antoine-444/aqua_rat_dataset huggingface dataset:
Question: Find out the wrong number in the given sequence of numbers.
1, 2, 6, 15, 31, 57
Choices:
57
15
31
91
Answer: A
Question: If C(n, 7) = C(n, 5), find n
Choices:
12
18
-1
-2
Answer: A
Question: A sum of money at simple interest amounts to Rs. 2240 in 2 years and to Rs. 2600 in 5 years. What is the principal amount
Choices:
1500
2000
2500
3500
Answer: B
Question: Amanda goes to the toy store to buy 1 ball and 3 different board games. If the toy store is stocked with 3 types of balls and 6 types of board games, how many different selections Q of the 4 items can Amanda make?
Choices:
12
14
15
60
Answer: D
Question: A wheel rotates 10 times every minute and moves 30 cm during each rotation. How many metres does
the wheel move in two hour?
Choices:
12 metre
120 metre
876 metre
360 metre
Answer: D
Question: Look at this series: 31, 29, 24, 22, 17, ... What number should come next?
Choices:
15
16
17
18
Answer: A
Question: A Man travelled a distance of 80 km in 10 hours. He travelled partly on foot at 5 km/hr and partly on bicycle at 9 km/hr. What is the distance travelled on foot?
Choices:
14 km
12 km
10 km
None of these
Answer: C
Question: John makes $40 a week from his job. He earns a raise and now makes $70 a week. What is the % increase?
Choices:
16.66%
17.9%
18.12%
75%
Answer: D
Question: At a conference, the only events scheduled for the day are seminars and breaks. All seminars are the same length and are 10 times as long as each break. A break must be between two consecutive seminars. If the first seminar begins at 9:00 a.m. and the third one ends at 11:20 a.m., how long will the conference last if there are a total of 6 seminars that day?
Choices:
hours and 20 minutes
hours and 25 minutes
hours and 30 minutes
hours and 35 minutes
Answer: A
Question: When n is divided by 19, the remainder is 7. When n is divided by 11, the quotient is equal to Z, and the remainder is equal to 7. Z must be divisible by which of the following numbers?
Choices:
18
20
19
22
Answer: C
Question: In the formula A = (2r)^3, if r is halved, then A is multiplied by ?
Choices:
1/8
1
8
1/64
Answer: A
Question: In a 8 x 8 chess board what is the total number of squares.
Choices:
204
678
169
161
Answer: A
Question: Two circular signs are to be painted. If the radius of the larger sign is three times that of the smaller sign, how many times more paint is needed to paint the larger sign? (We can assume that a given amount of paint covers the same area on both signs.)
Choices:
9
12
15
18
Answer: A
Question: If 20 machine can finish a job in 36 days, then how many more machines would be needed to finish the job in one -third less time?
Choices:
b. 8
c. 10
d. 12
e. 16
Answer: B
Question: In terms of percentage profit, which among following the best transaction.
Choices:
C.P. 50, Profit 24
C.P. 40, Profit 19
C.P. 60, Profit 29
C.P. 70, Profit 39
Answer: C
Question: A and B can do a piece of work in 3 days, B and C in 4 days, C and A in 6 days. How long will C take to do it?
Choices:
20 days
24 days
30 days
32 days
Answer: B
Question: A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2460?
Choices:
14029
14027
14000
14298
Answer: C
Question: Two cars A and B are running towards each other from different places 88 km apart. If the ratio of the speeds of the cars A and B is 5 : 6 and the speed of the car B is 90 km per hour then after how long will the two meet each other?
Choices:
24 minutes
32 minutes
36 minutes
None of these
Answer: B
Question: If A can do a work in 8 days and B can do the same work in days,in how many days A and B together can finish the work
Choices:
3 3/7
5 3/7
6 3/7
None of these
Answer: A
Question: On Saturday, the original price of a shirt was discounted by 20%. On Monday, the price of the shirt was marked up p percent so that the new price on Monday was 20% more than the original price before the discount. What is the value of p?
Choices:
30%
33 1⁄3%
40%
50%
Answer: D
Question: The ratio of length of two refill is 9:8.2nd refill got damaged when only half length of 2nd refill get used.The ratio of total no. of pages written by both refill.
Choices:
6:5
9:8
9:4
5:4
Answer: C
Question: if {x+y}/{x-y}= 4/3 and x≠0, then what percentage (to the nearest integer) of x+3y is x–3y ?
Choices:
40%
55%
36%
None of these
Answer: A
Question: How long does a train 200 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length?
Choices:
12.1 sec
16.1 sec
13.1 sec
16.6 sec
Answer: D
Question: Two trains leave the same train station at 6:00 am and 6:30 am and they travel at 100 kph and 120 kph respectively. How many kilometers from the train station will the two trains be together?
Choices:
300
340
360
380
Answer: A
Question: One hour after Matthew started waking from e to y, a distance of 45km, Johnny started walking along the same road from y to e. Matthew's walking rate was 3 km per hour and Johnny's was 4km per hour, how many km had Johnny walked when they met?
Choices:
24
22
21
19.5
Answer: A
Question: what is the Max number of rectangular boxes, each measuring 4 inches by 6 inches by 10 inches, that can be packed into a rectangular packing box measuring 16 inches by 18 inches by 30 inches, if all boxes are aligned in the same direction?
Choices:
36
12
15
11
Answer: A
Question: In an arithmetic progression the difference between the any two consecutive terms is a constant. What is the arithmetic mean of all of the terms from the first to the 29th in an arithmetic progression if the sum of the 13th and 17th terms of the sequence is 102?
Choices:
47
51
55
59
Answer: B
Question: Hariprasad and Madhusudan started a business, investing sums in the ratio of 2 : 3. If Hariprasad had invested an additional amount of 10,000 the ratio of Hariprasad's investment to Madhusudan's investment would have been 3 : 2. What was the amount invested by Hariprasad?
Choices:
8000
9000
Data inadequate
None of these
Answer: A
Question: In 1950, Richard was 4 times as old as Robert. In 1955, Richard was 3 times as old as Robert. In which year was Richard 1.5 times as old as Robert?
Choices:
1965
1970
1975
2000
Answer: D
Question: In a hot dog eating contest the average number of hot dogs that were eaten by boys was 7 each, and the average number eaten by girls was 5 each. If the total number of hot dogs eaten during the contest was 50, what was the total number of boys and girls in the contest?
Choices:
7
8
9
10
Answer: B
Question: A certain restaurant offers 8 different salads, 6 different main courses, 6 different desserts. If customers choose one salad, one main course and two different desserts for their meal, how many different meals are possible?
Choices:
120
480
600
1200
Answer: A
Question: A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 650 sq. feet, how many feet of fencing will be required?
Choices:
40
85
88
None
Answer: B
Question: If an article is sold at 19% profit instead of 12% profit, then the profit would be Rs. 105 more. What is the cost price?
Choices:
1543
1500
1278
1202
Answer: B
Question: A shipment of 1500 heads of cabbage, each of which was approximately the same size, was purchased for $600. The day the shipment arrived 1/3 of the heads were sold, each at 25% above the cost per head. The following day the rest were sold at a price equal to 5% less than the price each head sold for on the day before. What was the total gross profit on this shipment.
Choices:
b $115
c $120
d $125
e $135
Answer: C
Question: 30 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work ?
Choices:
20
36
25
13
Answer: A
Question: QUANT 4-PACK SERIES Problem Solving Pack 4 Question 2 For every positive integer n...
For every positive integer n that is greater than 1, the function a(n) is defined to be the sum of all of the odd integers from 1 to n, inclusive. The a(n) could have any of the following units digits except…?
Choices:
2
4
6
9
Answer: A
Question: A towel, when bleached, lost 30% of its length and 25% of its breadth. What is the percentage decrease in area?
Choices:
30 %
44%
54%
47.5%
Answer: D
Question: A computer manufacturer produces a certain electronic component at a cost of $80 per component. Shipping costs for delivering the components are $7 per unit. Further, the manufacturer has costs of $16,500 a month related to the electronic component regardless of how many it produces. If the manufacturer produces and sells 150 components a month, what is the lowest price it can sell them for such that the costs don't exceed the revenues?
Choices:
$82
$110
$138
$197
Answer: D
Question: 2 hours after a freight train leaves Delhi a passenger train leaves the same station travelling in the same direction at an average speed of 16 km/hr. After travelling 4 hrs the passenger train overtakes the freight train. The average speed of the freight train was?
Choices:
40
58
60
11
Answer: D
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 12 miles per gallon, and from Town B to Town C, the car averaged 11 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
15.3
Answer: A
Question: If 5 less than x is 2 greater than y, then a number z that is 5 greater than x reduced by y is equal to
Choices:
12
14
y + 9
y + 14
Answer: A
Question: An analyst will recommend a combination of 2 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 6 stocks are possible?
--
Choices:
19
60
160
180
Answer: D
Question: A trader marked the selling price of an article at 10% above the cost price. At the time of selling, he allows certain discount and suffers a loss of 1%. He allowed a discount of :
Choices:
10 %
11 %
12.5 %
None
Answer: A
Question: Karen places a bet with Tom that she will beat Tom in a car race by 4 miles even if Karen starts 4 minutes late. Assuming that Karen drives at an average speed of 60 mph and Tom drives at an average speed of 45 mph, how many Y miles will Tom drive before Karen wins the bet?
Choices:
18
21
24
27
Answer: C
Question: The price of a scooter and TV are in the ratio 7:5. If the scooter costs $100 more than the TV. then the price of the TV?
Choices:
350
250
500
150
Answer: A
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. 6900?
Choices:
s. 5991
s. 6001
s. 6991
s. 7391
Answer: D
Question: In an animal behavior experiment, 25 tagged white pigeons and 250 tagged gray pigeons were released from a laboratory. Within one week, 88 percent of the white pigeons and 80.5 percent of the gray pigeons had returned to the laboratory. What percent of the total number of pigeons returned to the laboratory?
Choices:
82
81.5
85
81.25
Answer: D
Question: If four boxes of crayons contain six different colored crayons in each box, and a crayon is randomly selected from each box, what is the probability of getting at least one pair of the same colored crayons?
Choices:
13/18
1/2
2/3
1/6
Answer: A
Question: A certain quantity is measured on two different scales, the R scale and the S scale, that are related linearly. Measurements on the R scale of 6 and 24 correspond to the measurements on the S scale of 30 and 60 respectively. What measurement on the R scale corresponds to a measurement of 75 on the S scale?
Choices:
33
36
39
42
Answer: A
Question: John invested $ 30000 at 7% per annum, He got 34347 after some period, The interest was calculated compoundly. Find the period?
Choices:
2 Years
3 Years
4 Years
3 1/2 Years
Answer: A
Question: The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is:
Choices:
40 years
50 years
45 years
None of these
Answer: A
Question: A call center has two teams. Each member of Team A was able to process 2/5 calls as compared to each member of Team B. If Team A has 5/8 as many number of call center agents as Team B, what fraction of the total calls was processed by Team B?
Choices:
3/4
4/5
1/2
1/5
Answer: B
Question: A grocer has 400 pounds of coffee in stock, 30 percent of which is decaffeinated. If the grocer buys another 100 pounds of coffee of which 60 percent is decaffeinated, what percent, by weight, of the grocer’s stock of coffee is decaffeinated?
Choices:
30%
36%
36%
40%
Answer: C
Question: A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, the how old is B?
Let C's age be x years. Then, B's age = 2x years. A's age = (2x + 2) years.
(2x + 2) + 2x + x = 27
5x = 25
x = 5.
Hence, B's age = 2x = 10 years.
Choices:
8
9
10
11
Answer: C
Question: A reduction of 10% in the price of rice enables a man to obtain 2 kgs more for Rs.1000, what is the reduced price for kg?
Choices:
Rs.44
Rs.46
Rs.48
Rs.50
Answer: D
Question: A, B and C can do a work in 4 days, 8 days and 12 days respectively. In how many days can all three of them working together, complete the work?
Choices:
5 2/11 days
2 1/11 days
3 2/11 days
2 2/11 days
Answer: D
Question: A monkey start climbing up a tree 20ft tall.Each hour it hops 3 ft and slips back 2ft.How much time would it take the monkey to reach the top.
Choices:
18 hrs
19 hrs
17 hrs
16 hrs
Answer: A
Question: A and B walk around a circular track. They start at 8 a.m. from the same point in the opposite directions. A and B walk at a speed of 2 rounds per hour and 2 rounds per hour respectively. How many times shall they cross each other before 9.30 a.m. ?
Choices:
B)61
C)8
D)6
E)9
Answer: C
Question: How many digits are in the number 50^8 × 8^3 × 11?
Choices:
18
19
22
17
Answer: A
Question: If the average (arithmetic mean) of a and b is 140, and the average of b and c is 100, what is the value of a − c?
Choices:
−100
100
135
80
Answer: D
Question: If [x] is the greatest integer less than or equal to x, what is the value of [-6.2]+[-3.4]+[12.7] ?
Choices:
-1
1
2
3
Answer: A
Question: Pipe P can drain the liquid from a tank in 1/4 the time that it takes pipe Q to drain it and in 2/3 the time that it takes pipe R to do it. If all 3 pipes operating simultaneously but independently are used to drain liquid from the tank, then pipe Q drains what portion of the liquid from the tank?
Choices:
3/23
3/8
17/29
3/4
Answer: A
Question: Find the sum which will yield an interest of Rs.910 in 2 1/2 years at 7% p/a simple interest.
Choices:
Rs.4200
Rs.6200
Rs.5200
Rs.7200
Answer: C
Question: John has taken four (4) tests that have an average of 81. In order to bring his course grade up to a ‘B’, he will need to have a final average of 87. What will he need to average on his final two tests to achieve this grade?
Choices:
90
92
94
99
Answer: D
Question: The H.C.F. of two numbers is 59 and the other two factors of their L.C.M. are 13 and 16. The larger of the two numbers is:
Choices:
944
456
323
899
Answer: A
Question: In the first M games of a team's season, the ratio of the team's wins to its losses was 1:2. In the subsequent N games, the ratio of the team´s wins to losses was 1:4. If M:N = 4:5, what was the ratio of the team's wins to its losses for all M+N games?
Choices:
7:20
11:27
23:54
31:77
Answer: A
Question: A number when divided successively by 4 and 5 leaves remainders 1 and 4 respectively. When it is successively divided by 5 and 4, then the respective remainders will be
Choices:
2,3
3,7
2,7
8,7
Answer: A
Question: Which of the following is equal to 10^-(-3)^3?
Choices:
1/(10^28)
1/(10^29)
1/(10^27)
1/(10^25)
Answer: C
Question: 3 men or 6 women can do a piece of work in 24 days. In how many days will 12 men and 8 women do the same work?
Choices:
9/2 days
18/4 days
11/4 days
35/4 days
Answer: A
Question: In what time will Rs.5000 lent at 3% per annum on simple interest earn as much interest as Rs.5000 will earn in 5 years at 4% per annum on simple interest?
Choices:
6 2/3
6 1/3
6 1/2
6 1/5
Answer: A
Question: Jack takes a loan of $120,000 with 12% annual interest: the interest is paid once, at the end of the year. Jill takes a loan of $120,000 with 12% annual interest, compounding monthly at the end of each month. At the end of one full year, compared to Jack's loan interest, approximately how much more does Jill have to repay?
Choices:
$81.90
$8190.03
$819.00
$8.19
Answer: C
Question: shopkeeper buys two articles for Rs.1000 each and then sells them, making 20% profit on the first article and 20% loss on second article. Find the net profit or loss percent?
Choices:
9%
3%
4%
2%
Answer: C
Question: In a certain pond, 50 fish were caught, tagged, and returned to the pond. A few days later, 50 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond?
Choices:
625
1250
2500
10000
Answer: B
Question: A group of two women and three men have tickets for seven adjacent seats in one row of a theatre. If the three men will not sit in three adjacent seats, how many possible different seating arrangements are there for these 7 theatre-goers?
Choices:
7! – 4!3!
5! – 3!3!
7 × 2!3!2!
2!3!2!
Answer: B
Question: The product of two numbers is 2028 and their H.C.F is 13. The number of such pairs is?
Choices:
2
3
4
9
Answer: A
Question: A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
Choices:
256 m
120 m
216 m
268 m
Answer: B
Question: The 19th of September 1987 was a Saturday. If 1988 was a leap-year, what day of the week was the 24th of September 1990?
Choices:
Monday
Wednesday
Thursday
Friday
Answer: A
Question: A man invested Rs. 1552 in a stock at 97 to obtain an income of Rs. 128. The dividend from the stock is :
Choices:
8 %
9.7 %
None of these
Cannot be determined
Answer: A
Question: If a man were to sell his chair for Rs. 720, he would lose 25%. To gain 25% he should sell it for:
Choices:
Rs. 1,200
Rs. 960
Rs. 900
None
Answer: A
Question: The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
298
245
200
212
Answer: B
Question: A and B invests Rs.10000 each, A investing for 4 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.4000, find their shares?
Choices:
1000,3000
1000,2000
1000,5000
1000,2500
Answer: A
Question: The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 28 years. Find the average age of the women?
Choices:
98
32
28
37
Answer: B
Question: Each of the following equations has at least one solution EXCEPT C. Is it true?
Choices:
2*a = (–2)*-a
-2*a = -2-a
(–2)a = –2a
(–2)-a = –2-a
Answer: B
Question: A sum of money lent at compound interest for 2 years at 20% per annum would fetch Rs.482 more, if the interest was payable half yearly than if it was payable annually . The sum is
Choices:
20000
200029
288778
277789
Answer: A
Question: One-third less than 15% of 180 is equal to:
Choices:
18
35
40
45
Answer: A
Question: Let y=1+1/2+1/3+1/2+......, what is the value of y ?
Choices:
(√11 - 3 ) / 2
(√15 + 3 ) / 2
(√15 - 3 ) / 2
None of these
Answer: C
Question: What is theleast number should be added to 1056, so the sum of the number is completely divisible by 23?
Choices:
2
4
6
7
Answer: A
Question: A person says that their speed while going to a city was 10mph however while
returning as there is no much traffic they came with a speed of 15mph. what is their
average speed?
Choices:
12
14
15
16
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 m
140 m
135 m
155 m
Answer: A
Question: Rahim bought 65 books for Rs.1160 from one shop and 50 books for Rs.920 from another. What is the average price he paid per book ?
Choices:
Rs.20
Rs.18.08
Rs.28.08
Rs.38.08
Answer: B
Question: If an object travels 70 feet in 2 seconds, what is the object’s approximate speed in miles per hour? (Note: 1 mile = 5280 feet)
Choices:
17.28
19.54
21.73
23.86
Answer: D
Question: Meena wrote all the numbers from 1 to 29,999 inclusive. How many digits did she write in total?
Choices:
138,889
159,889
188,789
188,989
Answer: A
Question: Two taps can separately fill a cistern 5 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in?
Choices:
B)6
C)8
D)9
E)4.74
Answer: D
Question: Evaluate: 50 - 12*3*2 = ?
Choices:
52
32
12
42
Answer: D
Question: In a certain business school class, p students are accounting majors, q students are finance majors, r students are marketing majors, and s students are strategy majors. If pqrs = 1365, and if 1< p < q < r < s, how many students in the class are marketing majors?
Choices:
5
7
11
17
Answer: B
Question: What is the probability of getting a sum 9 from two throws of dice
Choices:
1/9
1/12
2/9
None of these
Answer: A
Question: A rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m?
Choices:
3909
3929
3900
3912
Answer: C
Question: In an examination, a student scores 4 marks for every correct answer and loses I mark for every wrong answer. If he attempts in all 60 questions and secures 130 marks, the number of questions he attempts correctly, is:
Choices:
38
40
42
45
Answer: A
Question: Of the total amount that Jill spent on a shopping trip, excluding taxes, she spent 50 percent on clothing, 25 percent on food, and 25 percent on other items. If Jill paid a 10 percent tax on the clothing, no tax on the food, and an 20 percent tax on all other items, then the total tax that she paid was what percent of the total amount that she spent, excluding taxes?
Choices:
10
15
20
25
Answer: A
Question: When x - p is divided by p , the quotient is n and there is no remainder. Which of the following must be the value of x?
Choices:
p(n + 1)
p(n + 1) + 2n
p(n - 1) + 2n
n(p + 1) (p − 1)
Answer: A
Question: Last year, Company X paid out a total of $1,050,000 in salaries to its 21 employees. If no employee earned a salary that is more than 8% greater than any other employee, what is the lowest possible salary that any one employee earned?
Choices:
$41,667
$42,000
$46,460.17
$60,000
Answer: C
Question: 2 chairs and 1 table cost $110. 4 chairs and 1 table cost $166. How much does one chair cost?
Choices:
56
110
28
54
Answer: C
Question: Find a sum for first 4 prime no's from number series?
Choices:
28
30
17
36
Answer: C
Question: After giving a discount of rs.45 the shopkeeper gets a loss of 10%,if the cost price is rs.180.find the markup %?
Choices:
0.2
0.17
0.21
0.15
Answer: D
Question: A man buys a cycle for Rs. 1400 and sells it at a loss of 12%. What is the selling price of the cycle?
Choices:
s. 1160
s. 1232
s. 1202
s. 1204
Answer: B
Question: The cost of painting the four walls of a room is Rs.350. The cost of painting a room three times in length, breadth and height will be :
Choices:
Rs.1400
Rs.3150
Rs.4200
None
Answer: B
Question: The average of 13 numbers is 59. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th number?
Choices:
59
45
53
64
Answer: A
Question: An industrial loom weaves 0.128 metres of cloth every second. Approximately, how many seconds will it take for the loom to weave 24 metre of cloth ?
Choices:
195 seconds
155 seconds
188 seconds
115 seconds
Answer: C
Question: An investor bought a 1-year $7,000 certificate of deposit that paid interest at an annual rate of 10 percent compounded semiannually. What was the total amount of interest paid on this certificate at maturity?
Choices:
$367.25
$700
$717.50
$1400
Answer: C
Question: A sum of Rs.2200 has been divided among A, B and C such that A gets 1/4 of what B gets and B gets 1/5 of what C gets. What is B's share?
Choices:
352
322
332
362
Answer: A
Question: 1,3,5,7,9,..50 find term of sequnce
Choices:
1300
1500
1679
2500
Answer: D
Question: A and B rent a pasture for 10 months. A put in 80 cows for 7 months. How many can B put in for the remaining 3 months, if he pays half as much again as A?
Choices:
169
197
280
176
Answer: C
Question: A pet store owner has 12 cats and 20 dogs. They want to have 20% more cats than dogs. How many dogs do they have to sell to achieve their goal of having 20% more cats than dogs assuming they do not sell any cats in this time.
Choices:
8
10
12
14
Answer: C
Question: A inlet pipe can fill a tank in 12 hours and an outlet pipe can empty the tank in 16 hours. If both the pipes are opened simultaneously, find the time taken to fill the tank.
Choices:
12 hours
4 hours
48 hours
58 hours
Answer: C
Question: If the average of 20 digits is 500 and the average of 14 of them is 390, calculate the average of the remaining 6 numbers?
Choices:
756.7
753.7
752.7
722.7
Answer: A
Question: The instructions state that Cheryl needs 4/9 square yards of one type of material and 2/3 square yards of another type of material for a project. She buys exactly that amount. After finishing the project, however, she has 6/12 square yards left that she did not use. What is the total amount of square yards of material Cheryl used?
Choices:
1/9
2/3
1 1/9
11/18
Answer: D
Question: A woodworker normally makes a certain number of parts in 24 days. But he was able to increase his productivity by 5 parts per day, and so he not only finished the job in only 22 days but also he made 80 extra parts. How many parts does the woodworker normally makes per day and how many pieces does he make in 24 days?
Choices:
420
560
190
360
Answer: D
Question: An investment of y dollars at p percent simple interest yields $600 interest over a 3-year period. In terms of y, what dollar amount invested at the same rate will yield the same amount of interest over a 2-year period?
Choices:
3/4 y
3/2 y
2y
3y
Answer: B
Question: We run a business that rents out canoes and kayaks. A canoe rental costs $9 per day, and a kayak rental costs $12 dollars per day. One day, our business rents out 4 canoes for every 3 kayaks and receives a total of $432 in revenue. How many more canoes than kayaks were rented out?
Choices:
9
8
7
6
Answer: D
Question: If x is an integer that has exactly three positive divisors (these include 1 and x), how many positive divisors does x^3 have?
Choices:
5
6
7
8
Answer: C
Question: In a college, the ratio of the number of boys to girls is 8 : 5. If there are 250 girls, the total number of
students in the college is
Choices:
520
620
650
None of these
Answer: C
Question: 1.45, 2.56, 4.78, 8.11, 12.55, (....)
Choices:
16.2
15.3
19.5
18.1
Answer: D
Question: If u, v, w, x, y, and z are six different prime numbers, which of the following is the smallest possible value of u + v + w + x + y + z?
Choices:
37
39
41
43
Answer: C
Question: For any integer n greater than 1, #n denotes the product of all the integers from 1 to n, inclusive. How many prime numbers V are there between #6 +2 and #6 +6 , inclusive?
Choices:
None
Two
Three
Four
Answer: A
Question: The cost of carpeting a room 15 meters long with a carpet 75 cm wide at 30 paisa per meter is Rs. 36. The breadth of the room is ?
Choices:
6 meters
9 meters
10 meters
12 meters
Answer: A
Question: On Thursday Mabel handled 90 transactions. Anthony handled 10% more transactions than Mabel, Cal handled 2/3rds of the transactions that Anthony handled, and Jade handled 17 more transactions than Cal. How much transactions did Jade handled?
Choices:
81
82
83
84
Answer: C
Question: A rainstorm increased the amount of water stored in State J reservoirs from 124 billion gallons to 138 billion gallons. If the storm increased the amount of water in the reservoirs to 82 percent of total capacity, approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm?
Choices:
14
25
30
44
Answer: D
Question: Two trains T1 and T2 start simultaneously from two stations X and Y respectively towards each other. If
they are 70 km apart both 3 and 6 hours after start, then find the distance between the two stations.
Choices:
210 km
220km
180km
200km
Answer: A
Question: A ranch has both horses and ponies. Exactly 3/10 of the ponies have horseshoes, and exactly 5/8 of the ponies with horseshoes are from Iceland. If there are 3 more horses than ponies, what is the minimum possible combined number of horses and ponies on the ranch?
Choices:
141
152
163
174
Answer: C
Question: The ratio of cats to dogs to birds to fish is 8:9:10:11. There are no other types of animals in the pet store. which of the followingcannotbe the total number of animals in the store?
Choices:
114
152
190
345
Answer: D
Question: The value of a stock is Y dollars. On Sunday the stock's value grew by half of its value, but on Monday its value dropped to a third of its new value. What is the stock's value at the end of Monday?
Choices:
Y/2.
2Y/3.
Y/3.
Y/4.
Answer: A
Question: Find the missing number of the following series?
16 8 24 12 36 18 54 ? 81
Choices:
27
29
26
None
Answer: A
Question: The volumes of two cones are in the ratio 1 : 10 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire?
Choices:
2:5
2:2
2:2
2:8
Answer: A
Question: Benny goes to the market for buying some apples to be distributed between her nine kids equally.She takes 360 dollars with her .The cost of each apple is 2 dollars .How many apples does she buy to share them equally between her six kids?
Choices:
30
3
7
10
Answer: A
Question: If the sum and difference of two numbers are 10 and 19 respectively, then the difference of their square is:
Choices:
28
160
180
190
Answer: D
Question: If 13 = 13w/(1-w) ,then (w)2 =
Choices:
1/2
1
2
3
Answer: B
Question: a^(-4x/3) = a^-4
What is the value of x ?
Choices:
3
-1
-4
-2/3
Answer: A
Question: From a bunch of seven keys, three particular keys have to be used to open a combination lock, such that the second key can be used only after the first key and the third key can be used only after the second key. What are the chances of opening the lock in a random selection of three keys?
Choices:
1/70
1/140
1/210
1/350
Answer: C
Question: If A:B = 2:3 and B:C = 4:5 then A:B:C is
Choices:
5:4:6
8:12:15
6:4:5
none
Answer: B
Question: One half of a two digit number exceeds its one fourth by 3. What is the sum of the digits of the number?
Choices:
3
11
12
15
Answer: A
Question: If a coin is flipped, the probability that the coin will land heads is 1/2. If the coin is flipped 5 times, what is the probability that it will land tails up on the first 4 flips and not on the last flip?
Choices:
1/32
1/4
1/2
1/16
Answer: A
Question: A FIVE DIGIT NUMBER IS FORMED BY USING THE DIGITS 0,1,2,3,4 WITH OUT REPETITIONS . WHAT IS THE PROBABILITY THE NUMBER IS DIVISIBLE BY4?
Choices:
5/6
2/5
7/3
2/7
Answer: B
Question: How many 4 digit numbers can be formed with the digits 0, 1, 2, 3, 4, 5, 6 and 2?
Choices:
b. 249
c. 432
d. 216
e. 288
Answer: D
Question: Sum of two numbers prime to each other is 15 and their L.C.M. is 56. What are the numbers?
Choices:
5 and 10
7 and 9
7 and 8
10 and 8
Answer: C
Question: If A speaks the truth 75% of the times, B speaks the truth 60% of the times. What is the probability that they tell the truth at the same time
Choices:
0.48
0.45
0.482
0.411
Answer: B
Question: The salary of Mr. X is 30% more than that of Mr. Y . Find what percent of Mr. Y’s salary is less than Mr. X’s?
Choices:
23 7/3%
23 1/3%
23 1/3%
53 3/3%
Answer: B
Question: A bag of potatoes weighs 50 lbs divided by half of its weight. How much does the bag of potatoes weight?
Choices:
30 lb
10 lb
15 lb
5 lb
Answer: B
Question: If xy > 0, which of the following must be negative?
Choices:
-x/y
x/y
2xy
2x/y
Answer: A
Question: The length of the bridge, which a train 140 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
Choices:
235 m
245 m
250 m
270 m
Answer: A
Question: Which is a better investment 5% stock at 412 or 3 3/2 stock at 360?
Choices:
Both are equally good
Cannot be compared, as the total amount of investment is not given
None
3 3/2 stock at 360
Answer: D
Question: A, B and C started a business with capitals of Rs. 8000, Rs. 10000 and Rs. 12000 respectively. At the end of the year, the profit share of B is Rs. 1900. The difference between the profit shares of A and C is?
Choices:
760
155
600
441
Answer: A
Question: 66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length if the wire in meters will be:
Choices:
80 m
84 m
88 m
90 m
Answer: B
Question: 4 professors and 6 students are being considered for membership on a supervisory committee which must consist of 3 people. If the committee has to include at least 1 professor, how many ways can this committee be formed?
Choices:
60
72
80
100
Answer: D
Question: A,B,C together can do a work in 8 days. A alone can do the work in 30 days and B alone can do the same work in 20 days. Find in what time C alone can do that work?
Choices:
20.8days
24days
28.5days
32.4days
Answer: B
Question: Find the value of 72519 x 9999 = m?
Choices:
345455672
353456678
725117481
789545233
Answer: C
Question: The compound interest on $ 30,000 at 7% per annum is $4347. The period (in years) is:
Choices:
2
3
4
5
Answer: A
Question: It is known that no more than 8 children will be attending a party. What is the smallest number of cookies that must be brought to the party so that each child receives the same number of cookies?
Choices:
105
180
210
840
Answer: D
Question: A, B and C rents a pasture for Rs.435. 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:
120
268
198
176
Answer: A
Question: Of all the students in a certain dormitory, 1/2 are first-year students and the rest are second-year students. If 4/5 of the first-year students have not declared a major and if the fraction of second-year students who have declared a major is 1 times the fraction of first-year students who have declared a major, what fraction of all the students in the dormitory are second-year students who have not declared a major?
Choices:
1/5
4/15
1/3
2/5
Answer: D
Question: Mother is aged thrice than her daughter Silvia. After 8 years, he would be 2(1/2) times of Silvia’s age. After 8 years, how many times would she be of Silvia’s age?
Choices:
2 years
3 years
5 years
6 years
Answer: A
Question: One fish tank is half full. After adding 10 gallons the tank is 7/8 of the tank. Calculate the capacity of the fish tank.
Choices:
80/3 gallons
70/3 gallons
60/3 gallons
50/3 gallons
Answer: A
Question: Raji,Lakshmi and Priya enter into partnership. Raji invests some money at the beginning, Lakshmi invests double the amount after 6 months, and Priya invests thrice the amount after 8 months. If the annual gain be Rs.12000. Priya's share is?
Choices:
3500
4500
2800
4000
Answer: D
Question: Present ages of X and Y are in the ratio 5:6 respectively. Seven years hence this ratio will become 6:7 respectively. What is X's present age in years?
Choices:
35 years
55 years
44 years
33 years
Answer: A
Question: In how many different number of ways a Committee of 3person of can be selected from 4boys and 3girls such that at least 1 girl is included in the committe
Choices:
29
31
17
85
Answer: B
Question: The area of a parallelogram is 1764sq m and its base is nine times size of the corresponding altitude. Then the length of the base is?
Choices:
9
11
14
7
Answer: C
Question: In order to fence a square Manish fixed 48 poles. If the distance between two poles, is 3 metres then what will be the area of the square so formed?
Choices:
2600 cm2
2500 cm2
1296 cm2
None of these
Answer: C
Question: After decreasing 20% in the price of an article costs Rs.200. Find the actual cost of an article?
Choices:
250
260
270
300
Answer: A
Question: During a certain two-week period, 76 percent of the movies rented from a video store were comedies, and of the remaining movies rented, there were 5 times as many dramas as action movies. If no other movies were rented during that two-week period and there were A action movies rented, then how many comedies, in terms of A, were rented during that two-week period?
Choices:
19A
17A
18A
20A
Answer: A
Question: A store sells branded shirts for $20 each and unbranded shirts $16 each. On every branded shirt, the store makes a profit of $6 while on every unbranded shirt it makes a profit of $4. If on a given day the store's sales amounted to $960, which of the following cannot be the profit made on that day?
Choices:
$268
$270
$272
$276
Answer: B
Question: A fruitseller sells mangoes at the rate of Rs.9 per kg and thereby loses 20%.At what price per kg,he should have sold them to make a profit of 5% ?
Choices:
Rs.11.81
Rs.12.25
Rs.12.31
None
Answer: A
Question: A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
Choices:
4:5
2:5
2:4
2:7
Answer: B
Question: A shipment of 1500 heads of cabbage, each of which was approximately the same size was purchased for $600.The day the shipment arrived 2/3 of the heads were sold, each at 25% above the cost per head.The following day the rest were sold at a price per head equal to 10% less than the price each head sold for the day before.what was the gross profit E on this shipment?
Choices:
b) $115
c) $125
d) $130
e) $135
Answer: B
Question: The sum of first five prime numbers is:
Choices:
28
55
33
58
Answer: A
Question: The circumference of a circle is equal to 72 pi. Find the radius of this circle.
Choices:
36
37
38
39
Answer: A
Question: There are three numbers. 5/7th of the first number is equal to 48% of the second number. The second number is 1/9th of the third number. If the third number is 1125, then find 25% of the first number?
Choices:
18
12
21
10
Answer: C
Question: A rectangular field has to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required?
Choices:
82
84
88
86
Answer: C
Question: Anil purchases two books for Rs.100. He sells first at loss of 5% and second al 20% profit. If he gets Overall profit of 5% then what is cost of first book?
Choices:
Rs.60
Rs.55
Rs.58
Rs.56
Answer: A
Question: A group of boy scouts and girls scouts is going on a rafting trip. 80% of the scouts arrived with signed permission slips. If 40% of the scouts were boy scouts and 75% of the boy scouts arrived with signed permission slips, then what percentage of the girl scouts arrived with signed permission slips? Round to the nearest percent.
Choices:
81
82
83
85
Answer: C
Question: Ifaequals the sum of the even integers from 2 to 20, inclusive, andbequals the sum of the odd integers from 1 to 19, inclusive, what is the value of a + b ?
Choices:
100
190
200
210
Answer: D
Question: We bought 85 hats at the store. Blue hats cost $6 and green hats cost $7. The total price was $540. How many green hats did we buy?
Choices:
B)30
C)40
D)42
E)44
Answer: A
Question: If a man can cover 12 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Choices:
162
882
155
101
Answer: A
Question: The price of a certain house this year is $140,000, which is 25 percent greater than the cost of the house last year. What was the price of the house last year?
Choices:
$112,000
$116,000
$118,000
$120,000
Answer: A
Question: The ratio between x and y is 8/3; x is multiplied by x and y is multiplied by y , what is the ratio between the new values of x and y?
Choices:
8/3
1
64/9
It Cannot Be Determined
Answer: A
Question: A function g(n), where n is an integer, is defined as the product of all integers from 1 to n. How many of the followings must be a prime number?
g(7) + 2; g(7) + 3; g(7) + 4; and g(7) + 5?
Choices:
2
3
4
none
Answer: D
Question: Three unbased coins are tossed. the probability of getting at least two head is ?
Choices:
1/2
3/4
2/3
2/5
Answer: A
Question: The distance light travels in one year is approximately 5,890,000,000,000 miles. The distance light travels in 100 years is
Choices:
B) 587 × 1010 miles
C) 587 × 10-10 miles
D) 589 × 1012 miles
E) 587 × 10-12 miles
Answer: C
Question: Adding 35% of x to x is equivalent to multiplying x by which of the following?
Choices:
1.05
1.35
1.2
1.25
Answer: B
Question: A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?
Choices:
Rs. 45
Rs. 55
Rs. 60
None
Answer: A
Question: A company has two models of computers, model X and model Y. Operating at a constant rate, a model X computer can complete a certain task in 60 minutes and a model Y computer can complete the same task in 30 minutes. If the company used the same number of each model of computer to complete the task in 1 minute, how many model X computers were used?
Choices:
16
15
17
20
Answer: D
Question: A set M contains element all even number between 1 and 23 and all odd numbers 24 and 100. if all the elements of the set multiplied than how many trailing 0 , resulting number will contains?
Choices:
12
9
8
7
Answer: A
Question: If the ratio of boys to girls in a class is B and the ratio of girls to boys is G; then 3 (B + G) is ?
Choices:
Less than 3
More than 3
Less than 1/3
none of these
Answer: B
Question: Two trains 200m and 160m long run at the speed of 68kmph and 40kmph in opposite directions in parallel tracks. The time which they take to cross each other is?
Choices:
8.9sec
10.8sec
12 sec
15sec
Answer: C
Question: Anne bought doughnuts for a class breakfast party. She bought 12 chocolate doughnuts, 12 coconut doughnuts, and 10 jam-filled doughnuts. How many doughnuts did Anne buy in all?
Choices:
34
39
21
11
Answer: A
Question: A is half good a work man as B and together they finish a job in 14 days. In how many days working alone B finish the job?
Choices:
21
77
99
12
Answer: A
Question: The mass of 1 cubic meter of a substance is 400 kilograms under certain conditions. What is the volume, in cubic centimeters, of 1 gram of this substance under these conditions? (1 kilogram = 1,000 grams and 1 cubic meter = 1,000,000 cubic centimeters)
Choices:
1.25
8.0
2.5
80.0
Answer: C
Question: A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B =2:3 and B:C = 2:5. If the total runs scored by all of them are 75, the runs scored by B are?
Choices:
18
30.93
20.93
10.93
Answer: A
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.32000?
Choices:
33888
77678
200988
40500
Answer: D
Question: When 5% is lost in grinding wheat, a country has to import 20 million bags; but when only 2% is lost, it has to import only 15 million bags. Find the quantity of wheat, which grows in the country?
Choices:
166 2/5
166 2/8
166 2/3
166 2/1
Answer: C
Question: Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 60 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
Choices:
15 min
17 1/7 min
7 1/7 min
7 2/7 min
Answer: A
Question: A goods train runs at a speed of 72 kmph and crosses a 260 m long platform in 26 seconds.What is the length of the goods train?
Choices:
240 m
260 m
270 m
250 m
Answer: B
Question: Along a yard 225 metres long, 26 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between two consecutive trees
Choices:
9
10
11
12
Answer: A
Question: Three printing presses, W, S, and T, working together at their respective constant rates, can do a certain printing job in 4 hours. S and T, working together at their respective constant rates, can do the same job in 5 hours. How many hours would it take W, working alone at its constant rate, to do the same job?
Choices:
10
12
15
20
Answer: D
Question: An urn contains 5 red, 6 blue and 8 green balls. 3 balls are randomly selected from the urn, find the probability that the drawn ball are 2 blue and 1 red?
Choices:
25/323
28/989
74/879
23/589
Answer: A
Question: If the SI on a certain sum of money is 4/25 of the sum and the rate per cent equals the number yrs, then the rate of interest/annum is?
Choices:
4%
6%
7%
9%
Answer: A
Question: How many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Choices:
277
500
288
212
Answer: B
Question: Out of eight crew members three particular members can sit only on the left side. Another two particular members can sit only on the right side. Find the number of ways in which the crew can be arranged so that four men can sit on each side.
Choices:
863
865
1728
890
Answer: C
Question: The average earning of a mechanic for the first-four days of a week is Rs. 18 and for the last four days is Rs. 22. If he earns Rs . 41 on the fourth day, his average earning for the whole week is ?
Choices:
Rs 16
Rs. 17
Rs. 25.71
None of these
Answer: B
Question: FOG + FOG + FOG + FOG = 1444.
If F,O and G are digits in a three-digit number in the preceding equation the F + O + G = ?
Choices:
12
13
10
15
Answer: C
Question: A fruit wholesale dealer has been paid $329,864 in his savings account. What is the least amount of money (in whole number of dollars) that he must add to his account if if he wants to be sure that all 9 of his salesmen have paid evenly?
Choices:
$2
$3
$4
$6
Answer: C
Question: If m,n,o,p are four consecutive even numbers, their average is
Choices:
(m + 3)
5(m+n+o+p)
mnop
None of these
Answer: A
Question: A shopkeeper sold an article at $100 with 45% profit. Then find its cost price?
Choices:
$100
$91
$72
$69
Answer: D
Question: Six lights begin to flash together at 12:00 noon and flash respectively at intervals of 3, 4, 5, 6, 7, and 8 seconds. Not including the flash at 12:00 noon, how many more times will all six lights flash together before 1:00 pm (i.e. one hour later)?
Choices:
4
8
10
12
Answer: A
Question: A caterer ordered 125 ice-cream bars and 125 sundaes. If the total price was $225.00 and the price of each ice-cream bar was $0.60, what was the price of each sundae?
Choices:
$0.80
$1.00
$1.20
$1.60
Answer: C
Question: If a can do a work in 10 days and a and b can do a same piece of job in 5 days. IN how days can do a work b alone?
Choices:
10
5
15
9
Answer: A
Question: How many terms are in the G.P. 3, 6, 12, 24, ......., 384 ,768,1536
Choices:
9
67
5
10
Answer: D
Question: A certain factory produces buttons and buckles at a uniform weight. If the total weight of 2 buttons and 2 buckles is one third of 11 buckles and 3 buttons, then the weight of 3 buttons and 2 buckles is how many times that of 4 buckles and 6 buttons?
Choices:
4/9.
6/11.
1/2.
8/15.
Answer: C
Question: A 4-letter code word consists of letters L, M, AND N. If the code includes all the three letters, how many such codes are possible?
Choices:
36
24
44
22
Answer: A
Question: At a certain organisation, the number of male members went up by 14% in the year 2001 from year 2000, and the number of females members went down by 6% in the same time period. If the total membership at the organisation went up by 1.2% from the year 2000 to 2001, what was the ratio of male members to female members in the year 2000?
Choices:
1:3
2:3
3:2
4:7
Answer: D
Question: A candidate got 35% of the votes and lost to the rival by 1350 votes. How many votes were cast?
Choices:
4500
5000
5500
6000
Answer: A
Question: A and B invest in a business in the ratio 3: 2. Assume that 5% of the total profit goes to charity. If A's share is Rs. 855, what is the total profit?
Choices:
1300
1500
1400
1700
Answer: B
Question: How many positive integers less than 100 have a remainder of 2 when divided by 13?
Choices:
7
8
9
6
Answer: B
Question: When the positive integer a is divided by 11, the quotient is b and the remainder 3. When a is divided by 19, the remainder is also 3. What is the remainder when b is divided by 19?
Choices:
3
2
1
0
Answer: D
Question: There are 6periods in each working day of a school. In how many ways can 1 arrange 5subjects such that each subject is allowed at least 1period?
Choices:
1800
2000
2500
2600
Answer: A