antoine-444/aqua_rat_dataset huggingface dataset:
Question: While working alone at their constant rates, computer X can process 240 files in 12 hours, and computer Y can process 240 files in 3 hours. If all files processed by these computers are the same size, how many hours would it take the two computers, working at the same time at their respective constant rates, to process a total of 240 files?
Choices:
1.8
2
2.2
2.4
Answer: D
Question: On one side of a coin there is the number 0 and on the other side the number 1. What is the probability that the sum of three coin tosses will be 2 if a 1 was the value of the first coin flip ?
Choices:
1/4.
1/5.
3/8.
1/3.
Answer: A
Question: A number when divided by 3 leaves a remainder 1. When the quotient is divided by 2, it leaves a remainder 1. What will be the remainder when the number is divided by 6?
Choices:
3
4
5
6
Answer: B
Question: How much interest will $10,000 earn in 9 months at an annual rate of 3%?
Choices:
$350
$450
$550
$225
Answer: D
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:
Rs.4062.40
Rs.4042.40
Rs.4082.40
Rs.4082.80
Answer: C
Question: The length of a rectangular floor is more thanits breadth by 200%. If Rs.324 is requiredto paint the floor at the rate of Rs.3/sq m, what would be the length of the floor?
Choices:
18
19
22
26
Answer: A
Question: There are 21 balls in a box: 8 balls are green, 8 are blue and 5 are white. Then 1 green and 1 blue balls are taken from the box and put away. What is the probability that a blue ball is selected at random from the box?
Choices:
4/13
3/13
5/19
6/13
Answer: C
Question: A batch of cookies was divided amomg 3 tins: 3/4 of all the cookies were placed in either the blue or the green tin, and the rest were placed in the red tin. If 1/4 of all the cookies were placed in the blue tin, what fraction of the cookies that were placed in the other tins were placed in the green tin
Choices:
9/4
5/9
3/5
9/7
Answer: C
Question: When Greenville State University decided to move its fine arts collection to a new library, it had to package the collection in 20-inch by 20-inch by 15-inch boxes. If the university pays $0.90 for every box, and if the university needs 3.06 million cubic inches to package the collection, what is the minimum amount the university must spend on boxes?
Choices:
$275
$459
$1,250
$2,550
Answer: B
Question: The sequence x1, x2, x3,..., is such that Xn = 1/n - (1/(n+1)). What is the sum of the first 5 terms of the sequence?
Choices:
99/100
100/101
1/10000
5/6
Answer: D
Question: 162 students represent x percent of the boys at a school. If the boys at the school make up 50% of the total school population of x students, what is x?
Choices:
150
180
250
440
Answer: B
Question: A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Working together, they will complete the same work in:
Choices:
43/7
24/7
19/7
None
Answer: B
Question: At what time between 4 and 5 o’clock will the hands of a watch point in opposite directions?
Choices:
54 6/11 min. past 4
45 min past 4
40 min past 4
None
Answer: A
Question: Difference between the length &breadth of a rectangle is 25 m. If its perimeter is 206 m, then its area is?
Choices:
2500 m^2
2520 m^2
2560 m^2
3000 m^2
Answer: D
Question: Each person who attended a company meeting was either a stockholder in the company, an employee of the company, or both. If 55 percent of those who attended the meeting were stockholders and 61 percent were employees, what percent were stockholders who were not employees?
Choices:
38
39
40
41
Answer: B
Question: In what time will a train 200 m long cross an electric pole, it its speed be 144 km/hr?
Choices:
2.8 sec
5 sec
2.2 sec
4.5 sec
Answer: B
Question: Machine P and Machine Q are each used to manufacture 550 sprockets. It takes Machine P 10 hours longer to produce 550 sprockets than Machine Q. Machine Q produces 10% more sprockets per hour than Machine A. How many sprockets per hour does Machine A produce?
Choices:
5
55
95
125
Answer: A
Question: A car drives 40 miles on local roads at 20 mph, and 180 miles on the highway at 60 mph, what is the average speed of the entire trip?
Choices:
40 mph
44 mph
52 mph
58 mph
Answer: B
Question: Tim and Jim enter into a partnership by investing $700 and $300 respectively. At the end of one year, they divided their profits such that a third of the profit is divided equally for the efforts they have put into the business and the remaining amount of profit is divided in the ratio of the investments they made in the business. If Tim received $800 more than Jim did, what was the profit made by their business in that year?
Choices:
3000
4654
353464
3465463
Answer: A
Question: A certain characteristic in a large population has a distribution that is symmetric about the mean m. If 68% of the distribution lies one standard deviation g of the mean, what percent of the distribution is less than m+g?
Choices:
32%
48%
84%
92%
Answer: C
Question: What is 92% of 4/5?
Choices:
69.0
0.736
0.6859
0.69
Answer: B
Question: If the arithmetic mean of p and q is 10 and the arithmetic mean of q and r is 20, what is the value of r-p?
Choices:
20
30
40
5
Answer: A
Question: A coin is tossed live times. What is the probability that there is at the least one tail?
Choices:
31/32
31/30
31/36
31/312
Answer: A
Question: A department of ten people - five men and five women - needs to send a team of five to a conference. If they want to make sure that there are no more than three members of the team from any one gender, how many distinct groups are possible to send?
Choices:
126
200
252
288
Answer: B
Question: The different of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and 15 as remainder.What is the smaller number ?
Choices:
320
290
240
270
Answer: D
Question: An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is
Choices:
2.02%
4%
4.04%
None of above
Answer: C
Question: A man decides to buy a nice horse. He pays $60 for it, and he is very content with the strong animal. After a year, the value of the horse has increased to $70 and he decides to sell the horse. However, already a few days later he regrets his decision to sell the beautiful horse, and he buys it again. Unfortunately, he has to pay $80 to get it back, so he loses $10. After another year of owning the horse, he finally decides to sell the horse for $90.
What is the overall profit the man makes?
Choices:
$70
$20
$89
$68
Answer: B
Question: A company that ships boxes to a total of 12 distribution centers uses color coding to identify each center. If either a single color or a pair of two different colors is chosen to represent each center and if each center is uniquely represented by that choice of one or two colors, what is the minimum number of colors needed for the coding? (assume that the order of the colors in a pair does not matter)
Choices:
5
6
12
24
Answer: A
Question: A student's mark was wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by
1/2. What is the number of students in the class?
Choices:
40
35
30
50
Answer: A
Question: A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Choices:
350 m
277 m
278 m
267 m
Answer: A
Question: Anne traveled from City A to City B in 4 hours, and her speed was between 29 miles per hour and 61 miles per hour. John traveled from City A to City B along the same route in 2 hours, and his speed was between 50 miles per hour and 61 miles per hour. Which of the following could be the distance, in miles, from City A to City B?
Choices:
115
125
120
300
Answer: C
Question: Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Seven years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?
Choices:
A)84
C)67
D)56
E)45
Answer: A
Question: John walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 8 minutes earlier. How far is the office from his house?
Choices:
3 1/5 Km
3 1/7 Km
4 1/5 Km
4 2/5 Km
Answer: A
Question: John purchased 8kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper?
Choices:
1050
1055
1060
1065
Answer: B
Question: Ram professes to sell his goods at the cost price but he made use of 800 grms instead of a kg, what is the gain percent?
Choices:
25%
11 9/9%
11 5/9%
11 1/5%
Answer: A
Question: The speed of a train including stoppages is 90 kmph and excluding stoppages is 120 kmph. Of how many minutes does the train stop per hour?
Choices:
10
12
14
15
Answer: D
Question: Find the cost of fencing around a circular field of diameter 30 m at the rate of Rs.2 a meter?
Choices:
188.5
190.5
168.5
175.5
Answer: A
Question: Jayant opened a shop investing Rs. 30,000. Madhu joined him 2 months later, investing Rs. 45,000. They earned a profit of Rs. 58,000 after completion of one year. What will be Madhu's share of profit?
Choices:
Rs. 24,000
Rs. 30,000
Rs. 29,000
None of these
Answer: C
Question: A can contains a mixture of liquids A and B is the ratio 7:5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many liter of liquid A was contained by the can initially?
Choices:
20
21
25
27
Answer: B
Question: S is the infinite sequence S1 = 2, S2 = 22, S3 = 222,...Sk = Sk–1 + 2(10k–1). If p is the sum of the first 30 terms of S, what is the ninth digit of p, counting right to left from the units digit?
Choices:
2
4
6
9
Answer: D
Question: Using all the letters of the word "THURSDAY", how many different words can be formed?
Choices:
8!
8
7!
3
Answer: A
Question: What is the median of a set of consecutive integers if the sum of nth number from the beginning and nth number from the end is 200?
Choices:
25
50
75
100
Answer: D
Question: What is the probability of getting a number less than 4 when a die is rolled?
Choices:
1/6
2/5
4/7
1/2
Answer: D
Question: John and Steve are speed walkers in a race. John is 12 meters behind Steve when he begins his final push. John blazes to the finish at a pace of 4.2 m/s, while Steve maintains a blistering 3.7 m/s speed. If John finishes the race 2 meters ahead of Steve, how long was John’s final push?
Choices:
17 seconds
26 seconds
34 seconds
28 seconds
Answer: D
Question: 38 69 22 73 31 47 13 52
Which of the following numbers is greater than three fourths of the numbers but less than one fourth of the numbers in the list above?
Choices:
68
67
69
73
Answer: B
Question: Judges will select 4 finalists from the 8 contestants entered in a singing competition. The judges will then rank the contestants and award prizes to the 3 highest ranked contestants: a blue ribbon for first place, a red ribbon for second place, and a yellow ribbon for third place. How many different arrangements of prize-winners are possible?
Choices:
21
280
420
1,260
Answer: B
Question: Jack has two dice, one has six equally probable sides, labeled 1, 2, 3, 4, 5, 6, and the other has seven equally probable sides, labeled 1, 2, 3, 4, 5, 6, 7. If Jack rolls both dice what is the probability that both of the numbers will be 3?
Choices:
2/7
1/3
1/42
12/21
Answer: C
Question: 5 men are equal to as many women as are equal to 8 boys. All of them earn Rs.120 only. Menâ€™s wages are?
Choices:
7Rs
8Rs
4Rs
1Rs
Answer: B
Question: Three 6 faced dice are thrown together. The probability that all the three show the same number on them is ?
Choices:
1/36
1/38
1/11
1/33
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.1,20,008
Rs.1,22,000
Rs.1,20,085
Answer: A
Question: Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
Choices:
10
12
20
8
Answer: A
Question: If x is an odd negative integer and y is an even integer, which of the following statements must be true? I. (3x + 2y) is positive integer II. (xy)^2 is positive integer III. (y^2 - x) is negative integer
Choices:
II only
III only
I,II only
II,III only
Answer: A
Question: 9 basketball players are trying out to be on a newly formed basketball team. Of these players, 5 will be chosen for the team. If 6 of the players are guards and 3 of the players are forwards, how many different teams of 3 guards and 2 forwards can be chosen?
Choices:
30
42
60
126
Answer: C
Question: If a certain coin is flipped, the probability that the coin will land heads is 1/2. If the coin is flipped 5 times, what is the probability that it will land heads up on the first 2 flips but not on the last 3 flips?
Choices:
1/4
1/8
1/16
1/32
Answer: D
Question: Six children — A, B, C, D, E, and F — are going to sit in six chairs in a row. Child E must be somewhere to the left of child F. How many possible configurations are there for the children?
Choices:
180
240
360
720
Answer: C
Question: If the first day of a year (other than leap year) was Tuesday, then which was the last day of that year?
Choices:
Friday
Tuesday
Monday
None of these
Answer: B
Question: If f(x)= 5x^2- 2x+6 and g(y)= 3y-6, then g(f(x))
Choices:
15x^2-6x+12
58x^2-4x+58
87x^2-5x+96
98x^2-7x+94
Answer: A
Question: Bullock likes to keep a spare tyre in his car every time. On a certain day, he travels 1, 00,000 km and just to make the most of all the tyres, he changes the tyres between his journey such that each tyre runs the same distance.
What is the distance traveled by each tyre?
Choices:
80000
90000
67800
50000
Answer: A
Question: If x/y = 0.3, then (2x - y)/(2x + y) = ?
Choices:
0.25
0.4
0.45
0.34
Answer: A
Question: Suppose you want to buy three loaves of bread that cost $1.50 each
and a jar of peanut butter that costs $4. A jar of jelly is $2.75, but you
don’t need any jelly. You have $10. How much money will you have left
over?
Choices:
$1.50
$3.50
$4.50
$5.50
Answer: A
Question: The side of a rhombus is 28 m and length of one of its diagonals is 12 m. The area of the rhombus is?
Choices:
324.2
328.2
338.2
328.9
Answer: B
Question: From the set of numbers x, y, t, z and w, how many different combinations can we have without the t in them? Ex:. (x,y), (x), (w,z,y,x), etc and (x,y)=(y,x)
Choices:
14
15
16
30
Answer: B
Question: A number is four less than six times the other number. If the sum of both the number is 38, what are the numbers?
Choices:
6,32
5,33
4,34
None of the above
Answer: A
Question: How many digits are in (8×10^8)(10×10^10)?
Choices:
20
26
27
28
Answer: A
Question: In a 200 meters race A beats B by 35 m or 7 seconds.A’s time over the course is :
Choices:
47 sec
33 sec
35 sec
None of these
Answer: B
Question: John makes $40 a week from his job. He earns a raise and now makes $80 a week. What is the % increase?
Choices:
16.66%
17.9%
18.12%
100%
Answer: D
Question: In a theatre all rows have same no. Of . One family buys 10 tickets of first two row. 3 members want to sit in first row and 2 in second row. In how many ways they can be seated.
Choices:
5400
5600
5700
5800
Answer: A
Question: If x = y^2, and x and y are positive integers, which of the following could be the value of x?
Choices:
24,336
42,007
49,003
64,643
Answer: A
Question: The standard deviation of a normal distribution of data is 2, and 3 standard deviations below the mean is greater than 44. What is a possible value for the mean of the distribution?
Choices:
47
48
49
51
Answer: D
Question: The cost per unit of electricity during a 4 year period is as follows:
Year 1, $0.5 per unit;
Year 2, $1.0 per unit;
Year 3, $1.5 per unit;
Year 4, $2 per unit.
If a factory spent equal dollars on electricity each year, what was the average cost of a unit of electricity during the 4 year period?
Choices:
$0.96
$1.56
$1.46
$1.36
Answer: A
Question: Divide $600 among A,B in the ratio 1:3. How many $ that A get?
Choices:
$500
$150
$250
$600
Answer: B
Question: A father was as old as his son's present at the time of your birth. If the father's age is 38 years now, the son's age two years back was?
Choices:
17 years
14 years
16 years
18 years
Answer: A
Question: What will come in place of the x in the following Number series? 18, 22, 30, x ,78, 142
Choices:
25
46
49
50
Answer: B
Question: A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?
Choices:
200
130
100
250
Answer: C
Question: What is the tens digit of 36^10?
Choices:
3
5
7
9
Answer: C
Question: The slant height of a right circular cone is 10 m and its height is 8 m. Find the area of its curved surface.
Choices:
40 pi m^2
60 pi m^2
80 pi m^2
100 pi m^2
Answer: B
Question: a and b are two numbers selected randomly from 1,2,3.... 25 what is the probability of a and b are not equal.
Choices:
24/25
24/209
22/43
24/19
Answer: A
Question: A batsman scored 160 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets.
Choices:
66%
60%
68%
70%
Answer: C
Question: A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is
Choices:
1200
1234
5874
4561
Answer: A
Question: A man buys Rs. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is:
Choices:
15
66
88
19
Answer: A
Question: The average of 10 numbers is calculated as 15. It is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. The correct average is?
Choices:
87
16
88
99
Answer: B
Question: 12 persons can complete the work in 18 days. After working for 6 days, 4 more persons added to complete the work fast.In how many days they will complete the work?
Choices:
15
17
5
9
Answer: D
Question: A shopkeeper sells one transistor for Rs. 840 at a gain of 20% and another for Rs. 960 at a loss of 4%. His total gain or loss percent is:
Choices:
5 15/12 %
5 15/8 %
6 12/17 %
5 15/17 %
Answer: D
Question: Shawn invested one half of his savings in a bond that paid simple interest for 2 years and received $550 as interest. He invested the remaining in a bond that paid compound interest, interest being compounded annually, for the same 2 years at the same rate of interest and received $605 as interest. What was the value of his total savings before investing in these two bonds?
Choices:
$2,750
$11,000
$22,000
$44,000
Answer: A
Question: Find the compound interest accrued on an amount of Rs.14,800 at 13.5% p.a at the end of two years. (Round off your answer to nearest integer)
Choices:
4228
4287
4266
4227
Answer: C
Question: A local bank that has 23 branches uses a two-digit code to represent each of its branches. The same integer can be used for both digits of a code, and a pair of two-digit numbers that are the reverse of each other (such as 17 and 71) are considered as two separate codes. What is the fewest number of different integers required for the 23 codes?
Choices:
4
6
5
7
Answer: C
Question: Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 35000. What was Simran's share in the profit?
Choices:
Rs. 10,250
Rs. 12,500
Rs. 15,000
None of these
Answer: C
Question: What is the least number of squares tiles required to pave the floor of a room 2 m 25 cm long and 1 m 35 cm broad?
Choices:
15
40
44
48
Answer: A
Question: The annual interest rate earned by an investment increased by 6 percent from last year to this year. If the annual interest rate earned by the investment this year was 15.90 percent, what was the annual interest rate last year?
Choices:
18%
16%
25%
15%
Answer: D
Question: X can finish a work in 20 days. Y can finish the same work in 15 days. Yworked for 9 days and left the job. how many days does X alone need to finish the remaining work?
Choices:
5
6
8
9
Answer: C
Question: Walking with 4/5 of my usual speed, I arrive at the bus stop 7 minutes later than normal. How many minutes does it take to walk to the bus stop at my usual speed?
Choices:
16
20
24
28
Answer: D
Question: Sushil got thrice as many marks in English as in Science. His total marks in English, Science and Maths are 170. If the ratio of his marks in English and Maths is 1:4, find his marks in Science?
Choices:
17
66
55
31
Answer: A
Question: Two trains are moving in the same direction at 90 kmph and 36 kmph. The faster train crosses a man in the slower train in 29 seconds. Find the length of the faster train?
Choices:
435
445
455
465
Answer: A
Question: A train running at the speed of 60 km/hr crosses a pole in 3 seconds. Find the length of the train.
Choices:
50 m
75 m
135 m
60 m
Answer: A
Question: There is 60% increase in an amount in 6 years at S.I. What will be the C.I. of Rs. 12,000 after 3 years at the same rate?
Choices:
2887
3972
26990
27012
Answer: B
Question: A man can row downstream at 16 kmph and upstream at 12 kmph. Find the speed of the man in still water .
Choices:
14
12
16
15
Answer: A
Question: The price of a TV was increased by 30 percent. The new price was then increased by 20 percent. A single increase of what percent is equivalent to these two successive increases?
Choices:
60%
65%
56%
45%
Answer: C
Question: If a = (1/2)b and c = 3a, then which of the following represents the average (arithmetic mean) of a, b, and c, in terms of a ?
Choices:
2a
4a
5a
a/2
Answer: A
Question: A batsman makes a score of 87 runs in the 17th inning and thus increases his average by 3. Find his average after 17th inning.
Choices:
39
42
45
None of the above
Answer: A
Question: If x = y^2, and x and y are positive integers, which of the following numbers could be the value of x?
Choices:
13,872
14,323
15,568
16,641
Answer: D
Question: Two persons C & D started traveling from A and B which are 300 km apart, towards B and A
respectively at 1.00 p.m. C travels at a constant speed of 30 kmph whereas D doubles his speed every
hour. If D reaches A in 4 5/8 hours, at what time did C and D meet each other ?
Choices:
4:40 p.m
5:00 p.m
5:10 p.m.
6:10 p.m.
Answer: B
Question: The ration of the number of boys and girls in a college is 7:8. If the percentage is increase in the number of boys and girls be 20% and 10% respectively. What will be the new ration?
Choices:
15:21
21:22
13:17
23:42
Answer: B
Question: In a contest, a bowl contains 14 keys, only one of which will open a treasure chest. If a contestant selects the key that opens the treasure chest, she wins the contents of that chest. If Anna is allowed to draw two keys, simultaneously and at random, from the bowl as the first contestant, what is the probability that she wins the prize?
Choices:
1/7
13/140
2/21
7/182
Answer: A
Question: 12,?,68,129,220,347,516
Choices:
220
347
31
520
Answer: C
Question: If 11 boys meet at a reunion and each boy shakes hands exactly once with each of the others, then what is the total number of handshakes
Choices:
55
43
44
45
Answer: A
Question: A sum of money at simple interest amounts to Rs. 825 in 3 years and to Rs. 854 in 4 years. The sum is:
Choices:
738
654
847
976
Answer: A
Question: A and B start a business with Rs.6000 and Rs.8000 respectively. Hoe should they share their profits at the end of one year?
Choices:
3:4
3:7
3:9
3:2
Answer: A
Question: 150 men consume 1050 kg of rice in 30 days. In how many days will 70 men consume 980 kg of rice?
Choices:
60days
67days
70days
66days
Answer: A
Question: A box contains 3 red balls and 3 black balls. One by one, every ball is selected at random without replacement. What is the probability that the fourth ball selected is black?
Choices:
1/2
1/2
2
2/3
Answer: C
Question: A, B and C rents a pasture for Rs.730. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay?
Choices:
199
676
156
227
Answer: D
Question: Two dogsled teams raced across a 300 mile course in Wyoming. Team A finished the course in 3 fewer hours than team T. If team A's average speed was 5 mph greater than team T's, what was team T's average mph?
Choices:
15
18
20
25
Answer: C
Question: The ages of two persons differ by 16 years. 6 years ago, the elder one was 3 times as old as the younger
one. What are their present ages of the elder person
Choices:
20
25
30
35
Answer: C
Question: What is the greatest positive integer n such that 3^n is a factor of 36^50?
Choices:
100
300
600
900
Answer: A
Question: At a monthly meeting, 3/5 of the attendees were males and 4/5 of the male attendees arrived on time. If 5/6 of the female attendees arrived on time, what fraction of the attendees at the monthly meeting did not arrive on time?
Choices:
11/50
14/75
23/100
31/150
Answer: B
Question: If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is?
Choices:
1/2
1/6
1/1
1/5
Answer: A
Question: A train 500 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
Choices:
279 m
500 m
289 m
800 m
Answer: D
Question: Which of the following integers is a divisor of(15!+14)?
Choices:
14
13
7
2
Answer: A
Question: The faces of storage box are to be painted by 6 different colors. In how many ways can be this be done?
Choices:
A.720
C.1
D.12
E.36
Answer: A
Question: Tom can hit a target 3times in 6shots, Karan can hit the target 2times in 6 shots & Ashwini can hit 4 times in 4 shots. What is the probability that at least 2 shots hit the target ?
Choices:
3/7
2/3
2/5
3/11
Answer: B
Question: If h and g are distinct prime numbers less than 10, which of the following cannot be the product of h and g?
Choices:
9
10
14
15
Answer: A
Question: Express of the following as a fraction:
36%
Choices:
13/25
9/25
17/25
None of them
Answer: B
Question: Milk is poured from a full rectangular container with dimensions 4 inches by 9 inches by 10 inches into a cylindrical container with a diameter of 6 inches. If the milk does not overflow, how many inches high will the milk reach?
Choices:
24
40/π
10
3π
Answer: B
Question: A can do a piece of work in 10 days. He works at it for 4 days and then B finishes it in 9 days. In how many days can A and B together finish the work?
Choices:
6 days
8 ½ days
7 ½ days
9 days
Answer: A
Question: The difference between compound and simple interest on a certain sum of money for 3 years at 6 2/3% p.a is Rs.184. Find the sum?
Choices:
19799
29918
13500
78181
Answer: C
Question: A recipe for a large batch of fruit juice at a factory calls for 25% oranges, 25% lemons, and 50% limes. if 200 lemons are used, how many limes are needed?
Choices:
125
400
600
800
Answer: B
Question: What are the two main types of access control lists (ACLs)?
Choices:
1 and 3
2 and 1
1 and 5
1 and 9
Answer: A
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is?
Choices:
3/2
2/1
2/7
2/6
Answer: A
Question: How much water must be added to 10 gallons of 10% brine solution to decrease the concentration to 5%?
Choices:
1.5—3 gal
3—4.5 gal
4.5—6 gal
6+ gal
Answer: D
Question: Some quantity of coffee is sold at Rs. 22 per kg, making 10% profit. If total gain is Rs. 88, what is the quantity of coffee sold?
Choices:
36 kg
38 kg
40 kg
44 kg
Answer: D
Question: The value of a stock is X dollars. On Sunday the stock's value grew by half of its value, but on Monday its value dropped to a second of its new value. What is the stock's value at the end of Monday?
Choices:
X/2.
2X/3.
X/3.
3X/4.
Answer: D
Question: A cistern is normally filled in 12 hours but takes two hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in?
Choices:
84
40
99
11
Answer: A
Question: The volume of a certain substance is always directly proportional to its weight. If 48 cubic inches of the substance weigh 114 ounces, what is the volume, in cubic inches, of 63 ounces of this substance?
Choices:
26
42
64
147
Answer: A
Question: Rs. 9800 are invested partly in 9% stock at 75 and 10% stock at 80 to have equal amount of incomes. The investment in 9% stock is how much price?
Choices:
2800
3000
5000
4500
Answer: C
Question: The roof of an apartment building is rectangular and its length is 4 times longer than its width. If the area of the roof is 784 feet squared, what is the difference between the length and the width of the roof?
Choices:
40.
42.
44.
46.
Answer: B
Question: In a test, 52% students failed in Hindi, 40% failed in English and 27% failed in both. What percentage of students passed in both the subjects?
Choices:
48%
35%
None of these
Cannot be determined
Answer: B
Question: If n is a positive integer, write s(n) for the sum of the digits of n. What is
s(1) + s(2) + s(3) +...+ s(1000)?
Choices:
10000
13501
14999
15000
Answer: B
Question: A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?
Choices:
278
277
100
216
Answer: C
Question: Vijay bought 160 shirts at the rate of Rs. 225 per shirt. The transport expenditure was Rs. 1400. He paid an octroi at the rate of Rs. 1.75 per shirt and labour charges were Rs. 320. What should be the selling price of one shirt, if he wants a profit of 20%?
Choices:
229
277
285
2812
Answer: C
Question: If 1< x < 2, which of the following must be true?
I. x^3 < x^2
II. x^2 < 2 + x
III. x^2 < x^4
Choices:
I and II only
III only
I and III only
I, II and III
Answer: B
Question: John traveled 80% of the way from Yellow-town to Green-fields by train at an average speed of 80 miles per hour. The rest of the way John traveled by car at an average speed of v miles per hour. If the average speed for the entire trip was 65 miles per hour, what is v in miles per hour?
Choices:
40
50
55
70
Answer: C
Question: The product of all the prime numbers less than 10 is closest to which of the following powers of 10 ?
Choices:
10^8
10^7
5*10^6
10^5
Answer: C
Question: Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. In how much time will the trains cross each other?
Choices:
80/7 sec
80/9 sec
80/5 sec
20/7 sec
Answer: A
Question: After a storm deposits 110 billion gallons of water into the city reservoir, the reservoir is 60% full. If the original contents of the reservoir totaled 220 billion gallons, the reservoir was approximately what percentage full before the storm?
Choices:
40%
54%
58%
65%
Answer: A
Question: if the ratio of two number is 5:7 and LCM of the number is 320 then what is the number.
Choices:
9
10
11
35
Answer: A
Question: Krishan and Nandan jointly started a business. Krishan invested three times as Nandan did and invested his money for fourtime as compared to Nandan. Nandan earned Rs. 4000. If the gain is proportional to the money invested and the time for which the money is invested and the total gain was
Choices:
Rs.62000
Rs.42000
Rs.52000
Rs.22000
Answer: C
Question: Randy'sbar serves customers every weeknight from 5 pm to 1 am. In Randy's bar,Silvermoonbeer is sold at a constant rate except during happy hour, from 8:30 to 7:30 pm, when the rate triples.
If a keg of Silvermoon beer is half empty at 5pm on Monday, and two-thirds empty at the beginning of the happy hour, when will it be completely empty?
Choices:
Monday, 9 pm
Monday, 7 pm
Monday, 6:45 pm
Monday, 9:30 pm
Answer: C
Question: In a hostel there were 100 students. To accommodate 25 more students the average is decreased by rupees 5. But total expenditure increased by Rs.400. Find the total expenditure of the hostel now?
Choices:
B)Rs.5480
C)Rs.5400
D)Rs.4500
E)Rs.5430
Answer: C
Question: What is the smallest five digit number that is divisible by 16, 36, 45, and 54?
Choices:
10400
10600
10800
11200
Answer: C
Question: 3 pumps,working 8 hours a day,can empty a tank in 2 days.How many hours a day must 4 pumps work to empty the tank in 1 day ?
Choices:
10
11
12
13
Answer: C
Question: A train 110 m long is running with a speed of 30 km/h. In how many seconds will the train pass a man who is running at 3 km/h in the direction opposite to that in which the train is going?
Choices:
8
10
12
14
Answer: C
Question: Tough and Tricky questions: Word Problems.
AM Car Company wants to manufacture a new car known as Model X, and it is trying to determine how many cars it needs to sell in order to make an annual profit of $30,500,000. The annual fixed costs for Model X total $50,200,000. In addition, each Model X car has an average cost of $5,000 per vehicle to manufacture. If the Company forecasts it will sell 20,000 Model X cars this year, at what price must the Company sell the car to achieve the desired annual profit?
Choices:
$4,036
$9,035
$16,140
$36,140
Answer: B
Question: A box contains 4 red chips and 2 blue chips. If two chips are selected at random without replacement, what is the probability that the chips are different colors?
Choices:
8/15
7/12
2/3
7/10
Answer: A
Question: When positive integer x is divided by positive integer y, the remainder is 5. If x/y = 96.2, what is the value of y?
Choices:
75
48
25
12
Answer: C
Question: If 7 and 9 are factors of 60n, what is the minimum value of n?
Choices:
3
7
14
21
Answer: D
Question: If x⁄2 + 9⁄4 = 5⁄4, what is the value of x?
Choices:
–2
0
1
2
Answer: A
Question: How many alphabets need to be there in a language if one were to make 1 million distinct 3 digit initials using the alphabets of the language?
Choices:
50
1000
100
90
Answer: C
Question: A train starts full of passengers at the first station it drops 1/3 of the passengers and takes 280more at the second station it drops one half the new total and takes twelve more .on arriving at the third station it is found to have 248 passengers. Find the no of passengers in the beginning?
Choices:
288
188
258
None of them
Answer: A
Question: Ten years ago, P was half of Q in age. If the ratio of their present ages is 3:4, what will be the total of their present ages
Choices:
5
7
8
9
Answer: A
Question: A school has 120, 192 and 144 students enrolled for its science, arts and commerce courses. All students have to be seated in rooms for an exam such that each room has students of only the same course and also all rooms have equal number of students. What is the least number of rooms needed?
Choices:
19
00
27
271
Answer: A
Question: Carlos is 8 years old. In 12 years, how old will he be?
Choices:
18
19
20
21
Answer: C
Question: The positive integers s and t leave remainders of 2 and 3, respectively, when divided by 6. s > t. What is the remainder when s– t is divided by 6?
Choices:
1
4
2
5
Answer: D
Question: 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.28400
Rs.29400
Rs.16400
Answer: A
Question: The sum of two numbers is 18. Their difference is 4. What are the numbers?
Choices:
9,9
11,7
15,3
13,9
Answer: B
Question: If 6 (A's capital) = 8 (B's capital) = 10 (C's capital). Then the ratio of their capitals is?
Choices:
20:15:11
20:15:12
20:15:19
20:15:16
Answer: B
Question: Bart has $150,512 dollars in his bank account. He wants to split this money evenly among his nine daughters. What is the least amount of money (in whole number of dollars) that he must remove from his account?
Choices:
3
4
5
6
Answer: C
Question: How many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Choices:
277
500
888
212
Answer: B
Question: In a rectangular coordinate system, what is the area of a rhombus whose vertices have the coordinates (0, 3.5), (7, 0), (0, -3.5), (-7, 0)?
Choices:
88
112
49
120
Answer: C
Question: A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Choices:
4 kmph.
5 kmph.
8 kmph.
7 kmph.
Answer: C
Question: Pipe P can fill a tank in 3 hours, pipe Q in 9 hours and pipe R in 18 hours. If all the pipes are open, in how many hours will the tank be filled?
Choices:
2 hours
3 hours
3.5 hours
4.5 hours
Answer: A
Question: 120 is what percent of 80?
Choices:
2%
5%
150%
500%
Answer: C
Question: Someone on a skateboard is traveling 8 miles per hour. How many feet does she travel in 5 seconds? (1 mile = 5280 feet)
Choices:
52 ft
53 ft
55 ft
58.65 ft
Answer: D
Question: 1393 x 1393 = ?
Choices:
B)1951601
C)1940449
D)1951603
E)1951604
Answer: B
Question: A company selected 250 zip codes in Northeastern, Florida, Arizona and California in order to mail a product catalog. The number of Northeastern zip codes was twice Florida's, and four times Arizona's, and 4/3 California's. 375,000 catalogues were mailed to California and 25% resulted in product orders. What is the ratio of the number of orders to the number of California's zip codes?
Choices:
b) 750
c) 1,000
d) 1,250
e) 1,500
Answer: C
Question: In a certain company, a third of the workers do not have a retirement plan. 40% of the workers who do not have a retirement plan are women, and 40% of the workers who do have a retirement plan are men. If 120 of the workers of that company are men, how many of the workers are women?
Choices:
95
105
137
210
Answer: C
Question: The average speed of a car decreased by 3 miles per hour every successive 8-minutes interval. If the car traveled 4.4 miles in the fifth 8-minute interval, what was the average speed of the car, in miles per hour, in the first 8 minute interval?
Choices:
45
51
54
57
Answer: A
Question: The initial price of an article is Rs.4000 which increases 40% increse in its price in the first year,a 20% decrease in the second year and a 20% increase in the next year. What is the final price of the article ?
Choices:
Rs.5928
Rs.3928
Rs.R4928
Rs.6928
Answer: C
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:
1:5
2:6
3:4
3:2
Answer: D
Question: Four of the five parts numbered (a), (b), (c), (d) and (e) in the following equation are exactly equal. Which part is not equal to the other four ? The number of that part is the answer.
Choices:
(x + 2y)2 + 2x(x + 2y)
(3x + 2y)2 – 2x(3x + 2y)
3x(x + 2y) + 2y(x + 2y)
x(3x + 2y) – 2y(3x – 2y)
Answer: D
Question: If x and y are integers and 4^(x-4) = 4^(y+4), what is y in terms of x?
Choices:
x - 8
x - 2
x + 2
x + 6
Answer: A
Question: A girl has 12 jeans and 12 shirts. In how many different ways can she select a jeans and a shirts?
Choices:
B)102
C)108
D)144
E)112
Answer: C
Question: The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and breadth is increased by 4 cm, the area of the rectangle is increased by 75 sq. cm. Find the length of the rectangle.
Choices:
25cm
26cm
100/3cm
23cm
Answer: C
Question: The number 243 has been divided into three parts in such a way that one third of the first part, fourth of the second part and half of the third part are equal. Determine the largest part.
Choices:
108
74
92
96
Answer: A
Question: If a and b are positive integers and x = 9^a and y = 3^b, which of the following is a possible units digit of xy?
Choices:
4
5
7
8
Answer: C
Question: Working together, printer A and printer B would finish the task in 30 minutes. Printer A alone would finish the task in 50 minutes. How many pages does the task contain if printer B prints 3 pages a minute more than printer A ?
Choices:
400
600
800
900
Answer: A
Question: What is the value of: -9^7 + 9^9 ?
Choices:
-18^16
63(9^7)
-80(9^7)
80(9^7)
Answer: D
Question: Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 2 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?
Choices:
19.3
19.1
19.5
19.4
Answer: C
Question: Look at this series: 8, 43, 11, 41, __, 39, 17, ... What number should fill in the blank?
Choices:
14
43
44
9
Answer: A
Question: {1/(4+√15)}^2 =
Choices:
b. 31- 8√15
c. 31+ 8√15
d. 32- 4√15
e. 32 + 4√15
Answer: A
Question: Today John is twice as old as Sam and Sam is 4 years younger than Mike. If John, Sam, and Mike are all alive 5 years from today, which of the following must be true on that day. I. John is twice as old as Sam II. Sam is 4 years younger than Mike III. John is older than Mike
Choices:
I, II
II
III
I,II & III
Answer: D
Question: Which of these must the factor G of the product of four consecutive even integers:-
1) 48
2) 64
3) 96
4) 192
5) 80
Choices:
G=2,3 only
G=1,2,3 only
G=1,2,3,4 only
All of them
Answer: C
Question: If the simple interest on Rs. 2000 is less than the Simple Interest on Rs. 3000 at 5% by Rs. 50, find the time.
Choices:
1 year
1.5 year
2 year
0.5 year
Answer: A
Question: What least number must be added to 3000 to obtain a number exactly divisible by 19 ?
Choices:
2
3
4
5
Answer: A
Question: A trained covered x km at 40 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 2x km.
Choices:
16
24
19
12
Answer: A
Question: If a is a number such that –2 ≤ a ≤ 2, which of the following has the largest possible absolute value?
Choices:
3a – 1
3 – x
x – 3
x^2 – x
Answer: A
Question: A woman bought a pack of 36 eggs, but the seller told her that there were 3 rotten eggs in the pack. She forgot it and begun to prepare a recipe that needs 2 eggs. What is the probability that both choosen eggs will be rotten?
Choices:
1/210
3/210
1/119
2/119
Answer: A
Question: A person goes to his office at 1/3rd of the speed at which he returns from his office. If the avg speed during the whole trip is 30m/h. what is the speed of the person while he was going to his office?
Choices:
9km/h
10km/h
11km/h
20km/h
Answer: D
Question: Three numbers are in the ratio 3 : 4 : 5 and their average is 36. The largest number is :
Choices:
98
27
21
45
Answer: D
Question: Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
Choices:
3/4
3/8
5/16
7/16
Answer: A
Question: A bag contains 3red, 2blue and 4green balls. If 2 balls are picked at random, what is the probability that both are red?
Choices:
1/12
1/14
1/15
1/18
Answer: A
Question: A father is now three times as old as his son. Four years back, he was four times as old as his son. The age of the son (in years) is
Choices:
12
18
20
25
Answer: A
Question: The average age of a husband and a wife is 23 years when they were married THREE years ago but now the average age of the husband, wife and child is 20 years(the child was born during the interval). What is the present age of the child?
Choices:
5
8
4
2
Answer: B
Question: A cistern has three pipes, A, B and C. The pipes A and B can fill it in 5 and 6hours respectively and C can empty it in 2 hours. If the pipes are opened in order at 1, 2 and 3 A.M. When will the cistern be empty?
Choices:
8hrs 54min. (AM)
7hrs 45min. (AM)
7hrs 15 min. (AM)
7hrs 30min. (AM)
Answer: C
Question: If 3^x*4^y = 531,441 and x – y = 12, then x = ?
Choices:
11
12
13
14
Answer: B
Question: How many different sets of positive square integers S, each greater than 1, add up to 75?
Choices:
4
7
11
13
Answer: D
Question: The price of an item is discounted 10 percent on day 1 of a sale. On day 2, the item is discounted another 15 percent, and on day 3, it is discounted an additional 20 percent. The price of the item on day 3 is what percentage of the sale price on day 1?
Choices:
40%
68%
70%
72%
Answer: B
Question: How many times hour hand covers full circle in a day?
Choices:
2 times
4 times
5 times
once
Answer: A
Question: To save money, Branded company Cheese will reduce each dimension of its rectangular box container (which is entirely full of cheese) by 50%, and reduce the price it charges its consumers by 50% as well. By what percentage does this increase the price-per-cubic-inch that each consumer will pay for cheese?
Choices:
2. 50%
3. 100%
4. 200%
5. 300%
Answer: D
Question: A board of length L feet is cut into two pieces such that the length of piece A is 3 feet less than twice the length of piece B. Which of the following is the length, in feet, of piece A?
Choices:
(2L + 3)/3
(L + 1)/3
(2L + 2)/3
(2L - 3)/3
Answer: D
Question: A man’s current age is of the age of his father. After 8 years, he will be of the age of his father. What is the age of father at now ?
Choices:
40
33
30
35
Answer: A
Question: If John invested $ 1 at 5 percent interest compounded annually, the total value of the investment, in dollars, at the end of 3 years would be
Choices:
4(1.5)
(1.05)^3
1 + (0.05)^4
1 + 4(0.05)
Answer: B
Question: Four kids having five rocks each were playing a game in which they need to throw the rock at solid area in the water.
Kid1: Succeeded in throwing three rocks at solid area but one of the rock sunk.
Kid3: His aim was so bad that all rocks got sunk.
Kid4: He was awesome and none of the rocks got sunk.
Kid2 was the winner but was struck by a rock in the head and died.
Who killed Kid2 ?
Choices:
Kid1
Kid3
Kid4
None of above
Answer: A
Question: If a - b = 3 and a(power 2) + b(power 2) = 25, find the value of ab.
Choices:
8
4
10
3
Answer: A
Question: If an article is sold at 19% profit instead of 12% profit, then the profit would be Rs. 105 more. What is the cost price?
Choices:
2771
1500
2777
1711
Answer: B
Question: The total number of digits used in numbering the pages of a book having 366 pages is
Choices:
990
1098
1305
1405
Answer: A
Question: 6 noun, 3 verbs and 3 adjectives are written on blackboard.we can form sentence by choosing 1 from each available set without caring it makes sense or not.what is the number of ways of doing this??
Choices:
310
324
360
440
Answer: B
Question: A box contains 2 red chips and 2 blue chips. If two chips are selected at random without replacement, what is the probability that the chips are different colors?
Choices:
4/3
7/12
2/3
7/10
Answer: A
Question: What is the probability of getting only 1 head in a single throw of four fair coins?
Choices:
3/8
1/4
1/5
5/8
Answer: B
Question: Can you find the missing number in the series below?
1 5 9 2 6 10 3 ? 11 4 8 12
Choices:
6
3
8
7
Answer: D
Question: The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?
Choices:
280
240
270
230
Answer: C
Question: in a class of 25 students, 15 play hockey and 16 play basketball. if there are 4 students who play neither sport, determine the number of students who play both hockey and basketball?
Choices:
10
13
14
15
Answer: A
Question: A clock loses a minute every three hours for 4 days and gains 2% in the subsequent 6 days. If it was set right on Friday at 11 AM, what will be the time at the end of 10 days?
Choices:
01:56:24 PM
12:46:40 PM
11:54:24 AM
01:20:48 PM
Answer: D
Question: Which of the following is equal to the average (arithmetic mean) of (x+5)^2 and (x-5)^2?
Choices:
x^2+2
x^2 +30
x^2+20
x^2+25
Answer: D
Question: How many multiples of 9 are there between 1 and 50, exclusive?
Choices:
5
6
7
3
Answer: A
Question: A certain number of workers can do a work in 85 days. If there were 10 workers more it could be finished in 10 days less. How many workers are there?
Choices:
75
28
24
32
Answer: A
Question: If two of the four expressions x + y , x + 4y , x - y , and 4x - y are chosen at random, what is the probability that their product will be of the form of x^2-(by)^2, where b is an integer?
Choices:
1/6
1/7
1/5
1/4
Answer: A
Question: In a Question paper there are 4 multiple choice questions. Each question has 5 choices with only one choice as the correct answer. What is the total number of ways in which a candidate will not get all the four answers correct?
Choices:
85
120
624
1024
Answer: C
Question: A batsman makes a score of 87 runs in the 17th inning and thus increases his avg by 3. Find his average after 17th inning.
Choices:
26
41
32
39
Answer: D
Question: Rebecca's yearly income is $15,000 and Jimmy's annual income is $18,000. By how much must Rebecca's yearly income increase so that it constitutes 55% of Rebecca and Jimmy's combined income?
Choices:
7000
9000
10000
11000
Answer: A