 8 miles per hour, who could have won the race?
I. Stephanie
II. Regine,Brian
III.Regine
Choices:
II only
III only
I or II only
I, or III only
Answer: D
Question: Graph G has a line of symmetry of x = –1. Graph G passes through the point (3, 3). What is the x-coordinate of another point that must have a y-coordinate of 3?
Choices:
–7
–5
–4
2
Answer: B
Question: A certain tax rate is $.32 per $100.00. What is the rate, expressed as a percent?
Choices:
3.2%
0.82%
0.032%
0.32%
Answer: D
Question: If a is an integer greater than 2 but less than 11 and b is an integer greater than 11 but less than 21, what is the range of a/b?
Choices:
23/47
60/41
51/42
41/60
Answer: D
Question: A man swims downstream 48 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water?
Choices:
8
9
11
14
Answer: C
Question: A shopkeeper sold some articles @ 35 per article and earned a profit of 40%. At what price each article should have been sold so that 60% profit was earned?
Choices:
29
30
40
45
Answer: C
Question: The five sides of a pentagon have lengths of 2, 3, 4, 5 and 7 inches. Two pentagons are considered different only when the positions of the side lengths are different relative to each others. What is the total number of different possible pentagons that could be drawn using these five side lengths ?
Choices:
15
24
32
120
Answer: A
Question: The average of temperatures at noontime from Monday to Friday is 50; the lowest one is 42, what is the possible maximum range of the temperatures?
Choices:
25
40
45
86
Answer: D
Question: What is the place value of 7 in the numeral 55468?
Choices:
50
5000
55
500
Answer: B
Question: The temperatures in degrees Celsius recorded at a certain specific point in the evening in various parts of a country were 10°, 5°, -2°, -1°, -5°, 15°. What is the median of these temperatures?
Choices:
-1°C
2°C
3°C
5°C
Answer: B
Question: 10 books are placed at random in a shelf. The probability that a pair of books will always be together is ?
Choices:
1/2
1/5
1/5
1/3
Answer: B
Question: what is the sum of the first 18 odd natural numbers
Choices:
400
500
324
700
Answer: C
Question: A tap can fill a tank in 16 minutes and another can empty it in 8 minutes. If the tank is already 1/2 full and both the taps are opened together, will the tank be filled or emptied? How long will it take before the tank is either filled completely or emptied completely as the case may be? .
Choices:
Filled; 8 mins
Emptied; 12 mins
Filled; 12 mins
None of These
Answer: D
Question: A person want to give his money of $4500 to his 3 children A,B,C in the ratio 2:3:4. What is the B's share?
Choices:
$1500
$2500
$1800
$1600
Answer: A
Question: Scott's average (arithmetic mean) golf score on his first four rounds was 38.What score does he need on his fifth round to drop his average score by 2 points?
Choices:
28
78
88
312
Answer: A
Question: What is the units digit of 18! + 7 ?
Choices:
3
5
7
9
Answer: C
Question: Without stoppages a train travels a certain distance with an average speed of 80 km/h and with stoppages with an average speed speed of 60 km/h. How many minutes per hour does the train stops ?
Choices:
10 min
18 min
15 min
20 min
Answer: C
Question: 4,25,121,289,?
Choices:
445
515
529
645
Answer: C
Question: Half of 7 percent written as decimal is
Choices:
0.5
0.025
0.035
None of these
Answer: C
Question: There are 6 red balls and 4 blue balls in a jar. If 3 balls are selected from the jar, what is the probability that all 3 balls selected are blue balls?
Choices:
1/24
1/30
1/36
1/48
Answer: B
Question: The sum of money will be double itself in 20years and simple interest find rate of interest?
Choices:
5%
15%
20%
25%
Answer: A
Question: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?
Choices:
2.88
2.82
2.86
2.81
Answer: A
Question: P, Q and R have Rs.4000 among themselves. R has two-thirds of the total amount with P and Q. Find the amount with R?
Choices:
Rs.1600
Rs.2400
Rs.4000
None of these
Answer: A
Question: On Saturday morning, Malachi will begin a camping vacation and he will return home at the end of the first day on which it rains. If on the first three days of the vacation the probability of rain on each day is 0.9, what is the probability that Malachi will return home at the end of the day on the following Monday?
Choices:
0.009
0.488
0.512
0.64
Answer: A
Question: What is the value of 3x^2 − 1.6x + 0.3 for x = 0.8?
Choices:
0
0.3
0.94
2.46
Answer: C
Question: A certain list consists of 21 different numbers. If n is in the list and n is 2 times the average (arithmetic mean) of the other 20 numbers in the list, then n is what fraction of the sum of the 21 numbers in the list?
Choices:
1/6
1/11
4/21
5/21
Answer: B
Question: A = {2, 3, 5, 7, 19}
B = {2, 4, 6, 13}
Two integers will be randomly selected from sets A and B, one integer from set A and one from set B, and then multiplied together. How many different products can be obtained?
Choices:
32
19
20
36
Answer: A
Question: A person purchased a TV set for Rs. 1600 and a DVD player for Rs. 700 . He sold both the items together for Rs. 3500. What percentage of profit did he make?
Choices:
96.21%
52.17%
75.01%
23.00%
Answer: B
Question: Find three consecutive odd integers so that the sum of twice the first, the second
and three times the third is 152.
Choices:
23,25,27
25,28,31
30,33,35
29,31,35
Answer: A
Question: A girl borrows 65000 for 5 years at 5% p.a. simple interest. she immediately lends it to another person at 9 % p.a. for 5 years. Find her gain in the transaction per year.
Choices:
2600
2550
2650
3600
Answer: A
Question: A man walks from B to C, a distance of x miles, at 15 miles per hour and returns at 12 miles per hour. What is his average speed?
Choices:
13 mph
12 mph
13.3 mph
14 mph
Answer: C
Question: The speed of a subway train is represented by the equation z=s^2+2s for all situations where 0≤s≤7, where z is the rate of speed in kilometers per hour and s is the time in seconds from the moment the train starts moving. In kilometers per hour, how much faster is the subway train moving after 6 seconds than it was moving after 3 seconds?
Choices:
9
15
48
33
Answer: D
Question: Johnny borrows $30,000 from Tony at 2% daily interest compounded daily. How much does Johnny owe Tony after 8 weeks?
Choices:
30000*1.12
30000*2.12
30000*1.02^56
(30000*1.02)^56
Answer: C
Question: A tree is 12 m tall and casts an an 8 m long shadow. At the same time, a flag pole caste a 100 m long shadow. How long is the flag pole ?
Choices:
150 m
125 m
115 m
None
Answer: A
Question: At what rate percent per annum will a sum of money double in 16years?
Choices:
3.65%
6.25%
8.32%
11%
Answer: B
Question: The organizers of a week-long fair have hired exactly six security guards to patrol the fairgrounds at night for the duration of the event. Exactly two guards are assigned to patrol the grounds every night, with no guard assigned consecutive nights. If the fair begins on a Monday, how many different pairs of guards will be available to patrol the fairgrounds on the following Saturday night?
Choices:
6
5
3
2
Answer: A
Question: The sum of even numbers between 1 and 31 is:
Choices:
240
520
879
456
Answer: A
Question: The two lines y = x and x = -4 intersect on the coordinate plane. If z represents the area of the figure formed by the intersecting lines and the x-axis, what is the side length W of a cube whose surface area is equal to 6z?
Choices:
W=8√2
W=8
W=2√2
(√2)/3
Answer: C
Question: In a certain corporation, there are 300 male employees and 100 female employees. It is known that 20% of the male employees have advanced degrees and 40% of the females have advanced degrees. If one of the 400 employees is chosen at random, what is the probability this employee has an advanced degree or is female?
Choices:
1/10
1/5
2/5
3/4
Answer: C
Question: The ratio between the speeds of two trains is 5: 7. If the second train runs 840 kms in 6 hours, then the speed of the first train is ?
Choices:
120 km/hr
100 km/hr
110 km/hr
None of these
Answer: B
Question: A gang of 8 boys goes on an tour in 2 cars, of which 1 canseat 5 & the other only 4. In how many ways can they travel?
Choices:
114
126
154
157
Answer: B
Question: Excluding the stoppages, the speed of a bus is 32 km/hr and including the stoppages the speed of the bus is 16 km/hr. For how many minutes does the bus stop per hour?
Choices:
10 min
12 min
30 min
18 min
Answer: C
Question: From the given equation find the value of c: cÂ²-3c-10
Choices:
3
5
2
-5
Answer: B
Question: Walking at 5/6th of its usual speed a cab is 5mnts late. Find its usual time to cover the journey?
Choices:
25m
32m
50m
62m
Answer: A
Question: A fair coin is tossed repeatedly. If heads appears on first 6 tosses what is the probability that tail appears on the next two tosses?
Choices:
1/5
1/3
1/4
1/6
Answer: C
Question: A and B go around a circular track of length 600 m on a cycle at speeds of 18 kmph and 48 kmph. After how much time will they meet for the first time at the starting point?
Choices:
176 sec
360 sec
187 sec
189 sec
Answer: B
Question: If 6 and 8 are factors of 60n, what is the minimum value of n?
Choices:
4
7
14
56
Answer: A
Question: How many 3-digit numerals begin with a digit that represents a prime and end with a digit that represents a odd prime number?
Choices:
120
160
180
240
Answer: A
Question: If a - b = 6 and a2 + b2 = 50, find the value of ab.
Choices:
A)7
C)15
D)18
E)20
Answer: A
Question: There are 15 points in a given plane, no three of which are on the same line. If one of the points is represented as 'S', then how many triangles can be determined with the 15 points that contain the point S?
Choices:
105
182
210
455
Answer: B
Question: If a:b=5:6 and b:c=2:3 find a:b:c?
Choices:
5:9:3
9:5:6
5:9:6
5:6:9
Answer: D
Question: A train running at the speed of 50 km/hr crosses a post in 4 seconds. What is the length of the train?
Choices:
120
60
95
75
Answer: B
Question: A can do a piece of work in 15 days and B in 20 days. They began the work together but 5 days before the completion of the work, A leaves. The work was completed in?
Choices:
10 days
15 days
11 3/7 days
None of these
Answer: C
Question: If log 2 = 0.30103, the number of digits in 520 is
Choices:
14
18
25
26
Answer: A
Question: 60 litres of diesel is required to travel 600 km using a 800 cc engine. If the volume of diesel required to cover a distance varies directly as the capacity of the engine, then how many litres of diesel is required to travel 800 km using 1200 cc engine?
Choices:
90 litres
120 litres
170 litres
None of these
Answer: B
Question: If 2^z is a factor of 26!, 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: B
Question: Find the missing number
5 : 24 :: 8 : ?
Choices:
62
63
64
65
Answer: B
Question: What should be the least number to be added to the 3198 number to make it divisible by 8?
Choices:
17
2
77
26
Answer: B
Question: In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the rate in the remaining 40 overs to reach the target of 292 runs?
Choices:
6.5
6.29
6.39
6.13
Answer: A
Question: A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:
Choices:
Rs. 690
Rs. 698
Rs. 700
Rs. 740
Answer: B
Question: In how many years will a sum of money doubles itself at 25% per annum on simple interest?
Choices:
4%
10%
12%
15%
Answer: A
Question: Entry fee in an exhibition was Rs. 1. Later, this was reduced by 25% which increased the sale by 20%. The percentage increase in the number of visitors is :
Choices:
37
60
28
27
Answer: B
Question: If 8 persons can do 8 times of a particular work in 8 days, then, 9 persons can do 9 times of that work in?
Choices:
4 days
6 days
7 days
8 days
Answer: D
Question: Consider two statements
Statement 1 => If R is an integer and R=2p+1 where p is not an integer.
Statement 2 => If S is an integer and S=2q where q is not an integer
Which of the following correctly specifies the Even/Odd nature of R and S respectively
Choices:
2) Odd,Odd
3) Even,Odd
4) Even,Even
5) Cannot be determined
Answer: D
Question: A die is thrown twice and the sum of the numbers appearing is observed to be 6.
find the conditional probability that the number 4 has appeared at least once?
Choices:
1/5
2/5
3/5
3/7
Answer: B
Question: If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is -
Choices:
6/13
3/13
4/13
1/13
Answer: C
Question: Ben
ips a fair coin repeatedly. Given that Ben's first coin
ip is heads, compute the probability
Ben
ips two heads in a row before Ben
ips two tails in a row.
Choices:
2/3
1/3
1/1
2/2
Answer: A
Question: Suppose 5 monkeys take 5 minutes to eat 5 bananas. How many monkeys would it take to eat 15 bananas in 15 minutes?
Choices:
10
11
5
13
Answer: C
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 11.6 the sixth number is?
Choices:
11.3
11.8
11.5
12.7
Answer: D
Question: A cask is filled with alcohol and water in the ratio 5”3 Sixteen gallons of this are drawn off and the cask is filled with water and then the proportion of alcohol to water becomes 3:5 How many gallons does the cask hold ?
Choices:
36
38
40
42
Answer: C
Question: The average weight of 19 students is 15kg. by the admission of a new student the average weight is reduced to 14.7 kg. the weight of the new student is ?
Choices:
10.8 kg
11 kg
14.9 kg
None
Answer: D
Question: There are 5 men and 11 women. In how many ways one can select a group of 6 with at-least 3 men?
Choices:
1933
1934
1935
1936
Answer: D
Question: The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 22 years. The present age of the husband is
Choices:
36
45
55
65
Answer: A
Question: Sand is poured into a box so that the box is being filled at the rate of 3 cubic feet per hour. If the empty rectangular box is 5 feet long, 4 feet wide, and 3 feet deep, approximately how many hours does it take to fill the box?
Choices:
16
18
20
22
Answer: C
Question: The present worth of a certain sum due sometime hence is Rs. 3400 and the true discount is Rs. 340. The banker's gain is:
Choices:
Rs. 17
Rs. 18
Rs. 34
None of these
Answer: C
Question: A woman complete a journey in 5 hours. She travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.
Choices:
216 km.
112 km.
224 km.
544 km.
Answer: B
Question: 10, 25, 45, 54, 60, 75, 80
Choices:
45
49
54
75
Answer: B
Question: P and Q are the only two applicants qualified for a short-term research project that pays 480 dollars in total. Candidate P has more experience and, if hired, would be paid 50 percent more per hour than candidate Q would be paid. Candidate Q, if hired, would require 10 hours more than candidate P to do the job. Candidate P’s hourly wage is how many dollars greater than candidate Q’s hourly wage?
Choices:
$8
$11
$14
$17
Answer: A
Question: A semicircular shaped window has diameter of 63cm. Its perimeter equals
Choices:
162
298
277
198
Answer: A
Question: Among 700people, 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
186
210
Answer: D
Question: Arithmetic mean and standard deviation of a certain normal distribution are 13.5 and 0.5. What value is exactly 2 standard deviations less than the mean?
Choices:
11
11.5
12
12.5
Answer: D
Question: The average age of the mother and her six children is 10 years which is reduced by 5 years if the age of the mother is excluded. How old is the mother?
Choices:
40
42
43
44
Answer: A
Question: Today Jim is four times as old as Fred, and Sam is 2 years younger than Fred. Four years ago Jim was 9 times as old as Sam. How old is Jim now?
Choices:
12
16
20
40
Answer: D