antoine-444/aqua_rat_dataset huggingface dataset:
Question: If a2 - b2 =11 and a*b = 5, find a4 + b4.
Choices:
181
170
171
50
Answer: C
Question: What number should replace the question mark?
16, 23, 19, 22, 15, 25, ?
Choices:
18
11
22
26
Answer: B
Question: At 1:00 pm, there were 10.0 grams of bacteria. The bacteria increased to x grams at 4:00 pm, and 16.9 grams at 7:00 pm. If the amount of bacteria present increased by the same fraction during each of the 3-hour periods, how many grams of bacteria were present at 4:00 pm?
Choices:
13.0
13.6
13.9
14.2
Answer: A
Question: In a certain Gun shooting competition prizes were awarded as follows: the first place winner receives 11 points, the second place winner receives 7 points, the third place winner receives 5 points and the fourth place winner receives 2 points . No other points were awarded. John participated several times in the competition. The product of all the points he received was 84700. How many times did he participate in the competition.
Choices:
5
3
2
cannot be determined
Answer: D
Question: If each of 3 digit code is formed of integers from 1 to 25, inclusively, and each of the digits are different, how many possible codes are there?
Choices:
13500
13400
13800
13900
Answer: C
Question: The area of the square formed on the diagonal of a rectangle as its side is 108 1/3 % more than the area of the rectangle. If the perimeter of the rectangle is 28 units, find the difference between the sides of the rectangle?
Choices:
4
5
2
7
Answer: C
Question: On a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. On both days, all the orangeade that was made was sold. If the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $0.82 per glass on the first day, what was the price per glass on the second day?
Choices:
$0.20
$0.30
$0.40
$0.55
Answer: D
Question: A car starts 2/5 of a mile behind a bus that is traveling at 60 miles per hour. If the car catches up to the bus after 2 minutes, how many miles does the car travel in that time?
Choices:
2 2/5
2 1/2
2 7/8
3
Answer: A
Question: A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
Choices:
27 seconds
40 seconds
128 seconds
18 seconds
Answer: B
Question: Find the odd man out
74, 24, 82, 61, 10, 4
Choices:
61
10
82
74
Answer: A
Question: Tracey sold her house for 40 percent more than the amount that she bought it for. If she has to pay a brokerage fee of 5 percent of the selling price of the home, and then has to pay 40 percent of the leftover profit in taxes, what is the net after-tax percent profit Tracey makes on the sale?
Choices:
14.4%
16%
19.8%
21%
Answer: C
Question: If the ratio of the roots of the equation 16x2+px-32=0 is equal to that of the roots 8x2+rx-16=0, then:
Choices:
2r=p
2p=r
3p=2r
None
Answer: A
Question: A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
Choices:
150m
180m
158m
350m
Answer: A
Question: There are 13 hearts in a full deck of 52 cards. In a certain game, you pick a card from a standard deck of 52 cards. If the card is a heart, you win. If the card is not a heart, the person replaces the card to the deck, reshuffles, and draws again. The person keeps repeating that process until he picks a heart, and the point is to measure how many draws it took before the person picked a heart and, thereby, won. What is the probability that one will pick the first heart on the third draw or later?
Choices:
9/16
11/16
13/16
15/16
Answer: A
Question: The value of {(.87)3 + (.13)3 + .87 × .39}0.5 is:
Choices:
1
0
3
4
Answer: A
Question: The difference between simple and compound interests on a certain sum for 2 years at 4% per annum is Rs.50. The sum is
Choices:
Rs.25,000
Rs.31,250
Rs.38,000
Rs.48,000
Answer: B
Question: The sum of two consecutive even integers is 26. What are the two numbers?
Choices:
14
16
17
18
Answer: A
Question: How many batteries will remain unboxed if in a factory that manufactures batteries 2 types of boxes are used to store batteries. the bigger box can store 25 batteries while the smaller box can store 18 batteries. The total number of batteries to be stored is 217.
Choices:
0
2
7
5
Answer: A
Question: A packet of 10 electronic components is known to include 3 defectives. If 4 components are randomly chosen and tested, what is the probability of finding among them not more than one defective component.
Choices:
0.6517
0.4483
None of these
Cannot be determined
Answer: A
Question: The average age of a husband and a wife is 23 years when they were married five years ago but now the average age of the husband, wife and child is 22 years(the child was born during the interval). What is the present age of the child?
Choices:
5
10
4
2
Answer: B
Question: The area of a parallelogram is 200sq m and its altitude is twice the corresponding base. Then the length of the base is?
Choices:
9
7
10
5
Answer: C
Question: The sum of three integers is 19. The largest integer is 3 times the middle integer, and the smallest integer is 9 less than the largest integer. What is the product of the three integers?
Choices:
144
156
168
180
Answer: A
Question: Which is the smallest fraction:
Choices:
9/11
5/4
5/7
6/7
Answer: C
Question: What is the length of the diagonal of a square whose area is 4 times of another square with diagonal as 5v2 cm?
Choices:
10
10v2
20
25
Answer: B
Question: The largest four digit number which is a perfect cube, is:
Choices:
8000
9261
9999
None of these
Answer: B
Question: A large box contains 15 small boxes and each small box contains 25 chocolate bars. How many chocolate bars are in the large box?
Choices:
B)490
C)375
D)450
E)690
Answer: B
Question: A person distributed 15% of his income to his 3 children each. He deposited 30% of his income to his wife's account. He donated 10% of remaining amount to an orphan house.Finally he has $40000. Find his total income?
Choices:
A)266666.7
C)800000
D)500000
E)652000
Answer: A
Question: In a maths test, students were asked to find 5/16 of a certain number. One of the students by mistake found 5/6th of that number and his answer was 100 more than the correct answer. Find the number.
Choices:
192
384
400
500
Answer: A
Question: One day Eesha started 30 min late from home and reached her office 50 min late while driving 25% slower than her usual speed. How much time in min does eesha usually take to reach her office from home?
Choices:
60
99
17
18
Answer: A
Question: A dealer originally bought 70 identical batteries at a total cost of q dollars. If each battery was sold at 50 percent above the original cost per battery, then, in terms of q, for how many dollars was each battery sold?
Choices:
3q/140
105q
q/70
105/q
Answer: A
Question: A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream?
Choices:
30/29
30/12
30/13
30/82
Answer: C
Question: X can finish a work in 18 days. Y can finish the same work in 15 days. Yworked for 5 days and left the job. how many days does X alone need to finish the remaining work?
Choices:
12
6
8
9
Answer: A
Question: A tank can supply water to a village for 30 days. If a leak at the bottom of the tank drains out 15 liters per day, the supply lasts for 20 days only. For how many days will the supply last if the leak drains out 20 liters per day?
Choices:
14
15
16
18
Answer: D
Question: If the least common addition of two prime numbers x and y is 10, where x > y, then the value of 2x + y is
Choices:
9
14
17
21
Answer: C
Question: Two trains, each 100 m long, moving in opposite directions, cross other in 15 sec. If one is moving twice as fast the other, then the speed of the faster train is?
Choices:
66 km/hr
60 km/hr
67 km/hr
32 km/hr
Answer: D
Question: The area of the floor of a class room is 10 m2 that of a longer wall 15 m2 and of the shorter wall 6 m2, find the edge of the new cube?
Choices:
30 m2
60 m3
40 m3
900 m3
Answer: A
Question: If x is an integer and 1 ≤ x ≤ 100, what is the probability that x(x + 1) is a multiple of 12 and 9?
Choices:
1/25
2/25
11/100
1
Answer: A
Question: The ratio of the present age of Viju to that of Aju is 7:2. Four years from now, the ratio of the ages of Viju to Aju will be 5:2. What was Viju age 3 years ago ? (RBI Assistant 2015)
Choices:
20
12
15
18
Answer: D
Question: If log4 (x) = 12 , then log2 (x/4) is equal to what?
Choices:
21
31
11
22
Answer: D
Question: 100 identical coins each with probability 'pp' showingup heads & tossed. If 0
Choices:
23/321
51/101
55/413
47/321
Answer: B
Question: Cricket match is conducted in US. The run rate of a cricket game was only 3.2 in first 10 over. What should be the run rate in the remaining 40 overs to reach the target of 272 runs?
Choices:
6
7.25
7.5
8
Answer: A
Question: When 15 is subtracted from a number, it reduces to seven-twelve of the number. What is the sum of the digit of the number
Choices:
24
36
48
45
Answer: B
Question: From the integer n, if n*n*n is odd, then what is true from below options?
Choices:
n is odd and n*n is even
n is odd
n is even
n*n is odd
Answer: A
Question: 860% of 50 + 50% of 860 =?
Choices:
516
660
860
None
Answer: C
Question: The sum of first 45 natural numbers is:
Choices:
1035
1040
1045
1050
Answer: A
Question: Mira 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 Mira must purchase to make a set of telescopes with no leftover components other than the unusable lenses?
Choices:
150
1800
700
7,500
Answer: B
Question: The difference between the simple interest received from two different sources on Rs. 1500 for 3 years is Rs. 13.50. The difference between their rates of interest is
Choices:
B)2.6%
C)2.0%
D)0.3%
E)1.3%
Answer: C
Question: A restaurant meal cost $40 and there was no tax. If the tip was more than 12 percent but less than 13 percent of the cost of the meal, then the total amount paid must have been between
Choices:
$39 and $41
$38 and $40
$44 and $45
$36 and $37
Answer: C
Question: A meal cost $ 35.50 adn there was no tax. If the tip was more than 15 pc but less than 25pc of the price, then the total amount paid should be:
Choices:
41-44
38-40
37-39
36-37
Answer: A
Question: One half of a two digit number exceeds its one third by 4. What is the sum of the digits of the number?
Choices:
6
11
12
15
Answer: A
Question: It takes 6 beavers 10 hours to build a certain dam, working at a uniform rate. If seven beavers start to build the same dam at noon, and one beaver per hour is added beginning at 6:00 PM, at what time will the dam be complete?
Choices:
7:48 PM
8:06 PM
8:32 PM
9:12 PM
Answer: B
Question: A train crosses a platform of 160 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
Choices:
110
167
197
161
Answer: A
Question: Mahesh marks an article 15% above the cost price of Rs. 540. What must be his discount percentage if he sells it at Rs. 496.80?
Choices:
88
20
88
62
Answer: B
Question: A man can swim in still water at 15 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
Choices:
5
5.3
1.5
5.2
Answer: A
Question: The total of company C's assets in 1994 was 200% greater than the total in 1993, which in turn was 400% greater than the total in 1992. If the total of company C's assets in in 1992 was N dollars, which one of the following represents company C's assets in 1994:
Choices:
8N
9N
15
20
Answer: C
Question: Four car rental agencies A, B, C and D rented a plot for parking their cars during the night. A parked 15 cars for 12 days, B parked 12 cars for 20 days, C parked 18 cars for 18 days and D parked 16 cars for 15 days. If A paid Rs. 1215 as rent for parking his cars, what is the total rent paid by all the four agencies?
Choices:
Rs. 4800
Rs. 5250
Rs. 6642
None of these
Answer: C
Question: How many 5 digit nos are there if the 2 leftmost digits are odd and the digit 4 can't appear more than once in the number ?
Could someone please provide a solution using a approach other than ( 1-x(none)) approach?
Choices:
24300
26500
24400
26300
Answer: A
Question: 40!^40! will end in how many zeroes?
Choices:
8 x 40!
9 x 40!
8^40!
9^40!
Answer: D
Question: At a particular pizza shop, a pizza can be created from any combination of 6 different types of spice, 7 different types of meat, among which are pepperoni and anchovies, and 4 different types of cheese. If a customer at the shop decides to order a pizza with 1 type of spice, 2 types of cheese, and 4 types of meat but without pepperoni and anchovies together, how many possible ways to garnish the pizza are available to the customer?
Choices:
35
120
450
900
Answer: D
Question: You collect baseball cards. Suppose you start out with 19. Maria takes half of one more than the number of baseball cards you have. Since you're nice, you give Peter 1 baseball card. Since his father makes baseball cards, Paul decides to triple your baseball cards. How many baseball cards do you have at the end?
Choices:
18
19
20
24
Answer: D
Question: A baseball team won 35 percent of the first 80 games it played. How many of the remaining 82 games will the team have to win in order to have won exactly 50 percent of all the games it played?
Choices:
45
53
55
81
Answer: B
Question: What is the probability that a 4 person committee chosen at random from a group consisting of 6 men, 7 women, and 2 children contains exactly 1 woman?
Choices:
56/195
11/77
308/1411
22/832
Answer: A
Question: By selling an article at Rs.800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 40%?
Choices:
s.480
s.429
s.128
s.384
Answer: D
Question: A wooden cube whose edge length is 9 inches is composed of smaller cubes with edge lengths of one inch. The outside surface of the large cube is painted red and then it is split up into its smaller cubes. If one cube is randomly selected from the small cubes, what is the probability that the cube will have at least one red face?
Choices:
52.9%
58.3%
61.7%
64.5%
Answer: A
Question: If two of the four expressions a+b, 3a+b, a-b, and a-3b are chosen at random, what is the probability that their product will be of the form of a^2 + kb^2, where k is a positive integer?
Choices:
1/6
1/4
1/3
1/2
Answer: A
Question: The perimeter of a triangle is 44 cm and the in radius of the triangle is 2.5 cm. What is the area of the triangle?
Choices:
88
66
55
35
Answer: C
Question: If a and b are Positive Integers and a<b, b is not equal to zero, which of the following can give NEGATIVE answer?
Choices:
ab
a/2+b/2
a-b
a^2+b^2
Answer: C
Question: John was thrice as old as Tom 6 yrs back. He will be 5/3 times as old as Tom 6 years hence. How old is Tom today?
Choices:
11
12
15
16
Answer: B
Question: A single discount equivalent to the discount series of 20%, 12% and 5% is?
Choices:
31.0
31.6
33.12
31.5
Answer: C
Question: Calculate how long it will take a swimmer to swim a distance of 3km against the current of a river which flows at 1.7km/hr, given that he can swim in still water at 3km/h
Choices:
2.31
1.31
4.31
3.31
Answer: A
Question: Find the odd man out. 3, 5, 15, 75, 1120, 84375
Choices:
1120
15
3
75
Answer: A
Question: A company, Chauncy Co., has an annual travel budget of $53,000. The accounting department estimates that transportation expenses will increase 5 percent in the coming year, and nontransportation travel expenses will increase by 15 percent in the coming year. Last year, Chauncy Co. spent $19,500 on transportation-related expenses, and $35,000 on nontransportation travel expenses. If the annual travel budget does not increase this year, and if the accounting department’s estimates are correct, how far over the annual travel budget will expenses be this year?
Choices:
$500
$4,225
$7,725
$60,725
Answer: C
Question: The forth proportional to 10,20,30 is?
Choices:
60
45
75
100
Answer: A
Question: If â€œ*â€ is called â€œ+â€, â€œ/â€ is called â€œ*â€, â€œ-â€ is called â€œ/â€, â€œ+â€ is called â€œ-â€. 120/40 â€“ 30 * 20 - 5 = ?
Choices:
156.6
160.4
163.6
164.1
Answer: C
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 120 m and they cross each other in 12 sec, then the speed of each train is?
Choices:
18
36
72
64
Answer: B
Question: .003/?= .01
Choices:
.3
.009
.0009
None of them
Answer: A
Question: Find the fourth proportion to 2,4,6
Choices:
12
9
6
8
Answer: A
Question: A man takes 6 hours 15 minutes in walking a distance and riding back to the starting place. He could walk both ways in 7 hours 45 minutes. The time taken by him to ride both ways, is
Choices:
4 hours 30 minutes
4 hours 45 minutes
5 hours
6 hours
Answer: B
Question: In a psychology school the grade of the students is determined by the following method: At the end of the first year the grade equals to twice the age of the student. From then on, the grade is determined by twice the age of the student plus half of his grade from the previous year. If Joey's grade at the end of the first year is 40, what will be his grade at the end of the third year?
Choices:
75
76
77
78
Answer: A
Question: Find smallest prime number is:
Choices:
13
14
18
42
Answer: A
Question: The radius of a cylindrical vessel is 7cm and height is 2cm. Find the whole surface of the cylinder?
Choices:
396
440
767
1981
Answer: A
Question: What is the median from the below series 90, 92, 93, 88, 95, 88, 97, 87, and 98
Choices:
79
92
94
95
Answer: B
Question: A rectangle having length 140 cm and width 40 cm. If the length of the rectangle is increased by thirty percent then how much percent the breadth should be decreased so as to maintain the same area.
Choices:
17.64%
40%
75%
None of these
Answer: A
Question: A number increased by 30% gives 650. The number is?
Choices:
300
400
500
600
Answer: C
Question: Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 sec. What is the length of the fast train?
Choices:
23 2/9 m
27 m
27 7/9 m
28 m
Answer: C
Question: In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is:
Choices:
2
3
4
5
Answer: D
Question: There are two inlets and one outlet to a cistern. One of the inlets takes 5/2hours to fill up the cistern and the other inlet takes twice as much time to fill up the same cistern. Both of the inlets are turned on at 9:00 AM with the cistern completely empty, and at 10:30AM, the outlet is turned on and it takes 1 more hour to fill the cistern completely. How much time does the outlet working alone takes to empty the cistern when the cistern is full?
Choices:
2 hours
3 hours
3.5 hours
4 hours
Answer: A
Question: What is the next number: 3, 27, 627, __
Choices:
9837
11,497
15,627
19,307
Answer: C
Question: There are 6561 balls out of them 1 is heavy.Find the min. no. of times the balls have to be
weighed for finding out the haevy ball.
Choices:
8
9
10
11
Answer: A
Question: A rectangular ground is to be filled with square tiles of unit area. The border of the ground should be of red coloured tiles and inside white. If the number of red and white tiles are the same, find the minimum dimensions of the ground.
Choices:
45
46
47
48
Answer: D
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?
Choices:
1/455
1/457
1/454
1/451
Answer: A
Question: Carmen made a sculpture from small pieces of wood. The sculpture is 2 feet 6 inches tall.Carmen places her sculpture on a base that is 12 inches tall. How tall are the sculpture andbase together?
Choices:
3.2 feet
3.3 feet
3.4 feet
3.83 feet
Answer: D
Question: One train is travelling 45 kmph and other is at 10 meters a second. Ratio of the speed of the two trains is?
Choices:
5:7
5:4
7:2
8:5
Answer: B
Question: A person walking 5/6 of his usual rate is 40 minutes late. What is
his usual time?
Choices:
3 hrs 20 min
5 hrs 20 min
6 hrs 20 min
3 hrs 30 min
Answer: A
Question: The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?
Choices:
14 cm
18 cm
20 cm
15 cm
Answer: B
Question: 217 * 217 + 183 * 183
Choices:
82578
80578
80568
89045
Answer: B
Question: In how many ways Chief Minister and Minister be elected from a team of 13 members?
Choices:
131
132
145
156
Answer: D
Question: Which of the following is closest in value to (9^11)-(9^2)?
Choices:
9^8
9^7
9^6
9^11
Answer: D
Question: Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?
Choices:
10
15
16
17
Answer: C
Question: Income and expenditure of a person are in the ratio 10 : 7. If the income of the person is Rs. 10000, then find his savings?
Choices:
3098
3300
3010
3000
Answer: D
Question: Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years. What is definitely the difference between R and Q's age?
Choices:
17
13
50
27
Answer: C
Question: What is the lowest possible common multiple of 2 distinct integers, each greater than 130?
Choices:
131*132
131*131
262
132
Answer: C
Question: One side of a rectangle is 3 cm shorter than the other side. If we increase the length of each side by 1 cm, then the area of the rectangle will increase by 22 cm2. Find the lengths of all sides.
Choices:
7 and 10
10 and 7
3 and 10
12 and 9
Answer: D
Question: A man covered a certain distance at some speed. Had he moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. The distance (in km) is:
Choices:
36 2/3
37 1/2
40
45
Answer: C
Question: The average of seven numbers is 15. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?
Choices:
6
31
34
35
Answer: A
Question: A fast food company plans to build 5 new restaurants. If there are 14 sites that satisfy the company's criteria for location of new restaurant, in how many different ways can company select the 5 sites needed for the new restaurant if the order of selection doesn't matter.
Choices:
2002
495
1532
395
Answer: A
Question: The ratio of the cost price and the selling price is 4:5. The profit percent is:
Choices:
77
25
66
711
Answer: B
Question: In a certain game of dice, the player’s score is determined as a sum of two throws of a single die. The player with the highest score wins the round. If more than one player has the highest score, the winnings of the round are divided equally among these players. If Jim plays this game against 21 other players, what is the probability of the minimum score that will guarantee Jim some monetary payoff?
Choices:
1/221
1/216
1/36
1/42
Answer: C
Question: What least number must be added to 1120, so that the sum is completely divisible by 23 ?
Choices:
4
5
6
7
Answer: D
Question: A sum of Rs 468.75 was lent out at simple interest and at the end of 1 year and 8 months, the total amount of Rs 500 is received. find the rate of interest?
Choices:
4%
5%
6%
7%
Answer: A
Question: A was born when B was 1 year and 3 months old. C was born when A was 2 years 1 month old. What is the age of B when C is 4 years and 6 months old?
Choices:
6 yr 10 month
7 yr 11 month
7 yr 10 month
8 yr 10 month
Answer: C
Question: Y and Z started a business investing Rs. 10,000 and Rs. 15,000 respectively. Out of a total profit of Rs. 5,000, Z’s share is :
Choices:
3000
3600
3900
4200
Answer: A
Question: Machine A can process 6000 envelopes in 3 hours. Machines B and C working together but independently can process the same number of envelopes in 2.5 hours. If Machines A and C working together but independently process 3000 envelopes in 1 hour, then how many hours would it take Machine B to process 7000 envelopes.
Choices:
3
4
5
60/7
Answer: C
Question: The triplicate ratio of 1:5 is?
Choices:
1:8
1:3
1:1
1:125
Answer: D
Question: The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is?
Choices:
6
1
5
2
Answer: A
Question: If Yury has been writing programming code for 12 hours at a rate of 5 lines of code per 20 seconds, how many lines of code has he written?
Choices:
126(10^3)
12.6(10^5)
108(10^2)
.126(10^9)
Answer: C
Question: There are 36 students in a certain geometry class. If two thirds of the students are boys and three fourths 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: B
Question: A magician has five animals in his magic hat: 3 doves and 2 rabbits. If he pulls two animals out of the hat at random, what is the chance X that he will have a matched pair?
Choices:
X=2/5
X=1/5
1/2
7/5
Answer: A
Question: Two trains each 250 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 40 kmph respectively. In what time will they cross each other completely?
Choices:
15 sec
12 sec
10 sec
11 sec
Answer: A
Question: In shop contains 500 articles each of a cost of $10. He sold them at a price of $15. If the shop keeper has a order of 200 articles, how much profit he will get?
Choices:
B)2000
C)1500
D)1000
E)600
Answer: C
Question: A bag contains 12 red marbles. If someone were to remove 2 marbles from the bag, one at a time, and replace the first marble after it was removed, the probability that neither marble would be red is 36/49. How many marbles are in the bag?
Choices:
48
84
72
80
Answer: B
Question: What is the smallest positive perfect square that is divisible by 9, 15, and 25?
Choices:
225
900
1,600
4,900
Answer: A
Question: 10 play kabadi, 25 play kho kho only, 5 play both gmaes. Then how many in total?
Choices:
35
38
40
45
Answer: A
Question: The area of a parallelogram is 98sq m and its altitude is twice the corresponding base. Then the length of the base is?
Choices:
9
7
62
2
Answer: B
Question: A certain amount earns simple interest of Rs. 1750 after 6 years. Had the interest been 2% more, how much more interest would it have earned?
Choices:
Rs. 35
Rs. 245
Cannot be determined
None of these
Answer: C
Question: Twenty percent of Country Y's yearly exports come from fruit exports. One-fourth of all fruit exports from Country Y are orange exports. If country Y generates $20 million from its orange exports, how much money does it generate from its yearly total of exports?
Choices:
$25.5m
$106.25m
$400m
$153m
Answer: C
Question: The present population of a town is 240. Population increase rate is 10% p.a. Find the population of town after 1 years?
Choices:
120
200
220
264
Answer: D
Question: The average of runs of a cricket player of 10 innings was 34. How many runs must he make in his next innings so as to increase his average of runs by 4 ?
Choices:
78
85
87
89
Answer: A
Question: In one can of mixed nuts, 60% is peanuts. In another can of mixed nuts that is one-half the size of the first one, 40% is peanuts. If both cans are emptied into the same bowl, what percentage of the mixed nuts in the bowl is peanuts?
Choices:
20%
25%
53 1/3%
35%
Answer: C
Question: The difference between compound interest and simple interest on a sum for two years at 8% per annum, where the interest is compounded annually is Rs.16. if the interest were compounded half yearly , the difference in two interests would be nearly
Choices:
24.64
24.62
24.6
24.61
Answer: A
Question: If the quantity 8^2+ 8^4 + 8^6 is written as (a + b)(a – b), in which both a and b are integers, which of the following could be the value of b?
Choices:
64
49
29
37
Answer: A
Question: A train running at a speed of 36 kmph crosses an electric pole in 12 seconds. In how much time will it cross a 370 m long platform?
Choices:
27
29
47
49
Answer: D
Question: The prime sum of an integer n greater than 1 is the sum of all the prime factors of n, including repetitions. For example , the prime sum of 12 is 7, since 12 = 2 x 2 x 3 and 2 +2 + 3 = 7. For which of the following integers is the prime sum greater than 30 ?
Choices:
512
550
620
750
Answer: C
Question: A, B and C enter into a partnership investing Rs 35000, Rs 45000 and Rs 55000 resp. The respective share of A,B and C in an annual profit of Rs 40500 are.
Choices:
Rs. 10500, Rs. 12500, Rs. 16500
Rs. 10500, Rs. 13500, Rs. 15500
Rs. 10500, Rs. 13500, Rs. 16500
None of these
Answer: C
Question: Employees of a certain company are each to receive a unique 5-digit identification code consisting of the digits 0, 1, 2, 3, and 4 such that no digit is used more than once in any given code. In valid codes, the second digit in the code is exactly twice the first digit. How many valid codes are there?
Choices:
12
14
16
18
Answer: A
Question: x^2 + rx + 72 = 0 has two distinct integer roots; how many values are possible for r?
Choices:
6
8
12
24
Answer: C
Question: An investor opened a money market account with a single deposit of $6000 on Dec. 31, 2001. The interest earned on the account was calculated and reinvested quarterly. The compound interest for the first 3 quarters of 2002 was $125, $130, and $145, respectively. If the investor made no deposits or withdrawals during the year, approximately what annual rate of interest must the account earn for the 4th quarter in order for the total interest earned on the account for the year to be 10 percent of the initial deposit?
Choices:
9.3%
10.0%
10.5%
12.5%
Answer: D
Question: If the remainder is 10 when the integer n is divided by 18, what is the remainder when 2n is divided by 9?
Choices:
1
2
3
4
Answer: B
Question: Find the compound ratio of (1:2), (1:3) and (3:5) is
Choices:
1:10
3:4
4:5
3:2
Answer: A
Question: Four of the following five parts numbered (a), (b), (c), (d) and (e) are exactly equal. The number of the part which is not equal to the other four parts is your answer.
Choices:
45 × 6 + 75 × 4
175 ÷ 25 × 75 + 5(2)
36 × 4 + 21(2) – 7 × 5
65 × 12 – 46 × 5
Answer: A
Question: A small, rectangular park has a perimeter of 560 feet and a diagonal measurement of 100 feet. What is its area, in square feet?
Choices:
4,800
20,000
20,400
20,800
Answer: A
Question: A security guard at a certain store is instructed to check the receipt of one out of every five customers as they are leaving the store. If, on the guard's shift, 10 customers leave the store, how many different samples of customers could have been selected to have their receipts checked?
Choices:
45
59
90
100
Answer: A
Question: The average weight of 6 students decreases by 3 kg when one of them weighing 80 kg is replaced by a new student. The weight of the student is
Choices:
62 kg
70 kg
72 kg
None of these
Answer: A
Question: A sun is divided among X, Y and Z in such a way that for each rupee X gets, Y gets 45 paisa and Z gets 30 paisa. If the share of Y is RS. 45, what is the total amount?
Choices:
105
175
177
169
Answer: B
Question: How many 6 digit even numbers can be formed from digits 1, 2, 3, 4, 5, 6, and 7 so that the digit should not repeat and the second last digit is even?
Choices:
320
2160
720
620
Answer: C
Question: The price of a T.V. set worth Rs. 70000 is to be paid in 20 installments of Rs. 1000 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?
Choices:
26699
69000
19000
26711
Answer: B
Question: One year ago, the ratio of Sooraj's and Vimal's age was 6:7 respectively. Four years hence, this ratio would become 7:8. How old is Vimal?
Choices:
36
37
38
39
Answer: A
Question: Solve for X, log10X + log√10 X + log3√100 X = 27.
Choices:
106
104
10
15
Answer: A
Question: A sum of Rs.4600 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years.
Choices:
Rs.2990
Rs.3320
Rs.2760
None of these
Answer: A
Question: Rs.160 contained in a box consists of one rupee, 50 paisa and 25 paisa coins in the ratio 4:5:8. What is the number of 25 paisa coins?
Choices:
110.14
140.24
120.34
170.64
Answer: D
Question: Henry eats X scones in X percent of the time it takes Rachel to eat Y scones. If Rachel eats four scones in ten minutes, then the number of minutes it takes Henry to eat 20 scones must be equal to which of the following?
Choices:
Y/2
100Y/(15X)
XY/250
Y/(5X)
Answer: A
Question: Jill works as a waitress at the local diner where she earns an hourly wage of $4.00 per hour and a standard tip rate of 15% of the cost of the orders she serves. If she worked one 8-hour shifts this week and averaged $40 in orders per hour, how much did Jill earn this week?
Choices:
300
80
350
400
Answer: B
Question: Annie has 3 times the number of stamps that Doris does and Jane has 7 stamps more than Doris does. If Annie, Doris, and Jane each increase their number of stamps by 4, which of the following must be true after each person increases her number of stamps?
Annie has more stamps than Jane.
Jane has 3 more stamps than Doris.
The sum of the numbers of stamps that Annie and Doris have is a multiple of 4.
Choices:
IIIonly
and III only
and III only
II, and III
Answer: A
Question: Two equal triangles constitute rhombus A. If the diagonals of rhombus are 15cm and 20cm long. What is the area of each triangle?
Choices:
150
75
40
20
Answer: B
Question: If Ryan and Smith car ratio is 5:8. Ryan bought 6 new car and Smith bought 2 new car. Now,Smith has 18 car.what is their car ratio now?
Choices:
3:2
8:9
6:5
7:5
Answer: B
Question: Rs.1170 is divided so that 4 times the first share, thrice the 2nd share and twice the third share amount to the same. What is the value of the third share?
Choices:
Rs.542
Rs.528
Rs.540
Rs.549
Answer: C
Question: The banker's discount on Rs.1550 due a certain time hence is Rs.155. Find the true discount and the banker's gain.
Choices:
14
18
21
None
Answer: A
Question: What number should replace the question mark? 2, 16, 4, 14, 6, 12, ---?
Choices:
8
12
14
16
Answer: A
Question: In a can, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 4 litres of milk the can would be full and ratio of milk and water would become 6 : 5. Find the capacity of the can?
Choices:
44
48
22
None of these
Answer: C
Question: Total dinning bill for 8 people was $211.00.If they add 15% tip and divided the bill evenly ,approximate.What was each persons find share
Choices:
45.14
34.66
32.29
30.33
Answer: D
Question: Which of the following can be a perimeter e 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: By selling 100 pencil, a trader gains the cost of 30 Pencil. Find his gain percentage?
Choices:
51 1/3%
30%
53 1/3%
34 1/3%
Answer: B
Question: If $ 5,000 is invested in an account that earns 6% interest compounded semi-annually, then the interest earned after one year would be how much greater than if the $ 5,000 had been invested at 8% simple yearly interest?
Choices:
$ 6
$ 12
$ 16
$ 432
Answer: A
Question: 80% of Ram's marks is equal to 20% of Rahim's marks which percent is equal to 30% of Robert's marks. If Robert's marks is 80, then find the average marks of Ram and Rahim?
Choices:
97
87
90
75
Answer: D
Question: An error 12% in excess is made while measuring the side of a square. Now What is the percentage of error in the calculated area of the square?
Choices:
16.64%
15.64%
25.44%
10.64%
Answer: C
Question: ZYXW’ as coded as ‘ABCD’ then ‘STUV’ is coded as
Choices:
YY
U
H
W
Answer: C
Question: A fort of 1000 soldiers has provisions for 25 days. After 5 days some of them left and the food was now enough for the same period of 25 days as before. How many of them left?
Choices:
100
150
175
200
Answer: D
Question: There are 15 members in a family. it takes 180 days for a women to complete the work, however man completes in 120 days. They take 17days to complete the work if men work on alternate days and women work every third day. if all of them started together on the 1st day, then how many women are there in the family
Choices:
2
3
4
5
Answer: B
Question: Mr. Smitherly leaves Cedar Rapids at 8:00 a.m. and drives north on the highway at an average speed of 50 km per hour. Mr. Dinkle leaves Cedar Rapids at 9:00 a.m. and drives north on the same highway at an average speed of 70 km per hour. Mr. Dinkle will
Choices:
overtake Mr. Smitherly at 10:30 a.m.
overtake Mr. Smitherly at 11:30 a.m.
be 30 miles behind at 9:35 a.m.
never overtake Mr. Smitherly
Answer: B
Question: In how much time would the simple interest on a certain sum be 0.125 times the principal at 10% per annum?
Choices:
1 1/4
1 1/5
1 1/3
1 1/9
Answer: A
Question: In a cinema hall for the matinee show which started at 2.30 pm and ended at 5.30 pm the vehicle parking lot had only three wheelers (auto rickshaws) and four wheelers. Today the wheels of the vehicles parked was counted and found to be 240. What could be the number of three wheelers parked therein?
Choices:
43
42
45
48
Answer: C
Question: Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 sec. What is the length of the fast train?
Choices:
27 7/3
27 7/2
27 7/9
27 7/4
Answer: C
Question: A train travelling at a speed of 75 mph enters a tunnel 31/2 miles long. The train is 1/4 mile long. How long does it take for the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?
Choices:
3 min
3.2 min
3.5 min
4 min
Answer: A
Question: A merchant marks his goods up in such a way that the profit made on selling 30 articles is equal to the cost price of 20 articles. What is the E % profit made by the merchant?
Choices:
66.67 %
200 %
100 %
33.33 %
Answer: A
Question: In an exam Ashley secured 332 marks. If she secured 83 % makes, find the maximum marks
Choices:
376
377
400
377
Answer: C
Question: If Aaron is now twice as old as Bailey was 20 years ago, and B is Bailey's current age in years, which of the following represents the sum of Aaron and Bailey's ages 10 years from now?
Choices:
3B-16
3B-45
3B-78
3B-20
Answer: D
Question: How many seconds will a 900 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
49 sec
54 sec
59 sec
Answer: C
Question: The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
Choices:
3769
750
789
231
Answer: C
Question: If the arithmetic mean of seventy five numbers is calculated, it is 35. If each number is increased by 5, then mean of new numbers is
Choices:
35
40
50
None
Answer: B
Question: Some of the 50% solution of acid was removed and this was replaced with an equal amount of 30% solution of acid. As a result, a 40% solution of acid was obtained. What fraction of the original solution was replaced?
Choices:
1/2
2/3
1/4
2/5
Answer: A
Question: In how many ways can 4 apples (identical) be distributed among 3 children? (Some children may get no apples.)
Choices:
25
30
15
10
Answer: C
Question: A factory produces 7500 toys per week. If the workers at this factory work 5 days a week and if these workers make the same number of toys everyday, how many toys are produced each day?
Choices:
5487 toys
6113 toys
1875 toys
1375 toys
Answer: C
Question: A student has to secure 30% marks to get through. If he gets 80 marks and fails by 70 marks, find the maximum marks set for the examination.
Choices:
500
1200
1500
none of these
Answer: A
Question: Prints a page 24 pg per min .If the printed for 4 hours except 10 min.Where there
was an paper jam,how many page did it print
Choices:
12,880
14,880
8,880
5,520
Answer: D
Question: Four milkmen rented a pasture. A grazed 24 cows for 3 months; B 10 for 5 months; C 35 cows for 4 months and D 21 cows for 3 months. If A's share of rent is Rs. 720, find the total rent of the field.
Choices:
3550
4250
2250
3250
Answer: D
Question: In a certain village, 20 litres of water are required per household per month. At this rate, if there are 10 households in the village, how long (in months) will 2000 litres of water last?
Choices:
2
10
1
12
Answer: B
Question: In how many ways a committee, consisting of 4 men and 2 women can be formed from 6men and 4 women?
Choices:
60
90
150
35
Answer: B
Question: Two employees X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
Choices:
Rs.250
Rs.350
Rs.400
Rs.450
Answer: A
Question: Find the product of the local value and absolute value of 4 in 20468?
Choices:
1200
1340
1450
1600
Answer: D
Question: Linda spent 3/4 of her savings on furniture and the rest on a TV. If the TV cost her $250, what were her original savings?
Choices:
$800
$1000
$700
$100
Answer: D
Question: John decides to attend a basketball game with six friends. If the party of seven sits together in seven consecutive seats, and John must NOT sit in between two of his friends, how many ways can the seven friends be arranged?
Choices:
1000
540
1440
720
Answer: C
Question: Find the smallest number which when divided by 12 and 15 leaves respective remainders of 8 and 11.
Choices:
97
27
21
56
Answer: D
Question: In how many ways can the letters of the word 'APPLE' be arranged ?
Choices:
180
120
60
720
Answer: C
Question: In the faculty of Reverse-Engineering, 230 second year students study numeric methods, 423 second year students study automatic control of airborne vehicles and 134 second year students study them both. How many students are there in the faculty if the second year students are approximately 80% of the total?
Choices:
545.
618.
649.
666.
Answer: C
Question: If the selling price of a mat is five times the discount offered and if the percentage of discount is equal to the percentage profit, find the ratio of the discount offered to the cost price.
Choices:
1 : 5
1 : 6
7 : 30
8 : 30
Answer: C
Question: If 9 men do a work in 80 days, in how many days will 20 men do it?
Choices:
36 days
42 days
48 days
44 days
Answer: A
Question: A tyre has two punctures. The first puncture along would have made the tyre flat in 9 minutes and the second alone would have done it in 6 minutes. If air leaks out at a constant rate, how long does it take both the punctures together to make it flat?
Choices:
3 1⁄2 minutes
3 3⁄5 minutes
4 1⁄4 minutes
None of these
Answer: B
Question: A man can row downstream at 18 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively?
Choices:
8
3
4
5
Answer: C
Question: A train which has 440 m long, is running 45 kmph. In what time will it cross a person moving at 9 kmph in same direction ?
Choices:
44 sec
36 sec
29 sec.
19 sec.
Answer: A
Question: If, 2 years ago, Jamie was half as old as he is now, how old will he be in x years?
Choices:
x + 5
x + 2
x – 5
x + 4
Answer: D
Question: Find the curved surface area, if the radius of a cone is 35 m and slant height is 30 m?
Choices:
2200
3300
4400
5500
Answer: B
Question: The difference between C.I. and S.I. on an amount of $10,000 for 2 years is $36. What is the rate of interest per annum?
Choices:
6%
7%
8%
9%
Answer: A
Question: Speed of a boat in standing water is 9 kmph and the speed of the stream is 1. 5 kmph. A man rows to a place at a distance of 105 km and comes back to the starting point. The total time taken by him is
Choices:
18 hours
20 hours
24 hours
28 hours
Answer: C
Question: On a certain road 14% of the motorists exceed the posted speed limit and receive speeding tickets, but 20% of the motorists who exceed the posted speed limit do not receive speeding tickets. What percent of the motorists on the road exceed the posted speed limit?
Choices:
12.5%
17.5%
22%
30%
Answer: B
Question: Rs.1200 divided among P, Q and R. P gets half of the total amount received by Q and R. Q gets one-third of the total amount received by P and R. Find the amount received by R?
Choices:
500
287
111
172
Answer: A
Question: If 8 men or 12 women can do a piece of work in 25 days, in how many days can the same work be done by 6 men and 11 women?
Choices:
11 days
13 days
15 days
17 days
Answer: C
Question: A motor boat takes 12 hours to go downstream and it takes 24 hours to return the same distance. what is the time taken by boat in still water?
Choices:
16 h
86 h
96 h
66 h
Answer: A
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:
15
61
17
18
Answer: A
Question: A and B invest money in the ratio 2:3 and they has loss of Rs.7000 at the end of year. what is the share of loss of B?
Choices:
Rs.4200
Rs.1200
Rs.200
None of the above
Answer: A
Question: A bullet train leaves Kyoto for Tokyo traveling 240 miles per hour at 12 noon. Ten minutes later, a train leaves Tokyo for Kyoto traveling 160 miles per hour. If Tokyo and Kyoto are 340 miles apart, at what time will the trains pass each other?
Choices:
12:49pm
12:55pm
1:00pm
1:05pm
Answer: B
Question: A chemist mixes one liter of pure water with x liters of a 30% salt solution, and the resulting mixture is a 15% salt solution. What is the value of x?
Choices:
1/3
1/2
1
3
Answer: C
Question: In five football games thus far this season, Barry has run for 98, 107, 85, 89, and 91 yards. At a minimum, how many yards N will he need to gain this Sunday if he wants to keep his season average above 100 yards?
Choices:
116
130
N=131
N=141
Answer: C
Question: The probability of obtaining an even prime number on each die, when a pair of dice is rolled out?
Choices:
1/15
1/36
1/25
1/27
Answer: B
Question: A bag contains 6 red, 5 blue and 2 green balls. If 2 ballsare picked at random, what is the probability that both are red?
Choices:
1/15
5/26
3/25
4/17
Answer: B
Question: If the simple interest on a sum of money at 5% per annum for 3 years is Rs.1200, find the compound interest on the same sum for the same period at the same rate.
Choices:
1261
1271
1281
None
Answer: A
Question: If x and y are different prime numbers, each greater than 2, which of the following must be true?
I. x+y is an even integer
II. xy is an odd integer
III. (x/y) is not an integer
Choices:
I and II only
I and III only
II and III only
I, II, and III
Answer: D
Question: Laya purchase 13 jars in a store then she returned 9 jars to store .Now how many jars she had?
Choices:
B)11
C)19
D)9
E)4
Answer: D
Question: In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:
Choices:
21/46
50/90
83/96
24/81
Answer: A
Question: Here is another problem from Bhaskaracharya's Lilavati:
The square root of half the number of bees in a swarm has flown out upon a jasmine bush; eight ninths of the whole swarmhas remained behind; one female bee flies about the male that it buzzing within the lotus flower into which he was allured in the night by its sweet odour, but is now imprisoned in it. Tell me the number of bees?
Choices:
72
54
13
59
Answer: A
Question: How much time will it take for an amount of Rs. 900 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
Choices:
2 years
3 years
4 years
5 years
Answer: A
Question: A man complete a journey in 10 hours. He 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:
224 km
230 km
234 km
240 km
Answer: A
Question: A train leaves Delhi at 9 a.m. at a speed of 30 kmph. Another train leaves at 2 p.m. at a speed of 35 kmph on the same day and in the same direction. How far from Delhi, will the two trains meet?
Choices:
1050 km
1250 km
1550 km
850 km
Answer: A
Question: A retailer buys 80 pens at the market price of 36 pens from a wholesaler, if he sells these pens giving a discount of 1%, what is the profit % ?
Choices:
115
112
118
120
Answer: D