antoine-444/aqua_rat_dataset huggingface dataset:
Question: If a certain number of people can dig earth 100m deep, 25m long, and 30m broad in 12 days, then find the number of days the same number of people will require to dig earth 75m deep, 20m long and 50m broad.
Choices:
16
12
99
13
Answer: B
Question: It takes ten minutes to fry a steak (five minutes for each side). You are frying the steaks in a pan that can accommodate only two steaks at one time. What is the least amount of time by which you can fry all the three steaks you have?
Choices:
15 Minutes.
19 Minutes.
15 Minutes.
12 Minutes.
Answer: A
Question: If a, b, c, d, and e are positive integers, which of the following could not become a terminating decimal?
Choices:
34/5^(2c)
35/100^e
36/4^w
37/3^(5v)
Answer: D
Question: a man have 4 goat,2 sheep and 3 buffalo.he have to take three cattle out one each.with two available door.in how many ways he can out three cattle?
Choices:
12
36
48
24
Answer: C
Question: A can finish a work in 18 days and B can do the same work in half the time taken by A. Then, working together, what part of the same work they can finish in a day?
Choices:
1/6
4/6
1/2
1/8
Answer: A
Question: Simplify (3^y + 3^y + 3^y + 3^y + 3^y) (5^y + 5^y + 5^y)
Choices:
15^y+1
16^y + 9^y
12^y
4^y * 12^y
Answer: A
Question: if x and y are different integers and x^2=xy, which of the following must be true?
Choices:
x=0
x=3
x=2
x=1
Answer: A
Question: A is the average (arithmetic mean) of the first 7 positive multiples of 7 and B is the median of the first 3 positive multiples of positive integer n. If the value of A^2 – B^2 is zero, what is the value of n?
Choices:
12
14
21
28
Answer: B
Question: Two trains 160 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Choices:
10.9
10.52
11.52
18.82
Answer: C
Question: Half of 7 percent written as decimal is
Choices:
0.5
0.035
0.025
None of these
Answer: B
Question: Suresh started a business, investing Rs.18000. After 3 months and 4 months respectively, Rohan and Sudhir joined him with capitals of 12000 and 9000. At the end of the year the total profit was Rs.4048. What is the difference between Rohan’s and Sudhir’s share in the profit?
Choices:
s.350
s.352
s.362
s.368
Answer: D
Question: Fathers age is 5 times his son's age. 4 years back the father was 9 times older than son.Find the fathers' present age.
Choices:
40
39
45
30
Answer: A
Question: If $x is invested at a constant annually compound interest rate of k percent, what is the ratio of the total amount including interest after 5n years to that after 4n years?
Choices:
(1+k/100)^n
(1+kn/100)
(1+n/100)^k
(1+kn)
Answer: A
Question: An employer has 9 applicants for a programming position and 4 applicants for a manager position. If the employer must hire 3 programmers and 2 managers, what is the total number of ways the employer can make the selection?
Choices:
b) 132
c) 504
d) 60
e) 23
Answer: B
Question: If 80% of a number is equal to four-third of another number, what is the ratio of first number to the second number?
Choices:
5:3
3:7
6:11
2:3
Answer: A
Question: Of the science books in a certain supply room, 50 are on botany, 65 are on zoology, 85 are on physics. 50 are on geology, and 110 are on chemistry. If science books are removed randomly from the supply room, how many must be removed to ensure that 80 of the books removed are on the same science?
Choices:
159
166
285
324
Answer: D
Question: At a certain company, each employee has a salary grade s that is at least 1 and at most 6. Each employee receives an hourly wage p, in dollars, determined by the formula p = 9.50 + 0.25(s – 1). An employee with a salary grade of 6 receives how many more dollars per hour than an employee with a salary grade of 1?
Choices:
$1.00
$1.25
$1.50
$1.75
Answer: B
Question: At a recent small town election for mayor a total of 971 votes were cast for the four candidates, the winner exceeding his opponents by 53, 79 and 105 votes, respectively. How many votes were cast for the candidate in fourth place?
Choices:
178
197
166
194
Answer: B
Question: -84*29+365=?
Choices:
2801
-2801
-2071
None of these
Answer: C
Question: What amount does Kiran get if he invests Rs.8000 at 10% p.a. compound interest for two years, compounding done annually?
Choices:
2669
2662
2992
9680
Answer: D
Question: Given that there are 4 basketball players per team, how many ways can you select 2 basketball players from 3 teams if no more than one player can be selected from each team?
Choices:
30
48
75
90
Answer: B
Question: 9 people decided to split the Travel expenditures evenly. If the bill was $546,874 dollars, how much amount in dollars should be added to the bill to make it split evenly across everyone?
Choices:
$546,874
$546,876
$546,878
$546,870
Answer: B
Question: The volume of a certain substance is always directly proportional to its weight. If 48 cubic inches of the substance weigh 112 ounces, what is the volume, in cubic inches, of 84 ounces of this substance?
Choices:
36
42
64
147
Answer: A
Question: A store reported total sales of $385 million for February of this year. If the total sales for the same month last year was $320 million, approximately what was the percent increase E in sales?
Choices:
17%
20%
65%
83%
Answer: B
Question: The remainder when dividing the expression (X + Y) by 5 is 4. The remainder of X divided by 10 is 2. What is the remainder A of Y divided by 5?
Choices:
A=2.
3.
4.
5.
Answer: A
Question: The mean of 50 observations was 36. It was found later that an observation 30 was wrongly taken as 23. The corrected new mean is :
Choices:
36.14
36.12
36.11
36.8
Answer: A
Question: Monika purchased a pressure cooker at 9/10th of its selling price and sold it at 8% more than its S.P .find her gain percent.
Choices:
20%
15%
36%
51%
Answer: A
Question: The average temperature for Monday, Tuesday, Wednesday and Thursday was 48 degrees and for Tuesday, Wednesday, Thursday and Friday was 46 degrees. If the temperature on Monday was 42 degrees. Find the temperature on Friday?
Choices:
26
34
25
26
Answer: B
Question: Jacob marks his goods up by 75% and then offers a discount on the marked price. The profit that he makes after offering the discount is 40%. What % discount did Jacob offer?
Choices:
20%
25%
35%
75%
Answer: A
Question: Tim and Élan are 150 miles away from one another. They are starting to move towards each other simultaneously, Tim at a speed of 10 Mph and Élan at a speed of 5 Mph. If every hour they double their speeds, what is the distance that Tim will pass until he meets Élan?
Choices:
35 miles.
45 miles.
90 miles.
100miles.
Answer: D
Question: If the integer n leaves a remainder of 4 when divided by 5, then what is the largest possible
remainder when 2n is divided by 15?
Choices:
11
12
13
14
Answer: C
Question: The sum of the first n positive perfect squares, where n is a positive integer, is given by the formula n^3/3 + c*n^2 + n/6, where c is a constant. What is the sum of the first 18 positive perfect squares?
Choices:
1,164
1,240
1,316
2,109
Answer: D
Question: If the operation € is defined for all x and y by the equation x € y = 3*x*y, then 3 € (4 € 5) =
Choices:
120
160
540
660
Answer: C
Question: The probability that a number selected at random from the first 50 natural numbers is a composite number is -.
Choices:
17/25
15/15
11/11
14/11
Answer: A
Question: Abby and Bobby type at constant rates of 80 words per minute and 60 words per minute, respectively. Bobby begins typing before Abby and has typed 400 words when Abby begins typing at 1:30 pm. If they continue typing at their respective rates, at what time will Abby have typed exactly 200 more words than Bobby?
Choices:
1:50 PM
2:00 PM
2:10 PM
2:20 PM
Answer: B
Question: What is the sum of all remainders obtained when the first 300 natural numbers are divided by 9?
Choices:
401
403
405
399
Answer: C
Question: Evaluate 28% of 350 + 45% of 280
Choices:
224
252
262
282
Answer: A
Question: {-10, -6, -5, -4, -2.5, -1, 0, 2.5, 4, 6, 7, 10}
A number is to be selected at random from the set above. What is the probability that the number will be a solution to the equation (x3)(x+14)(2X+5) = 0?
Choices:
1/12
1/4
1/3
1/2
Answer: A
Question: Sarah made $45 more than Kara yesterday. Today, they each made the same amount of money as yesterday and it totaled $834. How much would Kara make in 5 days if she continues to make the same amount of money every day.
Choices:
$879
$930
$2,085
None of the above
Answer: B
Question: What will be the fraction of 20%
Choices:
1/5
1/10
1/11
None of above
Answer: A
Question: Mary, Bernie, and Rose can complete a job, all working together, in 4 hours. Mary and Bernie, working together at their respective rates, can complete the same job in 5 hours. How long would it take Rose, working alone, to complete the entire job?
Choices:
10 hours
12 hours
20 hours
21 hours
Answer: C
Question: Can you deduce the pattern and find the next number in the series?
6, 14, 26, 98, __?
Choices:
276
278
279
None of these
Answer: A
Question: In an examination, 40% candidates failed in one subject and 30% failed in another subject while 10% failed in both the subjects. If 100 candidates appeared at the end of the examination how many passed in either subject but not in both?
Choices:
50
60
100
40
Answer: A
Question: At what price must Kantilal sell a mixture of 80kg. Sugar at Rs.6.75 per kg. with 120 kg. at Rs.8 per kg. to gain 20% ?
Choices:
Rs.8.20 per kg
Rs.8.85 per kg
Rs.9 per kg.
None
Answer: C
Question: A pump can fill a tank with water in 2 hours. Because of a leak, it took 2 1/5 hours to fill the tank. The leak can drain all the water of the tank in?
Choices:
19 hr
22 hr
24 hr
26 hr
Answer: B
Question: If 4 people are selected from a group of 9 married couples, what is the probability that none of them would be married to each other?
Choices:
2/85
1/3
56/85
11/85
Answer: C
Question: 65 small identical cubes are used to form a large cube. How many more cubes are needed to add one top layer of small cube all over the surface of the large cube ?
Choices:
128
151
216
256
Answer: B
Question: What is the smallest five digit number that is divisible by 15, 24, 36, and 54?
Choices:
10800
10030
10380
10460
Answer: A
Question: Find the sum of all 3-digit nos that can be formed by 1, 2 and 3
Choices:
5994
6900
7002
3546
Answer: A
Question: How many ways are there to select a subcommittee of 9 members from among a committee of 17?
Choices:
24310
28791
27711
12111
Answer: A
Question: A river 4m deep and 65 m wide is flowing at the rate of 6 kmph the amount of water that runs into the sea per minute is?
Choices:
26000
27000
28000
29000
Answer: A
Question: A boy runs 200 metres in 24 seconds. What is his speed?
Choices:
24 km/hr
30 km/hr
32 km/hr
34 km/hr
Answer: B
Question: If a person walks at 25 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance traveled by him is:
Choices:
56 km
13.3 km
70 km
80 km
Answer: B
Question: If the sides of a triangle are 28 cm, 24 cm and 15 cm, what is its area?
Choices:
180 cm2
776 cm2
666 cm2
886 cm2
Answer: A
Question: 2 pipes A and B can separately fill a cistern in 10 and 15 mins respectively. A person opens both the pipes together when the cistern should have been was full he findsthe waste pipe open. He then closes the waste pipe and in another 4 mins the cistern was full. In what time can the waste pipe empty the cistern when fill?
Choices:
8
10
12
14
Answer: A
Question: Rani is two years older than Bruce who is twice as old as Chris. If the total of the age of Rani, Bruce and Chris be 32 years, then how old is Rani ?
Choices:
10 years
12 years
13 years
14 years
Answer: D
Question: There is a 45 cm line marked at each centimeter and an insect is placed at every centimeter. 9 frogs are trained to jump a constant distance. The first one jumps 2 cm in every leap, the second one jumps 3 cm and so on until the 9th one jumps 10 cm in every leap and they eat any insect that is available at that spot. If all of them start from start line and finish the entire 45 cm, how many insects were still left after the race was over?
Choices:
4
6
7
10
Answer: D
Question: An error 8% in excess is made while measuring the side of a square. Now What is the percentage of error in the calculated area of the square?
Choices:
16.64%
15.64%
26.64%
10.64%
Answer: A
Question: Today Jim is twice as old as Fred, and Sam is 2 years younger than Fred. Six years ago Jim was 7 times as old as Sam. How old is Jim now?
Choices:
12
16
20
24
Answer: C
Question: The cost of 2 chairs and 3 tables is Rs.1600. The cost of 3 chairs and 2 tables is Rs.1200. The cost of each table is more than that of each chair by?
Choices:
287
277
188
400
Answer: D
Question: One fast typist type some matter in 2hrs and another slow typist type the same matter in 3hrs. If both do combine in how much time they will take to finish.
Choices:
11
12
13
14
Answer: B
Question: In a certain diving competition, 5 judges score each dive on a scale from 1 to 10. The point value of the dive is obtained by dropping the highest score and the lowest score and multiplying the sum of the remaining scores by the degree of difficulty. If a dive with a degree of difficulty of 3.2 received scores of 7.5, 8.0, 9.0, 6.0, and 8.8, what was the point value of the dive?
Choices:
73.6
75.2
76.8
77.76
Answer: D
Question: The distance between two cities A and B is 330 Km. A train starts from A at 8 a.m. and travel towards B at 60 km/hr. Another train starts from B at 9 a.m and travels towards A at 75 Km/hr. At what time do they meet?
Choices:
07
11
05
03
Answer: B
Question: In a school of 600 students, 45% wear blue shirts, 23% wear red shirts, 15% wear green shirts, and the remaining students wear other colors. How many students wear other colors (not blue, not red, not green)?
Choices:
102
122
132
142
Answer: A
Question: The probability of pulling a black ball out of a glass is 1/X. The probability of pulling a black ball out of a glass and breaking the glass is 1/Y. What is the probability of breaking the glass?
Choices:
Y/X
X by Y
1/(X+Y).
1/(X-Y).
Answer: B
Question: Find the length of a rope by which a cow must be tethered in order that it may be able to graze an area of 2244 sq. metres.
Choices:
B)26.7
C)24.3
D)22.5
of these
Answer: A
Question: The probability that a man will be alive for 10more yrs is 1/4 & the probability that his wife will alive for 10 more yrs is 1/3. The probability that none of them will be alive for 10 more yrs, is
Choices:
1/2
3/5
3/7
5/7
Answer: A
Question: {9,4,3,5,7,12,10}
What value should be inserted into the above set of 7 values to get a median value of 6?
Choices:
4
3
7
6
Answer: C
Question: One-fourth of the students at a nursery school are 4 years old or older. If 15 students have not yet reached their third birthday, and a total of 40 students are not between 3 years old and 4 years old, how many children are in the nursery school?
Choices:
90
100
110
120
Answer: B
Question: A pharmaceutical company received $3 million in royalties on the first $20 million in sales of and then $9 million in royalties on the next $102 million in sales. By approximately what percentage did the ratio of royalties to sales decrease from the first $20 million in sales to the next $102 million in sales?
Choices:
15%
40%
52%
56%
Answer: B
Question: A miniature gumball machine contains 4 blue, 4 green, and 2 red gumballs, which are identical except for their colors. If the machine dispenses three gumballs at random, what is the probability that it dispenses one gumball of each color?
Choices:
4/15
5/30
7/30
11/60
Answer: A
Question: Let f(x) = x^2 + bx + c. If f(5) = 0 and f(-3) = 0, then b + c =
Choices:
-17
-15
-21
-24
Answer: A
Question: Three numbers are in the ratio 1:4:6 and their H.C.F is 7. The numbers are?
Choices:
7, 28, 42
7, 28, 45
7, 21, 42
7, 28, 35
Answer: A
Question: A circular mat with diameter 20 inches is placed on a square tabletop, each of whose sides is 25 inches long. Which of the following is closest to the fraction of the tabletop covered by the mat?
Choices:
0.5024
1/2
3/4
5/6
Answer: A
Question: If goods be purchased for Rs.840 and one-fourth be sold at a loss of 20% at what gain percent should the remainder be sold so as to gain 20% on the whole transaction?
Choices:
33%
33 1/3%
35%
34%
Answer: B
Question: The sum of the first k positive integers is equal to k(k+1)/2. What is the sum of the integers from y to z, inclusive, where 0<y<z?
Choices:
z(z+1)/2 - y(y+1)/2
z(z+1)/2 - (y-1)y/2
(z-1)z/2 - (y+1)(y+2)/2
(z-1)z/2 - y(y+1)/2
Answer: B
Question: A coin is tossed live times. What is the probability that there is at the least one tail?
Choices:
31/32
31/97
31/90
31/56
Answer: A
Question: A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
Choices:
888 m
120 m
217 m
166 m
Answer: B
Question: What is the difference between the place value of 2 in the numeral 7559?
Choices:
165
180
190
450
Answer: D
Question: If four coins are tossed, the probability of getting two heads and two tails is -.
Choices:
3/8
2/5
4/5
5/11
Answer: A
Question: 3 litre of water is added to 11 litre of a solution containing 42% of alcohol in the water. The
percentage of alcohol in the new mixture is
Choices:
20%
30%
33%
None of these
Answer: C
Question: Joe needs to paint all the airplane hangars at the airport, so he buys 360 gallons of paint to do the job. During the first week, he uses 1/4 of all the paint. During the second week, he uses 1/6 of the remaining paint. How many gallons of paint has Joe used?
Choices:
135
175
216
250
Answer: A
Question: What is the total % gain or loss if a trader sold two items for Rs.1500 each, and makes a profit of 20% from the first item and a loss of 12% from the second item.
Choices:
2.4
1.4
12.4
20.5
Answer: A
Question: What least number must be substracted from 427398 so that the remaining number is divisible by 15?
Choices:
3
16
11
15
Answer: A
Question: If there are 9 horizontal lines and 9 vertical lines in a chess board, how many rectangles can be formed in the chess board?
Choices:
1296
1340
1754
1674
Answer: A
Question: Today is Monday. After 63 days, it will be:
Choices:
Monday
Saturday
Friday
Thursday
Answer: A
Question: There are 5 chess amateurs playing in Villa's chess club tournament. If each chess amateur plays with exactly 8 other amateurs, what is the total number of chess games possible to be played in the tournament?
Choices:
20
40
60
120
Answer: A
Question: The food in a camp lasts for 32 men for 48 days. If eight more men join, how many days will the food last?
Choices:
30 days
38 days
16 days
15 days
Answer: B
Question: If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is?
Choices:
9172
8797
8112
1899
Answer: C
Question: Three grades of milk are 1 percent, 33 percent and 3 percent fat by volume. If x gallons of the 1 percent grade, y gallons of the 2 percent grade, and z gallons of the 3 percent grade are mixed to give x+y+z gallons of a 1.5 percent grade, what is x in terms of y and z?
Choices:
(y +z) / 4
2y + 3z
3y + 3z
3y + 4.5z
Answer: C
Question: A man is standing on a railway bridge which is 180 m long. He finds that a train crosses the bridge in 20 seconds but himself in 8 seconds. Find the length of the train and its speed
Choices:
52 km
54 km
56 km
58 km
Answer: B
Question: A business finds that their ratio of spending to income is 5 to 9. Their total profit is $48,000. What is their total income?
Choices:
$108,000
$119,000
$126,000
$140,000
Answer: A
Question: Points A, B, C, and D, in that order, lie on a line. If AB = 2 cm, AC = 5 cm, and BD = 6 cm, what is CD, in centimeters?
Choices:
2
3
4
5
Answer: B
Question: In an examination 38% of students fail in English and 61% pass in Hindi and 23% fail in both. Find the actual failure percentage?
Choices:
12%
54%
28%
42%
Answer: B
Question: I came across this problem in the GMATprep software and got it totally wrong!
A company consists of 6 senior and 4 junior staff officers. If a committee is created with 3 senior and 3 junior staff officers, how many possible committees are there?
Choices:
44
56
80
200
Answer: C
Question: Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?
Choices:
12:15:16
12:15:19
12:15:11
12:15:13
Answer: A
Question: a, b, and c are integers and a<b<c. S is the set of all integers from a to b, inclusive. Q is the set of all integers from b to c, inclusive. The median of set S is (3/4)*b. The median of set Q is (7.5/8)*c. If R is the set of all integers from a to c, inclusive, what fraction of c is the median of set R?
Choices:
1/2
11/16
23/32
3/4
Answer: C
Question: If r = (x – 5)^2 + (x + 1)^2 – 6, then y is least when x =
Choices:
-1
0
2
None of the above
Answer: C
Question: From the starting point in a boat race, one competitor started to sail north at a speed of 1.4 Km/h, the other competitor started to sail west at a speed of 1.2 Km/h. What is the distance in Km between the two competitors after 5 hours?
Choices:
9.21
12.5.
14.
15.4.
Answer: A
Question: What is the highest integer that is the sum of 2 distinct prime integers, each smaller than 80 ?
Choices:
152
153
169
176
Answer: A
Question: A Kloke's train rails across an open track at 250 kilometers per hour. A regular passenger train travels at 68% of the Kloke's train speed. If the two trains start moving from the same station at the same time, how much time longer will it take the passenger train than the Kloke's to travel 850 kilometers?
Choices:
1 hour and 36 minutes.
2 hours and 24 minutes.
2 hours and 36 minutes.
5 hours.
Answer: A
Question: Pipe A can fill a tank in 4 hours. Due to a leak at the bottom, it takes 6 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?
Choices:
12
95
36
66
Answer: A
Question: The speed at which a woman can row a boat in still water is 120 kmph. If she rows downstream, where the speed of current is 60 kmph, what time will he take to cover 500 metres?
Choices:
9
10
11
12
Answer: B
Question: A highway is to be divided into four lanes. For this purpose, three yellow stripes are painted so that stripes divide the highway into four lanes. If 3 gallons of paint cover an area of 2P square feet of highway, how many gallons of paint are needed to paint two stripes x inches wide on a stretch of highway m miles long? (1 mile = 5280 feet and 1 feet = 12 inches)
Choices:
880mx/P
1320P/mx
440P/mx
1980mx/P
Answer: D
Question: The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:10. If P invested the money for 5 months, find for how much time did Q invest the money?
Choices:
6
17
10
88
Answer: C
Question: A train covers a distance of 12 km in 10 min. If it takes 12 sec to pass a telegraph post, then the length of the train is?
Choices:
240 m
120 m
168 m
178 m
Answer: A
Question: Calculate the effect changes in dimension of a rectangle will have on its area, if length is increased by 20% and its breadth is decreased by 5%?
Choices:
14 percent increase
24 percent increase
13 percent increase
11 percent increase
Answer: A
Question: A Jar contains 18 balls. 3 blue balls are removed from the jar and not replaced.Now the probability of getting a blue ball is 1/5 then how many blue balls jar contains initially?
Choices:
3
4
5
6
Answer: D
Question: If the two-digit integers A and B are positive and have the same digits, but in reverse order, which of the following could be the sum of A and B?
Choices:
54
55
56
57
Answer: B
Question: In how many different ways can the letters of the word ‘POSITIVE’ be arranged ?
Choices:
720
40320
24
6
Answer: B
Question: (128.5 x 64) + (13.8 x 465) = ? x 25
Choices:
556.02
574.36
585.64
595.46
Answer: C
Question: In a certain deck of cards, each card has a positive integer written on it, in a multiplication game a child draws a card and multiplies the integer on the card with the next large integer. If the each possible product is between 15 and 150, then the least and greatest integer on the card would be
Choices:
3 and 20
4 and 12
4 and 14
5 and 14
Answer: B
Question: If a motor bike's wheel is 12 cm diameter and rotating at the rate of x cm/min and another motor bike's wheel is 6 cm diameter rotating at the rate of y cm/min and if both the bikes reach the distance at same time then what is the value of y in terms of x?
Choices:
3x/6
4x/2
1x/2
2x/3
Answer: C
Question: The diagonal of a rectangle is √41 cm and its area is 20 sq. cm. The perimeter of the rectangle must be:
Choices:
18
38
48
58
Answer: A
Question: The ratio of the present ages of Giri and Hari is 5 : 8. 12 years hence, the ratio of their ages will be 11 : 14. Find the difference in their present ages?
Choices:
6
5
4
2
Answer: A
Question: How many multiples of 5 are there between 5 to 95?
Choices:
18
17
none of these
Cannot be determined
Answer: B
Question: The speed of a boat in still water is 60kmph and the speed of the current is 40kmph. Find the speed downstream and upstream?
Choices:
kmph
kmph
kmph
kmph
Answer: C
Question: Jaclyn buys $40 000 worth of debentures in a company. She earns 9.5% p.a. simple interest, paid to her quarterly (that is, every 3 months). If the agreed period of the debenture was 18 months: calculate the amount of interest Jaclyn will earn for each quarter
Choices:
950
1289
1345
None of these
Answer: A
Question: If S = T/P, -1 < P < 0 and 4 < T, which of the following is correct?
Choices:
0 < S <4.
-4 < S < 0.
S < -4.
S < -20.
Answer: C
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
240 m
167 m
887 m
265 m
Answer: A
Question: Walking at the rate of 8kmph a man cover certain distance in 4hr 45min. Running at a speed of 19 kmph the man will cover the same distance in.
Choices:
110 min
140 min
120 min
150 min
Answer: C
Question: A palindrome is a number that reads the same forward and backward, such as 464. How many odd five-digit numbers are palindromes?
Choices:
400
500
5,000
100,000
Answer: B
Question: A real estate investor decided to sell five of his apartments at the cost of $168,000, $235,000, $157,000, $ 256,000 and $ 235,000. Due to a bidding war, the price on the most expensive apartment will likely be sold for $15,000 higher than the initial asking price. Which of the following best describes how the mean and median would change as a result of a higher sale price on the most expensive apartment?
Choices:
The median will change but the mean remains unchanged.
The median will remain the same but the mean will increase.
Both the mean and the median will increase by the same percentage.
Both the mean and the median will increase by different amounts.
Answer: B
Question: If [[x]] = x^2 + 2x + 4, what is the value of [[4]]?
Choices:
9
15
19
28
Answer: D
Question: There are two circles of different radii. The are of a square is 784 sq cm and its side is twice the radius of the larger circle. The radius of the larger circle is seven - third that of the smaller circle. Find the circumference of the smaller circle?
Choices:
14
12
16
17
Answer: B
Question: A six-sided die is rolled once. What is the probability that the number rolled is an even number greater than 2?
Choices:
1/3
2/4
1/5
2/6
Answer: A
Question: It takes one machine 3 hours to complete a production order and another machine 3 hours to complete the same order. How many hours would it take both amhcines working simultaneously at their respective rates to complete the order?
Choices:
b) 1 1/2
c) 1 5/7
d) 3 1/2
e) 1 1/2
Answer: D
Question: There are 6 tasks and 6 persons. Task 1 cannot be assigned either to person 1 or to person 2; task 2 must be assigned to either person 3 or person 4. Every person is to be assigned one task. In how many ways can the assignment be done?
Choices:
144
192
360
None of these
Answer: A
Question: A man purchases 8 pens for Rs.9 and sells 9 pens for Rs.8, how much profit or loss does he make?
Choices:
20.98
20.92
20.96
20.91
Answer: A
Question: For integers x and y, if 91x = 8y, which of the following must be true?
I. y > x
II. y/7 is an integer
III. The cube root of x is not necessarily an integer
Choices:
II only
III only
I and II
II and III
Answer: D
Question: A $500 investment and a $1,500 investment have a combined yearly return of 8.5 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:
9%
105/8%
11%
12%
Answer: A
Question: How much interest can a person get on Rs. 8800 at 17.5% p.a. simple interest for a period of two years and six months?
Choices:
3587.59
3587.5
3587.52
3850
Answer: D
Question: A box contains 4 blue marbles, 3 red, 6 green marbles and two yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow?
Choices:
4/10
1/10
2/10
3/10
Answer: B
Question: Three numbers are in the ratio 5 : 6 : 7. The sum of its longest and smallest numbers equals the sum of the third number and 37. Find the third number?
Choices:
A)37
C)48
D)43
E)84
Answer: A
Question: A person has to cover a distance of 6km in 45 minutes. If he covers one half of the distance in two-thirds of the total time; to cover the remaining distance in the remaining time, his speed must be?
Choices:
12km per hr
15km/hr
20km/hr
18km/hr
Answer: A
Question: Two men A and B start from place X walking at 4 ½ kmph and 5 ¾ kmph respectively. How many km apart they are at the end of 3 ½ hours if they are walking in the same direction?
Choices:
5 3/8 km
4 3/8 km
6 3/8 km
7 3/8 km
Answer: B
Question: What amount does an investor receive if the investor invests $7000 at 10% p.a. compound interest for two years, compounding done annually?
Choices:
$8130
$8260
$8320
$8470
Answer: D
Question: If 16 men can reap 80 hectares in 24 days , then how many hectares can 36 men reap in 30 days?
Choices:
225
287
450
281
Answer: A
Question: If p is a positive integer, and r is the units digit of 3^4p×5^5p×6^6p×7^7p then r + 2 is divisible by which of the following?
Choices:
2
5
7
9
Answer: A
Question: A reduction of 18% in the price of oil enables a house wife to obtain 8kgs more for Rs.1080, what is the reduced price for kg?
Choices:
27.24
24.25
28.46
20.9
Answer: B
Question: Due to 10% decrease in the price of sugar and John can buy 5kg more sugar in Rs100 , then find the CP of sugar?
Choices:
Rs.2(2/9)
Rs.3(1/9)
Rs.1(1/9)
Rs.2(2/5)
Answer: A
Question: A man went into a bank to cash a check. In handing over the money the cashier, by mistake, gave him dollars for cents and cents for dollars. He pocketed the money without examining it, and spent a nickel on his way home. He then found that he possessed exactly twice the amount of the check. He had no money in his pocket before going to the bank. What was the exact amount of that check?
Choices:
$31.63
$32.63
$37.63
$33.63
Answer: A
Question: Lorna invests $7000, with some at 6% annual interest and some at 11% annual interest. If she receives a total of $580 from these investments at the end of a year, how much was invested at the 6% interest rate?
Choices:
$1,600
$2,200
$1,400
$5,840
Answer: C
Question: By travelling at 70 kmph, a person reaches his destination on time. He covered two-third the total distance in one-third of the total time. What speed should he maintain for the remaining distance to reach his destination on time?
Choices:
20 kmph
28 kmph
35 kmph
32 kmph
Answer: C
Question: The profit earned by selling an article for $ 832 is equal to the loss incurred when the same article is sold for $ 448. What should be the sale price for making 50% profit?
Choices:
$450
$960
$870
$660
Answer: B
Question: A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 32, the how old is B?
Choices:
9
8
11
12
Answer: D
Question: Anand and Deepak started a business investing Rs.22,500 and Rs.35,000 respectively. Out of a total profit of
Rs. 13,800. Deepak's share is
Choices:
Rs 8500
Rs 8450
Rs 8400
None of these
Answer: C
Question: A man performs 1/2 of his journey by rail, 2/5 by bus and the remaining 10 km on foot. His total journey is?
Choices:
50km
60km
70km
100km
Answer: A
Question: A straight pipe 1 yard in length was marked off in fourths and also in fifths. If the pipe was then cut into separate pieces at each of these markings, which of the following gives all the different lengths of the pieces, in fractions of a yard?
Choices:
1/4 and 1/3 only
3/20, 1/5 and 1/10
1/12, 1/6 and 1/4
1/20, 3/20, 1/5 and 1/10
Answer: D
Question: If n is a positive integer, which of the following expressions must be even?
Choices:
(n − 8)( n + 1)
(n − 4)( n + 4)
(n − 5)( n + 1)
(n − 5)( n + 5)
Answer: A
Question: The average age of three boys is 25 years and their ages are in the proportion 3 : 5 : 7. The age of the youngest boy is:
Choices:
18 years
15 years
9 years
None of these
Answer: B
Question: List I: { y, 2, 4, 7, 10, 11}
List II: {3, 3, 4, 6, 7, 10}
If the median T of List I is equal to the sum of the median of list II and the mode of list II, then y equals
Choices:
7
8
T=9
10
Answer: C
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. 27,000 is made?
Choices:
Rs. 1,23,000
Rs. 1,24,000
Rs. 1,21,000
None of these
Answer: A
Question: If two integers x,y (x>y) are selected from -5 to 6 (inclusive), how many cases are there?
Choices:
66
70
74
78
Answer: A
Question: Six animals of a circus has to be placed inside in six cages one in each cage. If 4 of the cage are too small for 6 of the animal then find the number of ways of caging the animal.
Choices:
A.240
C.502450
D.784200
E.302400
Answer: A
Question: How many two-digit whole numbers yield a remainder of 3 when divided by 10 and also yield a remainder of 3 when divided by 4?
Options:
Choices:
TWO
THREE
FOUR
FIVE
Answer: C
Question: In a class there are a total of 8 rows of desks and each desk can seat one student. There are 10 desks in the first row. In each subsequent row there are 2 more desks than in the previous row. Find the maximum number of students seated in the class?
Choices:
144
136
132
118
Answer: B
Question: In how many ways can the letters of word CREMATION be arranged such that NO two vowels appear together?
Choices:
5!*4!
4!*5!
5!*4!*2!
6!*4!
Answer: B
Question: A factory produces 4560 toys per week. If the workers at this factory work 4 days a week and if these workers make the same number of toys everyday, how many toys are produced each day?
Choices:
1140 toys
3375 toys
4375 toys
5375 toys
Answer: A
Question: A and B together have Rs. 1210. If 4/15 of A's amount is equal to 2/5 of B's amount, how much amount does B have?
Choices:
Rs. 484
Rs. 550
Rs. 664
none
Answer: A
Question: Train starts from amritsar to Bombay at 9am. It reaches destination after 3days at 9:30am. Every day a train starts. How many trains does it come across on the way ?
Choices:
4th
6th
7th
8th
Answer: A
Question: For the past n days, the average (arithmetic mean) daily production at a company was 50 units. If today's production of 60 units raises the average to 55 units per day, what is the value of n ?
Choices:
18
10
9
1
Answer: D
Question: By selling 150 mangoes, a fruit-seller gains the selling price of 30 mangoes. Find the gain percent?
Choices:
25%
15%
28%
55%
Answer: A
Question: There were two candidates in an election. Winner candidate received 56% of votes and won the election by 288 votes. Find the number of votes casted to the winning candidate?
Choices:
1344
299
257
125
Answer: A
Question: Rahul went to purchase a Nokia mobile handset, the shopkeeper told him to pay 20% tax if he asked the bill. Rahul manages to get the discount of 5% on the actual saleprice of the mobile and he paid the shopkeeper Rs. 3325 without tax. Besides he manages to avoid to pay 20% tax on the already discounted price, what is the amount of discount that he has gotten?
Choices:
375
875
525
625
Answer: B
Question: A 2-year certificate of deposit is purchased for E dollars. If the certificate earns interest at a n annual rate of 6 percent compound quarterly, which of the following represents the value, in dollars, of the certificate at the end of 2 years?
Choices:
k(1.06)^8
k(1.015)^2
E(1.015)^8
k(1.03)^4
Answer: C
Question: Farm Tax is levied on the 50% of the cultivated Land. The tax department collected total $ 3840 through the farm Tax from the village of Mr. william. Mr. william paid only $ 480 as farm tax. The percentage of total land of Mr. willam over the total taxable land of the village is :
Choices:
25%
0.125%
0.2083%
none
Answer: A
Question: Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.15 km and 0.6 km respectively. The time taken by the slower train to cross the faster train in seconds is?
Choices:
42
7
67
15
Answer: A
Question: In the fifth grade at Parkway elementary school there are 420 students. 312 students are boys and 250 students are playing soccer. 86% of the students that play soccer are boys. How many girl student are in Parkway that is not playing soccer?
Choices:
73.
81
91
108
Answer: A
Question: Fox jeans regularly sell for $15 a pair and Pony jeans regularly sell for $18 a pair. During a sale these regular unit prices are discounted at different rates so that a total of $9 is saved by purchasing 5 pairs of jeans: 3 pairs of Fox jeans and 2 pairs of Pony jeans. If the sum of the two discounts rates is 22 percent, what is the discount rate on Pony jeans?
Choices:
10%
11%
12%
15%
Answer: A
Question: 4^15 is equal to which of the following?
Choices:
1,073,751,824
1,073,751,842
1,073,751,806
1,073,751,821
Answer: A
Question: Sheila works 8 hours per day on Monday, Wednesday and Friday, and 6 hours per day on Tuesday and Thursday. She does not work on Saturday and Sunday. She earns $468 per week. How much does she earn in dollars per hour?
Choices:
8
9
11
13
Answer: D
Question: The Shopkeeper increased the price of a product by 22% so that customer finds it difficult to purchase the required amount. But somehow the customer managed to purchase only 70% of the required amount. What is the net difference in the expenditure on that product?
Choices:
B)12.2%
C)13.15%
D)14%
E)15%
Answer: A
Question: I sold a book at a profit of 10%. Had I sold it for $140 more, 15% would have been gained. Find the cost price?
Choices:
$2500
$3000
$2800
$1540
Answer: C
Question: In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
Choices:
720
137
129
112
Answer: A
Question: In a 1000 m race, A beats B by 50 m and B beats C by 100 m. In the same race, by how many meters does A beat C?
Choices:
145m
822m
929m
132mj
Answer: A
Question: 0.009/x=0.05. find the value of X
Choices:
0.09
0.018
0.18
90
Answer: C
Question: If a: b = 7: 5, b: c = 9: 11, find a: b: c?
Choices:
63: 45: 55
63: 45: 53
63: 45: 59
63: 45: 58
Answer: A
Question: A man swims downstream 32 km and upstream 24 km taking 4 hours each time, what is the speed of the man in still water?
Choices:
8
6
7
2
Answer: C
Question: how many number of three digit numbers can be formed usingzs numbers 2,3,4,5 in which no repeatation..?
Choices:
24
18
16
12
Answer: A
Question: A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?
Choices:
20
98
77
12
Answer: A
Question: The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is?
Choices:
249
245
289
271
Answer: B
Question: Two trains 151 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
Choices:
7.18
7.16
7.84
7.12
Answer: C
Question: To fill an art exhibit, the boys in an art course are assigned to create one piece of artwork each in the following distribution: 1/3 are sculptures, 1/8 are oil paintings, 1/2 are watercolors, and the remaining 10 pieces are mosaics. How many boys are in the art class?
Choices:
120
240
320
400
Answer: B
Question: Let Q represent a set of six distinct prime numbers. If the sum of the numbers in Q is even and x is a member of Q, then what is the least possible value that x can be?
Choices:
2
5
3
7
Answer: C
Question: If 20% of a = b, then b% of 20 is the same as:
Choices:
4% of a
20% of a
None of these
8% of a
Answer: A
Question: An article costs Rs. 600. What should be the marked price of an article so that after 10% discount, the trader makes 20% profit?
Choices:
Rs. 800
Rs. 8029
Rs. 888
Rs. 8128
Answer: A
Question: The average expenditure of a man for the first five months is Rs.120 and for the next seven months it is Rs.130. If he saves Rs.290 in that year, his monthly average income is :
Choices:
Rs.150
Rs.160
Rs.170
none
Answer: A
Question: Total 100 members are writing exam. In the 48 members are writing first exam. 45 members are writing second exam. 38 members are writing third exam. 5 members are writing all the three exams. How many members are writing 2 exams?
Choices:
21
88
719
011
Answer: A
Question: Evaluate: (1 - 1/10)(1 - 1/11)(1 - 1/12)...(1 - 1/99)(1 - 1/100)
Choices:
8/100
9/100
6/100
3/100
Answer: B
Question: A man’s speed with the current is 17 km/hr and the speed of the current is 2.5 km/hr. the man’s speed against the current is :
Choices:
12 km/hr
10 km/hr
12.5 km/hr
None of these
Answer: A
Question: A pipe can fill a cistern in 20 minutes whereas the cistern when fill can be emptied by a leak in 28 minutes. When both pipes are opened, find when the cistern will be full?
Choices:
88 minutes
70 minutes
77 minutes
48 minutes
Answer: B
Question: Shopkeeper rise price by 34% and gives successive discount of 10% and 15%. What is overall % gain or loss?
Choices:
2.51%
3.51%
6.51%
7.51%
Answer: A
Question: On a test, students receive 5 points for each correct answer and are penalized by losing one point for each incorrect answer. There are 6 questions on the test and each question has 4 answer options, A, B, C, and D. It is known that 5 of the questions have option B as the correct answer and one question has option C as the correct answer. If a student marks B for the first 3 questions and C for the last 3 questions, what is the minimum possible score that student can receive?
Choices:
-1
0
1
6
Answer: D
Question: The ratio of the present ages of a son and his father is 1 : 5 and that of his mother and father is 4 : 5. After 2 years the ratio of the age of the son to that of his mother becomes 3 : 10. What is the present age of the father?
Choices:
28 years
37 years
Data inadequate
None of these
Answer: D
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
9:0
9:3
9:2
Answer: A
Question: The difference of two numbers is 11. One third of their sum is 7. What are the two numbers?
Choices:
16,5
3,14
11,10
7,14
Answer: A
Question: A shade of paint is made by evenly mixing m gallons of white paint, costing $12 a gallon, with n gallons of blue paint, costing $30. What is the cost, in dollars per gallon, of the resulting mixture?
Choices:
42(12m +30n)
(12m +30n)/42
(12m +30n)/(M+ N)
42(M+ N)/(12m +30n)
Answer: C
Question: If the population of a certain country increases at the rate of one person every 20 seconds, by how many persons does the population increase in 30 minutes?
Choices:
20
96
90
40
Answer: C
Question: The smallest 3 digit prime number is:
Choices:
365
789
412
101
Answer: D
Question: By selling a watch for Rs.560/-, a man loses 20% what is that watch cost price?
Choices:
s. 700/-
s. 800/-
s. 850/-
s. 900/-
Answer: A
Question: In a division sum, the remainder is 0. As student mistook the divisor by 12 instead of 21 and obtained 35 as quotient. What is the correct quotient?
Choices:
12
13
20
22
Answer: C
Question: A person invested in all Rs. 2600 at 4%, 6% and 8% per annum simple interest. At the end of the year, he got the same interest in all the three cases. The money invested at 4% is?
Choices:
2799
2799
1200
2771
Answer: C
Question: If the area of circle is 452 sq cm then its circumference?
Choices:
88
75
78
12
Answer: B
Question: The diameter of a wheel is 0.7 m. How far will it travel in 200 revolutions
Choices:
220 m
440 m
560
650
Answer: B
Question: John left home and drove at the rate of 35 mph for 2 hours. He stopped for lunch then drove for another 3 hours at the rate of 55 mph to reach his destination. How many miles did John drive?
Choices:
235 miles.
255 miles.
265 miles.
275 miles.
Answer: A
Question: A, B and C rents a pasture for Rs.870. 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:
270
676
156
122
Answer: A
Question: 40% of a number is more than 20% of 650 by 190. Find the number?
Choices:
282
800
277
232
Answer: B
Question: Machine A working alone can complete a job in 9 hours. Machine B working alone can do the same job in 12 hours. How long will it take both machines working together at their respective constant rates to complete the job?
Choices:
27/5
12/7
36/7
15/7
Answer: C
Question: In how many ways, a committee of 5 members can be selected from
6 men and 5 ladies, consisting of 3 men and 2 ladies?
Choices:
200
300
500
430
Answer: A
Question: If A is to be chosen at random from the set {56,85,41} and B is to be chosen at random from the set {1,2,3,4,5}, what is the probability that AB will be odd?
Choices:
13/15
56/15
6/15
8/15
Answer: A
Question: Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 7 seconds. What is the length of the fast train?
Choices:
23 (2/9)m
38 (8/9)m
29 m
28 m
Answer: B
Question: Johnny travels a total of one hour to and from school. On the way there he jogs at 5 miles per hour and on the return trip he gets picked up by the bus and returns home at 21 miles per hour. How far is it to the school?
Choices:
4 miles
6.5 miles
8 miles
10 miles
Answer: B
Question: Rs. 800 becomes Rs. 956 in 3 years at a rate of S.I. If the rate of interest is increased by 4%, what amount will Rs. 800 become in 3 years?
Choices:
2798
1052
2789
2878
Answer: B
Question: If y ≠ 3 and 2x/y is a prime integer greater than 2, which of the following must be true?
I. x = y
II. y = 1
III. x and y are prime integers.
Choices:
None
II only
III only
I and II
Answer: A
Question: In the list 3, 4, 5, 5, 5, 5, 7, 11, 21, what fraction of the data is less than the mode?
Choices:
2/9
2/5
2/3
7/9
Answer: A
Question: Eleven books consisting of 4 financial management, 3 marketing management and 4 system management are placed on a shelf at random order. What is the probability that the books of each kind are all together.
Choices:
1/1355
1/2255
1/5040
1/1155
Answer: D
Question: In the year 2011, Shantanu gets a total of Rs. 3832.5 as his pocket allowance. Find his pocket allowance per day.?
Choices:
Rs. 10.5
Rs. 12.5
Rs. 11.5
None of these
Answer: A
Question: Three numbers are in the ratio 3:5:7. The largest number is 56. What is the difference between smallest and largest number?
Choices:
24
28
32
36
Answer: C
Question: A and B can do a piece of work in 40 days and 50 days respectively. They work together for 10 days and B leaves. In how many days the whole work is completed?
Choices:
28 days
20 days
30 days
40 days
Answer: A
Question: I had 30 donuts when I left home this morning but only 9 when I came back home. What percentage of the donuts are missing?
Choices:
70
55
75
60
Answer: A
Question: The average salary of 20 people in the shipping department at a certain firm is $1000. The salary of 10 of the employees is $600 each and the salary of 6 of the employees is $200 each. What is the average salary of the remaining employees?
Choices:
$3200
$4500
$5000
$5200
Answer: A
Question: A student was asked to find the arithmetic mean of the numbers 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14 and x. He found the mean to be 12. What should be the number in place of x ?
Choices:
7
6
5
4
Answer: A
Question: The perimeter of a triangle is 48 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
Choices:
56 cm2
18 cm2
98 cm2
60 cm2
Answer: D