antoine-444/aqua_rat_dataset huggingface dataset:
Question: A train covers a distance of 12 km in 10 min. If it takes 15 sec to pass a telegraph post, then the length of the train is?
Choices:
300 m
120 m
200 m
166 m
Answer: A
Question: Each shelf of a bookcase contained 12 books. If the librarian took out 21 books and rearranged the remaining books so that all shelves but one contained 8 books and the last shelf contained 15 books, how many shelves does the bookcase have?
Choices:
4
5
6
7
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:
648
1800
2700
180
Answer: B
Question: What is the twenty-eighth decimal to the right in the fraction 32/33?
Choices:
2
4
6
8
Answer: C
Question: Aamir saves 32% of his monthly salary. If he spends Rs. 27200, then find his savings?
Choices:
14300
13200
12800
None of these
Answer: C
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:
275 m
245 m
285 m
345 m
Answer: B
Question: what is rate of interest if principal.amount be 400,simple interest 180 and time 2year.
Choices:
12.5
25
22.5
14.5
Answer: C
Question: If a population of women in a town is 90% of men . What is the population of men as a % of population of women ?
Choices:
105%
111%
112%
114%
Answer: B
Question: A clock shows the time as 3:30 P.m. If the minute hand gains 2 minutes every hour, how many minutes will the clock gain by 3 a.m.?
Choices:
23 Minutes
25 Minutes
26 Minutes
None of these
Answer: A
Question: $200 is divided amongst A,B and C so that A may get 2/3 as much as B and C together, B may get 6/9 as much as A and C together, then the share of A is
Choices:
$80
$25
$200
$50
Answer: A
Question: Find the C.I. on a sum of Rs.2000 for 6 months at 20% per annum, interest being compounded quarterly?
Choices:
205
3025
5540
315
Answer: A
Question: If there are 2 wheelers and 4 wheelers parked in a school located at the heart of the city, find the number of 4 wheelers parked there if there were 58 wheels are parked there
Choices:
10
22
21
20
Answer: A
Question: If on an item a company gives 25% discount, they earn 25% profit. If they now give 10% discount then what is the profit percentage.
Choices:
55%
35%
30%
50%
Answer: D
Question: If X:Y = 8:9 and Y:Z = 5:2 then X:Y:Z is
Choices:
40:45:18
40:42:18
41:45:18
40:55:18
Answer: A
Question: A shopkeeper loses 15%,if an article is sold for Rs. 170. What should be the selling price of the article to gain 20%?
Choices:
s.248
s.240
s.229
s.212
Answer: B
Question: Machine A can do a certain job in 8 hours. Machine B can do the same job in 10 hours. Machine C can do the same job in 12 hours. All three machines start the job at 9:00 a.m. Machine A breaks down at 11:00 a.m., and the other two machines finish the job. Approximately what W time will the job be finished?
Choices:
12:30 p.m.
1:00 p.m.
1:30 p.m.
2:00 p.m.
Answer: B
Question: To furnish a room in a model home an interior decorator is to select 2 chairs and 2 tables from the collection of chairs and tables in a warehouse that are all different from each other. If there are 5 chairs in the warehouse and if 150 different combinations are possible, how many tables t are there in the warehouse?
Choices:
6
10
15
30
Answer: A
Question: 0.012 x 0.5 = ?
Choices:
0.06
0.6
0.006
6.0
Answer: C
Question: If y is the smallest positive integer such that 7350 multiplied by y is the square of an integer, then y must be
Choices:
5
6
7
14
Answer: B
Question: There are 24 different four-digit integers than can be formed using the digits 2, 3, 4 and 5 exactly once in each integer. The addition problem above shows 4 such integers. What is the sum of all 24 such integers?
Choices:
28,000
84,844
90,024
93,324
Answer: D
Question: Of the films Empty Set Studios released last year, 60% were comedies and the rest were horror films. 75% of the comedies were profitable, but 75% of the horror moves were unprofitable. If the studio made a total of 40 films, and broke even on none of them, how many of their films were profitable?
Choices:
19
20
21
22
Answer: D
Question: Numbers greater than 1000 but not greater than 4000 which can be formed with the digits 0, 1, 2, 3, 4 (repetition of digits is allowed), are.
Choices:
375
450
576
None
Answer: A
Question: A small pool filled only with water will require an additional 500 gallons of water in order to be filled to 80% of its capacity. If pumping in these additional 500 gallons of water will increase the amount of water in the pool by 30%, what is the total capacity of the pool in gallons?
Choices:
1250
1300
1600
1875
Answer: D
Question: Avg cost of 2 biscuitss and 4 choclates isRs. 60.The avg cost of 4 biscuitss and 6 choclates is Rs.100.Find the total cost of 20 biscuitss and 20 choclates?
Choices:
180
150
200
110
Answer: C
Question: The difference between C.I. and S.I. on an amount of $20,000 for 2 years is $98. What is the rate of interest per annum?
Choices:
8%
7%
6%
5%
Answer: B
Question: Simplify: 32 ÷ 8 × 24 + 16 =
Choices:
124
120
115
112
Answer: D
Question: Two trains 131 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
Choices:
7.12
7.21
7.34
7.51
Answer: C
Question: A train is 410 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
Choices:
18 seconds
40 seconds
19 seconds
44 seconds
Answer: D
Question: For 15 people each has to pay Rs.20.For 20 people each has to pay Rs.18. For 40 people--how much has each to pay?
Choices:
10
15
20
25
Answer: A
Question: The number of meters in EB is equal to the square root of the number of centimeters in EB. What is the length of EB (1 meter=100 centimeters)?
Choices:
100 meters
100 centimeters
10 centimeter
1 centimeter
Answer: A
Question: A business executive and his client are charging their dinner tab on the executive's expense account.The company will only allow them to spend a total of 50$ for the meal.Assuming that they will pay 7% in sales tax for the meal and leave a 20% tip,what is the most their food can cost?
Choices:
40.63$
38.63$
37.88$
35.15$
Answer: B
Question: A train 400 m long can cross an electric pole in 10 sec and then find the speed of the train?
Choices:
144 Kmph
172 Kmph
175 Kmph
178 Kmph
Answer: A
Question: In 1982 and 1983, Company B’s operating expenses were $12.0 million and $15.0 million, respectively, and its revenues were $15.6 million and $18.8 million, respectively. What was the percent increase in Company B’s profit (revenues minus operating expenses) from 1982 to 1983 ?
Choices:
5 5/9%
25%
33 1/3%
60%
Answer: A
Question: A start walking from a place at a uniform speed of 5 kmph in a particular direction. After half an hour, B starts from the same place and walks in the same direction as A at a uniform speed and overtakes A after 1 hour 48 minutes. Find the speed of B.
Choices:
5.6 kmph
4 kmph
7 kmph
5.3 kmph
Answer: A
Question: The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 kms in 4 hours, then the speed of the first train is
Choices:
87.5 km/h
42.5 km/h
32.5 km/h
61.5 km/h
Answer: A
Question: what is the total number of factor of 16!
Choices:
5376
6376
7376
8376
Answer: A
Question: 123 typists typeed 984 papers in 1/15 hour. The number of papers typed for minute by a average typist is
Choices:
2
4
5
9
Answer: A
Question: A project scheduled to be carried out over a single fiscal year has a budget of $12,600, divided into12 equal monthly allocations. At the end of the sixth month of that fiscal year, the total amount actually spent on the project was $6,580. By how much was the project over its budget?
Choices:
$540
$280
$1,380
$1,430
Answer: B
Question: If a 10 percent deposit that has been paid toward the purchase of a certain product is $110, how much more remains to be paid?
Choices:
$990
$1,000
$1,100
$1,210
Answer: A
Question: Mother,her daughter and her grand child weighs 160 kg. daughter and her daughter(child) weighs 60 kg. child is 1/5th of her grand mother. What is the age of the daughter?
Choices:
47
48
49
40
Answer: D
Question: An alloy weighing 18 ounces is 70 percent gold. How many ounces of pure gold must be added to create an alloy that is 90 percent gold?
Choices:
90
12
24
48
Answer: A
Question: A box contains six bulbs out of which 3 are defective. If three bulbs are chosen at random, find the probability that all the three bulbs are defective?
Choices:
1/20
1/29
1/36
1/26
Answer: A
Question: The ratio of the ages of Mini and Minakshi is 4 : 3. The sum of their ages is 35 years. The ratio of their ages after 8 years will be
Choices:
28 : 23
5 : 4
3 : 5
7 : 11
Answer: A
Question: Who is to the immediate right of E?
Choices:
221
I and II
I and III
II and III
Answer: A
Question: A Fruit store sells four varieties of Mangoes. A,B,C & D. IF A Costs 20% less than B, and C costs 25% less than A,and D costs 45% less than C what percent of B's cost is D?
Choices:
33%
44%
36%
42%
Answer: A
Question: Meg and Bob are among the 6 participants in a cycling race. If each participant finishes the race and no two participants finish at the same time, in how many different possible orders can the participants finish the race so that Meg finishes ahead of Bob?
Choices:
30
360
90
120
Answer: B
Question: A field of 40 meter long and 35 metre wide.The field is surronded by a path of uniform width of 2.5 metre runs round it on the outside.Find the Volume of the path?
Choices:
Cannot be determine
500
100
250
Answer: A
Question: How many ways the three digits number (XYZ) can be formed in the form XZ?
Choices:
550
554
566
576
Answer: D
Question: 54671 - 14456 - 33466 = ?
Choices:
5449
6749
6449
6468
Answer: B
Question: Tea worth Rs.126 per kg are mixed with a third variety in the ratio 1: 1 : 2. If the mixture is worth Rs.157 per kg, the price of the third variety per kg will be
Choices:
Rs.179.50
Rs. 175.50
Rs. 180
None
Answer: A
Question: Two positive integers differ by 4, and sum of their reciprocals is 1. Then one of the numbers is
Choices:
2
c) 5
d) 21
e) 28
Answer: A
Question: 60 percent of movie theatres in Town X have 1 screens or less. 20% of those theatres sell an average of more than $300 worth of popcorn per showing. 56 percent of all the movie theatres in Town X sell $300 or less of popcorn per showing. What percent of all the stores on the street have 4 or more screens and sell an average of more than $300 worth of popcorn per day?
Choices:
18
32
40
44
Answer: C
Question: In how many different ways can be letters of the word SOFTWARE be arranged in such a way that the vowels always come together?
Choices:
1440
360
120
None of these
Answer: D
Question: How many integers from 1 to 100 (both inclusive) have odd number of factors?
Choices:
8
9
10
Greater than 10
Answer: C
Question: 10 men can complete a piece of work in 35 days. In how many days can 7 men complete that piece of work?
Choices:
46 days
22 days
29 days
50 days
Answer: D
Question: The price of an item is discounted 10 percent on day 1 of a sale. On day 2, the item is discounted another 10 percent, and on day 3, it is discounted an additional 10 percent. The price of the item on day 3 is what percentage of the sale price on day 1?
Choices:
40%
64.8%
70%
81%
Answer: D
Question: Find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 9 cm and 6 cm?
Choices:
150 cm2
1678 cm2
776 cm2
678 cm2
Answer: A
Question: If a boat goes 7 km upstream in 42 minutes and the speed of the stream is 3 kmph, then the speed of
the boat in still water is
Choices:
13 kmph
14 kmph
15 kmph
None of these
Answer: A
Question: One soap can be made out of the scraps obtained while preparing 11 soaps. How many soaps can be prepared out of the scrap obtained out of 251 soaps. (Take all possibilities)
Choices:
25
26
27
28
Answer: A
Question: Which of the following is the sum of all the even numbers between 1 and 91, inclusive?
Choices:
2450
2600
2499
2446
Answer: D
Question: In a group of 8 engineers, 3 engineers have a PHD degree; the others have only an MS or BS degree. A team of 3 engineers is to be chosen which must have at least 1 engineer with a PHD, how many different teams can be chosen?
Choices:
46
64
65
10
Answer: A
Question: A toothpaste manufacturer has set an annual production target to gain more profits. This year the target reached is 1/10 of last year's target. If the target production this year is increased 5% of the last year's target, how much percentage of the last year's target does he still need to reach to get the profit?
Choices:
3/6
20/20
10/5
4/3
Answer: B
Question: A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.5 per sq m?
Choices:
3357
3328
3329
3375
Answer: D
Question: What is the units digit of 17^83 × 13^52 × 11^87?
Choices:
5
6
7
8
Answer: A
Question: The sum of two numbers is 50 and their difference is 10. Find their product.
Choices:
600
315
325
335
Answer: A
Question: Which of the following has most number of divisors?
Choices:
101
176
182
None of these
Answer: B
Question: A man takes 5 hours 45 min. In walking to a certain place and riding back. He would have gained 2 hours by riding both ways. The time he would take to walk both ways is :
Choices:
11 hrs 45 min
7 hrs 30 min
7 hrs 45 min
None
Answer: A
Question: The no. of gift pack bought by Dexter is 1 more than the price, in rupees, of each gift pack. The amount of Rs.380 which Dexter had, fell short of the required amount. What is theamount by which he might have fallen short.
Choices:
40
50
60
80
Answer: A
Question: Given that 268x74= 19332, find the value of 2.68x.74.
Choices:
1.9332
1.5693
1.0266
None
Answer: A
Question: After successive discounts of 20%, 10% and 5% a certain good is sold for Rs. 6700. Find the actual price of the good.
Choices:
s. 9000
s. 10800
s. 9795
s. 9980
Answer: C
Question: The sum and product of two numbers are 12 and 35 respectively. The sum of their reciprocals is
Choices:
12/35
35/8
35/9
1/45
Answer: A
Question: Given f(x) = 2x – 3, for what value of x does 2*[f(x)] – 11 = f(x – 2) ?
Choices:
3
4
5
6
Answer: C
Question: The speed of a boat in still water in 20 km/hr and the rate of current is 3 km/hr. The distance travelled downstream in 24 minutes is:
Choices:
10.2
9.2
10.4
9.0
Answer: B
Question: A bag contains seven 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:
28/55
25/26
25/23
25/14
Answer: A
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.3960. What is the difference between Rohan’s and Sudhir’s share in the profit?
Choices:
s.350
s.352
s.360
s.368
Answer: C
Question: If k^2 = m^2, which of the following must be not true or false?
Choices:
k = −m
k = |m|
k = −|m|
A,B,C,D FALSE
Answer: D
Question: There are 200 rats in Rat-City. Out of the 200, 70 are street rats and the rest are domestic rats. 110 rats are gray, 30 out of the gray cats are NOT domestic ones. How many domestic rats are there which are not gray in Rat-City?
Choices:
50
60
40
25
Answer: A
Question: The editor of an anthology of short stories has to select authors from a pool of 12 authors, of which 4 are female. If the anthology is to include the work of 8 authors of which at least 2 must be female, in how many ways can the editor select the authors?
Choices:
201
294
462
495
Answer: C
Question: Line Q has the equation 3x + y = 7. Which of the following lines is perpendicular to Line Q?
Choices:
y = –3x – 6
y = (1/3)x – 1
y = (–1/3)x + 2
y = (–7/3)x – 5
Answer: B
Question: 0.01 is what percent of 0.1?
Choices:
10%
100%
50%
25%
Answer: A
Question: if 5 a = 3125, then the value of 5(a-3) is :
Choices:
25
625
1625
None of these
Answer: A
Question: The average (arithmetic mean)T of the four distinct positive integers p, q, s and t is x. If p and q are odd, and s and t are even, which of the following must be true?
I. x is an integer
II. (x−0.5) is an integer.
III. 2x is an odd integer.
Choices:
II only
III only
II and III only
None of the above
Answer: D
Question: A certain sum of money at simple interest amounted Rs.840 in 10 years at 3% per annum, find the sum?
Choices:
277
299
646
261
Answer: C
Question: If an integer n is to be chosen at random from the integers 1 to 96, inclusive, what is the probability that n(n + 1)(n + 2) will be divisible by 4?
Choices:
3/8
1/2
5/8
3/4
Answer: D
Question: A train is 360 meter long is running at a speed of 56 km/hour. In what time will it pass a bridge of 140 meter length.
Choices:
12.14 seconds
22.14 seconds
32.14 seconds
None of these
Answer: C
Question: If the sum of a number and its square is 132, then what is the number?
Choices:
11
12
13
14
Answer: A
Question: . How many shots of 1cm radius can be prepared from a sphere of 3cm radius?
Choices:
72
27
83
83
Answer: B
Question: If c<0, which of the following represents a positive number?
Choices:
|c|c
-c|c|
c/ |c|
c|c|
Answer: B
Question: Arun took a loan of Rs. 1400 with simple interest for as many years as the rate of interest. If he paid Rs.686 as interest at the end of the loan period, what was the rate of interest?
Choices:
6%
4%
7%
5%
Answer: C
Question: Find the largest number of five digits which is exactly divisible by 12 and 15 ?
Choices:
A)12960
C)10025
D)11080
E)12080
Answer: A
Question: Find H.C.F. of 0.63 and 1.05
Choices:
0.35
0.5
0.17
0.21
Answer: D
Question: Jansi’s age is one-sixth of her mother’s age. Jansi’s mother’s age will be two times of Lenin’s age after 10 years. If Lenin’s 8-th birthday was celebrated 2 years before, then what is Jansi’s current age?
Choices:
5 years
7 years
8 years
9 years
Answer: A
Question: If n is a positive integer and the product of all integers from 1 to n, inclusive, is a multiple of 440, what is the least possible value of n?
Choices:
11
12
13
14
Answer: A
Question: If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:
Choices:
9
4
13
None
Answer: B
Question: Different breeds of dogs get older at different rates in “dog years.” Livonian wolfhounds age 6 times as fast as humans, whereas Khazarian terriers age 5 times as fast and Akkadian retrievers age 4 times as fast. If Dan bought a newborn Akkadian on January 1, 2010, a newborn Khazarian 1 year later, and a newborn Livonian 1 year after that, in what year will the sum of the dog-year ages of the Akkadian and the Khazarian first be exceeded by twice the age of the Livonian in dog years, rounding all ages down to the nearest integer?
Choices:
2017
2015
2016
2013
Answer: A
Question: If the sides of a triangle are 196 cm, 81 cm and 277 cm, what is its area?
Choices:
5656
7878
7900
7938
Answer: D
Question: Presently a mixture in a tub contains substances A and B in the ratio of 7:5. If 9 litres of this solution is drawn out and B is added to the mixture in certain quantity the resulting mixture becomes 7:9. How much litres of liquid A was kept in the tub initially?
Choices:
265
88
21
91
Answer: C
Question: For each hour of production, a certain factory requires 1 assembly line worker for every 25 units to be produced in that hour. The factory also requires 14 managers regardless of the number of units to be produced. Which of the following expressions represents the total number of assembly line workers and managers that this factory requires to produce 50N in one hour, where N is a positive integer?
Choices:
12 + 2N
62N
37N
14 + 2N
Answer: D
Question: A and B can do a work in 25 days and 10 days respectively. A starts the work and B joins him after 2 days. In how many days can they complete the remaining work?
Choices:
4.28 days
5.28 days
6.28 days
2.28 days
Answer: A
Question: A 20 litre mixture of milk and water contains milk and water in the ratio 3 : 2. 10 litres of the mixture is removed and replaced with pure milk and the operation is repeated once more. At the end of the two removal and replacement, what is the ratio Q of milk and water in the resultant mixture?
Choices:
9 : 1
3 : 17
5 : 3
11: 2
Answer: A
Question: The ratio of the ages of Anil and his son at present is 7:3. Six years hence, the ratio of the ages of the Anil's wife and the son will be 2:1. Find the ratio of the present ages of Anil and his wife?
Choices:
2:9
2:4
Cannot be determined
None of these
Answer: C
Question: Twenty six years ago,a father was three times as old as his son.Now the father is only twice as old as his son. Then the sum of the present ages of the son and the father is :
Choices:
156
108
105
86
Answer: A
Question: 55% of respondents to a survey consisted of those who used both M and N and those who used neither M nor N. 47% of respondents did not use M. 40% used N. What percent of respondents used only N?
Choices:
16%
20%
18.5%
17.5%
Answer: A
Question: A palindrome is a word or a number that reads the same forward and backward. For example, 2442 and 111 are palindromes. If 5-digit palindromes are formed using one or more of the digits 1, 2, 3, 4, 5, and 6, how many palindromes are possible?
Choices:
96
132
216
256
Answer: C
Question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Choices:
40 sec
12 sec
85 sec
56 sec
Answer: A
Question: A and B walk around a circular track. They start at 8 a.m. from the same point in the opposite directions. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. How many times shall they cross each other before 9.30 a.m. ?
Choices:
9.36 a.m
9.30 a.m
9.10 a.m
9.40 a.m
Answer: B
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
209
280
892
Answer: A
Question: One train is traveling 45 kmph and other is at 10 meters a second. Ratio of the speed of the two trains is?
Choices:
5:4
5:1
5:2
5:9
Answer: A
Question: The sum of the ages of a father and son is 45 years. Five years ago, the product of their ages was four times the fathers age at that time. The present age of father and son
Choices:
35,10
36,9
40,5
41,5
Answer: B
Question: A train traveling at 100 kmph overtakes a motorbike traveling at 64 kmph in 18 seconds. What is the length of the train in meters?
Choices:
180 meters
1777 meters
1822 meters
None of these
Answer: A
Question: A, B and C can do a work in 7 , 14 and 21 days respectively. They completed the work and got Rs.242. What is the share of C?
Choices:
44
55
11
31
Answer: A
Question: How many times the keys of a writer have to be pressed in order to write first 50 counting no's?
Choices:
91
92
93
94
Answer: C
Question: An electric motor makes 3,000 revolutions per minutes. How many degrees does it rotate in one second?
Choices:
17,000 degrees / second
16,000 degrees / second
18,000 degrees / second
28,000 degrees / second
Answer: C
Question: Two pipes A and B can fill a tank in 10 hrs and 40 hrs respectively. If both the pipes are opened simultaneously, how much time will be taken to fill the tank?
Choices:
8 hours
4 hours
2 hours
None of these
Answer: A
Question: If 6th March, 2021 is Thursday, what was the day of the week on 6th March, 2020?
Choices:
Saturday
Tuesday
Wednesday
None of these
Answer: C
Question: Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit?
Choices:
Rs.10521
Rs.10511
Rs.10411
Rs.10500
Answer: D
Question: How many distinct four-digit numbers can be formed by the digits {1, 2, 3, 4, 5, 5, 6, 6}?
Choices:
360
486
560
606
Answer: D
Question: A train 360 m long is running at a speed of 72 km/hr. In what time will it pass a bridge 140 m long?
Choices:
29 sec
25 sec
27 sec
34 sec
Answer: B
Question: The length of a rectangle is reduced by 22%. By what % would the width have to be increased to maintainthe original area?
Choices:
20%
28%
35%
40%
Answer: B
Question: The profit earned by selling an article for Rs. 832 is equal to the loss incurred when the same article is sold for Rs. 448. What should be the sale price for making 50% profit?
Choices:
960.
968.
9690.
260.
Answer: A
Question: The sum of the ages 4 members of a family 5years ago was 94.Today,when the daughter has been married off and replaced by a daughter-in-law,the sum of their ages is 100.Assuming that there has been no other change in the family structure and all members are alive,what is the difference in the ages of daughter and daughter-in-law ?
Choices:
11
25
14
16
Answer: C
Question: In a Lake, there is a patch of lily pads. Every day, the patch doubles in size. It takes 50 days for the patch to cover the entire lake, how many days would it take the patch to cover half of the lake?
Choices:
2^4*3
24
38
49
Answer: D
Question: In a garden, there are three blue flowers, three blue flowers, three yellow flowers, and three grey flowers. What is the probability that a girl will choose three flowers of the same color when randomly picking three flowers?
Choices:
3/55
7/55
4/33
1/55
Answer: D
Question: The radius of a cylinder is 2 r units and height is 3 r units. Find the curved surface?
Choices:
16
12
18
11
Answer: B
Question: 500 x 223 + 500 x 77 = ?
Choices:
2738800
150000
2716740
None of them
Answer: B
Question: j, b, and c are positive integers. If j, b, and c are assembled into the six-digit number jbcjbc, which one of the following must be a factor of jbcjbc?
Choices:
13
5
3
none of the above
Answer: A
Question: A car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 90 kilometers per hour. At what speed, in kilometers per hour, is the car traveling?
Choices:
72
72.5
73
85.7
Answer: D
Question: If Rs.540/- are divided among A,B and C in such a way that A’s share is ½nd of B share and B’s share is 1/3rd of C’s share. The share of A is?
Choices:
Rs.40/-
Rs.60/-
Rs.70/-
Rs.90/-
Answer: B
Question: Trains A and B start simultaneously from stations 200 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 20 miles per hour and 20 miles per hour, respectively, how many miles will Train A have traveled when the trains pass each other, to the nearest mile?
Choices:
100
150
167
188
Answer: A
Question: Caleb spends $66.50 on 50 hamburgers for the marching band. If single burgers cost $1.00 each and double burgers cost $1.50 each, how many double burgers did he buy?
Choices:
33
20
40
45
Answer: A
Question: If a train, travelling at a speed of 90 kmph, crosses a pole in 5 sec, then the length of train is?
Choices:
112 m
117 m
125 m
123 m
Answer: C
Question: A certain ball team has an equal number of right- and left-handed players. On a certain day, two-thirds of the players were absent from practice. Of the players at practice that day, two-third were right handed. What is the ratio of the number of right-handed players who were not at practice that day to the number of left handed players who were not at practice?
Choices:
2/3
5/7
7/5
3/2
Answer: B
Question: A certain gallery is hanging a series of 6 paintings. All the paintings will be exhibited in a row along a single wall. Exactly 2 of the paintings are on panel, the remainder are on canvas. In how many ways can the paintings be exhibited if the works on panel must be the second and sixth in the row?
OE
Choices:
200
122
80
36
Answer: D
Question: In how many ways can five boys and three girls sit in a row such that all boys sit together?
Choices:
B)2885
C)2880
D)2876
E)2224
Answer: B
Question: If n is a positive integer, what is the maximum possible number of prime numbers in the following sequences: n + 1, n + 2, n + 3, n + 4, n + 5, and n + 6?
Choices:
3
4
5
6
Answer: B
Question: Rahul's housing colony have One tap, working alone at its maximum constant rate, can fill a certain tank in 230 seconds. A second tap, working alone at its maximum constant rate, can fill the same tank in 234 seconds. If both taps work together at their respective maximum constant rates, the time it will take to fill the tank is closest to
Choices:
116 seconds
177 seconds
200 seconds
270 seconds
Answer: A
Question: When the no.7y86038 is exactly divisible by 11, then the smallest whole no.in place of y?
Choices:
3
6
7
9
Answer: A
Question: In the Land of Oz only one or two-letter words are used. The local language has 66 different letters. The parliament decided to forbid the use of the seventh letter. How many words have the people of Oz lost because of the prohibition?
Choices:
66
67
131
132
Answer: C
Question: Seats for Mathematics, Physics and Biology in a school are in the ratio 5:7:8. There is a proposal to increase these seats by 40, 50 and 75 respectively. What will be the ratio of increased seats?
Choices:
2:3:4
6:8:9
None of these
Cannot be determined
Answer: A
Question: A rectangular tank needs to be coated with insulation. The tank has dimensions of 3 feet, 6 feet, and 2 feet. Each square foot of insulation costs $20. How much will it cost to cover the surface of the tank with insulation?
Choices:
$1060
$1220
$1440
$1650
Answer: C
Question: Baseball's World Series matches 2 teams against each other in a best-of-seven series. The first team to win four games wins the series and no subsequent games are played. If you have no special information about either of the teams, what is the probability Y that the World Series will consist of fewer than 7 games?
Choices:
25%
31.25%
68.75%
75%
Answer: C
Question: A and B complete a work in 6 days. A alone can do it in 10 days. If both together can do the work in how many days?
Choices:
4.95 days
3.75 days
2.50 days
1.45 days
Answer: B
Question: Two varieties of wheat - A and B costing Rs. 9 per kg and Rs. 15 per kg were mixed in the ratio 3 : 7. If 5 kg of the mixture is sold at 25% profit, find the profit made?
Choices:
Rs.16.59
Rs.16.60
Rs.16.50
Rs.18.50
Answer: C
Question: The average price of three items of furniture is Rs. 10000. If their prices are in the ratio 3:5:7, the price of the cheapest item is?
Choices:
2600
9288
9000
28311
Answer: A
Question: R is the set of positive even integers less than 50, and S is the set of the squares of the integers in R. How many elements does the intersection of R and S contain ?
Choices:
Two
Three
Five
Seven
Answer: B
Question: The H.C.F. of two numbers is 12 and their L.C.M. is 600. If one of the number is 20, find the other?
Choices:
360
120
200
150
Answer: A
Question: The length of a rectangle is one - fourth 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:
250 sq.units
300 sq.units
200 sq.units
100 sq.units
Answer: C
Question: It takes Joey the postman 1 hours to run a 4 mile long route every day. He delivers packages and then returns to the post office along the same path. If the average speed of the round trip is 5 mile/hour, what is the speed with which Joey returns?
Choices:
6 2/3
13
14
15
Answer: A
Question: Find the ratio in which rice at Rs. 7.10 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg
Choices:
3:4
2:1
2:2
2:8
Answer: A
Question: Find the number which is nearest to 3105 and is exactly divisible by 21
Choices:
3108
241
217
3147
Answer: A
Question: The diameter of a cylindrical tin is 6cm and height is 5 cm. Find the volume of the cylinder?
Choices:
15π cc
4π cc
45π cc
27π cc
Answer: C
Question: R campers fished for 2 hours. If m of the campers caught 2 fish apiece and the rest caught a combined total of n fish, how many fish did the R campers catch per hour?
Choices:
(2m + n(R-m))/3
(2m + n(m-R))/3
(2m + n)/2
(2m + n)/R
Answer: C
Question: A no.when divided by 221 gives a remainder 43, what remainder will be obtainedby dividingthe same no.17?
Choices:
6
9
11
14
Answer: B
Question: A man walks at a speed of 3 km/hr and runs at a speed of 7 km/hr. How much time will the man require to cover a distance of 10 1/2 km, if he completes half of the distance, i.e., (5 1/4) km on foot and the other half by running?
Choices:
2 1/2
4 1/2
2 1/1
2 1/8
Answer: A
Question: 5 men and 12 boys finish a piece of work in 4 days, 7 men and 6 boys do it in 5 days. The ratio between the efficiencies of a man and boy is?
Choices:
6:1
6:9
6:5
6:2
Answer: C
Question: How many three letter words are formed using the letters of the word GAMER?
Choices:
60
67
98
29
Answer: A
Question: 2/5 of 3/7 of 23/11 of ? = 64 × 3
Choices:
419
616
636
686
Answer: B
Question: Find the value of (2 − 1/3) (1 − 1/4)(1 − 1/5)……… (1 − 1/99)(1 − 1/100)
Choices:
1/20
2/13
2/15
None
Answer: A
Question: The average of first 10 natural numbers is?
Choices:
5.5
5.9
5.4
5.1
Answer: A
Question: A and B participate in a 5000 m bicycle race which is being run on a circular track of 500 m. If the speed of A and B are 20 m/s and 10 m/s respectively, what is the distance covered by A when he passes B for the seventh time ?
Choices:
2800
4000
4500
situation not possible
Answer: D
Question: A board 10ft. 9 inches long is divided into 3 equal parts . What is the length of each part?
Choices:
3ft. 7 inches
4ft. 7 inches
2ft. 7 inches
1ft. 7 inches
Answer: A
Question: I. Class A has a higher enrollment than Class B.
II. Class C has a lower enrollment than Class B.
III.Class A has a lower enrollment than Class C.
If the first two statements are true, the third statement is
Choices:
false
uncertain
none
two
Answer: A
Question: Amy's grade was 90th percentile of the 80 grades for her class. Of the 100 grades from another class, 19 were higher than Amy's, and the rest were lower. If no other grade was the same as Amy's grade, then Amy's grade was what percentile of the grades of the two classes of two classes combined?
Choices:
80th
81st
85th
92nd
Answer: C
Question: Two persons C & D started traveling from A and B which are 300 km apart, towards B and A respectively at 1.00 p.m. C travels at a constant speed of 30 kmph whereas D doubles his speed every hour. If D reaches A in 4 5/8 hours, at what time did C and D meet each other ?
Choices:
4:40 p.m.
5:00 p.m.
5:10 p.m.
5:20 p.m.
Answer: B
Question: A radio station has to choose one day of the seven in a week to broadcast a certain program, and that set will repeat each week. The program can be broadcast equally on any of the seven weekdays —- weekdays vs. weekends don’t matter at all —- nor does it matter whether the days the program airs are adjacent or not. Absolutely any three of the seven weekdays can be chosen. How many different three-day combinations of the seven weekdays can be constructed?
Choices:
7
21
35
56
Answer: A
Question: At what rate percent on simple interest will a sum of money double itself in 60 years?
Choices:
3 1/9%
1 2/3%
3 2/3%
3 6/3%
Answer: B
Question: When positive integer Q is divided by 6 the remainder is 3. Which of the following CANNOT be an even integer?
Choices:
b. k -11
c. 4k + 2
d. (k-3)/3 +2
e. Q/3
Answer: D
Question: Find the compound ratio of (2:3), (3:4) and (1:4) is
Choices:
2:3
1:8
4:5
3:2
Answer: B
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 the area of the park (in sq. m) is
Choices:
153600 m^2
153700 m^2
153800 m^2
153900 m^2
Answer: A
Question: Let S be the set {1, 2, 3, . . . , n} consisting of the first n positive integers.
What is the maximum value of n for which every 100-element subset of
S contains two integers which differ by 25 ?
Choices:
172
173
174
175
Answer: C
Question: A jar of 144 marbles is divided equally among a group of marble-players today. If 2 people joined the group in the future, each person would receive 1 marble less. How many people are there in the group today?
Choices:
14
16
18
20
Answer: B
Question: A set of football matches is to be organized in a “round-robin” fashion, i.e., every participating team plays a match against every other team once and only once. If 21 matches are totally played, how many teams participated?
Choices:
7 teams
5 teams
4 teams
2 teams
Answer: A
Question: Marketing executives for a certain chewing gum company projected a 20 percent increase in revenue this year over that of last year, but revenue this year actually decreased by 25%. What percent of the projected revenue was the actual revenue ?
Choices:
58%
62.5%
64%
75%
Answer: B
Question: Bacteria reproduce in such a manner that every hour their number
doubles In a controlled experiment that started with a certain number of
bacteria in a jar at 12noon on Tuesday ,30 million were found at 12noon on
Wednesday .At what time were there 15 million bacteria ?
Choices:
6 a.m on Wednesday
10 a.m Wednesday
9 a.m Wednesday
None of these
Answer: D
Question: One side of a rectangular field is 15 m and one of its diagonals is 17 m. Find the area of the field.
Choices:
110 m^2
120 m^2
130 m^2
140 m^2
Answer: B
Question: Circular gears L and R start to rotate at the same time at the same rate. Gear L makes 20 complete revolutions per minute and gear R makes 60 revolutions per minute. How many seconds after the gears start to rotate will gear R have made exactly 8 more revolutions than gear L?
Choices:
b) 8
c) 10
d) 14
e) 12
Answer: D
Question: 248:3::328:?
Choices:
5
4
6
none of the above
Answer: B
Question: A starts business with Rs.3500 and after 6 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
10500
2811
Answer: C
Question: In the x-y plane, point (x, y) is a lattice point if both x and y are integers. A square has a center at (0, 0) and side = 4. Some points, such as the center (0, 0), are inside the square, but a point such as (0, 2) is on the square but not in the square. How many lattice points are in the square?
Choices:
9
8
5
12
Answer: A
Question: In how many ways can 6 boys and 4 girls sit around a table in such a way that no two girls sit together?
Choices:
43200
48500
46500
49600
Answer: A
Question: A sum of Rs. 125000 amounts to Rs. 15000 in 4 years at the rate of simple interest. What is the rate of interest?
Choices:
4%
5%
6%
7%
Answer: B
Question: A man saves 10% of his monthly salary. If an account of dearness of things he is to increase his monthly expenses by 10%, he is only able to save Rs. 200 per month. What is his monthly salary?
Choices:
Rs.21,000
Rs.20,000
Rs.23,000
Rs.24,000
Answer: B
Question: A, B and C are partners. A receives 2/3 of profits, B and C dividing the remainder equally. A's income is increased by Rs.200 when the rate to profit rises from 5 to 7 percent. Find the Capital of B?
Choices:
2777
2500
2999
2771
Answer: B
Question: Farm A had an average output of 300 kgs of wheat per acre. Farm B had an average output of 350 kgs of wheat per acre. It is known that Farm B's area is 20 acres less than Farm A's. It is also known that Farm B in total harvested 2000 kgs of wheat more than Farm A. What is the area of Farm A?
Choices:
135 acres
145 acres
160 acres
180 acres
Answer: D
Question: If n is a natural number, t hen 6n^2 + 6n is always divisible by?
Choices:
6 and 12
12 only
18 only
20 only
Answer: A
Question: If a cube has a volume of 125, what is the surface area of one side?
Choices:
25
50
150
625
Answer: A
Question: What is the value of 10^7 - 6^5?
Choices:
99,92,224
99,94,265
99,95,300
99,96,307
Answer: A
Question: A man on tour travels first 160 km at 64 km/he and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is?
Choices:
71.11 km/hr
71.18 km/hr
77.11 km/hr
21.11 km/hr
Answer: A
Question: When the bus started from the first bus stop, the number of male passengers to the number of female passengers was 1 : 3. At the first stop, 16 passengers got down and 6 more female passengers got in. The ratio of the male to female passengers now became 1: 2. What was the total number of passengers in the bus when it started from the first stop?
Choices:
48
54
46
Cannot be determined
Answer: D
Question: The amount of electrical current that flows through a wire is inversely proportional to the resistance in that wire. A wire originally carries 4 amperes of electrical current. Then the resistance is reduced to one-fifth of its original value. How many amperes of electrical current will flow through the wire?
Choices:
5
12
20
24
Answer: C
Question: The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.8800. If his salary for the month of May is Rs.6500, find his salary for the month of January?
Choices:
s.3300
s.4500
s.4550
s.2500
Answer: A
Question: A boat can travel with a speed of 10 km/hr in still water. If the speed of the stream is 8 km/hr, find the time taken by the boat to go 54 km downstream.
Choices:
5.25 hr
3 hr
2.25 hr
2.50 hr
Answer: B
Question: The second of two numbers is two less than three times the first. Find the numbers if there sum is
74.
Choices:
8-20
10-16
15-9
19-55
Answer: D
Question: A, B and C are partners in a business. A contributes Rs. 4000, B Rs.5000 and C Rs.9000. If B receives Rs. 800 as his share of profit at the end of one year, find the total profit .
Choices:
Rs.2880
Rs.2990
Rs.2480
Rs.2380
Answer: A
Question: If 12 men or 20 women can do a piece of work in 54 days, then in how many days can 9 men and 12 women together do the work?
Choices:
40 days
50 days
70 days
80 days
Answer: A
Question: Rates for having a manuscript typed at a certain typing service are $6 per page for the first time a page is typed and $4 per page each time a page is revised. If a certain manuscript has 100 pages, of which 40 were revised only once, 10 were revised twice, and the rest required no revisions, what was the total cost of having the manuscript typed?
Choices:
$840
$860
$870
$880
Answer: A
Question: A “palindromic integer” is an integer that remains the same when its digits are reversed. So, for example, 43334 and 516615 are both examples of palindromic integers. How many 6-digit palindromic integers are both even and greater than 300,000?
Choices:
216
300
400
2,500
Answer: B
Question: The probability that event M will not occur is 0.8 and the probability that event R will not occur is 0.5. If events M and R cannot both occur, which of the following is the probability that either event M or event R will occur?
Choices:
7/10
3/5
4/5
12/25
Answer: A
Question: In a 100-mile trip, the first 20 miles were completed at 40 mph. If the average speed for the whole trip was 50 mph, what was the average speed in the last 80 miles?
Choices:
160/3 mph
165/3 mph
170/3 mph
175/5 mph
Answer: A
Question: The probability that a number selected at random from the first 50 natural numbers is a composite number is?
Choices:
17/21
17/22
17/29
17/25
Answer: D
Question: Walking 7/6 of his usual rate, a boy reaches his school 4 min early. Find his usual time to reach the school?
Choices:
15
16
28 min
19
Answer: C
Question: A baker sold all of his donuts for a total amount of 216 pounds. If on each donut the baker made a profit of 8% of the cost, how much did it cost the baker to make all the donuts?
Choices:
200
190
180
170
Answer: A
Question: Find the unit's digit in 264^102+264^103
Choices:
0
2
4
5
Answer: A
Question: The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 18 years. The present age of the husband is
Choices:
44 years
50 years
55 years
None
Answer: A
Question: What sum of money put at C.I amounts in 2 years to Rs.8820 and in 3 years to Rs.9261?
Choices:
8000
2789
2686
9087
Answer: A
Question: In how many way the letter of the word "RUMOUR" can be arranged
Choices:
480
360
180
470
Answer: C
Question: Both Robert and Alice leave from the same location at 7:00 a.m. driving in the same direction, but in separate cars. Robert drives 40 miles per hour while Alice drives 60 miles per hour. After 6 hours, Alice’s car stops. At what time will Robert’s car reach Alice’s car?
Choices:
3 p.m.
4 p.m.
8 p.m.
9 p.m.
Answer: B
Question: A certain clock marks every hour by striking a number of times equal to the hour, and the time require for a stroke is exactly equal to the time interval between strokes. At 6:00 the time lapse between the beginning of the first stoke and the end of the last stroke is 22 seconds. At 10:00, how many seconds elapse between the beginning of the first stroke and the end of the last stroke?
Choices:
36
46
38
40
Answer: C
Question: Xavier, Yvonne, and Zelda each try independently to solve a problem. If their individual probabilities for success are 1/3, 1/2 and 5/8, respectively, what is the probability that Xavier and Yvonne, but not Zelda, will solve the problem?
Choices:
1/16
9/64
5/64
3/64
Answer: A
Question: Last year Manfred received 26 paychecks. Each of his first 6 paychecks was $750; each of his remaining paychecks was $20 more than each of his first 6 paychecks. To the nearest dollar, what was the average (arithmetic mean) amount of his pay checks for the year?
Choices:
$755
$765
$773
$775
Answer: B
Question: Truck P and Truck Q drive on the highway in the same direction at respective rates of 70 kph and 75 kph. If Truck Q is 4 km behind Truck P, by how much does Truck P need to increase the speed to catch up with Truck P in 20 minutes?
Choices:
5 kph
6 kph
7 kph
8 kph
Answer: C
Question: Two trains are moving at 45kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
Choices:
43/6 sec
47/6 sec
40/3 sec
40/7 sec
Answer: B
Question: At present, the ratio between the ages of Shekhar and Shobha is
4:3. After 6 years, Shekhar's age will be 26 years. Find out the age of Shobha at present?
Choices:
15 Years
13 years
12 years
20 years
Answer: A
Question: A wire can be bent in the form of a circle of radius 56cm. If it is bent in the form of a square, then its area will be?
Choices:
7744
2279
1287
1100
Answer: A
Question: A merchant sells an item at a 20 percent discount. but still makes a gross profit of 20 percent of the cost.What percent of cost would be gross profit on the item have been if it had been sold without the discount?
Choices:
40%
50%
60%
66.6%
Answer: B
Question: A person borrows 7000 for 3 years at 6% p.a. simple interest. He immediately lends it to another person at 31 % p.a. for 3 years. Find his gain in the transaction per year.
Choices:
1700
1550
1650
1750
Answer: D
Question: In one hour, a boat goes 15 km along the stream and 5 km against the stream. The speed of the boat in still water (in km/hr) is:
Choices:
4
10
12
15
Answer: B
Question: In the coordinate plane, points (x, 5) and (7, y) are on line k. If line k passes through the origin and has slope 5/7, then x + y =
Choices:
14
9
10
12
Answer: D
Question: A batsman makes a score of 64 runs in the 16th innings and thus increased his average by 3. Find his average after the 16th inning?
Choices:
17
15
19
26
Answer: C
Question: Two dogsled teams raced across a 300 mile course in Wyoming. Team A finished the course in 3 fewer hours than team R. If team A's average speed was 5 mph greater than team R's, what was team R's average mph?
Choices:
15
18
20
25
Answer: C
Question: In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?
Choices:
50400
9003
490
7493
Answer: A
Question: Pointing to a gentleman, Deepak said, "His only brother is the father of my daughter's father." How the gentleman related to Deepak ?
Choices:
Accumulate
Acquit
Uncle
2433
Answer: C
Question: The average weight of A, B and C is 46 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is:
Choices:
20 kg
26 kg
31 kg
22 kg
Answer: D
Question: Calculate the number of bricks, each measuring 25 cm * 15 cm * 8 cm required to construct a wall of dimensions 10 m * 4 m * 5 m when 10% of its volume is occupied by mortar?
Choices:
6000
8648
7000
7300
Answer: A
Question: On dividing 109 by a number, the quotient is 9 and the remainder is 1. Find the divisor
Choices:
12
18
22
24
Answer: A