antoine-444/aqua_rat_dataset huggingface dataset:
Question: Four staff members at a certain company worked on a project. The amounts of time that the four staff members worked on the project were in the ratio 2 to 3 to 5 to 6. If one of the four staff members worked on the project for 60 hours, which of the following CANNOT be the total number of hours that the four staff members worked on the project?
Choices:
160
320
192
240
Answer: D
Question: A, B and C rents a pasture for Rs.870. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay?
Choices:
270
268
266
121
Answer: A
Question: Laura has a deck of standard playing cards with 12 of the 72 cards designated as aheart.If Laura shuffles the deck thoroughly and then deals 10 cards off the top of the deck, what is the probability that the 10th card dealt is a heart?
Choices:
1/5
5/26
12/42
1/6
Answer: D
Question: What is the least number which should be added to 2597 so that the sum is exactly divisible by 5, 6, 4, and 3?
Choices:
23
26
35
43
Answer: D
Question: The age of a person is thrice the total ages of his 2 daughters. 0.5 decades hence, his age will be twice of the total ages of his daughters. Then what is the father’s current age?
[0.5 Decades = 5 Years]
Choices:
45 years
42 years
46 years
52 years
Answer: A
Question: Rerty traveled a distance of 30 km, covering the first 10 km in x minutes, the next 10 km in y minutes and the last 10 km in z minutes. If he totally took 3y minutes to cover the whole distance, then which of the following cannot be true? Assume x , y and z are different.
Choices:
x=3z
y=2x
x=2y
y=3x
Answer: C
Question: Morgan Goldman has 5 Senior Managing Directors and 5 Managing Directors. Each investment banking deal requires the guidance of three managing directors, at least one of which must be a Senior Managing Director. How many possible investment banking deals can Morgan Goldman possibly provide guidance for?
Choices:
36
110
154
210
Answer: B
Question: A man invested Rs. 50000 at the rate of 5% p.a. for the first three years, 8% p.a.for the next five years and 10% p.a.for the period beyond eight years. At the end of eleven years, he want to distribute total money among his four sons, How much money will each son get?
Choices:
25375
28680
32000
23125
Answer: D
Question: A man can row 10 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and back. What is the total distance traveled by the man?
Choices:
6 km
9.86 km
5.66 km
10 km
Answer: B
Question: What is his percentage profit made by Nick if he purchased 10 dozen pens at Rs. 25 per dozen. He sold 3 dozens at 8% profit and the remaining 7 dozens with 14% profit?
Choices:
17.2%
12.2%
11.2%
13.2%
Answer: B
Question: Find the number of zeroes in 58! (58 factorial)
Choices:
13
14
15
16
Answer: A
Question: The contents of a certain box consist of 24 lemons and 30 kiwis. How many kiwis must be added to the box so that exactly 30% of the pieces of fruit in the box will be lemons?
Choices:
26
30
46
50
Answer: A
Question: Cost of an item is Rs 12.60 & profit is 10% over selling price what is the selling price
Choices:
13.86
14.86
15.86
16.86
Answer: A
Question: In what ratio should a variety of rice costing Rs. 7 per kg be mixed with another variety of rice costing Rs. 8.75 per kg to obtain a mixture costing Rs. 7.50 per kg?
Choices:
5/2
5/1
5/3
7/6
Answer: A
Question: Can you complete below number series by replacing "?" with the correct number.
10 # 10 # 20 # ? # 110 # 300 # 930
Choices:
25
45
55
75
Answer: B
Question: Before being simplified, the instructions for computing income tax in Country R were to add 2 percent of one's annual income to the average (arithmetic mean) of 100 units of Country R's currency and 1 percent of one's annual income. Which of the following represents the simplified formula for computing the income tax, in Country R's currency, for a person in that country whose annual income is A?
Choices:
50+3A/100
50+A/40
100+A/50
100+3A/100
Answer: B
Question: v, q, and r are positive integers. If v, q, and r are assembled into the six-digit number vqrvqr, which one of the following must be a factor of vqrvqr?
Choices:
19
17
7
none of the above
Answer: C
Question: There is 60% increase in an amount in 6 years at S.I. What will be the C.I. of Rs. 12,000 after 3 years at the same rate?
Choices:
2978
3972
2671
1871
Answer: B
Question: The number 86 can be written as the sum of the squares of 3 different positive integers. What is the sum of these 3 integers?
Choices:
16
15
14
13
Answer: C
Question: A leak in the bottom of a tank can empty the full tank in 6 hours. An inlet pipe fills water at the rate of 4 liters per minute. When the tank is full in inlet is opened and due to the leak the tank is empties in 8 hours. The capacity of the tank is?
Choices:
5760
2889
2870
2799
Answer: A
Question: When the integer n is divided by 8, the remainder is 5. Which of the following is NOT an even number?
Choices:
n/2 + 3.5
n – 3
3n + 1
5n + 2
Answer: D
Question: P works 25% more efficiently than Q and Q works 50% more efficiently than R. To complete a certain project, P alone takes 50 days less than Q alone. If, in this project P alone works for 60 days and then Q alone works for 150 days, in how many days can R alone complete the remaining work?
Choices:
75 days
120 days
150 days
80 days
Answer: B
Question: The sum of first eight prime numbers is?
Choices:
23
24
77
30
Answer: C
Question: It takes Joey the postman 1 hours to run a 2 mile long route every day. He delivers packages and then returns to the post office along the same path. If the average speed of the round trip is 5 mile/hour, what is the speed with which Joey returns?
Choices:
10
13
14
15
Answer: A
Question: Find the odd man out. 12, 24, 36, 48, 61, 72, 84
Choices:
25
61
90
115
Answer: B
Question: A disease has infected an ant colony that consists ofworkersandsoldiers: 30% of the soldiers and 14% of theworkerswere infected. If that colony is inhabited by 7000 ants, out of which 1540 are infected, how manyworkersinhabit the colony?
Choices:
2500
2750
3000
3500
Answer: D
Question: In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?
Choices:
50400
5004
7007
7004
Answer: A
Question: A student has to obtain 33% of the total marks to pass. He got 125 marks and failed by 40 marks. The maximum mark is
Choices:
500
400
300
800
Answer: A
Question: Thurston wrote an important seven-digit phone number on a napkin, but the last three numbers got smudged. Thurston remembers only that the last three digits contained at least one zero and at least one non-zero integer. If Thurston dials 30 phone numbers by using the readable digits followed by 30 different random combinations of three digits, each with at least one zero and at least one non-zero integer, what is the probability that he will dial the original number correctly?
Choices:
1/9
1/27
10/271
1/1000000
Answer: A
Question: trees of heights 30 and 40 sepatated by a river. fish in the river is at equal dis from top of the trees where two birds are there.ratio of the distances from fish to the root of the trees?
Choices:
4:3
2:1
3:4
1:3
Answer: A
Question: Jim Pete’s only source of income comes from his job as a question writer. In this capacity, Jim earns a flat salary of $200 per week plus a fee of $9 for every question that he writes. Every year, Jim takes exactly two weeks of unpaid vacation to visit his uncle, a monk in Meivazhi Salai, and get inspired for the next year. If a regular year consists of 52 weeks and the number of questions that Jim wrote in each of the past 5 years was an odd number greater than 20, which of the following could be Jim’s median annual income over the past 5 years?
Choices:
$25,673
$27,318
$28,459
$31,227
Answer: C
Question: If T divided by B equals 9.16 what is a possible remainder?
Choices:
8
2
6
5
Answer: A
Question: A train 200 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Choices:
11
5
9
8
Answer: A
Question: If |4x+10| = 46, what is the sum of all the possible values of x?
Choices:
-2
4
-5
6
Answer: C
Question: S is the infinite sequence S1 = 2, S2 = 22, S3 = 222,...Sk = Sk–1 + 2(10k–1). If p is the sum of the first 30 terms of S, what is the seventh digit of p, counting right to left from the units digit?
Choices:
2
3
6
9
Answer: B
Question: A and B invests Rs.3000 and Rs.5500 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit?
Choices:
9:8
9:7
9:5
9:11
Answer: D
Question: The ratio between the present ages of A and B is 6:3 respectively. The ratio between A's age 4 years ago and B's age 4 years hence is 1:1. What is the ratio between A's age 4 years hence and B's age 4 years ago?
Choices:
3:0
5:1
3:2
3:7
Answer: B
Question: Zinc and copper are melted together in the ratio 9 : 11. What is the weight of melted mixture, if 33.3 kg of zinc has been consumed in it?
Choices:
60 kg
64 kg
70 kg
74
Answer: D
Question: Of the seven-digit positive integers that have no digits equal to zero, how many have two digits that are equal to each other and the remaining digit different from the other two?
Choices:
36
72
152409600
216
Answer: C
Question: How many odd factors does 210 have?
Choices:
4
5
6
8
Answer: D
Question: 3 cooks have to make 80 burgers.They are known to make 20 pieces every minute working together.The 1st cook began workin alone and made 20 pieces having worked for sometime more than 3 mins.The remaining part of the work was done by second and 3rd cook working together.It took a total of 8 minutes to complete the 80 burgers.How many minutes would it take the 1st cook alone to cook 160 burgers?
Choices:
24 mins
32 mins
40 mins
30 mins
Answer: B
Question: There are 20 students in a class. In how many different ways can a committee of 3 students be formed?
Choices:
730
980
1140
1480
Answer: C
Question: The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 72. What is the difference between the two digits of that number?
Choices:
5
6
8
9
Answer: C
Question: In traveling from a dormitory to a certain city, a student went 1/5 of the way by foot, 2/3 of the way by bus, and the remaining 12 kilometers by car. What is the distance, in kilometers, from the dormitory to the city?
Choices:
45
60
64
120
Answer: C
Question: Mangala completes a piece of work in 12 days, Raju completes the same work in 36 days. If both of them work together, then the number of days required to complete the work is
Choices:
7 days
8 days
9 days
11 days
Answer: C
Question: Two sets of 6 consecutive positive integers have exactly one integer in common. The sum of the integers in the set with greater numbers is how much greater than the sum of the integers in the other set?
Choices:
42
28
12
it cannot be determined from the information given.
Answer: A
Question: From a pack of 52 cards, if 2 cards are selected one after the other without replacement, then what is the probability that the 1st card is a queen and the 2nd card is a heart.
Choices:
1/52
3/4
5/7
5/8
Answer: A
Question: If 12 men can reap 120 acres of land in 16 days, how many acres of land can 36 men reap in 32 days?
Choices:
512
369
720
450
Answer: C
Question: Limited resolution of early microscopes was one of the reasons of _________ understanding of cells.
Choices:
increased
contradicted
restricted
WEQ3
Answer: C
Question: A company spends an average of $500 for its 20 employees's salaries and an average of $100 for its 5 drivers' salaries. What is the average expenditure of the company?
Choices:
$290
$420
$600
$240
Answer: B
Question: -69*39+450=?
Choices:
2309
-2801
-2241
None of these
Answer: C
Question: A train of 25 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 2.5 km long?
Choices:
4
5
7
9
Answer: A
Question: Everyone shakes hands with everyone else in a room. Total number of handshakes is 55. Number of persons=?
Choices:
12
11
15
16
Answer: B
Question: Jasmine had this problem on her math test: y= (15x+75)-(8x+15). She came up with the answer y= 25x-36. Jasmine has gotten the wrong answer. Can you help Jasmine correctly solve the math problem for y if x=8?
Choices:
y=96
y=116
y=10
y=150
Answer: B
Question: A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?
Choices:
48
64
96
None
Answer: B
Question: In X game of billiards, X can give Y 10 points in 60 and he can give Z 30 points in 60. How many points can Y give Z in X game of 100?
Choices:
20
25
40
50
Answer: C
Question: Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in scheme B?
Choices:
Rs. 6400
Rs. 7200
Rs. 7500
Rs. 7800
Answer: A
Question: 63 + 5 * 12 / (180/3) = ?
Choices:
77
29
64
21
Answer: C
Question: A rectangular football field is fenced on all four sides. The length of the football field is twice the length of its breadth. The cost of fencing the field was $300. The football management has decided to change the dimensions of field by increasing the breadth by 5% of its original value and reducing the length by 20% of its original value and fence the field again.. What will be the cost of the new fencing?
Choices:
$265
$425
$405
$415
Answer: A
Question: When n is divided by 5 the remainder is 3. What is the remainder when n^2 is divided by 5?
Choices:
1
2
3
4
Answer: D
Question: A watch was sold at a loss of 10%. If it was sold for Rs.210 more, there would have been a gain of 4%. What is the cost price?
Choices:
s:1500
s:1278
s:1028
s:1027
Answer: A
Question: I gain 70 paise on Rs.70.My gain percent is :
Choices:
1%
7%
10%
Noneof these
Answer: A
Question: Evaluate: 986 x 237 + 986 x 863
Choices:
996000
986000
976000
None of them
Answer: B
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. 462?
Choices:
25.6%
20%
19%
None of these
Answer: A
Question: Find the last digit of
1!+2!+3!+4!+...............100!
Choices:
1
2
3
4
Answer: C
Question: Seven friends are living in 7 different flats of an apartment. Each of them was allotted a parking slot to park their cars in the ground floor. But they used to park their cars randomly in any of the seven slots. In how many ways can they park their cars so that exactly five persons park their cars in the slots allotted to them?
Choices:
21
35
42
49
Answer: A
Question: Jim is twice as old as Stephanie, who, four years ago, was three times as old as Kate. If, five years from now, the sum R of their ages will be 51, how old is Stephanie ?
Choices:
10
14
20
24
Answer: A
Question: One fourth of one third of two fifth of a number is 20. What will be40% of that number
Choices:
240
180
200
250
Answer: A
Question: The area of a square garden is A square feet and the perimeter is p feet. If a=p+5, what is the perimeter of the garden, in feet?
Choices:
20
40
56
64
Answer: A
Question: A boy has eight trousers and 10 shirts. In how many different ways can he select a trouser and a shirt?
Choices:
80 ways
88 ways
108 ways
89 ways
Answer: A
Question: Cereal A is 10% sugar by weight, whereas healthier but less delicious Cereal B is 2% sugar by weight. To make a delicious and healthy mixture that is 5% sugar, what should be the ratio of Cereal A to Cereal B, by weight?
Choices:
3:5
1:6
1:4
1:3
Answer: A
Question: The average amount with a group of seven numbers is Rs. 30. If the newly joined member has Rs. 60 with him, what was the average amount with the group before his joining the group?
Choices:
s. 25
s. 16.6
s. 26
s. 25.6
Answer: A
Question: A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train?
Choices:
270.
920
280
290
Answer: A
Question: In how many ways can the letters of the word BCGOI be rearranged such that the consonants always appear together?
Choices:
36
48
60
24
Answer: A
Question: The difference in compound interest earned on a deposit (compounded annually) in year 1 and year 2 is $ 40. Had the interest rate been three times its present value, the difference w would have been how much?
Choices:
40
120
360
420
Answer: C
Question: In a function they are distributing noble prize. In how many ways can 4 prizes be distributed among 8 boys when a boy gets any no. of prizes?
Choices:
5095
4096
4089
4000
Answer: B
Question: Sachin can cover a distance in 1hr 24 min by covering 2/3 of the distance at 4 kmph and the rest at 5 kmph. The total distance is?
Choices:
6 km
9 km
11 km
12 km
Answer: A
Question: How many minutes does Aditya take to cover a distance of 400 m, if he runs at a speed of 20 km/hr?
Choices:
1 (1/5) min
2 min
3 min
4 min
Answer: A
Question: What is the difference between the largest number and the least number written with the digits 9, 3, 5, 7?
Choices:
3788
2077
2721
6174
Answer: D
Question: The average of nine numbers is 27. If one number is excluded, the average becomes 25. The excluded number is
Choices:
27
30
35
43
Answer: D
Question: A grocer stacked oranges in a pile. The bottom layer was rectangular with 4 rows of 6 oranges each. In the second layer from the bottom, each orange rested on 4 oranges from the bottom layer, and in the third layer, each orange rested on 4 oranges from the second layer. Which of the following is the maximum number of oranges that could have been in the third layer?
Choices:
5
6
8
10
Answer: C
Question: If shares of two persons in profits are Rs.700 and Rs. 300 then ratio of their capitals is
Choices:
2:3
7:3
1:3
1:5
Answer: B
Question: A rectangular tank measuring 5 m × 4.5 m × 2.1 m is dug in the centre of the field measuring 13.5 m × 2.5. The earth dug out is spread evenly over the remaining portion of a field. How much is the level of the field raised ?
Choices:
4.1 m
4.2 m
4.3 m
None of these
Answer: B
Question: A sum of money deposited at C.I. amounts to Rs.2420 in 2 years and to Rs.2662 in 3 years. Find the rate percent?
Choices:
10%
20%
18%
40%
Answer: A
Question: A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was:
Choices:
14 years
4 years
2 years
8 years
Answer: A
Question: A shopkeeper buys mangoes at the rate of 5 a rupee and sells them at 4 a rupee. Find his net profit or loss percent?
Choices:
33 7/3 %
33 1/3 %
25 %
34 1/3 %
Answer: C
Question: If n is a positive integer such that n! / (n - 2)! = 342, find n.
Choices:
17
15
11
19
Answer: D
Question: The average of 13 result is 20. Average of the first 8 of them is 20 and that of the last 8 is 40. Find the 8th result?
Choices:
37
46
90
100
Answer: D
Question: From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?
Choices:
756
650
640
800
Answer: A
Question: At a round table, 7 knights are to be seated around a circular table. two seating arrangement are considered different only when the position of the people are different relative to each other. what is the total number of possible seating arrangement for the group?
Choices:
b.10
c.24
d.32
e.720
Answer: D
Question: A train consists of 12 boggies, each boggy 15 metres long. The train crosses a telegraph post in 9 seconds. Due to some problem, one boggies were detached. The train now crosses a telegraph post in
Choices:
12 sec
15 sec
8.25 sec
None of these
Answer: C
Question: Sam taken a loan Rs.15000/- from Co-operative Society with an interest @ 11.5% per month. At the same time he deposited Rs. 10000/- as Fixed Deposit with an interest @ 9.5% per month. After one week sam asked the manager to calculate the interest to be paid. What is the interest amount for 7 days?
Choices:
220
310
185
181
Answer: D
Question: Danny and Steve are running towards each other, each one from his own house. Danny can reach Steve's house in 33 minutes of running, which is half the time it takes Steve to reach Danny's house. If the two started to run at the same time, how much time longer will it take Steve to reach the halfway point between their houses than Danny to reach the halfway point between their houses?
Choices:
16.5 minutes
49.5 minutes
66 minutes
99 minutes
Answer: A
Question: The average expenditure of a labourer for 8 months was 85 and he fell into debt. In the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30. His monthly income is
Choices:
85
75
95
100
Answer: C
Question: The three competitors in a race have to be randomly chosen from a group of three men and five women. How many different such trios contain at least one woman?
Choices:
55
62
69
76
Answer: A
Question: If the length of the longest chord of a certain circle is 10, what is the radius of that certain circle?
Choices:
5
10
15
20
Answer: A
Question: In 1986 the book value of a certain car was 2/3 original price, and in 1988 its book value was 1/2 the original purchase price. By what percent did the book value for this car decrease from 1986 to 1988?
Choices:
25%
33 1/3
50%
75%
Answer: A
Question: The area of rectangular field is 460 square metres. If the length is 15 per cent more than the breadth ,what is the breadth of the rectangular field?
Choices:
26 metres
34.5 metres
Cannot be determined
None of these
Answer: D
Question: In a class, there are 20 boys whose average age is decreased by 2 months, when one boy aged 20 years replaced by a new boy. The age of the new boy is?
Choices:
15 years
16 years 8 months
17 years 10 months
17 years
Answer: B
Question: At a certain college, 40 percent of the total number of students are freshmen. If 50 percent of the fresh-men are enrolled in the school of liberal arts and, of these, 50 percent are psychology majors, what percent of the students at the college are freshmen psychology majors enrolled in the school of liberal arts?
Choices:
10%
14%
16%
18%
Answer: A
Question: A(7, w^3) is the (x, y) coordinate of point located on the parabola Y = X^2 + 15. What is the value of w?
Choices:
4.
5.
6.
9.
Answer: A
Question: Find the principal which yields a simple interest of Rs. 20 and compound interest of Rs. 24 in two years, at the same percent rate per annum?
Choices:
s. 50
s. 42
s. 20
s. 60
Answer: A
Question: A man has Rs. 512 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Choices:
96
50
80
60
Answer: A
Question: A man is 25 years older than his son. In two years, his age will be twice the age of his son. The present age of the son is?
Choices:
23
27
22
91
Answer: A
Question: If it is 5:22 in the evening on a certain day, what time in the morning was it exactly 2,880,695 minutes earlier? (Assume standard time in one location.)
Choices:
5:32
5:47
5:49
5:54
Answer: B
Question: The probability of a team winning a match given Matt is playing the match is 0.75. The probability of the team winning a match given Matt is not playing the match is 0.6. The probability of Matt playing any match is 0.8.
If it is known that the team has won the last match, what is the probability that Matt played the match?
Choices:
A)0.8333
C)0.8571
D)0.7531
E)0.8213
Answer: A
Question: A class of 4 Gangs is to be chosen from five Gangs.Each Gang contains 2 people.What is the number of different Gangs that can be chosen if two people who are in same gang to each other cannot both serve on the class?
Choices:
960
60
720
1050
Answer: A
Question: The sum of all the integers k such that –23 < k < 24 is
Choices:
-43
-25
-49
-51
Answer: A
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:
2 year
25 year
Data inadequate
None
Answer: C
Question: If b does not equal zero, and ab = b/2, what is the value of a?
Choices:
B)1/4
C)1/3
D)1/2
of the above
Answer: C
Question: If grapes are 92% water and raisins are 20% water, then how much did a quantity of raisins, which currently weighs 10 pounds, weigh when all the raisins were grapes? (Assume that the only difference between their raisin-weight and their grape-weight is water that evaporated during their transformation.)
Choices:
46 pounds
92 pounds
100 pounds
146 pounds
Answer: C
Question: Find large number from below question The difference of two no.'s is 1365. On dividing the larger no. by the smaller, we get 6 as quotient and the 15 as remainder?
Choices:
1563
1546
1643
1635
Answer: D
Question: Excluding stoppages, the speed of a bus is 40 kmph and including stoppages, it is 30 kmph. For how many minutes does the bus stop per hour?
Choices:
12 min
18 min
15 min
20 min
Answer: C
Question: If the difference between compound interest (interest compounded yearly)and simple interest on a sum for 2 years at 10% p.a. is Rs.150 then sum is
Choices:
Rs.15,000
Rs.13,000
Rs.10,000
Rs.14,000
Answer: A
Question: Jessica can text 85 words per minute, while Maurice can text 25 words per minute. An abridged English translation of Tolstoy’s War and Peace contains 410,400 words. Working together, how many days will it take Jessica and Maurice to text the entire abridged translation of War and Peace?
Choices:
1.3
3
2.6
11.3
Answer: C
Question: If the sides of a cube are in the ratio 5:3. What is the ratio of their diagonals?
Choices:
9:3
5:4
3:5
5:3
Answer: D
Question: If f(1, 3) = 10 and f(1, 4) = 17, what is the value of f(1, 5)?
Choices:
127
147
None of these
26
Answer: D
Question: A and B can do a piece of work in 18 days; Band C can do it in 24 days A and C can do it in 36 days. In how many days will A, Band C finish it together?
Choices:
16
19
18
20
Answer: A
Question: How many common two-digit whole numbers are there which gives a remainder of 2 when divided by 9 and gives a remainder of 5 when divided by 8?
Choices:
Three
One
Two
Four
Answer: B
Question: As a treat for her two crying children, a mother runs to the freezer in which she has two cherry ice pops, four orange ice pops, and four lemon-lime ice pops. If she chooses two at random to bring outside to the children, but realizes as she runs out the door that she cannot bring them different flavors without one invariably being jealous of the other and getting even more upset, what is the probability that she has to return to the freezer to make sure that they each receive the same flavor?
Choices:
1/6
5/18
4/45
5/6
Answer: C
Question: Alex takes a loan of $6,000 to buy a used truck at the rate of 8 % simple Interest.Calculate the annual interest to be paid for the loan amount.
Choices:
700
720
480
420
Answer: C
Question: If the diameter of circle R is 60% of the diameter of circle S, the area of circle R is what percent of the area of circle S?
Choices:
46%
36%
26%
38%
Answer: B
Question: Find the number of square tiles to cover the floor of a room measuring 6.5 m * 8.5 m leaving 0.25 m space around the room. A side of square tile is given to be 25 cms?
Choices:
768
429
428
413
Answer: A
Question: k = 2^n + 6, where n is an integer greater than 1. If k is divisible by 9, which of the following MUST be divisible by 9?
Choices:
2^n - 2
2^n-3
2^n + 4
2^n + 5
Answer: B
Question: A train speeds past a pole in 15 seconds and a platfrom 100 m long in 25 seconds. Its length is :
Choices:
125 m
130 m
150 m
None
Answer: C
Question: A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?
Choices:
5/9
5/5
5/3
5/2
Answer: A
Question: Raju, Rahim, Rajesh together can do a work in 5 days. Raju alone can do the work in 10 days and Rahim alone can do the same work in 20 days. Find in what time Rajesh alone can do that work?
Choices:
15days
20days
30days
18days
Answer: B
Question: A certain list consists of 21 different numbers. If n is in the list and n is 4 times the average(arithmetic mean) of the other 20 numbers in the list, then n is what fraction E of the sum of the 21 numbers in the list?
Choices:
1/6
1/5
4/21
5/21
Answer: A
Question: What is 15 percent of 68?
Choices:
8.7
9.1
10.2
11.6
Answer: C
Question: The wages earned by Robin is 50% more than that earned by Erica. The wages earned by Charles is 60% more than that earned by Erica. How much percent is the wages earned by Charles more than that earned by Robin?
Choices:
23%
30%
50%
7%
Answer: D
Question: What is 92% of 3/5?
Choices:
0.552
0.6845
0.6859
0.69
Answer: A
Question: The area of a rectangular plot is 460 square metres. If the length is 15% more than the breadth, what is the breadth of the plot?
Choices:
20 metres
18 metres
16 metres
17 metres
Answer: A
Question: There are 13 South American countries, Anncy has won a ticket to fly from Denver to one South American country and then directly to another South American Country before returning home to Denver again. Assuming there are four airports in each country, how many flights paths can Anncy choose from?
Choices:
13.12.11.10.4
13.12.4.4.
13.12.4
13.13.13.13
Answer: B
Question: Starting with 0, a mathematician labels every non-negative integer as one of five types: alpha, beta, gamma, delta, or epsilon, in that repeating order as the integers increase. For instance, the integer 8 is labeled delta. What is the label on an integer that is the sum of an alpha raised to the seventh power and an epsilon raised to the seventh power?
Choices:
beta
gamma
delta
epsilon
Answer: D
Question: A man opens a shop. He buys water bottles for 50 cents each, fruit for 25 cents each, and snacks for a dollar each. He wants to start a bundle of selling a bottle a water, 3 snacks and 2 fruits for D dollars. Every 5th bundle sold will be sold for 2 dollars and a complimentary snack at the owner's expense. What should he charge at least to not lose any money?
Choices:
4.6
4.1
3.2
2.9
Answer: A
Question: The marked price of a book is 20% more than the cost price. After the book is sold, the vendor realizes that he had wrongly raised the cost price by a margin of 25%. If the marked price of the book is Rs.30, what is the original cost price of the book?
Choices:
Rs.25
Rs.45
Rs.20
Rs.10
Answer: C
Question: A bat is bought for Rs.400 and sold at a gain of 10% find its selling price?
Choices:
s.480/-
s.500/-
s.520/-
s.440/-
Answer: D
Question: (700 + 200) Ã— 4 Ã— (4 + 2) = ?
Choices:
21600
36600
22400
12500
Answer: A
Question: Two water pumps, working simultaneously at their respective constant rates, took exactly 5 hours to fill a swimming pool. If the constant rate of one pump was 1.5 times the constant rate of the other, how many hours would it have taken the faster pump to fill the pool if it had worked alone at its constant rate?
Choices:
16/3
17/3
22/3
25/3
Answer: D
Question: The population of bacteria culture doubles every 2 minutes.approximately how many minutes will it take for the population to grow from 1000 to 500,000 bacteria?
Choices:
12
14
18
20
Answer: C
Question: Using all the letters of the word "SATURDAY", how many different words can be formed?
Choices:
B)8
C)8!
D)7!
E)3
Answer: B
Question: The true discount on a bill due 9 months hence at 16% per annum is Rs. 270. The amount of the bill is
Choices:
2520
2600
3354
None of these
Answer: A
Question: 1/3 of certain journey is covered at the rate of 25kmph,one-fourth at the rate of 30kmph and the rest at 50 kmph.Find the avg speed for the whole journey.
Choices:
44.35 kmph
33.333 kmph
39.57 kmph
43.766 kmph
Answer: B
Question: Thomas's salary and Matt's salary are in the ratio 1:2. If both get an increment of Rs. 4000 their salaries would be in the ratio of 7:12. Find Thomas's salary as of now?
Choices:
10000
15000
20000
25000
Answer: A
Question: In how many different ways can the letters of the word VALUES be arranged in such a way that the vowels occupy only the odd positions?
Choices:
36
48
32
72
Answer: A
Question: 2, 3, 5, 16, 231, ?
Choices:
52120
422
53105
56200
Answer: C
Question: In a certain city each of 28 primary schools is represented by a colored flag. Each flag consists of either a single color or a pair of two different colors. If each school has a different flag, what is the minimum number of colors needed for the flags. (Assume that the order of colors in a pair on a flag does not matter.)
Choices:
7
8
10
5
Answer: A
Question: The sides of a square region, measured to the nearest centimeter, are 7 centimeters long. The least possible value of the actual area of the square region is
Choices:
42.25 sq cm
43.25 sq cm
50.25 sq cm
52.25 sq cm
Answer: A
Question: An ant walks an average of 500 meters in 12 minutes. A beetle walks 15% less distance at the same time on the average. Assuming the beetle walks at her regular rate, what is its speed in km/h?
Choices:
2.215
2.775
3.2
3.5
Answer: A
Question: Father John forms a choir from the church attendants. 30 people attend John's church, and the choir has 28 spots available, with one person as the lead singer. How many different combinations does John have?
Choices:
4412
6544
12180
24366
Answer: C
Question: A department store perceived a run on a lower priced garment and raised the price by 20% to keep stock available until another shipment arrived. Customers fumed and the department store manager allowed them to purchase the garments at 80% of the new price to save face. What was the difference in the new retail price and the price the customers were allowed to pay instead?
Choices:
4.0%
6.0%
7.0%
8.0%
Answer: A
Question: Find the least number must be subtracted from 427398 so that remaining no.is divisible by 15?
Choices:
3
6
9
8
Answer: A
Question: The least number which should be added to 4298 so that the sum is exactly divisible by 5, 6, 4 and 3 is?
Choices:
22
32
42
52
Answer: A
Question: A cistern is normally filled in 6 hours but takes two hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in?
Choices:
88
24
99
11
Answer: B
Question: Find the 37.5% of 976 ?
Choices:
655
366
437
545
Answer: B
Question: It takes a boat 3 hours to travel down a river from point A to point B, and 5 hours to travel up the river from B to A. How long would it take the same boat to go from A to B in still water?
Choices:
3 hours and 45 minutes
1 hours and 45 minutes
6 hours and 45 minutes
8 hours and 45 minutes
Answer: A
Question: At the faculty of Aerospace Engineering, 312 students study Random-processing methods, 232 students study Scramjet rocket engines and 112 students study them both. If every student in the faculty has to study one of the two subjects, how many students are there in the faculty of Aerospace Engineering?
Choices:
428.
430.
432.
436
Answer: C
Question: There were two candidates in an election. Winner candidate received 62% of votes and won the election by 300 votes. Find the number of votes casted to the winning candidate?
Choices:
744
912
1200
775
Answer: D
Question: Two numbers N and 16 have LCM = 48 and GCF = 8. Find N.
Choices:
56
76
87
24
Answer: D
Question: Of 21 applicants for a job, 14 had at least 5 years of prior work experience, 12 had advanced degrees, and 6 had at least 5 years of prior work experience and advanced degrees. How many of the applicants had neither 5 years of prior work experience nor advanced degrees?
Choices:
1
5
7
9
Answer: A
Question: Last month, John rejected 0.5% of the products that he inspected and Jane rejected 0.6 percent of the products that she inspected. If total of 0.75 percent of the products produced last month were rejected, what fraction of the products did Jane inspect?
Choices:
1/4
5/8
5/6
15/16
Answer: A
Question: A person divided his total amount into two parts in the ratio of 3:2. He invested the first part in a bank which gives simple interest at the rate of 10% pa and the second part in another bank which gives simple interest at the rate of 20%. If after 3 years the total interest received by him from both the banks is 42% of the total amount he deposited in both the banks together, what is the total amount he deposited ?
Choices:
Rs. 18000
Rs. 20000
Cannot be determined
Data is not sufficient
Answer: C
Question: A goods train leaves a station at a certain time and at a fixed speed. After ^hours, an express train leaves the same station and moves in the same direction at a uniform speed of 90 kmph. This train catches up the goods train in 4 hours. Find the speed of the goods train.
Choices:
52kmph
13kmph
36kmph
45kmph
Answer: C
Question: What is the twenty-sixth decimal to the right in the fraction 21/22?
Choices:
3
5
7
9
Answer: B
Question: What is the thousandths digit in the decimal equivalent of 57/5000?
Choices:
1
3
5
6
Answer: A
Question: A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?
Choices:
10/21
3/5
2/7
5/7
Answer: A
Question: Find the odd man out. 12, 21, 32, 45, 60, 77, 95
Choices:
95
32
21
95
Answer: A
Question: A clock is set right at 8 a.m. The clock gains 10 minutes in 24 hours will be the true time when the clock indicates 1 p.m. on the following day?
Choices:
48 min. past 12
48 min. past 13
48 min. past 11
48 min. past 16
Answer: A
Question: The average marks of 20 students in a class is 100. But a student mark is wrongly noted as 50 instead of 10 then find the correct average marks?
Choices:
82
98
91
85
Answer: B
Question: The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
Choices:
35
77
54
23
Answer: D
Question: Because he’s taxed by his home planet, Mork pays a tax rate of 45% on his income, while Mindy pays a rate of only 20% on hers. If Mindy earned 4 times as much as Mork did, what was their combined tax rate?
Choices:
25%
28%
31%
34%
Answer: A
Question: A 6% stock yields 8%. The market value of the stock is:
Choices:
Rs. 75
Rs. 96
Rs. 133.33
Rs. 143.33
Answer: A
Question: A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4 km/hr. find the time taken by the boat to go 80 km downstream?
Choices:
3 hours
4 hours
5 hours
None
Answer: D
Question: What percent is 70 of 280?
Choices:
25 %
35%
40%
42%
Answer: A
Question: A, B and C invests Rs.6000, Rs.5000 and Rs.3000 in a business. After one year C removed his money; A and B continued the business for two more year. If the net profit after 3 years be Rs.4206, then C's share in the profit is?
Choices:
289
400
350.5
300
Answer: C
Question: The angle between the minute hand and the hour hand of a clock when the time is 9.30, is
Choices:
65°
45°
105°
95°
Answer: C
Question: If n and k are integers whose product is 2500, which of the following statements must be true?
Choices:
n does not equal k
Either n or k is a multiple of 10
If n is even, then k is odd
If n is odd, then k is even
Answer: D
Question: The total age of A and B is 14 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: C
Question: An art gallery owner is hanging paintings for a new show. Of the three paintings she has to choose from, she can only hang two on the main wall of the gallery. Assuming that she hangs as many as possible on that wall, in how many ways can she arrange the paintings?
Choices:
6
64
120
216
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
9
7
5
Answer: A
Question: Water consists of hydrogen and oxygen, and the approximate ratio, by mass, of hydrogen to oxygen is 2:16. Approximately how many grams of oxygen are there in 126 grams of water?
Choices:
72
112
128
142
Answer: B
Question: If P and Q are positive integers related by the equation P = 10Q - 5, what is the remainder when P is divided by 5?
Choices:
0
2
3
4
Answer: A
Question: If the selling price of 60 articles is equal to the cost price of 30 articles, then the loss or gain percent is:
Choices:
35%
66%
45%
50%
Answer: D
Question: P and Q started a business investing Rs. 85,000 and Rs. 15,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively ?
Choices:
3 : 5
15 : 23
None of these
Data inadequate
Answer: C
Question: A, B and C can do a work in 9, 30 and 45 days respectively. If they work together, in how many days will they complete the work?
Choices:
6
7
8
11
Answer: A
Question: The principal that amounts to Rs. 4913 in 3 years at 6 1/4 % per annum C.I. compounded annually, is?
Choices:
Rs. 4076
Rs. 4085
Rs. 4096
Rs. 5096
Answer: C
Question: Due to reduction of 25% in price of oranges a customer can purchase 4 oranges more for Rs. 16. what is original price of an orange?
Choices:
1.33
1.31
1.32
1.38
Answer: A
Question: The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 42 kmph, find the speed of the stream?
Choices:
17 kmph
14 kmph
18 kmph
19 kmph
Answer: B
Question: The cost price of 7 articles is equal to the selling price of 5 articles. What is the profit percent?
Choices:
20%
30%
40%
50%
Answer: C
Question: If paint costs $3.20 per quart, and a quart covers 60 square feet, how much will it cost to paint the outside of a cube 10 feet on each edge?
Choices:
$ 32.00
$ 96.00
$108.00
$196.00
Answer: A
Question: Sandy gets 3 marks for each correct sum and loses 2 marks for each incorrect sum. Sandy attempts 30 sums and obtains 55 marks. How many sums did Sandy get correct?
Choices:
21
23
25
27
Answer: B
Question: A certain telescope increases the visual range at a particular location from 90 kilometers to 150 kilometers. By what percent is the visual range increased by using the telescope ?
Choices:
33 1/2%
40%
60%
66 2/3%
Answer: D
Question: If P : Q = 3 : 4 and Q : R = 5 : 6, then P : Q : R is:
Choices:
3 : 5 : 6
15 : 20 : 24
5 : 6 : 3
None
Answer: B
Question: At the end of the first quarter, the share price of a certain mutual fund was 30 percent higher than it was at the beginning of the year. At the end of the second quarter, the share price was 75 percent higher than it was at the beginning of the year. What was the percent increase in the share price from the end of the first quarter to the end of the second quarter?
Choices:
25%
30%
34.6%
40%
Answer: C
Question: A train 1200 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
Choices:
256 m
100 m
278 m
287 m
Answer: B
Question: A tank is 25m long 12m wide and 6m deep. The cost of plastering its walls and bottom at 45 paise per sq m is
Choices:
Rs. 334.80
Rs. 434.80
Rs. 534.80
None of these
Answer: A
Question: The total of company C's assets in 1994 was 400% 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
12N
25N
Answer: D
Question: 30 square stone slabs of equal size were needed to cover a floor area of 120 sq.m. Find the length of each stone slab?
Choices:
200cm
88cm
666cm
776cm
Answer: A
Question: For what value of x between − 5 and 5, inclusive, is the value of x^2 − 10x + 16 the greatest?
Choices:
− 5
0
2
4
Answer: A
Question: In a rectangular coordinate system, what is the area of a rhombus whose vertices have the coordinates (0, 3.5), (9, 0), (0, -3.5), (-9, 0)?
Choices:
88
112
116
63
Answer: D
Question: 1397 x 1397
Choices:
1951609
18362619
2031719
None of these
Answer: A
Question: How many 9's are there preceded by 5 but not followed by 1?
5 9 3 2 1 7 4 2 5 9 7 4 6 1 3 2 8 7 4 1 3 8 3 5 9 1 7 4 3 9 5 8 2 0 1 8 7 4 6 3
Choices:
2
6
8
9
Answer: A
Question: A man sells a horse for Rs.740 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?
Choices:
679
767
820
998
Answer: C
Question: Every year Taylor goes to the same carnival, and he attempts to shoot a basketball into a small hoop, hoping that he will win a ten-foot tall teddy bear. If the probability that Taylor does not make a basket is 1/3, what is the probability that Taylor makes exactly one basket in three tries?
Choices:
2/9
2/5
3/5
3/7
Answer: A
Question: 100 people are standing in a circle. The person standing at number 1 is having a sword. He kills the person next to him with the sword and then gives the sword to the third person. This process is carried out till there is just one person left.
Can you find out who survives?
Choices:
73
90
75
87
Answer: A
Question: Anmol can eat 27 pastries in a hour.
Aakriti can eat 2 pastries in 10 minutes.
Divya can eat 7 pastries in 20 minutes.
How long will it take them to eat a 420 pastries ?
Choices:
1 hours.
5 hours.
4 hours.
7 hours.
Answer: D
Question: Total Rs.700 are divided among 3 persons (A, B, and C). A gets 1/2 of B and B gets 1/2 of C. How much C have?
Choices:
400
500
600
700
Answer: A
Question: The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digit number?
Choices:
78
96
Cannot be determined
None of these
Answer: C
Question: If selling price is doubled, the profit triples. Find the profit percent.
Choices:
100 %
25 %
18 %
12 %
Answer: A
Question: How much water must be added to 60 litres of milk at 1 1⁄2 litres for 20 so as to have a mixture worth 10 2⁄3 a litre?
Choices:
12 litres
15 litres
18 litres
None of these
Answer: B
Question: What is the least value of k. So that 123k578 is divisible by 11.
Choices:
8
5
6
4
Answer: A
Question: What is the greatest positive integer x such that 6^x is a factor of 216^10?
Choices:
9
10
20
30
Answer: D
Question: Brindavan Express leave Chennai Central Station every day at 07.50 am and goes to Bangalore City Railway station. This train is very popular among the travelers. On 25th July 2012 number of passengers traveling by I class and II class was in the ratio 1:4. The fare for this travel is in the ratio 3:1. The total fare collected was Rs. 224000/. (Rs. Two lakhs twenty four thousand only). What was the fare collected from I class passengers on that day?
Choices:
Rs. 96000
Rs.128000
Rs. 5,00,000
None of these
Answer: A
Question: There is a square with sides of 13. What is the area of the biggest circle that can be cut out of this square?
Choices:
132.73
530.93
113.1
204.33
Answer: A
Question: A cycle is bought for Rs.600 and sold for Rs.1080, find the gain percent?
Choices:
20
90
80
11
Answer: C
Question: Ratio between Rahul and Deepak is 4:3, After 10 Years Rahul age will be 26 years. What is Deepak present age.
Choices:
12
20
22
24
Answer: A
Question: Running at their respective constant rate, machine X takes 2 days longer to produce w widgets than machines Y. AT these rates, if the two machines together produce 5w/4 widgets in 3 days, how many days would it take machine X alone to produce 4w widgets.
Choices:
6
8
10
24
Answer: D
Question: Bill’s compact disc player randomly plays a song, so that no song is repeated before the entire album is played. If Bill plays a disc with 15 songs, what are the chances that the third song he hears will be his favorite?
Choices:
1/15
1/11
3/14
1/3
Answer: A
Question: Out of three numbers, the first is twice the second and is half of the third. If the average of the three numbers is 84, the three numbers in order are?
Choices:
36, 144, and 72
72, 36, and 144
72, 144, and 36
144, 36, and 72
Answer: B
Question: 8 men can dig a pit in 20 days. If a work half as much again as a boy, then 4 men and 9 boys can dig a similiar pit. Find the days for 15 days can dig?
Choices:
14
16
10
21
Answer: B
Question: If the letters of the word PLACE are arranged taken all at a time, find how many do not start with AE?
Choices:
114
130
134
135
Answer: A
Question: The side of a square is increased by 30% then how much % does its area increases?
Choices:
36.25 %
69.00 %
52.25 %
56.55 %
Answer: B
Question: In a bag, there are 4 white, 1 brown and 5 red pens. One pen is picked up randomly. What is the probability that it is neither white nor red?
Choices:
1/10
1/2
1/3
1/4
Answer: A
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:
4/31
5/26
6/31
2/51
Answer: B
Question: In how many different ways can the letters of the word ‘ARMOUM’ be arranged?
Choices:
234
250
270
360
Answer: D