antoine-444/aqua_rat_dataset huggingface dataset:
Question: Rich has 3 green, 2 red and 3 blue balls in a bag. He randomly picks 5 from the bag without replacement. What is the probability R that of the 5 drawn balls, Rich has picked 1 red, 2 green, and 2 blue balls?
Choices:
R=9/28
10/28
10/18
11/18
Answer: A
Question: Angelo and Isabella are both salespersons. In any given week, Angelo makes $590 in base salary plus 8 percent of the portion of his sales above $1,000 for that week. Isabella makes 10 percent of her total sales for any given week. For what amount of weekly sales would Angelo and Isabella earn the same amount of money?
Choices:
24,500
25,500
26,500
27,500
Answer: B
Question: What is the difference between the compound interest on Rs.12000 at 20% p.a. for one year when compounded yearly and half yearly?
Choices:
Rs.120
Rs.127
Rs.197
Rs.122
Answer: A
Question: P runs 25% faster than Q so P gives Q a twenty meter head start. If the race ends in a tie, how far (in meters) did P run in the race?
Choices:
100
110
120
130
Answer: A
Question: Two brothers took the GMAT exam, the higher score is X and the lower one is Y. If the difference between the two scores is 1/3, what is the value of Y/X ?
Choices:
2.
1/2.
1/4
There isn't enough data to answer the question.
Answer: C
Question: Aruna cut a cake into two halves and cuts one half into smaller pieces of equal size. Each of the small pieces is twenty grams in weight. If she has seven pieces of the cake in all with her, how heavy was the original cake ?
Choices:
140 grams
240 grams
280 grams
None of these
Answer: B
Question: Mike took 5 mock tests before appearing for the GMAT. In each mock test he scored 10 points more than the previous mock test. If he scored 750 on the GMAT and his average score for the mocks and the GMAT was 726.67, what was the difference in the score of his last mock and his GMAT score?
Choices:
8
40
50
60
Answer: A
Question: Lindsay can paint 1/x of a certain room in one hour. If Lindsay and Joseph, working together at their respective rates, can paint the room in three hours, what fraction of the room can Joseph paint in 20 minutes?
Choices:
x/(x-9)
(x-3)/9x
x/(x-3)
(x-3)/x
Answer: B
Question: A and B walk around a circular track. They start at 8 a.m. from the same point in the opposite directions. A and B walk at a speed of 1 rounds per hour and 1 rounds per hour respectively. How many times shall they cross each other before 9.30 a.m. ?
Choices:
B)6
C)8
D)3
E)9
Answer: C
Question: In a bag there are coins of 50 paisa, 25 paisa and one rupee in the proportion 10:8:2. If there are in all Rs.90, the number of 50 paisa coins is?
Choices:
110
90
80
100
Answer: D
Question: How much 60% of 50 is greater than 40% of 30?
Choices:
18
15
20
25
Answer: A
Question: A coin has two sides. One side has the number 1 on it and the other side has the number 2 on it. If the coin is flipped four times what is the probability that the sum of the numbers on the landing side of the coin will be greater than 6?
Choices:
1/16
5/8
3/4
5/16
Answer: D
Question: Each child has 4 crayons and 14 apples. If there are 9 children, how many crayons are there in total?
Choices:
65
12
36
10
Answer: C
Question: A taxi charges w dollars for the first two miles and c cents per quarter mile for every mile after the first two. Which equation describes cost of a taxi ride of n miles in dollars.
Choices:
cw + 4n-8/200
w + (4cn-8c)/100
w + 100cn/4
4cw(n-2) – 100
Answer: B
Question: A starts business with Rs. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B's contribution in the capital?
Choices:
Rs. 8000
Rs. 8500
Rs. 9000
None of these
Answer: C
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 330 m long platform?
Choices:
55 min
47 min
67 min
45 min
Answer: D
Question: Find the fourth proportion to 5,10,15
Choices:
20
42
36
30
Answer: D
Question: In a carton containing a dozen mirrors is dropped, which of the following cannot be the ratio of broken mirrors to unbroken mirrors?
Choices:
3 : 1
3 : 2
7 : 5
None
Answer: B
Question: 7, 26, 63, 124, 215, 342, (....)
Choices:
511
421
391
515
Answer: A
Question: For any positive integer n, the sum of the first n positive integers equals n(n+1)/2. What is the sum x of all the even integers between 99 and 301?
Choices:
20,200
22,650
40,200
45,150
Answer: A
Question: A boat covers a certain distance downstream in 1 hour, while it comes back in 11⁄2 hours. If the speed of the stream be 3 kmph, what is the speed of the boat in still water?
Choices:
15 kmph
13 kmph
12 kmph
None of these
Answer: A
Question: Find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 9 cm and 6 cm?
Choices:
150
887
279
771
Answer: A
Question: In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 100, the dividend is:
Choices:
B)5330
C)25100
D)53400
E)53420
Answer: B
Question: The length of the bridge, which a train 140 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
Choices:
235
245
250
260
Answer: A
Question: The ages of 2 persons differ by 35 years. If 10 years ago the elder one be 6 times as old as the younger one, find the present age of elder person.
Choices:
48.5
52
50
55
Answer: C
Question: A painting crew painted 80 houses. They painted the first y houses at a rate of x houses per week. Then more painters arrived and everyone worked together to paint the remaining houses at a rate of 6.25x houses per week. How many weeks did it take to paint all 80 houses, in terms of x and y?
Choices:
(y +190)/(5x)
5(80 - y)/(4x)
(y + 400)/(4x)
(4y + 320)/(5x)
Answer: A
Question: What is the next number of the following sequence
2, 12, 4, 24, 8, 48, (...)
Choices:
12
16
20
22
Answer: B
Question: A committee has 5 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee?
Choices:
200
277
266
121
Answer: A
Question: 15% of 75 is the same as vx% of 450.find x.
Choices:
2.5
3
4
5
Answer: A
Question: In a set of numbers from 100 to 1000 inclusive, how many integers are odd and do not contain the digit 9?
Choices:
196
288
286
324
Answer: B
Question: Can you deduce the pattern and find the next number in the series?
13, 24, 35, 46, __?
Choices:
65
54
25
57
Answer: D
Question: What is the perimeter of a triangle with sides 7 and 5 that has the maximum possible area?
Choices:
12 + 4√7
12 + √47
12 + 4√47
12 + √74
Answer: D
Question: A cistern is filled by a tap in 8 1/2 hours. Due to leak in the bottom of the cistern, it takes half an hour longer to fill the cistern. If the cistern is full how many hours will it take the leak to empty it?
Choices:
143
153
163
173
Answer: B
Question: If x + y = 11 and x – y = 3, then x^2 - y^2 =
Choices:
4
10
33
40
Answer: C
Question: During a particular baseball game, the probability of a team's pitcher throwing a strike on each throw is 2/5. What is the least number of times that the pitcher should pitch the ball that will increase the probability of getting a strike at least once to more than 50%.
Choices:
2
1
4
5
Answer: A
Question: In a box of 12 pens, a total of 6 are defective. If a customer buys 2 pens selected at random from the box, what is the probability that neither pen will be defective?
Choices:
5/22
6/11
9/16
3/4
Answer: A
Question: A train 125 m long passes a man, running at 15 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
Choices:
60
28
26
29
Answer: A
Question: What is the probability of rolling two normal six-sided dice and getting exactly one six?
Choices:
1/6
5/18
11/36
1/3
Answer: B
Question: A man walking at the rate of 5 km/hr crosses a bridge in 15 minutes. What is the length of the bridge (in metres)?
Choices:
1250
1320
1340
1450
Answer: A
Question: How many positive integers, from 2 to 100, inclusive, are not divisible by even integers greater than 1?
Choices:
6
8
10
50
Answer: A
Question: How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length?
Choices:
12.1 sec
17.9 sec
37.9 sec
12.8 sec
Answer: A
Question: Jerry, an electrician, worked 7 months out of the year. What percent
of the year did he work? (round answer to the nearest hundredth)
What percent 12 is 7? 12 months = 1 year
Choices:
58.33%
78.33%
88.33%
98.33%
Answer: A
Question: For any positive integer n, the sum of the first n positive integers equals n(n+1)/2. What is the sum of all the even integers between 99 and 181?
Choices:
5740
6580
7360
9200
Answer: A
Question: The value of a stock is X dollars. On Sunday the stock's value grew by third of its value, but on Monday its value dropped to a third of its new value. What is the stock's value at the end of Monday?
Choices:
X/2.
2X/3.
X/3.
4X/9.
Answer: D
Question: If a sum of money doubles itself in 15 years at simple interest, the ratepercent per annum is
Choices:
12.5
6.67
13.5
14
Answer: B
Question: If the diagonal of a rectangle is 17cm long and its perimeter is 46 cm. Find the area of the rectangle.
Choices:
120
130
140
150
Answer: A
Question: A beekeeper has 100,000 bees living in five beehives. Among these beehives, the sizes of the beehives are proportional to the numbers of bees living in them. No beehive has less than 80% the number of bees of any other beehive. What is the maximum possible number of bees that the greatest beehive could have?
Choices:
2381
34000
26000
37000
Answer: A
Question: A bullet train 140 m long is running at 60 kmph. In how much time will it pass a platform 410 m long?
Choices:
33 Seconds
41 Seconds
24 Seconds
29 Seconds
Answer: A
Question: Suzie’s Discount Footwear sells all pairs of shoes for one price and all pairs of boots for another price. On Monday the store sold 22 pairs of shoes and 16 pairs of boots for $460. On Tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $560. How much more do pairs of boots cost than pairs of shoes at Suzie’s Discount Footwear?
Choices:
14
16
15
18
Answer: C
Question: If x/y=4 and y is not '0' what % of x is 2x-y
Choices:
125%
175%
185%
195%
Answer: B
Question: It takes Megan 7 minutes to run a mile, and it takes Mike 8 minutes. If Megan and Mike both begin running at exactly 8:00 a.m. without pausing, when is the first time at which they will finish running a mile simultaneously?
Choices:
8:35 am
8:42 am
8:49 am
8:56 am
Answer: D
Question: There r 4 prime numbers in ascending order. The multiplication of first 3 is 385 and that of last 3is 1001. what is the last number is
Choices:
15
16
13
18
Answer: C
Question: A batsman hits a score of 78 runs in the 16th inning and thus increases his average by 4. Find his average after 16th inning.
Choices:
18
27
39
40
Answer: A
Question: The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?
Choices:
68
92
23
23
Answer: A
Question: A person borrows Rs.5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 8% p.a for 2 years. Find his gain in the transaction per year.
Choices:
150
200
112.5
212.5
Answer: B
Question: If a is a positive integer, and if the units digit of a^2 is 9 and the units digit of (a+1)^2 is 4, what is the units D digit of (a+2)^2?
Choices:
1
5
6
C. 14
Answer: A
Question: The H.C.F. of two numbers is 28 and the other two factors of their L.C.M. are 12 and 15. The larger of the two numbers is
Choices:
420
312
322
None
Answer: A
Question: If n is a positive integer and n^2 is divisible by 36, then the largest positive integer that must divide n is
Choices:
6
24
36
48
Answer: A
Question: As a bicycle salesperson, Norman earns a fixed salary of $20 per week plus $6 per bicycle for the first six bicycles he sells, $12 per bicycle for the next six bicycles he sells, and $18 per bicycle for every bicycle sold after the first 12. This week, Norman earned more than twice as much as he did last week. If he sold a bicycles last week and y bicycles this week, which of the following statements must be true?
I. y > 2a
II. y > a
III. y > 3
Choices:
II only
I and II
II and III
I, II, and III
Answer: C
Question: Find the number of ways of arranging the boy and 3 guests at a circular table so that the boy always sits in a particular seat?
Choices:
3!
11!
12!
14!
Answer: A
Question: In the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30. In the sport formulation, the ratio of flavoring to corn syrup is three times as great as in the standard formulation, and the ratio of flavoring to water is half that of the standard formulation. If a large bottle of the sport formulation contains 2 ounces of corn syrup, how many ounces of water does it contain?
Choices:
30
45
60
90
Answer: A
Question: The incomes of two persons A and B are in the ratio 3:4. If each saves Rs.100 per month, the ratio of their expenditures is 1:2 . Find their incomes?
Choices:
150,209
150,200
150,202
150,201
Answer: B
Question: In a card game, a combination of three aces beats all others. If Jose is the first to draw from a standard deck of 52 cards, what is the probability that he wins the game with the best possible combination?
Choices:
1/5520
1/5525
1/5545
1/5600
Answer: B
Question: At a certain health club, 30 percent of the members use both the pool and sauna, but 50 percent of the members who use the pool do not use the sauna. What percent of the members of the health club use the pool?
Choices:
46 2/3%
50%
62 1/2%
75%
Answer: A
Question: The number of bacteria in a petri dish increased by 50 percent every 2 hours. If there were 108 million bacteria in the dish at 1: 00 p.m., at what time were there 32 million bacteria in the dish?
Choices:
7: 00 p.m.
6: 00 a.m.
8: 00 a.m.
10: 00 a.m.
Answer: A
Question: Ram's salary is 25% more than Raja's. How much percent is Raja's salary less than Ram's?
Choices:
15%
20%
25%
50%
Answer: B
Question: A box contains 7 pairs of shoes (14 shoes in total). If two shoes are selected at random, what it is the probability that they are matching shoes?
Choices:
1/20
1/19
1/13
1/9
Answer: C
Question: In a certain game, you perform three tasks. You flip a coin, and success would be heads. You roll a single die, and success would be a two. You pick a card from a full playing-card deck, and success would be picking a spades card. If exactly one of these three tasks is successful, then you win the game. What is the probability of winning?
Choices:
15/32
14/36
23/48
17/56
Answer: C
Question: In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?
Choices:
2.5 sec
3.5 sec
2.9 sec
9.5 sec
Answer: A
Question: A survey of n people in the town of Eros found that 50% of them preferred Brand A. Another survey of 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: A person was asked to state his age in years. His reply was, "Take my age three years hence, multiply it by 3 and then subtract three times my age three years ago and you will know how old I am." What was the age of the person?
Choices:
18
77
55
44
Answer: A
Question: If A,B,C,D,E,F,G,H,I,J are in an decreasing Arithmetic Progression as such. Then Which of the following operations will result in only median being modified not the mean.
A) A is removed
B) A and J are removed
C) B and I are removed
D) A,B,C,H,I,J are removed
E) A and E are removed
Choices:
2) A and E
3) A,C,E
4) None of them
5) All of them
Answer: C
Question: A tank is filled in SIXTEEN hours by three pipes A, B and C. Pipe A is twice as fast as pipe B, and B is twice as fast as C. How much time will pipe B alone take to fill the tank?
Choices:
56 hours
55 hours
66 hours
47 hours
Answer: A
Question: The sum of three consecutive multiples of 3 is 72. What is the largest number?
Choices:
24
27
36
42
Answer: B
Question: If you select two cards from a pile of cards numbered 1 to 10, what is the probability that the sum of the numbers is more than 17?
Choices:
1/10
2/15
1/45
2/45
Answer: D
Question: Sum of 36 odd numbers is?
Choices:
1295
1296
1297
1298
Answer: B
Question: Ram covers a part of the journey at 20 kmph and the balance at 70 kmph taking total of 8 hours to cover the distance of 400 km. How many hours has been driving at 20 kmph?
Choices:
3.2 hr
3.6 hr
3.8 hr
4.2 hr
Answer: A
Question: A train passes a station platform in 31 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Choices:
240
165
166
1811
Answer: B
Question: A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. What is the length of the wire?
Choices:
6 cm
4 cm
3 cm
9 cm
Answer: D
Question: Company M produces two kinds of stereos: basic and deluxe. Of the stereos produced by Company S last month, 2/3 were basic and the rest were deluxe. If it takes 1.5 as many hours to produce a deluxe stereo as it does to produce a basic stereo, then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos?
Choices:
14/31
3/7
17/35
1/2
Answer: B
Question: In a six-sided polygon WQRSTV ∠W measures 48° less than the average (arithmetic mean) of the remaining five angles. What does ∠W equal to, in degrees?
Choices:
80
88
96
104
Answer: A
Question: Calculate the value of r: 6r^2-17r+6 = 254
Choices:
8
5
9
3
Answer: A
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
Choices:
288
178
150
2821
Answer: C
Question: A person crosses a 600600 metre long street in 55 minutes. What is his speed in km per hour?
Choices:
4.2
6.1
7.2
9.1
Answer: C
Question: If M/N = 6/5,then 3M+2N = ?
If p/q = 5/4 , then 2p+q= ?
If PQRST is a parallelogram what it the ratio of triangle PQS & parallelogram PQRST
Choices:
28/5
27/5
26/5
38/5
Answer: A
Question: At a certain company, each employee has a salary grade s that is at least 1 and at most 5. Each employee receives an hourly wage p, in dollars, determined by the formula p = 9.50 + 0.25(s – 2). An employee with a salary grade of 5 receives how many more dollars per hour than an employee with a salary grade of 1?
Choices:
$1.00
$1.25
$1.50
$1.75
Answer: D
Question: If a and b are positive integers and (3^a)^b = 3^3, what is the value of 3^a*3^b?
Choices:
9
81
27
243
Answer: B
Question: What is the probability that a leap year has 53 Sundays and 52 Mondays?
Choices:
1/7
1/2
1/1
1/5
Answer: A
Question: A man can row upstream at 55 kmph and downstream at 65 kmph, and then find the speed of the man in still water?
Choices:
70
60
80
24
Answer: B
Question: In a room with 10 people, 6 people have exactly 1 friend in the room and 5 people have exactly 2 friends in the room (Assuming that friendship is a mutual relationship, i.e. if Jane is Paul's friend, Paul is Jane's friend). If two individuals are selected from the room at random, what is the probability that those two individuals are NOT friends?
Choices:
3/7
4/5
5/7
16/21
Answer: B
Question: If an integer x is to be selected at random from 1 to 100, inclusive, what is probability x(x+1) will be divisible by 2?
Choices:
1
2
4
5
Answer: A
Question: The parameter of a square is equal to the perimeter of a rectangle of length 18 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)
Choices:
25.14 cm
84.92 cm
94.94 cm
23.57 cm
Answer: A
Question: A boatman can row 96 km downstream in 8 hr. If the speed of the current is 4 km/hr, then find in what time will be able to cover 8 km upstream?
Choices:
2 hr
4 hr
1 hr
None of these
Answer: A
Question: Two tests had the same maximum mark. The pass percentages in the first and the second test were 40% and 45% respectively. A candidate scored 216 marks in the second test and failed by 75 marks in that test. Find the pass mark in the first test?
Choices:
243
246
288
224
Answer: C
Question: Three pieces of timber 36 m, 42 m and 54 m long have to be divided into planks of the same length, What is the greatest possible length of each plank ?
Choices:
1 m
2 m
6 m
None of these
Answer: C
Question: A polygon has 54 diagonals. How many sides does it have?
Self made
Choices:
12
14
15
16
Answer: A
Question: A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 30%?
Choices:
650
772
652
271
Answer: A
Question: Nitin’s salary is reduced by 10% and then reduced salary is increased by 10%. Find ,how many percentage his present salary is less as compared to his previous salary?
Choices:
8%
1%
2%
9%
Answer: B
Question: Jill, who lives in City C, plans to visit 5 different cities, M, L, S,N,and O. She plans to visit each city exactly once and return to City C after the 5 visits. She can visit the cities in any order. In how many different orders can she visit the 5 cities?
Choices:
120
8
9
12
Answer: A
Question: A pair of articles was bought for $900 at a discount of 10%. What must be the marked price of each of the article?
Choices:
$500
$350
$400
$600
Answer: A
Question: Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is
Choices:
17/25
17/21
17/20
17/23
Answer: C
Question: Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. If the faster train passes the slower train in 36 seconds,what is the length of each train?
Choices:
70
62
50
54
Answer: C
Question: What is the 4 digit number in which the 1st digit is 1/3 of the second, the 3rd is the sum of the 1st and 2nd, and the last is three times the second?
Choices:
1345
1349
1467
1500
Answer: B
Question: A man sells two articles for Rs.3640 each and he gains 25% on the first and loses 25% on the next. Find his total gain or loss?
Choices:
2%loss
6%loss
8%loss
1%loss
Answer: B
Question: A merchant marks his goods up by 40% and then offers a discount of 20% on the marked price. What % profit does the merchant make after the discount?
Choices:
25%
69%
31%
12%
Answer: D
Question: An athlete runs 200 metres race in 40 seconds. What is his speed?
Choices:
38
18
30
28
Answer: B
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:
16 cm
18 cm
20 cm
22 cm
Answer: B
Question: How many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Choices:
400
500
600
700
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:
77
18
10
81
Answer: C
Question: Eric, Nick and Archi make contributions to the Society Of Nature Protection in the ratio of 5:3:2.5. If altogether they contribute 5145 Nis, how much more money does Nick contribute than Archi?
Choices:
212 Nis
234 Nis
245 Nis
288 Nis
Answer: C
Question: Two trains of equal are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is?
Choices:
40
60
70
80
Answer: A
Question: At a certain diner, Joe ordered 3 doughnuts and a cup of coffee and was charged $ 2.25. Stella ordered 2 doughnuts and a cup of coffee and was charged $ 1.35. What is the price of 2 doughnuts?
Choices:
$ 1.00
$ 1.10
$ 1.30
$ 1.80
Answer: D
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 T?
Choices:
80%
100%
180%
200%
Answer: B
Question: O(x) represents the least odd integer greater than x, whereas o(x) represents the greatest odd integer less than x. Likewise, E(x) represents the least even integer greater than x, whereas e(x) represents the greatest even integer less than x. According to these definitions, the value of O(5.3) + E(–6.7) + o(–7.3) + e(6.6) is:
Choices:
-2
0
2
4
Answer: A
Question: A and B started 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:
7500
2877
2768
26871
Answer: A
Question: The area of a square field is 28808 sq m. How long will a lady take to cross the field diagonally at the rate of 7.2 km/hr?
Choices:
3 min
2 min
4 min
4.5 min
Answer: B
Question: A rectangular table seats 7 people on each of two sides, with every person directly facing another person across the table. If 14 people choose their seats at random, what is probability that person P directly faces person Q?
Choices:
1/11
1/12
1/13
1/14
Answer: C
Question: A man & his wife appear in an interview for 2vacancies in the same post. The probability of husband's selection is 1/7 & the probability of wife's selection is 1/5. What is the probability that only 1 of them is selected ?
Choices:
2/3
2/7
3/11
4/5
Answer: B
Question: If a, t, and c are consecutive even integers and a < t < c, all of the following must be divisible by 4 EXCEPT
Choices:
t + c
ac
(bc)/2
(abc)/4
Answer: A
Question: The difference between a two digit number and the number obtained by interchanging the positions of its digit is 36. What is the difference between the two digits of that number?
Choices:
4
9
8
7
Answer: A
Question: How many positive numbers not greater than 4300 can be formed using the digits 0,1,2,3,4 where repeatation is allowed?
Choices:
576 numbers
620
640
660
Answer: A
Question: A train crosses a platform of 200 m in 20 sec, same train crosses another platform of length 350 m in 25 sec. then find the length of the train?
Choices:
180m
400m
250m
155m
Answer: B
Question: The ratio of three numbers is 5:3:4 and their sum is 108. The second number of the three numbers is?
Choices:
16
27
29
30
Answer: B
Question: A and B starts a business with Rs.8000 each, and after 4 months, B withdraws half of his capital . How should they share the profits at the end of the 16 months?
Choices:
16:11
18:19
18:121
18:112
Answer: A
Question: Worker A takes 10 hours to do a job. Worker B takes 12 hours to do the same job. How long it take both A & B, working together but independently, to do the same job?
Choices:
40/9 days
60/11 days
30/9 days
60/9 days
Answer: B
Question: The simple form of the ratio 4/2:2/5 is?
Choices:
5:1
15:3
25:3
30:3
Answer: A
Question: What is the smallest no. which must be added to 8261955 so as to obtain a sum which is divisible by 11?
Choices:
2
4
6
8
Answer: A
Question: A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 700 m long?
Choices:
94sec
85sec
80sec
76sec
Answer: A
Question: There are 5 cars to be displayed in 5 parking spaces with all the cars facing the same direction. Of the 5 cars, 3 are red, 1 is blue and 1 is yellow. If the cars are identical except for color, how many different display arrangements of the 5 cars are possible?
Choices:
25
40
60
125
Answer: B
Question: If w is 40 percent less than e, e is 40 percent less than y, and z is 46 percent less than y, then z is greater than w by what percent of w?
Choices:
18%
36%
40%
50%
Answer: D
Question: Which of the following is NOT the sum of the squares of two integers?
Choices:
37
65
146
147
Answer: D
Question: Which of the following cannot be the square of an integer
Choices:
385641
227529
261121
426408
Answer: D
Question: Two cubes of their volumes in the ratio 64 : 125. The ratio of their surface area is:
Choices:
2:5
3:5
1:5
4:5
Answer: D
Question: Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is ?
Choices:
17/29
17/24
17/20
17/21
Answer: C
Question: What is the banker's discount if the true discount on a bill of Rs.540 is Rs.90 ?
Choices:
Rs. 108
Rs. 102
Rs. 106
None of these
Answer: A
Question: In one year, the population, of a village increased by 10% and in the next year, it decreased by 10%. If at the end of 2nd year, the population was 7920, what was it in the beginning?
Choices:
8000
2788
2999
1121
Answer: A
Question: During a trip, Francine traveled x percent of the total distance at an average speed of 40 miles per hour and the rest of the distance at an average speed of 80 miles per hour. In terms of x, what was Francine's average speed for the entire trip?
Choices:
4800/x+60
(300-x)/5
600/(115-x)
12,000/(x+200)
Answer: A
Question: The ratio between the present ages of P and Q is 6:7. If Q is 4 years old than P, what will be the ratio of the ages of P and Q after 4 years
Choices:
7:8
3:8
5:8
6:8
Answer: A
Question: Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in:
Choices:
3 9 /17 hours
2 8 /11 hours
4 1 /2 hours
None of these
Answer: A
Question: Simple interest on a certain sum is 9.8 over 20 of the sum. Find the rate per cent and time, if both are equal.
Choices:
7% and 7 years
10% and 10 years
12 % and 12 years
None of these
Answer: A
Question: An businessman earns an income of Re 2 on the first day of his business. On every subsequent day, he earns an income which is just double of that made on the previous day. On the 20th day of business, he earns an income of:
Choices:
22
36
20
30
Answer: B
Question: Walking 6/7th of his usual speed, a man is 12 minutes too late. The usual time taken by him to cover that distance is :
Choices:
1 hr 10 min
1 hr 11 min
1 hr 12 min
None
Answer: C
Question: Raju age after 25 years will be 5 times his age 5 years back, What is the present age of Raju
Choices:
17
10.21
77
12.5
Answer: D
Question: What is the least integer that is a sum of four different prime numbers each greater than 10?
Choices:
60
64
66
68
Answer: A
Question: At Company K, 15 percent of the employees are secretaries and 60 percent are salespeople. If there are 55 other employees of Company K, how many employees does Company K have?
Choices:
180
190
200
220
Answer: D
Question: If you divide 7^93 by 5, which remainder do you get?
Choices:
1
2
3
4
Answer: B
Question: An athlete runs 200 meters race in 18sec. His speed is?
Choices:
15km/hr
30km/hr
25km/hr
40km/hr
Answer: D
Question: The number of roots common between the two equations x3+3x2+4x+5=0x3+3x2+4x+5=0 and x3+2x2+7x+3=0x3+2x2+7x+3=0 is
Choices:
27
13
88
21
Answer: B
Question: If a quality control check is made inspecting a sample of 2 light bulbs from a box of 8 lighbulbs, how many different samples can be chosen?
Choices:
28
36
66
72
Answer: A
Question: A boy want to make a cuboid of dimension 5m, 6m, 7m from small cubes of .04 m3. Later he realized he can make same cuboid by making it hollow. Then it takes some cubes less. What is the no. of these cubes?
Choices:
2250
2350
2850
3250
Answer: A
Question: If X,Y is 20%,25% greater than Z then how much percentage is X smaller than Y?
Choices:
4
6
7
1
Answer: A
Question: A data set with a mean of 60 has a standard deviation of 8.7. Which of the following is the smallest number that falls within one standard deviation of the mean?
Choices:
51
59
63.5
65
Answer: A
Question: Anne traveled from City A to City B in 4 hours, and her speed was between 20 miles per hour and 40 miles per hour. John traveled from City A to City B along the same route in 2 hours, and his speed was between 45 miles per hour and 60 miles per hour. Which of the following could be the distance, in miles, from City A to City B?
Choices:
115
125
160
180
Answer: A
Question: At the time of marriage, a man was 6 years elder to his wife. 14 years after their marriage, his age is 8/7 times the age of his wife. What was wife's age at the time of marriage ? Choose one answer.
Choices:
30 years
28 years
14 years
26 years
Answer: B
Question: g(a) is defined as the product of all even integers k such that 0 < k ≤ x. For example, g(14) = 2 × 4 × 6 × 8 × 10 × 12 × 14. If g(y) is divisible by 4^11, what is the smallest possible value for a?
Choices:
24
28
32
44
Answer: A
Question: A merchant has 1000 kg of sugar part of which he sells at 8% profit and the rest at 18% profit. He
gains 14% on the whole. The Quantity sold at 18% profit is
Choices:
400
600
500
None of these
Answer: B
Question: A train 960 m long passed a pole in 24 sec. How long will it take to pass a platform 800 m long?
Choices:
44
48
52
56
Answer: A
Question: All the students of class are told to sit in circle shape. Here the boy at the 6 th position is exactly opposite to 16 th boy. Total number of boys in the class?
Choices:
15
20
25
30
Answer: B
Question: The speed of a boat in upstream is 75 kmph and the speed of the boat downstream is 115 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
20 kmph
12 kmph
97 kmph
15 kmph
Answer: A
Question: Data sufficiency question:
There are six people. Each cast one vote in favor of other five. Who won the elections?
i) 4 older cast their vote in favor of the oldest candidate
ii) 2 younger cast their vote to the second oldest
Choices:
27
199
17
191
Answer: C
Question: A committee has 5 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee?
Choices:
200
827
289
270
Answer: A
Question: What is the smallest positive integer x such that 864x is the cube of a positive integer
Choices:
12
9
5
2
Answer: D
Question: The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 12 units?
Choices:
99
88
72
168
Answer: D
Question: A is twice as good a work man as B and together they finish a piece of work in 24 days.The number of days taken by A alone to finish the work is :
Choices:
16 days.
12 days.
24 days.
36 days.
Answer: D
Question: For a particular American football game, the probability of a team's quarterback throwing a completed pass on each throw is 3/10. What is the least number of times that the quarterback should throw the ball that will increase the probability of getting a completed pass at least once to more than 50%.
Choices:
5
2
3
1
Answer: B
Question: If x and y are multiples of 2 then which are all the multiples of 2
1) x*y
2) x^y
3) x+y
4) x-y
5) x/y
Choices:
1,2,4,5
1,2,5
1,2,3,4
all of these
Answer: C
Question: A father was as old as his son's present at the time of your birth. If the father's age is 38 years now, the son's age 5years back was?
Choices:
12 years
14 years
16 years
18 years
Answer: B
Question: what is the sum of the first 30 odd natural numbers
Choices:
400
900
600
700
Answer: B
Question: How many times digit 10 is used while writing numbers from 100 to 1000?
Choices:
90
85
110
120
Answer: A
Question: Workers at a campaign office have 3000 fliers to send out. If they send out 1/5 of them in the morning and 1/4 of the remaining ones out during the afternoon, how many are left for the next day?
Choices:
1800
1100
1200
1900
Answer: A
Question: Arun went for a movie nine days ago. He goes to watch movies only on Thursdays. What day of the week is today?
Choices:
Saturday
Friday
Sunday
Monday
Answer: A
Question: By selling 12 toffees for a rupee, a man loses 20%. How many for a rupee should be sell to get a gain of 20%?
Choices:
8
9
6
4
Answer: A
Question: When working alone, painter W can paint a room in 2 hours, and working alone, painter X can paint the same room in f hours. When the two painters work together and independently, they can paint the room in 3/4 of an hour. What is the value of f?
Choices:
1[1/5]
1[2/5]
1[3/4]
2
Answer: A
Question: If 2 tables and 3 chairs cost Rs, 3500 and 3 tables and 2 chairs cost Rs. 4000, then how much does a table cost ?
Choices:
1000
2778
766
18811
Answer: A
Question: A type A machine can complete a job in 5 hours and a type B machine can complete the job in 7 hours. How many hours will it take 2 type A machines and 3 type B machines working together and independently to complete the job?
Choices:
29/35
5/6
35/29
35/12
Answer: C
Question: A boat ma goes 2km against the current of the stream in 1 hr and goes 1 km along the current in 10 min. how long will it take to go 5 km in stationary water
Choices:
1hr
1hr 15 min
1hr 30 min
4 hr
Answer: B
Question: A bowl was filled with 10 ounces of water, and 0.012 ounce of the water evaporated each day during a 50-day period. What percent of the original amount of water evaporated during this period?
Choices:
0.04%
0.40%
6%
40%
Answer: C
Question: By selling 12 toffees for a rupee, a man loses 20%. How many for a rupee should be sell to get a gain of 20%?
Choices:
8
10
15
20
Answer: A
Question: If John invested $ 1 at 6 percent interest compounded annually, the total value of the investment, in dollars, at the end of 4 years would be
Choices:
4(1.5)
(1.05)^4
1 + (0.05)^4
(1.06)^4
Answer: D
Question: 2, -6, 18, -54, 162, (...)
Choices:
422
-422
-468
-486
Answer: D
Question: A trader bought a car at 20% discount on its original price. He sold it at a 40% increase on the price he bought it. What percent of profit did he make on the original price?
Choices:
12%
15%
14%
22%
Answer: A
Question: A man can row his boat with the stream at 22 km/h and against the stream in 10 km/h. The man's rate is?
Choices:
6 kmph
7 kmph
4 kmph
9 kmph
Answer: A
Question: Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.2880?
Choices:
3388
7767
2009
3645
Answer: D
Question: Rahim travels 4 Kms in 15 minutes and another 4 Kms in 5 mins. Deepak travels at the average speed of Rahim. Then what could be the distance covered by him in 50 minutes:
Choices:
12 km.
20 km.
13.5km.
15.5km.
Answer: B
Question: If the positive integer x is a multiple of 3 and the positive integer y is a multiple of 3, then xy must be a multiple of which of the following?
I. 3
II. 12
III. 9
Choices:
I and III only
I and II only
II and III only
I, II, and III
Answer: A
Question: A man buys a cycle for Rs. 800 and sells it at a loss of 15%. What is the selling price of the cycle?
Choices:
s. 1160
s. 680
s. 520
s. 700
Answer: B
Question: If n divided by 7 has a remainder of 2, what is the remainder when 5 times n is divided by 7?
Choices:
2
3
5
6
Answer: B
Question: If the simple interest on a sum of money for 2 years at 5% per annum is Rs.50, what is the compound interest on the same at the same rate and for the same time?
Choices:
Rs.51.25
Rs.54.25
Rs.60
None
Answer: A
Question: Find the product of the local value and absolute value of 6 in 564823
Choices:
16000
12000
18000
360000
Answer: D
Question: In how much time will a train of length 130 m, moving at 36 kmph cross an electric pole?
Choices:
sec
sec
sec
sec
Answer: C
Question: The original price of a certain TV set is discounted by s percent, and the reduced price is then discounted by 2s percent. If P is the original price of the TV Set, which of the following represents the price of the television set after the two successive discounts?
Choices:
P(1 - 0.03s + 0.0002s^2)
P(1 - 0.03x + 0.002x^2)
P(1 - 2x^2)
P(1 - 3x + 2x^2)
Answer: A
Question: A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 1:3 and B:C = 1:5. If the total runs scored by all of them are 95, the runs scored by C are?
Choices:
20.13
75
20.93
10.93
Answer: B
Question: There are 15 stamps from which two stamps will be selected. Tom has five stamps which are same as five of the ten stamps to be selected. What is the probability that two stamps selected will not be one of the stamps that Tom has?
Choices:
3/7
6/17
5/18
7/15
Answer: A
Question: During the first two weeks of June, the total rainfall in Springdale was 40 inches. If the rainfall during the second week was 1.5 times the rainfall during the first week, what was the rainfall in inches during the second week of June?
Choices:
18
21
24
27
Answer: C
Question: On selling 17 balls at Rs. 720, there is a loss equal to the cost price of 5 balls. The cost price of a ball is:
Choices:
Rs. 50
Rs. 55
Rs. 60
Rs. 60
Answer: C
Question: A sock drawer contains 3 socks, each one a different solid color. The colors of the socks are red, orange and violet. If a person reaches into the drawer and pulls out two socks, how many different color combinations are possible in the selected pair of socks?
Choices:
15
21
3
42
Answer: C
Question: A shopkeeper buys two articles for Rs.1000 each and then sells them, making 60% profit on the first article and 60% loss on second article. Find the net profit or loss percent?
Choices:
278
282
202
600
Answer: D
Question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 265 m long?
Choices:
50
88
77
21
Answer: A
Question: -20 , -16 , -12 , -8 ....
In the sequence above, each term after the first is 3 greater than the preceding term. Which of the following could not be a term in the sequence?
Choices:
200
441
663
762
Answer: A
Question: If x and y are integers such that |y + 3| ≤ 3 and 2y – 3x + 6 = 0, what is the least possible value T of the product xy?
Choices:
-3
0
2
None of the above
Answer: B
Question: In a certain alphabet, 8 letters contain a dot and a straight line. 24 letters contain a straight line but do not contain a dot. If that alphabet has 40 letters, all of which contain either a dot or a straight line or both, how many letters contain a dot but do not contain a straight line?
Choices:
8
14
20
28
Answer: A
Question: A man invests Rs. 6,000 at the rate of 5% per annum. How much more should he invest at the rate of 8%, so that he can earn a total of 6% per annum?
Choices:
Rs. 1300
Rs. 1500
Rs. 3000
None of these
Answer: C
Question: When a certain number X is divided by 63, the remainder is 11. What is the remainder when X is divided by 9?
Choices:
2
4
5
6
Answer: A
Question: Three pipes of same capacity can fill a tank in 8 hours. If there are only two pipes of same capacity, the tank can be filled in.
Choices:
12 hours
16 hours
24 hours
None of these
Answer: A
Question: The ratio between the present ages of P and Q is 6:7. If Q is 4 years old than P, what will be the ratio of the ages of P and Q after 4 years?
Choices:
7:0
7:3
7:2
7:8
Answer: D
Question: Three unbiased coins are tossed. What is the probability of getting at most two heads?
Choices:
1/4
3/8
7/8
5/8
Answer: C
Question: Two numbers are in the ratio 3:5. If 9 be subtracted from each, they are in the ratio of 9:17. The first number is:
Choices:
36
88
55
221
Answer: A
Question: How many 4-digit numbers (ABCD) can be formed such that |A – D| = 2?
Choices:
1,900
1,800
1,600
1,500
Answer: B
Question: The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 45 kmph, find the speed of the stream?
Choices:
15
14
12
17
Answer: A
Question: Village X has a population of 68000, which is decreasing at the rate of 1200 per year. Village Y has a population of 42000, which is increasing at the rate of 800 per year .in how many years will the population of the two villages be equal?
Choices:
13
16
12
11
Answer: A
Question: Shweta buys a product at 25% discount rate. At what % over the cost price should she sell the product to make an overall 25% profit over the listed price?
Choices:
66.67%
66.63%
66.64%
66.61%
Answer: A
Question: If each year the population of the country grows by 10%, how many years will elapse before the population of the country doubles?
Choices:
4
5
7
8
Answer: D
Question: The ratio of the present ages of P and Q is 3:4. 5 years ago, the ratio of their ages was 5:7. Find the their present ages?
Choices:
30,40
50,60
20,40
10,20
Answer: A
Question: The number of cars present at a particular time was measured at 2,999 different locations on Tuesday and on Wednesday. The number of locations that had more cars on Wednesday was 10% higher than the number of locations that had more cars on Tuesday. How many of the locations had more cars on Tuesday?
Choices:
1,428
1,860
2,460
2,829
Answer: A
Question: On dividing a certain number by 234, we get 43 as remainder. If the same number is divided by 13, what will be the remainder?
Choices:
9
4
7
8
Answer: B
Question: The average mark of the students of a class in a particular exam is 80. If 5 students whose average mark in that exam is 50 are excluded, the average mark of the remaining will be 90. Find the number of students who wrote the exam.
Choices:
20
25
99
21
Answer: A
Question: Two pipes A and B can fill a tank in 4 and 5 hours respectively. If they are turned up alternately for one hour each, the time taken to fill the tank is?
Choices:
4 hrs 24 min
4 hrs 74 min
4 hrs 54 min
4 hrs 21 min
Answer: A
Question: The perimeters of two squares are 80 cm and 64 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares.
Choices:
44cm
46cm
48cm
49cm
Answer: C
Question: The work done by a woman in 8 hours is equal to the work done by a man in 6 hours and by a boy in 12 hours. If working 6 hours per day, 9 men can complete a work in 6 days then in how many days can 12 men, 12 women and 12 boys together finish the same work by working 8 hours per day?
Choices:
3 2⁄3 days
3 days
1 1⁄2 days
None of these
Answer: C
Question: What is the dividend? Divisor is 9, the quotient is 49, and the remainder is 52.
Choices:
0
1
546
493
Answer: D
Question: A, B and C started a business with investment of Rs. 8000. Rs. 20000 and Rs. 32000. What is the share of B in the total profit of Rs. 5400 at the end of 1 year?
Choices:
Rs. 720
Rs. 1800
Rs. 1650
None of these
Answer: B
Question: Integer m has 4 different prime factors and n has 3 different prime factors. If m and n has the greatest common factor of 15, how many different prime factors does mn have?
Choices:
5
6
7
8
Answer: A
Question: A, Band C can do a piece of work in 11 days, 5 days and 55 days respectively, working alone. How soon can the work be done if A is assisted by Band C on alternate days?
Choices:
5 days
9 days
10 days
11 days
Answer: A
Question: Which one of the given numbers is divisible by 11?
Choices:
8423718
8432718
4132788
4852718
Answer: C
Question: Cn = 2Cn-1 + 4 and Qn = 4Qn-1 + 8 for all n > 1. If C5 = Q4 and C7 = 316, what is the first value of n for which Qn is an integer?
Choices:
2
3
4
5
Answer: B
Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Choices:
2245
3450
4500
5184
Answer: D
Question: RAJA complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.
Choices:
250 km
224 km
255 km
260 km
Answer: B
Question: Find avrg speed if a man travels at speed of 18km/hr up and 24km/hr dawn at an altitude of 300m.
Choices:
26.8
27.8
20.5
21.8
Answer: C
Question: A train 800 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
Choices:
400
500
600
700
Answer: B
Question: If the sides of a triangle are given as 5*x, 5*(x+1), 5*(x+2), then what could be the possible value of the product of their sides.
Choices:
2000
3000
4000
5000
Answer: B
Question: Convert 350 inches into centimeter?
Choices:
820cm
850cm
889cm
854cm
Answer: C
Question: A certain box has 13 cards and each card has one of the integers from 1 to 13 inclusive. Each card has a different number. If 2 different cards are selected at random, what is the probability that the sum of the numbers written on the 2 cards is less than the average (arithmetic mean) of all the numbers written on the 13 cards?
Choices:
1/13
1/15
1/22
1/26
Answer: A
Question: If a clock takes 7seconds to strike 7, how long will the same clock take to strike 10?
Choices:
10.5
12.5
13.5
14.5
Answer: A
Question: If one cat eats 1.5 rats in 1.5 days, then in howmany days 3 cats will eat 3 rats??
Choices:
1 Day
3 Days
4 Days
5 Days
Answer: A
Question: A set of data consists of the following 4 numbers: 0, 2, 4, 6, and 8. Which two numbers, if added to create a set of 7 numbers, will result in a new standard deviation that is close to the standard deviation for the original 5 numbers?
Choices:
4 and 4
3 and 5
2 and 6
0 and 8
Answer: D