antoine-444/aqua_rat_dataset huggingface dataset:
Question: The average weight of a class of 20 boys was calculated to be 58.4 kgs and it was later found that one weight was misread as 56 kg instead of 65 kg. What is the correct weight?
Choices:
57.75kg
58.85kg
49.4kg
None of these
Answer: B
Question: By selling 12 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
Choices:
8
17
7
77
Answer: A
Question: A train crosses a pole in 10 sec and a 200m long platform in 20 sec. What is the length of the train?
Choices:
200m
250m
300m
350m
Answer: A
Question: Three candidates contested in an election and received 3136, 7636, 11628 votes respectively. What is the percentage of the total votes did the winning candidate get?
Choices:
49%
52%
51%
62%
Answer: B
Question: For every $20 that a billionaire spends, a millionaire spends the equivalent of 20 cents. For every $4 that a millionaire spends, a yuppie spends the equivalent of $2. The ratio of money spent by a yuppie, millionaire, and billionaire can be expressed as
Choices:
1 :2 : 200
20 : 4 : 1
100 : 4 : 1
400 : 4 : 1
Answer: A
Question: Ajay and Vijay have some marbles with them. Ajay told Vijay "if you give me 'x' marbles, both of us will have equal number of marbles". Vijay then told Ajay "if you give me twice as many marbles, I will have 30 more marbles than you would". Find 'x'?
Choices:
5
6
4
3
Answer: A
Question: The average age of students of a class is 15.8 years. The average age of boys in the class is 16.3 years and that of the girls is 15.4 years. The ration of the number of boys to the number of girls in the class is?
Choices:
2:3
4:5
2:1
2:4
Answer: B
Question: A person lent a certain sum of money at 4% per annum at simple interest and in 8 years the interest amounted to Rs.340 less than the sum lent. What was the sum lent?
Choices:
278
289
500
821
Answer: C
Question: By how much is 12% of 24.2 more than 10% of 14.2 ?
Choices:
14.84
1.484
2.762
None
Answer: B
Question: In a certain population, there are 3 times as many people aged twenty or under as there are people over twenty. The ratio of those twenty or under to the total population is
Choices:
3 to 4
1 to 4
2 to 3
3 to 5
Answer: A
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?
Choices:
12/429
12/455
12/419
12/492
Answer: B
Question: A manufacturer sells a pair of glasses to a wholesale dealer at a profit of 18%. The wholesaler sells the same to retailer at a profit of 20%. The retailer in turn sells them to a customer for Rs. 30.09, there by earning a profit of 25%. The cost price for the manufacturer is?
Choices:
10
17
18
12
Answer: B
Question: The average age of 19 boys and the class teacher is 16 years. If the ages of the class teacher and one of the boys are excluded, the average age reduces to 15 years. What is the age of the class teacher ?
Choices:
26
50
88
21
Answer: B
Question: Ramesh can finish a piece of work in 22 days. Rohan is twice as efficient as Ramesh. If they work together how many days will they need to finish the same amount of work?
Choices:
22/3 days
10/3 days
11/3 days
7/3 days
Answer: A
Question: The average age of 19 students in a group is 17 years. When teacher’s age is included to it, the average increases by one. What is the teacher’s age in years?
Choices:
37
38
cannot be determined
None of these
Answer: A
Question: The banker's gain on a bill due due 1 year hence at 12% per annum is Rs.6. The true discount is
Choices:
Rs.36
Rs.54
Rs.50
none
Answer: C
Question: A group of 6 fishermen chartered a boat for a day to fish for flounder. The boat costs x dollars per day to rent. If the group can find 3 more fishermen on the docks who are willing to come aboard and share the rental costs, how much less will the rental cost be per person in terms of x?
Choices:
x/18
3x/70
3x/10
3x/7
Answer: A
Question: A scale 6 ft. 8 inches long is divided into 5 equal parts. Find the length of each part.
Choices:
77 inches
16 inches
97 inches
66 inches
Answer: B
Question: The average age of a group of 10 students was 20. The average age increased by 4 years when two new students joined the group. What is the average age of the two new students who joined the group?
Choices:
30 years
34 years
44 years
None of these
Answer: C
Question: A is twice as good a workman as B and together they finish a piece of work in 18 days. In how many days will A alone finish the work?
Choices:
25 days
27 days
29 days
19 days
Answer: B
Question: One card is drawn from a pack of 52 cards. What is the probability that the card drawn is either a red card or a king?
Choices:
3/13
4/19
7/13
6/19
Answer: C
Question: A tradesman by means of his false balance defrauds to the extent of 20%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Choices:
48%
44%
49%
42%
Answer: B
Question: Company C sells a line of 20 products with an average retail price of $1,200. If none of these products sells for less than $400, and exactly 10 of the products sell for less than $1,000, what is the greatest possible selling price of the most expensive product?
Choices:
11000
10000
13000
15000
Answer: A
Question: Find the odd man out. 7, 14, 21, 28, 35, 50, 56
Choices:
50
51
90
115
Answer: A
Question: A and B started a business in partnership investing Rs.20,000 and Rs.15,000 respectively. After six months, C joined them with Rs.20,000. What will be B's share in the total profit of Rs.25,000 earned at the end of 2 years from the starting of the business?
Choices:
Rs.7500
Rs.9500
Rs.10,000
None
Answer: A
Question: How much more would Rs.20000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?
Choices:
A)Rs.6,602.50
C)Rs.6,603.50
D)Rs.6,604.50
E)Rs.6,605.50
Answer: A
Question: How many iron rods, each of length 7 m and diameter 2 cm can be made out of 0.88 cubic meter of iron?
Choices:
100
250
200
400
Answer: D
Question: Jayant opened a shop investing Rs. 30,000. Madhu joined him 2 months later, investing Rs. 45,000. They earned a profit of Rs. 56,000 after completion of one year. What will be Madhu's share of profit?
Choices:
Rs. 28,000
Rs. 30,000
Rs. 36,000
None of these
Answer: A
Question: A computer manufacturer produces a certain electronic component at a cost of $80 per component. Shipping costs for delivering the components are $2 per unit. Further, the manufacturer has costs of $16,200 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
$190
$192
Answer: C
Question: Carl is facing very difficult financial times and can only pay the interest on a $10,000 loan he has taken. The bank charges him a quarterly compound rate of 8%. What is the approximate interest he pays annually?
Choices:
1750
2000
3500
2500
Answer: C
Question: In Jeevans opinion, his weight is greater than 65 kg but less than 72 kg. His brother does not agree with Jeevan and he thinks that Jeevans weight is greater than 60 kg but less than 70 kg. His mothers view is that his weight cannot be greater than 68 kg. If all of them are correct in their estimation, what is the average of different probable weights of Jeevan?
Choices:
67 kg
69 kg
None of these
Cannot be determined
Answer: A
Question: The interest on Rs. 750 for 2 years is the same as the true discount on Rs. 960 due 2 years hence. If the rate of interest is the same in both cases, it is:
Choices:
13%
14%
15%
18%
Answer: B
Question: How many 0's are there in the binary form of 6*1024 + 4*64 + 2
Choices:
7
8
10
9
Answer: D
Question: Jerome anticipated that the WebWeb.com stock price would fall and sold all his WebWeb.com stocks for $5 per stock. He paid $10,000 tax on the revenue. A week later, Jerome became convinced that the WebWeb.com stock price would rise, and he used the money that he had gotten from selling the WebWeb.com stocks to purchase them again, this time at $6 per stock. If Jerome ended up having 5000 WebWeb.com stocks fewer than the number he had before selling them, how many WebWeb.com stocks did he have originally?
Choices:
11,600
12,000
15,000
16,400
Answer: C
Question: A train 125 m long passes a man, running at 4 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
Choices:
49 kmph
51 kmph
52 kmph
53 kmph
Answer: A
Question: If a is an integer and (a^2)/(12^3) is odd, which of the following must be an odd integer?
Choices:
a/12
a/27
a/36
a/72
Answer: D
Question: Rs.800 amounts to Rs.920 in 3 years at simple interest. If the interest is increased by 3%, it would amount to how much?
Choices:
277
223
992
213
Answer: C
Question: If the diameter of circle R is 50% of the diameter of circle S, the area of circle R is what percent of the area of circle S?
Choices:
25%
20%
15%
10%
Answer: A
Question: A survey of n people in the town of Eros found that 50% of them preferred Brand A. Another surveyof 100 people in the town of Angie found that 60% preferred Brand A. In total, 55% of all the people surveyed together preferred Brand A. What is the total number of people surveyed?
Choices:
100
150
200
250
Answer: C
Question: In a certain Parallelogram the degree measure of one angle exceeds that of the other by 20 what is the degree measure of the smaller angle?
Choices:
80
85
90
95
Answer: A
Question: In the third grade of Windblown School there are 96 students, one third of them failed the math test and 1/6 failed that literature test. At least how many students failed both tests?
Choices:
0.
8.
10.
12.
Answer: A
Question: The fourth proportional to 12, 14 and 18 is?
Choices:
21
55
88
61
Answer: A
Question: A pupil's marks were wrongly entered as 73 instead of 63. Due to the average marks for the class got increased by half. The number of pupils in the class is?
Choices:
82
20
27
29
Answer: B
Question: A box measuring 72 inches long by 48 inches wide by 24 inches deep is to be filled entirely with identical cubes. No space is to be left unfilled. What is the smallest number of cubes that can accomplish this objective?
Choices:
18
54
108
162
Answer: D
Question: Given that G and H are events such that
Q(G)= 0.30
Q(H)=0.9
Q(GnH)=0.9
find Q (G|H) and Q(G|H)
Choices:
1/6
1/3
1/6
1/3
Answer: B
Question: How many 2 digits number are there which when subtracted from the number formed by reversing its digits as well as when added to the number formed by reversing its digit, result is a perfect square.
Choices:
64
65
66
67
Answer: B
Question: How many pieces can a square pizza be cut into by making 6 linear cuts?
Choices:
21
22
23
24
Answer: B
Question: What is the greatest prime factor of 4^16 - 2^28?
Choices:
3
5
7
11
Answer: B
Question: A bat is bought for Rs.400 and sold at a gain of 30% find its selling price?
Choices:
s.480/-
s.500/-
s.520/-
s.540/-
Answer: C
Question: In a division, a student took 87 as divisor instead of 36. his answer was 24 . The correct answer is-
Choices:
32
48
28
58
Answer: D
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
30
35
48
Answer: A
Question: Matt gets a $1,000 commission on a big sale. This commission alone raises his average commission by $150. If Matt's new average commission is $550, how many sales has Matt made?
Choices:
4
5
6
7
Answer: A
Question: The Cottage Grove Loop Line travels the distance between the north side and the south side of the city in two hours, at a rate of speed of 100 km/h. How long is a round trip, measured in kilometers?
Choices:
150 km
200 km
300 km
400 km
Answer: D
Question: A vending machine randomly dispenses four different types of fruit candy. There are twice as many apple candies as orange candies, twice as many strawberry candies as grape candies, and twice as many apple candies as strawberry candies. If each candy cost $0.1, and there are exactly 90 candies, what is the minimum amount of money required to guarantee that you would buy at least three of each type of candy?
Choices:
$8.30
$22.50
$42.75
$45.00
Answer: A
Question: A completes a work in 12 days and B complete the same work in 24 days. If both of them work together, then the number of days required to complete the work will be?
Choices:
8 days
21 days
22 days
24 days
Answer: A
Question: If x is less than y by 20% then y exceed x by:
Choices:
25%
75%
66.66%
None of these
Answer: A
Question: A can do a piece of work in 4 days. B can do it in 8 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?
Choices:
8 days
67 days
1 days
18 days
Answer: A
Question: What is the least common multiple of 15, 22 and 24?
Choices:
120
240
1320
1720
Answer: C
Question: It takes printer A 4 more minutes more than printer B to print 40 pages. Working together, the two printers can print 50 pages in 6 minutes. How long will it take Printer A to print 160 pages?
Choices:
18
48
20
30
Answer: B
Question: Last year Sandy saved 6% of her annual salary. This year, she made 10% more money than last year, and she saved 9% of her salary. The amount saved this year was what percent of the amount she saved last year?
Choices:
152%
165%
176%
190%
Answer: B
Question: A boy is travelling from his home to school at 4 km/hr and reached 7 min late. Next day he traveled at 8 km/hr and reached 8 min early. Distance between home and school?
Choices:
2km
4km
5km
6km
Answer: A
Question: In an exam, Dibi scored 25 percent, Balan scored 38 percent and Cristen 23 percent. The maximum score awarded in the exam is 1200. Find the average mark scored by all the three boys?
Choices:
342
344
328
320
Answer: B
Question: The forth proportional to 1,2,3 is?
Choices:
4
8
9
6
Answer: D
Question: Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A ?
Choices:
Rs. 13, Rs. 17
Rs. 13, Rs. 12
Rs. 13, Rs. 11
Rs. 13, Rs. 10
Answer: A
Question: Let the polynomials be:
P1(x)=3x2−7x+7,
P2(x)=−5x2−4x+2,
P1(x)+P2(x)=
Choices:
-2x2 - 11x + 9
-2x2 - 11x + 6
2x2 - 9x + 7
None of these
Answer: A
Question: In a game, one player throws two fair, six-sided die at the same time. If the player receives at least a five or a two on either die, that player wins. What is the probability that a player wins after playing the game once?
Choices:
4/9
5/9
2/3
3/4
Answer: B
Question: The income of a broker remains unchanged though the rate of commission is increased from 4% to 5%. The percentage of slump in business is ?
Choices:
1%
20%
80%
NONE
Answer: B
Question: Two trains of length 200 m and 300 m are 200 m apart. They start moving towards each other on parallel tracks, at speeds 36 kmph and 72 kmph. In how much time will the trains cross each other?
Choices:
70/7
70/5
70/3
70/1
Answer: C
Question: What is the sum of this series?
1, 3, 5, 7, 9, ...... 45.
Choices:
529
612
512
589
Answer: A
Question: Angelina walked 960 meters from her home to the grocery at a constant speed. She then walked 480 meters to the gym at double the speed. She spent 40 seconds less on her way from the grocery to the gym than on her way from home to the grocery. What was Angelina's speed, in meters per second, from the grocery to the gym?
Choices:
13
24
36
42
Answer: C
Question: A mixture contains alcohol and water in the ratio 4 : 3. If 8 litres of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture
Choices:
10 litres
30 litres
22 litres
16 litres
Answer: D
Question: A 340-liter solution of Kola is made from 80% water, 6% concentrated Kola and the rest is made from sugar. If 3.2 liters of sugar, 10 liter of water and 6.8 liters of concentrated Kola were added to the solution, what percent of the solution is made from sugar?
Choices:
7.5%.
9.2%.
10.5%.
14%.
Answer: D
Question: Tough and Tricky questions: Combinations.
Three students - 2 boys and 1 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:
4
72
240
720
Answer: A
Question: What is the remainder when 3^25 is divided by 5?
Choices:
1
2
3
4
Answer: C
Question: James eats cookies every day. The first day, he eats 2 cookies. He eats 4 more cookies each day after that. What is the average number of cookies he eats per day for the first 2 weeks?
Choices:
32.14
49.28
30
33.33
Answer: A
Question: A can do a piece of work in 15 days and B in 20 days. They began the work together but 5 days before the completion of the work, A leaves. The work was completed in?
Choices:
11 3/7 days
12 3/7 days
19 3/7 days
13 3/7 days
Answer: A
Question: Real-estate salesman Z is selling a house at a 20 percent discount from its retail price. Real-estate salesman X vows to match this price, and then offers an additional 20 percent discount. Real-estate salesman Y decides to average the prices of salesmen Z and X, then offer an additional 20 percent discount. Salesman Y's final price is what fraction of salesman X's final price?
Choices:
29/32
30/31
40/41
34/15
Answer: A
Question: An article manufactured by a company consists of two parts X and Y. In the process of manufacturing of part X, 9 out 100 parts many be defective. Similarly , 5 out of 100 are likely to be defective in the manufacturer of Y. Calculate the probability that the assembled product will not be defective?
Choices:
0.8642
0.8645
0.8628
0.8612
Answer: B
Question: A focus group is currently made up of x men and y women. If 2 men and 4 women are added to the group, and if one person is selected at random from the larger focus group, then what is the probability that a woman is selected?
Choices:
x/(x + y)
(x + 2)/(x + y + 2)
(y + 4)/(x + y + 6)
(x + 2)/(x + y + 6)
Answer: C
Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective.
Choices:
1/117
1/198
1/128
1/126
Answer: D
Question: Two numbers are respectively 35% and 50% more than a third number. The percentage that is first of the second is?
Choices:
90%
38%
52%
83%
Answer: A
Question: Randy can rebuild an automobile engine in a hours. Alvin can rebuild the same engine in b hours. If Randy and Alvin work together at their respective rates to rebuild the engine, which of the following represents the portion of the job that Alvin will not have to complete?
Choices:
(a-b)/(a+b)
b/(b-a)
a/(a+b)
b/(a+b)
Answer: D
Question: Each person who attended a company meeting was either a stockholder in the company, an employee of the company, or both. If 53 percent of those who attended the meeting were stockholders and 63 percent were employees, what percent were stockholders who were not employees?
Choices:
35
36
37
38
Answer: C
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:
29.0 sec
28.9 sec
10.8 sec
12.3 sec
Answer: C
Question: Mixture X contains 60% water and 40% chloride. If 120 gallons of Mixture Y is added to 80 gallons of mixture X in order to produce a solution that contains 75% water and 25% chloride, how many gallons of water must mixture Y contain?
Choices:
101
102
103
104
Answer: B
Question: In a tree, 3/7 of the birds are robins while the rest are bluejays. If 1/3 of the robins are female and 3/5 of the bluejays are female, what fraction of the birds in the tree are male?
Choices:
14/35
18/35
31/70
37/70
Answer: B
Question: What will be the CI on a sum of Rs. 25,000 after 3 years at the rate of 12 per year?
Choices:
Rs. 10110
Rs. 10123.20
Rs. 10135.50
Rs. 10167.20
Answer: B
Question: Two pipes can fill a tank in 18 minutes and 15 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
Choices:
17 minutes
18 minutes
10 minutes
16 minutes
Answer: C
Question: A man started driving at a constant speed, from the site of a blast, the moment he heard the blast. He heard a second blast after a time of 30 mins and 24 seconds. If the second blast occurred exactly 30 mins after the first, how many meters was he from the site when he heard the second blast? ( speed of sound = 330 m/s)
Choices:
7920
9030
10,140
11,250
Answer: A
Question: Find the sum The difference between the compound and S.I. on a certain sum of money for 2 years at 10% per annum is Rs.15of money?
Choices:
1500
2796
2650
3971
Answer: A
Question: 9 friends decided to divide the hotel bill evenly. If the bill was $124.15 dollars, how much money did they pay if 1 cent is the smallest unit?
Choices:
$124.11
$124.13
$124.14
$124.15
Answer: A
Question: When the positive integer y is divided by 5 and 7, the remainder is 3 and 4, respectively. When the positive integer z is divided by 5 and 7, the remainder is 3 and 4, respectively. Which of the following is a factor of y-z?
Choices:
24
35
16
30
Answer: B
Question: In how many different number of ways 1 boys and 3 girls can sit on a bench?
Choices:
730
740
24
800
Answer: C
Question: Lucy deposited $62500 in an investment fund that provided 8 percent annual return compounded quarterly. If she made no other transactions with the fund, in how much time, in months, did her investment earn a total interest of $5100?
Choices:
24
93
63
6.1
Answer: B
Question: How many different pairs of positive integers (a, b) satisfy the equation 1/a+1/b=34/57 ?
Choices:
3
2
1
5
Answer: D
Question: A can complete a project in 20 days while B can complete same project in 30 days. If A and B start working together and A leaves the work 20 days before completion of project, then in how many days the project will be completed?
Choices:
19
20
21
24
Answer: D
Question: What is the distance covered by a train if it travels with a speed of 150 kmh for 8 hours?
Choices:
700 km
800 km
1400 km
1200 km
Answer: D
Question: find the odd man out in the following series
3, 6, 9, 12, 14
Choices:
6
9
12
14
Answer: D
Question: The current birth rate per thousand is 32, where as corresponding death rate is 10 per thousand. The net growth rate in terms of population increase in percent is given by?
Choices:
2.0%
3.9%
4%
5.1%
Answer: A
Question: If the perimeter of a rectangular garden is 600 m, its length when its breadth is 100 m is?
Choices:
247
200
277
121
Answer: B
Question: A man performs 2/15 of total journey by train,9/20 by tonga and the remaining 10 kms on foot. total journey is ?
Choices:
20
24
21
23
Answer: B
Question: How many 7 digit number are there having the digit 3 three times & the digit 5 four times?
Choices:
3^3 * 5^5
77
35
38
Answer: C
Question: A family has two children. find the probability that both the children are boys given that at least
one of them is a boy?
Choices:
1/3
1/7
1/11
1/13
Answer: A
Question: If two distinct positive divisors of 64 are randomly selected, what is the probability that their sum will be less than 32?
Choices:
1/2
5/7
10/21
15/28
Answer: C
Question: 21, 9, 21, 11, 21, 13, 21, ?
Choices:
15
23
25
27
Answer: A
Question: A is thrice as good a workman as B and therefore is able to finish a job in 50 days less than B. working together, they can do it in
Choices:
3/4 days
days
days
days
Answer: A
Question: Find the odd man out. 1, 27, 216, 512, 1024, 1331
Choices:
1024
27
1
1331
Answer: A
Question: In a group of ducks and cows, the total no.of legs are 24 more than twice the no.of heads. Find the total no.of buffaloes.
Choices:
12
14
16
19
Answer: A
Question: 15 business executives and 3 chairmen meet at a conference. If each business executive shakes the hand of every other business executive and every chairman once, and each chairman shakes the hand of each of the business executives but not the other chairmen, how many handshakes would take place?
Choices:
150
115
90
45
Answer: A
Question: (18)7 x (5832)-2 ÷ (324)-1 = (18)7
Choices:
4
3
2
1
Answer: B
Question: A train running at a speed of 36 kmph crosses an electric pole in 12 seconds. In how much time will it cross a 350 m long platform?
Choices:
10 min
15 min
47 min
55 min
Answer: C
Question: How many even number in the range between 8 to 100 inclusive are not divisible by 3
Choices:
30
32
33
46
Answer: B
Question: If x < 0 and 0 < y < 1, which of the following has the greatest value C?
Choices:
(xy)^2
(x/y)^2
x^2/y
x^2*y
Answer: B
Question: If n is a prime number, which of the following could be true
Choices:
n^2/4= is even
n^n/4 = 1^(n-1)
n^2+n^3= n^5
(n)(n^n) = is negative
Answer: B
Question: From a group of 19 astronauts that includes 10 people with previous experience in space flight, a 3-person crew is to be selected so that exactly 1 person in the crew has previous experience in space flight. How many different crews of this type are possible?
Choices:
370
350
360
340
Answer: C
Question: A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Choices:
5 kmph
3 kmph
8 kmph
2 kmph
Answer: C
Question: the sum of series represented as
1/(1*5) + 1/(5*9) + 1/(9*13) +..... + 1/(221*225) is
Choices:
56/221
56/225
54/225
none of these
Answer: B
Question: Before leaving for his business trip, Chad asks his assistant to choose and pack five shirts from his closet, which currently contains eight shirts. If each shirt is a different color, including one blue shirt and one pink shirt, and the assistant chooses the shirts at random, what is the probability that the pink shirt will be one of the shirts packed but the blue shirt will not?
Choices:
3/7
5/14
9/28
15/56
Answer: D
Question: By using the numbers 0, 2, 3, 5 and 4 only once, how many five digit numbers can be made that are divisible by 8?
Choices:
18
48
16
52
Answer: A
Question: Of the following values of n, the value of (-1/7 )^(-n) will be greatest for n =
Choices:
2
0
-2
-3
Answer: A
Question: The average age of A and B is 40 years. If C were to replace A, the average would be 38 and if C were to replace B, the average would be 52. What are the age of A, B and C?
Choices:
40, 20, 26
36, 80, 20
54, 26, 50
None of the above
Answer: C
Question: Steve traveled the first 2 hours of his journey at 55 mph and the remaining 3 hours of his journey at 80 mph. What is his average speed for the entire journey?
Choices:
56.67 mph
70 mph
64 mph
66.67 mph
Answer: B
Question: The sum of ages of 5 children born 2 years different each is 40 years. What is the age of the Elder child?
Choices:
12
10
16
17
Answer: A
Question: What is the difference between the largest and the smallest number written with 7, 7, 0, 7?
Choices:
6993
6093
693
None
Answer: C
Question: If "PROMPT" is coded as QSPLOS ,then "PLAYER" should be
Choices:
DSKUIW
SHOUSA
QMBXDQ
SUISDUH
Answer: C
Question: If a: b = 1:4, b:c = 13:9, c:d = 5:13, find a:d?
Choices:
7/36
1/36
5/36
5/37
Answer: C
Question: The probability that a man will be alive for 10more yrs is 1/4 & the probability that his wife will alive for 10 more yrs is 1/3. The probability that none of them will be alive for 10 more yrs, is
Choices:
1/2
3/5
5/7
7/8
Answer: A
Question: In the following question, a matrix of certain characters is given.These characters follow a certain trend, row-wise or column wise.Find out this trend and choose the missing character accordingly.
Choices:
12
38
37
39
Answer: A
Question: A man swims downstream 36 km and upstream 26 km taking 2 hours each time, what is the speed of the man in still water?
Choices:
18.4
15.5
16.7
13.4
Answer: B
Question: Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.6300. How much third person will get?
Choices:
2429
2980
2707
2800
Answer: D
Question: A local club has between 24 and 57 members. The members of the club can be separated into groups of which all but the final group, which will have 3 members, will have 4 members. The members can also be separated into groups so that all groups but the final group, which will have 3 members, will have 5 members. If the members are separated into as many groups of 6 as possible, how many members will be in the final group? (Source: Bell Curves)
Choices:
5
3
2
1
Answer: D
Question: In a partnership between A, B and C. A's capital is Rs.5000. If his share of a profit of Rs.800 is Rs.200 and C's share is Rs.130, what is B's capital?
Choices:
20982
26882
11750
28812
Answer: C
Question: A cake shop has a surplus of cupcakes and prices them at 15% below the wholesale price of $3. A customer comes in with a coupon for 10% off a dozen cupcakes. How much does that customer pay for a dozen cupcakes?
Choices:
$28.52
$30.60
$27
$27.54
Answer: D
Question: Jill invests $10000 in an account that pays an annual rate of 3.96%, compounding semi-annually. Approximately how much R does she have in her account after two years?
Choices:
R=$10815.83
$12652.61
$14232.14
$20598.11
Answer: A
Question: What is the ratio whose terms differ by 40 and the measure of which is 2⁄7?
Choices:
16 : 56
15 : 56
16 : 72
None of these
Answer: A
Question: A group of boy scouts and girls scouts is going on a rafting trip. 52% of the scouts arrived with signed permission slips. If 40% of the scouts were boy scouts and 62.5% of the boy scouts arrived with signed permission slips, then what percentage of the children were girl scouts who arrived with signed permission slips?
Choices:
27
29
30
31
Answer: A
Question: A and B can together finish a work in 30 days. They worked at it for 20 days and then B let. The remaining work was done by A alone in 20 more days. B alone can do the entire work in
Choices:
50 days
54 days
60 days
67 days
Answer: C
Question: A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. IN what ratio will the profit be shared at the end of 3 years?
Choices:
3:4:7
3:4:5
3:4:1
3:4:2
Answer: A
Question: Three pipes, A, B, & C are attached to a tank. A & B can fill it in 20 & 30 minutes respectively while C can empty it in 15 minutes. If A, B & C are kept open successively for 4 minute each, how soon will the tank be filled?
Choices:
12 hours
3 hours
5 hours
6 hours
Answer: A
Question: A person was asked to state his age in years. His reply was , "Take my age 3 years hence, multiply it by 3 and subtract 3 times my age 3 years ago and you will know how old I am." What was the age of the person ?
Choices:
18
27
26
19
Answer: A
Question: A, B, C enter into a partnership investing Rs. 35,000, Rs. 45,000 and Rs. 55,000 respectively. The respective shares of A, B, C in annual profit of Rs. 40,500 are:
Choices:
Rs. 10,500, Rs. 13,500, Rs. 16,500
Rs. 10,500, Rs. 13,500, Rs. 16,56
Rs. 10,500, Rs. 13,500, Rs. 16,57
Rs. 10,500, Rs. 13,500, Rs. 16,502
Answer: A
Question: A student committee on academic integrity has 90 ways to select a president and vice president from a group of candidates. The same person cannot be both president and vice president. How many candidates are there?
Choices:
8
9
10
11
Answer: C
Question: If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%?
Choices:
8
7
5
4
Answer: A
Question: A, B and C's age is in ratio 2:5:7. Find their ages if the sum of their age is 70 years.
Choices:
10 , 25 and 35
8, 20 and 32
11, 23 and 27
10, 20 and 30
Answer: A
Question: The price of 24 apples is equal to that of 28 oranges. The price of 45 apples and 60 oranges together is Rs.1350. The total price of 30 apples and 40 oranges is
Choices:
900
750
950
800
Answer: A
Question: Two water pumps, working simultaneously at their respective constant rates, took exactly nine hours to fill a certain swimming pool. If the constant rate of one pump was 1.5 times the constant rate of the other, how many hours would it have taken the faster pump to fill the pool if it had worked alone at its constant rate?
Choices:
14
15
16
18
Answer: B
Question: (1/5)^f * (1/4)^18 = 1/(2(10)^35). What is f?
Choices:
18
34
35
36
Answer: C
Question: The average of 17 numbers is 59. Average of the first 9 of them is 56 and that of the last 9 is 63. Find the 9th number?
Choices:
68
65
66
67
Answer: A
Question: A grocer has a sales of Euro 6435, Euro 6927, Euro 6855, Euro 7230 and Euro 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Euro 6500?
Choices:
Euro 4591
Euro 3591
Euro 7791
Euro 4991
Answer: D
Question: The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?
Choices:
18 cm
22 cm
24 cm
25 cm
Answer: A
Question: A room contains 100 people, 20 percent of whom are women. A group of people, 30 percent of whom are women, leaves the room. Of the people remaining in the room, 10 percent are women. How many people left the room?
Choices:
50
30
20
10
Answer: A
Question: Prakash has 3 pairs of shoes; each pair is a different color. If Prakash randomly selects 2 shoes without replacement from the 6 shoes, what is the probability that she will select 2 shoes of the same color?
Choices:
1/5
1/9
1/10
1/25
Answer: A
Question: In an exam, B scored 60 percent, C scored 40 percent and D 59 percent. The maximum score awarded in the exam is 600. Find the average mark scored by all the three candidates?
Choices:
318
320
322
324
Answer: A
Question: Nitin's age was equal to square of some number last year and the following year it would be cube of a number. If again Nitin's age has to be equal to the cube of some number, then for how long he will have to wait?
Choices:
38 years
39 years
64 years
44 years
Answer: A
Question: Akhil purchased 70kg vegetable at Rs. 420, then sold them at the rate of Rs. 6.50 per kg, find the profit percent.
Choices:
8 1/3%
6 1/3%
5 1/3%
4 1/3%
Answer: A
Question: If a, b, c are consecutive positive integers and a<b<c, which of the following must be true?
I. c-a=2
II. -abc is positive integer
III. (a+b+c)/3 is an integer
Choices:
I & III only
I and II
II and III
I, II and III
Answer: A
Question: What is the remainder when 263251 is divided by 9?
Choices:
8
7
1
9
Answer: C
Question: In a village there are 150 men and 90 women in present time.if in next year population will be P=(a^2 +b^2)^1/2 , and in every year men are reduces 5%.what is population of after 2 year.
Choices:
141
142
143
146
Answer: D
Question: On a game show, a contestant is given three keys, each of which opens exactly one of three identical boxes. The first box contains $2, the second $200, and the third $2000. The contestant assigns each key to one of the boxes and wins the amount of money contained in any box that is opened by the key assigned to it. What is the probability that a contestant will win more than $2000?
Choices:
1/8
1/3
1/6
1/2
Answer: C
Question: Given 3^n, for any real integer of n, which of the following is NOT a possible resultant?
Choices:
17,7147
6,561
1,594,332
59,049
Answer: C
Question: A person spent Rs. 8,550 from his salary on food and 8,640 on house rent. After that he was left with 40% of his monthly salary. What is his monthly salary ?
Choices:
28,650
48,650
68,650
18,650
Answer: A
Question: In a class, there are 18 boys who are over 160 cm tall. If these constitute three-fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class ?
Choices:
12
28
27
19
Answer: A
Question: In a class of 35 students, 2 students did not borrow any books from the library, 12 students each borrowed 1 book, 10 students each borrowed 2 books, and the rest borrowed at least 3 books. If the average number of books per student was 2, what is the maximum number of books any single student could have borrowed?
Choices:
5
8
13
15
Answer: B
Question: A car traveled the first quarter of a certain distance at four times the speed it traveled the remaining distance. What proportion of the total time traveled, was the time taken to travel the first quarter of the distance?
Choices:
1/5
1/6
1/7
1/13
Answer: D
Question: Robert purchased $4000 worth of US saving bonds. If bonds are sold in $50 or $100 denominations only, which of the following CANNOT be the number of US saving bonds that Robert purchased?
Choices:
47
50
80
90
Answer: D
Question: Find the perimeter and area of the rectangle of length 11 cm and breadth 9 cm.
Choices:
99 cm2
141 cm2
171 cm2
221 cm2
Answer: A
Question: What is the least number to be added to 1480 to make it a perfect square?
Choices:
160
200
71
120
Answer: D
Question: 8 liters are drawn from a cask full of wine and is then filled with water. This operation is performed three more times . The ratio of the quantity of wine now left in cask to that of the water is 16:65. How much wine did the cask hold originally?
Choices:
24
36
42
56
Answer: A
Question: In an effort to plan out expenses, the Roberts family is representing its annual budget as a circle graph. Each sector of the graph is proportional to the amount of the budget it represents. If “clothes and shoes” takes up 72° of the chart, how much of the Roberts’s $20,000 annual budget is dedicated to clothes and shoes?
Choices:
$3,000
$4,000
$5,000
$5,400
Answer: B
Question: If f is a function defined for all k by f(k) = k^5 /16, what is f(3k) in terms of f(k)?
Choices:
5/8 f(k)
244 f(k)
243 f(k)
323 f(k)
Answer: C
Question: A, B and C enter into a partnership with a capital in which A's contribution is Rs. 10,000. If out of a total profit of Rs. 1000, A gets Rs. 500 and B gets Rs. 300, then C's capital is?
Choices:
4029
4129
4000
4019
Answer: C
Question: Taps A and B can fill a bucket in 12 minutes and 15 minutes respectively. If both are opened and A is closed after 4minutes, how much further time would it take for B to fill the bucket?
Choices:
6 min.
5 min.
3 min.
2 min.
Answer: A
Question: Adam borrowed some money at the rate of 6% p.a. for the first two years, at the rate of 9% p.a. for the next three years, and at the rate of 14% p.a. for the period beyond four years. If he pays a total interest of 11,500 at the end of nine years, how much money did he borrow?
Choices:
12,105
14,105
16,105
None of these
Answer: A
Question: 3 women and a few men participated in a chess tournament. Each player played two matches with each of the other players. If the number of matches that men played among themselves is 78 more than those they played with the women, how many more men than women participated in the tournament?
Choices:
13
11
10
8
Answer: C
Question: Kamal started a business with Rs.25000 and after 4 months, Kiran joined him with Rs.60000. Kamal received Rs.58000 including 10% of profit as commission for managing the business. What amount did Kiran receive?
Choices:
72000
82000
92000
7200
Answer: A
Question: Rs 12200 divided among 5 women, 4 boys and 7 men , such that the share a woman, a boy and a man are in the ratio of 7:3:2. Find the share of a girl?
Choices:
Rs200
Rs300
Rs 2000
Rs 600
Answer: D
Question: The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
10
77
55
22
Answer: A
Question: find two integers, neither of which ends in a zero, and whose product is exactly 100
Choices:
4 and 25
64 and 15,620
64 and 15,635
64 and 16,625
Answer: A
Question: 600 km journey it will take 8hrs, if 120 km is done by bus and the rest by car. It takes 20 minutes more, if 200 km is done by busand the rest by car. The ratio of the speed of the train to that of the cars is?
Choices:
3 : 4
2 : 5
1 : 4
3 : 5
Answer: A
Question: Country X imported approximately $1.44 billion of goods in 1996. If Country X imported $360 million of goods in the first two months of 1997 and continued to import goods at the same rate for the rest of the year, by how much would Country Xs 1997 imports exceed those of 1996?
Choices:
$120 million
$644 million
$540 million
$720 million
Answer: D
Question: Two alloys A and B are composed of two basic elements. The ratios of the compositions of the two basic elements in the two alloys are 5 : 3 and 1 : 5, respectively. A new alloy X is formed by mixing the two alloys A and B in the ratio 4 : 3. What is the ratio of the composition of the two basic elements in alloy X ?
Choices:
3 : 4
5 : 2
4 : 3
7 : 9
Answer: A
Question: A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 38 years now, the son's age five years back was:
Choices:
14 years
25 years
12 years
11 years
Answer: A
Question: You choose at random ten points inside of a circle, so that no two of them are
on any diameter. What is the probability that the circle has some diameter, so that exactly
five points are on one side and exactly five points are on the other?
Choices:
1/2
2/3
5/6
1
Answer: D
Question: The first train leaves the station at 7:00 am with a speed of 60 km/hr. The second train leaves at 8:30 am, in the same direction from the same station, with a speed of 80 km/hr. What time will the second train catch the first train?
Choices:
12:00 noon
1:00 pm
2:00 pm
3:00 pm
Answer: B
Question: John found that the average of 15 numbers is 40. If 13 is added to each number then the mean of number is?
Choices:
53
65
78
64
Answer: A
Question: Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:
Choices:
1:2
7:9
5:11
4:5
Answer: D
Question: When 6 is added to half of one-third of one-fifth of a number, the result is one-fifteenth of the number. Find the number?
Choices:
180
60
27
11
Answer: A
Question: How many times will the digit 5 be written when listing the integers from 1 to 1000?
Choices:
300
180
415
264
Answer: A
Question: Mary's income is 70 percent more than Tim's income, and Tim's income is 40 percent less than Juan's income. What percent of Juan's income is Mary's income?
Choices:
102%
96%
80%
64%
Answer: A
Question: In 1995 a certain store had ,2000 tools in stock that had been purchased for $30 each. If 1,000 of these tools were sold in 1995 for $40 each and the remaining 800 were sold in 1996 for $50 each, how many greater was the gross profit on the tools sold in 1996 than the gross profit on those sold in 1995?
Choices:
$6,000
$8,000
$32,000
$10,000
Answer: D
Question: In how many different ways can the letters of the word 'SCHOOL' be arranged so that the vowels always come together?
Choices:
120
145
150
160
Answer: A
Question: Two vessels A and B contain 62.5% and 87.5% of alcohol respectively. If 2 litres from vessel A is mixed with 4 litres from vessel B , the ratio of alcohol and water in the resulting mixture is?
Choices:
19:5
27:2
21:5
11:1
Answer: A
Question: In a class of 150 students 55 speak English;85 speak Telugu and 30 speak neither English nor Telugu
How many speak both English and Telugu?
Choices:
20
30
40
50
Answer: A
Question: A total of 5 liters of gasoline is to be poured into two empty containers with capacities of 2 liters and 6 liters, respectively, such that both containers will be filled to the same percent of their respective capacities. What amount of gasoline, in liters, must be poured into the 6-liter container?
Choices:
4
3 3/4
3
1 1.4
Answer: B
Question: One hour after Yolanda started walking from X to Y, a distance of 31 miles, Bob started walking along the same road from Y to X. If Yolanda's walking rate was 3 miles per hour and Bobт's was 4 miles per hour, how many miles had Bob walked when they met?
Choices:
23
22
21
16
Answer: D
Question: There are some passengers riding on a bus. At the first stop, half the passengers get off and nobody gets on the bus. This pattern continues as the bus goes to the next stops. If only one passenger gets off at stop number 5, how many passengers were on the bus originally?
Choices:
64
32
16
8
Answer: B
Question: A can do a work in 15 days and B in 20 days. If they work on it together for 7 days, then the fraction of the work that is left is
Choices:
7/15
3/15
8/15
11/60
Answer: D
Question: On Monday, a certain animal shelter housed 70 cats and dogs. By Friday, 1/5 of the cats and 1/4 of the dogs had been adopted; no new cats or dogs were brought to the shelter during this period. What is the greatest possible number of pets that could have been adopted from the animal shelter between Monday and Friday?
Choices:
15
17
19
21
Answer: B
Question: A circle graph shows how the budget of a certain company was spent: 60 percent for salaries, 9 percent for research and development, 5 percent for utilities, 4 percent for equipment, 2 percent for supplies, and the remainder for transportation. If the area of each sector of the graph is proportional to the percent of the budget it represents, how many degrees of the circle are used to represent transportation?
Choices:
36°
54°
72°
90°
Answer: C
Question: A sum of Rs. 4000 amounts to Rs. 4600 in 5 years at a certain rate of simple interest. What would be the amount, if the rate of interest is increased by 3 %.
Choices:
Rs. 5000
Rs. 5200
Rs. 5600
None of these
Answer: B
Question: The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
Choices:
140 sq.units
187 sq.units
607 sq.units
815 sq.units
Answer: A
Question: In an election only two candidates contested. A candidate secured 70% of the valid votes and won by a majority of 176 votes. Find the total number of valid votes?
Choices:
440
480
520
550
Answer: A
Question: With # andeach representing different digits in the problem below, the difference between #and ## is 445. What is the value of?
#
-##
____
445
E
Choices:
8
9
6
5
Answer: D
Question: If the length of a certain rectangle is decreased by 4 cm and the width is increased by 3 cm, a square with the same area as the original rectangle would result. Find the perimeter of the original rectangle.
Choices:
50 cm
60 cm
30 cm
40 cm
Answer: A
Question: Goldenrod and No Hope are in a horse race with 6 contestants. How many different arrangements of finishes are there if No Hope always finishes before Goldenrod and if all of the horses finish the race?
Choices:
360
120
24
21
Answer: A
Question: If n is a positive integer and n^2 is divisible by 50, then what is the largest positive integer that must divide n?
Choices:
8
10
20
25
Answer: B
Question: Raju age after 35 years will be 5 times his age 5 years back, What is the present age of Raju
Choices:
17
15
77
66
Answer: B
Question: What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30 ?
Choices:
630
2524
1680
2250
Answer: A
Question: In the xy-coordinate system, line k passes through points (-4m, 0) and (0, 2m). Which of the following is a possible equation of line k?
Choices:
y = 1/2*x - 4m
y = 2x + 2m
y = 1/2*x + 2m
y = -1/2*x - 5m
Answer: C
Question: What is the units digit of 13^4*17^2*29^3?
Choices:
7
5
3
1
Answer: D
Question: Find the invalid no.from the following series 15, 16, 34, 105, 424, 2124, 12756
Choices:
1435
1540
1600
2124
Answer: D
Question: A boy was asked to multiply a number by 25. He instead multiplied the next number by 52 and got the answers 324 more than the correct answer. The number to be multiplied was
Choices:
12
15
25
14
Answer: A
Question: Today is Sunday. A person wants to meet a lawyer and as that lawyer is busy he asks him to come three days after the before day of the day after tomorrow? On which day the lawyer asks the person to come?
Choices:
MONDAY
TUESDAY
WEDNESDAY
Thursday
Answer: D
Question: The number x yields a remainder p when divided by 13 and a remainder q when divided by 7. If p = q + 7, then which one of the following could be the value of x ?
Choices:
36
72
85
100
Answer: A
Question: The daytime telephone rate between two cities is 60 cents for the first 3 minutes and c cents for each additional minute. The total charge is reduced 60 percent on calls made after 10:00 P.M. The cost, in dollars, of a 33-minute call made at 10:30 P.M. between these two cities is:
Choices:
0.4(0.60 + 9c)
0.4(0.60 + 0.30c)
0.6(0.60 + 30c)
0.6(0.60 + 0.35c)
Answer: B