antoine-444/aqua_rat_dataset huggingface dataset:
Question: Ravi and sunil are partners in a business. Ravi invests Rs.18,000 for 8 months and Sunil invested Rs.10000 for 10 months then after one year ratio of their profits will be
Choices:
36:25
3:2
4:5
20:45
Answer: A
Question: Two pipes A and B can separately fill a tank in 16 and 18 minutes respectively. A third pipe C can drain off 45 liters of water per minute. If all the pipes are opened, the tank can be filled in 18 minutes. What is the capacity of the tank?
Choices:
720 liters
740 liters
860 liters
620 liters
Answer: A
Question: the population of a country is increased by 2% in one year and 3% in next year.what is the combined growth of population in these two year
Choices:
5.06%
6.06%
7.06%
8.06%
Answer: A
Question: A number, x is chosen at random from the set of positive integers less than 10. What is the probability that (7/x) > x?
Choices:
7/9
1/3
2/3
2/9
Answer: D
Question: Debony normally drives to work in 45 minutes at an average speed of 40 miles per hour. This week, however, she plans to bike to work along a route that decreases the total distance she usually travels when driving by 20% . If Debony averages between 12 and 16 miles per hour when biking, how many minutes earlier will she need to leave in the morning in order to ensure she arrives at work at the same time as when she drives?
Choices:
105
95
75
45
Answer: C
Question: What is the area inscribed by the lines y =6, x = 3, y = 2x-4 on an xy-coordinate plane?
Choices:
b) 2
c) 4
d) 8
e) 16
Answer: B
Question: Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.85. How much was lent at 5%?
Choices:
2769
278
502
131
Answer: C
Question: Initially, the men and women in a room were in the ratio of 4 : 5. Then, 2 men entered the room and 3 women left the room. Then, the number of women doubled. Now there are 14 men in the room. How many R women are currently in the room?
Choices:
14
15
24
36
Answer: C
Question: If 3^20 x 2^20 =6^n what is the value of n?
Choices:
20
22
24
26
Answer: A
Question: In how many ways can the letters of the word "VENUS" be arranged?
Choices:
80
100
120
140
Answer: C
Question: A company assigns product codes consisting of all the letters in the alphabet.How many product codes are possible if the company uses at most 3 letters in its codes, and all letters can be repeated in any one code?
Choices:
16226
17576
18278
28572
Answer: C
Question: Oil cans x and y are right circular cylinders and the height and radius of y are each 10 times those of x. If the oil in can x filled to capacity sells for $1, how much does the oil in y sell for if y is only half filled?
Choices:
$450
$500
$550
$600
Answer: B
Question: If n divided by 11 has a remainder of 1, what is the remainder when 5 times n is divided by 11?
Choices:
2
3
9
5
Answer: D
Question: At the moment there are 54,000 tagged birds in a certain wildlife refuge. If exactly 20 percent of all birds in the refuge are tagged, what percent of the untagged birds must be tagged so that half of all birds in the refuge are tagged?
Choices:
37.5
34.44
33.91
50
Answer: A
Question: How many kilograms of sugar costing Rs. 9 per kg must be mixed with 27kg of sugar costing Rs.7 per kg so that there may be gain of 10% by selling the mixture at Rs.9.24 per kg?
Choices:
63 kg
50 kg
77 kg
None of these
Answer: A
Question: A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is?
Choices:
25/42
25/41
25/48
25/32
Answer: A
Question: The length of the rectangular field is double its width. Inside the field there is square shaped pond 9m long. If the area of the pond is 1/8 of the area of the field. What is the length of the field?
Choices:
36
75
28
11
Answer: A
Question: A reduction of 20% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg?
Choices:
2.6
2.5
2.4
2.1
Answer: B
Question: If 3x=2y=z, what is x+y, in terms of z?
Choices:
5z/6
z/3
3z/5
z/9
Answer: A
Question: A factory produces 5500 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:
1100 toys
6113 toys
2354 toys
1375 toys
Answer: A
Question: 8 friends decides to eat pizza. 4 friends eat type 1 pizza which cost 100 each. Remaining friend buy pizza having off on it and saves 100 and each of them pay equal money .Total bill is 800. what is % of off on each pizza.
Choices:
20%
10%
15%
25%
Answer: A
Question: A family made a down payment of $55 and borrowed the balance on a set of encyclopedias that cost $400. The balance with interest was paid in 23 monthly payments of $16 each and a final payment of $9. The amount of interest paid was what percent of the amount borrowed?
Choices:
8%
7.7%
10%
5%
Answer: B
Question: The average salary of all the workers in a workshop is Rs. 8000. The average salary of 9 technicians is Rs. 18000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is :
Choices:
54
88
37
29
Answer: A
Question: which of the following could be the greatest common factor of positive integers 10 and 15 ? I) 5 II) 4 III) 2
Choices:
I only
III only
I,II only
I,III only
Answer: A
Question: During 2001, a stock lost 90 percent of its value. During the following year, the stock's value increased by 200 percent. Which of the following is the percent change in the stock's value during those two years?
Choices:
70 percent decrease
20 percent increase
60 percent increase
140 percent increase
Answer: A
Question: The H.C.F. and L.C.M. of two numbers are 12 and 5040 respectively If one of the numbers is 144, find the other number
Choices:
256
120
420
None of these
Answer: C
Question: A man sitting in a train which is traveling at 60 kmph observes that a goods train, traveling in opposite direction, takes 12 seconds to pass him. If the goods train is 300 m long, find its speed
Choices:
56 kmph
58 kmph
30 kmph
34 kmph
Answer: C
Question: Insert the missing number. 34, 7, 37, 14, 40, 28, 43, (...)
Choices:
56
30
22
25
Answer: A
Question: A coin has two sides. One side has the number 1 on it and the other side has the number 2 on it. If the coin is flipped four times what is the probability that the sum of the numbers on the landing side of the coin will be greater than 4?
Choices:
15/16
11/16
5/8
3/4
Answer: A
Question: Jim is able to sell a hand-carved statue for $670 which was a 25% profit over his cost. How much did the statue originally cost him?
Choices:
$536.00
$555.40
$574.90
$588.20
Answer: A
Question: A train crosses a tunnel of 1200 m in 45 sec, same train crosses another platform of length 180 m in 15 sec. then find the length of the train?
Choices:
400m
272m
330m
267m
Answer: C
Question: 5:3 is the present ratio between the ages of Rose and Jennie. In 5 years time Rose will be 20. What is the present age of Jennie?
Choices:
5
4
7
9
Answer: D
Question: A group of men decided to do a work in 55 days, but 15 of them became absent. If the rest of the group did the work in 60 days, Find the original number of men?
Choices:
180
140
100
25
Answer: A
Question: A group consists of 4 couples in which each of the 4 boys have one girl friend.In how many ways they can be arranged in a straight line such that boys and girls occupies alternate positions?
Choices:
1152
1252
1342
1424
Answer: A
Question: What is the probability of rolling a total of 9 with a single roll of two fair six-sided dice, each with the distinct numbers 1 through 6 on each side?
Choices:
1/6
1/9
1/3
1/2
Answer: B
Question: What is the angle of degree suspended when two hands of clock showing the time 2.30.
Choices:
105 degree
115 degree
125 degree
135 degree
Answer: A
Question: If m and n are positive integers and n ≠ 1, then mn(n −1) is
Choices:
m+n
mn
mn^2 -mn
mn^2
Answer: C
Question: A man can swim in still water at 7.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
Choices:
1.4
1.1
1.5
2.5
Answer: D
Question: Seema took a loan of 1800 with simple interest for as many years as the rate of interest. If she paid 162 as interest at the end of the loan period, what was the rate of interest?
Choices:
3
5
Can not be determined
None
Answer: A
Question: If J is the interest on K and K is the interest on L, the rate and time is the same on both the cases. What is the relation between J, K and L ?
Choices:
KxK= JL
LxL = JK
JKL = 1
None of these
Answer: A
Question: P is 50% more efficient than Q. P can complete a work in 25 days. If P and Q work together, how many days will it take to complete the same work?
Choices:
13
15
17
19
Answer: B
Question: The distance between two cities A and B is 330 Km. A train starts from A at 8 a.m. and travel towards B at 60 km/hr. Another train starts from B at 9 a.m and travels towards A at 75 Km/hr. At what time do they meet?
Choices:
09 a.m
11 a.m
05 a.m
06 a.m
Answer: B
Question: A set A consists of 7 consecutive odd integers. If the sum of 5 largest integers of set A is -185 what is the sum of the 5 smallest integers of set A?
Choices:
175
195
205
215
Answer: C
Question: Four brothers Adam, Bill, Charles and David together contributed certain amount of money and purchased a car. The contribution made by Adam is half that of the total contribution made by the other three brothers, contribution made by Bill is one-fourth of the total contribution made by the other three brothers and the contribution made by Charles is two-third of the total contribution made by the other three brothers. If the total price of the car is $9750, find the contribution made by David.
Choices:
$580
$600
$650
$680
Answer: C
Question: In a game of 50 points; A can give B 5 points and C 15 points. Then how many points B can give C in a game of 90 ?
Choices:
can give C 4 points
can give C 2 points
can give C 6 points
can give C 20 points
Answer: D
Question: If 1^3 + 2^3 + 3^3 +......+ 10^3 = 516 then the value of 2^3 + 4^3 + 63 + ..... + 203 is
Choices:
1032
1034
1035
1036
Answer: A
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
240 m
277 m
765 m
176 m
Answer: A
Question: Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is
Choices:
3:5
4:5
6:5
7:5
Answer: B
Question: Quentin's income is 60% less than Rex's income, and Ram's income is 25% less than Quentin's income. If Rex gave 60% of his income to Ram and 40% of his income to Quentin, Quentin's new income would be what fraction of Ram's new income?
Choices:
8/9
8/13
11/13
12/13
Answer: A
Question: On a certain road 10% of the motorists exceed the posted speed limit and receive speeding tickets, but 40% 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%
15%
22%
16%
Answer: D
Question: In one hour, a boat goes 11 km/hr along the stream and 7 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
Choices:
4 km/hr
5 km/hr
6 km/hr
9 km/hr
Answer: D
Question: A watch is sold for Rs.440 cash or for Rs.200 cash down payment together with Rs.244 to be paid after one month. Find the rate of interest charged in the installment scheme.
Choices:
15%
20%
25%
None
Answer: B
Question: The MegaTek Corporation is displaying its distribution of employees by department in a circle graph. The size of each sector of the graph representing a department is proportional to the percentage of total employees in that department. If the section of the circle graph representing the manufacturing department takes up 108° of the circle, what percentage of MegaTek employees are in manufacturing?
Choices:
25%
30%
35%
72%
Answer: B
Question: Jagtap purchases 30 kg of wheat at the rate of 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg. He mixed the two and sold the mixture. Approximately at what price per kg should he sell the mixture to make 30 per cent profit?
Choices:
16.3
15.6
14.8
15.4
Answer: A
Question: Ram professes to sell his goods at the cost price but he made use of 900 grms instead of a kg, what is the gain percent?
Choices:
11 1/7
11 1/9
11 1/1
11 1/2
Answer: B
Question: There is a 20% chance that Lions will not win at all during the whole season. There is a 20% chance that Federer will not play at all in the whole season. What is the greatest possible probability that the Lions will win and Federer will play during the season?
Choices:
B)60%
C)70%
D)72%
E)80%
Answer: D
Question: If the C.I. on a sum for 2 years at 12 1/2 % per annum is Rs. 510, the S.I. on the same sum at the same rate for the same period of time is?
Choices:
485
470
480
482
Answer: C
Question: In a group of 100 adults, 75 percent of the women are left-handed. If there are 11 right-handed women in the group, how many men are in the group?
Choices:
52
56
60
62
Answer: B
Question: An unbiased die is tossed. Find the probability of getting a multiple of 3
Choices:
1/3
1
4/3
5/3
Answer: A
Question: A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes?
Choices:
100
399
277
271
Answer: A
Question: If Bob has $20 in his pocket and a bowl of ice creams sells for $5 and pizza sells for $12, which of the following COULD be true?
I. Bob can buy 4 bowls of ice cream.
II. Bob can buy 2 bowls of ice cream and pizza.
III. Bob can buy 3 bowls of ice cream and pizza.
Choices:
I only
I and III only
II and III only
I, II and III
Answer: A
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 22 seconds. The ratio of their speeds is?
Choices:
3/1
1/1
3/5
5/2
Answer: B
Question: An order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2. Subsequently, the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter. Find the ratio of the areas of the carpets in both the cases?
Choices:
8:7
8:3
8:1
8:9
Answer: A
Question: A certain store sells only black shoes and brown shoes. In a certain week, the store sold x black shoes and y brown shoes. If 1/4 of all shoes sold that week were black, which of the following expressions represents the value of y, in terms of x?
Choices:
x/2
2x/3
3x
2x
Answer: C
Question: Suppose we have six marbles: 3 blue marbles, 2 yellow marbles, and one green marble. Suppose we are going to put them into three cups: a black cup, a white cup, and a purple cup. We could put all six in any cup and leave two cups empty; or we could put marbles in two cups and leave one cup empty; or we could put some marbles in each of the three cups. How many combinations are possible?
Choices:
180
200
240
160
Answer: A
Question: If s is the product of the integers from 10 to 20 inclusive, and if t is the product of the integers from 10 to 21 inclusive, what is 1/s + 1/t in terms of t?
Choices:
22/t
26/t
28/t
30/t
Answer: A
Question: Sam purchased 20 dozens of shirts at the rate of $ 375 per dozen. He sold each one of them at the rate of $ 33. What was his percentage profit?
Choices:
4.8%
5.6%
8.2%
6%
Answer: B
Question: If t= 4p, where p is a prime number greater than 2, how many different positive even divisors does t have, including t ?
Choices:
Three
Four
Six
Eight
Answer: B
Question: A bag contains 50 tickets numbered 1,2,3,4......50 of which five are drawn at random and arranged in ascending order of magnitude.Find the probability that third drawn ticket is equal to 30.
Choices:
551/15134
551/15132
551/15196
551/15766
Answer: A
Question: R is the set of positive odd integers less than 50, and S is the set of the squares of the integers in R. How many elements does the intersection of R and S contain ?
Choices:
Two
Four
Five
Seven
Answer: B
Question: A certain essay consists of 16 paragraphs. Each paragraph contains at least 120 words but not more than 130 words. Which of the following could be the total number of words in the essay?
Choices:
1540
1640
1740
1940
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:
50035
50400
50723
33030
Answer: C
Question: A boy has 5 pens out of which a pair is to be selected for an examination. At most, how many different pairs are possible?
Choices:
10
5
40
10
Answer: D
Question: 2 hours after train A leaves Lucknow a train B leaves the same stationtraveling in the same direction at an average speed of 24 km/hr. After traveling 6 hrsthe train B overtakes the train A. What is the average speed of the train A?
Choices:
16 km/hr
17 km/hr
18 km/hr
None of these
Answer: C
Question: Three years ago the average age of a family of six members was 19 years. A boy have been born, the average age of the family is the same today. What is the age of the boy?
Choices:
1 year
6 year
8 year
2 year
Answer: A
Question: A certain psychologist charges $30 more for the first hour of therapy than for each additional hour. If the total charge to a patient who receives 5 hours of therapy is $400, what is the total charge to a patient who receives only 3 hours of therapy ?
Choices:
$135
$150
$165
$252
Answer: D
Question: C is a working partner and B and A is a sleeping partner in a business. A puts in 50,000 and B 60,000 and C puts in 40000. C gets 25% of the profit for managing the business, and the rest is divided in proportion to their capitals. Find the share of A in profit of 20000.
Choices:
4500
5400
5000
None of these
Answer: C
Question: By selling 24 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
Choices:
9
16
6
4
Answer: B
Question: A sum of money is distributed among A,B,C,D in the proportion of 5:2:4:3. If C gets $1000 more than D, what is the B's share?
Choices:
$2000
$2500
$2850
$2950
Answer: A
Question: If Renee earns a raise of between 5% and 10%, non-inclusive, by what fraction could her salary have increased?
Choices:
1/5
1/10
2/25
1/20
Answer: C
Question: Number of prime numbers between 20 and 60 is
Choices:
5
6
7
9
Answer: D
Question: In a box, there are 4 blue, 6 white and 5 yellow bulbs. One bulb is picked up randomly. What is the probability that it is neither white nor blue?
Choices:
5/15
8/32
2/32
9/32
Answer: A
Question: A man bought 10 crates of bananas for $100 total. If he lost 2 of the crates, at what price would he have to sell each of the remaining crates in order to earn a total profit of 100 percent of the total cost?
Choices:
$45
$50
$25
$40
Answer: C
Question: How many five digit numbers can be formed using digits 0,1,2,3,4,5, Which are divisible by 11, without any of the digits repeating?
Choices:
96
81
72
100
Answer: A
Question: If n = 2.0423 and n* is the decimal obtained by rounding n to the nearest hundredth, what is the value of n* – n?
Choices:
-0.0023
0.0007
0.0047
0.0153
Answer: A
Question: A seven-digit number comprises of only 2's and 3's. How many of these are multiples of 12?
Choices:
11
10
22
44
Answer: A
Question: Which of the following fractions is the largest ?
Choices:
7/8
31/40
63/80
72/80
Answer: A
Question: A searchlight on top of the watch-tower makes 6 revolutions per minute. What is the probability that a man appearing near the tower will stay in the dark for at least 10 seconds?
Choices:
1/3
1/2
2/3
1
Answer: D
Question: Suppose that fresh fruit contains 32% water and dry fruit contains 20% water. How much dry fruit can be obtained from 100kg of fresh fruit?
Choices:
B)40kg
C)52kg
D)80kg
E)85kg
Answer: D
Question: A woman is 18 years older than her son. In two years, her age will be twice the age of her son. The present age of her son is:
Choices:
16
22
23
24
Answer: A
Question: Six cards numbered from 1 to 6 are placed in an empty bowl. First one card is drawn and then put back into the bowl; then a second card is drawn. If the cards are drawn at random and if the sum of the numbers on the cards is 4, what is the probability that one of the two cards drawn is numbered 2 ?
Choices:
1/3
1/4
1/5
1/6
Answer: A
Question: A room contains 160 people, 25 percent of whom are women. A group of people, 30 percent of whom are women, leaves the room. Of the people remaining in the room, 10 percent are women. How many people left the room?
Choices:
20
40
60
120
Answer: D
Question: A vendor buys 10 t-shirts at an average price of $14 per t-shirt. He then buys 15 more t-shirts at an average price of $11 per t-shirt. What is the average price V per t-shirt that the vendor paid for these purchases?
Choices:
$12.20
$12.55
$12.70
$13.00
Answer: A
Question: A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?
Choices:
3
7
8
9
Answer: A
Question: A boat covers a distance of 30 km downstream in 2 hours while it take 6 hours to cover the same distance upstream. If the speed of the current is half of the speed of the boat then what is the speed of the boat in km per hour?
Choices:
5 kmph
10 kmph
Data inadequate
None of these
Answer: B
Question: A boat can move upstream at 50 kmph and downstream at 30 kmph, then the speed of the current is?
Choices:
10
5
9
5
Answer: A
Question: The area of a parallelogram is 288sq m and its altitude is twice the corresponding base. Then the length of the base is?
Choices:
9
7
62
12
Answer: D
Question: In a game of billiards, A can give B 20 points in 60 and he can give C 30 points in 60. How many points can B give C in a game of 100?
Choices:
61
25
72
62
Answer: B
Question: A picture is copied onto a sheet of paper 8.5 inches by 10 inches. A 1.5 inch margin is left all around. What area in square inches does the picture cover?
Choices:
65
59.5
49
38.5
Answer: D
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 56, the three numbers in order are?
Choices:
48,24,96
96,24,48
96,48,24
98,48,24
Answer: A
Question: What percent of 15 kg is 30 gms ?
Choices:
66
20
19
17
Answer: B
Question: Imagine an analog clock set to 12 o'clock. Note that the hour and minute hands overlap. How many times each day do both the hour and minute hands overlap? How would you determine the exact times of the day that this occurs?
Choices:
12
22
24
44
Answer: B
Question: A jogger running at 9 km/hr along side a railway track is 290 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
Choices:
89 sec
36 sec
87 sec
41 sec
Answer: D
Question: The probability of a team winning a match given Matt is playing the match is 0.70. The probability of the team winning a match given Matt is not playing the match is 0.5. 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:
0.8484
0.8571
0.7531
0.8213
Answer: A
Question: A set of football matches is to be organized in a "round-robin" fashion, i.e., every
participating team plays a match against every other team once and only once. If 15
matches are totally played, how many teams participated?
Choices:
5
6
7
8
Answer: B
Question: A man has Rs. 464 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:
87
95
98
100
Answer: A
Question: A jar was full with honey. A person used to draw out 20% of the honey from the jar and replaced it with sugar solution. He has repeated the same process 4 times and thus there was only 512 gm of honey left in the jar, the rest part of the jar was filled with the sugar solution. The initial amount of honey in the jar was filled with the sugar solution. The initial amount of honey in the jar was:
Choices:
1.25 kg
1.85 kg
3.25 kg
1.23 kg
Answer: A
Question: An automobile parts supplier charges $25 per package of gaskets. When a customer orders more than 10 packages of gaskets, the supplier charges 4/5 the price for each package in excess of 10. During a certain week, the supplier sold 60 packages of gaskets. If 15 percent of the gaskets went to Company X, 15 percent to Company Y, and the rest to Company Z, what was the total amount, in dollars, that the parts supplier received in payment for the gaskets?
Choices:
1340
1375
1415
1455
Answer: A
Question: Tom drives from town E to town B, driving at a constant speed of 60 miles per hour. From town B Tom immediately continues to town C. The distance between E and B is twice the distance between B and C. If the average speed of the whole journey was 36 mph, then what is Tom's speed driving from B to C in miles per hour?
Choices:
20
24
30
36
Answer: A
Question: if w,x,y,z represents the respective results obtained from rounding off the figure 8623.293 to the nearest thousand, hundred, ten and one, which of the following statements is accurate?
Choices:
x<y<z<w
x<w<z<y
z<y<x<w
d<c<b<a
Answer: A
Question: In a lottery there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a blank?
Choices:
6/7
5/7
8/7
4/3
Answer: B
Question: A train 150 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
Choices:
6
7
9
8
Answer: D
Question: If m and n are positive integers and m^2 + n^2 = 137, what is the value of m^3 + n^3?
Choices:
224
320
512
1,395
Answer: D
Question: A bakery opened yesterday with its daily supply of 40 dozen rolls. Half of the rolls were sold by noon, and 75 percent of the remaining rolls were sold between noon and closing time. How many dozen rolls had not been sold when the bakery closed yesterday?
Choices:
2
3
4
5
Answer: D
Question: A factory produces 6500 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:
2375 toys
1300 toys
1375 toys
2375 toys
Answer: B
Question: If x/2 = y/4 = z/6, then find the value of (x + y + z)/z
Choices:
1/4
1/6
1/8
None of these
Answer: D
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:
5
6
4
9
Answer: C
Question: How many ways to draw 3 balls from 16 balls pool.(balls are numbered as 1 to 16 and are distinct)
Choices:
560
660
760
860
Answer: A
Question: A welder received an order to make a 1 million liter cube-shaped tank. If he has only 4x2 meter sheets of metal that can be cut, how many metal sheets will be required for this orderT? (1 cubic meter = 1,000 liters)
Choices:
90
82
78
75
Answer: D
Question: A trader sells 5 pineapples per rupee, calculate the profit loss percentage if the trader bought the pineapples at 6 per rupee.
Choices:
20 %
30 %
50 %
40 %
Answer: A
Question: If 40% of a number is 20, then the number is
Choices:
number is 50
number is 90
number is 80
None of these
Answer: A
Question: if Juan takes 15 seconds to run y yards, how many seconds will it take him to run x yards at the same rate?
Choices:
11y/x
15x/y
11/xy
xy/11
Answer: B
Question: If 11.25 m of a uniform steel rod weighs 42.75 kg. what will be the weight of 6 m of the same rod?
Choices:
22.8 kg
28 kg
26.5 kg
None of these
Answer: A
Question: 12 men can complete a piece of work in 4 days, while 15 women can complete the same work in 4 days. 6 men start working on the job and after working for 2 days, all of them stopped working. How many women should be put on the job to complete the remaining work, if it so to be completed in 3 days?
Choices:
15 women
75 women
65 women
35 women
Answer: A
Question: John sold an item for Rs.4900/- and incurred a loss of 30%. At what price should he have sold the item to have gained a profit of 30%?
Choices:
8900
9000
9100
9200
Answer: C
Question: How long does a train 110 meters long running at the speed of 72 km/hour take to cross a bridge 132 meters in length ?
Choices:
12.1 seconds
10 seconds
8.1 seconds
None of these
Answer: A
Question: Dustin's Pizza Shop sells Bread Sticks in orders of 2 and 8. A party of 12 guests would like to have at least 2 Bread Sticks a piece. Which of the following combinations would NOT be possible.
Choices:
2 Orders of 2, and 1 order of 8
4 orders of 2, and 2 orders of 8
3 orders of 2, and 3 orders of 8
13 orders of 2
Answer: A
Question: P and Q start a business with Rs.7000 and Rs.28000 respectively. Hoe should they share their profits at the end of one year?
Choices:
1:4
1:5
1:6
4:1
Answer: A
Question: Complete the series:5, 20, 24, 6, 2, 8, ?
Choices:
12
32
42
16
Answer: A
Question: How many numbers of 5 digits can be formed with the digits 0, 1, 2, 3, 4, 6 & 8 with no digit being repeated in the same number?
Choices:
2160
4396
4500
3500
Answer: A
Question: From a pack of 52 cards, two cards are drawn together at random. What is the probability of one is a spade and one is a heart?
Choices:
5/102
1/102
8/102
13/102
Answer: D
Question: Of a certain group of 100 people, 40 graduated from High School A, 65 graduated from College Y, and 30 live in City Z. What is the greatest possible number of people in this group who did not graduate from High School A, did not graduate from College Y, and do not live in City Z ?
Choices:
15
35
65
85
Answer: B
Question: There are 15 teams in a certain league and each team plays each of the other teams exactly twice. If each game is played by 2 teams, what is the total number of games played?
Choices:
16
28
56
210
Answer: D
Question: A man rows to a place 48 km distant and come back in 14 hours. He finds that he can row 4 km with the stream in the same time as 3 km against the stream. The rate of the stream is:
Choices:
1 km/hr
4 km/hr
6 km/hr
5 km/hr
Answer: A
Question: Three candidates contested an election and received 80020, 22908 and 45000 votes respectively. What percentage of the total votes did the winning candidate get ?
Choices:
54.09
45.10%
64.10%
55.10%
Answer: A
Question: A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.2 per sq m?
Choices:
1350
2377
3772
3881
Answer: A
Question: In a division sum, the quotient is 40, the divisor 72 and the remainder 64, find the dividend?
Choices:
2944
2464
2924
2994
Answer: A
Question: A man walking at a rate of 15km/hr crosses a bridge in 20 minutes. The length of the bridge is?
Choices:
1110m
950m
1000m
1300m
Answer: C
Question: Kamal obtained 81, 68, 82, 69 and 90 marks(out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
Choices:
69
72
75
NOne
Answer: D
Question: f a < b < c , which of the following must be true?
(I) a < b^2
(II) b − a < c
(III) a^2 < b^2 < c^2
Choices:
None
II only
III only
II and III
Answer: A
Question: In a college, the ratio of the number of boys to girls is 8 : 4. If there are 200 girls, the total number of students in the college is
Choices:
520
600
720
820
Answer: B
Question: If x is real, find the maximum value of the expression -2x^2 + 3x + 5.
Choices:
6.125
8.725
11.885
13.485
Answer: A
Question: find value for x from below equation? x + 1 = -3
Choices:
-4
-1
2
3
Answer: A
Question: 0.007 x 0.45=?
Choices:
0.00315
0.315
0.0351
None of them
Answer: A
Question: Jim drove 768 miles of a 1200 miles journey. How many more miles does he need to drive to finish his journey?
Choices:
432 miles
387 miles
954 miles
556 miles
Answer: A
Question: On Monday morning, Chris receives tickets to a baseball game that will be played at 7pm on the next evening that it does not rain. However, Chris is only in town until Wednesday morning, at which point he must fly to another city. If there is a 66% chance of rain each of the next two evenings, what is the probability that Chris will be able to attend the game?
Choices:
56.44%
66%
80%
84%
Answer: A
Question: By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 5 p.c?
Choices:
38000
26688
26666
19871
Answer: A
Question: If the radius of a cylinder is doubled and height 4 times, what is the new volume of the cylinder divided by the old one?
Choices:
2.
6.
4.
16.
Answer: D
Question: The mean of 15 observations was 25. It was found later that an observation 40 was wrongly taken as 25. The corrected new mean is
Choices:
30
15
18
26
Answer: D
Question: A present value of a machine is $128000. Its value depletiation rate is 20% per annum then find the machine value after 3 years?
Choices:
B)$48000
C)$9216
D)$32450
E)$42500
Answer: B
Question: Marge has 3 pumps for filling her swimming pool. When all 3 pumps work at their maximum rates, the swimming pool is filled in 56 minutes. Pump 1's maximum rate is twice the maximum rate of pump 2 and four times the maximum rate of pump 3. How long would it take Marge to fill the pool if she used only pump 1 at its maximum rate ?
Choices:
6hrs, 32mins
1hrs, 38mins
13hrs, 4mins
14hrs, 24mins
Answer: B
Question: A car dealership has 40 cars on the lot, 10% of which are silver. If the dealership receives a new shipment of 80 cars, 25% of which are not silver, what percentage of total number of cars are silver?
Choices:
18%
20%
21%
22%
Answer: B
Question: David and ANDREW can finish the work 12 days if they work together. They worked together for 8 days and then ANDREW left. David finished the remaining work in another 8 days. In how many days David alone can finish the work?
Choices:
60 days
70 days
80 days
24 days
Answer: D
Question: In a graduating class of 232 students, 144 took geometry and 119 took biology. What is the difference between the greatest possible number R and the smallest possible number of students that could have taken both geometry and biology?
Choices:
119
113
88
31
Answer: C
Question: The largest 3 digit number exactly divisible by 88 is?
Choices:
A)9944
C)9967
D)9969
E)9970
Answer: A
Question: Donald duck can can swim his pool downstream(with the pool current helping time) in exact 40 seconds and upstream(against the pool current) in a pool in exact 60 seconds. The length of pool is 2 kilometers.
How long Donald duck can cover distance of one side at a still pool (with no current).
Choices:
45 minutes
38 minutes
48 minutes
30 minutes
Answer: C
Question: find the number, difference between number and its 3/5 is 56.
Choices:
140
144
145
150
Answer: A
Question: Given that 268x74= 19832, find the value of 2.68x.74.
Choices:
1.9832
1.5693
1.0266
None
Answer: A
Question: Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 90 kmph. In how much time will the trains cross each other?
Choices:
7
9
2
10
Answer: D
Question: The product of digit is a Factor of a two digit number. Number of such digit are:
Choices:
18
19
17
11
Answer: A
Question: Sita and Sinu together can do a work in 50 days. With the help of Smitha, they completed the work in 6 days and earn Rs.250. What is the share of Sinu if Sita alone can do the work in 100 days?
Choices:
Rs.15
Rs.20
Rs.25
Rs.35
Answer: A
Question: The area of a square is equal to five times the area of a rectangle of dimensions 125 cm * 64 cm. What is the perimeter of the square?
Choices:
800 cm
266 cm
181 cm
188 cm
Answer: A
Question: The ratio of money with Ram and Gopal is 7 : 17 and that with Gopal and Krishan is 7: 17. If Ram has Rs. 637, Krishan has ?
Choices:
s. 2330
s. 3757
s. 1620
s. 2680
Answer: B
Question: A fruit drink is made of orange, watermelon, and grape juice, where 15 percent of the drink is orange juice and 60 percent is watermelon juice. If the drink is made with 30 ounces of grape juice, how many ounces is the drink total?
Choices:
120
190
200
400
Answer: A
Question: It takes 40 identical printing presses 15 hours to print 500,000 papers. How many hours would it take 30 of these printing presses to print 500,000 papers?
Choices:
18
20
21
24
Answer: B
Question: If n is a natural number, then (6n^2 + 6n) is always divisible by
Choices:
6 and 12 both
12 only
18 only
12 and 18 both
Answer: A
Question: If 5% more is gained by selling an article for Rs. 600 than by selling it for Rs. 580, the cost of the article is?
Choices:
688
400
121
123
Answer: B
Question: The average of four positive integers is 69. The highest integer is 93 and the least integer is 39. The difference between the remaining two integers is 24. Which of the following integers is the higher of the remaining two integers?
Choices:
86
84
22
55
Answer: B
Question: A committee of two students has to be formed. There are five candidates: Jane, Joan, Paul, Stuart, and Jessica. If Paul and Stuart refuse to be in the committee together and Jane refuses to be in the committee without Paul, how many committees are possible?
Choices:
4
5
6
8
Answer: A
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 8 seconds. What is the length of the fast train ?
Choices:
44 4/9
29 7/9
30 7/9
None of these
Answer: A
Question: In 10 years, A will be twice as old as B was 10 years ago. If A is now 9 years older than B, the present age of B is
Choices:
66
39
28
21
Answer: B
Question: The average age of 36 students in a group is 14 years. When teacher's age is included to it, the average increases by one. What is the teacher's age in years ?
Choices:
45 years
51 years
54 years
None of these
Answer: B
Question: When positive integer A is divided by positive integer B, the result is 9.44. Which of the following could be the reminder when A is divided by B?
Choices:
11
15
24
19
Answer: A
Question: Randy'sbar serves customers every weeknight from 5 pm to 2 am. In Randy's bar,Silvermoonbeer is sold at a constant rate except during happy hour, from 6:30 to 7:30 pm, when the rate triples.
If a keg of Silvermoon beer is half empty at 5pm on Monday, and two-thirds empty at the beginning of the happy hour, when will it be completely empty?
Choices:
Monday, 9 pm
Monday, 7 pm
Monday, 7:45 pm
Monday, 9:30 pm
Answer: C
Question: If a, b, and c are consecutive positive even integers and a > b > c, which of the following could be equal to a + b - c ?
Choices:
2
-1
-3
-4
Answer: A
Question: The cost of producing x tools by a company is given by
C(x) = 600 x + 5500 (in $)
a) What is the cost of 100 tools?
Choices:
65500 $
125900 $
6500 $
122500 $
Answer: A
Question: Instead of multiplying a number by 3, the number is divided by 5. What is the percentage of error obtained ?
Choices:
91.33%
95.33%
93.33%
94.33%
Answer: C
Question: Two workers A and B working together completed a job in 5 days. If A worked twice as efficiently as he actually did and B worked 1⁄3 as efficiently as he actually did, the work would have completed in 3 days. Find the time for A to complete the job alone.
Choices:
6 1⁄4 days
5 days
3 days
None of these
Answer: A
Question: 4 liters of a 25 percent solution of alcohol in water are mixed with 3 liters of a 11 percent alcohol in water solution. What is the percentage of alcohol in the new solution?
Choices:
18.6%
19.0%
19.4%
19.8%
Answer: B
Question: {5, 6, 3, 8, 4}
If we want to get the median value of the set to be 10 which value should be inserted in the set of 5 values?
Choices:
7
15
12
13
Answer: A
Question: In the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30. In the "sport" formulation, the ratio of flavoring to corn syrup is three times as great as in the standard formulation, and the ratio of flavoring to water is half that of the standard formulation. If a large bottle of the "sport" formulation contains 3 ounces of corn syrup, how many ounces of water does it contain?
Choices:
45
55
60
63
Answer: A
Question: A car takes 6 hours to cover a distance of 450 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
Choices:
50 Kmph
52 Kmph
56 Kmph
60 Kmph
Answer: A
Question: If radius of a circle is diminished by 10% then its area is diminished by
Choices:
19
877
26
271
Answer: A
Question: From a group of boys and girls, 15 girls leave. They are then left 2 boys for each girl. After this, 45 boys leave. There are then 5 girls for each boy. Find the number of girls in the beginning
Choices:
10
30
50
40
Answer: D
Question: You collect baseball cards. Suppose you start out with 16. Since you're nice, you give John 7 baseball cards. How many baseball cards do you have at the end?
Choices:
12
13
9
15
Answer: C
Question: The current birth rate per Two thousand is 52, whereas corresponding death rate is 21 per two thousand. The net growth rate in terms of population increase in percent is given by
Choices:
1.45%
1.25%
1.35%
2.10%
Answer: C
Question: A circular rim 28 inches in a diameter rotates the same number of inches per second as a circular rim 35 inches in diameter. If the smaller rim makes D revilutions per second, how many revilutions per minute does the larger rim makes in terms of D?
Choices:
b) 75m
c) 48D
d) 24D
e) D/75
Answer: B
Question: In Rwanda, the chance for rain on any given day is 1/2. What is the probability that it rains on 4 out of 9 consecutive days in Rwanda?
Choices:
3/7
63/256
4/28
28/135
Answer: B
Question: A person can walk at a constant rate of 8mph and can bike at a rate of 24mph. If he wants to travel 80 miles in 8 hours using bike and walking at their constant rates, how much distance would he require to walk?
Choices:
30
56
60
72
Answer: B
Question: A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
Choices:
111.12 meters
112.12 meters
113.12 meters
None of these
Answer: A
Question: The cash realised on selling a 14% stock is Rs.120.50, brokerage being 1/4% is
Choices:
120.25
106.5
156
240
Answer: A
Question: In how many ways the letters of the word RAIXBON be arranged?
Choices:
4432
3532
5040
7349
Answer: C
Question: In a kilometer race, A beats B by 51 meters or 11 seconds. What time does A take to complete the race?
Choices:
190
277
204
208
Answer: C
Question: If 75 percent of 600 is 50 percent of x, then x=?
Choices:
900
1000
1100
1200
Answer: A
Question: How many integers are divisible by 9 between 10! and 10! + 100 inclusive?
Choices:
7
8
9
10
Answer: D
Question: A is a working partner and B is a sleeping partner in the business. A puts in Rs.15000 and B Rs.25000, A receives 10% of the profit for managing the business the rest being divided in proportion of their capitals. Out of a total profit of Rs.9600, money received by A is?
Choices:
4220
4211
4200
4212
Answer: C
Question: A customer purchased a package of ground beef at a cost of $1.95 per pound. For the same amount of money, the customer could have purchased a piece of steak that weighed 35 percent less than the package of ground beef. What was the cost per pound of the steak?
Choices:
$2.75
$3.00
$3.25
$3.50
Answer: B
Question: In a single throw of a die, what is probability of getting a number greater than 4?
Choices:
1/3
4/6
1/6
5/6
Answer: A
Question: What is the average of 1/2, 3/5 and 3/10?
Choices:
7/15
2/5
1/2
6/5
Answer: A
Question: A, B and C completed a piece of work, A worked for 6 days, B for 9 days and C for 4 days. Their daily wages were in the ratio of 3:4:5. Find the daily wages of C, if their total earning was Rs.1480?
Choices:
108Rs
100Rs
160Rs
103Rs
Answer: B
Question: During a Pizza buffet where A eats more times 5 than B, and B eats 7 times less than C.find the least number of times all the three has to eat
Choices:
35
25
28
42
Answer: A
Question: A certain factory produces buttons and buckles at a uniform weight. If the total weight of 2 buttons and 2 buckles is one third of 11 buckles and 3 buttons, then the weight of 3 buttons and 1 buckles is how many times that of 5 buckles and 6 buttons?
Choices:
2/5.
6/11.
5/9.
8/15.
Answer: A
Question: The average of the first five multiples of 9 is:
Choices:
27
28
30
None of these
Answer: A
Question: Find the ratio in which wheat of inferior quality (Rs.14/kg) be mixed with wheat of superior quality (Rs.28/kg) so that the shopkeeper gains Rs.2 by selling the resulting mixture at Rs.20/kg.
Choices:
5 : 2
5 : 3
5 : 1
5 : 8
Answer: A
Question: A can complete a project in 20 days and B can complete the same project in 30 days. If A and B start working on the project together and B quits 10 days before the project is completed, in how many days total will the project be completed?
Choices:
27
26
16
12
Answer: C
Question: In a certain parking lot, 3% of the cars are towed for parking illegally. However 80% of the cars which are parked illegally are not towed. What % of cars in the parking lot are parked illegally.'
Choices:
13
15
60
75
Answer: B
Question: What is the sum of the first 21 natural numbers (starting from 1)?
Choices:
201
211
221
231
Answer: D
Question: If the perimeter of a square and a rectangle is equal to one another, find out the ratio of the area of both these shapes in case the sides of the rectangle are in the
ratio of 2 :5.
Choices:
40 : 49
4 : 5
5 : 6
4 : 9
Answer: A
Question: If, when the two parties of knights encounter one another after a month, exactly one knight changes from one travelling party to the other travelling party, that knight must be
Choices:
Q
R
S
T
Answer: A
Question: By selling an article at Rs.400, a profit of 25% is made. Find its cost price?
Choices:
320
287
480
811
Answer: A
Question: The price of an article has been reduced by 35%. In order to restore the original price the new price must be increased by ?
Choices:
B) 49.25 %
47.2 %
53.84 %
None of these
Answer: C
Question: which of the following inequalities indicates the set of all values of d for which the lengths Q of the three sides of a triangle can be 3,4, and d?
Choices:
0<d<5
0<d<7
1<d<5
1<d<7
Answer: D
Question: Joe’s average (arithmetic mean) test score across 4 equally weighted tests was 35. He was allowed to drop his lowest score. After doing so, his average test score improved to 40. What is the lowest test score that was dropped?
Choices:
20
55
65
80
Answer: A
Question: When Rajeev was born, his father was 32 years older than his brother and his mother was 25 years older than his sister. If Rajeev's brother is 6 years older than Rajeev and his mother is 3 years younger than his father, how old was Rajeev's sister when Rajeev was born?
Choices:
10 years
12 years
13 years
14 years
Answer: A
Question: If (x^2 + 1)y=4, which of the following is not a possible value for y?
Choices:
2
4/3
4
9/2
Answer: D
Question: The ratio of the area of a square to that of the square drawn on its diagonal is?
Choices:
4/13
4/11
4/19
4/12
Answer: A
Question: Find the surface area of a 10 cm × 4 cm × 3 cm brick.
Choices:
124 sq. cm
164 sq. cm
180 sq. cm
None of these
Answer: B
Question: Find the length of the longest pole that can be placed in a room 12 m long 8m broad and 9m high.
Choices:
77m
88m
17m
16m
Answer: C
Question: A man swims downstream 60 km and upstream 40 km taking 4 hours each time; what is the speed of the current?
Choices:
2.5 kmph
13 kmph
6.5 kmph
7:3kmph
Answer: A
Question: A Cone and a sphere have equal radii and equal volumes. Find the ratio of the sphere of the diameter of the sphere to the height of the cone.
Choices:
1:2
1:6
1:7
1:8
Answer: A
Question: The speed of a boat in upstream is 85 kmph and the speed of the boat downstream is 185 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
99
77
50
22
Answer: C
Question: If the height of a cone is increased by 160% then its volume is increased by?
Choices:
777
998
729
160
Answer: D
Question: In an election only two candidates contested. A candidate secured 70% of the valid votes and won by a majority of 176 votes. Find the total number of valid votes?
Choices:
440
436
434
422
Answer: A
Question: If P, Q, and R are distinct positive digits and the product of the two-digit integers PQ and PR is 221, what is the sum of the digits P, Q, and R?
Choices:
11
13
21
23
Answer: A
Question: A is twice as good a workman as B and they took 7 days together to do the work B alone can do it in.
Choices:
55 days
21 days
77 days
44 days
Answer: B