antoine-444/aqua_rat_dataset huggingface dataset:
Question: What is the smallest five digit number that is divisible by 16, 36, 40, and 54?
Choices:
10500
10800
11000
11400
Answer: B
Question: 15 lts are taken of from a container full of liquid A and replaced with Liquid B. Again 15 more lts of the mixture is taken and replaced with liquid B. After this process, if the container contains Liquid A and B in the ratio 9:16,What is the capacity of the container Q?
Choices:
B:25
C:37.5
D:36
E:42
Answer: B
Question: How many positive integers less than 100 are multiples of a prime number?
.
Choices:
92
94
96
98
Answer: D
Question: An article is bought for Rs.675 and sold for Rs.945, find the gain percent?
Choices:
40%
33 1/3%
33 2/3%
33 1/2%
Answer: A
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
240
277
127
922
Answer: A
Question: There are 10 women and 9 men in a certain club. If the club is to select a committee of 2 women and 2 men, how many different such committees are possible?
Choices:
720
1,060
1,620
1,980
Answer: C
Question: The compound interest earned by Sunil on a certain amount at the end of two years at the rate of 4% p.a. was Rs.326.40. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned.
Choices:
Rs.4326.40
Rs.4136.40
Rs.4316.40
Rs.4136.40
Answer: A
Question: A rabbit on a controlled diet is fed daily 300 grams of a mixture of two foods, food X and food Y. Food X contains 10% protein and food Y contains 15% protein. If the rabbit's diet provides exactly 38 grams of protein daily, how many grams of food X are in the mixture.
Choices:
140
150
160
200
Answer: A
Question: A cistern which could be filled in 7 hours takes one hour more to be filled owing to a leak in its bottom. If the cistern is full in what time will the leak empty it?
Choices:
70/3 hrs
55 hrs
90 hrs
11 hrs
Answer: A
Question: The speed of the man in still water is 40 kmph. If he can row upstream at 20 kmph, find the downstream.
Choices:
50
55
60
65
Answer: C
Question: How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm?
Choices:
6400
6440
6500
6800
Answer: A
Question: If x is equal to the sum of the even integers from 40 to 60 inclusive, and y is the number of even integers from 40 to 60 inclusive, what is the value of x+y?
Choices:
551
560
561
572
Answer: C
Question: What number should replace the question mark?
16, 23, 19, 19, 22, 15, 25, ?
Choices:
11
13
14
15
Answer: A
Question: A man walks at a speed of 8 km/hr and runs at a speed of 7 km/hr. How much time will the man require to cover a distance of 10 1/2 km, if he completes half of the distance, i.e., (5 1/4) km on foot and the other half by running?
Choices:
1 2/5 hours
2 1/6 hours
2 1/1 hours
2 1/2 hours
Answer: A
Question: Ravi and Ramu are partners in a business.Ravi contributes 1/6 of the capital for 16 months and Ramu received 2/3 of the profit. For how long Ramu's money was used ?
Choices:
6 months
3 months
8 months
9 months
Answer: C
Question: A letter lock consists of 4 rings, each ring contains 9 non-zero digits. This lock can be opened by setting four digit code with the proper combination of each of the 4 rings. Maximum how many codes can be formed to open the lock ?
Choices:
9(4)
9P4
None of these
Cannot be determined
Answer: A
Question: Consider a sequence of numbers given by the expression 7 + (h - 1) * 5, where n runs from 1 to 80.What is the sum of this series ?
Choices:
1636
16360
16000
15360
Answer: B
Question: A sum of Rs. 2704 is lent into two parts so that the interest on the first part for 8 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum?
Choices:
1664
1677
1698
1679
Answer: A
Question: A sum of money is distributed among A,B,C,D in the proportion of 1:3:4:2. If C gets $500 more than D, what is the B's share?
Choices:
$500
$750
$800
$840
Answer: B
Question: A number consists of two digits. If 3/5 of 1/5 of the number is 9. Find the sum of its two digits?
Choices:
28
13
12
11
Answer: C
Question: At what rate percent per annum will sum of money double in 20 years?
Choices:
2 %
4 %
5 %
None of these
Answer: C
Question: If a = -0.4, which of the following is true?
Choices:
a^2 < a^3 < a
a^2 < a < a^3
a < a^3 < a^2
a^3 < a < a^2
Answer: C
Question: If dy + z = d(y + z), which of the following must be true?
Choices:
d= 1 and y = 1
y = 1 and z = 0
d = 1 or y = 0
d = 1 or z = 0
Answer: D
Question: A certain stock exchange designates each stock with a 1, 2 or 3 letter code, where each letter is selected from the 14 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 diff stocks is it possible to designate with these codes?
Choices:
2800
2500
3000
2954
Answer: D
Question: In the xy plane, the point (-2,-3) is the center of a circle. The point (-2,1) lies inside the circle and the point (4,-3) lies outside the circle. If the radius r of the circle is an integer, then r=
Choices:
5
4
3
2
Answer: A
Question: One copy machine can make 15 copies a minute, and a second copy machine makes 10 copies a minute. If the two copiers work together, how long would it take them to make 1,000 copies?
Choices:
30 minutes
40 minutes
50 minutes
60 minutes
Answer: B
Question: If 5 people contributed a total of $20.00 toward a gift and each of them contributed at least $3.00, then the maximum possible amount any one person could have contributed is
Choices:
$1.25
$5.00
$8.00
$20.00
Answer: C
Question: A retailer bought a shirt at wholesale and marked it up 80% to its initial price of $27. By how many more dollars does he need to increase the price to achieve a 100% markup?
Choices:
2
3
4
5
Answer: B
Question: A number is said to be prime saturated if the product of all the different positive prime factors of n is less than the square root of n. What is the greatest two digit prime saturated integer ?
Choices:
98
97
96
95
Answer: C
Question: A man can row his boat with the stream at 26 km/h and against the stream in 4 km/h. The man's rate is?
Choices:
7 kmph
98 kmph
11 kmph
4 kmph
Answer: C
Question: At what % above C.P must an article be marked so as to gain 33% after allowing a customer a discount of 5%?
Choices:
40%
48%
45%
38%
Answer: A
Question: An article is bought for Rs.675 and sold for Rs.775, find the gain percent?
Choices:
14.8%
33 1/3%
93 1/3%
33 1/3%
Answer: A
Question: What percent is 20% of 25%?
Choices:
30%
50%
60%
80%
Answer: D
Question: There are 11 points marked on the circumference of a circle. How many hexagons can be formed by connecting 6 points of the 11 points?
Choices:
454
458
462
466
Answer: C
Question: A boy pays Rs. 369 for an article marked at Rs. 600, by enjoying two successive discounts. If the first discount is of 25%, how much should be the second discount?
Choices:
10 %
25 %
18 %
None of these
Answer: C
Question: When Rahul was born, his father was 26 years older than his brother and his mother was 23 years older than his sister. If Rahul's brother is 4 years older than him and his mother is 3 years younger than his father, how old was Rahul's sister when he was born ?
Choices:
5 years
4 years
6 years
8 years
Answer: B
Question: The length of a train and that of a platform are equal. If with a speed of 72 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
Choices:
299
276
600
211
Answer: C
Question: Which of the following is a non-negative?
Choices:
(b-0.9)(b-0.9)
(b+0.9)(b+1)
(b+1)(b-1)
b(b+1)
Answer: A
Question: When positive integer n is divided by 3, the remainder is 1. When n is divided by 11, the remainder is 9. What is the smallest positive integer k such that k+n is a multiple of 33?
Choices:
2
6
8
10
Answer: A
Question: A man can row upstream at 37 kmph and downstream at 53 kmph, and then find the speed of the man in still water?
Choices:
92
30
32
45
Answer: D
Question: In a Lake, there is a patch of lily pads. Every day, the patch doubles in size. It takes 39 days for the patch to cover the entire lake, how many days would it take the patch to cover half of the lake?
Choices:
2^4*3
24
38
47
Answer: C
Question: a girl scout sold 5 macadamia cookies, 10 peanut butter cookies and 15 butter cookies. what is the ratio of the peanut butter cookies to the total sold?
Choices:
1/3
5/10
10/15
5/15
Answer: A
Question: If the volume of two cubes are in the ratio 125:1, the ratio of their edges is:
Choices:
5:1
3:5
3:7
None of these
Answer: A
Question: A and B invests Rs.3000 and Rs.4000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit?
Choices:
9:8
3:4
39:49
38:49
Answer: A
Question: At what percentage above the C.P must an article be marked so as to gain 33% after allowing a customer a discount of 5%?
Choices:
40%
43%
48%
50%
Answer: A
Question: If each term in the sum a1+a2+a3+.....+an is either 7 or 77 and the sum equals 336, which of the following could be equal to n?
Choices:
38
40
41
42
Answer: A
Question: A company has two models of computers, model M and model N. Operating at a constant rate, a model M computer can complete a certain task in 36 minutes and a model N computer can complete the same task in 18 minutes. If the company used the same number of each model of computer to complete the task in 1 minute, how many model M computers were used?
Choices:
12
10
9
8
Answer: A
Question: How many positive integer solutions does the equation 5x+10y = 100 have?
Choices:
2
38
35
14
Answer: A
Question: Two trains 200m and 300m long run at the speed of 70kmph and 50kmph in opposite directions in parallel tracks. The time which they take to cross each other is?
Choices:
15sec
18sec
20sec
22sec
Answer: A
Question: If the three-digit number 5W2 is evenly divisible by 8, which of the following could be the digit W ?
Choices:
5
3
2
1
Answer: A
Question: If 350!/10^n is an integer, what is the largest possible value of n?
Choices:
82
86
87
80
Answer: B
Question: A person travels through 5 cities - A, B, C, D, E. Cities E is 2 km west of D. D is 3 km north-east of A. C is 5 km north of B and 4 km west of A. If this person visits these citiesin the sequence B - C - A - E - D, what is the effective distance between cities B and D?
Choices:
13
14
15
16
Answer: A
Question: In a group of ducks and Cows, the total number of legs are 16 more than twice the no. of heads. Find the total no.of buffaloes.
Choices:
12
8
12
14
Answer: B
Question: What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 12%?
Choices:
29%
32%
80%
90%
Answer: B
Question: If the cost price of 12 pencils is equal to the selling price of 8 pencils, the gain percent is:
Choices:
40
50
60
70
Answer: B
Question: A box contains 100 balls, numbered from 1 to 100. If three balls are selected at random and with replacement from the box, what is the probability that the sum of the three numbers on the balls selected from the box will be odd?
Choices:
3/8
1/2
5/8
3/4
Answer: B
Question: The units digit of (10)^(87) + (5)^(46) is:
Choices:
4
6
8
0
Answer: D
Question: If a 6 cm cube is cut into 1 cm cubes, then what is the percentage increase in the surface area of the resulting cubes?
Choices:
400%
500%
600%
750%
Answer: B
Question: The winning relay team in a high school sports competition clocked 48 minutes for a distance of 13.2 km. Its runners A, B, C and D maintained speeds of 18 kmph, 19 kmph, 20 kmph, and 21 kmph respectively. What is the ratio of the time taken by B to than taken by D?
Choices:
5:17
9:8
8:9
None of these
Answer: D
Question: Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 45 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Choices:
40
26
23
12
Answer: A
Question: Stacy and Heather are 5 miles apart and walk towards each other along the same route. Stacy walks at constant rate that is 1 mile per hour fast than heather's constant rate of 5 miles/hour. If Heather starts her journey 24 minutes after Stacy, how far from the original destination has Heather walked when the two meet?.
Choices:
1.9mile
1.7mile
1.5mile
1.18mile
Answer: D
Question: In how many ways can 6 people, A, B, C, D, E, F be seated in a row such that C and D are not seated next to each other as well as A and B are not seated next to each other?
Choices:
396
576
624
696
Answer: C
Question: When four dice are thrown, what is the probability that the same number appears on each of them ?
Choices:
1/18
1/216
1/5
1/8
Answer: B
Question: If the least common multiple of two prime numbers x and y is 10, where x < y, then the value of 3x + y is
Choices:
9
11
12
21
Answer: B
Question: The ages of two persons differ by 24 years. If 5 years ago, the elder one be 5 times as old as the younger one, their present ages (in years) are respectively
Choices:
20,10
25,15
35,11
None of these
Answer: C
Question: Express a speed of 36 kmph in meters per second?
Choices:
10 mps
97 mps
17 mps
18 mps
Answer: A
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.64000?
Choices:
Rs.81000
Rs.75000
Rs.64000
Rs.68000
Answer: A
Question: How many 3-digit numbers can be formed with the digits 1,4,7,8 and 9 if the digits are not repeated?
Choices:
40
60
80
100
Answer: B
Question: 16 ltr of water is added with 24 ltr of a solution containing 90%of alcohol in the water. The %of alcohol in the new mixture is?
Choices:
52%
54%
60%
70%
Answer: B
Question: In how many ways can you seat 6 people on a bench if one of them does not want to sit at either end?
Choices:
400
440
480
520
Answer: C
Question: Find the smallest number which should be divided with 3872 to make it a perfect square.
Choices:
6
2
4
1
Answer: B
Question: x is a positive integer less than 400. When x is divided by 7, the remainder is 1; when x is divided by 3, the remainder is 2. How many x are there?
Choices:
22
23
24
25
Answer: B
Question: Robert's salary was decreased by 50% and subsequently increased by 50%. how much percentage does he lose?
Choices:
20%
25%
30%
50%
Answer: B
Question: A scuba diver descends at a rate of 40 feet per minute. a diver dive from a ship to search for a lost ship at the depth of 3000feet below the sea level..how long will he take to reach the ship?
Choices:
72 minutes
75 minutes
76 minutes
77 minutes
Answer: B
Question: The positive difference between Sam and Lucy’s ages is b, and the sum of their ages is x. If Lucy is older than Sam, then which of the following represents Lucy’s age?
Choices:
b - x/2
2b+ x
(x + b)/2
(b - x)/2
Answer: C
Question: If K is the sum of reciprocals of the consecutive integers from 33 to 38, inclusive, then K is closest in value to which of the following?
Choices:
1/10
1/8
1/7
1/4
Answer: C
Question: In an election, candidate A got 55% of the total valid votes. If 15% of the total votes were declared invalid and the total numbers of votes is 560000, find the number of valid vote polled in favor of candidate?
Choices:
261800
356500
356800
357000
Answer: A
Question: Mike earns $17.5per hour and Phil earns $10.5 per hour. Approximately how much less, as a percentage, does Phil earn than Mike per hour?
Choices:
32.5%
37%
37.5%
40%
Answer: D
Question: Two trains are moving at 60 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
Choices:
6 12/13 sec
7 2/2 sec
8 1/2 sec
7 1/9 sec
Answer: A
Question: Which of the following is a prime number ?
Choices:
86
88
97
98
Answer: C
Question: Ratio of Ravi's and Ashok's present ages is 4:5 After 6 years it will be 5:6. What is Ravi's present age?
Choices:
15 Years
20 Years
24 Years
25 Years
Answer: C
Question: What is the remainder when 46*49 is divided by 8?
Choices:
3
4
6
7
Answer: C
Question: Nick's average (arithmetic mean) test score on 4 tests is 78. What must be the student's score on a 5th test for the Nick's average score on the 5 tests to be 80?
Choices:
82
84
86
88
Answer: D
Question: Guadalupe owns 2 rectangular tracts of land. One is 300 m by 500 m and the other is 250 m by 630 m. The combined area of these 2 tracts is how many square meters?
Choices:
307,500
621,500
704,000
2,816,000
Answer: A
Question: What is the ratio between perimeters of two squares one having 3 times the diagonal then the other?
Choices:
3:3
3:9
3:1
3:2
Answer: C
Question: Sound is said to travel in air at about 1100 feet per second. A man hears the axe striking the tree, 11/5 seconds after he sees it strike the tree. How far is the man from the wood chopper?
Choices:
3777
2998
2420
2778
Answer: C
Question: Which of the following is closest to 10^150 – 10^30 ?
Choices:
10^180
10^150
10^90
10^6
Answer: B
Question: If two numbers are in the ratio 6:7. If 10 is Reduced to both of the numbers then the ratio becomes 5:6 then find the smallest number?
Choices:
30
60
70
80
Answer: B
Question: In some quantity of ghee, 60% of pure ghee and 40% of is vanaspati. If 10kg of pure ghee is added, then the strength of vanaspati ghee becomes 20%. The original quantity was?
Choices:
10kg
15kg
20kg
25kg
Answer: A
Question: There are 20 balls in a jar. You take out 2 blue balls without putting them back inside, and now the probability of pulling out a blue ball is 1/5. How many blue balls were there in the beginning?
Choices:
12.
8.
7.
6.
Answer: A
Question: The present population of a town is 3600. Population increase rate is 20% p.a. Find the population of town before 2 years?
Choices:
2500
3500
3600
2050
Answer: A
Question: Anita, Indu and Geeta can do a piece of work in 18 days, 27 days and 36 days respectively. They start working together. After working for 4 days. Anita goes away and Indu leaves 7 days before the work is finished. Only Geeta remains at work from beginning to end. In how many days was the whole work done?
Choices:
16 days
77 days
44 days
33 days
Answer: A
Question: The sides of a cube measures 6.5cm. If the surface area of the cube is the same as a ball, what is the radius of the ball? Round to the nearest whole number.
Choices:
7
4
8
6
Answer: B
Question: If the side length of Square B is four times that of Square A, the area of Square B is how many times the area of Square A?
Choices:
16
12
8
4
Answer: A
Question: W, X and Y invested Rs.8100, Rs.7200 and Rs.2700 respectively, in a partnership business. Find the share of Y in profit of Rs.60000 after a year?
Choices:
6000
9000
12000
15000
Answer: B
Question: In a simultaneous throw of a pair of dice, find the probability of getting a total more than 10
Choices:
2/15
1 by 12
3/17
6/19
Answer: B
Question: What is the sum of the first 24 natural numbers (starting from 1)?
Choices:
300
350
400
450
Answer: A
Question: Evaluate: 20 - 12÷4×2 =
Choices:
B)24
C)36
D)48
E)60
Answer: A
Question: The average of 11 results is 53, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
Choices:
B)23
C)66
D)76
E)74
Answer: A
Question: Some ladies can do a piece of work in 12 days. Two times the number of such ladies will do half of that
work in :
Choices:
4 days
12 days
3 days
2 days
Answer: C
Question: The smallest number which when diminished by 3 is divisible by 21,28,36 and 45 is...
Choices:
869
859
4320
427
Answer: D
Question: A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 380 km of the tour is:
Choices:
35.55 km/hr
71.11 km/hr
84.44 km/hr
71 km/hr
Answer: C
Question: A sum of money becomes triple itself in 5 years at simple interest. How many years will it become eight times at the same rate?
Choices:
16 Â½ years
18 Â½ years
72 Â½ years
12 Â½ years
Answer: A
Question: When the numerator of a fraction is decreased by 25% and its denominator is decreased by 20%, the new fraction obtained is 3/4. Find the original fraction?
Choices:
7/2
5/2
3/4
None of these
Answer: D
Question: A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 30,000, C receives:
Choices:
s. 7,200
s. 7,400
s. 7,700
s. 7,800
Answer: A
Question: 1240 men have provisions for 12 days. If 300 more men join them, for how many days will the provisions last now?
Choices:
12.0
9.7
8.6
12.1
Answer: B
Question: All of the stocks on the over-the-counter market are designated by either a 3-letter or a 4-letter code that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different stocks that can be designated with these codes?
Choices:
b. 26(26^4)
c. 27(26^3)
d. 26(26^5)
e. 27(26^5)
Answer: B
Question: One ton has 2200 pounds, and one pound has 16 ounces. How many packets containing wheat weighing 16 pounds and 4 ounces each would totally fill a gunny bag of capacity 13 tons?
Choices:
1760
2350
2500
8000
Answer: A
Question: If m > 0 and z is m percent of y, then, in terms of m, y is what percent of z?
Choices:
b) 1/100m
c) 1/m
d) 10,000/m
e) 10/m
Answer: C
Question: The number of new words that can be formed by rearranging the letters of the word 'can' is?
Choices:
6
10
8
5
Answer: D
Question: The largest 4 digit number exactly divisible by 88 is?
Choices:
9939
9944
9954
9960
Answer: B
Question: Find the L.C.M of 2^3 * 3^2* 5 *7^3*11^3, 2^4 * 3^2* 5^3* 7^3*11, 2^2* 3* 5^3* 7^3*11
Choices:
2^4 * 3^2 * 5^3 * 7^3 * 11^3
2^2*3^4*5^3 * 7^4 * 11
2^2*3^3*5^3 * 7^4 * 11^3
2^3*3^3*5^3 * 7^4 * 11^2
Answer: A
Question: When processing flower-nectar into honey bees' extract, a considerable amount of water gets reduced. How much flower-nectar must be processed to yield 1kg of honey, if nectar contains 50% water, and the honey obtained from this nectar contains 20% water?
Choices:
1.5 kg
1.7 kg
1.6 kg
None of these
Answer: C
Question: Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 12 cm
Choices:
179 cm2
285 cm2
167 cm2
228 cm2
Answer: D
Question: P alone can complete a piece of work in 6 days. Work done by Q alone in one day is equal to one-third of the work done by P alone in one day. In how many days can the work be completed if P and Q work together?
Choices:
4(1/2)
65
9
1
Answer: A
Question: A division of a company consists of four men and eight women. If two of these twelve employees are randomly selected as representatives of the division, what is the probability that both representatives will be female?
Choices:
7/33
14/33
7/66
14/66
Answer: B
Question: 15 Java programmers, working in a constant pace, finish a web page in 3 days. If after one day, 9 programmers quit, how many more days are needed to finish the
remainder of the job?
Choices:
5.
8.
4.
6.
Answer: A
Question: If x^2 = 141, which of the following is closest to a potential value of x?
Choices:
-11
12
13
131
Answer: B
Question: How many two-digit whole numbers yield a remainder of 2 when divided by 12 and also yield a remainder of 2 when divided by 6?
Choices:
Five
Six
Seven
Eight
Answer: B
Question: Of the 150 employees at company X, 50 are full-time, and 100 have worked at company X for at least a year. There are 20 employees at company X who aren’t full-time and haven’t worked at company X for at least a year. How many full-time employees of company X have worked at the company for at least a year?
Choices:
20
50
80
100
Answer: A
Question: Set S contains exactly 10 numbers and has an average (arithmetic mean) of 6.2. If one of the numbers in Set S is increased by 3, while all other numbers remain the same, what is the new average of Set S?
Choices:
6.5
6.8
6.85
6.9
Answer: A
Question: Each shelf of a bookcase contained 12 books. If the librarian took out 22 books and rearranged the remaining books so that all shelves but one contained 8 books and the last shelf contained 10 books, how many shelves does the bookcase have?
Choices:
6
7
5
4
Answer: A
Question: The average of first five prime numbers greater than 5 is?
Choices:
13.4
12.3
32.8
32.4
Answer: A
Question: Find the average of all prime numbers between 30 and 50
Choices:
39.8
41.2
50.9
62
Answer: A
Question: Of all the homes on Gotham Street, 1/3 are termite-ridden, and 5/8 of these are collapsing. What fraction of the homes are termite-ridden, but NOT collapsing?
Choices:
1/4
1/5
1/6
1/8
Answer: D
Question: The compound interest on a certain sum for 2 years at 10% per annum is $525. The simple interest on the same sum for double the time at half the rate percent per annum is:
Choices:
$500
$600
$800
$900
Answer: A
Question: Alex takes a loan of $8,000 to buy a used truck at the rate of 9 % simple Interest.Calculate the annual interest to be paid for the loan amount.
Choices:
700
720
730
750
Answer: B
Question: A shopkeeper sold an article offering a discount of 5% and earned a profit of 23.5%. What would have been the percentage of profit earned if no discount was offered?
Choices:
18%
30%
17%
12%
Answer: B
Question: 617 + 6.017 + 0.617 + 6.0017 = ?
Choices:
62.9635
629.6357
0.62963
None of them
Answer: B
Question: Pipe A fills a tank in 20 minutes. Pipe B can fill the same tank 4 times as fast as pipe A. If both the pipes are kept open when the tank is empty, how many minutes will it take to fill the tank?
Choices:
3
4
5
6
Answer: B
Question: John invests $x at the semi-annual constant compounded rate of 2 percent and also does $15,000 at the quarterly constant compounded rate of 4 percent. If the interests are the same after 1 year, what is the value of x??
Choices:
30000
40000
30301.5
50000
Answer: C
Question: In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when a boy gets any no. of prizes?
Choices:
43
64
78
98
Answer: B
Question: The function g(j) is defined for integers j such that if j is even, g(j) = j/2 and if j is odd, g(j) = j + 5. Given that g(g(g(g(g(j))))) = 19, how many possible values for j would satisfy this equation?
Choices:
5
7
8
11
Answer: C
Question: 13 buckets of water fill a tank when the capacity of each bucket is 42 litres. How many buckets will be needed to fill the same tank, if the capacity of each bucket is 6 litres?
Choices:
91
96
98
90
Answer: A
Question: A certain lab experiments with white and brown mice only. In one experiment, 2/3 of the mice are white. If there are 14 white mice in the experiment, how many brown mice are in the experiment?
Choices:
8
28
7
27
Answer: C
Question: During a Thanksgiving weekend, a car rental company rented seven-tenths of their vehicles, including two-fifths of the 4WDs that it had. If 40% of the vehicles are 4WDs, then what percent of the vehicles that were not rented were not 4WDs?
Choices:
20%
40%
60%
25%
Answer: A
Question: People standing in a straight line are wearing alternating colored shirts. The pattern of shirts begins with red, followed by green, blue, white and yellow. This pattern continues (red, green, blue, white and yellow) until it ends with a blue shirt. If there are more than 5 people in line, which of the following cannot be the number of people in the line?
Choices:
27
53
63
78
Answer: A
Question: The area of one square is x^2 + 10x + 25 and the area of another square is 4x^2 − 12x + 9. If the sum of the perimeters of both squares is 32, what is the value of x?
Choices:
2
2.5
4.67
10
Answer: A
Question: he number of sequences in which 10 players can throw a ball, so that the youngest player may not be the last is?
Choices:
2377110
3265920
2882124
2782000
Answer: B
Question: 100 kg of a mixture containing milk and water in the ratio 11:5. How much more water is to be added to get a new mixture containing milk and water in the ratio 3:2?
Choices:
5.78kg
3.45kg
4.17kg
6kg
Answer: C
Question: In how many ways can the integer 48 be expressed as a product of two different positive integers?
Choices:
8
5
4
2
Answer: B
Question: In a 500 m race, the ratio of the speeds of two contestants A and B is 3 : 4. A has a start of 140 m. Then, A wins by:
Choices:
20 m
60 m
45 m
55 m
Answer: A
Question: A manufacturer of a certain product can expect that between 0.2 percent and 0.5 percent of the units manufactured will be defective. If the retail price is $2,500 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 $30,000 and $50,000
Between $60,000 and $100,000
Between $100,000 and $250,000
Between $300,000 and $500,000
Answer: C
Question: The difference of the areas of two squares drawn on two line segments in 32 sq. cm. Find the length of the greater line segment if one is longer than the other by 2 cm
Choices:
8 cm
7 cm
6 cm
5 cm
Answer: B
Question: A man's speed with the current is 20 kmph and speed of the current is 4 kmph. The Man's speed
against the current will be
Choices:
12 kmph
14 kmph
17 kmph
None of these
Answer: A
Question: At a certain university, the ratio of the number of teaching assistants to the number of students in any course must always be greater than 3:50. At this university, what is the maximum number of students possible in a course that has 4 teaching assistants?
Choices:
64
65
66
67
Answer: C
Question: The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 480 sq cm. Find the area of the square?
Choices:
268
260
480
632
Answer: C
Question: Zachary is helping his younger brother, Sterling, learn his multiplication tables. For every question that Sterling answers correctly, Zachary gives him 3 pieces of candy. For every question that Sterling answers incorrectly, Zachary takes away two pieces of candy. After 8 questions, if Sterling had answered 2 more questions correctly, he would have earned 31 pieces of candy. How many of the 8 questions did Zachary answer correctly?
Choices:
7
8
9
10
Answer: B
Question: The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Re. 1. The sum (in Rs. ) is?
Choices:
625
269
200
267
Answer: A
Question: What is the probability that a man flipping ten fair coins flips at least two heads?
Choices:
1/2
1/512
1013/1024
1023/1024
Answer: C
Question: Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is
Choices:
5/9
5/3
5/1
5/2
Answer: A
Question: If k,m ,and n are positive real numbers such that k(m+n) = 152, m(n+k) =162 , and n(k+m) = 170, then kmn is
Choices:
b) 688
c) 704
d) 720
e) 750
Answer: C
Question: Arjun started a business with Rs. 5,000 and is joined afterwards by Anoop with Rs.10, 000. After how many months did Anoop join if the profits at the end of the year are divided equally?
Choices:
4
5
6
7
Answer: C
Question: The average of 1st 3 of 4 numbers is 16 and of the last 3 are 15. If the sum of the first and the last number is 13. What is the last numbers?
Choices:
8
5
4
3
Answer: B
Question: The ratio of the volumes of two cubes is 216 : 343. What is the ratio of their total surface areas?
Choices:
31:36
81:22
8:19
1:11
Answer: A
Question: Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Five years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?
Choices:
40
27
24
None of these
Answer: A
Question: If n is an integer, f(n) = f(n-1) - n and f(4)=14. What is the value of f(6)?
Choices:
3
1
2
4
Answer: A
Question: Two men Amar and Bhavan have the ratio of their monthly incomes as 6:5. The ratio of their monthly expenditures is 3:2. If Bhavan saves one-fourth of his income, find the ratio of their monthly savings?
Choices:
3:10
3:26
3:19
3:16
Answer: A
Question: If the area of a square with sides of length 9 centimeters is equal to the area of a rectangle with a width of 3 centimeters, what is the length of the rectangle, in centimeters?
Choices:
27
12
16
18
Answer: A
Question: Last year Department Store X had a sales total for December that was 6 times the average (arithmetic mean) of the monthly sales totals for January through November. The sales total for December was what fraction of the sales total for the year?
Choices:
6/17
1/3
4/11
4/5
Answer: A
Question: If r is even and s is odd, which of the following is odd?
Choices:
5rs
6(r^2)s
5r + 6s
6r + 5s
Answer: D
Question: During 2001, a stock lost 80 percent of its value. During the following year, the stock's value increased by 100 percent. Which of the following is the percent change in the stock's value during those two years?
Choices:
60 percent decrease
20 percent increase
60 percent increase
140 percent increase
Answer: A
Question: One night a certain hotel rented 3/4 of its rooms. including 2/3 of their air conditioned rooms. if 3/5 of its rooms were air conditioned, what percent of the rooms that were not rented were air conditioned?
Choices:
33 1/3
35
40
80
Answer: D
Question: In Town X, 64 percent of the population are employed, and 46 percent of the population are employed males. What percent of the employed people in Town X are females?
Choices:
27%
32%
40%
52%
Answer: A
Question: The age of father 6 years ago was four times the age of his son. Five years hence, father's age will be twice that of his son. The ratio of their present ages is:
Choices:
43 : 23
51 : 23
53 : 23
56 : 23
Answer: D
Question: The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?
Choices:
2
3
4
None
Answer: C
Question: Little Texas Drilling Company has three wells, each producing oil at a constant rate. Well A produces one barrel every two minutes. Well B produces one barrel every three minutes. Well C produces one barrel every four minutes. How many hours does it take Little Texas Drilling Company to produce 205 barrels of oil?
Choices:
3
4
18
180
Answer: B
Question: A man takes 5 hours 45 min in walking to a certain place and riding back. He would have gained
2 hours by riding both ways. The time he would take to walk both ways is
Choices:
8 hrs 45 min
7 hrs 45 min
9 hrs 20 min
10 hrs
Answer: B
Question: four mobsters have arrived at the theater for the premiere of the film “Goodbuddies.” One of the mobsters, Frankie, is an informer, and he's afraid that another member of his crew, Joey, is on to him. Frankie, wanting to keep Joey in his sights, insists upon standing behind Joey in line at the concession stand, though not necessarily right behind him. How many ways can the four arrange themselves in line such that Frankie’s requirement is satisfied?
Choices:
24
32
36
42
Answer: A
Question: What amount does Kiran get if he invests Rs.4500 at 10% p.a. compound interest for three years, compounding done annually?
Choices:
2787
2097
5989
2886
Answer: C
Question: Radha started a business, investing 75,000. After 3 months, Sunidhi joined her with an amount of 1,25,000 and after another six months Neha joined them with an amount of 1,50,000. Profit earned at the end of three years from when Radha started the business should be distributed in what ratio among Radha, Sunidhi and Neha respectively?
Choices:
36 : 55 : 54
35 : 54 : 55
Cannot be determined
None of these
Answer: A
Question: A number when divided by a divisor leaves a remainder of 24.
When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor?
Choices:
37
42
44
45
Answer: A
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. 3300. What is the share of B ?
Choices:
800
1400
600
None of them
Answer: C
Question: A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 24 seconds. What is the length of the goods train?
Choices:
230 m
260 m
270 m
None of these
Answer: A
Question: The ratio of two numbers is 3:4 and their sum is 49. The greater of the two numbers is?
Choices:
14
16
17
28
Answer: D
Question: The unit digit in the product (624 * 708 * 913 * 463) is:
Choices:
5
6
8
10
Answer: C
Question: (51+ 52 + 53 + ... + 100) = ?
Choices:
3775
3800
3900
4000
Answer: A
Question: In an electric circuit, two resistors with resistances A and B are connected in parallel. In this case, if r is the combined resistance of these two resistors, then the reciprocal of C is equal to the sum of the reciprocals of A and B. What is C in terms of A and B?
Choices:
(A+B)/AB
A+B
AB
AB/(A + B)
Answer: D
Question: A library has an average of 570 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is:
Choices:
276
280
295
None
Answer: C
Question: If x-y=8, which of the following must be true?
I. If x is negative, y must be negative
II. Both x and y are positive
III. If x is positive, y must be positive
Choices:
I only
III only
I and II
II and III
Answer: A
Question: Ajay had purchased a second hand scooter for 18,000 and spent Rs.1800 for repairs. After one year he wanted to sell the scooter. At what price should he sell it to gain 100/9%, if 100/11% is to be deducted at the end of every year on account of deprecation?
Choices:
Rs.19800
Rs.20000
Rs.22500
Rs.23500
Answer: B
Question: Find compound interest on Rs. 8000 at 15% per annum for 2 years 4 months, compounded annually
Choices:
8952
3309
3109
3528
Answer: C
Question: At Company K, 15 percent of the employees are secretaries and 60 percent are salespeople. If there are 45 other employees of Company K, how many employees does Company K have?
Choices:
180
190
200
400
Answer: A
Question: A ship 77 km from the shore, springs a leak which admits to 9/4 tonnes of water in 11/2 minutes. 92 tonnes of water would sink it. But the pumps can throw out 12 tonnes of water per hour. Find the average rate of sailing so that the ship may just reach the shore as it begins to sink.
Choices:
10.5
12
13
15
Answer: A
Question: On dividing a number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder ?
Choices:
5
6
8
9
Answer: A
Question: Total dinning bill for 5 people was $211.00.If they add 15% tip and divided the bill evenly ,approximate.What was each persons find share
Choices:
48.53
34.66
32.29
33.16
Answer: A
Question: he probability that a number selected at random from the first 50 natural numbers is a composite number is ?
Choices:
17/25
21/25
8/25
9/25
Answer: A
Question: If the positive integer x is a multiple of 7 and the positive integer y is a multiple of 6, then xy must be a multiple of which of the following?
I. 8
II. 12
III 18
Choices:
II only
I and III only
II and III only
I, II and III
Answer: A
Question: A grocer stacked oranges in a pile. The bottom layer was rectangular with 4 rows of 8 oranges each. In the second layer from the bottom, each orange rested on 4 oranges from the bottom layer, and in the third layer, each orange rested on 4 oranges from the second layer. Which of the following is the maximum number of oranges that could have been in the third layer?
Choices:
12
10
7
4
Answer: A
Question: A trumpet section includes four musicians. If they hold an audition to determine chair order within the section, and there are to be no ties, how many distinct chair orders can result?
Choices:
125
120
100
24
Answer: D
Question: A room is 6 meters 24 centimeters in length and 4 meters 32 centimeters in Width. Find the least number of square tiles of equal size required to cover the entire floor of the room.
Choices:
117
127
137
147
Answer: A
Question: How many days will there be from 28th January,1996 to 15th May,1996(both days included)?
Choices:
103
111
109
121
Answer: C
Question: A car ferry can hold up to 70 tons of cargo. What is the greatest number of vehicles that the ferry can carry if half the vehicles are cars with an average (arithmetic mean) weight of 0.75 tons and half of the vehicles are trucks with an average (arithmetic mean) weight of 6 tons?
Choices:
20
28
32
36
Answer: A
Question: Which of the following correctly lists the data sets in order of least to greatest standard deviation?
I. 2, 2, 2, 2, 1 2
II. 42, 22, 32, 42, 32, 42
III. 30, 30, 32, 30, 31, 32
Choices:
I, III, II
II, I, III
II, III, I
III, II, I
Answer: A
Question: A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is:
Choices:
9 km/hr
10 km/hr
12.5 km/hr
25km/hr
Answer: B
Question: In Country T, the unemployment rate among construction workers dropped from 16 percent on September 1, 1992, to 9 percent on September 1, 1996. If the number of construction workers was 20 percent greater on September 1, 1996, than on September 1, 1992, what was the approximate percent change in the number of unemployed construction workers over this period?
Choices:
30% decrease
15% decrease
30% increase
55% increase
Answer: A
Question: In a meeting of 4 representatives from each of 5 different companies, each person shook hands with every person not from his or her own company. If the representatives did not shake hands with people from their own company, how many handshakes took place?
Choices:
160
180
190
200
Answer: A
Question: It is being given that (2^32 + 1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number?
Choices:
(2^16 - 1)
(7 x 2^23)
(2^96 + 1)
(2^98 + 1)
Answer: C
Question: A student has to obtain 33% of the total marks to pass. He got 175 marks and failed by 56 marks. The maximum marks are?
Choices:
300
500
610
700
Answer: D
Question: Rosy has 8 shirts and 9 pants. How many clothing combinations does Barbara have, if she doesn’t wear 6 specific shirts with 5 specific pants?
Choices:
66
42
70
56
Answer: B
Question: A certain set of numbers has an average (arithmetic mean) of 50 and a standard deviation of 50.5. If c and n, two numbers in the set, are both within 2 standard deviations from the average, then which of the following could be the sum of c and n?
Choices:
-130
-104
51
305
Answer: C
Question: Seven machines at a certain factory operate at the same constant rate. If six of these machines, operating simultaneously, take 42 hours to fill a certain production order, how many fewer hours does it take all seven machines, operating simultaneously, to fill the same production order?
Choices:
4
5
6
7
Answer: C
Question: How many cubes of 5 cm edge can be put in a cubical box of 1 m edge.
Choices:
8000 cm
7860 cm
6170 cm
1870 cm
Answer: A
Question: A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.18000. A's share is?
Choices:
2792
6000
2876
2791
Answer: B
Question: X starts a business with Rs.45000. Y joins in the business after 7 months with Rs.30000. What will be the ratio in which they should share the profit at the end of the year?
Choices:
18:5
1:5
3:1
1:1
Answer: A
Question: Brenda caught three less than twice as many fish as Olga. Together they caught 33 fish. How many fish did Olga catch?
Choices:
20
13
12
15
Answer: C
Question: The toll for crossing a certain bridge is $0.75 each crossing. Drivers who frequently use the bridge may instead purchase a sticker each month for $11.00 and then pay only $0.30 each crossing during that month. If a particular driver will cross the bridge twice on each of x days next month and will not cross the bridge on any other day, what is the least value of x for which this driver can save money by using the sticker?
Choices:
15
16
28
29
Answer: D
Question: A train 150 m long running at 72 kmph crosses a platform in 25 sec. What is the length of the platform?
Choices:
298
350
726
267
Answer: B
Question: A train speeds past a pole in 11 seconds and a platform 120 m long in 22 seconds. Its length is?
Choices:
177
199
120
150
Answer: C
Question: Pavan travelled for 15 hours. He covered the first half of the distance at 30 kmph and remaining half of the distance at 25 kmph. Find the distance travelled by Pavan.
Choices:
409 km
410 km
412 km
419 km
Answer: A
Question: The ratio of radius of a circle and the side of a square is 2 : 13. Find the ratio of their areas:
Choices:
4 : 7
8 : 77
4 : 169
None
Answer: C
Question: Sonika deposited Rs.8000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 2% more. She would get how much?
Choices:
9680
2999
2774
1212
Answer: A
Question: A contractor hires 100 men to finish a job in 50 days. After 24 days, n men leave. After some more days, the contractor hires 2n more men to complete the job on time. For how many days did these 2n men work?
Choices:
18
16
13
8
Answer: C
Question: A $500 investment and a $1,500 investment have a combined yearly return of 13 percent of the total of the two investments. If the $500 investment has a yearly return of 7 percent, what percent yearly return does the $1,500 investment have?
Choices:
15%
105/8%
11%
12%
Answer: A
Question: Three people with different speeds of 4.5kmph,0.5kmph and 8kmph move around a circular track of 11km.at what time they meet each other?
Choices:
22 hours
20 hours
23 hours
24 hours
Answer: A
Question: January 1, 2007 was Monday. What day of the week lies on Jan. 2, 2008?
Choices:
Tuesday
Wednesday
Friday
Sunday
Answer: B
Question: What is the smallest number which when diminished by 16, is divisible 4, 6, 8 and 10?
Choices:
136
198
122
142
Answer: A
Question: The probability that event M will not occur is 0.6 and the probability that event R will not occur is 0.6. If events M and R cannot both occur, which of the following is the probability that either event M or event R will occur?
Choices:
2/5
3/5
4/5
12/25
Answer: C
Question: To save money, Arkadelphia Cream Cheese will reduce each dimension of its rectangular box container (which is entirely full of cream cheese) by 60%, and reduce the price it charges its consumers by 60% as well. By what percentage does this increase the price-per-cubic-inch that each consumer will pay for cream cheese?
Choices:
2. 50%
3. 525%
4. 300%
5. 400%
Answer: B
Question: A rower can row upstream at 7 km/hr and downstream at 12 km/hr. What is the rower's rate in still water?
Choices:
8.5 km/hr
9.0 km/hr
9.5 km/hr
10 km/hr
Answer: C
Question: A computer factory produces 5376 computers per month at a constant rate, how many computers are built every 30 minutes assuming that there are 28 days in one month?
Choices:
3.125.
4.5.
4.00.
6.25.
Answer: C
Question: A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?
Choices:
44
10 liters water
45 liters
8 liters
Answer: B
Question: If x > 7, which of the following is equal to (x^2 + 10x + 25)/(x^2 - 25) ?
Choices:
(x + 5)/(x - 5)
(x - 2)/(x + 4)
(x + 4)/(x - 4)
(x - 8)/(x - 4)
Answer: A
Question: For any positive integer n, n>1, thelengthof n is the number of positive primes (not necessary distinct) whose product is n. For ex, the length of 40 is 3, since 50=2x5x5. What is the greatest possible length of a positive integer less than 1000.
Choices:
9
8
7
6
Answer: D
Question: A certain sum of money at simple interest amounted Rs.900 in 9 years at 5% per annum, find the sum?
Choices:
268
198
620
168
Answer: C
Question: In an election, candidate Douglas won 66 percent of the total vote in Counties X and Y. He won 74 percent of the vote in County X. If the ratio of people who voted in County X to County Y is 2: 1, what percent of the vote did candidate Douglas win in County Y?
Choices:
30%
50%
75%
80%
Answer: B
Question: A & B started one company. They invest Rs. 1,00,000/- each. They deposit the money to Bank. Bank give 1% interest per month. After 2 years B left from company and asked A to return the money with interest. A says it will take time to release the FD and he assure B to give the money withinterest @0.5%. B Agreed this. What is the profit of A?
Choices:
B)12000
C)36000
D)24000
E)30000
Answer: B
Question: How many seconds will a 620 metre long train take to cross a man running with a speed of 8 km/hr in the direction of the moving train if the speed of the train is 80 km/hr?
Choices:
30
31
45
60
Answer: B
Question: In how many ways, a committee of 5 members can be selected from 6 men and 5 ladies, consisting of 3men and 2 ladies?
Choices:
152
175
200
212
Answer: C
Question: By selling a house for Rs.35000, it was found that 1/6 of the outlay was gained, what ought the selling to price to have been in order to have lost 5 p.c?
Choices:
28500
38028
38019
38192
Answer: A