antoine-444/aqua_rat_dataset huggingface dataset:
Question: A certain country had a total annual expenditure of $1.2x10^12. If the population of the country was 240 million last year, what was the per capita expenditure?
Choices:
$1000
$2000
$3000
$5000
Answer: D
Question: If you are given $4, and the amount doubles every day, how much money will you have after 8 days?
Choices:
$512
$1024
$65536
$4096
Answer: C
Question: Fill in the blanks:
3 3 5 4 4 ? 5
Choices:
7
8
3
1
Answer: C
Question: A reduction of 50% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg?
Choices:
s.46
s.40
s.80
s.34
Answer: C
Question: How many digits are used to number a book containg 300 pages.
Choices:
792
698
784
789
Answer: A
Question: A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The percentage of decrease in area is
Choices:
28%
32%
38%
40%
Answer: A
Question: A train travels at the rate of 10 miles/hr for the first hour of a trip, at 20 miles/hr for the second hour, at 30 miles/hr for the third hour and so on. How many hours will it take the train to complete a 210-mile journey? Assume that the train makes no intermediate stops.
Choices:
6
7
7.5
5
Answer: A
Question: A and B can do a piece of work in 3 days, B and C in 4 days, C and A in 6 days. How long will C take to do it?
Choices:
29
24
28
12
Answer: B
Question: find two integers, neither of which ends in a zero, and whose product is exactly 1,000,000
Choices:
64 and 15,625
64 and 15,620
64 and 15,635
64 and 16,625
Answer: A
Question: Three friends (Caleb, Jerry and Elvis) are employees of a company. Their respective salaries are in the ratio of 3 : 4 : 6. Jerry and Elvis's salaries together is Rs. 10000. By what percent is Elvis's salary than that of Sarah?
Choices:
400%.
300%.
200%.
100%.
Answer: D
Question: P is four times as fast as Q and working together, they can complete a work in 16 days. In how many days can Q alone complete the work?
Choices:
20 days
16 days
25 days
18 days
Answer: A
Question: A man's speed with the current is 8km/hr and the speed of the current is 20km/hr. The current's speed against the man is:
Choices:
4 km/hr
5 km/hr
7 km/hr
9 km/hr
Answer: A
Question: If one-seventh of a number exceeds its eleventh part by 100 then the number is…
Choices:
870
1825
1925
925
Answer: C
Question: By selling an article at 80% of its marked price, a merchant makes a loss of 12%. What % profit will the merchant make if the article is sold at 95% of its marked price?
Choices:
1% loss
10% profit
5.5% profit
4.5% profit
Answer: D
Question: In a class there are 22 boys and 20 girls. In how many ways can a boy and a girl be selected?
Choices:
500
440
266
255
Answer: B
Question: The length of a room is 5.5 m and width is 3.75 m. What is the cost of paying the floor by slabs at the rate of $500 per sq. metre.
Choices:
$10312.50
$16512.50
$14512.50
$18512.50
Answer: A
Question: The greatest common factor of positive integers m and n is 11. What is the greatest common factor of (2m^2, 2n^2)?
Choices:
11
22
121
242
Answer: D
Question: The smallest number which when divided by 20, 25, 35 and 40 leaves a remainder of 14, 19, 29 and 34 respectively is?
Choices:
1494
1349
1496
1500
Answer: B
Question: When you multiply a number by 5 and
then subtract 5, the result is the same as
if you first subtracted 7 from the same
number and then multiplied by 11. What
is the number?
Choices:
B)13
C)12
D)31
E)10
Answer: B
Question: If x = a!, which of these following values of a is the least possible value (in this list) for which the last 6 digits of the integer x will all be zero?
Choices:
24
29
34
38
Answer: B
Question: The no. of girls in a class are seven times the no. of boys, which value cannever be the of total students?
Choices:
4
8
9
12
Answer: B
Question: What number should replace the question mark?
105, 87, ?, 52, 35
Choices:
37
70
55
83
Answer: B
Question: Bob wants to run a mile in the same time as his sister. If Bob’s time for a mile is currently 10 minutes and his sister’s time is currently 8 minutes 48 seconds, by what percent does Bob need to improve his time in order run a mile in the same time as his sister?
Choices:
5%
8%x
10%
12%
Answer: D
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
Choices:
50
99
88
61
Answer: A
Question: The average of six numbers is 3.95. The average of two of them is 3.4, while the average of the other two is 3.85. What is the average of the remaining two numbers ?
Choices:
4.6
4.3
4.1
4.0
Answer: A
Question: Three numbers are randomly selected, with replacement, from the set of integers {0, 1, 2, 3, 4, 5, 6, 7}. If the first number selected is w, the second number selected is x, and the third number is y, what is the probability that w < x < y ?
Choices:
7/64
9/64
53/512
81/512
Answer: A
Question: If x and y are integers such that x^2= 3y and xy = 36, then x – y = ?
Choices:
-20
-5
5
0
Answer: D
Question: The table below shows the enrollment in various classes at a certain college.
Class | Number of Students
Biology | 60
Physics | 35
Calculus | 40
Although no student is enrolled in all three classes, 15 are enrolled in both Biology and Physics, 10 are enrolled in both Biology and Calculus, and 12 are enrolled in both Physics and Calculus. How many different students are in the three classes?
Choices:
88
90
98
162
Answer: C
Question: For all positive integers n and m, the function A(n) equals the following product:
(1 + 1/2 + 1/2^2)(1 + 1/3 + 3^2)(1 + 1/7 + 7^2)…(1 + 1/p_n + 1/p_n^2), where p_n is the nth smallest prime number, while B(m) equals the sum of the reciprocals of all the positive integers from 1 through m, inclusive. The largest reciprocal of an integer in the sum that B(25) represents that is NOT present in the distributed expansion of A(5) is
Choices:
1/5
1/6
1/7
1/8
Answer: A
Question: The function f is defined by subtracting 25 from the square of a number and the function d is defined as the square root of one-half of a number. If d(f(x))=10, then which of the following is a possible value of x?
Choices:
-15
0
5
25
Answer: A
Question: The difference between two no is 9 and the product of the two is 14. What is the square of their sum?
Choices:
260
177
197
137
Answer: D
Question: At what price must an article costing Rs.47.50 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 25% on the cost price?
Choices:
62.5
62.1
62.2
62.7
Answer: A
Question: The arithmetic mean and standard deviation of a certain normal distribution are 16.5 and 1.5, respectively. What value is exactly 2 standard deviations less than the mean?
Choices:
11
11.5
12
13.5
Answer: D
Question: A sales executive was given a target to get annual bonus. He already reached 1/2 of his last year's target. If the target was reduced by 5% this year, what percentage target of the last year's target does he need to reach to get bonus?
Choices:
9/20
7/5
10/20
3/6
Answer: A
Question: Molly's age in 18 years will be four times her age three years ago. What is Molly's present age?
Choices:
8
10
12
14
Answer: B
Question: Some pens are divided among A, B, C and D. A gets twice the number of pens that B gets. C gets the same number of pens as D gets. If A gets 25 pens more than D and the ratio of the number of pens that B and C get is 2:3, then find the number of pens that D gets?
Choices:
76
75
88
52
Answer: B
Question: There are two circles of different radii. The are of a square is 784 sq cm and its side is twice the radius of the larger circle. The radius of the larger circle is seven - third that of the smaller circle. Find the circumference of the smaller circle.
Choices:
99
12
07
11
Answer: B
Question: Andrea invested a certain sum of money in a bank that paid simple interest. The amount grew to $340 at the end of 2 years. She waited for another 4 years and got a final amount of $420. What was the principal amount that she invested at the beginning?
Choices:
$300
$400
$375
$360
Answer: A
Question: Find the area of a parallelogram with base 24 cm and height 16 cm.
Choices:
288 cm2
187 cm2
384 cm2
177 cm2
Answer: C
Question: A “palindromic integer” is an integer that remains the same when its digits are reversed. So, for example, 43334 and 516615 are both examples of palindromic integers. How many 6-digit palindromic integers are both even and greater than 500,000?
Choices:
200
240
300
480
Answer: A
Question: A bag is filled with pennies and nickels in the ratio of 5 to 3. There are 60 nickles in the bag, how many coins are there in that bag?
Choices:
160
65
70
80
Answer: A
Question: The area of sector of a circle whose radius is 12 metro and whose angle at the center is 42° is?
Choices:
39.6 m2
52.8 m2
79.2 m2
None of these
Answer: B
Question: What is the total cost of 2 sandwiches at $3.49 each and 4 sodas at $0.87 each?
Choices:
$6.85
$8.46
$10.46
$11.85
Answer: C
Question: A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m3) is:
Choices:
5120
6420
8960
7960
Answer: A
Question: n^(n/2)=4 is true when n=4 in the same way what is the value of n if n^(n/2) =8?
Choices:
8
2
6
10
Answer: A
Question: Subtracting 5% of A from A is equivalent to multiplying A by how much ?
Choices:
0.95
0.094
94
None
Answer: A
Question: In a mixture of 45 litres the ratio of milk to water is 4:1. Additional 9 litres of water is added to the mixture. Find the ratio of milk to water in the resulting mixture.
Choices:
2/1
2/3
3/4
3/2
Answer: A
Question: A dealer purchased an book at 3/4 of its list price and sold 50% more than the list price. Find his gain percent?
Choices:
88%
100%
94%
103%
Answer: B
Question: In the class of 100 students, 70 speak Tamil and 40 speak Telugu. What is the lowest possible number of students who
speak both the languages?
Choices:
B)10
C)20
D)30
E)32
Answer: A
Question: In what ratio must tea at Rs.62 per Kg be mixed with tea at Rs.72 per Kg so that the mixture must be worth Rs.67 per Kg?
Choices:
3 : 2
4 : 3
5 : 3
1 : 1
Answer: D
Question: A pack of 52 playing cards, 2 cards aredrawn together at random. Find the probability of both the cards being king ?
Choices:
3/234
1/221
2/314
3/431
Answer: B
Question: A school’s annual budget for the purchase of student computers increased by 38% this year over last year. If the price of student computers increased by 20% this year, then the number of computers it can purchase this year is what percent greater than the number of computers it purchased last year?
Choices:
20%
15%
18%
16%
Answer: B
Question: The sum of the present ages of father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be:
Choices:
14 years
18 years
20 years
22 years
Answer: C
Question: A can do a piece of work in 10 days and B alone can do it in 15 days. How much time will both take to finish the work ?
Choices:
6
7
8
9
Answer: A
Question: N is a positive integer. When N + 1 is divided by 4, the remainder is 3. What is the remainder when N is divided by 3?
Choices:
2
3
0
4
Answer: C
Question: Two pipes A and B can fill a tank in 20 and 30 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?
Choices:
12 minutes
27 minutes
97 minutes
26 minutes
Answer: A
Question: A three-person committee must be chosen from a group of 7 professors and 12 graduate students. If at least one of the people on the committee must be a professor, how many different groups of people could be chosen for the committee?
Choices:
B)743
C)749
D)1,260
E)1,980
Answer: B
Question: In a certain aquarium, the number of red fish is three times the number of the green fish, and the number of blue fish is half the number of the red fish. If the ratio of green fish to red fish were to be doubled, and the ratio of red fish to blue fish were to be doubled, then the ratio of blue fish to green fish in that aquarium would be
Choices:
1:1
1:2
3:4
3:8
Answer: D
Question: Find the value of m 82519 x 9999 = m?
Choices:
353654655
825107481
725117481
477899932
Answer: B
Question: In a group of 100 cars, 47 cars do not have air conditioning. If at least 55 cars have racing stripes, what is the greatest number of cars that could have air conditioning but not racing stripes?
Choices:
45
49
51
53
Answer: A
Question: In a club there are no more than 20 persons. What is the smallest number of fruits that must be brought to the club so that each person receives the same number of fruits?
Choices:
75
80
45
33
Answer: B
Question: The maximum number of students among them 1001 pens and 910 pencils can be distributed in such a way that each student get the same number of pens and same number of pencils?
Choices:
91
100
96
101
Answer: A
Question: The base of a triangular field is three times its altitude. If the cost of cultivating the field at Rs. 24.68 per hectare be Rs. 333.18, find its base and height.
Choices:
B=900;H=300
B=900;H=338
B=900;H=329
B=900;H=122
Answer: A
Question: A florist has 2 azaleas, 3 buttercups, and 5 petunias. The florist puts two flowers together at random in a bouquet. However, the customer calls and says that she does not want two of the same flower. What is the probability that the florist does not have to change the bouquet?
Choices:
31/45
14/45
11/15
8/15
Answer: A
Question: Find the least number with which 16200 should be multiplied, to make it a perfect cube.
Choices:
28
45
20
11
Answer: B
Question: In a certain game, a large bag is filled with blue, green, purple and red chips worth 1, 5, x and 11 points each, respectively. The purple chips are worth more than the green chips, but less than the red chips. A certain number of chips are then selected from the bag. If the product of the point values of the selected chips is 440, how many purple chips were selected?
Choices:
1
3
4
5
Answer: A
Question: Three numbers are in the ratio 3:5:7. The largest number is 49. What is the difference between smallest and largest number?
Choices:
20
24
28
32
Answer: C
Question: A girl has 8 jeans and 12 shirts. In how many different ways can she select a jeans and a shirts?
Choices:
A)96
C)108
D)110
E)112
Answer: A
Question: What is the sum of the different positive prime factors of 1020?
Choices:
17
20
25
27
Answer: D
Question: The distance between two stars is 1.8 × 10^4 light years. What is the distance between the two stars in parsecs? (1 parsec = 3.26 light years)
Choices:
6.6 x 10^2
2.2 x 10^3
5.5 x 10^3
8.8 x 10^4
Answer: C
Question: A tradesman by means of his false balance defrauds to the extent of 28%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Choices:
48%
94%
45%
64%
Answer: D
Question: What is the minimum value of z for which z^2 + z - 3/2 > 0 is not true?
Choices:
-3/2
-3
1/4
1/2
Answer: B
Question: Let Q represent a set of seven distinct prime numbers. If the sum of the numbers in Q is even and x is a member of Q, then what is the least possible value that x can be?
Choices:
2
3
5
7
Answer: B
Question: John purchased a fridge and a mobile for Rs.5000 &Rs. 8000 respectively. He sold the fridgeat a loss of 4% and the mobile phone at a profit of 10%. Overall how much he make a profit.
Choices:
Rs. 150
Rs. 200
Rs. 260
Rs. 280
Answer: B
Question: Find out the C.I on Rs.5000 at 4% p.a. compound half-yearly for 1 1/2 years.
Choices:
306.00
306.04
306.02
306.01
Answer: B
Question: Six years ago, the ratio of the ages of Kunal and Sagar was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Sagar's age at present?
Choices:
16 years
20 years
Cannot be determined
None of these
Answer: A
Question: A man bets on no. 16 on a roulette wheel 14times and losses each time. On the 15th span he does a quick calculation and finds out that the no. 12 had appeared twice in the 14spans and is therefore, unable to decide whether to bet on 16 or 12 in the 15th span. Which will give him the best chance and what are the odds of winning on the bet that he takes?
Choices:
Either ;35:1
39:3
41:31
31:12
Answer: A
Question: Q' = 3Q - 3, what is the value of (3')' ?
Choices:
10
20
30
40
Answer: C
Question: There are 7 players in a bowling team with an average weight of 103 Kg. If two new players join the team, one weighs 110 Kg and the second weighs 60 Kg, what will be the new average weight?
Choices:
99 Kg.
89 Kg.
90 Kg.
92 Kg.
Answer: A
Question: Two trains are traveling on parallel tracks in the same direction. The faster train travels at 130 miles per hour, while the slower train travels at 100 miles per hour. At 2 o’clock the faster train is 20 miles behind the slower one. How far apart are the two trains at 5 o'clock?
Choices:
70 miles
90 miles
120 miles
400 miles
Answer: A
Question: Two dice are rolled. What is the probability that the sum on the top face of both the dice will be greater than 9?
Choices:
2/3
1/2
1/3
1/6
Answer: D
Question: When positive integer N is divided by positive integer J, the remainder is 8. If N/J = 150.25, what is value of J?
Choices:
26
32
132
20
Answer: B
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 23 seconds. The ratio of their speeds is?
Choices:
3/2
3/5
3/9
3/2
Answer: A
Question: If 625^(-x) + 25^(-2x) + 5^(-4x) = 11, what is the value of x?
Choices:
-1/4
0
1/4
4
Answer: C
Question: The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 45 kg, then the weight of B is:
Choices:
32 kg
33 kg
35 kg
None of these
Answer: C
Question: What is the remainder when 1271 * 1275 * 1277 *1285 is divided by 12?
Choices:
1
11
9
7
Answer: C
Question: Bert and Rebecca were looking at the price of a condominium. The price of the condominium was 100% more than Bert had in savings, and separately, the same price was also 60% more than Rebecca had in savings. What is the ratio of what Bert has in savings to what Rebecca has in savings.
Choices:
2:5
3:5
4:5
1:1
Answer: C
Question: What is the probability that Terry and Tim will get selected for a job they both applied for in a company, given that their chances of getting selected is 3/8 and 2/7 respectively?
Choices:
2/25
3/28
5/28
3/25
Answer: B
Question: Find the area of circle whose radius is 14m?
Choices:
154
616
168
178
Answer: B
Question: There are 12 yes or no questions. How many ways can these be answered?
Choices:
6234
3651
4562
4096
Answer: D
Question: The sum of all the digits of the integers from 18 to 21 inclusive is 24 (1 + 8 + 1 + 9 + 2 + 0 + 2 + 1 = 24). What is the sum E of all the digits of the integers from 0 to 99 inclusive?
Choices:
810
900
1000
1100
Answer: B
Question: A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?
Choices:
6 : 5
8 : 3
3 : 8
None of these
Answer: B
Question: A rectangular floor that measures 6 meters by 10 meters is to be covered with carpet squares that each measure 2 meters by 2 meters. If the carpet squares cost $15 apiece, what is the total cost for the number of carpet squares needed to cover the floor?
Choices:
$240
$480
$225
$1,920
Answer: C
Question: The successive discounts 20% and 15% are equal to a single discount of?
Choices:
22
32
82
61
Answer: B
Question: 21 people are there, they are shaking hands together, how many hand shakes possible,if they are in pair of cyclic sequence.
Choices:
20
21
22
23
Answer: B
Question: If A,B,C,D,E,F,G,H,I,J are in an increasing Arithmetic Progression as such. Then Which of the following operations will result in only mean being modified but not the median.
A) A is removed
B) A and J are removed
C) B and I are removed
D) A,B,C,H,I,J are removed
E) A and E are removed
Choices:
2) A and E
3) A,C,E
4) All of them
5) None of them
Answer: D
Question: Find the area of a rhombus whose side is 25 cm and one of the diagonals is 30 cm?
Choices:
268 sq.cm
618 sq.cm
297 sq.cm
600 sq.cm
Answer: D
Question: A train moves fast a telegraph post and a bridge 264 m long in 8 sec and 20 sec respectively. What is the speed of the train?
Choices:
70 km/hr
79 km/hr
79.2 km/hr
89.2 km/hr
Answer: C
Question: An aeroplane covers a certain distance of 420 Kmph in 6 hours. to cover the same distance in 4 2/3 hours, it Must travel at a speed of
Choices:
550 Kmph
540 Kmph
530 Kmph
520 Kmph
Answer: B
Question: The points A(0, 0), B(0, 4a - 4) and C(2a + 1, 2a + 6) form a triangle. If angle ABC = 90, what is the area of triangle ABC?
Choices:
88
108
78
90
Answer: A
Question: A and B start a business with Rs.2000 and Rs.3000 respectively. Hoe should they share their profits at the end of one year?
Choices:
3:4
2:5
3:7
2:3
Answer: D
Question: In a theater, the first row has 12 seats and each row has 2 more seats than previous row. If the last row has 48 seats, what is the total number of seats in the theater?
Choices:
570
590
610
630
Answer: A
Question: On selling 15 balls at Rs. 720, there is a loss equal to the cost price of 5 balls. The cost price of a ball is:
Choices:
s. 50
s. 55
s. 60
s. 72
Answer: D
Question: Bid intended to type a seven-digit number, but the two 3's he meant to type did not appear. What appeared instead was the five-digit number 52115. How many different seven-digit numbers could Bid have meant to type?
Choices:
16
21
24
27
Answer: B
Question: From January 1, 1991, to January 1, 1993, the number of people enrolled in health maintenance organizations increased by 15 percent. The enrollment on January 1, 1993, was 60 million. How many million people, to the nearest million, were enrolled in health maintenance organizations on January 1, 1991 ?
Choices:
39
40
41
52
Answer: D
Question: Five drainage pipes, each draining water from a pool at the same constant rate, together can drain a certain pool in 12 days. How many additional pipes, each draining water at the same constant rate, will be needed to drain the pool in 5 days?
Choices:
7
10
12
15
Answer: A
Question: According to a 2010 census, China's population was 1.34 billion people. If the ratio of male's to females is 1.052:1, respectively, then how many men are there? Answer in terms of (W = women).
Choices:
M = 1.052/W
M = (1.052)(W)
M = W/1.052
M = 1.052 + W
Answer: B
Question: The ratio between a two-digit number and the sum of the digits of that
number is 4 : 1.If the digit in the unit's place is 3 more than the digit in the ten’s place, what is the number?
Choices:
36
42
24
16
Answer: A
Question: In a certain quiz that consists of 10 questions, each question after the first is worth 4 points more than the preceding question. If the 10 questions on the quiz are worth a total of 400 points, how many points is the third question worth?
Choices:
18
22
26
30
Answer: D
Question: A and B are two partially filled buckets of water. If 3 liters are transferred from A to B, then A would contain one-third of the amount of water in B. Alternatively, if 3 liters are transferred from B to A, B would contain one-half of the amount of water in A. Bucket A contains how many liters of water?
Choices:
36/5
17
21
23
Answer: A
Question: seven balls of different colors are to be placed in three different boxes such that any box contains at least 1 ball . What is the maximum number of different ways in which this can be done?
Choices:
90
240
150
180
Answer: B
Question: A hiker walking at a constant rate of 4 kilometers per hour is passed by a cyclist travelling in the same direction along the same path at a constant rate of 12 kilometers per hour. The cyclist stops and waits for the hiker 5 minutes after passing her while the hiker continues to walk at her constant rate. How many minutes must the cyclist wait until the hiker catches up?
Choices:
10
20
25
30
Answer: A
Question: Rs 3400 is divided into two parts such that one part is put out at 3% and the other at 5%. If the annual interest earned from both the investments be Rs 144, find the first part.
Choices:
s 1800
s 800
s 500
s 1300
Answer: D
Question: Sam invests $1000 in an account that pays 12% annual interest: the interest is paid once, at the end of the year. Kody invests $1000 in an account that pays 12% annual interest, compounding monthly at the end of each month. At the end of one full year, compared to Sam's account, approximately how much more does Kody’s account have?
Choices:
$682.5
$68.25
$6.825
$0.6825
Answer: C
Question: plot ABCD is as shown in figure, where AF = 30 m, CE = 40 m, ED = 50 m, AE = 120 m. Find the area of the plot ABCD?
Choices:
6289 sq.m
2989 sq.m
7200 sq.m
1551 sq.m
Answer: C
Question: Chances of Mr. Button winning the local lottery in 8%. All participants lined up and Mr. Button is 3rd in the row. The first two participants lose the lottery.
What is the chance of Samuel Mr. Button now?
Choices:
8%
10%
50%
40%
Answer: A
Question: There are 16 people in a room. If each person shakes hands with exactly 3 other people, what is the total number of handshakes?
Choices:
24
28
36
48
Answer: A
Question: What percent of 60 is 90?
Choices:
150
60
33 1⁄3
25
Answer: A
Question: Suppose son name is 120,his brother name is 150 and his mother name is 210.find out his father's name???
Choices:
210
230
240
250
Answer: C
Question: The number of number - pairs lying between 40 and 100 with their H.C.F. as 15 is :
Choices:
4
5
6
7
Answer: A
Question: In Orange County one third of the people are gathering mushrooms and one seventh of the people are collecting apples. What can be the number of people in Orange County?
Choices:
42.
85.
140.
252.
Answer: A
Question: Of the 25 cupcakes in the bakery, 20 percent are chocolate. How many vanilla cupcakes must be sold in order to bring the number of chocolate cupcakes up to 50 percent of the cupcakes in the bakery?
Choices:
5
10
15
20
Answer: C
Question: A sum of money invested at compound interest to Rs. 800 in 3 years and to Rs 840 in 4 years. The
rate on interest per annum is.
Choices:
5%
6%
7%
8%
Answer: A
Question: 10 men, working 7 hours a day can complete a work in 18 days. How many hours a day must 15 men work to complete the same work in 12 days?
Choices:
7
8
9
10
Answer: A
Question: How many 5 letter words ( with or without meaning) can be formed using all the following 5 letters P,Q,R,S,and T so that letter P is to the left of letter R?
Choices:
60
48
24
12
Answer: A
Question: The value of a machine depreciates at 20% per annum. If its present value is Rs. 1,50,000, at what price should it be sold after two years such that a profit of Rs. 24,000 is made?
Choices:
Rs. 1,20,000
Rs. 1,24,000
Rs. 1,21,000
None of these
Answer: A
Question: Carrie likes to buy t-shirts at the local clothing store. They cost $9.15 each. One day, she bought 22 t-shirts. How much money did she spend?
Choices:
$248.75
$200
$201.3
$190
Answer: C
Question: A glass was filled with 10 ounces of water, and 0.06 ounce of the water evaporated each day during a 20-day period. What percent of the original amount of water evaporated during this period?
Choices:
0.02%
0.2%
12%
20%
Answer: C
Question: An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq m?
Choices:
6.892 kg
9.832 kg
6.832 kg
4.832 kg
Answer: C
Question: Jill, who lives in City C, plans to visit 4 different cities, M,N, L, and S. She plans to visit each city exactly once and return to City C after the 4 visits. She can visit the cities in any order. In how many different orders can she visit the 4 cities?
Choices:
24
8
9
12
Answer: A
Question: The area of a sector of a circle of radius 4 cm formed by an arc of length 4.5 cm is?
Choices:
8.67
8.75
8.98
9
Answer: D
Question: Rani took a loan of Rs. 1600 with simple interest for as many years as the rate of interest. If she paid Rs. 256 as interest at the end of the loan period, what was the rate of interest?
Choices:
4
5
6
7
Answer: A
Question: A is half good a work man as B and together they finish a job in 12 days. In how many days working alone B finish the job?
Choices:
22
18
36
48
Answer: B
Question: What is the rate percent when the simple interest on Rs.800 amount to Rs.160 in 4 Years?
Choices:
5%
7%
6%
1%
Answer: A
Question: There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:
Choices:
89
100
200
80
Answer: B
Question: Working together, printer A and printer B would finish the task in 24 minutes. Printer A alone would finish the task in 60 minutes. How many pages does the task contain if printer B prints 3 pages a minute more than printer A ?
Choices:
800
1000
360
1500
Answer: C
Question: The integer x is divisible by both 10 and 15. Which of the following must be an integer?
Choices:
x/30
x/10
x/40
x/20
Answer: A
Question: In a hotel we can order two types of varieties, but we can make 7 more varieties in home. One can choose the four varieties with two from hotel as must. Find how many ways one can order.
Choices:
15
56
21
29
Answer: C
Question: If a sample of data has mean of 20 and SD of 3, which of the following values is more than 2.8 SDs from the mean?
Choices:
15
14
13
11
Answer: D
Question: We bought orange juice and apple juice at the store. A bottle of orange juice costs 70 cents and a bottle of apple juice costs 60 cents. We bought a total of 70 bottles for $46.20. How many bottles of orange juice did we buy?
Choices:
36
38
42
48
Answer: C
Question: If the number 517*324 is completely divisible by 3, then the smallest whole number in the place of * will be:
Choices:
2
5
6
7
Answer: A
Question: Roses can be purchased individually for $2.30, one dozen for $36, or two dozen for $50. What is the greatest number of roses that can be purchased for $680?
Choices:
162
325
324
326
Answer: B
Question: For an agricultural experiment, 300 seeds were planted in one plot and 200 were planted in a second plot. If exactly 15 percent of the seeds in the first plot germinated and exactly 35 percent of the seeds in the second plot germinated, what percent of the total number of seeds germinated?
Choices:
26%
23%
30%
60%
Answer: B
Question: The perimeter of a square is equal to the perimeter of a rectangle of length 20 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)
Choices:
25.54
26.5
26.55
26.71
Answer: D
Question: On average, the bottle-nosed dolphin comes up for air once every six minutes; the beluga whale, a close relative, comes up for air on average once every nine minutes. The number of times a bottle-nosed dolphin would come up for air in a 24 hour period is approximately what percent greater than the number of times a beluga whale would come up for air in that same period?
Choices:
150%
200%
225%
250%
Answer: A
Question: an operation * is defined by the equation:
a*b=a-b/a+b, for all numbers a and b such that a is not equal to -b, if a is not equal to -q and a*q=0, then q=?
Choices:
b) -1/a
c) 1/a
d)0
e)a
Answer: D
Question: Two dice are rolled. What is the probability the sum will be greater than 10?
Choices:
1/6
5/3
1/12
1/9
Answer: C
Question: Worker A takes 8 hours to do a job. Worker B takes 10 hours to do the same Job.How long should it take both A and B, working together but independently, to do the same job?
Choices:
15/4 days
40/9 days
40/3 days
45/7 days
Answer: B
Question: The ages of X and Y are in the proportion of 6:5 and total of their ages is 44 years. The proportion of their ages after 8 years will be
Choices:
8:7
4:9
3:6
1:9
Answer: A
Question: Find the number of ways in which 4 different beads can be arranged to form a necklace.
Choices:
20
3
60
80
Answer: B
Question: What is the maximum number of false trials that can be made before the lock is opened?
Choices:
(26C6)3
26C6. 3!
215
235
Answer: C
Question: A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 o'clock, the true time is:
Choices:
4 p.m.
58 7/12 min. past 3
58 7/11 min. past 4
2 3/11 min. past 4
Answer: A
Question: Solve the equation :
A) (5x - 4)/2 = (0.5x + 1)/3,
B) 1 –[(x - 3)/5] = ( -3x + 3)/3,
C) (x + 1)/3 – (2x + 5)/2 = -3,
D) [3.(x - 1)]/2 + [2(x + 2)]/4 = (3x + 4.5)/5
Choices:
1, - 3/4, 5/4, 1
3, - 3/4, 5/4, 1
1, - 3/4, 5/4, 4
None
Answer: A
Question: A man spend 1/5 of his salary on food , 1/10 of his salary on house rent and 3/5 salary on clothes. he still has $19000 left with him. find salary..
Choices:
$19000
$190000
$1900
None
Answer: B
Question: A rectangle with width 8 and diagonal 30. find the area?
Choices:
240square units
100square units
150square units
160square units
Answer: A
Question: At an elementary school, 70% of the faculty members are women and 60% of the faculty members are married. If 2⁄3 of the men are single, what fraction of the women are married?
Choices:
5⁄7
1⁄3
7⁄30
5⁄70
Answer: A
Question: A librarian has a set of ten books, including four different books about Abraham Lincoln. The librarian wants to put the ten books on a shelf with the four Lincoln books next to each other, somewhere on the shelf among the other six books. How many different arrangements of the ten books are possible?
Choices:
(4!)(6!)
(4!)(7!)
(4!)(10!)
(4!)(6!)(10!)
Answer: B
Question: A can do a piece of work in 6 hours; B and C together can do it in 5 hours, while A and C together can do it in 3 hours. How long will B alone take to do it?
Choices:
3 6/8 hours
2 6/8 hours
5 5/8 hours
none of the above
Answer: A
Question: At a certain conference, 78% of the attendees registered at least
two weeks in advance and paid their conference fee in full. If
10% of the attendees who paid their conference fee in full did
not register at least two weeks in advance, what percent of
conference attendees registered at least two weeks in
advance?
Choices:
62.0%
79.2%
86.67%
82.0%
Answer: C
Question: 1. X and Y invest Rs.21000 and Rs.17500 respectively in a business. At the end of the year, they make a profit of Rs.26400. What is the share of X in the profit?
Choices:
Rs.14400
Rs.12000
Rs.12500
Rs.13000
Answer: A
Question: 1.12.91 is the first Sunday. Which is the fourth Tuesday of December 91?
Choices:
22.12.91
24.12.91
25.12.91
26.12.91
Answer: B
Question: In a recent survey at a local deli, it was observed that 3 out of 5 customers bought a bagel and 5 out of 7 customers bought a coffee. Some customers bought both. If 3 customers are selected, what are the chances that at least 1 customer bought a coffee and a bagel?
Choices:
3/7
27/125
279/343
9/125
Answer: C
Question: Out of 7 people working on a project, 4 are graduates. If 3 people are selected at random, what is the probability that there is at least one graduate among them?
Choices:
24/25
29/30
34/35
39/40
Answer: C
Question: If 5400 mn = k^4, where m, n, and k are positive integers, what is the least possible value of 4m + n?
Choices:
18
55
25
33
Answer: B
Question: If xerox paper costs 5 cents a sheet and a buyer gets 10% discount on all xerox paper one buys after the first 2000 papers and 20% discount after first 10000 papers, how much will it cost to buy 15000 sheets of xerox paper?
Choices:
$700
$1350
$900
$1000
Answer: A
Question: A tank can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tank from empty state if B is used for the first half time and then A and B fill it together for the other half.
Choices:
20 mins
25 mins
30 mins
35 mins
Answer: C
Question: How many five-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 3 ?
Choices:
66
0
99
132
Answer: B
Question: A total of 24 men and 26 women were at a party, and the average (arithmetic mean) age of all of the adults at the party was exactly 35 years. If the average age of the men was exactly 38 years, which of the following was closest to the average age, in years, of the women?
Choices:
32.2
32
32.5
33
Answer: A
Question: How many different values of positive integer x, for which |x+7|<x, are there?
Choices:
2
3
8
16
Answer: A
Question: The annual birth and death rate in a country per 1000 are 39.4 and 19.4 respectively . the number of years Q in which the population would be doubled assuming there is no emigration or immigration is
Choices:
Q=25
Q=30
Q=35
40
Answer: C
Question: What is the greatest power that 2 can be raised to so that the resulting number is a factor of 20!?
Choices:
8
10
20
15
Answer: B
Question: Tom opened a shop investing Rs.30000. Jose joined him 2 months later, investing Rs.45000. They earned a profit of Rs.54000 after completion of one year. What will be Jose's share of profit?
Choices:
20000
22000
24000
30000
Answer: D
Question: Q-1: How many two digit numbers of distinct digits can be formed by using digits 1, 2, 3, 4, 5, 6 and 7 such that the numbers are divisible by 5?
Choices:
4
5
6
7
Answer: C
Question: 8,13,23,43,83, (...)
Choices:
223
143
163
113
Answer: C
Question: 225 metres long yard, 26 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between 2consecutive trees
Choices:
10
14
16
17
Answer: A
Question: The original price of a suit is $160. The price increased 25%, and after this increase, the store published a 25% off coupon for a one-day sale. Given that the consumers who used the coupon on sale day were getting 25% off the increased price, how much did these consumers pay for the suit?
Choices:
$145
$150
$155
$160
Answer: B
Question: There are 600 students in a school. The ratio of boys and girls in this school is 3:5. Find the total of girls & boys are there in this school?
Choices:
345
375
380
400
Answer: B
Question: A fortune teller has a unique way of predicting his customer’s prognosis. He has three parrots kept in three different cages. Each cage has three cards with a one digit non-zero number inscribed on every card. No two cards have the same number and no cage contains two cards with the number totaling ten. Further the total of numbers on the three cards in the first cage is greater by two than that in the second and by four than that in the third. When a customer asks for his prognosis, the fortune teller lets out the three parrots, which randomly pick one card out of their respective cages. Before the prognosis is made, the fortune teller totals the numbers on the three cards picked out by the parrots and charges the customer the same number of rupees as the total of the numbers on the cards. One day a customer paid seven rupees for his prognosis.
Which of the following combinations of cards may be picked for prognosis?
Choices:
7, 9, 4
2, 6, 3
1, 3, 8
None of these
Answer: D
Question: How many liters of pure alcohol must be added to a 100-liter solution that is 20 percent alcohol in order to produce a solution that is 30 percent alcohol?
Choices:
100/7
20/3
8
39/4
Answer: A
Question: Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
Choices:
8 years
2 years
4 years
6 years
Answer: D
Question: A, Band C enter into partnership. A invests 3 times as much as B and B invests two-third of what C invests. At the end of the year, the profit earned is Rs. 5500. What is the share of B ?
Choices:
1000
1400
1200
None of them
Answer: A
Question: When two dice are rolled, what is the probability that the difference between the two numbers is 3?
Choices:
2/9
1/3
2/3
None of the above
Answer: D
Question: n is a positive integer and k is the product of all integers from 1 to n inclusive. If k is a multiple of 3360, then what is the smallest possible value of n?
Choices:
7
8
9
10
Answer: B
Question: Amy's sells kale at x dollar per pound for the first 30 pounds and .8x for every subsequent pound. Lucia's price is x per pound for the first 14 pounds and .9x for subsequent pounds. What is the minimum number of pounds over 15 for which Amy's becomes an equal or better deal?
Choices:
25
26
27
46
Answer: D
Question: When m is divided by 9, the remainder is 3. When m is divided by 13, the remainder is 9. If 1 < m < 200, what is the greatest possible value of m?
Choices:
65
103
117
165
Answer: D
Question: Indu gave Bindu Rs.1250 on compound interest for 2 years at 8% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest?
Choices:
2
8
4
5
Answer: B
Question: Bill bought 100 packets of candy. He was able to sell 1/2 of them at a 20% profit, another 1/4 of them at zero profit and the remainder was sold at a 5% loss. Find the total profit or loss made by Bill after selling those 100 packets. A packet sold at a loss had a price of $9.
Please provide an intuitive answer if possible. Thanks!!
Choices:
Profit of $87.5
Loss of $25
Profit of $80
Profit of $85
Answer: A
Question: When E is divided by 9, the remainder is 4. All of the following are possible values of E, except for which of the following?
Choices:
31
49
57
67
Answer: C
Question: In how much time will a train of length 100 m, moving at 36 kmph cross an electric pole?
Choices:
10
26
11
12
Answer: A
Question: A policeman noticed a criminal from a distance of 265 km. The criminal starts running and the policeman chases him. The criminal and the policeman run at the rate of 8 km and 9 km per hour respectively. What is the distance between them after 3 minutes ?
Choices:
120 m
130 m
150 m
None of these
Answer: D
Question: The sum of the two digits of a number is 10. If the number is subtracted from the number obtained by reversing its digits, the result is 54. Find the number?
Choices:
84
42
28
64
Answer: C
Question: P and Q can complete a work in 15 days and 10 days respectively. They started the work together and then Q left after 2 days. P alone completed the remaining work. The work was finished in --- days.
Choices:
11
13
12
15
Answer: C
Question: A man sells 4000 common shares of a Company x (each of par value Rs. 10), which pays a dividend of 40% at Rs. 30 per share. He invests the sale proceeds in ordinary shares of Company Y (each of par value Rs. 25) that pays a dividend of 15%. If the market value of Company Y is Rs. 15, find the number of shares of Company Y purchased by the man
Choices:
8000
3000
6000
5000
Answer: A
Question: The sum of two positive integers multiplied by the larger number is 204. The difference multiplied by the smaller number is 35. The larger number is
Choices:
9
10
11
12
Answer: D
Question: Of all the homes on Gotham Street, 2/3 are termite-ridden, and 3/5 of these are collapsing. What fraction of the homes are termite-ridden, but NOT collapsing?
Choices:
b) 3/15
c) 4/15
d) 2/5
e)1/5
Answer: B
Question: How many positive factors do 120 and 96 have in common?
Choices:
8
16
18
24
Answer: A
Question: Kiran received Rs. 6000 as his share out of the total profit of Rs.9000 which he and Arun earned at the end of one year. If Kiran invested Rs. 30,000 for 6 months, whereas Arun invested his amount for the whole year, what was the amount invested by Arun?
Choices:
Rs.6000
Rs.7000
Rs.7500
Rs.6500
Answer: C
Question: In a cricket team, the average of eleven players is 28 years. Out of these, the average ages of three groups of three players each are 19 years, 28 years and 30 years respectively. If in these groups, the captain and the youngest player are not included, and the captain is eleven years older than the youngest player, what is the age of the captain ?
Choices:
44 years
35 years
36 years
37 years
Answer: A
Question: A highway is to be divided into 3 lanes. For this purpose, two yellow stripes are painted so that stripes divide the highway into 3 lanes. If 2 gallons of paint cover an area of 5P square feet of highway, how many gallons of paint are needed to paint two stripes x inches wide on a stretch of highway m miles long? (1 mile = 5280 feet and 1 feet = 12 inches)
Choices:
440P/mx
352mx/P
1760mx/P
5P/352mx
Answer: B
Question: If 2^98=256L+N , where Land N are integers and 0≤N≤4 , what is the value of N ?
Choices:
0
2
3
4
Answer: A
Question: If p and r are integers, and p^2 = 36r, then r must be divisible by which of the following?
Choices:
4
9
7
14
Answer: B
Question: 99^n is such a number begin with 8, least value of n?
Choices:
96157601
26779287
26876297
269181122
Answer: A
Question: 44 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be :
Choices:
56 m
120 m
137 m
None
Answer: A
Question: A is twice as good a work man as B and together they finish the work in 14 days. In how many days A alone can finish the work?
Choices:
21 days
35 days
31 days
24 days
Answer: A
Question: In how many ways can a cricket eleven be chosen out of a batch
of 15 players
Choices:
1355
1340
1365
1300
Answer: C
Question: Two dice are thrown simultaneously. What is the probability of geƫng two numbers whose product is
even ?
Choices:
3/4
7/4
1/2
None of these
Answer: A
Question: The price of commodity X increases by 30 cents every year, while the price of commodity Y increases by 20 cents every year. If in 2001, the price of commodity X was $4.20 and the price of commodity Y was $4.40, in which year will commodity X cost 40 cents more than the commodity Y?
Choices:
2007
2009
2010
2011
Answer: A
Question: √0.0081 is equal to :
Choices:
0.09
±0.08
0.81
None of these
Answer: A
Question: I bought two books; for Rs.490. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?
Choices:
285.83
284.83
266.83
299.83
Answer: A
Question: Oranges are bought at 11 for a rupee and an equal number more at 9 a rupee. If these are sold at 10 for a rupee, find the loss or gain percent?
Choices:
87
65
20
28
Answer: C
Question: 37.	If the cost price of 15 tables be equal to the selling price of 20 tables, the loss per cent is ?
Choices:
30%
25%
37.5%
38 %
Answer: B
Question: Souju's age is 130% of what it was 10 years ago, but 81% of what it will be after 10 years. What is her present age?
Choices:
54 years
56 years
36 years
43years
Answer: D
Question: (469 + 174)^2 - (469 - 174)^2 /(469 x 174)= ?
Choices:
2
295
4
185
Answer: C
Question: Of the three-digit positive integers whose three digits are all different and nonzero, how many are odd integers greater than 700?
Choices:
91
100
105
243
Answer: A
Question: In what ratio should a variety of rice costing Rs. 6.5 per kg be mixed with another variety of rice costing Rs. 8.75 per kg to obtain a mixture costing Rs. 7.50 per kg?
Choices:
5/9
5/4
5/3
7/6
Answer: B
Question: Joe drives 360 miles at 60 miles per hour, and then he drives the next 120 miles at 40 miles per hour. What is his average speed for the entire trip in miles per hour?
Choices:
53
50
54
56
Answer: A
Question: If log 2 = 0.3010 and log 3 = 0.4771, the value of log5 512 is:
Choices:
2.965
3.876
3.9
4.526
Answer: B
Question: John, Karen, and Luke collected cans of vegetables for a food drive. The number of cans that John collected was 1/2 the number of cans that Karen collected and 1/3 the number of cans that Luke collected. The number of cans that Karen collected was what fraction of the total number of cans that John, Karen, and Luke collected?
Choices:
1/3
2/5
1/2
2/3
Answer: A
Question: From January 1, 1991, to January 1, 1993, the number of people enrolled in health maintenance organizations increased by 25 percent. The enrollment on January 1, 1993, was 45 million. How many million people, to the nearest million, were enrolled in health maintenance organizations on January 1, 1991 ?
Choices:
36
40
41
42
Answer: A
Question: James can finish a job in 20 dasy he worked for 10 days alone and completed the remaining part working with David 2 days how many days would both David and James together take to complete the entire job?
Choices:
4
10
12
14
Answer: A
Question: The difference between the local value and face value of 7 in the numeral 657903 is:
Choices:
7896
6993
903
897
Answer: B
Question: A shopkeeper sold 50articles at the cost price of 60 articles. Then find the profit% or lost%
Choices:
20%
25%
30%
35%
Answer: A