antoine-444/aqua_rat_dataset huggingface dataset:
Question: If n = 8^8 – 8, what is the units digit of n?
Choices:
1
8
2
4
Answer: B
Question: By mixing two qualities of pulses in the ratio 2: 3 and selling the mixture at the rate of Rs 22 per kilogram, a shopkeeper makes a profit of 10 %. If the cost of the smaller quantity be Rs 14 per kg, the cost per kg of the larger quantity is:
Choices:
88
24
77
21
Answer: B
Question: In a stream running at 2kmph,a motor boat goes 6km upstream and back again to the starting point in 33 minutes.find the speed of the motorboat in still water.
Choices:
22
26
28
None of them
Answer: A
Question: Four years ago,the father’s age was three times the age of his son.The total of the ages of the father and the son after four years,will be 64 years.What is the father’s age at present ?
Choices:
36 years
44 years
None of these
49 years
Answer: C
Question: In a certain game, you pick a card from a standard deck of 52 cards. If the card is a spade, you win. If the card is not a spade, the person replaces the card to the deck, reshuffles, and draws again. The person keeps repeating that process until he picks a spade, and the point is to measure how many draws did it take before the person picked a spade and won. What is the probability that there will be at least four draws involved in a win, i.e. someone picking her first spade on the fourth draw or later?
Choices:
9/16
27/64
13/16
15/16
Answer: B
Question: The population of a town is 15000. It decreases annually at the rate of 20% p.a. What will be its population after 2 years?
Choices:
4500
5120
9600
5366
Answer: C
Question: Virat buys an old car for Rs. 50000 and spends Rs. 6000 on its repairs. If he sells the scooter for Rs. 70000, his gain percent is:
Choices:
25%
12 (2/3) %
12%
None of these
Answer: A
Question: A pipe can fill a cistern in 88 minutes. Find the time in which 1/11 part of the cistern will be filled?
Choices:
2min
8min
1min
10min
Answer: B
Question: A grocer has a sale of Rs. 5420, Rs. 5660, Rs. 6200, Rs. 6350 and Rs. 6500 for 5 consecutive months. Find the sale he should have in the sixth month, so that he gets an average sale of Rs. 6000?
Choices:
Rs. 5872
Rs. 5871
Rs. 5870
Rs. 5876
Answer: C
Question: John has on his shelf four books of poetry, four novels, and two reference works. Suppose from these ten books, we were to pick two books at random. What is the probability that we pick one novel and one reference work?
Choices:
2/5
3/10
7/20
8/45
Answer: D
Question: How many seconds will a 800 meter long train moving with a speed of 63 km/hr take to cross a man walking with a speed of 3 km/hr in the direction of the train ?
Choices:
48
38
42
45
Answer: A
Question: City A's population is 68000, decreasing at a rate of 80 people per year. City B having population 42000 is increasing at a rate of 120 people per year. In how many years both the cities will have same population?
Choices:
130years
150years
160years
170years
Answer: A
Question: Alex deposited x dollars into a new account that earned 7 percent annual interest, compounded annually. One year later Alex deposited an additional x dollars into the account. If there were no other transactions and if the account contained w dollars at the end of two years, which of the following expresses x in terms of w ?
Choices:
w/(1.08+1.16)
w/(1.16+1.24)
w/(1.07+1.07^2)
w/(1.08^2+1.08^2)
Answer: C
Question: For each 6-month period during a light bulb's life span, the odds of it not burning out from over-use are half what they were in the previous 6-month period. If the odds of a light bulb burning out during the first 6-month period following its purchase are 1/5, what are the odds of it burning out during the period from 6months to 1 year following its purchase?
Choices:
2/9
1/2
4/9
2/3
Answer: B
Question: Arrange the following in a logical order:
1. Birth
2. College
3. Marriage
4. School
5. Employment
Choices:
1, 4, 2, 5, 3
2, 5, 3, 1, 4
2, 4, 1, 5, 3
None of these
Answer: A
Question: A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is
Choices:
25/42
25/46
25/40
25/41
Answer: A
Question: The average of seven numbers is 55. If one number is excluded, the average becomes 52. The excluded number is:
Choices:
57
70
73
74
Answer: C
Question: Two cylinders are of the same height. Their radii are in the ratio 1: 3. If the volume of the first cylinder is 40 cc. Find the volume of the second cylinder?
Choices:
360
279
270
289
Answer: A
Question: a, b, c are integers. |a| ≠ |b| ≠ |c| and -10 ≤ a, b, c ≤ 10. What will be the maximum possible value of [abc – (a+b+c)]?
Choices:
693
731is answer
970
None of the above
Answer: B
Question: For how many values of Q, is |||Q - 5| -10| -5| = 2?
(Those ls are mods)
Choices:
2
4
8
More than 8
Answer: C
Question: It takes Avery 3 hours to build a brick wall while Tom can do it in 3 hours. If the two start working together and after an hour Avery leaves, how much time will it take Tom to complete the wall on his own?
Choices:
60
30
40
50
Answer: A
Question: If n + 11 is a positive odd integer, which of the following must be true about the sum of the next four integers?
Choices:
It is a multiple of 4
It is a prime number
It is a multiple of 2
It is a multiple of 5
Answer: C
Question: A sum of money becomes double itself in 8 years at simple interest. How many times will it become 10 years at the same rate?
Choices:
2 1/4
2 1/8
2 9/4
2 1/4
Answer: A
Question: If 213 × 16 = 3408, then 1.6 × 21.3 is equal to :
Choices:
3.408
34.08
340.8
None of these
Answer: B
Question: Mary is about as many days as John in weeks, and Mary is as many months as Robert in years. Mary, John and Robert together are 144 years. Can you tell me Robert’s age in years?
Choices:
86 years
108 years
96 years
84 years
Answer: A
Question: A, B and C invest in the ratio of 3 : 4: 5. The percentage of return on their investments are in the ratio of 6 : 5 : 4. Find the total earnings, If B earns Rs. 100 more than A :
Choices:
2900
2767
1998
2771
Answer: A
Question: A box contains 4 red, 3 white and 2 blue balls. Three balls are drawn at random. Find out the number of ways of selecting the balls of different colours?
Choices:
48
12
24
None of these
Answer: C
Question: For what value of x will the function f(x) = -3(x - 10)(x - 4) have a maximum value? Find the maximum value.
Choices:
37
57
27
47
Answer: C
Question: The odds against ram solving the problem are 4 to 3 and the odds in favour of krishna solving the same are 6 to 5. What is the chance that it will be solved when they both try?
Choices:
5/21
16/21
23/28
57/77
Answer: D
Question: A jogger running at 9 km/hr along side a railway track is 200 m ahead of the engine of a 200 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
Choices:
20
40
88
34
Answer: B
Question: The ‘moving walkway’ is a 300-foot long walkway consisting of a conveyor belt that moves continuously at 3 feet per second. When Bill steps on the walkway, a group of people that are also on the walkway stands 120 feet in front of him. He walks toward the group at a rate of 3 feet per second. Once Bill reaches the group of people, he stops walking and stands with them until the walkway ends. What is Bill’s average rate R of movement for his trip along the moving walkway?
Choices:
2.5 feet per second
3 feet per second
4 feet per second
5 feet per second
Answer: D
Question: If x is a positive integer, which of the following could NOT be the square of x?
Choices:
5,004,169
4,999,696
4,995,225
4,990,752
Answer: D
Question: The product of two successive numbers is 4556. Which of the following is the larger of the two numbers?
Choices:
68
78
87
66
Answer: A
Question: If x^2 + 1/x^2 = 2,what is the value of x^4 + 1/x^4 ?
Choices:
2
4
16
18
Answer: A
Question: If (5)(x^2) has three different prime factors, at most how many different prime factors does x have?
Choices:
2
3
4
5
Answer: B
Question: A palindrome is a number that reads the same forward and backward, such as 242. How many even five-digit numbers are palindromes?
Choices:
400
500
5,000
100,000
Answer: A
Question: At a loading dock, each worker on the night crew loaded 3/4 as many boxes as each worker on the day crew. If the night crew has 1/2 as many workers as the day crew, what fraction of all the boxes loaded by the two crews did the day crew load?
Choices:
2/5
8/11
4/5
5/8
Answer: B
Question: If 7/6 of a pencil is purple, 4/3 of the remaining is black and the remaining 1/2 is blue, what is the total length of the pencil?
Choices:
3
1
4
2
Answer: A
Question: Given 2 integers a and b, if a is negative and b is positive, which of the following options must be positive?
Choices:
a/b
4a/b
(a + b)^4
2ab
Answer: C
Question: Sn = n^2 + 5n + 94 and K = S6 – S5 + S4 + S3 + S2 – S1. What is the value of K?
Choices:
50
45
272
36
Answer: C
Question: Find the invalid no.from the following series 15 46 63 71 75 77 78
Choices:
37
46
54
58
Answer: B
Question: The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 15%, then the cost price of the article is:
Choices:
334
555
536
5598
Answer: C
Question: A bag is filled with pennies and nickels in the ratio of 5 to 3. There are 30 nickles in the bag, how many coins are there in that bag?
Choices:
50
65
70
80
Answer: D
Question: James just found out that has to work a 12 hour shift on Christmas Day, from 3pm until 3am. Since that day is a national holiday, he will get paid 2 times his normal hourly rate for the entire shift. Additionally, the state he lives in has a law that requires an overtime rate, equal to 1.5 times the shift's hourly rate, for every hour over 8 hours in one day. Finally, he will get paid a "night premium" of 20% above the shift's hourly rate for any time worked after 10pm. James' regular rate is $16 per hour. Assuming he works his full shift as scheduled, how much money will James make (before taxes) on Christmas day?
Choices:
$576.00
$432.00
$492.80
$518.40
Answer: C
Question: Shop Offered 25% offer for every Shirt, Smith bought a shirt at Rs. 560. and What was the shop's original selling Price?
Choices:
550
746
700
750
Answer: B
Question: When positive integer N is divided by positive integer J, the remainder is 14. If N/J = 134.05, what is value of J?
Choices:
56
280
112
175
Answer: B
Question: A, B, K start from the same place and travel in the same direction at speeds of 30km/hr, 40km/hr, 60km/hr respectively. B starts four hours after A. If B and K overtake A at the same instant, how many hours after A did K start?
Choices:
4.5
8
d) 5.5
e) 5
Answer: B
Question: Find the compound interest and the amount on Rs.3000 at 5% per annum for 3 years when C.I is reckoned yearly?
Choices:
s.440.88
s.472.88
s.346.88
s.446.88
Answer: B
Question: How many three-digit numbers are there, if the two leftmost digits are even, the other digits are odd and the digit 4 cannot appear more than once in the number.
Choices:
85
95
100
105
Answer: A
Question: A fence consists of m lengths of fence that are each n feet long. A fence post separates each length of fence by its width of x feet. What is the total length W of the fence including the fence posts on each end?
Choices:
m(n + x)
W=m(n + x) + x
m(n + x) + 2x
2mn
Answer: B
Question: If n denotes a number to the left of 0 on the number line such that the square of n is less than 1/25, then the reciprocal of n must be
Choices:
Less than -5
Between -1/5 and 0
Between 0 and 1/5
Greater than 5
Answer: A
Question: A rainstorm increased the amount of water stored in State J reservoirs from 130 billion gallons to 160 billion gallons. If the storm increased the amount of water in the reservoirs to 80 percent of total capacity, approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm?
Choices:
70
65
85
90
Answer: A
Question: In a office work is distribute between p persons. If 1/7 members are absent then work increased for each person is?
Choices:
14.67%
15.67%
16.67%
17.67%
Answer: C
Question: Two persons start running simultaneously around a circular track of length 500 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
Choices:
10
28
45
12
Answer: C
Question: A certain telescope increases the visual range at a particular location from 80 kilometers to 150 kilometers. By what percent is the visual range increased by using the telescope ?
Choices:
33 1/2%
40%
60%
87.5%
Answer: D
Question: The volumes of two cones are in the ratio 1 : 20 and the radii of the cones are in the ratio of 1 : 5. What is the length of the wire?
Choices:
A)5:4
C)2:2
D)2:1
E)2:9
Answer: A
Question: A printer numbers the pages of a book starting with 1 and uses 3189 digits in all. How many pages does the book have ?
Choices:
1074
1075
1080
1089
Answer: A
Question: The Shopkeeper increased the price of a product by 25% so that customer finds it difficult to purchase the required amount. But somehow the customer managed to purchase only 70% of the required amount. What is the net difference in the expenditure on that product?
Choices:
12.5%
13%
14%
14.5%
Answer: A
Question: What is cost price of an article sold by a trader at 15% loss, given that the trader would have made a profit of 6% if he had sold it for $30 more?
Choices:
$436.19
$476.19
$470.19
$276.19
Answer: B
Question: Mangala completes a piece of work in 20 days, Raju completes the same work in 30 days. If both of them work together, then the number of days required to complete the work is?
Choices:
12 days
14 days
16 days
18 days
Answer: A
Question: If the terms of a series are either2or24and the sum of all the terms F of the series is 124, then which of the following could be the number of2sin the series?
Choices:
26
35
40
48
Answer: A
Question: The average weight of a class of 24 students is 35 kg. If the weight of the teacher be included, the average rises by 400 g. The weight of the teacher is
Choices:
45
55
60
65
Answer: A
Question: In the rectangular coordinate system, if the line x = 4y + 5 passes through points (m,n) and (m + 2,n + p), what is the value of p?
Choices:
2
1/2
1/3
1/4
Answer: B
Question: One out of every 500 light bulbs are defected. If 2 out of every 10 defected light bulbs have a broken glass and there are 14 broken glass light bulbs in the shipment, how many light bulbs total are there in the shipment?
Choices:
5,000
10,000
35,000
52,000
Answer: C
Question: Annie will be half as old as Larry in 3 years. Annie will also be one-third as old as Jerome in 5 years. If Jerome is 10 years older than Larry, how old is Annie?
Choices:
3
19
26
34
Answer: A
Question: A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Choices:
350 m
267 m
287 m
656 m
Answer: A
Question: A watch passes through three hands and each gains 25%. If the 3rd sells it for Rs250, what did the 1st pay for it?
Choices:
110
128
134
156
Answer: B
Question: The mean proportional between 4 and 16 is?
Choices:
13
14
15
16
Answer: D
Question: In a survey of political preferences, 78% of those asked were in favour of at least one of the proposals: I, II and III. 50% of those asked favoured proposal I, 30% favoured proposal II, and 20% favoured proposal III. If 5% of those asked favoured all three of the proposals, what X percentage of those asked favoured more than one of the 3 proposals.
Choices:
12
17
22
30
Answer: B
Question: The sum and the product of two numbers are 25 and 144 respectively, the difference of the number is?
Choices:
5
7
11
13
Answer: B
Question: Max owns 200 shares of stock A and 180 of stock b. Last month the stocks had gained and lost the amounts shown below. What was Max's net gain or loss for the month?
Stock Gain/Loss
A 200 -18
B 180 40
Choices:
3600
7200
10800
438
Answer: A
Question: A can run 4.5 km distance in 1 min 30 seconds, while B can run this distance in 3 min. By how much distance can A beat B?
Choices:
2250 m
1250 m
1800 m
2000 m
Answer: A
Question: Which of the following equations describes a line that is perpendicular to y=x+4?
Choices:
y = −2 − x
y = 4x
y = 4x+1
y = 1/x + 4
Answer: A
Question: The ratio of ages of Aman, Bren, and Charlie are in the ratio 5:8:7 respectively. If 5 years ago, the sum of their ages was 75, what will be the age of Aman 10 years from now?
Choices:
25
27
35
40
Answer: A
Question: A man borrowed Rs.10000 from a lender at 9% p.a rate of interest. Find the amount to be paid by the man after 2years 6months?
Choices:
Rs 12050
Rs 12250
Rs 13000
Rs 14550
Answer: B
Question: The amount of water (in ml) that should be added to reduce 18 ml. Lotion, containing 50% alcohol, to a lotion containing 30% alcohol, is?
Choices:
5 ml
4 ml
6 ml
12 ml
Answer: D
Question: Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is ?
Choices:
5/12
1/98
2/08
3/76
Answer: A
Question: A dealer purchases 15 articles for Rs. 25 and sells 12 articles for Rs. 35. Find the profit percentage?
Choices:
50%
75%
40%
53%
Answer: B
Question: If Tim had lunch at $50.50 and he gave 10% tip, how much did he spend?
Choices:
B)$35.42
C)$60.60
D)$55.55
E)$78.45
Answer: C
Question: Two pipes can fill a tank in 15 hours and 30 hours. While the 3rd pipe empties the full tank in 45hours. If all the 3 pipes are open in how much time will the tank be filled?
Choices:
88/12
75/16
90/11
57/10
Answer: C
Question: Cara and Dan drive at constant speeds toward each other on a highway. Cara drives at a constant speed of 32 km per hour. At a certain time they pass by each other, and then keep driving away from each other, maintaining their constant speeds. If Cara is 110 km away from Dan at 7 am, and also 110 km away from Dan at 11 am, then how fast is Dan driving (in kilometers per hour)?
Choices:
23
26
29
32
Answer: A
Question: Alice, Benjamin, and Carol each try independently to win a carnival game. If their individual probabilities for success are 1/5, 3/8, and 2/7, respectively, what is the probability that exactly two of the three players will win but one will lose?
Choices:
1/28
3/56
3/35
7/40
Answer: D
Question: Of the 3,600 employees of Company X, 16/25 are clerical. If the clerical staff were to be reduced by 1/4, what percent of the total number of the remaining employees would then be clerical?
Choices:
57%
20%
12.5%
11.1%
Answer: A
Question: What is the probability of getting at least one six in a single throw of three unbiased dice ?
Choices:
91/216
125/216
81/216
81/359
Answer: A
Question: An advertising agency finds that, of its 180 clients, 115 use Television, 110 use Radio and 130 use Magazines. Also, 85 use Television and Magazines, 75 use Television and Radio, 95 use Radio and Magazines. How many use all the three?
Choices:
70
90
98
80
Answer: D
Question: 30 is subtracted from 40% of a number, the result is 50. Find the number?
Choices:
200
266
288
271
Answer: A
Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good.
Choices:
127/125
125/126
126/125
126/127
Answer: B
Question: A retailer bought a machine at a wholesale price of $99 and later on sold it after a 10% discount of the retail price. If the retailer made a profit equivalent to 20% of the whole price, what is the retail price of the machine?
Choices:
100
120
132
160
Answer: C
Question: Eddy and Freddy start simultaneously from city A and they travel to City B and City C respectively. Eddy takes 3 hours and Freddy takes 4 hours to complete the journey. If the distance between City A and City B is 540 kms and City A and City C is 300 kms. What is the ratio of their average speed of travel? (Eddy: Freddy)
Choices:
3/8
8/5
12/5
5/3
Answer: C
Question: A group of 10 representatives is to be selected out of 16 seniors and 10 juniors. In how many different ways can the group be selected, if it should have 5 seniors and 5 juniors?
Choices:
16C₇ * 10
16C11 * ¹⁰C₅
12 * ¹⁰C₅
None of these
Answer: B
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
3:4:0
3:4:2
3:4:1
Answer: A
Question: The difference between the place value and the face value of 6 in the numerical 856973 is
Choices:
6973
5994
9554
None of them
Answer: B
Question: In how many ways can Ann, Bob, Chuck, Don and Ed be seated in a row such that Ann and Bob are not seated next to each other?
Choices:
48
56
72 ways
96
Answer: C
Question: A car is running at a speed of 90kmph. What distance will it cover in 10sec?
Choices:
150m
180m
200m
250m
Answer: D
Question: The difference of two numbers is 11 and one-fifth of their sum is 9. Find the numbers.
Choices:
28 and 17
25 and 15
27 and 15
25 and 18
Answer: A
Question: Which of the following Equation is NOT equivalent to 25x^2 = y^2 - 9?Which of the following Equation is NOT equivalent to 25x^2 = y^2 - 4?
Choices:
75x^2 = 3y^2 - 12
25x^2 = (y + 2)(y - 2)
5x = y - 2
5x = y - 3
Answer: D
Question: Find out the C.I on Rs.5000 at 4% p.a. compound half-yearly for 1 1/2 year?
Choices:
306.02
306.04
306.09
306.12
Answer: B
Question: The angles of a triangle are in the ratio 1 : 2 :3 . Find the measurement of the 3angles of triangle.
Choices:
110°
60°
180°
190°
Answer: B
Question: A circle is circumscribed around a quadrilateral, and the quadrilateral is ABCD, What is the value of arc BDA when angle A is 35 degrees?
Choices:
240
270
290
360
Answer: C
Question: A real estate agent received a 6% commission on the selling price of a house. If his commission was $8,880, what was the selling price of the house?
Choices:
$148,000
$156,000
$175,000
$144,000
Answer: A
Question: Find out the number of ways in which 6 rings of different types can be worn in 3 fingers?
Choices:
124
525
343
729
Answer: D
Question: A walks at 30 kmph and 30 hours after his start, B cycles after him at 48 kmph. How far from the start does B catch up with A?
Choices:
1500km
2000km
2400km
3600km
Answer: C
Question: What is the value of x^2yz − xyz^2, if x = -1, y = 1, and z = 3?
Choices:
24
30
12
48
Answer: C
Question: 3 friends A, B, C went for week end party to McDonald’s restaurant and there they measure there weights in some order In 7 rounds. A, B, C, AB, BC, AC, ABC. Final round measure is 170kg then find the average weight of all the 7 rounds?
Choices:
97.1 kgs
86.5 kgs
67.5 kgs
88.2 kgs
Answer: A
Question: If the mean of numbers 12, x, 42, 78 and 104 is 62, then what is the mean of 128, 255, 511, 1023 and x?
Choices:
275
355
415
398.2
Answer: D
Question: A vessel contains a mixture of two milk M and N is the ratio 7 : 5. When 9 ltr of mixture are drawn off and the vessel is filled with B, the ratio of Mand N becomes 7 : 9. How many ltrof liquid M was contained by the can initially?
Choices:
21ltr
23ltr
24ltr
25ltr
Answer: A
Question: Tom and Beth each drove from Smallville to Crown City by different routes. Tom drove an an average speed of 40 miles per hour and completed the trip in 30 minutes. Beth's route was 5 miles longer, and it took her 20 minutes more than Tom to complete the trip. How many miles per hour was Beth's average speed on this trip?
Choices:
30
48
54
75
Answer: A
Question: A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of man is
Choices:
60 kg
72 kg
96 kg
None
Answer: A
Question: The ration between the present ages of P and Q is 1:2. If Q is 8 years older than P, what will be the ratio of the ages of P and Q after 8 years?
Choices:
1:3
2:3
5:7
4:9
Answer: B
Question: The sum of three numbers is 98. If the ratio between first and second be 2 : 3 and that between second and third be 5 : 8, then the second number is?
Choices:
30
58
48
68
Answer: A
Question: The last time Parag bought Diwali cards, he found that the four types of cards that he liked were priced Rs.2.50, Rs.3.50, Rs.3.00 and Rs.5.00 each. As Rahul wanted 50 cards, he took ten each of two kinds and fifteen each of the other two, putting down the exact number of 10 rupees notes on the counter payment. How many notes did paragl give?
Choices:
12
15
11
18
Answer: D
Question: The cost to rent a small bus for a trip is x dollars, which is to be shared equally among the people taking the trip. If 10 people take the trip rather than 30, how many more dollars, in terms of x, will it cost per person?
Choices:
x/12
x/15
3x/40
3x/80
Answer: B
Question: In a series of three football matches between Germany and Argentina , the probability of Germany winning a match is 1/3 and the probability that the match ends in a draw is 1/4. If a win gets the team 2 points, a draw 1 point and a loss 0 Points, What is the probability that Germany will end up in 3 draws in the series?
Choices:
125/864
1/25
1/64
1/5
Answer: C
Question: A sales executive receives an annual bonus if he meets a certain target. This year, the salesman has so far sold 1/4 of last year's quota. If this year's quota is reduced by 20 percent from last year, how much target percentage of this year's target does he still need to complete to get bonus?
Choices:
15/25
3/4
15/20
9/10
Answer: A
Question: The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is :
Choices:
378
377
400
288
Answer: C
Question: In a deck of cards there are 52 cards numbered from 1 to 13. There are 4 cards of each number in the deck. If you insert 12 more cards with the number 10 on them and you shuffle the deck really good, what is the probability to pull out a card with a number 10 on it?
Choices:
1/4.
5/29
4/13
1/3
Answer: A
Question: Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 12 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
Choices:
396
279
276
291
Answer: A
Question: Look at this series: 0.6, 0.3, ____, 0.075, 0.0375, ... What number should fill the blank?
Choices:
1.15
0.15
0.25
0.35
Answer: B
Question: A tap can fill a tank in 6 hours. After half the tank is filled, two more similar taps are opened. What is the total time taken to fill the tank completely?
Choices:
2 hr
3 hr
4 hr
5 hr 50 min
Answer: C
Question: Find out the C.I on Rs.2000 at 4% p.a. compound half-yearly for 1 1/2 years.
Choices:
B)Rs.319.06
C)Rs.306.04
D)Rs.294.75
E)Rs.295.75
Answer: B
Question: Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 31 kmph. Of how many minutes does the train stop per hour?
Choices:
18.6
12
121
28
Answer: A
Question: A small beaker is 1/2 filled with salt water. Another beaker, which has five times the capacity of the small beaker, is 1/3 filled with fresh water. After dumping all of the salt water from the small beaker into the large beaker, to what fraction of its capacity will the large beaker be filled?
Choices:
11/20
13/30
17/30
19/30
Answer: B
Question: A man walks at a speed of 4 km/hr and runs at a speed of 7 km/hr. How much time will the man require to cover a distance of 10 1/2 km, if he completes half of the distance, i.e., (5 1/4) km on foot and the other half by running?
Choices:
2 hours
2 1/6 hours
2 1/1 hours
2 1/2 hours
Answer: A
Question: Given that E and F are events such that P(E) = 0.16, P(F) = 0.4 and P(E n F) = 0.4,
find P (E|F) and P(F|E)
Choices:
1/4
1/7
2/5
2/9
Answer: A
Question: A group of 6 members to be made from 8 boys and 6 girls. How many ways of forming group provided that there will be exactly 3 boys?
Choices:
1120
1130
1140
1150
Answer: A
Question: A certain no. when divided by 80 leaves a remainder 25, what is the remainder if the same no.be divided by 15?
Choices:
4
7
8
9
Answer: B
Question: Seats for Maths, Physics and Biology are in the ratio of 9 : 7 : 8 respectively. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the respective ratio of increased seats?
Choices:
18 : 15 : 20
6 : 8 : 9
Cannot be determined
None of these
Answer: A
Question: An urn contains 5 black and 3 white balls. Two balls are drawn from the urn one after the other
without replacement. What is the probability that both drawn balls are black?
Choices:
3/7
2/5
5/14
2/7
Answer: C
Question: John has 12 clients and he wants to use color coding to identify each client. If either a single color or a pair of two different colors can represent a client code, what is the minimum number of colors needed for the coding? Assume that changing the color order within a pair does not produce different codes.
Choices:
12
7
6
5
Answer: D
Question: A wolf eats 5 Kg of meat in 2 days. A baby tiger eats 3 Kg of meat in 4 days. How much meat can the two combined eat in three days?
Choices:
9.75
8.25
7.15
6.0
Answer: A
Question: In how many ways can a team of 5 be chosen out of a batch of 8 players?
Choices:
56
32
50
61
Answer: A
Question: All factors of a positive integer X are multiplied and the product obtained is X^3. If X is greater than 1, how many factors does X have?
Choices:
3
4
5
6
Answer: D
Question: The length of rectangle is thrice its breadth and its perimeter is 96 m, find the area of the rectangle?
Choices:
432
269
2656
290
Answer: A
Question: The scoring system in a certain football competition goes as follows: 3 points for victory, 1 point for a draw, and 0 points for defeat. Each team plays 20 matches. If a team scored 12 points after 5 games, what is the least number of the remaining matches it has to win to reach the 40-point mark by the end of the tournament?
Choices:
7
8
9
10
Answer: A
Question: 5, 11, 17, 25, 33, 43, ?
Choices:
26
58
59
53
Answer: D
Question: A letter lock consists of three rings each marked with thirteen different letters. The number of distinct unsuccessful attempts to open the lock is at the most ?
Choices:
2196
2153
1683
1673
Answer: A
Question: Victor gets 95 % marks in examinations. If these are 285 marks, find the maximum marks.
Choices:
500
376
288
300
Answer: D
Question: Which number is the odd one out ?
9654 4832 5945 7642 7963 8216 3669
Choices:
3669
5945
7963
8216
Answer: A
Question: There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:
Choices:
80
100
200
250
Answer: B
Question: The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 5 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
Choices:
Rs.4518
Rs.4518
Rs.4530
Rs.4517
Answer: C
Question: Uncle Bruce is baking chocolate chip cookies. He has 40 ounces of dough (with no chocolate) and 20 ounces of chocolate. How much chocolate is left over if he uses all the dough but only wants the cookies to consist of 25% chocolate?
Choices:
9.5
10.5
6.7
6.5
Answer: C
Question: A straight fence is to be constructed from posts 6 inches wide and separated by lengths of chain 7 feet long. If a certain fence begins and ends with a post, which of the following could not be the length of the fence in feet? (12 inches = 1 foot)
Choices:
18
38
53
68
Answer: A
Question: y = 248 - 198x
Which of the following values of x gives the greatest value of y in the equation above?
Choices:
100
0.5
-5
4
Answer: C
Question: A number when divided by 45, gives 30 as quotient and 0 as remainder. What will be the remainder when dividing the same number by 15
Choices:
A)0
C)4
D)6
E)7
Answer: A
Question: If 525/999=0.525, what is the 81st digit to the right of the decimal point in the decimal equivalent of the fraction?
Choices:
0
3
4
5
Answer: D
Question: Car Dealership X, the total profit from sales increased by 8 percent over the previous years, while the number of cars sold decreased by 8 percent over the previous years. Approximately what was the average percent increase in profit per car over the previous year.
Choices:
17.39%
22%
23%
25%
Answer: A
Question: A cashier mentally reversed the digits of one customer's correct amount of change and thus gave the customer an incorrect amount of change. If the cash register contained 9 cents more than it should have as a result of this error, which of the following could have been the correct amount of change in cents?
Choices:
45
54
65
32
Answer: D
Question: A sum of money is put out at compound interest for 2 years at 20%. It would fetch Rs.964 more if the interest were payable half-yearly, then it were pay able yearly. Find the sum.
Choices:
31897
38799
40000
42782
Answer: C
Question: How many alphabets need to be there in a language if one were to make 1 million distinct 3 digit initials using the alphabets of the language?
Choices:
50
100
1000
90
Answer: B
Question: The perimeters of two squares are 44 cm and 32 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares .
Choices:
24 cm
26 cm
30 cm
29 cm
Answer: C
Question: A housewife has 11 litre of solution that contains sodium carbonate solution and benzene solution in the ratio 3 : 1. She adds 250 ml of 3 : 2 solution of sodium carbonate and benzene solution to it and then uses 250 ml of the combined mixture to make strong organic solution How much of pure sodium carbonate solution is she left with?
Choices:
912.5 ml
750 ml
720 ml
630 ml
Answer: C
Question: Set X consists of the integers from 10 to 15, inclusive, while set Y consists of the integers from 5 to 10, inclusive. How many distinct integers do belong to the both sets at the same time?
Choices:
8
4
1
9
Answer: C
Question: Which of the following is the Highest Common Factor of 49, 63 and 77?
Choices:
10
7
14
12
Answer: B
Question: A hare and a jackal are running a race. Three leaps of the hare are equal to four leaps of the jackal. For every one leap of the hare, the jackal takes two leaps. Find the ratio of the speed of the hare to the speed of the jackal.
Choices:
8:5
5:8
2:3
5:3
Answer: C
Question: In how many different number of ways 4 boys and 3 girls can sit on a bench such that girls always sit together?
Choices:
720
760
780
790
Answer: A
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?
Choices:
1/455
1/495
1/655
1/451
Answer: A
Question: In Goshawk-Eurasian nature reserve 30 percent of the birds are Hawks, and 40 percent of the non-Hawks are Paddyfield-Warblers. If there are 25 percent as many Kingfishers as Paddyfield-Warblers in the reserve, then what percent of the birds in the nature reserve are not Hawks, Paddyfield-Warblers, or Kingfishers?
Choices:
35%
45%
70%
80%
Answer: A
Question: A trader purchased on old bicycle for 480. He spent 20% of the cost on its repair. If he wants to earn 144 as net profit on it, how much percentage should he add to the purchase price of the bicycle?
Choices:
50%
96%
100%
None of these
Answer: A
Question: The present worth of $169 due in 2 years at 4% per annum compound interest is?
Choices:
$138.62
$156.25
$160.23
$158.95
Answer: B
Question: What least number mustbe subtracted from 427398 so that remaining no.is divisible by 15
Choices:
3
7
8
9
Answer: A
Question: Here is 15 dots. If you select 3 dots randomly, what is the probability that 3 dots make a triangle?
Choices:
412/455
412/429
412/418
412/419
Answer: A
Question: Ten animals of a circus has to be placed inside in ten cages one in each cage. If 4 of the cage are too small for 6 of the animal then find the number of ways of caging the animal.
Choices:
B.808
C.5024
D.86400
E.302400
Answer: C
Question: What least number should be added to 1015, so that the sum is completely divisible by 25?
Choices:
3
2
10
5
Answer: C
Question: If Re.250 amounts to Rs.550 over a period of 4 years. What is the rate of simple interest?
Choices:
28%
25%
22%
30%
Answer: D
Question: if x/4-x-3/6=1,then find the value of x.
Choices:
10
8
6
4
Answer: C
Question: 5 men are equal to as many women as are equal to 8 boys. All of them earn Rs.105 only. Menâ€™s wages are?
Choices:
7Rs
8Rs
4Rs
1Rs
Answer: A
Question: Solve the given two equations and find the inequality of X and Y.(a) x^2-7x+12=0 and (b) y^2+y-12=0
Choices:
If x>=y
If x<y
If x<=y
x=y or relationship cannot be established
Answer: A
Question: Laura can paint 1/x of a certain room in 20 minutes. What fraction W of the same room can Joseph paint in 20 minutes if the two of them can paint the room in an hour, working together at their respective rates?
Choices:
3x/(x-3)
(x – 3)/(3x)
x/(x-3)
(x-3)/x
Answer: B
Question: In a graduating class, the difference between the highest and lowest salaries is $100,000. The median salary is $50,000 higher than the lowest salary and the average salary is $20,000 higher than the median. What is the minimum number of students Q in the class?
Choices:
B)12
C)15
D)20
E)25
Answer: B
Question: A welder received an order to make a 1 million liter cube-shaped tank. If he has only 4x2 meter sheets of metal that can be cut, how many metal sheets will be required for this order P? (1 cubic meter = 1,000 liters)
Choices:
90
82
78
75
Answer: D
Question: 12 business executives and 7 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: If north becomes south-west ant south-west becomes east and all the directions changed in the same manner,then what will be the direction for south-east?
Choices:
North-East
North
West
none
Answer: B
Question: Jane makes toy bears. When she works with an assistant, she makes 80 percent more bears per week and works 10 percent fewer hours each week. Having an assistant increases Jane’s output of toy bears per hour by what percent Q?
Choices:
80%
100%
180%
200%
Answer: B
Question: In the xy-plane, the points (c, d), (c, -d), and (-c, -d) are three vertices of a certain square. If c < 0 and d > 0, which of the following points M is in the same quadrant as the fourth vertex of the square?
Choices:
(-5, 3)
(5, -3)
(3, -5)
(3, 5)
Answer: D
Question: Rs. 925 becomes Rs. 956 in 3 years at a certain rate of simple interest.If the rate of interest is increased by 4% ,What amount will Rs. 925 become in 3 years ?
Choices:
Rs. 1025
Rs. 1067
Data inadequate
None of these
Answer: B
Question: If x < y < z and y - x > 5, where x is an even integer and y and z are odd integers, what is the least possible value Q of z - x?
Choices:
7
8
9
10
Answer: C
Question: Find large number from below question The difference of two numbers is 1385. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Choices:
1376
1659
1555
1635
Answer: B
Question: A Mersenne number is a positive integer that is one less than any power of 2. A Mersenne prime is a Mersenne number that also happens to be prime. The largest known prime number, 2^(43112609) - 1, is a Mersenne prime. If the largest known Mersenne prime were multiplied by the smallest Mersenne prime, which of the following would represent the units digit of the product?
Choices:
3
4
6
8
Answer: A
Question: Two trains of length 200 m and 300 m are 100 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:
20 sec
80/9 sec
80/5 sec
20/7 sec
Answer: A
Question: The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on atleast one ticket is?
Choices:
P(E)=0.5904
0.5929
0.5928
0.594
Answer: A
Question: There are 100 students in a college class of which 36 are boys studying Tamil & 13 girls not studying Tamil. If there are 55 girls in all, then the probability that a boy picked up at random is not studying Tamil, is
Choices:
1/5
3/5
3/7
3/8
Answer: A
Question: If the average cost of a house was $50,000 in 1960 and was x in 2005, what was the average increase in home prices per year over this period?
Choices:
E)x/40
C)(50,000/40)+x
D)(50,000-x)/40
B)(x-50,000)/45
Answer: D
Question: The total of the ages of Amar, Akbar and Anthony is 50 years. What was the total of their ages three years ago ?
Choices:
42 years
41 years
47 years
45 years
Answer: B
Question: Vijay bought 160 shirts at the rate of Rs. 200 per shirt. The transport expenditure was Rs. 1400. He paid an octroi at the rate of Rs. 1.75 per shirt and labour charges were Rs. 320. What should be the selling price of one shirt, if he wants a profit of 20%?
Choices:
s.288
s.485
s.255
s.282
Answer: C
Question: 864.942 - ? + 45.76 = 547.905
Choices:
B)752.804
C)714.642
D)362.797
of these
Answer: C
Question: In an examination, 300 students appeared. Out of these students; 30 % got first division, 54 % got second division and the remaining just passed. Assuming that no student failed; find the number of students who just passed.
Choices:
37
54
99
48
Answer: D
Question: A rock is dropped into a well and the distance traveled is 16 t 2 feet, where t is the time. If the water splash is heard 3 seconds after the rock was dropped, and that the speed of sound is 1100 ft / sec, approximate the height of the well
Choices:
136.2 feet
132.7 feet
132.2 feet
115.3 feet
Answer: B
Question: If (10^4 * 3.456789)^10 is written as a single term, how many digits would be to the right of the decimal place?
Choices:
16
20
32
48
Answer: B
Question: If 1 is added to the denominator of fraction, the fraction becomes
1/2. If 1 is added to the numerator, the fraction becomes 1. The fraction is
Choices:
5/9
2/3
10/11
None of these
Answer: B
Question: 5 men and 12 boys finish a piece of work in 4 days, 7 men and 6 boys do it in 5 days. The ratio between the efficiencies of a man and boy is?
Choices:
6:89
6:0
6:5
6:1
Answer: C
Question: a lady's age is between 50 and 70.each of her sons has many sons as his
brothers. the sum of the sons and grandsons in the lady's age. what is her age?
Choices:
62
63
64
65
Answer: C
Question: If five persons sit in a row, then the probability that three particular persons are always together is?
Choices:
3/4
1/9
1/6
3/10
Answer: D
Question: If a,b,c,d,e are five consecutive odd numbers, their average is :
Choices:
22
288
22
20
Answer: A
Question: A pump can fill a tank with water in 2 hours. Because of a leak, it took 2 hours to fill the tank. The leak can drain all the water of the tank in?
Choices:
8 hrs
10 hrs
12 hrs
14 hrs
Answer: D
Question: A password of a computer used five digits where they are from 0 and 9. What is the probability that the first digit of the password is a 0 and the second digit is even ?
Choices:
1/15
1/20
1/100
1/200
Answer: B
Question: Tickets to a certain concert sell for $20 each. The first 10 people to show up at the ticket booth received a 40% discount, and the next 20 received a 15% discount. If 56 people bought tickets to the concert, what was the total revenue from ticket sales?
Choices:
$740
$850
$980
$1,140
Answer: C
Question: There is food for 760 men for 22 days. How many more men should join after two days so that the same food may last for 5 days more?
Choices:
2280
2299
2288
2266
Answer: A
Question: If xyz represents a positive three-digit number, where x, y and z are one-digit integers, which of the following CANNOT be true?
Choices:
y – x - z = 9
x + y + z = 9
xyz = 9
x/y/z = 9
Answer: A
Question: The denominator of a fraction is 7 greater than the numerator. If the numerator and the denominator are increased by 4, the resulting fraction is equal to 5â„6. What is the value of the original fraction?
Choices:
25/32
31/38
37/44
47/54
Answer: B
Question: The original price of a car was $22,000. Because the car owner thought he could get more money for the car, he set a new price by increasing the original price of the car by 10%. After a week, the car had not sold, so the owner discounted the new price by 10%, and the car was finally sold. What price was the car sold for?
Choices:
$21,700
$21,740
$21,780
$21,820
Answer: C
Question: Krishan and Nandan jointly started a business. Krishan invested three times as Nandan did and invested his money for double time as compared to Nandan. Nandan earned Rs. 4000. If the gain is proportional to the money invested and the time for which the money is invested then the total gain was?
Choices:
s.20000
s.24000
s.Rs 28000
s.29000
Answer: C
Question: A train 640 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
Choices:
77 kmph
144 kmph
71 kmph
88 kmph
Answer: B
Question: A train speeds past a pole in 15 sec and a platform 100 m long in 25 sec, its length is?
Choices:
178
150
287
182
Answer: B
Question: Find the next number in the series ?
2 3/4 5/7 7/10 11/13 13/16 ?
Choices:
15/19
17/19
16/19
18/19
Answer: B
Question: A and B are two partially filled buckets of water. If 4 liters are transferred from A to B, then A would contain one-third of the amount of water in B. Alternatively, if 4 liters are transferred from B to A, B would contain one-half of the amount of water in A. Bucket A contains how many liters of water?
Choices:
44/5
17
21
23
Answer: A
Question: 70, 75, 80, 85, 90, 105, 105, 130, 130, 130
The list shown consists of the times, in seconds, that it took each of 10 schoolchildren to run a distance of 400 on of meters. If the standard devastation of the 10 running times is 24.4 seconds, rounded to the nearest tenth of a second, how many of the 10 running times are more than 1 standard deviation below the mean of the 10 running times?
Choices:
two
three
four
five
Answer: A
Question: If p^2 – 13p + 40 = l, and p is a positive integer between 1 and 10, inclusive, what is the probability that l < 0?
Choices:
1/5
2/5
3/5
3/10
Answer: A
Question: The number that does not have a reciprocal is ____________.
Choices:
0
2
3
-1
Answer: A
Question: One packet of flower seeds was enough to just fill the area of the smaller garden in #3. How
many packets of seed are needed for the larger garden? Round each answer to the nearest square
foot before continuing.
Choices:
2 seed packets
3 seed packets
4 seed packets
5 seed packets
Answer: C
Question: Due to construction, the speed limit along an 10-mile section of highway is reduced from 55 miles per hour to 35 miles per hour. Approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ?
Choices:
6.24
10
15
24
Answer: A
Question: How many seconds does a train 125 meters long, traveling at 72 km/h, take to completely cross a bridge of 205 meters in length?
Choices:
14.5
16.5
18.5
20.5
Answer: B
Question: If f(x) = k(x - k) and k is a constant, what is the value of f(5) - f(2), in terms of k?
Choices:
3k
7k - 1
k^2 + k
k^2 - k
Answer: A
Question: Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 70 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Choices:
24 sec
36 sec
60 sec
62 sec
Answer: B
Question: I. a2 - 9a + 20 = 0,
II. 2b2 - 5b - 12 = 0 to solve both the equations to find the values of a and b?
Choices:
If a ≤ b
If the relationship between a and b cannot be established
If a > b
If a ≥ b
Answer: D
Question: If a number p is prime, and 2p+3 = q, where q is also prime, then the decimal expansion of 1/q will produce a decimal with q-1 digits. If this method produces a decimal with 166 digits, what is the units digit of the product of p and q?
Choices:
1
5
7
9
Answer: A
Question: Find the odd man out. 15, 25, 30, 51, 85, 90, 115
Choices:
25
51
90
115
Answer: B
Question: Find large no. from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Choices:
1456
1567
1678
1635
Answer: D
Question: Plane leaves from Chelsea every 40 minutes from West Ham airport. Air hostess told Frank Lampard that the plane had left 25 minutes ago and the next plane for Chelsea will leave at 7:00 p.m.
At what time air hostess convey this information to Frank Lampard?
Choices:
6:45 p.m
7:35 p.m
8:35 p.m
9:35 p.m
Answer: A