antoine-444/aqua_rat_dataset huggingface dataset:
Question: Three archers each have an equal chance of hitting a target, and if only two of the three shoot the likelihood of the two hitting the target is 4/9 . What is the likelihood of all three men missing the target?
Choices:
probability is 1/27
8/27
19/27
26/27
Answer: A
Question: When average age of 21 members are 0, how many members greater than 0?
Choices:
20
21
24
25
Answer: A
Question: An owner of a pizza stand sold small slices of pizza for Rs. 150 each and large slices for Rs. 250 each. One night he sold 5000 slices, for a total of Rs. 10.50 lakh. How many small slices were sold?
Choices:
2000
4000
2500
3500
Answer: A
Question: Ten years ago, a mother was four times older than her daughter. After ten years, the mother will be twice older than daughter. The present age of the daughter is
Choices:
21
24
20
19
Answer: C
Question: In what time will Rs.1000 become Rs.1331 at 10% per annum compounded annually
Choices:
3 Years
4 Years
5 Years
None of these
Answer: A
Question: The jogging track in a sports complex is 1000 meters in circumference. Deepak and his wife start from the same point and walk in opposite directions at 20 km/hr and 13 km/hr respectively. They will meet for the first time in?
Choices:
33min
35min
25min
20min
Answer: A
Question: In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
Choices:
63
40
65
98
Answer: A
Question: From the below series find the remainder? 1201 × 1203 ×1205 × 1207 is divided by 6?
Choices:
3
5
6
8
Answer: A
Question: If 0 < a < b and k = (2a + 12b)/b , which of the following must be true?
Choices:
k < 7
k < 9
k > 9
k > 11
Answer: D
Question: A plant manager must assign 12 new workers to one of five shifts. She needs a first, second, and third shift, and two alternate shifts. Each of the shifts will receive 2 new workers. How many different ways can she assign the new workers?
Choices:
23760
33000
48600
54000
Answer: A
Question: In the coordinate plane, Line A has a slope of -1 and an x-intercept of 1. Line B has a slope of 5 and a y-intercept of -5. If the two lines intersect at the point (a,b), what is the sum a+b?
Choices:
1
2
3
4
Answer: A
Question: If A= {2, 4, 6}, B= {1, 2, 5, 7}, and C= {2, 3, 4, 6}. Find A-(B U C)
Choices:
{2 ,3 ,5 }
{5 }
None of these
Answer: B
Question: A radio station has to choose two days 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:
15
21
35
56
Answer: B
Question: John has on his shelf four books of poetry, four novels, and two reference works. Suppose from these ten books, we were to pick two books at random. What is the probability that we pick one novel and one poetry?
Choices:
2/5
3/10
7/20
16/45
Answer: D
Question: How many trailing Zeroes does 53! + 54! have?
Choices:
13
14
15
16
Answer: A
Question: A person took some amount with some interest for 5 years, but increase the interest for 1%, he paid Rs.250/- extra, then how much amount he took?
Choices:
Rs.6000/-
Rs.4000/-
Rs.5000/-
None of these
Answer: C
Question: One millisecond is 0.001 of a second. The costs for a single run of a computer program are $1.07 for operating-system overhead, $0.019 per millisecond of computer time, and $4.35 for the mounting of a data tape. What is the total of these three costs for 1 run of a program that requires 1.5 seconds of computer time ?
Choices:
$8.87
$33.92
$35.57
$39.62
Answer: B
Question: Mr. Kramer, the losing candidate in a two-candidate election, received 942,568 votes, which was exactly 40 percent of all votes cast. Approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast?
Choices:
12%
15%
17%
20%
Answer: C
Question: Two trains, one from P to Q and the other from Q to P, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 36 hours respectively. The ratio of their speeds is
Choices:
4:2
4:5
6:3
3:6
Answer: C
Question: If 1+2+3+...+n=n (n+1), then 3 (1+3+5+....+69)=?
Choices:
3675
3475
3375
3275
Answer: A
Question: The length of a train and that of a platform are equal. If with a speed of 108 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
Choices:
299
276
750
900
Answer: D
Question: Given that E and F are events such that P(E) = 0.16, P(F) = 0.4 and P(E n F) = 0.4,
find P (E|F) and P(F|E)
Choices:
1/7
1/4
1/3
1/5
Answer: B
Question: In 1995, there are 28 days in February and there are 365 days in the year. In 1996, there are 29 days in February and there are 366 days in the year. If the date February 12, 1995 is a Wednesday, then which one of the following would the date February 12, 1996 be?
Choices:
Friday
Saturday
Sunday
Monday
Answer: A
Question: In a covering a certain distance, the speeds of A and B are in the ratio of 3:4. A takes 30 minutes more than B to reach the destination. The time taken by A to reach the destination is?
Choices:
2 hrs
5 hrs
6 hrs
4 hrs
Answer: A
Question: In a workshop there are 4 kinds of beds, 2 kinds of closets, 2 kinds of shelves and 7 kinds of chairs. In how many ways can a person decorate his room if he wants to buy in the workshop one shelf, one bed and one of the following: a chair or a closet?
Choices:
80.
56.
48.
72.
Answer: D
Question: What is the average of first 21 multiples of 6 ?
Choices:
A)66
C)79
D)81
E)82
Answer: A
Question: Machine A and machine B are each used to manufacture 550 sprockets. It takes machine A 10 hours longer to produce 660 sprockets than machine B. Machine B produces 10% more sprockets per hour than machine A. How many sprockets per hour does machineAproduce?
Choices:
5.5
60
100
110
Answer: A
Question: Which of the following numbers is two more than the square of an odd integer?
Choices:
14,361
15,131
15,737
15,981
Answer: B
Question: How many positive integers S less than 20 are either a multiple of 2, an odd multiple of 9, or the sum of a positive multiple of 2 and a positive multiple of 9 ?
Choices:
18
17
16
15
Answer: D
Question: Two men started from the same place walk at the rate of 10kmph and 12kmph respectively. What time will they take to be 16 km apart, if they walk in the same direction?
Choices:
6hours
8hours
16hours
12hours
Answer: B
Question: John went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choices:
19.7
19.9
20.9
21
Answer: A
Question: Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother six years younger to her was born. What is the difference between the ages of her parents?
Choices:
4 years
6 years
7 years
8 years
Answer: D
Question: A group of tourists wants to visit only two or three of the four cities A, B, C, and D. How many travel itineraries can they make? All cities are connected to one another and please note that visiting the same cities in a different order counts as a different itinerary.
Choices:
28
32
36
40
Answer: C
Question: The difference between a number and its two-fifth is 510. What is 12% of that number?
Choices:
110
76
102
86
Answer: C
Question: A farming field can be ploughed by 6 tractors in 4 days. When 6 tractors work together, each of them ploughs 120 hectares a day. If two of the tractors were moved to another field, then the remaining 4 tractors could plough the same field in 5 days. How many hectares a day would one tractor plough then?
Choices:
144
256
320
169
Answer: A
Question: subash can copy 50 pages in 10 hrs.subash and prakash together can copy 300 pages in 40 hours.in how much time prakash can copy 10 pages.
Choices:
10
12
4
16
Answer: C
Question: What is the absolute value of twice the difference of the roots of the equation W=5y^2 − 20y + 15 = 0 ?
Choices:
1
2
3
4
Answer: D
Question: The product Z of two prime numbers is between 15 and 36. If one of the prime numbers is greater than 2 but less than 6 and the other prime number is greater than 8 but less than 24, then what is Z?
Choices:
33
28
21
15
Answer: A
Question: Laura can paint 1/x of a certain room in 20 minutes. What fraction Z of the same room can Joseph paint in 20 minutes if the two of them can paint the room in an hour, working together at their respective rates?
Choices:
3x/(x-3)
(x – 3)/(3x)
x/(x-3)
(x-3)/x
Answer: B
Question: The Malibu Country Club needs to drain its pool for refinishing. The hose they use to drain it can remove 60 cubic feet of water per minute. If the pool is 80 feet wide by 150 feet long by 10 feet deep and is currently at 100% capacity, how long will it take to drain the pool?
Choices:
1600
1800
1500
2000
Answer: D
Question: If one-third of one-fourth of a number is 25, then three-tenth of that number is:
A. 35
Choices:
90
26
54
01
Answer: A
Question: 13 sheeps and 9 pigs were bought for Rs. 1291.85.If the average price of a sheep be Rs. 74. What
is the average price of a pig.
Choices:
Rs. 36.55
Rs. 35.65
Rs. 36.65
Rs. 33.65
Answer: C
Question: The probability that a number selected at random from the first 50 natural numbers is a composite number is ?
Choices:
17/25
17/17
17/88
17/22
Answer: A
Question: What percent is 36 paisa's of 12 rupees?
Choices:
3 %
5 %
6 %
7 %
Answer: A
Question: add 11% of 36 and 12% of 64.
Choices:
10.5
11.5
12
15
Answer: B
Question: Without stoppages, a train travels certain distance with an average speed of 400 km/h, and with stoppages, it covers the same distance with an average speed of 360 km/h. How many minutes per hour the train stops ?
Choices:
4
5
6
7
Answer: C
Question: 30 buses are running between two places P and Q. In how many ways can a person go from P to Q and return by a different bus?
Choices:
870
576
676
700
Answer: A
Question: Earl can stuff advertising circulars into envelopes at the rate of 36 envelopes per minutes and Ellen requires a minutes and half to stuff the same number of envelops.Working together,how long will it take Earl and Ellen to stuff 240 envelopes
Choices:
5 minutes
7 minutes
3 minutes
4 minutes
Answer: D
Question: A man buys 25 lts of liquid which contains 20% of the liquid and the rest is water. He then mixes it with 25 lts of another mixture with 30% of liquid. What is the % of water in the new mixture?
Choices:
82
73
75
85
Answer: C
Question: 1300 boys and 700 girls are examined in a test; 52% of the boys and 43% of the girls pass. The percentage of the total who failed is ?
Choices:
B)52.4%
C)81.2%
D)51.15%
E)69.1%
Answer: C
Question: he population of a city is 160,000. If it increases at the rate of 6% per annum, then what will be its population 2 years hence?
Choices:
1797723
179776
179728
179718
Answer: B
Question: How many positive integers less than 50 are multiples of 2 but NOT multiples of 5?
Choices:
6
8
10
20
Answer: D
Question: Rewrite (10^38) – 85 as a base 10 integer, what is the sum of the digits in that integer?
Choices:
357
330
370
360
Answer: B
Question: JC has to visit at least 2 European cities on his vacation trip. If he can visit only London, Paris, Rome, or Madrid, how many different itineraries, defined as the sequence of visited cities, can JC create?
Choices:
36
48
60
72
Answer: C
Question: If two of the four expressions a + b , b + 7b, a - b, and 7a - b are chosen at random, what is the probability that their product will be of the form of a^2-(xb)^2, where x is an integer?
Choices:
1/7
1/6
1/8
1/5
Answer: B
Question: A small, experimental plane has three engines, one of which is redundant. That is, as long as two of the engines are working, the plane will stay in the air. Over the course of a typical flight, there is a 1/3 chance that engine one will fail. There is a 65% probability that engine two will work. The third engine works only half the time. What is the probability that the plane will crash in any given flight?
Choices:
1/4
1/2
7/24
17/24
Answer: D
Question: Shiwani thought of a two-digit number and divided the number by the sum of the digits of the number. He found that the remainder is 3. Devesh also thought of a two-digit number and divided the number by the sum of the digits of the number. He also found that the remainder is 3. Find the probability that the two digit number thought by Shiwani and Devesh is TRUE?
Choices:
1/14
1/12
1/13
1/17
Answer: A
Question: In a certain pond, 90 fish were caught, tagged, and returned to the pond. A few days later, 90 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what`s the approximate number of fish in the pond?
Choices:
625
1250
2500
4091
Answer: D
Question: How many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Choices:
277
500
127
181
Answer: B
Question: In how many of ways can 4 balls be placed in 3 tins if any number of balls can be placed in any tin?
Choices:
5P4
3^4
4^5
5^5
Answer: B
Question: If the number 653ab is divisible by 90, then (a + b) = ?
Choices:
3
4
6
8
Answer: B
Question: For all positive integers x, f(x)=f(x+1). If f(3)=15, then what is f(7)?
Choices:
12
15
21
35
Answer: B
Question: A shopkeeper sold an article for 720 after giving 10% discount on the labelled price and made 20% profit on the cost price. What would have been the percentage profit,had he not given the discount’?
Choices:
30%
23%
28%
None of these
Answer: D
Question: I bought two books; for Rs.480. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?
Choices:
280
299
266
299
Answer: A
Question: In the new budget the price of milk rose by 20%. By how much percent must a person reduce his consumption so that his expenditure on it does not increase?
Choices:
9.1%
10.9%
16.67%
15%
Answer: C
Question: A car is running at a speed of 90 kmph. What distance will it cover in 15 second?
Choices:
375 m
373 m
372 m
371 m
Answer: A
Question: A motor car starts with the speed of 70km/hr with its speed increasing every two hours by 10kmph. In how many hours will it cover 345 kms
Choices:
5 hrs
6 hrs
4 ½ hrs
5 hrs
Answer: C
Question: A military commander has to choose 2 soldiers out of a company of 4 for guarding the headquarters. How many different group combinations of 2 does he have to choose from?
Choices:
10
12
15
35
Answer: A
Question: In a group of 140 people, 90 have an age of more 30 years, and the others have an age of less than 20 years. If a person is selected at random from this group, what is the probability the person's age is less than 20?
Choices:
0.35
0.65
0.75
0.85
Answer: A
Question: In a apartment, 30% of the people speak English, 20% speak Hindi and 10% speak both. If a people is selected at random, what is the probability that he has speak English or Hindi?
Choices:
2/7
2/5
3/7
3/11
Answer: B
Question: If a fraction is multiplied by itself and then divided by the reciprocal of the same fraction, the result is 18 26/27. Find the fraction.
Choices:
1 1/3
2 2/3
3 /3
None of these
Answer: B
Question: If 6 spiders make 3 webs in 7 days, then how many days are needed for 1 spider to make 1 web?
Choices:
12
14
15
16
Answer: B
Question: Company A has 13 employees, 8 of whom belong to the union. If 5 people work any one shift, and the union contract specifies that at least 4 union members work each shift, then how many different combinations of employees might work any given shift?
Choices:
231
336
350
406
Answer: D
Question: 3 Years ago, the average age of a family of 5 members was 20 years. A baby having been born, the average age of the family is the same today. The present age of the baby is
Choices:
1.5 Years.
2 Years.
3 Years.
5 Years.
Answer: D
Question: The salary of a worker is first increased by 30% and afterwards reduced by 30%. What is net change in his salary?
Choices:
10% increase
9% decrease
12% decrease
15% increase
Answer: B
Question: Set A consists of integers -9, 8, 3, 10, and J; Set B consists of integers -2, 5, 0, 7, -6, and Q. If R is the median of Set A and W is the mode of set B, and R^W is a factor of 34, what is the value of Q if J is negative?
Choices:
Q=0
1
2
5
Answer: A
Question: To asphalt 1km road, 30 men spent 12 days working 8 hours per day. How many days, 20 men will spend to asphalt a road of 2km working 14 hours a day?
Choices:
23
24
20.57
22
Answer: C
Question: The average age of a committee of 10 members is 25 years. A member aged 55 years retired and his place was taken by another member aged 35 years . The average age of
present committee is;
Choices:
23 years
36 years
35 years
37 years
Answer: A
Question: A board 6ft. 9 inches long is divided into 3 equal parts . What is the length of each part?
Choices:
3ft. 7 inches
2ft. 3 inches
2ft. 7 inches
1ft. 7 inches
Answer: B
Question: A company pays 18.5% dividend to its investors. If an investor buys Rs.50 shares and gets 25% on investment, at what price did the investor buy the shares?
Choices:
66
18
37
01
Answer: C
Question: A man saves 30% of his monthly salary. If an account of dearness of things he is to increase his monthly expenses by 30%, he is only able to save Rs. 300 per month. What is his monthly salary?
Choices:
Rs. 3750
Rs. 5000
Rs. 5500
Rs. 6500
Answer: A
Question: What least number should be subtracted from 3,381 so that the remainder when divided by 9, 11, and 17 will leave in each case the same remainder 8 ?
Choices:
7
8
12
15
Answer: A
Question: Company X provides bottled water to its employees in 10 liter bottles, $2 each. At least how many 10L bottles must Company X buy monthly, so that new contract with $50 fixed monthly rate and $1 for 50L bottle each paid off? (Assume that no other costs apply)
Choices:
28
30
31
32
Answer: A
Question: X completes a work in 120 days and Y complete the same work in 30 days. If both of them work together, then the number of days required to complete the work will be?
Choices:
24 days.
34 days.
40 days.
45 days.
Answer: A
Question: There are 11 women and 9 men in a certain club. If the club is to select a committee of 2 women and 2 men, how many different such committees are possible?
Choices:
720
1,060
1,520
1,980
Answer: D
Question: The LCM of two numbers is 2310 and HCF is 30. If one of the numbers is 210. Then what is the other number ?
Choices:
825
330
582
465
Answer: B
Question: Between 100 and 200, how many numbers are there in which one digit is the average of the other two?
Choices:
11
10
8
9
Answer: A
Question: mixture contains alcohol and water in the ratio 4 : 3. If 8 liters of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture.
Choices:
99
27
4
29
Answer: C
Question: A is 20 percent more efficient than B. If the two person can complete a piece of work in 60 days.in how many days. A working alone can complete the work
Choices:
110
287
279
2781
Answer: A
Question: Sam’s car was fined when he gave Joe and Peter a ride, so they decided to help Sam pay the fine. Joe paid $6 more than 1/4 of the fine and Peter paid $6 less than 1/3 of the fine, leaving pay $10 less than 1/2 the fine to complete the payment. What fraction of the fine did Sam pay?
Choices:
$50
$35
$44
$45
Answer: A
Question: A and B invests Rs.8000 and Rs.9000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year?
Choices:
32 : 42
32 : 45
32 : 41
42 : 45
Answer: B
Question: 65 + 5 * 12 / (180/3) = ?
Choices:
77
29
66
21
Answer: C
Question: Mother is aged 3times more than her daughter Rose. After 8 years, she would be two and a 1/2times of Rose's age. After further 8 years, how many times would he be of Rose's age?
Choices:
2
3
5
6
Answer: A
Question: What approximate value should come in place of the question mark (?) in the following equation ?
2⁄7 of 1596 + 3015 = ? – 2150
Choices:
48000
5610
58000
6300
Answer: B
Question: If (1 – 1.25)N = 3, then N =
Choices:
−140
−4
4
-12
Answer: D
Question: If a and b are positive integers, which of the following cannot be odd?
Choices:
(2+4a)/(4+4b)
a/b
(4+a)/(2+4b)
(4+a)/(1+4b)
Answer: A
Question: The telephone bill of a certain establishment is party fixed and partly varies as the number of calls consumed. When in a certain month 540 calls made the bill is Rs.1800. In another month 620 calls are consumed then the bill becomes Rs.2040. In another month 500 units are consumed due to more holidays. The bill for that month would be :
Choices:
Rs.1680
Rs.1840
Rs.1950
Rs.1850
Answer: A
Question: Three people each took 4 tests. If the ranges of their scores in the 4 practice tests were 17, 28 and 35, what is the minimum possible range in scores of the three test-takers?
Choices:
b) 28
c) 35
d) 45
e) 80
Answer: A
Question: Mary rolls a die 5 times. What is the probability that she gets a one on the last one of the five rolls?
Choices:
7775/7776
none
1
888/881
Answer: A
Question: Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is?
Choices:
16
18
25
20
Answer: A
Question: Three grades of milk are 1 percent,4 percent and 3 percent fat by volume. If x gallons of the 1 percent grade, y gallons of the 2 percent grade, and z gallons of the 3 percent grade are mixed to give x+y+z gallons of a 1.5 percent grade, what is x in terms of y and z?
Choices:
(y +z) / 4
2y + 3z
3y + z
4y + 3z
Answer: D
Question: Peter bought an item at 20% discount on its original price. He sold it with 40% increase on the price he bought it. The sale price is by what percent more than the original price?
Choices:
7.5
10
12
None
Answer: C
Question: The area of a rectangular plot is 24 times its breadth. If the difference between the length and the breadth is 10 metres, what is its breadth?
Choices:
14 metres
7.5 metres
Data inadequate
None of these
Answer: A
Question: If p and q are positive integers, how many integers are larger than pq and smaller than p(q + 5)?
Choices:
P + 2
p – 2
2p – 1
5p - 1
Answer: D
Question: A, B and C have Rs.500 between them, A and C together have Rs.200 and B and C Rs.350. How much does C have?
Choices:
50
87
76
66
Answer: A
Question: A man sells a horse for Rs.200 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?
Choices:
299
277
860
460
Answer: D
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
378
240
388
771
Answer: B
Question: The average age of applicants for a new job is 32, with a standard deviation of 8. The hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age. Assuming that all applicants' ages are integers and that the endpoints of the range are included, what is the maximum number of different ages of the applicants?
Choices:
77
7
18
34
Answer: B
Question: Peter has $642,986 in his savings account. What is the least amount of money (in whole number of dollars) that he must add to his account if he wants to split this money evenly among his nine children?
Choices:
$642,987
$642,988
$642,989
$642,990
Answer: A
Question: Carol and Jordan draw rectangles of equal area. If Carol's rectangle measures 12 inches by 15 inches and Jordan's rectangle is 6 inches long, how wide is Jordan's rectangle, in inches?
Choices:
26
28
30
32
Answer: C
Question: The ratio of two natural numbers is 5:6. If a certain number is added to both the numbers, the ratio becomes 7:8. If the larger number exceeds the smaller number by 10, find the number added?
Choices:
298
20
28
12
Answer: B
Question: What is the area of square field whose side of length 15 m?
Choices:
225
277
266
279
Answer: A
Question: The average age of the mother and her six children is 12 years which is reduced by 5 years if the age of the mother is excluded. How old is the mother?
Choices:
42 years
50 years
52 years
None
Answer: A
Question: An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of:
Choices:
360 km/hour
600km/hour
720km/hour
None of these
Answer: C
Question: Carina has 85 ounces of coffee divided into 5- and 10-ounce packages. If she has 2 more 5-ounce packages than 10-ounce packages, how many 10-ounce packages does she have?
Choices:
5
7
8
9
Answer: A
Question: Sundar invested Rs. 4455 in Rs. 10 shares quoted at Rs. 8.25. If the rate of dividend be 12%, his annual income
Choices:
648
500
700
750
Answer: A
Question: We define that K@J is the product of j number from k in increasing order for positive integers K, J. For example, 6@4=6*7*8*9. If A=2020and B=2120, what is the value W of the ratio A/B?
Choices:
1/2
2/3
1/4
1/5
Answer: A
Question: In a family, each daughter has the same number of brothers as she has sisters and each son has twice as many sisters as he has brothers. How many sons are there in the family ?
Choices:
3
4
5
6
Answer: A
Question: If x and y are perfect squares, then which four of the following is not necessarily a perfect square?
Choices:
xy
4x
x+y
x^5
Answer: D
Question: There are 70 doors marked with numbers 1 to 70. And there are 70 individuals marked 1 to 70.
An operation on a door is defined as changing the status of the door from open to closed or vice versa. All doors are closed to start with.
Now one at a time one randomly picked individual goes and operates the doors. The individual however operates only those doors which are a multiple of the number he/she is carrying. For e.g. individual marked with number 5 operates the doors marked with the following numbers: 5, 10, 15 ...70.
If every individual in the group get one turn then how many doors are open at the end?
Choices:
1
2
7
8
Answer: D
Question: [(11/2 ÷ 1/2 × 11/2)]/[(11/2 × 1/2 ÷ 11/2)] = ?
Choices:
101
91
81
121
Answer: D
Question: A and B together have $ 1210. If of A's amount is equal to of B's amount, how much amount does B have?
Choices:
489
484
365
342
Answer: B
Question: The sum of two numbers is 528 and their H.C.F is 33. The number of pairs of numbers satisfying the above condition is
Choices:
4
8
12
14
Answer: A
Question: A motorcyclist started riding at highway marker A, drove 120 miles to highway marker B, and then, without pausing, continued to highway marker C, where she stopped. The average speed of the motorcyclist, over the course of the entire trip, was 25 miles per hour. If the ride from marker A to marker B lasted 3 times as many hours as the rest of the ride, and the distance from marker B to marker C was half of the distance from marker A to marker B, what was the average speed, in miles per hour, of the motorcyclist while driving from marker B to marker C?
Choices:
45
108
55
60
Answer: B
Question: B completes a work in 8 days. A alone can do it in 10 days. If both work together, the work can be completed in how many days?
Choices:
4.44 days
5 days
6.44 days
7 days
Answer: A
Question: January 1, 2007 was Monday. What day of the week lies on Jan. 1, 2008?
Choices:
Tuesday
sunday
friday
wednesday
Answer: A
Question: The height of a triangle is decreased by 5% and its base increased by 10%. Its area will
Choices:
increase by 12.5%
increase by 4.5%
Increase by 25%
None of these
Answer: B
Question: The sum of ages of 4 children born 2 years different each is 40 yrs. What is the age of the Elder child?
Choices:
13
16
17
18
Answer: A
Question: A city in the US has a basketball league with three basketball teams, the Aziecs, the Braves and the Celtics. A sports writer notices that the tallest player of the Aziecs is shorter than the shortest player of the Braves. The shortest of the Celtics is shorter than the shortest of the Aziecs, while the tallest of the Braves is shorter than the tallest of the Celtics. The tallest of the Braves is taller than the tallest of the Aziecs.
Which of the following can be judged with certainty ?
Choices:
X only
Y only
8 onlY
T only
Answer: B
Question: Lisa and Robert have taken the same number of photos on their school trip. Lisa has taken 3 times as many photos as Claire and Robert has taken 28 more photos than Claire. How many photos has Claire taken?
Choices:
8
10
12
14
Answer: D
Question: If the wheel is 42 cm then the number of revolutions to cover a distance of 1056 cm is?
Choices:
4
6
8
19
Answer: A
Question: The present worth of Rs. 1404 due in two equal half-yearly installments at 8% per annum simple interest is :
Choices:
Rs. 1325
Rs. 1350
Rs. 1500
Rs. 1800
Answer: A
Question: Solution X is 20% chemical A and 80% chemical B by volume; Solution Y is 30% chemical A and 70% chemical B. If a mixture of X and Y is 22% chemical A, what percent of the mixture is Solution X?
Choices:
44%
50%
80%
90%
Answer: C
Question: If a : b = 2 : 3 and b : c = 5 : 7, then find a : b : c.
Choices:
10 : 15 : 27
10 : 15 : 22
10 : 15 : 12
10 : 15 : 28
Answer: A
Question: Jaydeep purchased 25 kg of rice at the rate of 16.50 per kg and 35 kg of rice at the rate of 24.50 per kg. He mixed the two and sold the mixture. Approximately, at what price per kg did he sell the mixture to make 25 per cent profit?
Choices:
26.5
28.5
30.0
29.0
Answer: A
Question: Jim takes a seconds to swim t meters at a constant rate from point M to point N in a pool. Roger, who is faster than Jim, can swim the same distance in b seconds at a constant rate. If Jim leaves point M the same time that Roger leaves point N, how many fewer meters will Jim have swum than Roger when the two swimmers pass each other?
Choices:
c(a-b)/a+b
c(a+b)/a-b
t(a-b)/a+b
ab(b-a)/a+b
Answer: C
Question: A committee of 5 is to be selected from among 4 boys and 6 girls. I how many ways can this be done if the committee is to consist of at-least one Girl?
what is the answer choice and how?
Choices:
194
230
350
455
Answer: A
Question: If a+5/b is a prime integer, which of the following must be true?
1.b=5a
2. b is a prime integer
3. a+5/b is ODD.
Choices:
None
2 only
1 and 2 only
2 and 3 only.
Answer: A
Question: A car covers a distance of 624 km in 2 2/5 hours. Find its speed?
Choices:
194 kmph
109 kmph
260 kmph
271 kmph
Answer: C
Question: A man traveled a total distance of 900 km. He traveled one-third of the whole trip by plane and the distance traveled by train is two-thirds of the distance traveled by bus. If he traveled by train, plane and bus, how many kilometers did he travel by bus?
Choices:
280
320
360
400
Answer: C
Question: The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2 ?
Choices:
8
10
9
11
Answer: A
Question: If w is divisible by 10 and 4, w must be a multiple of which of the following?
Choices:
12
20
24
36
Answer: B
Question: If r and s are positive integers and r-s=6, which of the following has the greatest value V?
Choices:
2r
r +s
2r-s
2s-r
Answer: A
Question: The present ages of three persons in proportions 2 : 7 : 9. Eight years ago, the sum of their ages was 30. Find their present ages (in years).
Choices:
22,28, 36
21,35, 45
33,42,43
6,21,27
Answer: D
Question: What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for four years?
Choices:
26989
26700
28800
2879
Answer: C
Question: What is the probability of getting exactly 4 heads in a single throw of five fair coins?
Choices:
3/8
3/16
5/32
7/32
Answer: C
Question: Carmelo and LeBron participate in a four-person footrace on the basketball court during All-Star Weekend. If all four contestants finish (including Charles Barkley) and there are no ties, how many different arrangements of finishes are there in which Carmelo defeats LeBron?
Choices:
2520
720
12
42
Answer: C
Question: A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 3 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
Choices:
360
481
729
268
Answer: A
Question: A parking garage rents parking spaces for $10 per week or $24 per month. How much does a person save in a year by renting by the month rather than by the week?
Choices:
$160
$220
$232
$260
Answer: C
Question: A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
Choices:
150m
186m
167m
189m
Answer: A
Question: The first photo shoot takes 3 minutes long and then the following shoots are taken at a rate of 25seconds/shoot as the model is already at the scene. What is the maximum number of photo shoots taken under 10 minuntes ?
Choices:
14
15
16
17
Answer: D
Question: What is the length of the longest pole which can be kept in a room 12 m long, 4 m broad and 2 m high?
Choices:
12.8
11
13
None
Answer: A
Question: How many three letter words are formed using the letters of the word TIME?
Choices:
55
76
24
42
Answer: C
Question: A car travels first 160 km at 75 km/hr and the next 160 km at 70 km/hr. What is the average speed for the first 320 km of the tour?
Choices:
71.12
72.4
71.17
71.13
Answer: B
Question: Mangala completes a piece of work in 10 days, Raju completes the same work in 40 days. If both of them work together, then the number of days required to complete the work is?
Choices:
8 days
14 days
16 days
18 days
Answer: A
Question: raghu, working alone, can paint a room in 6 hours. Peter and John, working independently, can paint the same room in 3 hours and 2 hours, respectively. Tom starts painting the room and works on his own for one hour. He is then joined by Peter and they work together for an hour. Finally, John joins them and the three of them work together to finish the room, each one working at his respective rate. What fraction of the whole job was done by Peter?
Choices:
4/9
1/3
7/18
1/9
Answer: A
Question: Divide $ 1162 among A, B, C in the ratio 35 : 28 : 20.
Choices:
360,392,460
490,382,280
260,160,60
492,390,280
Answer: B
Question: What is the measure of the radius of the circle inscribed in a triangle whose sides measure 4, 11 and 12 units?
Choices:
1.6 units
3 units
5 units
12 units
Answer: A
Question: The parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)
Choices:
23.54
23.51
23.52
23.57
Answer: D
Question: A garrison of 2000 men has provisions for 54 days. At the end of 21 days, a reinforcement arrives, and it is now found that the provisions will last only for 20 days more. What is the reinforcement?
Choices:
1893
1979
1900
1300
Answer: D
Question: Carol is three times Alice’s age but only twice as old as Betty. Alice is twenty years younger than Carol. How old is Betty?
Choices:
29
32
28
15
Answer: D
Question: A pharmaceutical company received $3 million in royalties on the first $20 million in sales of and then $9 million in royalties on the next $108 million in sales. By approximately what percentage did the ratio of royalties to sales decrease from the first $20 million in sales to the next $108 million in sales?
Choices:
15%
45%
52%
56%
Answer: A
Question: Rs.160 contained in a box consists of one rupee, 50 paisa and 25 paisa coins in the ratio 4:5:6. What is the number of 25 paisa coins?
Choices:
110
120
125
130
Answer: B
Question: Joe drives 600 miles at 60 miles per hour, and then he drives the next 120 miles at 40 miles per hour. What is his average speed for the entire trip in miles per hour?
Choices:
55
50
54
56
Answer: A
Question: Two pipes A and B can fill a cistern in 12 and 20 minutes respectively, and a third pipe C can empty it in 30 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
Choices:
13 min
12 min
10 min
17 min
Answer: C
Question: What number should replace the question mark?
24, 30, ?, 60, 84, 114
Choices:
44
48
42
49
Answer: C
Question: 4 pipes can fill a reservoir in 15, 20, 30 and 60 hrs the first was opened at 6 am and 2nd at 7 am and thirds at 8 am and 4th at 9 am when will the reservoir be full?
Choices:
7 hrs
8 hrs
9 hrs
10 hrs
Answer: A
Question: A man took loan from a bank at the rate of 8% p.a. simple interest. After 4 years he had to pay $250 interest only for the period. The principal amount borrowed by him was:
Choices:
$781.25
$761.35
$661.25
$681.55
Answer: A
Question: A train is approaching a tunnel which is AB in length.Ther is a cat inside the tunnel which is 3/8 distance from the starting point of the tunnel.When the train whistes the cat starts to run.The train catches the cat exactly at the entry point of the tunnel.If the cat runs towards the exit,the train catches tha cat exactly at the exit point.The speed of the train is greater than the speed of the cat in what order?
Choices:
4:1
1:3
3:1
1:2
Answer: A
Question: If M and N are positive integers that have remainders of 2 and 3, respectively, when divided by 5, which of the following could NOT be a possible value of M+N?
Choices:
52
35
25
10
Answer: A
Question: What are the last two digits of 63*35*37*82?
Choices:
30
40
70
80
Answer: A
Question: Samantha is driving from City A to City B. The distance between the two cities is 88 miles. She is driving at a constant speed of 22 miles per hour, and has been travelling for half an hour after starting from City A. What percent of the total distance she is yet to cover?
Choices:
87.5
88
90
97.5
Answer: A
Question: Laura took out a charge account at the General Store and agreed to pay 8% simple annual interest. If she charges $35 on her account in January, how much will she owe a year later, assuming she does not make any additional charges or payments?
Choices:
$37.10
$37.16
$37.8
$38.80
Answer: C
Question: What is the sum of all 3 digit numbers that leave a remainder of '2' when divided by 3?
Choices:
164,850
164,749
149,700
156,720
Answer: A
Question: Insert the missing number.
8, 7, 11, 12, 14, 17, 17, (....)
Choices:
20
22
24
26
Answer: B
Question: Car E and Car Y traveled the same 80-mile route. If Car E took 2 hours and Car Y traveled at an average speed that was 50 percent faster than the average speed of Car E, how many hours did it take Car Y to travel the route?
Choices:
1
4/3
8/5
3
Answer: B
Question: What is the product of all the prime factors of 22?
Choices:
9
22
6
3
Answer: B
Question: One type of liquid contains 25% of Kerosene, the other contains 30% of Kerosene. P can is filled with 6 parts of the first liquid and 4 parts of the second liquid. Find the percentage of the Kerosene in the new mixture.
Choices:
25%
30%
27 %
35%
Answer: C
Question: What is the two-digit number whose first digit is a and the second digit is b?. The number is greater than 9. I.The number is multiple of 51. II.The sum of the digits a and b is 6.
Choices:
I alone sufficient while II alone not sufficient to answer
Either I or II alone sufficient to answer
Both I and II are not sufficient to answer
Both I and II are necessary to answer
Answer: A
Question: In a pair of fractions, fraction A is twice the fraction B and the product of two fractions is 2/25. What is the value of fraction A?
Choices:
2/2
2/5
2/1
2/7
Answer: B
Question: A candidate who gets 20% of the marks fails by 40 marks. But another candidate who gets 30% marks gets 20 marks more than necessary for passing. Find the number of marks for passing?
Choices:
160 Marks
280 Marks
371 Marks
827 Marks
Answer: A
Question: Given positive even integer y, which of the following CANNOT be evenly divisible by y?
Choices:
y + 8
2y + 4
3y − 1
2y - 2
Answer: C
Question: The probability of Sam passing the exam is 1/4. The probability of Sam passing the exam and Michael passing the driving test is 1/3. What is the probability of Michael passing his driving test?
Choices:
1/2.
1/3.
2/3.
2/5
Answer: A
Question: If the area of circle O is 16π, what is the length of an arc on the circle formed by a central angle measuring 30 degrees?
Choices:
3π/2
2π/3
5π/2
8π
Answer: B
Question: Sixty five percent of a number is 21 less than four fifth of that number. What is the number ?
Choices:
140
160
170
180
Answer: A
Question: A train running at a speed of 36 kmph crosses an electric pole in 12 seconds. In how much time will it cross a 340 m long platform?
Choices:
46 min
47 min
67 min
45 min
Answer: A
Question: The average age of applicants for a new job is 31, with a standard deviation of 9. The hiring manager is only willing to accept applications whose age is within one standard deviation of the average age. What is the maximum number of different ages of the applicants?
Choices:
14
15
18
19
Answer: D
Question: A cyclist covers a distance of 750 meter in 2 minutes 30 seconds. What is the speed in km/hr of cyclist
Choices:
17 km/hr
18 km/hr
19 km/hr
20 km/hr
Answer: B
Question: In the Clock Game, part of the game show The Price Is Right, a contestant must
guess the price (rounded to the nearest dollar) of a prize which is worth less than $2,000. After
each guess, the contestant is told whether her guess was correct, too low, or too high. Assume
that the contestant is mathematically savvy but has no idea how much the prize is worth.
With how many guesses is she guaranteed to win the prize?
Choices:
11
12
13
1997
Answer: A
Question: A sum of money is to be distributed among A, B, C, D in the proportion of
5 : 1 : 5 : 3. If C gets Rs. 1000 more than D, what is B's share?
Choices:
Rs. 500
Rs. 1500
Rs. 2000
NOne
Answer: A
Question: A tradesman by means of his false balance defrauds to the extent of 20%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
A. 20% B. 45%
Choices:
66
44
99
11
Answer: B
Question: John invested some money at the rate of 6% p.a. for the first three years, 9% p.a.for the next five years and 9% p.a.for the period beyond eight years. How much interest will he get after eleven years if he invested Rs 10000?
Choices:
9,900
12,000
7,000
None of these
Answer: A
Question: This topic is locked. If you want to discuss this question please re-post it in the respective forum.
If y ≠ 3 and 3e/y is a prime integer greater than 2, which of the following must be true?
I. e = y
II. y = 1
III. e and y are prime integers.
Choices:
None
II only
III only
I and III
Answer: A
Question: A started a business with an investment of Rs. 10000 and after 7 months B joined him investing Rs. 12000. If the profit at the end of a year is Rs. 24000, then the share of B is?
Choices:
8000
12000
6000
14000
Answer: A
Question: A man walking at a constant rate of 12 miles per hour is passed by a woman traveling in the same direction along the same path at a constant rate of 24 miles per hour. The woman stops to wait for the man 10 minutes after passing him, while the man continues to walk at his constant rate. How many minutes must the woman wait until the man catches up?
Choices:
13
15
11
9
Answer: A
Question: The sum of first five prime numbers is?
Choices:
28
56
24
22
Answer: A
Question: If 8^x = 2^9, what is x?
Choices:
3
4
5
6
Answer: A
Question: In what ratio must rice of Rs.16 per kg be mixed with rice of Rs.24 per kg so that cost of mixture is Rs.18 per kg?
Choices:
2:1
3:1
4:3
4:5
Answer: B
Question: A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
Choices:
1.9
1.1
1.5
1.2
Answer: C
Question: The total car population in a Mumbai is 2,90,000 out of which 1,50,000 are made by Honda. Out of every 100 Honda cars, 90 are red in color, but only 60% of the total car population is red. Find the % of non-Honda cars that are red
Choices:
5.35%
6.125%
27.86%
8%
Answer: C
Question: A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current?
Choices:
1.5
1.3
1.1
1.2
Answer: A
Question: How many numbers between 200 and 500 begin or end with 3?
Choices:
60
100
110
120
Answer: D
Question: A certain computer manufacturing firm last year produced 82 percent of its computers using parts made by its subsidiary company. If the remaining 10,818 computers were produced using parts purchased from another parts manufacturer, how many computers were produced by the computer manufacturing firm altogether?
Choices:
60100
70000
75000
65000
Answer: A
Question: A man's speed with the current is 25 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is?
Choices:
80
50
30
20
Answer: D
Question: The speed of a boat in still water is 60kmph and the speed of the current is 30kmph. Find the speed downstream and upstream?
Choices:
kmph
kmph
kmph
kmph
Answer: C
Question: Can you find the smallest non fractional number such that
If the number gets divided by 9 , we get the remainder of 1;
If the number gets divided by 10 , we get the remainder of 2
If the number gets divided by 11 , we get the remainder of 3;
If the number gets divided by 12 , we get the remainder of 4.
Choices:
1300
1205
2501
1978
Answer: D
Question: The sum of present age of Abe and the age before 7 years is 35. Find the present age of Abe. What will be his age after 7 years?
Choices:
26
27
28
29
Answer: C
Question: A computer system uses alphanumeric case sensitive characters for its passwords. When the system was created it required users to create passwords having 5 characters in length. This year, it added the option of creating passwords having 6 characters in length. Which of the following gives the expression for the total number of passwords the new computer system can accept?
Assume there are 62 unique alphanumeric case sensitive characters.
Choices:
62^5
62(62^4)
63(62^5)
63(62^6)
Answer: C
Question: A vessel of capacity 90 litres is fully filled with pure milk. Nine litres of milk is removed from the vessel and replaced with water. Nine litres of the solution thus formed is removed and replaced with water. Find the quantity of pure milk in the final milk solution?
Choices:
72.9 litres
72.8 litres
62.9 litres
72.5 litres
Answer: A
Question: Eight children — A, B, C, D, E, F, and G — are going to sit in seven chairs in a row. Children AB must sit next to each other, and child C must be somewhere to the right of AB. How many possible configurations are there for the children?
Choices:
720
1440
4320
4800
Answer: B
Question: From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there in the committee. In how many ways can it be done?
Choices:
656
696
724
756
Answer: D
Question: In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
Choices:
4
5
8
9
Answer: C
Question: A tank contains 7,500 gallons of a solution that is 6 percent sodium chloride by volume. If 2,000 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride?
Choices:
6.18%
7.18%
8.18%
.7%
Answer: C
Question: If 20 men can build a water fountain 56 metres long in 7 days, what length of a similar water fountain can be built by 35 men in 3 days?
Choices:
42 m
47 m
49 m
50 m
Answer: A
Question: Everyone shakes hands with everyone else in a room. Total number of handshakes is 78. Number of persons=?
Choices:
13
11
15
16
Answer: A
Question: A charitable association sold an average of 66 raffle tickets per member. Among the female members, the average was 70 raffle tickets. The male to female ratio of the association is 1:2. What was the average number R of tickets sold by the male members of the association
Choices:
56
58
62
66
Answer: B
Question: In the new budget the price of rise rose by 5%. By how much percent must a person reduce his consumption so that his expenditure on it does not increase?
Choices:
9.1%
4.76%
12.6%
15%
Answer: B
Question: A wholeseller cheats both his supplier and customer by using faulty weights. When he buys from the supplier, he takes 30% more than the indicated weight. When he sells to his customer, he gives the customer a weight such that 20% of that is added to the weight, the weight claimed by the trader is obtained. If he charges the cost price of the weight that he claims, find his profit percentage.
Choices:
56%
99.33%
14.109%
79%
Answer: A