antoine-444/aqua_rat_dataset huggingface dataset:
Question: If 12 men and 16 boys can do a piece of work in 5 days and 13 men together will 24 boys can do it in 4 days. Compare the daily work done by a man with that of a boy?
Choices:
2:9
2:4
2:1
2:2
Answer: C
Question: In a room with 7 people, 4 people have exactly 1 friend in the room and 3 people have exactly 2 friends in the room (Assuming that friendship is a mutual relationship, i.e. if Jane is Paul's friend, Paul is Jane's friend). If two individuals are selected from the room at random, what is the probability that those two individuals are NOT friends?
Choices:
3/7
4/7
5/7
16/21
Answer: D
Question: How much is 75% of 40 is greater than 4/5 of 25?
Choices:
67
10
12
66
Answer: B
Question: If f(a)=3a+6, what is the value of (f(2a)+f(a)) ?
Choices:
8a-7
9a+5
8a+12
3a+5
Answer: C
Question: Sum of 53 odd numbers is?
Choices:
2809
2909
3009
3109
Answer: A
Question: Given that 2x + 11 > 5 and 5x - 13 < 7, all values of x must be between which of the following pairs of integers?
Choices:
-1 and 4
-4 and 1
-3 and 4
2 and 5
Answer: C
Question: On dividing 136 by a number, the quotient is 9 and the remainder is 1. Find the divisor?
Choices:
B)15
C)16
D)17
E)18
Answer: A
Question: The ratio of number of boys and girls in a school is 3:2. If there are 100 students in the school, find the number of girls in the school?
Choices:
30
35
40
50
Answer: C
Question: A train speeds past a pole in 15 seconds and a platform 150 meters long in 25 seconds. What is the length of the train (in meters)?
Choices:
215
225
235
245
Answer: B
Question: -64x29+165=?
Choices:
2801
-2801
-1601
None of them
Answer: C
Question: Which of the following CANNOT be a product of two distinct positive integers r and s?
Choices:
s
3s + 2r
s - r
sr
Answer: C
Question: Three friends are buying a gift for a friend. Declan contributes 4 dollars more than 1/4 the cost of the gift, Ed contributes 6 dollar less than 1/3 the cost of the gift, and Frank contributes the remaining 22 dollars. What is the cost of the gift?
Choices:
48
60
66
72
Answer: A
Question: In how many different number of ways 5 boys and 2 girls can sit on a shopa which can accommodate persons?
Choices:
210
220
230
234
Answer: A
Question: Find the greatest number which leaves the same remainder when it divides 25, 57 and 105.
Choices:
28
18
16
12
Answer: C
Question: A small, rectangular park has a perimeter of 560 feet and a diagonal measurement of 600 feet. What is its area, in square feet?
Choices:
172,800
20,000
20,400
20,800
Answer: A
Question: If the remainder is 3 when positive integer n is divided by 18, what is the remainder when n is divided by 6?
Choices:
3
2
3
4
Answer: A
Question: Health insurance Plan W requires the insured to pay $1000 or 50% of total cost, whichever is lower. Plan B requires the insured to pay the initial $300, but then pays 80% of the cost over $300. Which of the following is a cost level for which both insurance plans pay out the same amount?
Choices:
$1000
$3800
$5300
$6200
Answer: A
Question: We have boxes colored either red or blue. In each blue box there is a fixed number of blueberries. In each red box there is a fixed number of strawberries. If we dispose of one blue box for one additional red box, the total number of berries would increase by 30, and the difference between the total number of strawberries and the total number of blueberries would increase by 100. Each blue box contains how many blueberries?
Choices:
35
45
50
55
Answer: A
Question: If s and t are positive integers such that s/t = 56.18, which of the following could be the remainder when s is divided by t ?
Choices:
4
8
20
90
Answer: D
Question: If three numbers in the ratio 3 : 2: 5 be such that the sum of their squares is 1862, the middle number will be
Choices:
14
18
22
24
Answer: A
Question: Rahul went to a shop and bought things worth Rs. 24, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choices:
18.7
22
21.4
21.5
Answer: A
Question: In measuring the sides of a rectangle,one side is taken 5% in excess,and the other 4% in deficit.Find the error percent in the error percent in the area calculated from these measurements.
Choices:
0.8%
0.4%
0.9%
0.6%
Answer: A
Question: there are five red shoe and 4 green. if one draw randomly a shoe then what is the probability of getting red
Choices:
2/9
3/9
4/9
5/9
Answer: D
Question: There 3 kinds of books in the library physics, chemistry and biology. Ratio of physics to chemistry is 3 to 2; ratio of chemistry to biology is 4 to 3, and the total of the books is more than 3000. Which one of following can be the total E of the book?
Choices:
3003
3024
3021
3018
Answer: A
Question: From the given equation find the value of x: x² − 3x + 2
Choices:
3
2
5
6
Answer: B
Question: Sam taken a loan Rs.15000/- from Co-operative Society with an interest @ 11.5% per month. At the same time he deposited Rs. 10000/- as Fixed Deposit with an interest @ 9.5% per month. After one week sam asked the manager to calculate the interest to be paid. What is the interest amount for 7 days?
Choices:
B)220
C)310
D)185
E)181
Answer: D
Question: Calculate the time it will take for a train that is 200 meter long to pass a bridge of 180 meter length, if the speed of the train is 65 km/hour ?
Choices:
4 seconds
31.04 seconds
11.04 seconds
21.04 seconds
Answer: D
Question: Train E and F, 455 miles apart, are traveling toward each other at constant rates and in the same time zone. If train E left at 4 pm traveling at a speed of 60 miles per hour, and train F left at 5:45 pm and traveling at 45 miles per hour, then at what time would they pass each other?
Choices:
9.05pm
9.07pm
9.08pm
9.10pm
Answer: A
Question: An athlete runs 200 metres race in 24 seconds. His speed is
Choices:
24 km /hr
28.5 km / hr
30 km / hr
None
Answer: C
Question: While playing a certain dice game, Chris wins if the sum of the two dice is 10, at which point the game is over. If the game allows Chris three rolls in an attempt to win, what is the probability that Chris will win?
Choices:
17/36
190/827
11/36
25/216
Answer: B
Question: If the ratio of the change in the book's price to its new price is 1 : 5, What is the % price increase?
Choices:
25%
75%
90%
100%
Answer: A
Question: If 4x+y=34, 2x-y=20, for integers of x and y, y^2=?
Choices:
4
0
10
3
Answer: A
Question: A sum of $1162 is divided among A,B and C. Such that 4 times A's share share is equal to 5 times B's share and 7 times C's share . What is the share of C?
Choices:
$ 280
$ 260
$ 140
$ 240
Answer: A
Question: The average of first 10 odd numbers is?
Choices:
average=10
18
12
19
Answer: A
Question: The events A and B are independent. The probability that event A occurs is x and the probability that event B occurs is y. Which of the following is equal to the probability that exactly one of the events A and B occurs?
Choices:
y − xy
x + y − 2xy
x + y − xy
x + y
Answer: C
Question: What will be the cost of gardening 1 meter boundary around a rectangular plot having perimeter of 340 meters at the rate of Rs. 10 per square meter ?
Choices:
3440
2777
2689
2771
Answer: A
Question: A man buys s cycle for $1400 and sells it at a loss of 15%. What is the selling price of the cycle?
Choices:
$1006
$1190
$1245
$1521
Answer: B
Question: Let the number which when multiplied by 15 is increased by 280.
Choices:
20
26
28
30
Answer: A
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 700 grams per kg, what is his percent?
Choices:
25
77
42
11
Answer: C
Question: The length of a rectangle is halved, while its breadth is tripled. Wa tis the % changein area?
Choices:
45%
50%
60%
67%
Answer: B
Question: The ratio of money with Ram and Gopal is 7 : 17 and that with Gopal and Krishan is 7: 17. If Ram has Rs. 490, Krishan has ?
Choices:
Rs. 2890
Rs. 1190
Rs. 1620
Rs. 2680
Answer: A
Question: A starts business with Rs.3500 and after 8 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is Bâ€™s contribution in the Capital ?
Choices:
20778
23788
15750
2811
Answer: C
Question: In what time a sum of money double itself at 5% per annum simple interest?
Choices:
33 1/3%
33 7/3%
32 1/3%
20%
Answer: D
Question: The integer E has a tens digit of 6 and a units digit of 7. The units digit of integer y is 8. The product of E and y has a tens digit of 8. Which of the following is a possible tens digit of integer y?
Choices:
4
5
6
7
Answer: B
Question: If Ram and gohul can do a job in 10 days and 15 days independently, How many days would they take to complete the same job working simultaneously?
Choices:
5
8
6
13
Answer: C
Question: A dishonest dealer professes to sell goods at the cost price but uses a false weight and gains 25%. Find his false weight age?
Choices:
289
887
278
179
Answer: B
Question: 12, 36, ?, 324, 972
Choices:
108
215
312
368
Answer: A
Question: Two consultants can type up a report in 12.5 hours and edit it in 7.5 hours. If Mary needs 30 hours to type the report and Jim needs 12 hours to edit it alone, how many R hours will it take if Jim types the report and Mary edits it immediately after he is done?
Choices:
41.4
13.4
12.4
10.8
Answer: A
Question: A man saves Rs 400 at the end of each year and lends the money at 5% compound interest. How
much will it become at the end of 3 years.
Choices:
Rs 1232.01
Rs 1324.05
Rs 1662.05
None of these
Answer: B
Question: Z is a set of positive numbers. The median of Z is greater than the mean of Z. Which of the following W must be true?
I. At least 50% of the numbers in Z are smaller than the median.
II. Less than 50% of the numbers in Z are greater than the median.
III. The median of Z is greater than the average of the largest and smallest numbers in Z.
Choices:
II only
III only
I and III only
W=None of the above
Answer: D
Question: To apply for the position of photographer at a local magazine, a photographer needs to include three or four photos in an envelope accompanying the application. If the photographer has pre-selected six photos representative of her work, how many choices does she have to provide the photos for the magazine?
Choices:
35
40
42
45
Answer: A
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:
700 m
800 m
100 metre
1300 m
Answer: C
Question: John bought 2 shares and sold them for $98 each. If he had a profit of 20% on the sale of one of the shares but a loss of 20% on the sale of the other share, then on the sale of both shares John had
Choices:
a profit of $8
a loss of $4
a loss of $10
neither a profit nor a loss
Answer: B
Question: If each participant of a chess tournament plays exactly one game with each of the remaining participants, then 253 games will be played during the tournament. What is the number of participants?
Choices:
22
23
24
25
Answer: B
Question: A credit card number has 6 digits (between 1 to 9 inclusive). The first two digits are 12 in that order, the third digit is bigger than 6, the fourth digit is divisible by 2, and the fifth digit is 3 times the sixth. How many different credit card numbers are possible?
Choices:
24
36
48
72
Answer: B
Question: 1+ 1+ 1+ 2 × 1^2 + 2 × 1^1+ 2 × 1^4 + 2 × 1^5 + 2 × 1^6 + 2 × 1^7 =
Choices:
1^8
1^14
1^28
3^30
Answer: A
Question: On a test, students receive 6 points for each correct answer and are penalized by losing 2 points 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
4
Answer: D
Question: Tough and Tricky questions: Word Problems.
It takes Sarah 20 minutes to do one oil change, and it takes Alice 12 minutes. If Sarah and Alice both begin doing oil changes at exactly 9:00 a.m. without pausing, when is the first time at which they will finish changing the oil of a car simultaneously?
Choices:
10:00 a.m.
12:00 a.m.
1:00 p.m.
2:00 p.m.
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:
166
245
777
765
Answer: B
Question: A firm has 4 senior partners and 6 junior partners. How many different groups of 3 partners can be formed in which at least one member of the group is a senior partner. (2 groups are considered different if at least one group member is different)
Choices:
100
120
288
600
Answer: A
Question: Three 6 faced dice are thrown together. The probability that all the three show the same number on them is -
Choices:
1/36
5/9
5/12
1/4
Answer: A
Question: 10 solid colored balls in a box, including 1 Green and 1 Yellow. If 3 of the balls in the box are chosen at random, without replacement, what is the probability that the 3 balls chosen will include the Green ball but not the yellow ball.
Choices:
7/30
1/4
3/10
4/15
Answer: A
Question: Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.5400. How much third person will get?
Choices:
1256
2186
2286
2400
Answer: D
Question: A 1.5 by 2 rectangle is inscribed in circle. What is the circumference of the circle?
Choices:
2.5π
3.5π
4π
5.5π
Answer: A
Question: A man takes 5hr 45min in walking to certain place and riding back. He would have gained 2hrs by riding both ways. The time he would take to walk both ways is?
Choices:
7 hr 45 min
6 hr 45 min
6 hr 15 min
7 hr 10 min
Answer: A
Question: A man covered a certain distance at some speed. If he had moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. What is the distance in km?
Choices:
38
40
42
45
Answer: B
Question: The purchase price of an article is $48. In order to include 30% of cost for overhead and to provide $12 of net profit, the markup should be
Choices:
25%
35%
40%
55%
Answer: D
Question: A particular store purchased a stock of turtleneck sweaters and marked up its cost by 20%. During the New Year season, it further marked up its prices by 25% of the original retail price. In February, the store then offered a discount of 10%. What was its profit on the items sold in February?
Choices:
30%
35%
37.5%
40%
Answer: B
Question: A and B walk around a circular track. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. If they start at 8 a.m. from the same point in opposite directions, how many times shall they cross each other before 9.30 a.m.?
Choices:
9.80 am
9.30 am
9.32 am
5.30 am
Answer: B
Question: George's drawer has 10 loose black socks, 15 loose blue socks, and 8 loose white socks. If George takes socks out of the drawer at random, how many would he need to take out to be sure that he had at least two matching pairs of socks in two different colors?
Choices:
6
9
15
18
Answer: D
Question: If q<0, which of the following must be true?
Choices:
q ≤ –1
q ≤ 1
q^2 ≥ 1/4
–100 < q < 0
Answer: B
Question: How many days will there be from 26th January,1996 to 15th May,1996(both days included)?
Choices:
103
111
120
121
Answer: B
Question: The greatest possible length which can be used to measure exactly the length 10m, 10m 80cm, 10 m 90 cm is
Choices:
25 cm
35 cm
10 cm
43 cm
Answer: C
Question: In an elaction between two candidates, 10% of votes are were declares invalid. First candidate got 1800 votes which were 60% of the total valid votes . The total number of votes enrolled in that election was?
Choices:
10000 votes
11000 votes
12000 votes
13000 votes
Answer: A
Question: Adam borrowed some money at the rate of 6% p.a. for the first two years, at the rate of 9% p.a. for the next three years, and at the rate of 14% p.a. for the period beyond four years. If he pays a total interest of 11,600 at the end of nine years, how much money did he borrow?
Choices:
12,210
14,210
16,210
16,410
Answer: A
Question: A fair sided dice labeled 1 to 6 is tossed 2 times. What is the probability the sum of the 2 throws is 5?
Choices:
7/216
4/36
9/216
11/216
Answer: B
Question: A car traveled 75% of the way from Town A to Town B at an average speed of 75 mph. The car traveled at an average speed of v mph for the remaining part of the trip. The average speed for the entire trip was 50 mph. What is v in mph?
Choices:
35
25
40
45
Answer: B
Question: A box contains either blue or red flags. The total number of flags in the box is an even number. A group of children are asked to pick up two flags each. If all the flags are used up in the process such that 60% of the children have blue flags, and 45% have red flags, what percentage of children have flags of both the colors?
Choices:
5%
15%
20%
It can not be determined
Answer: A
Question: A plane was originally flying at an altitude of x feet when it ascended 2,000 feet and then descended 5,000 feet. If the plane's altitude after these two changes was 1/5 its original altitude, then the solution of which of the following equations gives the plane's original altitude, in feet ?
Choices:
1/3*(x - 3000) = x
x + 3000 = 1/3*x
x - 7000 = 1/3*x
x - 3000 = 1/5*x
Answer: D
Question: A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?
Choices:
271
72
27
28
Answer: B
Question: An inspector rejects 0.08% of the meters as defective. How many will be examine to project ?
Choices:
1500
2000
2300
2500
Answer: D
Question: In a division, divident is 686, divisior is 36 and quotient is 19. Find the remainder.
Choices:
B)3
C)2
D)5
E)6
Answer: B
Question: When x + p is divided by p , the quotient is n and there is no remainder. Which of the following must be the value of x?
Choices:
p(n - 1)
p(n + 1) + 2n
p(n - 1) + 2n
n(p + 1) (p − 1)
Answer: A
Question: John buys 100 shares of par value Rs. 10 each, of a company, which pays an annual dividend of 12% at such a price that he gets 10% on his investment. Find the market value of a share.
Choices:
12
5
6
8
Answer: A
Question: The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is:
Choices:
Rs. 3600
Rs. 3900
Rs. 4000
Rs. 4100
Answer: B
Question: Two numbers are in the ratio of 2:3 . if 4 is added in both numbers the ratio becomes 5:7. Find the difference between numbers.
Choices:
8
4
2
10
Answer: A
Question: Calculate the time it will take for a full tank of water to become completely empty due to a leak given that the tank could be filled in 10 hours, but due to the leak in its bottom it takes 11 hours to be filled ?
Choices:
80 hours
50 hours
120 hours
110 hours
Answer: D
Question: The cost price of an article is Rs. 100. To gain 50% after allowing a 50% discount, the market price of the article is :
Choices:
Rs. 400
Rs. 350
Rs. 300
Rs. 380
Answer: C
Question: Arun has certain number of books. It is not less than 15 and not more than 30. If he wants to give these books equally to 2 of his friends, then 1 book will remain. If he wants to give these books equally to 3 of his friends, then 2 books will remain. If he wants to give these books equally to 4 of his friends, then 3 books will remain. What is the number of books he had?
Choices:
23
25
26
27
Answer: A
Question: Out of 15 students in a class, 7 are from Maharashtra, 5 are from Karnataka, and 3 are from Goa. Four students are to be selected at random. What are the chances that at least one is from Karnataka?
Choices:
11/13
10/15
1/15
4/14
Answer: A
Question: From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there in the committee. In how many ways can it be done?
Choices:
B)656
C)696
D)724
E)756
Answer: D
Question: A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B's capital was used?
Choices:
7 months
5 months
8 months
10 months
Answer: A
Question: The product of the squares of two positive integers is 400. How many pairs of positive integers satisfy this condition?
Choices:
1
2
3
4
Answer: C
Question: (1/32)+(1/33)+……+(1/62)+(1/63) is including in which of the following ranges?
Choices:
1
1/2~1
1/2
3
Answer: B
Question: The average of 11 numbers is 50. If the average of first 6 numbers is 49 and that of last 6 is 52.Find the 6th number.
Choices:
55
56
57
58
Answer: B
Question: The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
Choices:
140 sq.units
167sq.units
178sq.units
176sq.units
Answer: A
Question: A circular logo is enlarged to fit the lid of a jar. The new diameter is 60 per cent larger than the original. By what percentage has the area of the logo increased?
Choices:
80
100
143.36
250
Answer: C
Question: At a dinner party 6 people are to be seated around a circular table. Two sitting arrangements are considered different only when the positions of the people are different relative to each other.What is the total number of possible sitting arrangements or the group?
Choices:
10
24
32
120
Answer: D
Question: If x, y, and z are all factors of 45, which of the following must be true?
Choices:
Either x = y, y = z, or x = z
x – y – z = even
The product xyz is odd
yz/x is an integer
Answer: C
Question: Of the total amount that Jill spent on a shopping trip, excluding taxes, she spent 60 percent on clothing, 20 percent on food, and 20 percent on other items. If Jill paid a 10 percent tax on the clothing, no tax on the food, and an 10 percent tax on all other items, then the total tax that she paid was what percent of the total amount that she spent, excluding taxes?
Choices:
10
30
25
15
Answer: A
Question: There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:
Choices:
20
100
415
150
Answer: A
Question: A,B,C invested the capitals in a business. If A invested Rs. 10,000 more than B and C invested Rs.20,000 more than A, then how should a profit of Rs.14,000 be divided among A,B and C? Given : Capital of B is Rs.10,000
Choices:
1000,3000,4000
3000,2000,5000
4000,2000,8000
4000,3000,8000
Answer: C
Question: he time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 42 kmph, find the speed of the stream?
Choices:
28 kmph
14 kmph
88 kmph
12 kmph
Answer: B
Question: In May, Xiang sold 15 used cars. For these 15 cars, the range of the selling price was $15,000 and the lowest selling price was $4,500. In June, Xiang sold 10 used cars. For these 10 cars, the range of the selling prices was $16,500 and the lowest selling price was $6,300. What was the range of the selling prices of the 25 used cars sold by Xiang in May and June?
Choices:
2. $15,750
3. $16,820
4. $18,300
5. $19,200
Answer: C
Question: Find the missing figures :
?% of 40 = 2.125
Choices:
5.31
8.71
7.71
4.51
Answer: A
Question: The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is?
Choices:
6
8
9
4
Answer: A
Question: The average weight of 60 men sitting in a plane had some value. A new person added to them whose weight was 100 kg only. Due to his arrival, the average weight of all the men decreased by 20 kg. Find the average weight of first 25 men?
Choices:
1302
1300
1320
1301
Answer: C
Question: A certain sum is invested at simple interest at 15% p.a. for two years instead of investing at 12% p.a. for the same time period. Therefore the interest received is more by Rs. 840. Find the sum?
Choices:
Rs. 9000
Rs. 14000
Rs. 17000
Rs. 27000
Answer: B
Question: If x < y < z and y-x > 9, where x is an even integer and y and z are odd integers, what is the least possible value of z - x?
Choices:
7
8
13
10
Answer: C
Question: A company decreased the price of its main product by 75%. Subsequently, the number of units sold increased such that the total revenue remained unchanged. What was the ratio of the percent increase in the units sold to the percent decrease of the original price for this product?
Choices:
1.33
3.33
4.33
1.45
Answer: A
Question: A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?
Choices:
5/9
7/9
8/9
1/3
Answer: A
Question: Rs.6490 is divided so that 4 times the first share, six times the 2nd share and twice the third share amount to the same. What is the value of the first share?
Choices:
s1880
s1660
s1550
s1770
Answer: D
Question: A completes a work in 12 days and B complete the same work in 24 days. If both of them work together, then the number of days required to complete the work will be?
Choices:
8 days
12 days
14 days
None
Answer: A
Question: There are 10 books on a shelf: 4 English books, 3 Spanish books and 2 Portuguese books. What is the probability of choosing 2 books in different languages?
Choices:
3/10
1/3
4/7
28/90
Answer: C
Question: Find the number of trailing zeros in the expansion of (20!*21!*22! ……… *33!)^3!.
Choices:
468
470
467
471
Answer: A
Question: A train covers a distance of 12 km in 10 min. If it takes 1 sec to pass a telegraph post, then the length of the train is?
Choices:
20
30
15
45
Answer: A
Question: A shepherd had n goats in the year 2000. In 2001 the no. of goats increased by 40%. In 2002 the no. of goats declined to 70%. In 2003 the no. of goats grew up 30%. In 2004, he sold 10% goats and then he had only 34,398 goats. The percentage increase of the no. of goats in this duration was :
Choices:
14.66 percent
11.33%
20%
None
Answer: A
Question: If y exceeds x by 25%, then x is less than y by?
Choices:
9%
20%
24%
10%
Answer: B
Question: There are 8 red, 7 blue and 6 green balls, 1 ball is picked up randomly thenwhat is the probability that neither blue nor green?
Choices:
3/31
4/17
3/19
probability=8/21
Answer: D
Question: The length of a rectangle is increased by 25% and its breadth is decreased by 20%. What is the effect on its area?
Choices:
10000
9279
2767
2676
Answer: A
Question: How many four digit numbers can be formed using the digits {1, 3, 4, 5, 7,9}(repetition of digits is not allowed)?
Choices:
360
456
132
564
Answer: A
Question: The simple interest on a certain sum of money for 2 l/2 years at 12% per
annum is Rs. 40 less tban the simple interest on the same sum for 3 ½ years at 10% per annum. Find the sum.
Choices:
Rs. 200.
Rs. 600.
Rs. 800.
Rs. 400.
Answer: C
Question: Point X is located on line segment AB and point Y is located on line segment CD. If AB = CD and AX < CY, then
Choices:
XB > YD
AX > XB
AX > CY
AX > AB
Answer: A
Question: Three houses of the same type were advertised to be let in a locality. Two men made separate applications for a house. What is the probability that each of them applied for the same house.
Choices:
1/3
1/6
1/9
1/27
Answer: A
Question: If 10% of 30% of 50% of a number is 90, then what is the number?
Choices:
6000
4400
4500
None of these
Answer: A
Question: The percentage profit earned by selling an article for $1920 is equal to the percentage loss incurred by selling the same article for $1280. At what price should the article be sold to make 25% profit?
Choices:
$1000
$2000
$5000
$6000
Answer: B
Question: A chemical lab is scheduled to go through two air ventilation systems, a basic system and a more advanced system that takes half an hour and 1.5 hours respectively to fully ventilate the room. If both ventilation systems were to operate at the same time with their respective constant rates, how many hours would it take to fully ventilate the chemical lab?
Choices:
1/3
2/5
5/4
3/8
Answer: D
Question: A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?
Choices:
6
5
4
2
Answer: B
Question: There is 60% increase in an amount in 6years at SI. What will be the CI of Rs. 15,000 after 3 years at the same rate?
Choices:
2572
4542
4965
3972
Answer: C
Question: Henry earns $120 a week from his job. His income increased and now makes $180 a week. What is the percent increase?
Choices:
60%
50%
40%
30%
Answer: B
Question: There are 5 blue pillow covers, 3 white pillow covers, and 9 green pillow covers in the wardrobe. What is the least number of pillow covers that you have to take out to make sure that you will have a matching pair?
Choices:
4
12
6
9
Answer: A
Question: A 5-year investment note offers a 10% return on purchase, and a compounding 5% for each year after the first. If there is a $500 penalty for early redemption, and the note is redeemed for $6430 after the second year, what was the original purchase price?
Choices:
$ 6,000
$ 6,100
$ 6,150
$ 6,200
Answer: A
Question: x, y, a, and b are positive integers of S. When x is divided by y, the remainder is 6. When a is divided by b, the remainder is 9. Which of the following is NOT a possible value for y + b?
Choices:
21
20
17
15
Answer: D
Question: The value of 51/4 * (125)0.25 is:
Choices:
5
5√5
√5
None
Answer: A
Question: Before leaving for his business trip, Chad asks his assistant to choose and pack three shirts from his closet, which currently contains eight shirts. If each shirt is a different color, including one blue shirt and one pink shirt, and the assistant chooses the shirts at random, what is the probability that the pink shirt will be one of the shirts packed but the blue shirt will not?
Choices:
4/7
5/14
11/28
15/56
Answer: D
Question: For which of the following does f(x)−f(y)=f(x−y) for all values of x and y?
Choices:
f(a)=a/2
f(a)=a+5
f(a)=2a−1
f(a)=|a|
Answer: A
Question: In a group of 100 adults, 40 percent of the women are left-handed. If there are 12 right-handed women in the group, how many men are in the group?
Choices:
52
54
40
62
Answer: C
Question: A man, a woman and a boy can together complete a piece of work in 4 days. If a man alone can do it in 6 days and a boy alone in 18 days, how long will a woman take to complete the work?
Choices:
36days
34days
42days
49days
Answer: A
Question: A train is 410 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length
Choices:
44 seconds
40 seconds
50 seconds
None of these
Answer: A
Question: The ratio between the length and the breadth of a rectangular park is 3:2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then what is the area of the park (in sq. m)?
Choices:
153650
153600
153700
153750
Answer: B
Question: The C.P of 17 books is equal to the S.P of 20 books. Find his gain% or loss%?
Choices:
16 2/8% loss
16 3/3% loss
36 2/3% loss
15% loss
Answer: D
Question: A store reported total sales of $400 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 in sales?
Choices:
17%
25%
65%
83%
Answer: B
Question: A person deposits 1/16 of his income as Provident Fund and 1/15 of the remaining as insurance premium. If he spends 5/7 of the balance on domestic needs and deposits an amount of Rs. 50 in the bank, his total income would be
Choices:
200
250
300
350
Answer: A
Question: Factor: 5x4y3 â€“ 80y3
Choices:
A) 5y3(x2 + 4)(x + 2)(x -2)
C) 3y3(x2 + 4)(x + 2)(x -3)
D) 3y3(x2 + 4)(x + 3)(x -2)
E) 3y3(x2 + 4)(x + 2)(x -4)
Answer: A
Question: Two dice are tossed. The probability that the total score is a prime number is
Choices:
5/12
1/2
7/9
3/8
Answer: A
Question: The average earning of amechanic for the first 4days of a week is Rs.32 and for the last four days is Rs.22. If heearns Rs.20 on the fourth day, his average earning forthe whole week is?
Choices:
s. 20
s. 32
s. 40
s. 28
Answer: D
Question: The speed of a boat in still water in 37 km/hr and the rate of current is 13 km/hr. The distance travelled downstream in 10 minutes is:
Choices:
10.6 km
11.4 km
11.22 km
8.33 km
Answer: D
Question: A salesperson received a commission of 3 percent of the sale price for each of the first 100 machines that she sold and 4 percent of the sale price for each machine that she sold after the first 100. If the sale price of each machine was $10,000 and the salesperson received a $40,000 commission, how many machines did she sell?
Choices:
103
105
115
125
Answer: D
Question: How many seconds will a 800 meter long train moving with a speed of 63 km/hr take to cross a man walking with a speed of 3 km/hr in the direction of the train ?
Choices:
48
26
11
18
Answer: A
Question: For any real number x, the operatoris defined as:
(x) = x(4 − x)
If p + 1 =(p + 1), then p =
Choices:
0
1
2
3
Answer: D
Question: Yid intended to type a seven-digit number, but the two 3's he meant to type did not appear. What appeared instead was the five-digit number 52115. How many different seven-digit numbers could Yid have meant to type?
Choices:
16
21
24
27
Answer: B
Question: The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the 1st and last places?
Choices:
B)360
C)256
D)196
E)400
Answer: A
Question: The average weight of 25 persons sitting in a boat had some value. A new person added to them whose weight was 46 kg only. Due to his arrival, the average weight of all the persons decreased by 5 kg. Find the average weight of first 25 persons?
Choices:
56 kg
56 kg
176 kg
739 kg
Answer: C
Question: In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was
Choices:
9674
2397
2700
3000
Answer: C
Question: At present, the ratio between the ages of Arun and Deepak is 4:3. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present?
Choices:
17
10
19
15
Answer: A
Question: The tens digit of a two-digit number is two more than its unit digit. The two-digit number is 7 times the sum of the digits. Find the units digits?
Choices:
2
4
5
1
Answer: A
Question: If u > 0, which of the following could be true?
I. u^3 > u^2
II. u^2 = u
III. u^2 > u^3
Choices:
III
IIIII
All of the above
None of the above
Answer: C
Question: A can give B 300 meters start and C 600 meters start in a kilometer race. How much start can B give C in a kilometer race?
Choices:
111.67
428.57
111.11
101.12
Answer: B
Question: Let x and y be positive integers, and r and s be single-digit positive integers. If x/y = r.sss, where the bar below the s indicates that the decimal repeats infinitely, which of the following CANNOT be true
Choices:
y = 1.5 × 10^b, where b is a positive integer.
y = 1.8 × 10^c, where c is a positive integer.
y = 2.5 × 10^d, where d is a positive integer.
y = 2.7 × 10^e, where e is a positive integer.
Answer: A
Question: If n = 2.0254 and n* is the decimal obtained by rounding n to the nearest hundredth, what is the value of n* – n?
Choices:
-0.0003
0.0007
0.0046
0.0153
Answer: C
Question: A collection of 20 coins, each with a face value of either 10 cents or 35 cents, has a total face value of $2.5. How many of the coins have a face value of 35 cents?
Choices:
2
6
8
7
Answer: A
Question: On average, activated yeast cells divide once every 120 minutes; that is, each individual cell divides into two individual cells over that time span. Given that a certain yeast colony consisted of 310,000 cells two hours ago, approximately how many cells will be populating the colony two hours from now?
Choices:
1,240,000
2,480,000
3,720,000
4,960,000
Answer: A
Question: A retailer buys a radio for Rs 225. His overhead expenses are Rs 15. He sellis the radio for Rs 350. The profit percent of the retailer is
Choices:
45.8%
25%
52%
None of these
Answer: A
Question: How many two-digit numbers are there whose remainder when divided by 11 is 1, and whose remainder when divided by 6 is 5?
Choices:
4
5
6
7
Answer: A
Question: How much water must be added to a 30 quarts of a 75% acid solution to reduce it to a 15%
solution of acid?
Choices:
120 qts
320 qts
420 qts
520 qts
Answer: A
Question: To be considered grade AF, an egg must weigh between 75 and 90 grams, including the shell. Shells of grade AF eggs weigh between 3 and 5 grams. What is the smallest possible mass, in grams, of a 12-egg omelet, assuming that only grade AF eggs are used, the shells are all discarded, and no mass is lost in the cooking process?
Choices:
840
864
900
1,080
Answer: A
Question: If a and b are positive integers such that a/b = 2.14, which of the following must be a divisor of a?
Choices:
12
25
102
107
Answer: D
Question: 3639 + 11.95 - x = 3054. Find the value of x.
Choices:
479.75
523.93
596.95
None of these
Answer: C
Question: The sume of the present ages of a father and his son is 60 years.Six years ago ,father’s ago was five times the age of the son.After 6 years,son’s age will be :
Choices:
14 years
18 years
20 years
None of these
Answer: C
Question: The 200 students in a group are to be seated in rows so that there is an equal number of students in each row. Each of the following could be the number of rows EXCEPT
Choices:
20
50
40
90
Answer: D
Question: Meena wrote all the numbers from 1 to 49,999 inclusive. How many digits did she write in total?
Choices:
196,889
238,889
250,889
264,889
Answer: B
Question: On the first day of her vacation, Louisa traveled 160 miles. On the second day, traveling at the same average speed, she traveled 280 miles. If the 160-mile trip took 3 hours less than the 280-mile trip, what was the average speed, in miles per hour?
Choices:
40
46
48
50
Answer: A
Question: If d is the standard deviation x, y, and z, what is the standard deviation of x - 5, y - 5, z - 5 ?
Choices:
d
15d
d + 5
d + 15
Answer: A
Question: Which of the following CAN be the least common multiple of two positive integers 15 and 30?
Choices:
30
10
5
25
Answer: A
Question: A traveler changes 150 pounds into rupees at the rate of Rs. 7000 for 100 pounds. He spends Rs. 9060 and changes the remaining amount back to pounds at the rate of 100 pounds to Rs. 7200. How many pounds will he get?
Choices:
20 pounds
66 pounds
55 pounds
99 pounds
Answer: A
Question: If 12/x is an integer and 4/x is an integer, which of the following must be true? I. 4/x is an integer II. 18/x is an integer III. 3/x is an integer
Choices:
II only
II,III only
I,III only
I only
Answer: D
Question: A salt manufacturing company produced a total of 5000 tonnes of salt in January of a particular year. Starting from February its production increased by 180 tonnes every month over the previous months until the end of the year. Find its average monthly production for that year?
Choices:
2765
6000
2989
9772
Answer: B
Question: Envelopes can be purchased for $1.50 per pack of 100, $1.00 per pack of 50, or $0.03 each. What is the greatest number of envelopes that can be purchased for $7.90?
Choices:
430
443
480
486
Answer: C
Question: How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 140 m length?
Choices:
12.5 sec
19.1 sec.
17.1 sec.
42.1 sec.
Answer: A
Question: If in a given number 5 8 9 4 3 2 7 6 1 4, we interchange the first and the second digits, the third and the fourth, the fifth and the sixth and so on, then counting from the right end, which digit will be sixth?
Choices:
2
4
5
6
Answer: A
Question: From Mumbai railway station,two Trains A and B start simultaneously from stations 400 miles apart, and travel the same route toward each other on adjacent parallel tracks. If Train A and Train B travel at a constant rate of 40 miles per hour and 40 miles per hour, respectively, how many miles will Train A have traveled when the trains pass each other, to the nearest mile?
Choices:
133
150
167
180
Answer: D
Question: Mixture of milk & water has been kept in two separate bowl. Ratio of milk to water in one of the bowls is 5 : 1 and that in the other bowl 7 : 2. In what ratio the mixtures of these 2 bowl should be added together so that the quantity of milk in the new mixture may become 80%?
Choices:
2:3
4:7
5:7
6:7
Answer: A
Question: Find out the square of a number which when doubled exceeds its one eighth by 15 ?
Choices:
25
19
64
17
Answer: C
Question: Four of the five parts numbered (a),(b),(c),(d) and (e) in the following equation are exactly equal. Which of the parts is not equal to the other four? The number of that part is the answer.
Choices:
113 × 25 × 2
27 × 25 × 8 + 15 × 6 + 4 × 40
226 × 5 + 113 × 45 =
50(2) × 2 + 13 × 50
Answer: C
Question: Find the principle on a certain sum of money at 5% per annum for 2 2/5 years if the amount being Rs.1120?
Choices:
1000
9999
2777
2661
Answer: A
Question: A baseball card decreased in value 20% in its first year and 10% in its second year. What was the total percent decrease of the card's value over the two years?
Choices:
28%
32%
36%
72%
Answer: A
Question: 1, 8, 27, 64,...
Choices:
48
59
63
125
Answer: D
Question: A certain board game has a row of squares numbered 1 to 100. If a game piece is placed on a random square and then moved 11 consecutive spaces in a random direction, what is the probability the piece ends no more than 11 spaces from the square numbered 49?
Choices:
23%
25%
26%
27%
Answer: A
Question: A block of wood has dimensions 10cm x 10cm x 90cm. The block is painted red and then cut evenly at the 45 cm mark, parallel to the sides, to form two rectangular solids of equal volume. What percentage of the surface area of each of the new solids is not painted red?
Choices:
5%
15%
20%
25%
Answer: A
Question: Ashok secured average of 78 marks in 6 subjects. If the average of marks in 5 subjects is 74, how many marks did he secure in the 6th subject?
Choices:
98
99
17
80
Answer: A
Question: The cost of 20 packets of sugar, each weighing 900 grams is Rs. 28. What will be the cost of 27 packets, if each packet weighs 1 kg?
Choices:
Rs 42
Rs 58.50
Rs 64.75
None of these
Answer: A
Question: 4, 5, 7, 11, 19, (...)
Choices:
35
27
32
25
Answer: A
Question: A, B and C invests Rs.2000, Rs.3000 and Rs.4000 in a business. After two year A removed his money; B and C continued the business for one more year. If the net profit after 3 years be Rs.4800, then A's share in the profit is?
Choices:
400
678
867
768
Answer: D
Question: Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?
Choices:
1800
2500
2700
2900
Answer: A
Question: A student committee that must consists of 6 members is to be formed from a pool of 9 candidates. How many different committees are possible
Choices:
8
40
56
84
Answer: D
Question: 31 of the scientists that attended a certain workshop were Wolf Prize laureates, and 12 of these 31 were also Nobel Prize laureates. Of the scientists that attended that workshop and had not received the Wolf prize, the number of scientists that had received the Nobel Prize was 3 greater than the number of scientists that had not received the Nobel Prize. If 50 of the scientists attended that workshop, how many of them were Nobel Prize laureates?
Choices:
B)23
C)24
D)29
D)36
Answer: A
Question: A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?
Choices:
240
108
369
879
Answer: B
Question: 396, 462, 572, 427, 671, 264
Choices:
427
671
264
572
Answer: A
Question: 8900 ÷ 6 ÷ 4 = ?
Choices:
370.835
370.832
370.833
370.831
Answer: C
Question: What is the cost of leveling the field in the form of parallelogram at the rate of Rs.70/10 sq.metre, whose base & perpendicular distance from the other side being 84m & 24m respectively?
Choices:
s.2016
s. 1400
s. 3480
s. 2000
Answer: A
Question: A certain bag contains 60 balls — 22 white, 18 green, 8 yellow, 5 red, and 7 purple. If a ball is to be chosen at random, what is the probability that the ball will be neither red nor purple?
Choices:
0.15
0.54
0.8
0.91
Answer: C
Question: If a and b are both prime numbers greater than 10, which of the following CANNOT be true?
I. ab is an even number.
II. a - b = 117.
III. The sum of a and b is even.
Choices:
I and II only
I and III only
II and III only
I, II and III
Answer: A
Question: The respective ages of father and his son are 40 and 16 years. In how many years will the father be twice as old as his son ?
Choices:
8 years
10 years
15 years
12 years
Answer: A
Question: Sonia's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
Choices:
6 Years
4 Years
2 Years
None
Answer: A
Question: If Jan 1, 2006 was a Sunday, What was the day of the week Jan 1, 2010?
Choices:
Friday
Tuesday
Saturday
Monday
Answer: A
Question: A warehouse is labeling computer inventory with 5-digit codes. Each code is to consist of four digits between the numbers 0 and 9. The manager is debating whether to allow any 5-digit codes to have leading zero's before a non-zero number is used. If not allowed, then numbers like0025cannot be used.
The manager wants to measure the magnitude of the number of 5-digit code possibilities that are lost if he disallows the use of leading zero's. How many such codes would be lost?
Choices:
1000
1011
10000
1110
Answer: C
Question: The smallest prime number is?
Choices:
2
3
4
5
Answer: A
Question: The average age of 40 students in a class is 15 years. If the age of teacher is also included, the average becomes 16 years, find the age of the teacher.
Choices:
27
28
26
56
Answer: D
Question: From a group of 14 astronauts that includes 5 people with previous experience in space flight, a 3-person crew is to be selected so that exactly 1 person in the crew has previous experience in space flight. How many different crews of this type are possible?
Choices:
190
165
180
200
Answer: C
Question: Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 15 minutes. The waste pipe can empty the full cistern in?
Choices:
B)6
C)8
D)10
E)5
Answer: C
Question: 3^(2x/3)=1^(5x)
What is the value of x ?
Choices:
2/3
0
1/2
3/4
Answer: B
Question: You have a bucket of jelly beans. Some are red, some are blue, and some green. With your eyes closed, pick out 2 of a like color. How many do you have to grab to be sure you have 2 of the same?
Choices:
4
5
6
7
Answer: A
Question: 11234783131.What are the next three numbers?
Choices:
178
176
191
192
Answer: C
Question: What is the sum of the local values of the digits 2, 3, 4, 5 in the number 2345?
Choices:
2345
2977
1280
1811
Answer: A
Question: In a series of football matches, the probability that Team P wins a match against Team Q is 1/4 and the probability that the match ends in a draw is 1/3. If the two teams play five matches, what is the probability that all five matches end in a draw?
Choices:
1/243
1/27
1/9
1/3
Answer: A
Question: Ayesha’s father was 38 years of age when she was born while her mother was 32 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
Choices:
4 years
6 years
10 years
None
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:
426 meters
500 meters
165 meters
156 meters
Answer: B
Question: A particular library has 75 books in a special collection, all of which were in the library at the beginning of the month. These book are occasionally loaned out through an inter-library program. If, by the end of the month, 80 percent of books that were loaned out are returned and there are 65 books in the special collection at that time, how many books of the special collection were loaned out during that month?
Choices:
30
35
40
50
Answer: D
Question: A batsman scored 120 runs which included 6 boundaries and 4 sixes. What % of his total score did he make by running between the wickets
Choices:
60%
65%
70%
75%
Answer: A
Question: Find the cost of fencing around a circular field of diameter 28 m at the rate of Rs.1.50 a meter?
Choices:
B)Rs.132
C)Rs.100
D)Rs.125
E)Rs.225
Answer: A
Question: N is the greatest number which divides 1305, 4665 and 6905 and gives the same remainder in each case. What is the sum of the digits in N?
Choices:
4
6
5
2
Answer: A