antoine-444/aqua_rat_dataset huggingface dataset:
Question: In the county of Veenapaniville, there are a total of 50 high schools, of three kinds: 25 public schools, 16 parochial schools, and 9 private independent schools. These 50 schools are divided between three districts: A, B, and C. District A has 18 high schools total. District B has 17 high schools total, and only one of those are private independent schools. If District C has an equal number of each of the three kinds of schools, how many private independent schools are there in District A?
Choices:
3
4
5
6
Answer: A
Question: An order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2. Subsequently, the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter. Find the ratio of the areas of the carpets in both the cases.
Choices:
8 : 7
8 : 8
8 : 9
8 : 3
Answer: A
Question: A man walks at a rate of 10 mph. After every ten miles, he rests for 6 minutes. How much time does he take to walk 60 miles?
Choices:
318
322
324
390
Answer: D
Question: In one hour a boat goes 18 km long the stream and 6 km against the stream.The speed of the boat in still water is?
Choices:
12
16
17
18
Answer: A
Question: A bag contains a certain number of 50 paise coins, 20 paise coins and 10 paise coins inthe ratio 3:4:5. If the total value of all the coins in the bag is Rs.400, find the number of 50 paise coins ?
Choices:
488
428
528
418
Answer: B
Question: A shop produces sarongs. The daily average production is given by 5n + 20, where n is the number of workers aside from the owner. In the first k days, 500 units are produced, and then 5 workers are added to the team. After another k days, the cumulative total is 1200. How many workers were part of the latter production run?
Choices:
B)14
C)11
D)15
E)23.5
Answer: A
Question: a series of natural number 1+2+3+4+5+6+7+8+9+10 is divisibel by 11 so we has to find how many such series is possible upto n where n is less than 1000.
Choices:
99
180
96
92
Answer: B
Question: A company conducted a survey about its two brands, A and B. x percent of respondents liked product A, (x – 20) percent liked product B, 23 percent liked both products, and 23 percent liked neither product. What is the minimum number G of people surveyed by the company?
Choices:
G=80
G=90
G=100
200
Answer: C
Question: A firm is divided into four departments, each of which contains four people. If a project is to be assigned to a team of three people, none of which can be from the same department,what is the greatest number of distinct teams to which the project could be assigned?
Choices:
4^4
4^5
6(4^4)
4(3^6)
Answer: A
Question: Working at their respective constant rates, Paul, Abdul and Adam alone can finish a certain work in 3, 4, and 5 hours respectively. If all three work together to finish the work, what fraction M of the work will be done by Adam?
Choices:
12/47
1/3
5/12
20/47
Answer: A
Question: A car during its journey travels 30 minutes at a speed of 60 kmph, another 45 minutes at a speed of 60 kmph, and 2 hours at a speed of 80 kmph.The average speed of the car is
Choices:
64 kmph
72.30 kmph
64.02 kmph
None of these
Answer: B
Question: What is the greatest of 3 consecutive integers whose sum is 21 ?
Choices:
7
8
9
5
Answer: B
Question: 5357 x 51 = ?
Choices:
273243
273247
273250
273207
Answer: D
Question: Equal weights of two alloys containing tin, copper and lead in the ratio 6:8:7 and 1:2:4 are melted and mixed together. What is the ratio of tin, copper and lead in the resultant alloy?
Choices:
3:1:8
17:28:27
9:4: 11
9:14: 11
Answer: D
Question: Which of the following fraction is the smallest?
Choices:
13/19
17/21
7/8
None of these
Answer: A
Question: At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.20000?
Choices:
6620
2688
2998
2789
Answer: A
Question: A man covers a certain distance by car driving at 30 km/hr and he returns back to the starting point riding on a scooter at 10 km/hr. Find his average speed for the whole journey.
Choices:
17 Km/hr
15 Km/hr
12 km/hr
None of these
Answer: B
Question: Four car rental agencies A, B, C and D rented a plot for parking their cars during the night. A parked 15 cars for 12 days, B parked 12 cars for 20 days, C parked 18 cars for 18 days and D parked 16 cars for 15 days. If A paid Rs. 1125 as rent for parking his cars, what is the total rent paid by all the four agencies?
Choices:
2778
1279
6150
2771
Answer: C
Question: A sum of money at simple interest amounts to Rs. 830 in 3 years and to Rs. 854 in 4 years. The sum is:
Choices:
698
758
847
976
Answer: B
Question: Thirty percent of the members of a swim club have passed the lifesaving test. Among the members who havenotpassed the test, 5 have taken the preparatory course and 30 have not taken the course. How many members are there in the swim club?
Choices:
80
50
120
140
Answer: B
Question: A company pays project contractors a rate of a dollars for the first hour and b dollars for each additional hour after the first, where a > b.
In a given month, a contractor worked on two different projects that lasted 6 and 8 hours, respectively. The company has the option to pay for each project individually or for all the projects at the end of the month. Which arrangement would be cheaper for the company and how much would the company save?
Choices:
Per month, with savings of $(5a - 5b)
The two options would cost an equal amount.
Per project, with savings of $(5a + 5b)
Per project, with savings of $(5a - 5b)
Answer: A
Question: A rectangular field is to be fenced on three sides leaving a side of 30 feet uncovered. If the area of the field is 720 sq. feet, how many feet of fencing will be required?
Choices:
78
68
88
None
Answer: A
Question: Car Z travels 45 miles per gallon of gasoline when driven at a constant rate of 45 miles per hour, but travels 20 percent fewer miles per gallon of gasoline when driven at a constant rate of 60 miles per hour. How many miles does car Z travel on 10 gallons of gasoline when driven at a constant rate of 60 miles per hour?
Choices:
360
400
408.3
440
Answer: A
Question: Two cyclist start on a circular track from a given point but in opposite direction with speeds of 7m/s and 8m/s. If the circumference of the circle is 180meters, after what time will they meet at the starting point?
Choices:
12sec
30sec
50sec
1min
Answer: A
Question: 5 skilled workers can build a wall in 20days; 8
semi-skilled workers can build a wall in 25 days; 10
unskilled workers can build a wall in 30days. If a te
am has 2 skilled, 6 semi-skilled and 5 unskilled
workers, how long will it take to build the wall?
Choices:
15days
14days
18days
17days
Answer: A
Question: Twenty coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?
Choices:
2^19
3 * 2^8
3 * 2^9
3 * 2^10
Answer: A
Question: The manufacturing cost of a shoe is Rs.180 and the transportation lost is Rs.500 for 100 shoes. What will be the selling price if it is sold at 20% gains
Choices:
Rs 222
Rs 220
Rs 210
Rs 217
Answer: A
Question: Shopkeeper rise price by 33% and gives successive discount of 10% and 15%. What is overall % gain or loss?
Choices:
1.745%
3.745%
6.745%
7.745%
Answer: A
Question: A relay race covers 1 1/2 miles,and each runner on a team will run 1/4 of a mile. How many runners are needed for a team?
Choices:
6
3
10
4
Answer: A
Question: Today Jennifer, who is 30 years old, and her daughter, who is 6 years old, celebrate their birthdays. How many years will pass before Jennifer’s age is twice her daughter’s age?
Choices:
18
22
24
25
Answer: A
Question: A 3-digit positive integer consists of non zero digits. If exactly two of the digits are the same, how many such integers are possible?
Choices:
144
216
283
300
Answer: B
Question: There were 35 students in a hostel. Due to the admission of 7 new students, ;he expenses of the mess were increased by Rs. 42 per day while the average expenditure per head diminished by Rs 1. Wbat was the original expenditure of the mess?
Choices:
120
400
420
514
Answer: C
Question: How many odd numbers are possible between 1 to 10000000? find out the number of odd number of digits?
Choices:
3500
4000
4599
4999999
Answer: D
Question: A train of length L is traveling at a constant velocity and passes a pole in t seconds. If the same train travelling at the same velocity passes a platform in 3.5t seconds, then what is the length of the platform?
Choices:
1.5L
2.5L
3.5L
4.5L
Answer: B
Question: In how many days does B alone complete the work
1. B and C together can complete the work in 8 days
2. A and B together can complete the work in 12 days
Choices:
Statement 2 alone is sufficient
Statement 1 and 2are sufficient
Statement 1 and 2are not sufficient
None of these
Answer: C
Question: A project scheduled to be carried out over a single fiscal year has a budget of $12,600, divided into12 equal monthly allocations. At the end of the fourth month of that fiscal year, the total amount actually spent on the project was $5,580. By how much was the project over its budget?
Choices:
$540
$1,050
$1,380
$1,430
Answer: C
Question: A student's mark was wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by 1/2. What is the number of students in the class?
Choices:
30
10
40
50
Answer: C
Question: The length of a rectangle is halved, while its breadth is tripled. Wat isthe % change in area?
Choices:
40%
50%
60%
70%
Answer: B
Question: In 1998 the profits of company N were 10 percent of revenues. In 1999, the revenues of company N fell by 20 percent, but profits were 10 percent of revenues. The profits in 1999 were what percent of the profits in 1998?
Choices:
80%
120%
124.2%
138%
Answer: A
Question: Can you solve it?
2+3=8,
3+7=27,
4+5=32,
5+8=60,
6+7=72,
7+8=??
Choices:
78
88
98
56
Answer: C
Question: If x and y are positive integers, and 3x^2=3y, then which of the following must be a multiple of 9?
I. x^2
II. y^2
III. xy
Choices:
I only
III only
I and II only
I, II and III
Answer: A
Question: Find the unit's digit in (264)^102 + (264)^103
Choices:
1
5
0
2
Answer: C
Question: The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?
Choices:
2
8
6
3
Answer: B
Question: For which of the following does g(a)−g(b)=g(a−b) for all values of a and b?
Choices:
g(x)=x/2
g(x)=x+5
g(x)=2x−1
g(x)=|x|
Answer: A
Question: Find the simple interest on Rs.500 for 9 months at 6 paisa per month?
Choices:
Rs.270
Rs.275
Rs.324
Rs.300
Answer: A
Question: The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent?
Choices:
18 2/11
18 2/15
18 2/19
18 2/12
Answer: A
Question: 3+33+333+3.33=?
Choices:
372.33
702.33
702
None of them
Answer: A
Question: How long will it take for a sum of money to grow from Rs.1250 to Rs.10,000, if it is invested at 12.5% p.a simple interest?
Choices:
56
22
088
11
Answer: A
Question: If the operation Ø is defined for all positive integers x and w by x Ø w = (2^x)/(2^w) then (3 Ø 1) Ø 2 = ?
Choices:
4
8
16
32
Answer: A
Question: The profit obtained by selling an article for Rs. 66 is the same as the loss obtained by selling it for Rs. 52. What is the cost price of the article?
Choices:
Rs. 50
Rs. 49
Rs. 59
None of these
Answer: C
Question: If 13 = 13w/(1-w) ,then (2w)2 =
Choices:
1/2
1
2
3
Answer: C
Question: If a*b*c=130, b*c*d = 65, c*d*e=750 and d*e*f=250 the (a*f)/(c*d) = ?
Choices:
2/3
3/4
4/3
None of these
Answer: A
Question: A can do a piece of work in 7 days of 9 hours each and B alone can do it in 6 days of 7 hours each.how long will they take it to do working together
8 2/5 hours a day?
Choices:
3 days
5 days
6 days
7 days
Answer: A
Question: Find value of x from given equation 2x + 1 = -17
Choices:
-9
-7
7
6
Answer: A
Question: For any integer k greater than 1, the symbol k* denotes the product of all integers between 1 and k, inclusive. If k* is a multiple of 1701 what is the least possible value of k?
Choices:
10
12
14
16
Answer: B
Question: A, B, K start from the same place and travel in the same direction at speeds of 30 km/hr, 40 km/hr, 100 km/hr respectively. B starts two hours after A. If B and K overtake A at the same instant, how many hours after A did K start?
Choices:
4.8
5.6
6.4
7.2
Answer: B
Question: What is the solution of the equations x - y = 10 and (x + y)-1 = 2 ?
Choices:
x = 5.25, y = 4.75
x = 2, y = 1.1
x = 1.2, y = 0.3
None
Answer: A
Question: The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
Choices:
4 years
10 years
None of these
15 years
Answer: A
Question: If X+Y = 2X-2Z, X-2Y = 4Z and X+Y+Z = 21, what is the value of Y/Z?
Choices:
-2.
-1.7.
3.
2.5.
Answer: B
Question: A garrison of 150 men has provisions for 31 days. At the end of 16 days, a reinforcement arrives, and it is now found that the provisions will last only for 5 days more. What is the reinforcement?
Choices:
450
400
600
300
Answer: D
Question: The probability that a convenience store has no iced tea is 50%. If Karl is stopping by 2 convenience stores on his way to work, what is the probability thatat least oneof the stores will not have a can of iced tea?
Choices:
1/4
1/2
3/4
7/8
Answer: C
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:
256 m
245 m
627 m
167 m
Answer: B
Question: A searchlight on top of the watch-tower makes 3 revolutions per minute. What is the probability that a man appearing near the tower will stay in the dark for at least 5 seconds?
Choices:
1/3
1/2
2/3
3/4
Answer: D
Question: A and B working saperately can do a piece of work in 12 and 18 hours respectively. If they work for 6 hour alternately with B beginning, in how many hours will the work be completed?
Choices:
15 hours
13 ½ hours
12 ½ hours
16 hours
Answer: A
Question: At the end of a business conference, ten people present shake hands with each other once. How many handshakes will be there all together?
Choices:
45
55
90
None
Answer: A
Question: What is the smallest of six consecutive odd integers whose average (arithmetic mean) is c + 2?
Choices:
c - 3
c- 1
c
c + 1
Answer: A
Question: A relay has a series of 5 circuits in a line. The even-numbered circuits are control circuits; the odd are buffer circuits. If both a control circuit and the buffer circuit immediately following it both fail in that order, then the relay fails. The probability of circuit one failing is 3/8; circuit two, 1/9; circuit three, 3/10; circuit four, 3/4; and circuit five, 2/5 .What is the probability that the relay fails?
Choices:
3/10
303/800
97/300
497/800
Answer: C
Question: A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 650 m long?
Choices:
89 sec
100 sec
150 sec
250 sec
Answer: A
Question: Which of the following does NOT have a divisor greater than 1 that is the square of an integer?
Choices:
32
49
62
25
Answer: C
Question: A 340-liter solution of Kola is made from 88% water, 5% concentrated Kola and the rest is made from sugar. If 3.2 liters of sugar, 10 liter of water and 6.8 liters of concentrated Kola were added to the solution, what percent of the solution is made from sugar?
Choices:
7.5%.
9.2%.
10.5%.
11%.
Answer: A
Question: 7 men, 5 women and 8 children were given as assignment of distributing 2000 books to students in a school over a period of 3 days. All of them distributed books on the 1st day. One of the 2nd day 2 women and 3 children remained absent and on the 3rd day 3 men and 5 children remained absent. If the ratio of the no. of books distributed in a day by a man, a woman & a child was 5 : 4 : 2 respectively, a total of approximately how many books were distributed on the second day?
Choices:
450
600
650
700
Answer: C
Question: -24*29+1240=?
Choices:
584
544
345
None of these
Answer: B
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:
25
63
74
36
Answer: B
Question: What is the sum of the numbers between 1 and 12, inclusive?
Choices:
65
79
78
80
Answer: C
Question: The area of a parallelogram is 128sq m and its altitude is twice the corresponding base. Then the length of the base is?
Choices:
8
5
3
2
Answer: A
Question: If a(a + 2) = 99 and b(b + 2) = 99, where a ≠ b, then a + b =
Choices:
-2
-8
-10
-12
Answer: A
Question: A box contains 10 apples, 9 of which are red. An apple is drawn from the box and its color is noted before it is eaten. This is done a total of n times, and the probability that a red apple is drawn each time is less than 0.5. What is the smallest possible value of n?
Choices:
4
5
6
7
Answer: C
Question: The toll T, in dollars, for a truck using a certain bridge is given by the formula T = 1.50 + 1.50( x − 2), where x is the number of axles on the truck. What is the toll for an 18-wheel truck that has 2 wheels on its front axle and 4 wheels on each of its other axles?
Choices:
$ 3.00
$ 3.50
$ 6.00
$ 5.00
Answer: C
Question: If two of the four expressions x + y , x + 7y , x - y , and 7x - y are chosen at random, what is the probability that their product will be of the form of x^2-(by)^2, where b is an integer?
Choices:
1/8
1/2
1/6
1/5
Answer: C
Question: Triangle ATriangle B are similar triangles with areas 2268 units square and 2527 units square respectively. The ratio of there corresponding height would be
Choices:
18:19
23:27
13:17
15:23
Answer: A
Question: Rajesh calculated his average over the last 24 tests and found it to be 76. He finds out that the marks for three tests have been inverted by mistake. The correct marks for these tests are 87, 79 and 98. What is the approximate percentage difference between his actual average and his incorrect average?
Choices:
0
8
7
5
Answer: A
Question: Given that -1 ≤ v ≤1, -2 ≤ u ≤ -0.5 and -2 ≤ z ≤ -0.5 and w = vz/u, then which of the following is necessarily true ?
Choices:
-4 ≤ w ≤ 4
-4 ≤ w ≤ 2
-2 ≤ w ≤ 0.5
None of these
Answer: A
Question: A certain restaurant offers 6 kinds of cheese and 2 kinds of fruit for its dessert platter. If each dessert platter contains an equal number of kinds of cheese and kinds of fruit, how many different dessert platters could the restaurant offer?
Choices:
12
15
21
27
Answer: D
Question: Mars travels around the sun at a speed of approximately 15 miles per second. The approximate speed is how many miles per hour?
Choices:
51,000
54,000
57,000
60,000
Answer: B
Question: Find a a prime number from below options?
Choices:
97
98
100
102
Answer: A
Question: A car gets 40 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 160 kilometers?
Choices:
4
6.5
7.5
8.5
Answer: A
Question: On a summer camp, 25% of the campers paid $120 each, 30% paid $80 each and the rest paid $65 each. What percentage of the total amount paid came from the campers who paid $80?
Choices:
21%
35%
33.3%
37.5%
Answer: B
Question: A bottle contains a certain solution. In the bottled solution, the ratio of water to soap is 3:4, and the ratio of soap to salt is four times this ratio. The solution is poured into an open container, and after some time, the ratio of water to soap in the open container is halved by water evaporation. At that time, what is the ratio of water to salt in the solution?
Choices:
3:9
3:4
3:12
4:12
Answer: C
Question: Sari and Ken climb up a mountain. At night, they camp together. On the day they are supposed to reach the summit, Sari wakes up at 07:00 and starts climbing at a constant pace. Ken starts climbing only at 09:00, when Sari is already 700 meters ahead of him. Nevertheless, Ken climbs at a constant pace of 500 meters per hour, and reaches the summit before Sari. If Sari is 50 meters behind Ken when he reaches the summit, at what time did Ken reach the summit?
Choices:
13:30
14:00
15:00
15:30
Answer: B
Question: Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.51200?
Choices:
81028
27772
29889
64800
Answer: D
Question: Look at this series: 2, 1, (1/2), (1/4), ... What number should come next?
Choices:
(1/8)
(2/8)
(1/16)
(1/32)
Answer: A
Question: A cyclist rides a bicycle over a route which is 1/3 uphill, 1/3 level, and 1/3 downhill. If the cyclist covers the uphill part of the route at the rate of 12 km per hour and the level part at the rate of 18 km per hour, what rate in km per hour would the cyclist have to travel the downhill part of the route in order to average 18 km per hour for the entire route?
Choices:
30
36
42
48
Answer: B
Question: Solution P is 20 percent lemonade and 80 percent carbonated water by volume; solution Q is 45 percent lemonade and 55 percent carbonated water by volume. If a mixture of PQ contains 67.5% percent carbonated water, what percent of the volume of the mixture is P?
Choices:
40%
50%
60%
75%
Answer: B
Question: A trader bought a car at 20% 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:
82%
12%
22%
42%
Answer: B
Question: The ratio between the present ages of P and Q is 6:7.If Q is 4 years old than P,what will be the ratio of the ages of P and Q after 4 years ?
Choices:
3:5
4:3
None of these
Cannot be determined
Answer: C
Question: The smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is:
Choices:
1015
1022
1032
1048
Answer: A
Question: A train is moving at a speed of 132 km/hr. If the length of the train is 110 metres, how long will it take to cross a railway platform 165 metres long?
Choices:
7½ sec
12 ½ sec
15 sec
18 sec
Answer: A
Question: WINK, Inc. follows a certain procedure that requires two tasks to be finished independently in order for a job to be done. On any given day, there is a 1/8 probability that task 1 will be completed on time, and a 3/5 probability that task 2 will be completed on time. On a certain day, what is the probability that task 1 will be completed on time, but task 2 will not?
Choices:
1/20
13/40
7/20
13/22
Answer: A
Question: The variables m and n are positive integers. When m is divided by 18, there is a remainder of 12, and when n is divided by 24, there is a remainder of 14. Which of the following are possible values of m + n?
I. 70
II. 50
III. 92
Choices:
III only
I and II
I only III
II and III
Answer: D
Question: When n is divided by 5 the remainder is 3. What is the remainder when (n + 2)^2 is divided by 5?
Choices:
0
2
3
4
Answer: A
Question: A man sells a horse for Rs.800 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:
279
267
860
298
Answer: C
Question: The ratio between the speeds of two Bullet trains is 7:6. If the second Bullet train runs 440 kms in 4 hours, then the speed of the first train is:
Choices:
37.25 km/hr.
128.3 km/hr.
94.25 km/hr.
96.25 km/hr.
Answer: B
Question: In a Private Company 20 Nos. staffs are employed. In a Festival season their Boss give festival allowance to all. He says his accountant to calculate for 30 days @ 100. Also he says balance payment will give to driver and cleaning staff and to be adjust from petty cash. He had given Rs.65000/- to the accountant. How much amount will taken from Petty cash?
Choices:
1000
3500
2500
2250
Answer: A
Question: An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq m?
Choices:
Rs.4082.42
Rs.4082.97
Rs.4082.40
Rs.4082.19
Answer: C
Question: A gambler has won 40% of his 30 poker games for the week so far. If, all of a sudden, his luck changes and he begins winning 80% of the time, how many more games must he play to end up winning 60% of all his games for the week?
Choices:
25
30
35
40
Answer: B
Question: Find the no.of ways of arranging the 10 boys around a round tabele?
Choices:
9!
8!
7!
6!
Answer: A
Question: Angelo and Isabella are both salespersons. In any given week, Angelo makes $560 in base salary plus 8 percent of the portion of his sales above $1,000 for that week. Isabella makes 10 percent of her total sales for any given week. For what amount of weekly sales would Angelo and Isabella earn the same amount of money?
Choices:
24,000
25,500
26,500
27,500
Answer: A
Question: With a uniform speed a car covers the distance in 8 hours. Had the speed been increased by 5 km/hr, the same distance could have been covered in 7 1/2 hours. What is the distance covered?
Choices:
480 km
278 km
297 km
600 km
Answer: D
Question: Shan starts from Barabanki to Fatehpur, 1 hour after Ajay starts. Shahrukh meets Kajol 1.5 hours after Shahrukh starts. If the speed of Shan is at least 20km/hour fasterthan the speed of Kajol. What is the min speed of Shan to overtake Ajay, before he meets Kajol?
Choices:
45.67 km/h
50.7 km/h
68.5 km/h
67.5 km/h
Answer: D
Question: 1600 men have provisions for 28 days in the temple. If after 4 days, 300 men leave the temple, how long will the food last now?
Choices:
29 1/2 days
28 1/2 days
27 1/2 days
26 1/2 days
Answer: A
Question: There is a 10% chance that Tigers will not win at all during the whole season. There is a 5% chance that Federer will not play at all in the whole season. What is the greatest possible probability that the Tigers will win and Federer will play during the season?
Choices:
B)60%
C)70%
D)72%
E)95%
Answer: D
Question: When I was born, my mother was 23 years of age. After 6 years, when my sister was born, my father was 34 years of age. what is the difference between the ages of my parents?
Choices:
11 years
6 years
5 years
8 years
Answer: C
Question: On a trip, a cyclist averaged 11 miles per hour for the first 22 miles and 10 miles per hour for the remaining 20 miles. If the cyclist returned immediately via the same route and took a total of 9 hours for the round trip, what was the average speed (in miles per hour) for the return trip?
Choices:
7.8
8
8.2
8.4
Answer: D
Question: Average of five numbers is 27. If one number is excluded the average becomes 25. The excluded number is
Choices:
35
55
65
67
Answer: A
Question: At a certain college, 70 percent of the students taking physical education class who were injured reported their injury, while 20 percent of the students who were injured in physical education class didn't report their injury. What percent of the students taking physical education class were injured?
Choices:
87.5%
40%
75.5%
80%
Answer: A
Question: A train 200 m long is running with a speed of 54 kmph. In what will it pass a car whose speed at 36 kmph in the direction opposite to that in which the train is going
Choices:
8 sec
12 sec
14 sec
15 sec
Answer: A
Question: If the ratio of ages of two friends is 4:3 and sum of their ages is 70 years then what is the age of older friend?
Choices:
35 years
40 years
25 years
45 years
Answer: B
Question: In a group of 100 cars, 47 cars do not have air conditioning. If at least 53 cars have racing stripes, what is the greatest number of cars that could have air conditioning but not racing stripes?
Choices:
47
49
51
53
Answer: A
Question: 1,000^2 + 1,001^2 +1,002^2 + 1,003^2 + 1,004^2 =
Choices:
6,030,054
6,030,055
6,020,030
6,030,057
Answer: C
Question: The simple interest at x% for x years will be Rs. x on sum of:
Choices:
100x
[100/x]
[x/100]
None
Answer: B
Question: The standard deviation of a normal distribution of data is 2, and 3 standard deviations below the mean is greater than 45. What is a possible value for the mean of the distribution?
Choices:
52
48
49
50
Answer: A
Question: Four 6 faced dice are thrown together. The probability that all the three show the same number on them is?
Choices:
1/216
1/33
1/38
1/34
Answer: A
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is?
Choices:
3/2
3/5
3/4
3/1
Answer: A
Question: Michele invests 300 of her money in a mutual fund that quickly goes sour, losing 25% of its value each day for a week. Which of the following COULD be the value of Michele’s investment at the close-of-business any day that week?
Choices:
$40.10
$250.05
$1575.00
$10000.00
Answer: A
Question: How many 4 digit numbers can be formed with the digits 0, 1, 2, 3, 4, 5, 6 and 4?
Choices:
b. 249
c. 432
d. 216
e. 288
Answer: C
Question: A man can row 40km upstream and 55km downstream in 13 hours also, he can row 30km upstream and 44km downstream in 10 hours.find the speed of the man in still water and the speed of the current.
Choices:
2 kmph
4 kmph
5 kmph
3 kmph
Answer: D
Question: In a games hour 4 different types of players came to the ground? cricket 11, hokey 15, football 21, softball 15. How many players are present in the ground?
Choices:
52
62
49
50
Answer: B
Question: Sushil got thrice as many marks in English as in Science. His total marks in English, Science and Maths are 180. If the ratio of his marks in English and Maths is 1:2, find his marks in Science?
Choices:
19
66
55
31
Answer: A
Question: An automobile parts supplier charges $25 per package of gaskets. When a customer orders more than 10 packages of gaskets, the supplier charges 4/5 the price for each package in excess of 10. During a certain week, the supplier sold 60 packages of gaskets. If 30 percent of the gaskets went to Company X, 15 percent to Company Y, and the rest to Company Z, what was the total amount, in dollars, that the parts supplier received in payment for the gaskets?
Choices:
1375
1345
1415
1455
Answer: B
Question: A girl scout was selling boxes of cookies. In a month, she sold both boxes of chocolate chip cookies ($1.25 each) and boxes of plain cookies ($0.75 each). Altogether, she sold 1,585 boxes for a combined value of $1,586.75. How many boxes of plain cookies did she sell?
Choices:
233
500
695
789
Answer: D
Question: A car going at 20 miles per hour set out on an 80-mile trip at 9:00 A.M. Exactly 10 minutes later, a second car left from the same place and followed the same route. How fast, in miles per hour, was the second car going if it caught up with the first car at 10:30 A.M.?
Choices:
40
53
55
60
Answer: A
Question: A man can row 6 kmph in still water. When the river is running at 2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?
Choices:
5.32
5.76
5.74
5.71
Answer: A
Question: A is three times as fast as B and working together, they can complete a work in 6 days. In how many days can B alone complete the work?
Choices:
16 days
13 days
24 days
19 days
Answer: C
Question: Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in scheme B?
Choices:
6400
2699
2789
1279
Answer: A
Question: A shop keeper marked 30% above the cost price and offered 20% discount then find it's net profit?
Choices:
2.5%
3.7%
4.6%
5%
Answer: A
Question: A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 34710
. What percentage of profit did he make?
Choices:
49%
40%
70%
56%
Answer: D
Question: Martha has the unique talent of being able to guess other people’s height and weight. For every five people that Martha meets, she consistently guesses the people’s correct height four times, and for every seven people that she meets, she consistently guesses the people’s correct weight five times. If Martha meets three people and her success rate remains constant, what is the probability that Martha correctly guesses a person’s weight and height at least once?
Choices:
2/5
49/81
98/125
316/343
Answer: D
Question: In how many ways can 5 boysand 2 girls be arranged at a table if 2 girls are never together?
Choices:
390
398
470
480
Answer: D
Question: Each of the positive integers a and c is a four-digit integer. If each of the digits 0 through 8 appears in one of these three integers, what is the minimum possible value of the sum of a and c?
Choices:
3789
3850
3825
3875
Answer: C
Question: In how many ways can the letters of the CHEATER be arranged
Choices:
2520
360
80
None of these
Answer: A
Question: All of the stocks on the over the counter market are designated by either a 4 letter or a 5 letter code that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different stocks that can be designated with these codes?
Choices:
26(26)^4
27(26)^4
26(26)^5
27(26)^5
Answer: B
Question: For any positive integer n, the sum of the first n positive integers equals n(n+1)/2. What is the sum of all the even integers between 99 and 201?
Choices:
7650
12,650
14,250
15,150
Answer: A
Question: If x and y are positive integers such that x/y = 0.875, which of the following numbers could be y?
Choices:
2
4
10
8
Answer: D
Question: Find the surface area of a 10 cm x 4 cm x 3 cm brick.
Choices:
124 sq.cm
164 sq.cm.
180 sq.cm.
None
Answer: B
Question: If X boxes of orange juice cost 300 cents, how much will Y boxes cost in dollars?
Choices:
Y*3/x
5Y/x
Y*4/x
Y*6/x
Answer: A
Question: Two trains of length 350 m and 250 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 36 kmph and 36 kmph. After how much time will the trains meet?
Choices:
20/7 sec
5 sec
21/7 sec
32/7 sec
Answer: B
Question: Due to 10% decrease in the price of sugar and John can buy 5kg more sugar in Rs100 , then find the CP of sugar?
Choices:
Rs. 2(2/9)
Rs. 2(1/7)
Rs. 3(2/9)
Rs. 3(2/7)
Answer: A
Question: Find out the wrong number in the series.
7, 8, 18, 57, 228, 1165, 6996
Choices:
18
57
228
238
Answer: C
Question: A certain car traveled twice as many miles from Town A to Town B as it did from Town B to Town C. From Town A to Town B, the car averaged 10 miles per gallon, and from Town B to Town C, the car averaged 18 miles per gallon. What is the average miles per gallon that the car achieved on its trip from Town A through Town B to Town C?
Choices:
13.5
14
14.5
15
Answer: C
Question: Aishwarya’s mom was 28 years of age at the time of her birth, while her mom was 20 years old when her 2 years younger sister was born. The variance between the parents ages is :
Choices:
10 years
15 years
9 years
4 years
Answer: A
Question: The difference between C.I. and S.I. on an amount of Rs. 15,000 for 2 years is Rs. 216. What is the rate of interest per annum?
Choices:
2
9
4
12
Answer: D
Question: Two members of a club are to be selected to represent the club at a national meeting. if there are 91 different possible selections of the 2 members, how many members does the club have?
Choices:
14
40
57
95
Answer: A
Question: A circular rim A having a diameter of 36 inches is rotating at the rate of x inches/min. Another circular rim B with a diameter of 84 inches is rotating at the rate of y inches/min. What is the value of y in terms of x, if both the rims reach their starting positions at the same time after every rotation.
Choices:
3x/7
7x/5
5x/7
3x/4
Answer: A
Question: When positive integer H is divided by positive integer B, the result is 4.35. Which of the following could be the reminder when H is divided by B?
Choices:
14
15
16
17
Answer: A
Question: FEDERAL bank offers an interest of 5% per annum compounded annually on all its deposits. If $10,000 is deposited, what will be the ratio of the interest earned in the 4th year to the interest earned in the 5th year?
Choices:
625:3125
100:105
100^4:105^4
725:3225
Answer: B
Question: If the length of the sides of two cubes are in the ratio 4:1, what is the ratio of their total surface area?
Choices:
6:1
8:1
16:1
64:1
Answer: C
Question: What is the leastvalue of x. So that 45x09 is divisible by 3?
Choices:
0
2
6
7
Answer: A
Question: A basketball coach will select the members of a five-player team from among 8 players, including John and Peter. If the five players are chosen at random, what is the probability that the coach chooses a team that includes both John and Peter?
Choices:
1/6
2/9
5/14
1/3
Answer: C
Question: A truck driver drove for 2 days. On the second day, he drove 3 hours longer and at an average speed of 15 miles per hour faster than he drove on the first day. If he drove a total of 900 miles and spent 21 hours driving during the 2 days, what was his average speed on the first day, in miles per hour?
Choices:
30.3
34.2
40.5
45.4
Answer: B
Question: The ratio of the number of ladies to gents at a party was 1:2 but when 2 ladies and 2 gents left, the ratio became 1:3. How many people were at the party originally?
Choices:
18
12
66
99
Answer: B
Question: The length of rectangle is thrice its breadth and its perimeter is 56 m, find the area of the rectangle?
Choices:
212
252
992
147
Answer: D
Question: On a certain road, 10% of the motorists exceed the posted speed limit and receive speeding tickets, but 30% of the motorists who exceed the posted speed limit do not receive speeding tickets. What percent of the motorists on that road exceed the posted speed limit?
Choices:
12.5%
14.3%
22%
30%
Answer: B
Question: A cab driver 5 days income was $300, $150, $750, $200 , $600. Then his average income is?
Choices:
$375
$400
$425
$450
Answer: B
Question: A train 800 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
Choices:
277
500
297
435
Answer: B
Question: Assume the equation U = mgh. If m is quadrupled and h is halved, by what factor does U change?
Choices:
2
4
1/2
16
Answer: A
Question: 3, 7, 15, 31, 63, ?
Choices:
127
142
158
168
Answer: A
Question: The probability that event B occurs is 0.4, and the probability that events A and B both occur is 0.25. If the probability that either event A or event B occurs is 0.6, what is the probability that event A will occur?
Choices:
0.45
0.15
0.5
0.55
Answer: A
Question: There are 7 magazines lying on a table; 4 are fashion magazines and the other 3 are sports magazines. If 3 magazines are to be selected at random from the 8 magazines, what is the probability that at least one of the fashion magazines will be selected?
Choices:
7/8
32/35
11/12
13/14
Answer: A
Question: Jamshid can paint a fence in 50 percent less time than Taimour can when each works alone. When they work together, they can paint the fence in 4 hours. How long would it take Taimour to paint the fence alone?
Choices:
8 hours
12 hours
24 hours
32 hours
Answer: B
Question: A case of 12 rolls of paper towels sells for $9. The cost of one roll sold individually is $1.What is the percent R of savings per roll for the 12-roll package over the cost of 12 rolls purchased individually?
Choices:
11%
15%
25%
90%
Answer: C
Question: Annika hikes at a constant rate of 12 minutes per kilometer. She has hiked 2.75 kilometers east from the start of a hiking trail when she realizes that she has to be back at the start of the trail in 40 minutes. If Annika continues east, then turns around and retraces her path to reach the start of the trail in exactly 40 minutes, for how many kilometers total did she hike east?
Choices:
3.5
3
3.04
4
Answer: C
Question: A bulldog received 1,600 votes in a bulldog competition, giving him 20 percent of the votes. What percent of the remaining votes would he have needed to receive in order to win 32 percent of the total votes?
Choices:
12.5%
15%
17.5%
20%
Answer: B
Question: If DREAM is coded as 78026 and CHILD is coded as 53417,how can LEADER be coded ?
Choices:
102708
102087
102780
102790
Answer: A
Question: A number when divided by 4, gives 40 as quotient and 0 as remainder. What will be the remainder when dividing the same number by 3
Choices:
A)1
C)4
D)6
E)7
Answer: A
Question: A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 6km?
Choices:
3
8
9
6
Answer: A
Question: The salary of a person was reduced by 28%. By what percent should his reduced salary be raised so as to bring it at par with his original salary?
Choices:
15%
20%
25%
38.9%
Answer: D
Question: In honor of the year 2014, a donor has purchased 2016 books to be distributed evenly among the elementary schools in a certain school district. If each school must receive the same number of books, and there are to be no books remaining, which of the following is NOT a number of books that each school could receive?
Choices:
36
42
55
56
Answer: C
Question: The ratio of Gomati’s and Rashmi’s ages is 3 : 5 respectively. After ten years this ratio will become 2 : 3. What is Rashmi’s age in years?
Choices:
50
60
Cannot be determined
None of these
Answer: A
Question: a man leaves office daily at 7 pm, a driver with car comes from his home to pick up him from office and bring back home.one day he gets free at 5:30 pm....,instead of waiting for car ,he starts walking towards his home,on the way he meets the car and returns home by car,he reaches home 20 minutes earlier than usual. In how much time does he reach home usually ?
Choices:
1 hr and 20 mins
1 hr and 40 mins
1 hr and 10 mins
1 hr and 50 mins
Answer: A
Question: How many positive integers I 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: In Richie's company 60% of the employees earn less than $50,000 a year, 60% of the employees earn more than $40,000 a year, 11% of the employees earn $43,000 a year and 5% of the employees earn $49,000 a year. What is the median salary for the company?
Choices:
43.0
46.0
49.0
50.0
Answer: A
Question: Souju's age is 1/4th of her father's age. Souju's father's age will be twice Tharak's age after
10 years. If Tharak's eight birthdays was celebrated two years before, then what is Souju's present age.
Choices:
7.5
8.5
8
9
Answer: A
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
767
277
266
Answer: A
Question: Price of a book increases 15% successively (2times) what is the new price of the book more compared to that of the old price:
Choices:
32.25%
36%
39%
29%
Answer: A
Question: A is 16th position and 29th from down of the people who passed. 5 failed , 6 didn't give . how many boys are there in the class?
Choices:
53
54
55
56
Answer: C
Question: Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is:
Choices:
4 : 3
6 : 7
9 : 16
None of these
Answer: A
Question: 9 men and 2 boys working together can do four times as much work as a man and a boy. Working capacity of man and boy is in the ratio
Choices:
1:3
2:1
2:5
None of these
Answer: C
Question: The speed of a car is 90 km in the first hour and 42 km in the second hour. What is the average speed of the car?
Choices:
92 kmph
75 kmph
65 kmph
66 kmph
Answer: D
Question: How many five digit numbers can be formed using digits 0,1,2,3,4,5, Which are divisible by 12, without any of the digits repeating?
Choices:
98
81
96
72
Answer: C
Question: 6 people meet for a business lunch. Each person shakes hands once with each other person present. How many handshakes take place?
Choices:
21
18
15
10
Answer: C
Question: How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?
Choices:
5
15
20
25
Answer: C
Question: Which of the following correctly lists the data sets in order of greatest to least standard deviation?
I. 4, 12, 15, 17, 19, 25
II. 42, 42, 42, 42, 42, 42
III. 57, 58, 59, 50, 51, 52
Choices:
I, III, II
I, II, III
II, III, I
III, II, I
Answer: B
Question: If Rs. 782 be divided into three parts, proportional to 1/2:2/3 :3/4, then the first part is:
Choices:
201
205
206
204
Answer: D
Question: X, Y, and Z are consecutive numbers and X > Y > Z. Also, 2X + 3Y + 3Z = 5Y + 11. What is the value of Z?
Choices:
3
4
5
6
Answer: A
Question: The population of a town increased from 1,75,000 to 2,97,500 in a decade. The average percent increase of population per year is
Choices:
5%
6%
8.75%
7%
Answer: D
Question: The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1600 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
Choices:
99
88
160
12
Answer: C
Question: If a tap could fill entire tank in 20 hrs due to leakage, then in how much time
tank can be emptied by leakage if tap can fill entire tank in 16 hrs without leakage
Choices:
24hrs
36hrs
80hrs
52hrs
Answer: C
Question: A man can row a distance of 5 km in 60 min with the help of the tide. The direction of the tide reverses with the same speed. Now he travels a further 20 km in 10 hours. How much time he would have saved if the direction of tide has not changed?
Choices:
8
1
6
5
Answer: C
Question: Look at this series: 544, 509, 474, 439, 404, 369 ... What number should come next?
Choices:
334
306
507
404
Answer: A
Question: The cost of type 1 rice is Rs 15 per Kg and type 2 rice
is Rs 20 per Kg. If both type1 and type 2 are mixed in the
ratio of 2:3,then the price per Kg of the mixed variety
of rice is?
Choices:
17
19
18
16
Answer: C
Question: The salary of a worker is first increased by 30% and afterwards reduced by 30%. What is net change in his salary?
Choices:
5% decrease
9% decrease
4% decrease
8% decrease
Answer: B
Question: A money lender lent Rs. 1000 at 4% per year and Rs. 1400 at 5% per year. The amount should be returned to him when the total interest comes to Rs. 350. Find the number of years.
Choices:
3.2
4
4.25
4.5
Answer: A
Question: If d is the standard deviation x, y, and z, what is the standard deviation of x + 4, y + 4, z + 4 ?
Choices:
d
5d
d+4
d+16
Answer: A
Question: A batsman makes a score of 100 runs in the 11th inning and thus increases his average by 5. Find his average after 11th inning.
Choices:
50
62
45
56
Answer: A
Question: At a certain supplier, a machine of type A costs $20,000 and a machine of type B costs $50,000. Each machine can be purchased by making a 20 percent down payment and repaying the remainder of the cost and the finance charges over a period of time.If the finance charges= 40 percent of the remainder the cost, how much less would 2 machines of type A cost than 1 machine of type B?
Choices:
$11,200
$12,000
$12,800
$13,200
Answer: D
Question: If simple interest on a certain sum of money for 8 years at 4% per annum is same as the simple interest on Rs. 560 for 8 years at the rate of 12% per annum then the sum of money is
Choices:
Rs.1040
Rs.1120
Rs.1680
None of these
Answer: C
Question: The average age of a group of persons going for tour is 16 years. Twenty new persons with an average age of 15 years join the group on the spot due to which their average age becomes 15.5 years. The number of persons initially going for tour is:
Choices:
10
20
30
40
Answer: B
Question: A mixture of 70 liters of wine and water contains 10% water. How much water must be added to make water 12 ½% of the total mixture?
Choices:
7
5
2
1
Answer: C
Question: Which of the following are roots of an equation (x^-2)-(x^-1)-30=0
Choices:
-1/5 and 1/6
1/5 and 1/6
-1/5 and -1/6
-5/2 and -1/6
Answer: A
Question: A drink vendor has 80 liters of Mazza, 144 liters of Pepsi, and 368 liters of Sprite. He wants to pack them in cans, so that each can contains the same number of liters of a drink, and doesn't want to mix any two drinks in a can. What is the least number of cans required?
Choices:
36
37
38
39
Answer: B
Question: Two trains move in the same direction at speeds 50 kmph and 32 kmph respectively. A man in the slower train observes that 15 seconds elapse before the faster train completely passes by him. What is the length of faster train?
Choices:
75m
120m
50m
70m
Answer: A
Question: Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are:
Choices:
41, 32
42, 33
43, 34
42, 34
Answer: B
Question: Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 60 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Choices:
88
40
99
22
Answer: B