antoine-444/aqua_rat_dataset huggingface dataset:
Question: If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?
Choices:
2:3
5:3
3:7
9:13
Answer: B
Question: Last month, John rejected 0.7% of the products that he inspected and Jane rejected 0.8 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:
1/2
5/8
5/6
15/16
Answer: A
Question: A student chose a number, multiplied it by 2, then subtracted 138 from the result and got 112. What was the number he chose?
Choices:
267
125
267
120
Answer: B
Question: A trader has 1600Kg of sugar. He sells a part at 8% profit and the rest at 12% profit. If he gains 11%
on the whole , find the quantity sold at 12%.
Choices:
1200 Kg
1600 Kg
800 Kg
None of these
Answer: A
Question: Tom planted vegetables in a rectangular garden that was 24 feet long and 15 feet wide. He used
1/3 of the area for corn and 1/5 of it for peas. How many square feet are left for other vegetables?
Choices:
166 sq. ft.
167 sq. ft.
168 sq. ft.
169 sq. ft.
Answer: C
Question: Six bells commence tolling together and toll at the intervals of 2,4,6,8,10,12 seconds resp. In 60 minutes how many times they will toll together.
Choices:
16
30
31
32
Answer: C
Question: 0.003 * ? * 0.0003 = 0.00000027
Choices:
3
0.3
0.03
None of these
Answer: B
Question: Two sets A and B consists only of positive integers such that mean of set A is 70 . If set R consist of all the elements of both A and B such that mean of R is 80 then the mean of set B is =>
Choices:
[B] 60
[C] 70
[D] 55
[E] cannot be determined
Answer: D
Question: A certain car traveled twice as many miles from Town A to Town B as it did from Town B to Town C. From Town A to Town B, the car averaged 8 miles per gallon, and from Town B to Town C, the car averaged 18 miles per gallon. What is the average miles per gallon that the car achieved on its trip from Town A through Town B to Town C?
Choices:
15.5
14
14.5
15
Answer: A
Question: The Fisherman sale, all of the prices of the fishes sold were different. If the price of a radio sold at the fisherman sale was both the 4th highest price and the 13th lowest price among the prices of the fishes sold, how many fishes were sold at the fisherman sale?
Choices:
14
15
41
16
Answer: D
Question: Each of the following equations has at least one solution EXCEPT A. Is it true?
Choices:
-3*a = -3-a
2* -a = (–2)*a
(–2)-a = –2-a
-2*-a = 2a
Answer: A
Question: A new tower has just been built at the Verbico military hospital; the number of beds available for patients at the hospital is now 7 times the number available before the new tower was built. Currently, 1/3 of the hospital's original beds, as well as 1/5 of the beds in the new tower, are occupied. For the purposes of renovating the hospital's original wing, all of the patients in the hospital's original beds must be transferred to beds in the new tower. If patients are neither admitted nor discharged during the transfer, what fraction of the beds in the new tower will be unoccupied once the transfer is complete?
Choices:
67/90
17/30
19/30
11/15
Answer: A
Question: 5+3
Choices:
8
28
6
2
Answer: A
Question: A boy can reach a certain place in 15 hours. If he reduces his speed by 1/30th, he goes 4 km less in that time. Find his speed.
Choices:
6 km/hr
8 km/hr
14 km/hr
None of these
Answer: B
Question: A dealer purchases 15 articles for Rs. 25 and sells 12 articles for Rs. 30. Find the profit percentage?
Choices:
50
99
87
71
Answer: A
Question: If A=x% of y and B=y% of x, then which of the following is true?
Choices:
A is greater than B.
Relationship between A and B cannot be determined.
If x is smaller than y, then A is greater than B.
None of these
Answer: D
Question: A certain sum is invested at simple interest at 18% p.a. for two years instead of investing at 12% p.a. for the same time period. Therefore the interest received is more by Rs. 504. Find the sum?
Choices:
7029
2778
4200
2791
Answer: C
Question: Solve the given two equations and find the inequality of X and Y. (a) 3X^2+8X+4 = 0 and (b) 4Y^2-19Y+12= 0
Choices:
If x>=y
If x<y
If x<=y
x=y or relationship cannot be established
Answer: B
Question: What is the greatest possible (straight line) distance, between any two points on a hemisphere of radius 5?
Choices:
10
π/10
8
π
Answer: A
Question: Find the simple interest on Rs.850 for 10 months at 7 paisa per month?
Choices:
s.329
s.595
s.600
s.725
Answer: B
Question: What is the next number of the following sequence
1,3,4,5,6,7,8,9,1,9,16,25,36,49,64...
Choices:
15
81
17
18
Answer: B
Question: If x and y are integer, which of the following must also be an integer?
I. x/y
II. y/x
III. x
Choices:
II alone
III alone
I and III
None of the above
Answer: B
Question: A number increased by 20% gives 480. The number is?
Choices:
300
400
500
600
Answer: B
Question: Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 26 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
Choices:
564
877
278
178
Answer: A
Question: 1/2 + [(2/3 * 3/2)/4] - 9/16 =
Choices:
3/16
15/16
9/13
0
Answer: A
Question: A Prototype fuel-efficient car (P-Car) is estimated to get 70% more miles per gallon of gasoline
than does a traditional fuel-efficient car (T-Car). However, the P-Car requires a special type
of gasoline that costs 30% more per gallon than does the gasoline used by a T-Car. If the two
cars are driven the same distance, what percent less than the money spent on gasoline for the
T-Car is the money spent on gasoline for the P-Car?
Choices:
23.53 %
50%
60%
66 2/3 %
Answer: A
Question: Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Choices:
40
48
56
34
Answer: B
Question: John walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 10 minutes earlier. How far is the office from his house?
Choices:
3 3/5 Km
4 1/5 Km
5 1/5 Km
None
Answer: A
Question: If Tim had lunch at $50.50 and he gave 30% tip, how much did he spend?
Choices:
B)$35.42
C)$65.65
D)$21.56
E)$78.45
Answer: B
Question: Vertices of a quadrilateral ABCD are A(0, 0), B(4, 5), C(9, 9) and D(5, 4). What is the shape of the quadrilateral?
Choices:
Rectangle but not a square
Rhombus
Parallelogram but not a rhombus
Kite
Answer: B
Question: The events A and B are independent. The probability that event A occurs is m and the probability that event B occurs is n. Which of the following is equal to the probability that exactly one of the events A and B occurs?
Choices:
n − mn
m + n − 2mn
m + n − mn
m + n
Answer: C
Question: Two boys starts from the same place walking at the rate of 5 kmph and 5.5 kmph respectively in the same direction. What time will they take to be 8.5 km apart?
Choices:
17
21
26
18
Answer: A
Question: A starts a business with a capital of Rs. 8500. B joins in the business with Rs.17000 after some time. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?
Choices:
2 months
7 months
8 months
None of these
Answer: A
Question: If the wheel is 19 cm then the number of revolutions to cover a distance of 1156 cm is?
Choices:
14
18
10
19
Answer: C
Question: A photo-mat shop charges $0.40 for the first photo inside a film, and 40% cents less for each additional photo. How many photos can we develop with $24 if each film contains 36 photos?
Choices:
2 films and 26 photos
5 films and 14 photos
6 films and 4 photos
6 films and 28 photos
Answer: A
Question: If the consumer price index for a sample of goods and services purchased in Dallas rose from 100 at the end of 1967 to x at the end of 1985, what was the average W(arithmetic mean) annual increase in the index over this period?
Choices:
x/18
(100 − x)/18
(x − 100)/18
100x/18
Answer: C
Question: Mr. Smitherly leaves Cedar Rapids at 8:00 a.m. and drives north on the highway at an average speed of 50 km per hour. Mr. Dinkle leaves Cedar Rapids at 9:00 a.m. and drives north on the same highway at an average speed of 75 km per hour. Mr. Dinkle will
Choices:
overtake Mr. Smitherly at 10:30 am
overtake Mr. Smitherly at 11:00 am
be 30 miles behind at 9:35 am
never overtake Mr. Smitherly
Answer: B
Question: A take twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in?
Choices:
12
66
88
55
Answer: A
Question: What will come in place of the x in the following Number series? 46080, 3840, 384, 48, 8, 2, x
Choices:
1
34
12
13
Answer: A
Question: 60% of the population of a village is 23040. The total population of the village is ?
Choices:
38400
24936
25640
None
Answer: A
Question: B is 8km East of A. C is 6km North of B. D is 12km East of C. E is 16km North of D. What is the distance b/w A and E.
Choices:
22km
18km
30km
33km
Answer: C
Question: If two numbers x, a perfect square and y, a perfect cube are added results a two digit number, whose digits if reversed, difference is 18, Find x and y ?
Choices:
x=4,y=9
x=4,y=27
x=4,y=9
x=5,y=8
Answer: B
Question: On the independence day, bananas were be equally distributed among the children in a school so that each child would get two bananas. On the particular day 360 children were absent and as a result each child got two extra bananas. Find the actual number of children in the school?
Choices:
287
197
287
720
Answer: D
Question: The length R of a rectangle is decreased by 15% and its width is increased by 40%. Does the area of the rectangle decrease or increase and by what percent?
Choices:
Decreases by 25%
Increases by 6%
Increases by 19%
Increases by 25%
Answer: C
Question: A and B start a business jointly. A invests Rs.16000 for 8 months and B remains in the business for 4 months. Out of the total profit B claims 2/7th share. How much money is contributed by B?
Choices:
12800
12819
12818
12812
Answer: A
Question: Use distributive property to solve the problem below:
Maria bought 15 notebooks and 6 pens costing 2 dollars each.How much did Maria pay?
Choices:
40 dollars
50 dollars
42 dollars
70 dollars
Answer: C
Question: The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places?
Choices:
144
627
255
142
Answer: A
Question: An express traveled at an average speed of 100 km/hr, stopping for 4 min after every 75 km. How long did it take to reach its destination 450 km from the starting point ?
Choices:
4 hrs 50 min
2 hrs 28 min
6 hrs 28 min
1 hrs 28 min
Answer: A
Question: The average age of man, women and their child 3 years ago was 27 years and that of women and the child 5 years ago was 20 years. The presentage of the man is?
Choices:
37
40
41
56
Answer: B
Question: Pointing to a person, a man said to a woman, "His mother is the only daughter of your father." How was the woman related to the person ?
Choices:
Aunt
father
mother
sister
Answer: A
Question: In a certain store, the profit is 320% of the cost. If the cost increases by 20% but the selling price
remains constant, approximately what percentage of the selling price is the profit
Choices:
71%
90%
100%
None of above
Answer: A
Question: There are two sets A and B. The range of set A is 7, and the range of set B is 13. If the two sets are combined and get a new set E, which cannot be the range of the set E?
Choices:
B.11
C.14
D.17
E.21
Answer: A
Question: A large field of 700 hectares is divided into two parts. The difference of the areas of the two parts is one-fifth of the average of the two areas. What is the area of the smaller part in hectares?
Choices:
365
385
315
325
Answer: C
Question: If n is an integer and 101n^2 is less than or equal to 8100, what is the greatest possible value of n?
Choices:
8
9
10
11
Answer: A
Question: A shopkeeper buys mangoes at the rate of 4 a rupee and sells them at 3 a rupee. Find his net profit or loss percent?
Choices:
28%
33 1/3 %
35 2/7 %
25%
Answer: B
Question: How many terms are there in 2,4,8,16……1024?
Choices:
10
16
18
20
Answer: A
Question: What is the smallest integer k for which 64^k > 4^20?
Choices:
5
6
7
8
Answer: C
Question: Jake remembers only the last three letters of his four-letter Klingon name. If he is sure that the first letter is neither "N" nor "Z", and assuming that there are only 14 letters in the Klingon alphabet, what is the probability that he will give the correct name when asked for it by the space attendant?
Choices:
A)1/12
C)1/8
D)4/5
E)9/10
Answer: A
Question: Working alone at its constant rate, machine K took 3 hours to produce 1/5 of the units produced last Friday. Then machine M started working and the two machines, working simultaneously at their respective constant rates, took 6 hours to produce the rest of the units produced last Friday. How many hours would it have taken machine M, working alone at its constant rate, to produce all of the units produced last Friday?
Choices:
12
15
25
30
Answer: B
Question: Pablo plays 3 rounds of a game, in which his chances of winning each round are 1/7, 1/2, and 1/n, respectively. If n ≠ 0, what is the probability that Pablo wins the first two rounds, but loses the third?
Choices:
(n-1)/14n
1/7n
(n+2)/72n
(3n-2)/2n
Answer: A
Question: A and B complete a work in 8 days. A alone can do it in 12 days. If both together can do the work in how many days?
Choices:
4.8 days
3.65 days
3.77 days
5.75 days
Answer: A
Question: Aishwarya’s mom was 36 years of age at the time of her birth, while her mom was 30 years old when her 4 years younger sister was born. The variance between the parents ages is :
Choices:
11 years
10 years
9 years
4 years
Answer: B
Question: A train running at the speed of 60 km/hr crosses a pole in 6 sec. What is the length of the train?
Choices:
100 m
324 m
Cannot be determined
None of these
Answer: A
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 T of the sum of the 21 numbers in the list?
Choices:
1/6
1/5
4/21
5/21
Answer: A
Question: The difference between the compound interest and simple interest on a certain sum at 10% per annum for 2years is $631. Find the sum?
Choices:
$61000
$71540
$63100
$56210
Answer: C
Question: Thrice the square of a natural number decreased by 4 times the number is equal to 50 more than the number. The number is:
Choices:
5
6
7
10
Answer: A
Question: The length of a brigade which a train 130 m long and traveling at 45kmph can cross in 30 seconds, is
Choices:
220 mts
230 mts
245 mts
None of these
Answer: C
Question: A shopkeeper’s price is 50% above the cost price. If he allows his customer a discount of 30% what profit does he make?
Choices:
5%
15%
20%
None of these
Answer: A
Question: Rs.8000 become Rs.9261 in a certain interval of time at the rate of 5% per annum of C.I. Find the time?
Choices:
5
6
3
2
Answer: C
Question: What is the least possible value of x^2-15 where x is a positive number.
Choices:
-14
-13
-12
-11
Answer: A
Question: The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on atleast one ticket is ?
Choices:
187 km/hr
179 km/hr
120 km/hr
169 km/hr
Answer: C
Question: If a and y are positive integer and a/y is an even integer, which of the following can be an odd integer?
Choices:
xy
x−y
x+2y
a/3
Answer: D
Question: If cost of 15 eggs be 75 rupees, then find out the cost of 4 dozen eggs.
Choices:
240
500
600
700
Answer: A
Question: Convert the 10/36 m/s into kilometers per hour?
Choices:
9.9 kmph
1.3 kmph
1 kmph
5.7 kmph
Answer: C
Question: Find the total no of 10 digits whose sum is 4.
Choices:
220
230
240
250
Answer: A
Question: If 1.5 x= 0.04 y, then the value of (y-x) (y+x) is:
Choices:
1405.25
1205.25
1505.25
1605.25
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 68 km downstream?
Choices:
3 hours
4 hours
5 hours
None
Answer: B
Question: 9 men working 7 hours a day can complete a piece of work in 15 days. How many days can 6 men working for 9 hours a day, complete the same piece of work?
Choices:
16 days
16 ¾ days
17 ½ days
18 days
Answer: C
Question: A biker covered half the distance between two towns in 2 hr 30 min. After that he increased his speed by 2 km/hr. He covered the second half of the distance in 2 hr 20 min. Find the distance between the two towns and the initial speed of the biker.
Choices:
140
287
167
111
Answer: A
Question: A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current?
Choices:
1.5
1.1
1.3
1.2
Answer: A
Question: The total surface area of a solid hemisphere of diameter 14 cm, is :
Choices:
462 cm²
1345 cm²
1788 cm²
None
Answer: A
Question: Can you replace the question mark with the correct number, given the pair of numbers exhibits similar relationship?
? : 3839 :: 11 : 1209
Choices:
16
26
36
46
Answer: A
Question: If the S.P of Rs. 24 results in a 20% discount on the list price, What S.P would result in a 30% discount on the list price?
Choices:
Rs. 21
Rs.20
Rs. 9
Rs. 10
Answer: A
Question: What is 10-8+6-4+...+(-18)?
Choices:
10
12
-4
16
Answer: C
Question: In what ratio mental A at Rs.68 per kg be mixed with another metal at Rs.96 per kg so that cost of alloy (mixture) is Rs.76 per kg?
Choices:
4:7
3:7
9:5
5:2
Answer: D
Question: The sum of the non-prime numbers between 10 and 20, non-inclusive, is
Choices:
75
90
105
120
Answer: A
Question: Two persons start running simultaneously around a circular track of length 100 m from the same point at speeds of 5 km/hr and 13 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
Choices:
20 sec
17 sec
23 sec
27 sec
Answer: A
Question: At what time between 7 and 8 o'clock will the hands of a clock be in the same straight line but, not together?
Choices:
5(2/11) min. past 7
5(3/11) min. past 7
5(5/11) min. past 7
5(5/11) min. past 8
Answer: C
Question: A certain sum of money is invested for one year at a certain rate of simple interest. If the rate of interest were 3% higher, then revenue earned would be 20% higher. What is the rate of interest?
Choices:
4% p.a.
12% p.a.
15% p.a.
18% p.a.
Answer: C
Question: In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples?
Choices:
5/21
5/12
5/29
5/21
Answer: A
Question: A company’s four cars running 8 hrs a day consume 1200 lts of fuel in 10 days. In the next 6 days, the company will need to run 9 cars for 12 hrs each so it rents 5 more cars which consume 20% less fuel than the company’s four cars. How many lts of fuel will be consumed in the next 6 days?
Choices:
1555 lt
1664 lt
1728 lt
2160 lt
Answer: D
Question: Sandy walks around a circular field at the rate of one round per hour while Molly runs around it at the rate of three rounds per hour. If they start in the same direction from the same point, how many minutes will it take until they meet again?
Choices:
30
45
60
75
Answer: A
Question: If it takes 10 days to dig a trench 100 m long, 50 m broad and 10 m deep, what length of trench, 25 m broad and 15 m deep can be dug in 30 days ?
Choices:
400 m
100 m
88(8 / 9) m
89(8 / 9) m
Answer: A
Question: A rectangular field is 63 yards long and 21 yards wide. A fence is needed for the perimeter of the
field. Fencing is also needed to divide the field into three square sections. How many feet of fencing
are needed? (It is a good idea to make a drawing for this one.)
Choices:
630 ft
430 ft
330 ft
230 ft
Answer: A
Question: The equation (M + )/21 = (p – 7)/21 relates two temperature scales, where M is the number of degrees on one scale and P is the number of degrees on the other scale. Which of the following equations can be used to convert temperatures from the P scale to the M scale?
Choices:
P-7
P-8
P-6
P-5
Answer: A
Question: Series E(n) is such that i*E(i) = j*E(j) for any pair of positive integers (i, j). If E(1) is a positive integer, which of the following is possible?
I. 2*E(100) = E(99) + E(98)
II. E(1) is the only integer in the series
III. The series does not contain negative numbers
Choices:
II only
IIII only
IIIII only
I, IIIII
Answer: C
Question: If a man walks to his office at 3/4 of his usual rate, he reaches office 1/3 of an hour later than usual. What is his usual time to reach office.
Choices:
1 hr
3⁄4 hr
2 hrs
None of these
Answer: A
Question: Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a man in the slower train in 27 seconds. Find the length of the faster train?
Choices:
260 m
240 m
270 m
280 m
Answer: C
Question: An accurate clock shows 8 o'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 11 o'clock in the morning?
Choices:
60
90
120
150
Answer: B
Question: There are 18 stations between Hyderabad and Bangalore. How many second class tickets have to be printed, so that a passenger can travel from any station to any other station?
Choices:
380
400
800
250
Answer: A
Question: Two cars are traveling in the same direction along the same route. The red car travels at a constant speed of 20 miles per hour, and the black car is traveling at a constant speed of 50 miles per hour. If the red car is 20 miles ahead of the black car, how many hours will it take the black car to overtake the red car?
Choices:
0.6
1
1.5
2
Answer: A
Question: The side of a rhombus is 26 m and length of one of its diagonals is 20 m. The area of the rhombus is?
Choices:
208
200
480
261
Answer: C
Question: Jane earned enough money by selling seashells at 25 cents each to buy several used paperback books at 55 cents each. If he spent all of the money he earned selling seashells to buy the books, what is the least number of seashells he could have sold ?
Choices:
10
17
22
30
Answer: C
Question: Evaluate :	136.09 + 43.9
Choices:
3000
7000
5000
2000
Answer: C
Question: A manufacturer of a certain product can expect that between 0.3 percent and 0.5 percent of the units manufactured will be defective. If the retail price is $1,500 per unit and the manufacturer offers a full refund for defective units, how much money can the manufacturer expect to need to cover the refunds on 20,000 units?
Choices:
Between $90,000 and $150,000
Between $60,000 and $100,000
Between $150,000 and $250,000
Between $300,000 and $500,000
Answer: A
Question: If the height of an equilateral triangle WBC is equal in length to the hypotenuse of an isosceles right triangle DEF, a side of ΔWBC is how many times as long as a leg of the right triangle DEF?
Choices:
(√3)/(√2)
√2
(2√2)/(√3)
2/(√3)
Answer: C
Question: If the length of a rectangle is increased by 10% and the area is unchanged , then its corresponding breadth must be decreased by?
Choices:
9 1/15
9 1/16
9 1/11
9 1/10
Answer: D
Question: Find the remainder when 6^50 is divided by 215
Choices:
35
36
37
38
Answer: B
Question: Payal finished 2/3 of a book. She calculated that she finished 20 more pages than she has yet to read. How long is her book?
Choices:
A)60
C)130
D)90
E)210
Answer: A
Question: If the letters of the word SACHIN are arranged in all possible ways and these words are written out as in dictionary, then the word ‘SACHIN’ appears at serial number :
Choices:
604
611
511
601
Answer: D
Question: A person travels from P to Q at a speed of 40 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips ?
Choices:
46 km/hour
48 km/hour
50 km/hour
None of these
Answer: B
Question: In a 2000 m race, A beats B by 180 meters or 50 seconds. Find the speed of B?
Choices:
3.6m/s
5m/s
7m/s
3m/s
Answer: A
Question: A starts a business with a capital of Rs. 8500. B joins in the business with Rs.8500 after some time. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?
Choices:
4 months
7 months
8 months
None of these
Answer: A
Question: How many times does the minute hand to go around the clock in one day?
Choices:
1416
1432
1400
1300
Answer: A
Question: A person travels equal distances with speeds of 9 km/hr, 10km/hr and 11 km/hr and takes a total time of 47 minutes. The total distance is?
Choices:
3 km
8 km
9 km
2 km
Answer: B
Question: How many cases do you need if you have to pack 240 pairs of shoes into cases that each hold 24 shoes?
Choices:
15
20
25
30
Answer: B
Question: The average weight of 19 students is 15kg. by the admission of a new student the average weight is reduced to 14.9 kg. the weight of the new student is ?
Choices:
10.8 kg
11 kg
13 kg
None
Answer: C
Question: In a group of ducks and cows, the total number of legs are 28 more than twice the no. of heads. Find the total no.of buffaloes.
Choices:
12
13
15
14
Answer: D
Question: A type R machine can complete a job in 5 hours and a type B machine can complete the job in 7 hours. How many hours will it take 2 type R machines and 3 type B machines working together and independently to complete the job?
Choices:
29/35
5/6
35/29
35/12
Answer: C
Question: 0.0008?=0.02
Choices:
4
0.4
None of these
0.04
Answer: D
Question: 3 pumps working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?
Choices:
77
36
49
38
Answer: C
Question: A started a bussiness with a sum of Rs. 14000. After 4 months, B entered with an amount of Rs. 12000 and A added another 2,000 in the business. After 6 months, C entered with Rs. 20000 and 'B' withdrew Rs. 2000 from the business. What will be C's share of profit out of a total profit of Rs. 94000 at the end of 2 years.
Choices:
Rs. 204000
Rs. 36000
Rs. 18000
Rs. 260000
Answer: B
Question: A box contains nine slips that are each labeled with one number: 1, 3, 5, 8, 13, 21, 34 and 55. Two of the slips are drawn at random from the box without replacement. What is the probability that the sum of the numbers on the two slips is equal to one of the numbers left in the box?
Choices:
1/6
5/28
15/36
21/36
Answer: B
Question: Given that there are 11 cricket players per team, how many ways can you select 10 cricket players from 2 teams if no more than 2 players can be selected from each team?
Choices:
3025
2600
3500
4200
Answer: A
Question: The game 'Chunk-a-Luck' is played at carnivals in some parts of Europe. Its rules are as follows:
If you pick a number from 1 to 6 and the operator rolls three dice.
If the number you picked comes up on all three dice, the operator pays you Rs. 3.
If it comes up on two dice, you are paid Rs. 2.
And it comes up on just one dice, you are paid Rs. 1.
Only if the number you picked does not come up at all, you pay the operator Rs. 1.
The probability that you will win money playing in this game is:
Choices:
0.753
0.42
0.68
None of the above
Answer: B
Question: Jack, Jill, and Sandy each have one try to make a basket from half court. If their individual probabilities of making the basket are 1/6, 1/7, and 1/8 respectively, what is the probability that Jill and Sandy will make a basket but Jack will miss?
Choices:
5/168
7/168
5/336
7/336
Answer: C
Question: If A = 625 * 7776 * 16 / 1296, How many digits are in A?
Choices:
5
3
4
0
Answer: A
Question: 34.95+240.016+23.98=?
Choices:
298.111
298.946
299.09
None of them
Answer: B
Question: a,b,c,d,e,f,g sitting in a row what is the probability that a,b & c sitting together.
Choices:
5/7
6/7
2/7
1/7
Answer: D
Question: If A is a positive integer, which of the following must be divisible by 6?
Choices:
A^2*(A−5)
A(A+2)^3
A^2*(A−5)
(A−1)*A*(A+1)
Answer: D
Question: The circulation for magazine P in 1971 was 4 times the average (arithmetic mean) yearly circulation for magazine P for the years 1972-1980. What is the ratio of the circulation in 1971 to the total circulation during 1971-1980 for magazine P ?
Choices:
5/7
3/7
2/7
1/7
Answer: C
Question: A telephone company needs to create a set of 3-digit area codes. The company is entitled to use only digits 6, 4 and 3, which can be repeated. If the product of the digits in the area code must be even, how many different codes can be created?
Choices:
22
26
24
30
Answer: B
Question: Which is greater than 16
Choices:
66
6
-6
6.1
Answer: A
Question: A clothing store originally bought 100 jackets at a total cost of j dollars. If each jacket was sold for 30 percent more than its original cost, what was the individual price, in terms of j, of each jacket sold?
Choices:
j/77
140j
j/100+40
140j/100
Answer: A
Question: John spent a total of $135 on baseball tickets. The price of a ticket is either $12 for the field seats or $5 for the balcony. What is the minimum amount W of dollars he could have spent for the $12 tickets?
Choices:
$60
$84
$96
$120
Answer: A
Question: A certain stock exchange designates each stock with a one-, two-, or three- letter code, where each letter is selected from the 26 letters of the alphabet. If the letters may be repeated and if the same letters used in a different order constitute a different code, how many different stocks is it possible to uniquely designate with these codes?
Choices:
8125
15600
16302
18278
Answer: D
Question: Out of three given numbers, the first one is twice the second and three times the third. If the average of these numbers is 88, then the difference between first and third is.
Choices:
39
87
96
None
Answer: C
Question: If x is the interest on y and y is the interest on z, the rate and time is the same on both the cases. What is the relation between x, y and z?
Choices:
Y2 = xz
Y2 = Yz
Y3 = xz
Y5 = xY
Answer: A
Question: H(x, y) is the intersection point between the circle (x^2 + y^2 = 4) and the line (y = x +2). Which of the following can be the point H?
Choices:
(2, 0).
(0, -2).
(-2, 0).
(2, 2).
Answer: C
Question: Of the films Empty Set Studios released last year, 60% were comedies and the rest were horror films. 75% of the comedies were profitable, but 75% of the horror moves were unprofitable. If the studio made a total of 45 films, and broke even on none of them, how many of their films were profitable?
Choices:
19
20
21
44
Answer: D
Question: Find the principle on a certain sum of money at 5% per annum for 2 2/5 years if the amount being Rs.1344?
Choices:
2217
1200
2777
2991
Answer: B
Question: If k is the greatest positive integer such that 4^k is a divisor of 16! then k =
Choices:
4
5
6
7
Answer: B
Question: How many integers, greater than 999 but not greater than 4000, can be formed with the digits 0, 1, 2, 3 and 4, if repetition of digits is allowed?
Choices:
567
360
376
None of these
Answer: C
Question: If m^(-1) = -1/4 then m^(-2) is equal to
Choices:
-3
-1/9
1/16
9
Answer: C
Question: If the cost price of 50 articles is equal to the selling price of 30 articles, then the gain or loss percent is?
Choices:
127
12
18
67
Answer: D
Question: A package contains 8 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Choices:
1/2
6/8
7/9
1/3
Answer: A
Question: How many different 5 letter combinations can be created from the letters A,B,C,D and E?
Choices:
125
3125
25
5
Answer: B
Question: Find the odd man out. 7,13,19,25,29,37,43
Choices:
29
25
43
37
Answer: B
Question: When Greenville State University decided to move its fine arts collection to a new library, it had to package the collection in 20-inch by 20-inch by 15-inch boxes. If the university pays $0.60 for every box, and if the university needs 3.06 million cubic inches to package the collection, what is the minimum amount the university must spend on boxes?
Choices:
$306
$510
$1,250
$2,550
Answer: A
Question: Nails and screws are manufactured at a uniform weight per nail and a uniform weight per screw. If the total weight of one screw and one nail is half that of 6 screws and one nail, then the total weight of 3 screws, and 3 nails is how many times that of 4.5 screws and 1.5 nails?
Choices:
a. 4/3
c. 2
d. 3/2
e. 5/4
Answer: A
Question: Find the area of circle whose radius is 4m?
Choices:
50.28
51.77
52.88
52.98
Answer: A
Question: If a 4-digit integer is selected at random from the integers 6000 through 6999, inclusive, what is the probability that the first digit and the last digit of the integer are each equal to three times the tens digit and two times the hundreds digit?
Choices:
3/6000
1/1000
3/2000
2/3000
Answer: B
Question: A vessel of capacity 2 litre has 25% of alcohol and another vessel of capacity 6 litre had 50% alcohol. The total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water. What is the new concentration of Mixture?
Choices:
71%.
49%.
29%.
35%.
Answer: D
Question: If 7 and 6 are factors of 60n, what is the minimum value of n?
Choices:
3
7
14
56
Answer: B
Question: A retailer sold 2 houses at each $10000. On 1st house he got 30% profit and on 2nd house he loss 10% then find his net profit or loss?
Choices:
17%
21%
19%
25%
Answer: A
Question: Bill drives from city A to city B. After two hours of driving he noticed that he covered 80 km and calculated that, if he continued driving at the same speed, he would end up been 15 minutes late. So he increased his speed by 10 km/hr and he arrived at city B 36 minutes earlier than he planned.
Find the distance between cities A and B.
Choices:
250 km
390 km
440 km
578 km
Answer: A
Question: Sum of 3 consecutive even no.'s is 24 more than the 1st no. of the series. Find the middle no.?
Choices:
11
14
16
18
Answer: A
Question: If a,b are positive integers and a/b=85.75 which of the following could be the value of b?
Choices:
4.24
3. 27
4. 27
5. 30
Answer: A
Question: On Sunday morning, Pugsley and Wednesday are trading pet spiders. If Pugsley were to give Wednesday two of his spiders, Wednesday would then have seven times as many spiders as Pugsley does. But, if Wednesday were to give Pugsley four of her spiders, Pugsley would now have four fewer spiders than Wednesday had before they traded. How many pet spiders does Pugsley have before the trading game commences?
Choices:
4
6
8
10
Answer: A
Question: A watch which gains uniformly is 2 minutes low at noon on Monday and is 4 min. 48 sec fast at 2 p.m. on the following Monday. When was it correct
Choices:
2 p.m. on Tuesday
2 p.m. on Wednesday
3 p.m. on Thursday
None
Answer: B
Question: A can finish a piece of work in 15 days. B can do it in 30 days. They work together for 6 days and then A goes away. In how many days will B finish the work?
Choices:
12 days
14 days
10 days
15 days
Answer: A
Question: Find the average of first 40 natural numbers.
Choices:
20.5
40.5
25
30.5
Answer: A
Question: A teacher has to choose the maximum different groups of three students from a total of six students. Of these groups, in how many groups there will be included in a particular student?
Choices:
8
10
12
15
Answer: B
Question: In a graduate physics course, 70 percent of the students are male and 40 percent of the students are married. If two-sevenths of the male students are married, what fraction of the female students is single?
Choices:
5/3
1/2
2/3
1/3
Answer: D
Question: A train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 17 seconds. What is the length of the platform in meters?
Choices:
260 meters
420 meters
600 meters
Cannot be determined
Answer: A
Question: If the cost price of 121 chocolates is equal to the selling price of 77 chocolates, the gain percent is :
Choices:
57.44%
57.14%
56.34%
57.87%
Answer: B
Question: Two pipes A and B together can fill a cistern in 4 hours. Had they been opened separately, then B would have taken 6 hours more than A to fill cistern. How much time will be taken by A to fill the cistern separately?
Choices:
9
6
2
3
Answer: B
Question: From a group of 6boys&4girls a Committee of 4 persons is to be formed. In how many different ways can it be done, so that the committee has at least 2 boys?
Choices:
140
185
190
210
Answer: B
Question: Donna, Chris, and Austin have a total of $93 in their wallets. Donna has $7 more than Chris. Austin has 3 times what Donna has. How much Austin has in his wallet?
Choices:
$20
$12
$60
$50
Answer: C
Question: A and B invests Rs.8000 and Rs.9000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year?
Choices:
32:44
32:45
32:41
32:42
Answer: B
Question: At what rate percent on simple interest will Rs.750 amount to Rs.900 in 5 years?
Choices:
2%
4%
9%
5%
Answer: B
Question: A tank with a volume of 45 cubic feet has one inlet pipe and 2 outlet pipes. The inlet pipe fills water into the tank at the rate of 5 cubic inches/min and the 2 outlet pipes empty it out at the rates of 14 cubic inches/min and 6 cubic inches/min respectively. If all 3 pipes are opened when the tank is full, how many minutes does it take to empty the tank? (1 foot = 12 inches)
Choices:
5184
5368
5460
5552
Answer: A
Question: How many solutions are possible for the inequality | x - 1 | + | x - 6 | < 2?
Choices:
2
1
0
4
Answer: C
Question: In a certain corporation, there are 300 male employees and 150 female employees. It is known that 50% of the male employees have advanced degrees and 40% of the females have advanced degrees. If one of the 450 employees is chosen at random, what is the probability this employee has an advanced degree or is female?
Choices:
2/3
3/4
4/5
5/6
Answer: A
Question: A sum was put at simple interest at a certain rate for 10 years . Had it been put at 5% higher rate , it would have fetched Rs.100 more. What was the Sum?
Choices:
s.700
s.200
s.600
s.500
Answer: B
Question: 3889 + 13.952 - ? = 3854.002
Choices:
48.95
45.97
47.59
45.79
Answer: A
Question: Find the percentage gain if a shop owner sells 20 mtr of fabric and gains Cost Price of 5 meters?
Choices:
24%
35%
14%
25%
Answer: D
Question: Machine–A produces 50% of the total output and Machine-B produces 75% of the total output. An average of nine units out of a thousand goods manufactured by Machine-A and one unit of 500 units produced by Machine-B prove to be defective. What is the probability that a unit chosen at random from the total daily output of the factory is defective?
Choices:
0.06
0.0048
0.04
0.05
Answer: B
Question: The average weight of 47 students in a class is 52 kg. 5 of them whose average weight is 48 kg leave the class and other 5 students whose average weight is 54 kg join the class. What is the new average weight (in kg) of the class ?
Choices:
52 30/47
52 1⁄30
43.42
None of these
Answer: A
Question: The number of rectangles that can be formed on a 8X8 chessboard is
Choices:
1284
1196
1296
1523
Answer: C
Question: Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.6300. How much third person will get?
Choices:
2800
2699
2662
1821
Answer: A
Question: There are 5 houses on a street: house A, B, C, D and E. The distance between any two adjacent houses is 100 feet. There are 2 children living in house A, 3 children living in house B, 4 children living in house C, 5 children living in house D and 6 children living in house E. If the school bus can only make one stop on that street, in front of which house should the bus stop so that the sum of walking distance among all children will be the least?
Choices:
house B
house C
house D
house E
Answer: C
Question: 8 baseball players each stand at different corners of a baseball diamond. The sides of the diamond are all of equal length. Two arrangements of baseball players are considered different only when the relative positions of the players differ. How many different ways can the baseball players arrange themselves around the diamond?
Choices:
5040
1620
2430
2560
Answer: A
Question: Q and R are two-digit positive integers that have the same digits but in reverse order. If the positive difference between Q and R is less than 30, what is the greatest possible value of Q minus R?
Choices:
24
25
26
27
Answer: D
Question: How many paying stones, each measuring 2 1/2 m * 2 m are required to pave a rectangular court yard 30 m long and 16 1/2 m board?
Choices:
99
88
26
18
Answer: A
Question: John & Mary go for an interview for 2 vacancies. The probability for the selection of John is 1/3 & whereas the probability forthe selection of Mary is 1/5. What is the probabilitynone of them are selected?
Choices:
3/7
8/15
4/9
5/7
Answer: B
Question: The HCF of two numbers is 50 and the other two factors of their LCM are 11 and 12. What is the largest number.
Choices:
450
480
504
600
Answer: D
Question: A car rental company charges for mileage as follows: 5 dollars per mile for the first n miles and 6 dollars per mile for each mile over n miles. How much will the mileage charge be, in dollars, for a journey of d miles, where d > n ?
Choices:
10d-n
6d-n
11d-n
5*(6d-n)
Answer: B
Question: A scientist used a unique two-color code to identify each of the test subjects involved in a certain study. If the scientist found that choosing from among seven colors produced enough color codes to identify all but 5 of the test subjects, how many test subjects were in the study? (Assume that the order of the colors in the codes does not matter.)
Choices:
26
27
28
29
Answer: A
Question: In a city where all streets run east-to-west, all avenues run north-to-south, and all intersections are right angles as shown below, Jenn needs to walk from the corner of 1st Street and 1st Avenue to the corner of 6th Street and 3rd Avenue. If her friend Amanda is sitting on a bench on 4th Street halfway between 1st and 2nd Avenues, and Jenn chooses her path randomly from any route that will allow her to walk exactly seven blocks to her destination, what is the probability that Jenn will walk down 4th St. past Amanda?
Choices:
1/21
1/7
1/3
1/2
Answer: B
Question: The figure above shows the dimensions of a semicircular cross section of a one-way tunnel. The single traffic lane is 12 feet wide and is equidistant from the sides of the tunnel. If vehicles must clear the top of the tunnel by at least ½ foot when they are inside the traffic lane, what should be the limit T on the height of vehicles that are allowed to use the tunnel?
Choices:
7½ ft
8 ½ ft
9½ ft
10 ft
Answer: A
Question: For all integers x>1. <x>=2x+(2x-1)+(2x-2)+......2+1. What is the value of <2>*<4>?
Choices:
116
210
263
360
Answer: D
Question: A committee has 5 men and 6 women. What are the number of ways of selecting a group of eight persons?
Choices:
165
166
199
234
Answer: A
Question: Two cyclists are running on a circular track of 500m.They start from the same point A at the same time.If they meet for the first time at a point 150 m from A, which of the following could be the possible ratio of their speeds?
Choices:
2:3
3:5
3:7
7:11
Answer: C
Question: Walking with 4/5 of my usual speed, I arrive at the bus stop 10 minutes later than normal. How many minutes does it take to walk to the bus stop at my usual speed?
Choices:
36
40
44
48
Answer: B
Question: AMOUNT OF BACTERIA PRESENT
Time Amount
1:00 P.M. 8.0 grams
4:00 P.M. x grams
7:00 P.M. 12.4 grams
Data for a certain biology experiment are given in the table above. If the amount of bacteria present increased by the same fraction during each of the two 3-hour periods shown, how many grams of bacteria were present at 4:00 P.M.?
Choices:
12.1
12.2
10.0
10.4
Answer: C
Question: A man can swim in still water at 6 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
Choices:
4.2
5.3
2
5.2
Answer: C
Question: The residents of Town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 24 hours and a standard deviation of 12 hours. The number of hours that Pat, a resident of Town X, watched television last week was between 1 and 2 standard deviations below the mean. Which of the following could be the number of hours that Pat watched television last week?
Choices:
20
18
12
6
Answer: D
Question: Let G represent a set of four distinct prime numbers. If the sum of the numbers in G is even and x is a member of G, then what is the least possible value that x can be?
Choices:
2
3
5
7
Answer: B
Question: How many numbers between 11 and 90 are divisible by 7?
Choices:
7
11
19
15
Answer: B
Question: The sum of all two digit numbers divisible by 7 is
Choices:
510
728
628
810
Answer: B
Question: If a2 + b2 + c2 = 390 and ab + bc + ca = 5, then a + b + c is
Choices:
20
25
30
64
Answer: A
Question: A & B started a partnership business. A's investment was thrice the investment of B and the period of his investment was two times the period of investments of B. If B received Rs 5000 as profit , what is their total profit?
Choices:
30000
32000
35000
None of these
Answer: C
Question: If the circus were to sell all of its 220 tickets for this month's performance at its usual price, the revenue from sales would be 10% greater than that collected last month. If the circus raised the ticket price by 6% and sold only 200 tickets as a result, what percent less would last month's revenue be compared to this month's revenue?
Choices:
5
300/53
110/53
9/4
Answer: B
Question: The radius of a cylinder is 2 r units and height is 3 r units. Find the curved surface?
Choices:
298
440
278
278
Answer: B
Question: A man buys a cycle for Rs.1400 and sells it at loss of 15%. What is the selling price of the cycle?
Choices:
1191
1118
1190
1112
Answer: C
Question: We can rent a boat for x cents per minute for the first 60 minutes and then y cents for each additional minute. How much will it cost to rent a boat for z minutes, where z>60?
Choices:
60x+(z-60)y
x + zy
60y+(z-60)x
60x + zy
Answer: A
Question: The average of 11 numbers is 10.9. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is?
Choices:
10
10.5
11.5
12
Answer: C
Question: 4/15 of 5/7 of a number is greater than 4/9 of 2/5 of the same number by 8. What is half of that number?
Choices:
312
313
314
315
Answer: D
Question: A certain stock exchange designates each stock with a two-letter or three-letter code, where each letter is selected from the 26 letters of the alphabet. If the letters may be repeated and if the same letters used in a different order constitute a different code, how many different stocks is it possible to uniquely designate with these codes without using the letter A?
Choices:
16,250
16,750
17,000
17,250
Answer: A
Question: The ages of two person differ by 20 years. If 8 years ago, the elder one be 5 times as old as the younger one, their present ages(in years) are respectively
Choices:
33, 13
29, 9
50, 30
20,10
Answer: A
Question: If 6 (A's capital) = 8 (B's capital) = 10 (C's capital). Then the ratio of their capitals is?
Choices:
20:15:18
20:15:12
20:15:14
20:15:11
Answer: B
Question: Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 72 kilometers, Maxwell's walking speed is 6 km/h, and Brad's running speed is 12 km/h. What is the distance traveled by Maxwell when they meet in the middle?
Choices:
24
16
18
20
Answer: A
Question: How many prime numbers between 1 and 100 are factors of 67830?
Choices:
5
6
3
2
Answer: B
Question: What is the sum of 20 consecutive integers from -9 inclusive, in a increasing order?
Choices:
9
-10
10
20
Answer: C
Question: The area of a triangle is with base 4m and height 5m?
Choices:
19
56
10
36
Answer: C
Question: Car A runs at the speed of 65km/hr & reaches its destination in 8hr. Car B runs at the speed of 70 km/h & reaches its destination in 4h. What is the respective ratio of distances covered by Car A & Car B?
Choices:
4 : 9
13 : 7
5 : 7
6 : 11
Answer: B
Question: There are 8 periods in each working day of a school. In how many ways can one organize 7 subjects such that each subject is allowed at least one period?
Choices:
145678
141120
11456
None of these
Answer: B
Question: Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.1600?
Choices:
4200
2025
1205
3251
Answer: B
Question: (1000)7÷(10)17=?
Choices:
100
1000
10000
None of these
Answer: C
Question: If u and v are both negative and uv < v^2, which of the following must be true?
Choices:
u < v < v^2 < u^2
v < u < u^2 < v^2
u^2 < v^2 < v < u
v^2 < u^2 < v< u
Answer: B