antoine-444/aqua_rat_dataset huggingface dataset:
Question: By selling 8 pencils for a rupee a man loses 60%. How many for a rupee should he sell in order to gain 60%?
Choices:
9
2
6
4
Answer: B
Question: Find the odd man out. 14, 28, 42, 56, 60, 75, 88
Choices:
75
51
90
115
Answer: A
Question: In a van there are men and goats. In all, there are 10 heads and 30 feet. How many men and how many goats are in the van?
Choices:
5 men and 5 goats.
4 men and 5 goats.
5 men and 6 goats.
5 men and 4 goats.
Answer: A
Question: P, Q and R have $8000 among themselves. R has two-thirds of the total amount with P and Q. Find the amount with R?
Choices:
2403
3200
2539
1930
Answer: B
Question: Karol is three times Alice’s age but only twice as old as Betty. Alice is twelve years younger than Karol. How old is Betty?
Choices:
9
12
18
24
Answer: A
Question: By selling an umbrella for Rs. 500, a shop keeper gains 20%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is?
Choices:
12.5%
18%
11.11%
14%
Answer: A
Question: Find (7x + 4y ) / (x-2y) if x/2y = 3/2 ?
Choices:
8
7
5
none of these
Answer: D
Question: A grocer has a sale of Rs 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs, 6500 ?
Choices:
4991
1976
1627
1981
Answer: A
Question: What is the least multiple of 7 which leaves a remainder of 4 when divided by 6, 9, 15 and 18 ?
Choices:
364
343
371
398
Answer: A
Question: Three pipes of same capacity can fill a tank in 8 hours. If there are only two pipes of same capacity, the tank can be filled in.
Choices:
12 hours
15 hours
16 hours
17 hours
Answer: A
Question: ?% of 360 = 126
Choices:
35
64
72
None of these
Answer: A
Question: A man drive his car to the office at 20miles/hr.
After reaching office, he realize that its a new year holiday so he went back home at a speed of 30miles/hr.
Discounting the time spent in the stoppage what was his average speed of his journey ?
Choices:
24miles/hr
25miles/hr
26miles/hr
None
Answer: A
Question: There are 6 periods in each working day of a school. In how many ways can one organize 5 subjects such that each subject is allowed at least one period?
Choices:
3600
2400
3400
None of these
Answer: D
Question: Each person in a group of 110 investors has investments in either equities or securities or both. Exactly 25 of the investors in equities have investments in securities, and exactly 40 of the investors in securities have investments in equities. How many have investments in equities?
Choices:
80
120
180
190
Answer: A
Question: A shirt goes on sale for 50% of its original price. One week later, the sale price is marked down 10%. The final price is what percent of the original price?
Choices:
70%
52%
50%
45%
Answer: D
Question: If the price of an article went up by 50%, then by what percent should it be brought down to bring it back to its original price?
Choices:
16 4/3%
33 1/3%
16 6/3%
16 2/3%
Answer: B
Question: A bus takes 3 hours to cover a distance of 500 Km. how much should the speed in Kmph be maintained to cover the same direction in 5/3th of the previous time?
Choices:
100 Kmph
90 Kmph
65 Kmph
70 Kmph
Answer: A
Question: Two trains having equal lengths, take 10 seconds and 15 seconds respectively to cross a post. If the length of each train is 120 meters, in what time (in seconds) will they cross each other when traveling in opposite direction?
Choices:
11
12
13
14
Answer: B
Question: An ore contains 25% of an alloy that has 90% iron. Other than this, in remaining 75% of the ore ,there is no iron. How many kgs of the ore are needed to obtain 60 kg. of pure iron.?
Choices:
266.67
266.66
263.66
266.61
Answer: C
Question: The mean of a data set is equal to 10 and its standard deviation is equal to 1. If we add 5 to each data value, then the mean and standard deviation become
Choices:
mean = 10 , standard deviation = 6
mean = 15 , standard deviation = 1
mean = 10 , standard deviation = 1
None
Answer: B
Question: A room of 5 m 44 cm long and 3 m 74 cm broad is to be paved with square tiles. Find the least number of square tiles required to cover the floor.
Choices:
146
166
176
216
Answer: C
Question: Sandeep's age after six years will be three-seventh of his father's age. Ten years ago the ratio of their ages was 1:5. What is Sandeep's father's age at present?
Choices:
50
30
60
70
Answer: A
Question: The final exam of a particular class makes up 40% of the final grade, and Moe is failing the class with an average (arithmetic mean) of 45% just before taking the final exam. What grade does Moe need on his final exam in order to receive the passing grade average of 60% for the class?
Choices:
82.5%
85%
90%
92.5%
Answer: A
Question: The U.S. Defense Department has decided that the Pentagon is an obsolete building and that it must be replaced with an upgraded version: the Hexagon. The Secretary of Defense wants a building that is exactly 70 feet high and 200 feet on a side, and that has a hexagonal bull's-eye cutout in the center (somewhat like the current one) that is 45 feet on a side. What will be the volume of the new building in cubic feet?
Choices:
15,750 cubic feet
6,906,336 cubic feet
15,750√3 cubic feet
3,937,500√3 cubic feet
Answer: B
Question: -64*29+468=?
Choices:
1302
-2801
-1388
None of these
Answer: C
Question: If a man walks to his office at ¾ of his usual rate, he reaches office 1/3 of an hour late than usual. What is his usual time to reach office?
Choices:
1 hour
2 hour
7 hour
9 hour
Answer: A
Question: On Saturday, Will ran 15 miles. Morgan ran 60% of the distance Will ran. Jackie ran 1/3 more distance than Morgan did, and Denilo ran 1 less mile than Jackie. How many miles did Denilo run?
Choices:
13
11
15
10
Answer: B
Question: The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?
Choices:
68 Kmph
88 Kmph
55 Kmph
44 Kmph
Answer: A
Question: How high shall you count before you make use of the letter A?
Choices:
1000
1120
1800
1300
Answer: A
Question: Calculate how many seconds it will take for 4 bells to toll together again, given that they begin to toll together respectively at the intervals of 9, 12, 15 and 18 seconds?
Choices:
130
180
181
120
Answer: B
Question: A shopping mall give 40% sale on T-shirts and increase 25% price of pants. The cost price of pants and T-shirts are 1500 and 400 respectively. Overall they makes a?
Choices:
250
300
215
180
Answer: C
Question: Find the odd man out
1, 3, 7, 11, 15, 18, 21
Choices:
7
18
21
1
Answer: B
Question: Six friends go to see a comedy at the local movie theater and sit in a particular row together. If Grady and Howard are among those 6 friends but can never sit next to each other, how many 6-person seating arrangements are possible?
Choices:
420
480
600
720
Answer: B
Question: A boat can travel with a speed of 42 km/hr in still water. If the speed of the stream is 10 km/hr, find the time taken by the boat to go 70 km downstream
Choices:
2 hour 40 min
1 hour 21 min
1 hour 30 min
1 hour 50 min
Answer: B
Question: A can do a certain work in the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days, then B alone could do it in:
Choices:
20 days
25 days
30 days
35 days
Answer: B
Question: A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
Choices:
20 sec
15 sec
40 sec
45 sec
Answer: C
Question: Helen went to the stationers and bought things worth Euro 40, 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:
Euro 15.7
Euro 19.7
Euro 34.7
None
Answer: C
Question: city A to city B, Andrew drove for 1 hour at 50 mph and for 3 hours at 60 mph. What was the average speed for the whole trip?
Choices:
57.5
58
58.13
59.4
Answer: A
Question: If w, x, and y are consecutive odd positive integers and w < x < y, which of the following could be equal to w - x - y ?
Choices:
-7
-1
0
3
Answer: A
Question: Two cars start from the opposite places of a main road, 150 km apart. First car runs for 25 km and takes a right turn and then runs 15 km. It then turns left and then runs for another 25 km and then takes the direction back to reach the main road. In the mean time, due to minor break down the other car has run only 35 km along the main road. What would be the distance between two cars at this point?
Choices:
65
20
28
21
Answer: A
Question: Stock / Number of shares
V ------------ 68
W ---------- 112
X ------------ 56
Y ------------ 94
Z ------------ 45
The table shows the number of shares of each of the 5 stocks owned by Mr Sami. If Mr. Sami was to sell 20 shares of Stock X and buy 23 shares of stock Y, what would be the increase in the range of the numbers of shares of the 5 stocks owned by Mr. Sami?
Choices:
6
9
14
20
Answer: C
Question: A basket of 1430 apples is divided equally among a group of apple lovers. If 45 people join the group, each apple lover would receive 9 apples less. How many apples F did each person get before 45 people joined the feast?
Choices:
21.
22.
23.
24.
Answer: B
Question: If X,Y is 22%,30% smaller than Z then how much percentage is Y greater than X?
Choices:
10 10/39%
13 1/2%
14%
15%
Answer: A
Question: A merchant purchased a jacket for $150 and then determined a selling price that equaled the purchase price of the jacket plus a markup that was 25 percent of the selling price. During a sale, the merchant discounted the selling price by 20 percent and sold the jacket. What was the merchant’s gross profit on this sale?
Choices:
$3
$4
$10
$15
Answer: C
Question: There are 200 female managers in a certain company. Find the total number Y of female employees in the company, if 2/5 of all the employees are managers and 2/5 of all male employees are managers.
Choices:
Y=400
Y=500
Y=600
None of these
Answer: B
Question: The number of meters in MB is equal to the square root of the number of centimeters in MB. What is the length of MB (1 meter=100 centimeters)?
Choices:
100 meters
100 centimeters
10 centimeter
1 centimeter
Answer: A
Question: On a summer camp, 25% of the campers paid $100 each, 35% 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%
26%
35.44%
37.5%
Answer: C
Question: The average of 6 no.'s is 4.60. The average of 2 of them is 3.4, while the average of the other 2 is 3.8. What is the average of the remaining 2 no's?
Choices:
6.6
3.6
4.5
4.6
Answer: A
Question: A and B together can do a work in 6 days. If A alone can do it in 10 days. In how many days can B alone do it?
Choices:
15
77
55
21
Answer: A
Question: A = {1, 2, 3} and B = {4, 5, 6}.Find A-B
Choices:
{1,3,5}
{1,2,3}
{5,10,15}
{8,9,10}
Answer: B
Question: Every disk in a bag is either blue, yellow or green. The ratio of blue disks to yellow disks to green disks in this bag is 3 : 7 : 8. If the total number of disks in the bag is 108, how many more green disks than blue disks are in the bag?
Choices:
28
30
35
40
Answer: B
Question: How many meters are there in 220 centimeters?
Choices:
20 meters
22 meters
2.2 meters
1 meter
Answer: C
Question: Frances can complete a job in 16 hours, and Joan can complete the same job in 8 hours. Frances starts the job at 9 a.m., and stops working at 3 p.m. If Joan starts working at 4 p.m. to complete the job, at what time is the job finished?
Choices:
9 p.m.
8 p.m.
10 p.m.
12 p.m.
Answer: A
Question: A owes B Rs.50. He agrees to pay B over a number of consecutive days on a Monday, paying single note or Rs.10 or Rs.20 on each day. In how many different ways can A repay B.
Choices:
8
9
6
5
Answer: A
Question: Private Benjamin is a member of a squad of 10 soldiers, which must volunteer 4 of its members for latrine duty. If the members of the latrine patrol are chosen randomly, what is the probability Q that private Benjamin will be chosen for latrine duty?
Choices:
1/5
2/5
3/5
4/5
Answer: B
Question: A shopkeeper sells 20% of his stock at 10% profit ans sells the remaining at a loss of 5%. He incurred an overall loss of Rs. 400. Find the total worth of the stock?
Choices:
20000
23000
21020
28211
Answer: A
Question: In a certain brick wall, each row of bricks above the bottom row contains one less brick than the row just below it. If there are 5 rows in all and a total of 200 bricks in the wall, how many bricks does the bottom row contain ?
Choices:
35
40
33
38
Answer: D
Question: For a certain set, the value range of its members is 108.4. A new set is created from the members of the old set as follows: 12 is subtracted from a member of the old set, and the result is divided by 4. The resulting value is a member of the new set. If this operation is done for each member of the old set, what is the range of values of the members of the new set?
Choices:
27.1
54.4
98.4
108.4
Answer: A
Question: A present value of a machine is $1000. Its value depletiation rate is 10% per annum then find the machine value after 2 years?
Choices:
$810
$915
$715
$795
Answer: A
Question: Month Noah Landing Bellaville
1 3 2
2 2 0
3 0 4
4 2 X
5 1 1
Monthly rainfall was recorded for two towns over a five-month period using the chart above. If the median rainfall in Noah’s Landing was equal to the average (arithmetic mean) rainfall in Bellaville, what is the value of x?
Choices:
8/5
2
3
10
Answer: C
Question: If a natural number p has 8 factors, then which of the following cannot be the difference between the number of factors of p^3 and p?
Choices:
30
32
56
None of these
Answer: A
Question: If t is an even integer and q is an odd integer, which of the following must be an odd integer?
Choices:
tq
2t+q
2(t+q)
3t/q
Answer: B
Question: On a game show, a contestant spins three different wheels; each wheel is numbered 1 to 12. What is the probability that the contestant will spin all tens?
Choices:
1/1728
67
2/58
9/7
Answer: A
Question: Find the value of * in the following
(1 5/3) ÷ 3/11 × */11 = (2 2/3 × 7/5 × 6/7)
Choices:
1.5
3.6
4
4.1
Answer: B
Question: The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is:
Choices:
308
310
311
315
Answer: A
Question: Two trains 200m and 250m long run at the speed of 72kmph and 18kmph in opposite directions in parallel tracks. The time which they take to cross each other is?
Choices:
8.9sec
10.8sec
12.6sec
18 sec
Answer: D
Question: An urn contains 10 black and 5 white balls. Two balls are drawn from the urn one after the other
without replacement. What is the probability that both drawn balls are black?
Choices:
2/7
3/7
4/5
5/4
Answer: B
Question: The simple interest on Rs.12000 at a certain rate of interest in five years is Rs.7200. Find the compound interest on the same amount for five years at the same rate of interest.
Choices:
Rs.3052.40
Rs.3054.8
Rs.3052.80
None of these
Answer: C
Question: a, b, c, and d are positive consecutive even integers and a < b < c < d.
If the product of the highest and lowest numbers is six more than the sum of the middle numbers, what is the product of the smallest two numbers?
Choices:
4
8
12
20
Answer: B
Question: A radio station has to choose a week of the four in a month to broadcast a certain program, and that set will repeat each month. The program can be broadcast equally on any of the four week —- 1st week vs. last week don’t matter at all —- nor does it matter whether the week the program airs are adjacent or not. Absolutely any week of the 4 weeks can be chosen. How many different week combinations of the 4 weeks can be constructed?
Choices:
4
21
35
56
Answer: A
Question: A TV is bought for Rs.6000/- and sold at a loss of 25% find its selling price?
Choices:
s.5560/-
s.3580/-
s.4500/-
s.5600/-
Answer: C
Question: Of the 720 students at a certain university, 25 percent are seniors. If x seniors were to graduate early and leave the university and no additional students entered or left the university, what value of x would reduce the number of seniors at the university to 20 percent?
Choices:
36
42
45
48
Answer: C
Question: Find the value of x. (47% of 1442 - 36% of 1412) + 66 = x?
Choices:
2
3
6
5
Answer: C
Question: You forgot the three digit code of your safe. But you have written some hints to calculate the code if you forgot the code.
Below are the hints that you have written
Hint-1 : One of the numbers is correct and is placed in its correct position
5 4 7
Hint-2: Nothing is correct
5 3 0
Hint-3: Two numbers are correct but not placed at its correct position.
2 5 9
Hint-4: One number is correct but not placed at its correct position.
7 0 6
Hint-5: One number is correct but not placed at its correct position.
6 4 9
What's is the code.
Choices:
927
947
957
967
Answer: A
Question: A box contains 30 mangoes out of which 7 are spoilt. If seven mangoes are chosen at random, find the probability that A number is selected at random from first ninty natural numbers. What is the chance that it is a multiple of either 9 or 11?
Choices:
1/5
2/5
4/15
7/5
Answer: A
Question: A motorist travels for 6 hours, the first half at 60 Kmph and the rest at 48 Kmph. Find the distance Traveled by him.
Choices:
124
324
452
352
Answer: B
Question: A person want to give his money of $1000 to his 3 children A,B,C in the ratio 6:4:5 What is the A+B share?
Choices:
$646.67
$666.67
$500.56
$600.24
Answer: B
Question: Tough and Tricky questions: Combinations.
Seven students - 4 boys and 3 girls - are to sit side by side for a makeup exam. How many ways could they arrange themselves given that no two boys and no two girls can sit next to one another?
Choices:
36
72
288
720
Answer: C
Question: Which of the following is the ninth to the right of the twentieth element from the right end of the above arrangement?
Choices:
II only
I and II
WEWW
II and III
Answer: C
Question: he L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. Then sum of the number is:
Choices:
40
38
36
39
Answer: A
Question: X is a positive number which when increased by 17 is equal to 60 times the reciprocal of the number. Find value of X?
Choices:
3
6
7
8
Answer: A
Question: 25, 24, 22, ?, 15, 10
Choices:
19
13
18
17
Answer: A
Question: A train 120 m long is running with a speed of 66 km/hr. In what time will it pass a man who is roller skating at 12 km/hr in the direction opposite to that in which the train is going?
Choices:
6.92
7.92
4.92
2.92
Answer: A
Question: A train 300 m long can cross an electric pole in 10 sec and then find the speed of the train?
Choices:
89 Kmph
72 Kmph
16 Kmph
108 Kmph
Answer: D
Question: In a class of 20 students in an examination in Mathematics 2 students scored 100 Marks each, 3 get
zero each and the average of the rest was 40. What is the average Of the whole class?
Choices:
49
40
38
35
Answer: B
Question: In how many ways can A, B, C, D and E be seated in a row such that A and B are not seated next to each other?
Choices:
72
56
76
96
Answer: A
Question: A bowl was filled with 10 ounces of water, and 0.006 ounce of the water evaporated each day during a 50-day period. What percent of the original amount of water evaporated during this period?
Choices:
0.04%
0.40%
3%
40%
Answer: C
Question: Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 90 kmph and 72 kmph. In how much time will the trains cross each other?
Choices:
80/7
80/9
80/2
80/1
Answer: B
Question: If x > 3000, then the value of (1.2x)/(0.5x-406) is closest to?
Choices:
1/3
10/21
1/2
3/1
Answer: D
Question: A, B and C can do a piece of work in 9 days, 14 days and 28 days respectively. How long will they taken, if all the three work together?
Choices:
4.52 days
3.52 days
2.52 days
4.92 days
Answer: A
Question: Two kinds of Vodka are mixed in the ratio 1:2 and 2:1 and they are sold fetching the profit 10% and 40% respectively. If the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4/3 and 5/3 times respectively, then the mixture will fetch the profit of
Choices:
20%
21%
40%
Cannot be determined
Answer: C
Question: The table below shows the enrollment in various classes at a certain college.
Class | Number of Students
Biology | 55
Physics | 35
Calculus | 40
Although no student is enrolled in all three classes, 15 are enrolled in both Biology and Physics, 10 are enrolled in both Biology and Calculus, and 12 are enrolled in both Physics and Calculus. How many different students are in the three classes?
Choices:
88
93
125
162
Answer: B
Question: Set A contains three different positive odd integers and six different positive even integers. Set B contains two different positive odd integers and three different positive even integers. If one integer from set A and one integer from set B are chosen at random, what is the probability that the product of the chosen integers is even?
Choices:
7/10
13/15
23/30
37/45
Answer: B
Question: Last year a certain bond yielded 15 percent of its face value in interest. If that interest was approximately 4 percent of the bonds selling price of $7,500, what is the bonds face value?
Choices:
$2,000
$7,425
$7,500
$9,375
Answer: A
Question: The sum of five numbers is 655. The average of the first two numbers is 85 and the third number is 125. Find the average of the two numbers?
Choices:
180
278
268
267
Answer: A
Question: When a is divided by b, the quotient is c with remainder 3. What is a in terms of 3, b, and c?
Choices:
b+c
bc
bc+3
bc-3
Answer: C
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:
240
288
161
921
Answer: A
Question: The Computer Store has reduced the price of a computer by 15%.
What is the original price of the computer if the sale price is $1275?
Choices:
2500
1500
1200
2100
Answer: B
Question: A certain sum is invested at simple interest at 14% p.a. for two years instead of investing at 12% p.a. for the same time period. Therefore the interest received is more by Rs. 840. Find the sum?
Choices:
s. 9000
s. 14000
s. 17000
s. 42000
Answer: D
Question: The length of the train which is moving at 66 km/hr, can crosses a bridge of length 345 m in 60 sec, is ?
Choices:
645 m.
555 m.
655 m.
755 m.
Answer: D
Question: A boy has 4 trousers and 15 shirts. In how many different ways can he select a trouser and a shirt?
Choices:
60
67
89
271
Answer: A
Question: Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Choices:
10.5
10.1
10.8
10.2
Answer: C
Question: How many positive integers less than 5,000 are evenly divisible by neither 13 nor 21?
Choices:
4,475
4,521
4,428
4,349
Answer: D
Question: The ratio of incomes of C and D is 3 : 4 and their expenditures is 4 : 5. If the savings of C is one fourth of his income then what is the ratio of savings of C and D?
Choices:
12/19
13/19
14/19
15/19
Answer: A
Question: A train 140 meters long takes 6 seconds to cross a man walking at 5 kmph in the direction opposite to that of the train. Find the speed of the train.
Choices:
50 kmph
55 kmph
60 kmph
79 kmph
Answer: D
Question: A car averages 65 mph for the first 5 hours of a trip and averages 75 mph for each additional hour. The average speed for the entire trip was 60 mph. How many hours long is the trip?
Choices:
9
7
6
5
Answer: A
Question: A can do a certain work in 12 days. B is 60% more efficient than A. How many days does B alone take to do the same job?
Choices:
15/2
15/4
14/4
13/4
Answer: A
Question: If 4XZ + YW = 3 and XW + YZ = 6, what is the value of the expression (2X + Y)(2Z + W)?
Choices:
12.
15.
16
18.
Answer: B
Question: A chemical supply company has 60 liters of a 40% HNO3 solution. How many liters of pure undiluted HNO3 must the chemists add so that the resultant solution is a 50% solution?
Choices:
12
20
24
30
Answer: A
Question: A producer of tea blends two varieties of tea from two tea gardens one costing Rs 18 per kg and another Rs 20 per kg in the ratio 5 : 3. If he sells the blended variety at Rs 22 per kg, then his gain percent is
Choices:
13%
14%
15%
17%
Answer: D
Question: A,B,C can complete a piece of work in 24,6,12 days. Working together, they complete the same work in how many days?
Choices:
4/5
7/9
10
24/7
Answer: D
Question: The apartment on King-Williams street is an asset that its value is tramping about. From the year 1973 to 1983 it's value decreased by 16% and from 1983 to 1993 it's value increased by 16%. What is the value of the asset in 1993 if in 1973 it was worth $60,000?
Choices:
$40,000.
$38,976.
$58,464.
$36,796.
Answer: C
Question: A positive integer which when added to 100, gives a sum which is greater than when it is multiplied by 100. What is the number?
Choices:
5
4
1
8
Answer: C
Question: If the number is divided by 3, it reduced by 36. The number is
Choices:
B)50
C)45
D)54
E)36
Answer: C
Question: When n is divided by 32, the remainder is 5. What is the remainder when 4n is divided by 8?
Choices:
4
5
6
7
Answer: A
Question: For any integer k > 1, the term “length of an integer” refers to the number of positive prime factors, not necessarily distinct, whose product is equal to k. For example, if k = 24, the length of k is equal to 4, since 24 = 2 × 2 × 2 × 3. If x and y are positive integers such that x > 1, y > 1, and x + 3y < 920, what is the maximum possible sum of the length of x and the length of y?
Choices:
12
10
16
18
Answer: C
Question: A waiter's salary consists of his salary and tips. During one week his tips were 7/4 of his salary. What fraction of his income came from tips ?
Choices:
5/4
5/8
5/9
7/11
Answer: D
Question: Complete the series
13, 9, 5, 1, -3,-7 ...
Choices:
-11
3
-2
3
Answer: A
Question: Mark is playing poker at a casino. Mark starts playing with 150 chips, 20% of which are $100 chips and 80% of which are $20 chips. For his first bet, Mark places chips, 10% of which are $100 chips, in the center of the table. If 70% of Mark's remaining chips are $20 chips, how much money did Mark bet?
Choices:
$1,740
$1,540
$3,080
$2,100
Answer: D
Question: Given 2x + y + z = 3 and 5x + 3y + z = 14, what is the value of x + y - z?
Choices:
12
13
14
15
Answer: C
Question: Departments A has 20 employees, B, and C have 20 employees each, and department D has 20 employees. Departments A, B, C, and D have no employees in common. A task force is to be formed by selecting 1 employee from each of departments A, B, and C and 2 employees from department D. How many different task forces are possible?
Choices:
40,000
100,000
190,000
380,000
Answer: D
Question: The length of a room is 5.5 m and width is 3.75 m. Find the cost of paving the floor by slabs at the rate of Rs. 400 per sq. metre.
Choices:
Rs. 8250
Rs. 15600
Rs. 16500
None of these
Answer: A
Question: City X has a population 3 times as great as the population of City Y, which has a population twice as great as the population of City Z. What is the ratio of the population of City X to the population of City Z?
Choices:
1:4
2:1
6:1
8:1
Answer: C
Question: Hector runs a one-product widget shop. Each month, his fixed costs, whether he produces anything or not, amount to x dollars. The marginal cost of producing and selling one widget is a constant y dollars, regardless of the number he produces. He generally can sell widgets for z dollars each. What is the minimum number of widgets he must produce, assuming he sells every widget he produces, to break even (neither make a profit nor incur a loss) in a given month?
Choices:
x/(z - y)
x
x/z
x/y
Answer: A
Question: Henry answered 4/5 of the questions he was given for homework in the first hour, 5/19 of the remaining questions in the second hour and the remaining x questions in the third hour where x is an integer. How many questions was Henry given for homework?
Choices:
(95/7)*x
(95/14)*x
(95/21)*x
(95/28)*x
Answer: B
Question: Jagan went to the book shop and bought things worth Rs. 30, out of which 25 paise went on sales tax on taxable purchases. If the tax rate was 5%, then what was the cost of the tax free items?
Choices:
Rs 25
Rs 24.75
Rs 26
None of these
Answer: B
Question: A money lender lends Rs.2000 for six months at 20% p.a. rate. It the interest is reckoned quarterly than find the amount given after time limit.
Choices:
2205
2229
2289
2202
Answer: A
Question: An inlet pipe fill a tank in 5 hrs and outlet pipe empty same tank in 36 hrs working indiviually.how many additional number of outlet pipes of same capacity required to be opened so that tank never over flows
Choices:
7
8
9
10
Answer: A
Question: In an apartment building that has 490 units, 4 out of every 7 units are currently rented, including 1/6 of the one-bedroom units. If, of the rented apartments, there is a 6:1 ratio of two-bedroom units to one-bedroom units, and the building only consists of two-bedroom and one-bedroom units, how many two-bedroom units are not rented?
Choices:
70
100
105
10
Answer: D
Question: Sony and Johnny caught 80 fishes. Sony caught four times as many as Johnny. How many fishes did Johnny catch?
Choices:
16
34
38
42
Answer: A
Question: A train passes a station platform in 48 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:
420 m
240 m
320 m
None
Answer: A
Question: If 9 pumps can raise 1085 tonnes of water in 10 days, working 7 hours a day; in how many days will 8 pumps raise 868 tonnes of water, working 9 hours a day?
Choices:
7
8
9
10
Answer: A
Question: Starting from 1 if you are asked to write first 172 digits of the natural numbers , which digit you stop at?
Choices:
7
8
9
10
Answer: C
Question: when n divided by 3, the remainder is 2.
when n divided by 4, the remainder is 1
what is the the remainder when divided by 11
Choices:
3
4
5
6
Answer: D
Question: At the end of year X, automobile installment credit accounted for 20% of all outstanding consumer installment credit. At that time automobile finance companies extended $57 billion of credit, or 1/3 of the automobile installment credit. How many billion dollars of consumer installment credit was outstanding at that time?
Choices:
855
870
788
684
Answer: A
Question: A man can row with a speed of 20 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
Choices:
27
20
25
2
Answer: C
Question: A positive number x is multiplied by 7, and this product is then divided by 3. If the positive square root of the result of these two operations equals x, what is the value of x ?
Choices:
7/3
4/3
2/3
1/2
Answer: A
Question: One fast typist type some matter in 3 hrs and another slow typist type the same matter in 5hrs. If both do combine in how much time they will take to finish.
Choices:
1 hr 10 mins
1 hr 12 mins
3 hr 10 mins
4 hr 5 mins
Answer: B
Question: A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?
Choices:
3 hrs 45 min
4 hrs
4 hrs 15 min
5 hrs 15 min
Answer: A
Question: Having received his weekly allowance, John spent 3/5 of his allowance at the arcade. The next day he spent one third of his remaining allowance at the toy store, and then spent his last $0.40 at the candy store. What is John’s weekly allowance?
Choices:
$1.50
$2.50
$3.00
$3.50
Answer: A
Question: 10x + 2y = -4
4x + y = 1
In the system of equations above, what is the value of x?
Choices:
-3
-1
1
3
Answer: A
Question: If p and r are positive integers such that p > r > 1, what is the remainder when 92p × 5p+r + 11r × 6pr is divided by 10?
Choices:
B.1
C.3
D.4
E.5
Answer: A
Question: There are 750 male and female participants in a meeting. Half the female participants and one-quarterof the male participants are Democrats. One-third of all the participants are Democrats. How many of the Democrats are female?
Choices:
100
125
175
225
Answer: B
Question: If a - b = 3 and a2 + b2 = 29, find the value of ab.
Choices:
10
13
14
15
Answer: A
Question: The average weight of three boys M, N and P is 54 1/3 kg, while the Average weight of three boys N, Q and R is 53 kg. What is the average weight of M, N, P, Q and R?
Choices:
53.2 kg
53.8 kg
Data Inadequate
None of these
Answer: C
Question: City A and City B are 140 miles apart. Train C departs City A, heading towards City B, at 4:00 and travels at 40 miles per hour. Train D departs City B, heading towards City A, at 4:40 and travels at 20 miles per hour. The trains travel on parallel tracks. At what time do the two trains meet?
Choices:
5:30
6:40
6:30
7:00
Answer: B
Question: If a2 - b2 = 8 and a*b = 2, find a4 + b4.
Choices:
72
82
92
62
Answer: A
Question: 3 OUT OF 1500 PARTS OF EARTH IS SULPHUR. WHAT IS THE PERCENTAGE OF SULPHUR IN EARTH
Choices:
1/5
1/45
2/45
NONE OF THESE
Answer: A
Question: A train 200 m long can cross an electric pole in 5 sec and then find the speed of the train?
Choices:
124
134
144
154
Answer: C
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
Choices:
177 m
278 m
150 m
271 m
Answer: C
Question: In 1 hour, a boat goes 10 km along the stream and 12 km against the stream. The speed of the boat in still water (in km/hr) is :
Choices:
2 km/hr.
11 km/hr.
8 km/hr.
5 km/hr.
Answer: B
Question: Three people are playing cards. What is the probability that a card drawn from a pack of 52 cards will be a diamond or a king?
Choices:
2/11
4/13
5/13
5/14
Answer: B
Question: If a computer program generates three-digit odd numbers using the numbers 9, 7, 0, 8, and 1, and the digits can be repeated, what is the probability that the number formed from the program is a multiple of three?
Choices:
1/3
1/5
1/6
1/7
Answer: A
Question: Miguel is 46 years old. He is 6 years older than twice his son’s age. Find the age of his son.
Choices:
12years
13years
14years
20years
Answer: D
Question: if integer N has p factors ; how many factors will 5N have ?
Choices:
2p
P+1
2p+1
Cannot be determined
Answer: D
Question: There are 42 distinct numbers in set M, there are 28 distinct numbers in set N, and there are 12 distinct numbers that are in both sets M and N. Set H is the set containing the elements that are in at least one of sets M and N. How many elements are in set H?
Choices:
40
51
58
63
Answer: C
Question: If a and b are positive integers and (2^a)^b = 2^5, what is the value of 2^a*2^b?
Choices:
64
16
32
4
Answer: A
Question: If population of certain city increases at the rate of 5%. If population in 1981 was 138915, then population in 1978 was?
Choices:
120000
299992
188611
122111
Answer: A
Question: What percent is 6 gm of 1 kg?
Choices:
0.5 %
0.6 %
3.5 %
4 %
Answer: B
Question: A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Choices:
60
75
90
95
Answer: C
Question: What is the average of first 21 multiples of 5 ?
Choices:
B)77
C)55
D)81
E)82
Answer: B
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 6 hours. How long would it take Taimour to paint the fence alone?
Choices:
8 hours
18 hours
24 hours
32 hours
Answer: B
Question: A is faster than B. A and B each walk 24 km. The sum of their speeds is 7 km/hr and the sum of times taken by them is 14 hours. Then, A's speed is equal to?
Choices:
3 km/hr
17km/hr
16km/hr
19km/hr
Answer: A
Question: Each of the 11 letters A, H, I, M, O, T, U, V, W, X and Z appears same when looked at in a mirror. They are called symmetric letters. Other letters in the alphabet are asymmetric letters. How many two letter computer passwords can be formed (no repetition allowed) with at least one symmetric letter?
Choices:
6,435
12,100
2420
25,740
Answer: C
Question: A, B and C rents a pasture for Rs.870. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay?
Choices:
270
773
562
277
Answer: A
Question: If Rs.3250 be divided among Ram, Shyam and Mohan in the ratio of 1/2:1/3:1/4 then the share of each are?
Choices:
750
237
198
121
Answer: A
Question: Average of five numbers is -10, and the sum of three of the numbers is 16, wat is the average of the other 2 numbers?
Choices:
-33
-45
-56
45
Answer: A
Question: A child must place 5 different toys in 4 different bins. If any of the toys can go in any of the bins, in how many ways can the child place the toys into the bins?
Choices:
6^4
4^5
4^4
6^4-4^6
Answer: B
Question: 0.1+(0.1)^2+(0.1)^3=
Choices:
0.111
0.1211
0.2341
0.3
Answer: A
Question: 3 boys and 7 girls can complete John work in 10 days . But 4 boys and 6 girls need 8 days to complete the same work . In how many days will 10 girls complete the same work?
Choices:
35 days
40 days
50 days
60 days
Answer: B
Question: If u, v, and w are consecutive integers such that u > v > w and the sum of u, v, and w is a multiple of 10, which of the following could be the value of u?
Choices:
1
9
10
12
Answer: A
Question: If x^2 + y^2 = 50, then the greatest possible value of y is between
Choices:
4 and 5
5 and 6
7 and 8
9 and 10
Answer: C
Question: Oak trees line both sides of a street for a length of 5/8 of a kilometer. If there is 16 meters of space between the trees, and each tree is 1 meter wide, how many trees are there along the street?
Choices:
b)	23
c)	38
d)	44
e)	46
Answer: B
Question: One-sixth of the students at a nursery school are 5 years old or older. If 15 students have not yet reached their fourth birthday, and a total of 30 students are not between 4 years old and 5 years old, how many children are in the nursery school?
Choices:
55
60
65
70
Answer: B
Question: The length of the bridge, which a train 100 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
Choices:
240
245
250
275
Answer: D
Question: In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to with the remaining meal ?
Choices:
32 men
34 men
30 men
None of these
Answer: C
Question: Some of 15%-intensity red paint is replaced with 25% solution of red paint such that the new paint intensity is 30%. What fraction of the original paint was replaced?
Choices:
1/3
1/2
3/2
3/5
Answer: C
Question: 15 men take 21 days of 8 hrs. each to do a piece of work. How many days of 2 hrs. each would it take for 21 women if 3 women do as much work as 2 men?
Choices:
20
40
60
90
Answer: D
Question: Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 75 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Choices:
30
26
23
12
Answer: A
Question: On a certain number line, conditions are x<y<z<u<v and xyzuv>0. Which of the following must be true?
I xy>0 II zu>0 III zu>0
Choices:
I & II only
III only
II only
II and III only
Answer: A
Question: 5^5 is equal to which of the following?
Choices:
3,125
9,660
5,662
5,608
Answer: A
Question: Running at constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?
Choices:
1800
2700
10800
10900
Answer: A
Question: A lighting store is stocked with 410 fixtures. Some of the fixtures are floor lamps and the rest are table lamps. If 5% of the floor lamps and 30% of the table lamps are imported, what is the smallest possible number G of imported lamps stocked at the store?
Choices:
10
13
20
23
Answer: D
Question: If the positive integer y is divisible by 2, 4, and 8, then which of the following must y be divisible by?
I. 8
II. 31
III. 45
Choices:
I only
I and II only
II and III only
I, II, and III
Answer: A
Question: The volumes of two cubes are in the ratio 27: 125, what shall be the ratio of their surface areas?
Choices:
9 : 25
3:5
11:25
16:25
Answer: A
Question: Phil’s only source of income comes from his job as a question writer. In this capacity, Phil earns a flat salary of $200 per week plus a fee of $9 for every question that he writes. Every year, Phil takes exactly two weeks of unpaid vacation to visit his uncle, a monk in Tibet, and get inspired for the next year. If a regular year consists of 52 weeks and the number of questions that Phil wrote in each of the past 5 years was an odd number greater than 20, which of the following could be Phil’s median annual income over the past 5 years?
Choices:
$25,673
$27,318
$28,495
$31,227
Answer: C
Question: What is the lowest possible common multiple H of 2 distinct integers, each greater than 329?
Choices:
330^2
33·331
660
330
Answer: C
Question: A shopkeeper sold an article at $1170 and gained a 20% profit. What was the cost price?
Choices:
$975
$1000
$1025
$1050
Answer: A
Question: At present the ratio between the ages of Arun and Deepak is 5:7. After 6years, Arun's age will be 36 years. What is the age of Deepak at present?
Choices:
25years
42years
39years
40years
Answer: B
Question: Joan took out a mortgage from hel local bank. Each monthly mortgage payment she makes must be triple the amount of the previous month's payment. If her first payment is $100, and the total amount she must pay back is $2952400, how many months will it take Joan to pay back her mortgage?
Choices:
8
10
11
13
Answer: B
Question: At a contest with 2,500 participants, 1/2 of the people are aged 10 to 12. Next year, the number of people aged 10 to 12 will increase by 1/5. After this change, what percentage of the total 2,500 people will the 10- to 12-year-olds represent?
Choices:
60%
50%
45%
66%
Answer: A
Question: What leat value must be assigned to * so that the number 63576*2 is divisible by 8?
Choices:
2
3
4
5
Answer: B
Question: A grocer purchased a quantity of bananas at 3 pounds for $0.50 and sold the entire quantity at 4 pounds for $1.00. How many pounds did the grocer purchase if the profit from selling the bananas was $8.00?
Choices:
60
96
120
240
Answer: B
Question: The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8339 for a computer table, then what was the cost price of the computer table?
Choices:
Rs.6298
Rs.6290
Rs.6725
Rs.6708
Answer: C
Question: If 2/(a + 4) = 3/(a - 5), then a = ?
Choices:
-19
-23
-21
-22
Answer: D
Question: In given series 1, 8, 27, 64, 124, 216, 343 only one number is incorrect. Find out that wrong number
Choices:
126
127
124
125
Answer: C
Question: In the coordinate plane, points (x, 1) and (7, y) are on line k. If line k passes through the origin and has slope 1/7, then x - y =
Choices:
6
5
8
3
Answer: A
Question: If the 30th january 2003 was thursday, what was the day day on 2nd march, 2003?
Choices:
sunday
tuesday
saturday
monday
Answer: A
Question: When all the students in a school are made to stand in rows of 54, 30 such rows are formed. If the students are made to stand in rows of 45, how many such rows will be formed ?
Choices:
36
38
28
11
Answer: A
Question: A train 250 m long, running with a speed of 50 km/hr will pass a tree in?
Choices:
18sec
25sec
30sec
1min
Answer: A
Question: At what time between 4 and 5 o'clock will the hands of a watch point in opposite directions?
Choices:
(54 + 6/11) past 2
(54 + 6/11) past 7
(54 + 6/11) past 4
(54 + 6/11) past 1
Answer: C
Question: In a garden, 26 trees are planted at equal distances along a yard 300 metres long, one tree being at each end of the yard. What is the distance between two consecutive trees?
Choices:
20 metres
14 metres
12 metres
13 metres
Answer: C
Question: The C.P of 20 books is equal to the S.P of 30 books. Find his gain% or loss%?
Choices:
34.33%
33.33%
31.33%
36.33%
Answer: B
Question: Look at this series: 544, 509, 474, 439, ... What number should come next?
Choices:
404
420
445
None
Answer: A
Question: A car started running at a speed of 30 km/hr and the speed of the car was increased by 2 km/hr at the end of every hour. Find the total distance covered by the car in the first 9 hours of the journey.
Choices:
342 km
642 km
742 km
382 km
Answer: A
Question: Two pipes A and B can fill a tank in 12 and 24 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?
Choices:
8 min
6 min
4 min
5 min
Answer: A
Question: Two pipes A and B can fill a cistern in 37 1/2 minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the pipe B is turned off after?
Choices:
9
8
2
4
Answer: A
Question: There 3 kinds of books in the library physics, chemistry and biology. Ratio of physics to chemistry is 3 to 2; ratio of chemistry to biology is 4 to 3, and the total of the books is more than 3000. Which one of following can be the total Q of the book?
Choices:
3003
3024
3021
3018
Answer: A
Question: In a triangle, one side is 6 Cm and another side is 8 Cm. which of the following can be the perimeter of the triangle?
Choices:
22.
30.
32.
34.
Answer: A
Question: In a box, there are 6 blue, 7 white and 4 yellow bulbs. One bulb is picked up randomly. What is the probability that it is neither white nor blue?
Choices:
5/16
8/32
4/17
6/17
Answer: C
Question: The length of the bridge, which a train 120 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
255 m
245 m
19 m
27 m
Answer: A
Question: A frog jumps 3 ft comes back 2ft in a day. In how many days it will come out of 30ft deep well
Choices:
28
29
30
31
Answer: A
Question: what is the units digit of the expression 7^75+6?
Choices:
3
5
7
9
Answer: D
Question: The average runs scored by a batsman in 10 matches is 40. In the next 10 matches the batsman scored an average of 30 runs. Find his average in all the 20 matches?
Choices:
35
88
13
12
Answer: A
Question: The length of a rectangle is twice its breadth. If its length is decreased by 4 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 75 sq. cm. Find the length of the rectangle.
Choices:
20/3cm
20cm
16cm
14cm
Answer: A
Question: Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 13 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
Choices:
408
279
276
291
Answer: A
Question: If 36 men can do a piece of work in 25 hours, in how many hours will 12 men do it?
Choices:
38
60
88
75
Answer: D
Question: For a certain exam,a score of 86 was 7 standard deviations below mean and a score of 90 was 3 standard deviations above mean.What was the mean score for the exam?
Choices:
84
85
88.8
80
Answer: C
Question: A store sells chairs and tables. If the price of 2 chairs and 1 table is 60% of the price of 1 chair and 2 tables, and the price of 1 table and 1 chair is $60, what is the price, in dollars, of 1 table? (Assume that every chair has the same price and every table has the same price.)
Choices:
105/2
44
52
50
Answer: A
Question: Which one of the following is not a prime number?
Choices:
61
71
91
101
Answer: C
Question: Bobby has 23 Pokemon cards and he would like to give four friends his
cards. How many cards will each friend get? Will there be any cards left
over?
Choices:
5 cards-3 left over
7 cards-5 left over
8 cards-6 left over
9 cards-7 left over
Answer: A
Question: A batsman scored 210 runs which included 3 boundaries and 8 sixes. What % of his total score did he make by running between the wickets
Choices:
50%
65%
71.4%
75%
Answer: C
Question: Jamshid and Irwin decided to make up their own version of basketball. In addition to being able to score 2-point baskets, they created ways to score 5-, 11-, and 13-point baskets. If at halftime the product of the point values of Irwin’s baskets was 2,420, how many 11-point baskets E did Irwin score?
Choices:
1
2
3
4
Answer: B
Question: A bakery currently has 9 pies and 2 cakes in its inventory. The bakery’s owner has decided to display 5 of these items in the bakery’s front window. If the items are randomly selected, what is the probability that the display will have exactly 3 pies?
Choices:
4/7
5/7
2/11
3/11
Answer: C
Question: David and Rachel are getting married. The extended family wants to have its picture taken, but David's father is unwilling to stand next to Rachel's mother. How many options does the photographer have to arrange the 15 family members in a row for the picture?
Choices:
14×13!
13×14!
14!/2!
13!
Answer: B