antoine-444/aqua_rat_dataset huggingface dataset:
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train.
Choices:
150
180
170
190
Answer: A
Question: An gun can take a maximum of four shots at an enemy plane moving away from it. The probability ofhitting the plane at the 1st, 2nd, third and 4th shots are 1.4, 1.3,1.2 & 1.1 respectively. What is the probability that theplane is hit when all the four shots are fired?
Choices:
0.6976
1.5678
1.7454
2.6548
Answer: A
Question: A 6" cube is painted in all its faces and then it is cut down into 1" blocks. How many 1" blocks
are there even without a single face being painted?
Choices:
32
64
80
100
Answer: B
Question: A shopkeeper purchased 85 kg of potatoes for Rs. 595 and sold the whole lot at the rate of Rs. 8 per kg. What will be his gain percent?
Choices:
18 9/3 %
18 1/3 %
14 2/7 %
18 7/3 %
Answer: C
Question: What is the probability that a leap year has 53 Sundays and 52 Mondays?
Choices:
1/7
1/4
1/3
1/5
Answer: A
Question: A man spends 2/5 of his salary on house rent, 3/10 of his salary on food and 1/8 of his salary on conveyance. If he has $1400 left with him, find his expenditure on food.
Choices:
$1400
$3400
$2400
$4400
Answer: C
Question: How many gallons of water must be mixed with 1 gallon of a 15% salt solution To obtain a 10% salt solution
Choices:
5
1.0
1.5
2.00
Answer: A
Question: How many different positive integers are factors of 20?
Choices:
8
4
10
12
Answer: B
Question: S is the infinite sequence S1 = 2, S2 = 22, S3 = 222,...Sk = Sk–1 + 2(10k–1). If p is the sum of the first 30 terms of S, what is the 3rd digit of p, counting right to left from the units digit?
Choices:
2
4
6
9
Answer: A
Question: In a market, a dozen eggs cost as much as a pound of rice, and a half-liter of kerosene costs as much as 8 eggs. If the cost of each pound of rice is $0.33, then how many Q cents does a liter of kerosene cost? [One dollar has 100 cents.]
Choices:
0.44
0.55
44
55
Answer: C
Question: If the cost price of 50 articles is equal to the selling price of 15 articles, then the gain or loss percent is?
Choices:
127
12
18
233
Answer: D
Question: If # is an operation which results in adding the digits of integer until a single digit is left, what is the probability Q that a number picked up in first 90 positive integers will have the result of # as an odd digit ?
Choices:
(b) 4/9
(c) 1/2
(d) 6/10
(e) 5/9
Answer: D
Question: Chris mixed 3 pounds of raisins with 4 pounds of nuts. If a pound of nuts costs 4 times as much as a pound of raisins, then the total cost of the raisins was what fraction of the total cost of the mixture?
Choices:
1/5
1/4
1/3
3/19
Answer: D
Question: 60% of a number is added to 120, the result is the same number. Find the number?
Choices:
300
288
266
299
Answer: A
Question: A rectangular field has area equal to 150 sq m and perimeter 50 m. Its length and breadth must be?
Choices:
10
66
65
22
Answer: A
Question: If 60% of 3/5 of a number is 72, then the number is?
Choices:
100
75
90
None of these
Answer: D
Question: Two trains 85 m and 75 m long are running in same direction with speeds of 62 km/hr and 44 km/hr respectively. In what time will the first train cross the second train ?
Choices:
32 sec
82 sec
92 sec
13 sec
Answer: A
Question: Stacy has a 63 page history paper due in 3 days. How many pages per day would she have to write to finish on time?
Choices:
8
10
8.5
21
Answer: D
Question: If p, q, and r are three different positive integers whose sum is prime, which of the following statements could be true?
Choices:
Each of p, q, and r is prime.
Each of p + q, p + r, and q + r is prime.
The average (arithmetic mean) of p, q, and r is prime.
p + q = r
Answer: A
Question: A furniture dealer purchased a desk for $150 and then set the selling price equal to the purchase price plus a markup that was 25% of the selling price. If the dealer sold the desk at the selling price, what was the amount of the dealer's gross profit from the purchase and the sale of the desk?
Choices:
38%
36%
33.33%
35%
Answer: C
Question: The average of runs of a cricket player of 10 innings was 15. How many runs must he make in his next innings so as to increase his average of runs by 4?
Choices:
16
10
76
59
Answer: D
Question: Insert the missing number. 2, 7, 8, 17, 16, 27, 22, 37
Choices:
52
46
28
68
Answer: C
Question: If x=kc and y=kt,then y-2x =?
Choices:
k(t-2c)
c(k-t)
t(k-c)
k(1-t)
Answer: A
Question: If the diagonal of a rectangle is 17cm long and its perimeter is 46 cm. Find the area of the rectangle?
Choices:
120 sq.cm
277 sq.cm
118 sq.cm
119 sq.cm
Answer: A
Question: A person travelled from his house to office at 15km/hr and office to house at 25km/hr. Then find the average speed?
Choices:
20km/hr
18.75km/hr
24km/hr
25km/hr
Answer: B
Question: In how many ways Chief Minister and Minister be elected from a team of 20 members?
Choices:
131
132
380
145
Answer: C
Question: Ricky likes to keep a spare tyre in his car every time. On a certain day, he travels 1, 00,000 km and just to make the most of all the tyres, he changes the tyres between his journey such that each tyre runs the same distance.
What is the distance travelled by each tyre?
Choices:
35000
70000
60000
80000
Answer: D
Question: A man in a train notices that he can count 41 telephone posts in one minute. If they are known to be
50 metres apart, then at what speed is the train travelling?
Choices:
100 km/hr
110 km/hr
120 km/hr
None of these
Answer: C
Question: The standard serial numbers for a bill are 2 letters followed by 5 digits. How many bills are possible if letters and digits can be repeated?
Choices:
26 × 26 × 100 000
26³ × 10 000
26 × 25 × 24 × 10
26 x 26 x 10 000
Answer: A
Question: In May Mrs Lee's earnings were 60 percent of the Lee family's total income. In June Mrs Lee earned 20 percent more than in May. If the rest of the family's income was the same both months, then, in June, Mrs Lee's earnings were approximately what percent of the Lee family's total income ?
Choices:
64%
72%
76%
80%
Answer: A
Question: A trader bought a car at 25% discount on its original price. He sold it at a 40% increase on the price he bought it. What percent of profit did he make on the original price?
Choices:
110
105
113
115
Answer: B
Question: The sides of a triangle are in the ratio of
1/2:1/3:1/4. If the perimeter is 52 cm, then find the length of the smallest side.
Choices:
12 cm
16 cm
18 cm
None of these
Answer: A
Question: What is the total number of positive integers that are less than 1000 and that have no positive factor in common with 1000 other than 1?
Choices:
200
300
400
500
Answer: C
Question: A reduction of 10% in the price of rice enables a lady to obtain 20kgs more for Rs.1000, find the original price per kg?
Choices:
5.0
5.2
5.6
5.4
Answer: C
Question: Set A = {1, 2, 3, 4, 5, 6, q}
Which of the following possible values for q would cause Set A to have the smallest standard deviation?
Choices:
2.5
3
3.5
7
Answer: C
Question: If X = the product of five distinct prime numbers, how many factors does X have besides 1 and itself?
Choices:
30
36
42
48
Answer: A
Question: Pipe P can drain the liquid from a tank in 3/4 the time that it takes pipe Q to drain it and in 3/3 the time that it takes pipe R to do it. If all 3 pipes operating simultaneously but independently are used to drain liquid from the tank, then pipe Q drains what portion of the liquid from the tank?
Choices:
8/23
3/8
3/11
3/4
Answer: C
Question: In Sam's hanger there are 23 boxes, 19 out of the boxes are filled with toys and the rest are filled with electrical appliances. 8 boxes are for sale, 5 of them are filled with toys. How many boxes with electrical appliances are in Sam's hanger that is not for sale?
Choices:
1.
3.
4.
5.
Answer: A
Question: The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is:
Choices:
277
245
88
232
Answer: B
Question: In a factory, an average of 60 TV's are produced per day for the fist 25days of the months. A few workers fell ill for the next 5days reducing the daily avg for the month to 58 sets/day . The average production per day for day last 5days is ?
Choices:
36
48
50
59
Answer: B
Question: What will be the day of the week 15th August, 2010?
Choices:
Sunday
Monday
Thursday
Wednesday
Answer: A
Question: Paul's income is 40% less than Rex's income, Quentin's income is 20% less than Paul's income, and Sam's income is 40% less than Paul's income. If Rex gave 60% of his income to Paul and 40% of his income to Quentin, Paul's new income would be what fraction of Quentin's new income?
Choices:
13/17
13/19
15/11
11/19
Answer: C
Question: If n is even, which of the following cannot be odd?
I	n + 3
II	3n
III	n^2 - 1
Choices:
II only
III only
I and II only
I, II and III
Answer: A
Question: In how many ways can 5 boys and 3 girls be seated on 7 chairs so that no two girls are together?
Choices:
14400
480
56
1440
Answer: D
Question: Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?
Choices:
1/2
8/15
9 by 20
9/24
Answer: C
Question: A bag contains 12 red marbles. If someone were to remove 2 marbles from the bag, one at a time, and replace the first marble after it was removed, the probability that neither marble would be red is 49/64. How many marbles are in the bag?
Choices:
48
60
96
84
Answer: C
Question: What least number must be added to 9599, so that the sum is completely divisible by 100 ?
Choices:
1
4
6
8
Answer: A
Question: A can do a piece of work in 8 days. B can do it in 12 days. With the assistance of C they completed the work in 4 days. Find in how many days can C alone do it?
Choices:
20 days
16 days
24 days
36 days
Answer: C
Question: The speed at which a boy can row a boat in still water is 60 kmph. If he rows downstream, where the speed of current is 12 kmph, what time will he take to cover 220 metres?
Choices:
8
9
10
11
Answer: D
Question: A shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 50% while buying and by 10% while selling. What is his percentage profit?
Choices:
20.22%
21.22%
50%
Can't be calculated
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
18 sec
16 sec
17 sec
Answer: A
Question: Find the fourth proportional to 4, 9, 12
Choices:
37
47
67
27
Answer: D
Question: After taking N tests, each containing 100 questions, John had an average of 70% of correct answers. How much does John need to score on the next test to make his average equal 75%?
M13-03.
Choices:
N+72
2N+78
2N+72
2N−35
Answer: B
Question: If X,Y is 15%,30% smaller than Z then how much percentage is Y greater than X?
Choices:
13%
13 1/2%
14%
17 11/17%
Answer: D
Question: What is the greatest power that 3 can be raised to so that the resulting number is a factor of 9!?
Choices:
3
4
5
6
Answer: A
Question: In the faculty of Reverse-Engineering, 350 second year students study numeric methods, 250 second year students study automatic control of airborne vehicles and 100 second year students study them both. How many students are there in the faculty if the second year students are approximately 25% of the total?
Choices:
1900
2100
2000
2200
Answer: C
Question: The bus fare for two persons for travelling between Agra and Aligarh id four-thirds the train fare between the same places for one person. The total fare paid by 6 persons travelling by bus and 8 persons travelling by train between the two places is Rs.1512. Find the train fare between the two places for one person?
Choices:
Rs.126
Rs.120
Rs.114
None of these
Answer: A
Question: 66% of respondents to a survey consisted of those who used both M and N and those who used neither M nor N. 53% of respondents did not use M. 47% used N. What percent of respondents used only N?
Choices:
21.5%
20%
18.5%
17%
Answer: D
Question: A sum was put at simple interest at a certain rate for 10 years . Had it been put at 5% higher rate , it would have fetched Rs.600 more. What was the Sum?
Choices:
1200
2779
1770
1887
Answer: A
Question: A can do a piece of work in 21 days and B in 28 days. Together they started the work and B left after 4 days. In how many days can A alone do the remaining work?
Choices:
14
20
10
7
Answer: A
Question: If a and b are the two values of t that satisfy
the equation t^2 â€“ 7t + 10 = 0, with a > b, what is the value of a â€“ b?
Choices:
3
4
5
6
Answer: A
Question: If 6 Men or 7 Women take 6 days to complete some work, how many days will 10 Men and 6 Women working together take to complete the work?
Can anyone explain please?
Choices:
2. 2 Days
3. 9/4 days
4.5/2 days
5.126/53 days
Answer: D
Question: A train passes a station platform in 38 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
279
270
288
231
Answer: B
Question: Raman mixed 24 kg of butter at Rs. 150 per kg with 36 kg butter at the rate of Rs. 125 per kg. At what price per kg should he sell the mixture to make a profit of 40% in the transaction?
Choices:
2767
189
266
211
Answer: B
Question: In how many Q ways can 5 people from a group of 6 people be seated around a circular table
Choices:
80
100
120
144
Answer: D
Question: At the end of the month, a certain ocean desalination plant’s reservoir contained 40 million gallons of water. This amount is one fifth of the normal level. If this amount represents 80% of the reservoir’s total capacity, how many million gallons short of total capacity is the normal level?
Choices:
30
40
50
60
Answer: B
Question: Find a sum for first 5 prime number'ss?
Choices:
28
30
35
36
Answer: A
Question: A motor pool has 300 vehicles of which 30 percent are trucks. 20 percent of all the vehicles in the motor pool are diesel, including 30 trucks. What percent of the motor pool is composed of vehicles that are neither trucks nor diesel?
Choices:
90%
65%
55%
60%
Answer: D
Question: A man is 29 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:
Choices:
18 years
20 years
27 years
16 years
Answer: C
Question: A can fill tank in 9 minutes, B can empty the tank in 18 minutes.. In what time the tank be filled, if both pipes work simultaneously?
Choices:
15 minutes
16 minutes
17 minutes
18 minutes
Answer: D
Question: If (a-3)(b-2) =0, which of the following must be true ?
I. a=3 and b=2
II. if a is not = 3, then b=2
III. if a=3, then b is not=2
Choices:
II only
III only
I and II
II and III
Answer: A
Question: A man's speed with the current is 20 kmph and speed of the current is 1 kmph. The Man's speed
against the current will be
Choices:
12 kmph
18 kmph
17 kmph
None of these
Answer: B
Question: A number is doubled and 9 is added. If resultant is trebled, it becomes 69. What is that number
Choices:
7
12
14
15
Answer: A
Question: In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race?
Choices:
190 sec
278 sec
268 sec
987 sec
Answer: A
Question: If A and B are two events such that P (A) = 2/4, P (B) = 1/2 and P (A n B) = 3/8,
find P (not A and not B).
Choices:
B)3/8
C)4/8
D)5/13
E)6/8
Answer: A
Question: What is the probability of getting a sum 9 from two throws of a dice?
Choices:
1/8
1/9
1/12
1/5
Answer: B
Question: M is 25% of N. M is also 75% of D. D is 95% of L. How are N and L related?
Choices:
200%
300%
285%
231%
Answer: C
Question: If 4 women can colour 48 m long cloth in 2 days, then 6 men can colour 36 m long cloth in?
Choices:
day
days
days
days
Answer: A
Question: In how many ways can the letters of the word REPORT be arranged?
Choices:
360
2520
3000
3478
Answer: A
Question: A can do a piece of work in 12 days. He worked for 15 days and then B completed the remaining work in 10 days. Both of them together will finish it in.
Choices:
12 1/2 days
12 1/2 days
22 1/2 days
12 6/2 days
Answer: A
Question: x = y - (5/y), where x and y are both > 0. If the value of y is doubled in the equation above, the value of x will
Choices:
stay the same
increase four fold
doubles
triples
Answer: C
Question: Which expression is the greatest
Choices:
3456/3461
3591/3596
3846/3951
3453/3458
Answer: C
Question: A student needs 60% of the marks on a test to pass the test. If the student gets 80 marks and fails the test by 100 marks, find the maximum marks set for the test.
Choices:
300
350
400
450
Answer: A
Question: In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is:
Choices:
1 hour
3 hours
4 hours
5 hours
Answer: A
Question: A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 78000, then the share of B is?
Choices:
24000
27778
27772
36000
Answer: D
Question: Working together, Jose and Jane can complete an assigned task in 10 days. However, if Jose worked alone and complete half the work and then Jane takes over the task and completes the second half of the task, the task will be completed in 25 days. How long will Jose take to complete the task if he worked alone? Assume that Jane is more efficient than Jose
Choices:
25 days
60 days
65 days
36 days
Answer: A
Question: Sonalika goes 12 km towards North from a fixed point and then she goes 8 km towards South from there. In the end she goes 3 km towards east. How far and in what direction is she from her starting point?
Choices:
5km north east
5km north west
6km north east
6km north west
Answer: A
Question: A train speeds past a pole in 15 sec and a platform 150 m long in 25 sec, its length is?
Choices:
150 m
225 m
300 m
None of these
Answer: B
Question: Carol spends 1/4 of her savings on a stereo and 1/5 less than she spent on the stereo for a television. What fraction of her savings did she spend on the stereo and television?
Choices:
2/7
5/12
9/20
7/12
Answer: C
Question: there are 35 student in a school. 20 if them speek hindi 19 of them speak eng 9 of them speak both , then how many student neithe speak eng nor speak hindi
Choices:
30
32
35
None of these
Answer: D
Question: A and B can finish a work in 7 days and 8 days respectively.if both do work one day and leave one day.and A start the work then in how much days work will finish?
Choices:
52/7
14/2
6
43/6
Answer: A
Question: If a man travels f miles an hour for t hours and r miles an hour for k hours, what is his average rate in miles per hour for the entire distance traveled?
Choices:
(ft + rk)/2
t/f + k/r
(ft + rk)/(t + k)
(ft + rk)/(t - k)
Answer: C
Question: The jogging track in a sports complex is 561 m in circumference. Deepak and his wife start from the same point and walk in opposite directions at 4.5 km/hr and 3.75 km/hr respectively. They will meet for the first time in?
Choices:
5.28 min
4.08 min
9.28 min
5.988 min
Answer: B
Question: I. j; k; m; n; p
II. j - 10; m; m; m; p + 15
III. j + 2; k + 1; m; n - 1; p - 2
If j, k, m, n, and p are consecutive positive integers such that j < k < m < n < p, the data sets I, II, and III above are ordered from greatest standard deviation to least standard deviation T in which of the following?
Choices:
II, I, III
II, III, I
III, I, II
III, II, I
Answer: A
Question: If 6!/3^x is an integer, what is the greatest possible value of x?
Choices:
2
5
6
7
Answer: A
Question: A certain university will select 1 of 5 candidates eligible to fill a position in the mathematics department and 4 of 7 candidates eligible to fill 2 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions?
Choices:
70
175
165
315
Answer: B
Question: A truck owner will refuel his vehicle at a rate of 2 gallons of diesel fuel every 5 seconds. If diesel fuel costs $ 1.25 per gallon, how long will it take for the truck owner to refuel his vehicle with $ 30 worth of diesel fuel?
Choices:
1 minute
1 minute 20 seconds
20 minutes
1 hour 20 minutes
Answer: A
Question: In how many ways can the letters of the word LITTER be arranged in a row so that the vowels appear in alphabetic order?
Choices:
400
440
360
460
Answer: C
Question: what is the remainder when 9614241 is divided by 99
Choices:
65
45
54
60
Answer: C
Question: Alfred buys an old scooter for $4700 and spends $800 on its repairs. If he sells the scooter for $6400, his gain percent is?
Choices:
16.36%
7%
8.12%
10%
Answer: A
Question: n a series of numbers , the next number is formed by adding 1 to the sum of the previous numbers, and the 10th number is 1280. Then what is the first number in the series? (series will be like this x , x+1, (x+(x+1))+1,....... )
Choices:
4
5
7
9
Answer: A
Question: Josh spends a total of $5.50 buying N items in the convenience store. If each of the items is either a 5 cents single bubblegum, or a 50 cents bubblegum pack, then N may be which of the following?
Choices:
100
101
109
140
Answer: B
Question: Alice deposited Rs 2 million in bank at 4 % simple interest per year. After 10 year how many Rs she will get from bank?
Choices:
90000
10000
80000
60000
Answer: C
Question: By selling 33 metres of cloth , one gains the selling price of 11 metres . Find the gain percent .
Choices:
48%
50%
36%
45%
Answer: B
Question: There are many numbers that can be expressed as the sum of three squares in three different ways.
Can you find out the smallest of such number?
Choices:
54
49
50
51
Answer: A
Question: The average temperature for Monday, Tuesday, Wednesday and Thursday was 48 degrees and for Tuesday, Wednesday, Thursday and Friday was 46 degrees. If the temperature on Monday was 42 degrees. Find the temperature on Friday?
Choices:
679
62
34
12
Answer: C
Question: Working alone, A can complete a certain kind of job in 10 hours. A and D, working together at their respective rates, can complete one of these jobs in 5 hours. In how many hours can D, working alone, complete one of these jobs?
Choices:
10
11
12
13
Answer: A
Question: Susan, Tim,and Kim need to be seated in 3 identical chairs in straight line so that Susan is seated always left to Tim. How many such arrangements are possible ?
Choices:
A)6
C)80
D)240
E)60
Answer: A
Question: Simplify 682 * 9
Choices:
4236
6895
6138
1478
Answer: C
Question: Two cyclist start from the same places in opposite directions. One is going towards north at 18kmph and the other is going towards south 20kmph. What time will they take to be 76km apart?
Choices:
2 1/3 hours
4hours
3 3/4 hours
2 hours
Answer: D
Question: Calculate the L.C.M of 4/9, 5/ 7, 9/13, 7/15 is :
Choices:
1290
1260
1240
2260
Answer: B
Question: If x=2y=4z, what is y-z, in terms of x?
Choices:
x/2
x/4
3x/5
3x/7
Answer: B
Question: In a garden, 26 trees are planted at equal distances along a yard 700 metres long, one tree being at each end of the yard. What is the distance between two consecutive trees?
Choices:
28
12
14
16
Answer: A
Question: In a tree, 2/5 of the birds are robins while the rest are bluejays. If 1/3 of the robins are female and 2/3 of the bluejays are female, what fraction of the birds in the tree are male?
Choices:
4/15
7/15
8/15
17/30
Answer: B
Question: The 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:
18 kmph
14 kmph
13 kmph
17 kmph
Answer: B
Question: For each month of a given year except December, a worker earned the same monthly salary and donated one-tenth of that salary to charity. In December, the worker earned N times his usual monthly salary and donated one-fifth of his earnings to charity. If the worker's charitable contributions totaled one-nineth of his earnings for the entire year, what is the value of N?
Choices:
5/2
3
11/3
22
Answer: D
Question: Zoe is interested in dividing her high school trophies into boxes so they can be put away in storage. Unfortunately, they do not divide equally. It turns out that in order for the boxes to each have an equal number of trophies, Zoe won't need one of the boxes and will have to add two of her college trophies to the last box. Which of the following can describe the number of initial high school trophies and the initial number of boxes (in the order trophies, boxes)?
Choices:
26; 8.
27; 4.
25; 3.
45; 10.
Answer: A
Question: Two trains are traveling on a collision course. If train A is traveling at a speed of 350 mph and train B is traveling 28% slower, how much time will it take the trains to collide if the initial distance between the two is 2408 miles?
Choices:
One hour and 10 minutes.
Two hours and 25 minutes.
Three hours and 15 minutes.
Four hours and 0 minutes.
Answer: D
Question: Running 3/4th of his usual rate, a man is 15min late. Find his usual time in hours ?
Choices:
3/4 hrs
1/3 hrs
1/4 hrs
1 hr
Answer: A
Question: The ages of two persons differ by 32 years. If 5 years ago, the elder one be 5 times as old as the younger one, their present ages (in years) are respectively
Choices:
46,14
25,15
30,10
None of these
Answer: A
Question: A saleswoman makes a 5% commission on the selling price for each products she sells. If she sells 250 products and makes $750 in commission, what was the selling price of each product?
Choices:
60
90
120
300
Answer: A
Question: What is the least number which when divided by 5, 6, 9 and 18 leaves remainder 4 in each care?
Choices:
44
36
56
94
Answer: D
Question: If it takes 30 construction workers 70 days to build a skyscraper, how long would it take 50 workers?
Choices:
47 days
42 days
37 days
32 days
Answer: B
Question: Sides of a rectangular park are in the ratio 3: 2 and its area is 5766 sq m, the cost of fencing it at 50 ps per meter is?
Choices:
1287
125
155
271
Answer: C
Question: If toaster X costs 10 percent more than toaster Y costs, which of the following COULD be true?
I. Toaster Y costs $10 less than toaster X costs
II. Toaster X costs $20 more than toaster Y costs
III. Toaster Y costs 10 percent less than toaster X costs
Choices:
I and II only
I and III only
II and III only
I, II and III
Answer: A
Question: If x < 12, then it must be true that...
Choices:
-x - 2 < 14
-x + 2 < -10
x + 2 < 10
x - 4 < 15
Answer: D
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 420 m and they cross each other in 12 sec, then the speed of each train is?
Choices:
26
126
99
27
Answer: B
Question: Six high school boys gather at the gym for a modified game of basketball involving three teams. Three teams of 2 people each will be created. How many ways are there to create these 3 teams?
Choices:
15
42
90
108
Answer: A
Question: A number when divided by a divisor leaves a remainder of 24.
When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor?
Choices:
59
35
37
38
Answer: C
Question: The average age of 20 men in the class is 15.6 years. Five new men join and the new average becomes 15.56 years. What was the average age of five new men?
Choices:
15.4
15.25
15.3
15.6
Answer: A
Question: A train 605 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Choices:
64
11
22
33
Answer: D
Question: Tough and Tricky questions: Exponents.
If a and b are positive integers and x = 16^a and y = 9^b, which of the following is a possible units digit of xy?
Choices:
6
5
7
8
Answer: A
Question: The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is:
Choices:
107
111
185
196
Answer: B
Question: A man takes 3 hours 45 minutes to row a boat 20 km downstream of a river and 2 hours 30 minutes to cover a distance of 3 km upstream. Find the speed of the current.
Choices:
2 km/hr
3 km/hr
4 km/hr
None of these
Answer: A
Question: A sells a bicycle to B at a profit of 60% and B sells it to C at a loss of 40%. Find the resultant profit or loss.
Choices:
-4%
-5%
6%
-7%
Answer: A
Question: For integers a and b, 16a = 32^b. Which of the following correctly expresses a in terms of b?
Choices:
a = 4^b
a = 2^(5b − 4)
a = 4^(5b − 4)
a = 2^(5b)
Answer: B
Question: A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12100 after a year?
Choices:
3630
2789
2662
2123
Answer: A
Question: A man has Rs. 412 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Choices:
60
77.25
90
105
Answer: B
Question: The average (arithmetic mean) of 8 numbers is Z, and one of the numbers is 14. If 14 is replaced with 28, then what is the new average (arithmetic mean) in terms of Z?
Choices:
Z + 7/4
Z + 2
Z + 4
2Z + 1
Answer: A
Question: Find the odd man out. 1050, 510, 242, 107, 46, 16, 3
Choices:
107
510
1050
None of these
Answer: A
Question: A plane flying north at 500 kmph passes over a city at 12 noon. A plane flying east at the same attitude passes over the same city at 12.30 pm. The plane is flying east at 400 kmph. To the nearest hundred km, how far apart are the two planes at 2 pm?
Choices:
1000 km
1100 km
1200 km
1300 km
Answer: C
Question: John started driving on a highway at a constant speed of R miles per hour at 13:00. Then, 2 hours later, Tom started driving on the same highway at a constant speed of 2R miles per hour at 15:00. If both drivers maintained their speed, how many miles had John driven on the highway when Tom caught up with John?
Choices:
3R
4R
5R
6R
Answer: B
Question: If n=5p where p is a prime number greater than 1, how many different positive even divisors does n have, including n?
Choices:
2
32
4
3
Answer: A
Question: Before January, the price of a dress was D and the price of a matching pair of shoes was H. In January, the price of the dress increased by 40% and the price of the shoes increased by 50%. In March, Roberta bought both items with a 30% discount. If D = 5H, which of the following represents the amount that Roberta paid?
Choices:
D + H – 1
D + 2H
5.95H
1.21D
Answer: C
Question: In march Mrs Bil's earnings were 80 percent of the Bil family's total income. In april Mrs Bil earned 10 percent more than in May. If the rest of the family's income was the same both months, then, in June, Mrs Bil's earnings were approximately what percent of the Bil family's total income ?
Choices:
83
34
12
26
Answer: A
Question: A started a business with Rs. 18000. After 4 months B joins with Rs. 24000. After 2 more months C joins with Rs. 30000. At the end of 10 months C received Rs. 1850 as his share. Find the total profit.
Choices:
Rs. 7030
Rs. 8510
Rs. 6845
None of these
Answer: C
Question: A beggar on the street can make one cigarette out of every 6 cigarette butts he finds. After one whole day of searching and checking public ashtrays the beggar finds a total of 72 cigarette butts. How many cigarettes can he make and smoke from the butts he found?
Choices:
10
14
16
8
Answer: B
Question: Which of the following numbers is between 2⁄3 and 1⁄2?
Choices:
.35
.29
.22
.55
Answer: D
Question: What is the dividend. divisor 17, the quotient is 9 and the remainder is 5?
Choices:
134
148
158
160
Answer: C
Question: Bruce and Anne can clean their house in 4 hours working together at their respective constant rates. If Anne’s speed were doubled, they could clean their house in 3 hours working at their respective rates. How many W hours does it currently take Anne to clean the house on her own?
Choices:
7
8
12
14
Answer: C
Question: Find (7x + 4y ) / (x-2y) if x/2y = 5/2 ?
Choices:
13
26
27
29
Answer: A
Question: If a committee of 3 people is to be selected from among 5 married couples so that the committee does not include two people who are married to each other, how many B such committees are possible?
Choices:
40
50
B=80
120
Answer: C
Question: There are two concentric circles such that the area of the outer circle is four times the area of the inner circle. Let A, B and C be three distinct points on the perimeter of the outer circle such that AB and AC are tangents to the inner circle. If the area of the outer circle is 12 square centimetres then the area (in square centimetres) of the triangle ABC would be
Choices:
9/π
9√3/π square centimetres
6√3/π
None of these
Answer: B
Question: A policeman noticed a criminal from a distance of 180 km. The criminal starts running and the policeman chases him. The criminal and the policeman run at the rate of 8 km and 9 km per hour respectively. What is the distance between them after 5 minutes ?
Choices:
96.7 m
130 m
150 m
None of these
Answer: A
Question: Raffle tickets numbered consecutively from 101 through 450 are placed in a box. What is the probability that a ticket selected at random will have a number with a hundreds digit of 2 ?
Choices:
2/7
10/35
99/250
100/249
Answer: B
Question: Mr. Wayne bungee jumps from the top of a building straight to the ground at a constant speed. 3 seconds after he starts plummeting he passes the 20th floor. 15 seconds after he starts plummeting he passes the 5th floor. Each floor is 3.6 meters high. What is Mr. Wayne's speed in meters per second?
Choices:
3.75
4.5
4.25
5
Answer: B
Question: The speed of a boat in still water is 50kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Choices:
40, 30 kmph
70, 30 kmph
40, 60 kmph
20, 60 kmph
Answer: B
Question: A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Choices:
6 kmph
14 kmph
8 kmph
4 kmph
Answer: C
Question: A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Choices:
350 m
289 m
299 m
219 m
Answer: A
Question: A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years ?
Choices:
1:3:5
3:4:7
4:5:9
5:7:10
Answer: B
Question: If a committee of 3 people is to be selected from among 5 married couples so that the committee does not include two people who are married to each other, how many such committees are possible?
A.
B.
C.
D.
E.
Choices:
40
50
80
120
Answer: C
Question: Ratio between Rahul and Deepak is 4:3, After 6 Years Rahul age will be 26 years. What is Deepak present age.
Choices:
15
20
22
23
Answer: A
Question: The average weight of four boys A, B, C, and D is 75 kg. The fifth boy E is included and the average weight decreases by 4 kg. A is replaced by F. The weight of F is 6 kg more than E. Average weight decreases because of the replacement of A and now the average weight is 72 kg. Find the weight of A.
Choices:
54 kg
56 kg
60 kg
58 kg
Answer: B
Question: A train leaves Mumabai at 9 am at a speed of 40 kmph. After one hour, another train leaves Mumbai in the same direction as that of the first train at a speed of 60 kmph. When and at what distance from Mumbai do the two trains meet?
Choices:
279
120
278
379
Answer: B
Question: On a man's tombstone, it is said that one sixth of his life was spent in childhood and one twelfth as a teenager. One seventh of his life passed between the time he became an adult and the time he married; five years later, his son was born. Alas, the son died four years before he did. He lived to be twice as old as his son did. How old did the man live to be?
Choices:
83
84
85
86
Answer: B
Question: If the annual interest on a principal is 16%, how many years before the amount is double?
Choices:
6.25
17.2
15.2
15.2
Answer: A
Question: Josh spends a total of $7.50 buying N items in the convenience store. If each of the items is either a 5 cents single bubblegum, or a 50 cents bubblegum pack, then N may be which of the following?
Choices:
100
101
109
141
Answer: D
Question: The area of Circle O is added to its diameter. If twice the circumference of Circle O is then subtracted from this total, the result is 8. What is the diameter of Circle O?
Choices:
4
8
10
6
Answer: B
Question: What is the dividend. divisor 18, the quotient is 9 and the remainder is 4
Choices:
A)166
C)150
D)153
E)158
Answer: A
Question: A reduction of 20% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg?
Choices:
31
32
33
34
Answer: B
Question: A can contains a mixture of two liquids A and B is the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the can initially?
Choices:
19
21
26
28
Answer: B
Question: The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:
Choices:
5
12
8
10
Answer: D
Question: In a mixture of 45 litres the ratio of milk to water is 4:1. Additional 18 litres of water is added to the mixture. Find the ratio of milk to water in the resulting mixture.
Choices:
4/3
2/3
3/4
3/2
Answer: A
Question: Without any stoppages a person travels a certain distance at an average speed of 40 km/hr and with stoppages he covers the same distance at an average of 20 km/hr. How many minutes per hour does he stop?
Choices:
20 minutes
30 minutes
45 minutes
None of these
Answer: B
Question: Divide Rs. 720 among A, B and C so that A receives 1/3 as much as B and C together and B receives 2/3 as A and C together. A's share is?
Choices:
s.400
s.600
s.180
s.900
Answer: C
Question: The average mark of a class of thirty two students is 75. If three students whose marks are 28 and 34 are removed , then find the approximate average mark of the remaining students of the class.
Choices:
74
78
70
80
Answer: B
Question: The function f(x) = x + 4 is given. Solve the equation:
[3.f(x - 2)]/f(0) + 4 = f(2x + 1)
Choices:
0.3
0.4
0.5
None of these
Answer: B
Question: If a quality control check is made inspecting a sample of 2 light bulbs from a box of 13 lighbulbs, how many different samples can be chosen?
Choices:
24
36
66
78
Answer: D
Question: In a game of billiards, A can give B 20 points in 60 and he can give C 40 points in 60. How many points can B give C in a game of 100?
Choices:
27
50
21
17
Answer: B
Question: The perimeter of a triangle is 40 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle
Choices:
B)828
C)50
D)34
E)35
Answer: B
Question: The length Q of a rectangle is decreased by 15% and its width is increased by 40%. Does the area of the rectangle decrease or increase and by what percent?
Choices:
Decreases by 25%
Increases by 6%
Increases by 19%
Increases by 25%
Answer: C
Question: The largest natural number which exactly divides the product of any four consecutive natural numbers is
Choices:
12
24
36
48
Answer: B
Question: The average weight of 25 boys sitting in a boat had some value. A new person added to them whose weight was 60 kg only. Due to his arrival, the average weight of all the boys decreased by 10 kg. Find the average weight of first 25 boys?
Choices:
203
320
260
192
Answer: B
Question: On one particular day, Beth's garden bloomed 1235 flowers. If Beth separates her flowers evenly across 9 different vases, how many flowers would remain with her.
Choices:
2 Flowers
3 Flowers
4 Flowers
5 Flowers
Answer: A
Question: A girl sold a book at a profit of 7%. Did she sold it for Rs.7.50 more, 22% would have been gained. Find the CP?
Choices:
45%
50%
60%
69%
Answer: B
Question: Which of the following number should be added to 11158 to make it exactly divisible by 77?
Choices:
5
8
7
9
Answer: C
Question: If p is a positive integer and p^2 is divisible by 12, then the largest positive integer that must divide p ^3 is
Choices:
2^6
3^3
6^3
12^2
Answer: C
Question: 40, 45, 50, 55, 65, 75, 75, 100, 100, 100.
The list above shows the scores of 10 schoolchildren on a certain test. If the standard deviation of the 10 scores is 22.2, rounded to the nearest tenth, how many of the scores are more than 1 standard deviation below the mean of the 10 scores?
Choices:
2
3
4
5
Answer: A
Question: Each of the products produced yesterday was checked by worker x or worker y. 0.5% of the products checked by worker x are defective and 0.8% of the products checked by worker y are defective. If the total defective rate of all the products checked by worker x and worker y is 0.74%, what fraction of the products was checked by worker y?
Choices:
2/3
3/5
3/4
4/5
Answer: D
Question: seven family members: 5 grandchildren (3 brothers and 2 sisters) and their 2 grandparents are to be seated around a circular table. How many different seating arrangements are possible so that 2 sisters are seated between any two of the three brothers?
Choices:
72
1440
2880
8640
Answer: A
Question: A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 42 years now, the son's age five years back was:
Choices:
14 years
33 years
16 years
39 years
Answer: C
Question: In the circular region shown above, sections A and B represent 3/8 and 5/11, respectively, of the area of the circular region. Section C represents what fractional part of the area of the circular region?
Choices:
15/88
5/22
45/88
73/88
Answer: A
Question: Which of the following is(are) false for a@b=b@a?
I. a@b=ab+ba
II. a@b=(a+b)(a-b)
III. a@b=(a/b)+(b/a)
Choices:
only Ⅰ
only Ⅲ
only ⅠⅢ
only ⅡⅢ
Answer: A
Question: You have 5 sticks of lengths 10, 30, 40, 50, and 60 centimeters. The number of non-congruent triangles that can be formed by choosing three of the sticks to make the sides is
Choices:
4
7
10
12
Answer: A
Question: 10 men working 6 hrs per day manufacture 200 shoes in 18 days. How many hours a day must 15 men work to manufacture the same 200 shoes in 12 days?
Choices:
6
12
15
18
Answer: A
Question: Which of the following inequalities is equivalent to −1 < x < 5?
Choices:
|x + 2| < 3
|x + 3| < 5
|x - 2| < 3
None of the above
Answer: C
Question: P and Q started a business investing Rs. 85,000 and Rs. 15,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?
Choices:
17:4
17:8
17:1
17:3
Answer: D
Question: A part-time employee’s hourly wage was increased by 10%. She decided to decrease the number of hours worked per week so that her total income did not change. By approximately what percent should the number of hours worked be decreased?
Choices:
9%
25%
50%
100%
Answer: A
Question: The C.I. on a certain sum for 2 years Rs.41 and the simple interest is Rs.40. What is the rate percent?
Choices:
5%
6%
4%
2%
Answer: A
Question: In how many ways can four different rings be worn on four fingers of one hand?
Choices:
1
15
16
18
Answer: A
Question: If six persons sit in a row, then the probability that three particular persons are always together is ?
Choices:
1/7
1/2
1/1
1/9
Answer: B
Question: Seven family members are seated around their circular dinner table. If only arrangements that are considered distinct are those where family members are seated in different locations relative to each other, and Michael and Bobby insist on sitting next to one another, then how many distinct arrangements around the table are possible?
Choices:
240
360
480
720
Answer: A
Question: What is the sum of two consecutive even numbers, the difference of whose squares is 84?
Choices:
38
42
46
48
Answer: B
Question: In what time will a train 140 meters long cross an electric pole, if its speed is 210 km/hr
Choices:
4.5 seconds
3 seconds
2.4 seconds
None of these
Answer: C
Question: Bell and Carol are partners in a business, they invested Rs. 25,800 and Rs. 32,000 respectively.If the business yielded a total profit of Rs. 21,500, what is Carol's share?
Choices:
11903.11
15103.11
11979.11
11990.11
Answer: A
Question: Two different primes may be said torhymearound an integer if they are the same distance from the integer on the number line. For instance, 3 and 7 rhyme around 5. What integer R between 1 and 20, inclusive, has the greatest number of distinct rhyming primes around it?
Choices:
15
17
R=18
20
Answer: C
Question: There is a 100 pound watermelon laying out in the sun. 99 percent of the watermelon's weight is water. After laying out for a few hours 98 percent of the watermelon's weight is water.
How much water evaporated?
Choices:
B)30
C)40
D)50
E)10
Answer: C
Question: What is the dividend. divisor 19, the quotient is 9 and the remainder is 5?
Choices:
B)134
C)148
D)176
E)160
Answer: C
Question: A person spends 1/3rd of the money with him on clothes, 1/5th of the remaining on food and 1/4th of the remaining on travel. Now, he is left with Rs 600. How much did he have with him in the beginning?
Choices:
s 1500
s 300
s 450
s 550
Answer: A
Question: Steve traveled the first 2 hours of his journey at 40 mph and the last 3 hours of his journey at 80 mph. What is his average speed of travel for the entire journey?
Choices:
62mph
63mph
64mph
65mph
Answer: C
Question: x, y, a, and b are positive integers of H. 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: John, a painter, has 9 jars of paint: 4 are white, 2 are yellow, and the rest are brown. John will combine 3 jars of paint into a new container to make a new colour, which he will name according to the following conditions: 1) C1, if the paint contains 2 jars of brown paint and no white paint 2) C2, if the paint contains 3 jars of brown paint. 3) J1, if the paint contains at least 2 jars of white paint 4) J2, if the paint contains exactly 1 jar of white paint What is the probability that the new colour will be a shade of J (J1 or J2)?
Choices:
84/37
21/37
74/42
37/42
Answer: D
Question: A sum of money amounts to Rs.6690 after 3 years and to Rs.10,035 after 6 years on compound interest.find the sum.
Choices:
4460
37687
26698
2911
Answer: A
Question: Arun Kumar, Chennakesavan , Raghu and Krishnan always have discussions on various issues such as politics, international affairs, current affairs, studies etc. Once Raghu posed the following query to other group members:Find the range of real values of x satisfying the inequalities 4x - 5 > 7 and 5x - 14 > 16"
Choices:
x > 6
x < 3
x < 6
none
Answer: A
Question: A searchlight on top of the watchtower makes 4 revolutions per minute. What is the probability that a man appearing near the tower will stay in the dark for at least 12 seconds?
Choices:
2/3
1/3
1/4
1/5
Answer: D
Question: John and Steve are speed walkers in a race. John is 16 meters behind Steve when he begins his final push. John blazes to the finish at a pace of 4.2 m/s, while Steve maintains a blistering 3.7 m/s speed. If John finishes the race 2 meters ahead of Steve, how long was John’s final push?
Choices:
17 seconds
36 seconds
34 seconds
51 seconds
Answer: B
Question: The compound ratio of 2/3, 6/7, 1/3 and 1/8 is given by?
Choices:
1/42
1/46
1/48
1/43
Answer: A
Question: How many words, with or without meaning, can be formed using all letters of the word GOOD using each letter exactly once?
Choices:
20
22
23
24
Answer: D
Question: At what time between 7 and 8 o'clock will the hands of a clock be in the same straight line but, not together?
Choices:
5x6/11 min past 7
5x5/22 min past 7
5x5/11 min past 7
5/22 min past 7
Answer: C
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 20 such machines produce in 4 minutes?
Choices:
1,800
2,700
3,600
64,800
Answer: C
Question: X divided by 899 gives a remainder 63. What remainder will be obtained by dividing X by 29?
Choices:
10052
100528
10057
100182
Answer: C
Question: Twelve men can complete a piece of work in 32 days. The same work can be completed by 16 women in 36 days and by 48 boys in 16 days. Find the time taken by one man, one woman and one boy working together to complete the work?
Choices:
(64 * 36)/13 days
(64 * 39)/13 days
(84 * 36)/13 days
(61* 36)/13 days
Answer: A
Question: A man rows 750 m in 675 seconds against the stream and returns in 7 and half minutes. His rowing
speed in sƟll water is
Choices:
5 kmph
6 kmph
7 kmph
None of these
Answer: A
Question: There are 5 men and 11 women. In how many ways one can select a group of 6 with at-least 3 men?
Choices:
1936
1937
1938
1939
Answer: A