antoine-444/aqua_rat_dataset huggingface dataset:
Question: How many ways are there to arrange the letters in the word tenant ?
Choices:
360
3780
7560
11340
Answer: A
Question: A, B and C are partners. A receives 2/3 of profits, B and C dividing the remainder equally. A's income is increased by Rs.300 when the rate to profit rises from 5 to 7 percent. Find the Capital of B?
Choices:
2899
3750
2778
1991
Answer: B
Question: How many integers are between 2 and 57/7, inclusive?
Choices:
7
9
10
12
Answer: A
Question: In how many ways 4 Indians and 3 Englishmen can be seated in a row so that they are alternate?
Choices:
96
144
202
256
Answer: B
Question: On a map, 1.5 inches represent 24 miles. How many miles approximately is the distance if you measured 45 centimeters assuming that 1-inch is 2.54 centimeters?
Choices:
212
283
296
282.4
Answer: B
Question: The ratio between the sale price and the cost price of an article is 7:5. What is the ratio between the profit and the cost price of that article?
Choices:
2:5
3:2
9:4
4:2
Answer: A
Question: The sum of the ages of 4 children born at the intervals of 5 years each is 58 years. what is the age of the youngest child ?
Choices:
7
10
None of these
Cannot be determined
Answer: A
Question: The average of nine numbers is 17. The average of first four numbers is 20 and the average of last four numbers is 16. What is the middle number?
Choices:
B)8
C)9
D)10
E)11
Answer: B
Question: Two trains of length 120 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
Choices:
30 sec
40 sec
20 s
50 sec
Answer: C
Question: A certain company charges $6 per package to ship packages weighing less than 2 pounds each. For a package weighing 2 pounds or more, the company charges an initial fee of $6 plus $2 per pound. If the company charged $28 to ship a certain package, which of the following was the weight of the package, in pounds?
Choices:
9
11
13
15
Answer: B
Question: A family consists of grandparents, parents and three grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of the family?
Choices:
31 5/7 years
31 5/8 years
35 5/7 years
31 3/7 years
Answer: A
Question: 34.96 + 240.016 + 23.98 = ?
Choices:
298.956
289.496
289.469
298.964
Answer: A
Question: M is a certain set of numbers with an average (arithmetic mean) of 10 and a standard deviation of 2. Q is a subset of M consisting of 5 terms. Exactly 80% of the numbers in Q are located within 2 standard deviations from the average of M. Which of the following could Q be?
Choices:
{1, 6, 7, 10, 12}
{1, 5, 5, 10, 16}
{1, 5, 7, 10, 18}
{6, 6, 7, 10, 12}
Answer: A
Question: Mudit's age 48 years hence will be thrice his age four years ago. Find Mudit's present age?
Choices:
19
27
18
30
Answer: D
Question: The total marks obtained by a student in Mathematics and Physics is 60 and his score in Chemistry is 20 marks more than that in Physics. Find the average marks scored in Mathamatics and Chemistry together.
Choices:
40
29
26
20
Answer: A
Question: In Smithtown, the ratio of right-handed people to left-handed people is 3 to 1 and the ratio of men to women is 3 to 2. If the number of right-handed men is maximized, then what X percent of all the people in Smithtown are left-handed women?
Choices:
40%
25%
20%
10%
Answer: B
Question: A sink has 12 liters of water some quantity of water is taken out. If the remaining water is 6 liters less then the water taken out then quantity of water taken out is.
Choices:
6 liters
7 liters
8 liters
9 liters
Answer: D
Question: 10 men can cut 10 trees in 2 hours. If 2men leave the job, how many trees will be cut in 3 hours?
Choices:
12
16
18
20
Answer: A
Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Choices:
4567
4789
5678
y=5184
Answer: D
Question: A number Y is chosen at random from the numbers 1, -3, -1, 0, 1, 2, 3. What is the probability that |Y|<3?
Choices:
3/7
2/5
3/11
4/7
Answer: A
Question: Two spinning machines A and B can together produce 3,00,000 m of cloth in 10 hour, if machine B alone can produce the same amount of cloth in 15 hour, then how much cloth can machine A produce alone in 10 hour?
Choices:
1,00,000 m
1,50,000 m
50,000 m
None of these
Answer: A
Question: January 1, 2007 was Monday. What day of the week lies on Jan. 1, 2008?
Choices:
Monday
Tuesday
Friday
Sunday
Answer: B
Question: Amy has two decks of 54 cards each: Deck 1 and Deck 2. She takes 8 black cards from Deck 2 and adds them to Deck 1 and shuffles it thoroughly. She now picks a card from the newly formed pack of cards. If the probability of either picking a red ace or a king from the newly formed pack is greater than 1/8, what is the probability that Amy picks a black king or a red Jack from the new pack?
Choices:
1/8
1/9
1/10
1/12
Answer: D
Question: What is the value of the following expression?
(1/ (2^2 – 1)) + (1/ (4^2 – 1)) + (1/ (6^2 – 1)) + .... + (1/ (14^2 – 1))
Choices:
b. 10/19
c. 7/30
d. 11/21
e. 11/19
Answer: B
Question: 225 mtrs long yard, 26 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between 2consecutive trees?
Choices:
10
14
16
18
Answer: A
Question: Select the non termination decimal among the following.
Choices:
3/4
4/5
19/3
9/10
Answer: C
Question: The cost of 16 packets of salt,each weighing 900 grams is Rs. 28.What will be the cost of 27 packets,if each packet weight 1 kg ?
Choices:
Rs.52.50
Rs.58.50
Rs.64.75
None of these
Answer: A
Question: On the independence day, bananas were be equally distributed among the children in a school so that each child would get two bananas. On the particular day 330 children were absent and as a result each child got two extra bananas. Find the actual number of children in the school?
Choices:
287
197
660
720
Answer: C
Question: A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
Choices:
2 2 1/8 kmph
2 2 1/0 kmph
2 2 1/2 kmph
2 2 2/2 kmph
Answer: C
Question: What is the units digit of (44^4)(33^5)(21^6)?
Choices:
2
4
6
8
Answer: D
Question: In a 8*8 chess board, what is the total number of squares refer model?
Choices:
202
203
204
205
Answer: C
Question: A, B and C are entered into a partnership. A invested Rs.6500 for 6 months, B invested Rs.8400 for 5 months and C invested for Rs.10000 for 3 months. A is a working partner and gets 5% of the total profit for the same. Find the share of C in a total profit of Rs.7400.
Choices:
1900
10300
8600
8000
Answer: A
Question: At a small company, 61 percent of the employees are women, and 60 percent of the employees are married. If 2/3 of the men are single, what fraction of the women are married?
Choices:
1/3
9/20
47/61
5/7
Answer: C
Question: The perimeter of a semi circle is 144 cm then the radius is?
Choices:
28
61
86
21
Answer: A
Question: There are 45 apples and 40 oranges in stock and packs are to be filled with equal number of same type of fruits such that minimum number of packs are used. There are 20 places on the shelf to display fruits so what will be the number of empty places to display fruits?
Choices:
3
5
6
7
Answer: A
Question: A man can row upstream at 34 kmph and downstream at 48 kmph, and then find the speed of the man in still water?
Choices:
92
41
32
23
Answer: B
Question: A and B can separately do apiece of work in 20 and 15 days respectively. They worked together for 6 days, after which B was replaced by C. If -the work was finished in next 4 days, then the number of days in which C alone could do the work will be
Choices:
40
35
30
65
Answer: A
Question: If x < y < z and y-x > 3, where x is an even integer and y and z are odd integers, what is the least possible value of z - x?
Choices:
7
8
9
10
Answer: A
Question: How long does a train 110 m long running at the speed of 54 km/hr takes to cross a bridge 132 m length?
Choices:
12.1 sec
17.9 sec
16.13 sec
14.9 sec
Answer: C
Question: If in a cricket one day match, there were no wide balls, no wides, no extras and no overthrows.
What is the maximum number of runs that a batsman can score in 40 overs in an ideal case scenario?
Choices:
1651
1653
1323
None
Answer: C
Question: In a box of 12 pens, a total of 4 are defective. If a customer buys 3 pens selected at random from the box, what is the probability that neither pen will be defective?
Choices:
2/55
14/55
12/55
3/4
Answer: B
Question: A lent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 2640 in all from both of them as interest. The rate of interest per annum is?
Choices:
12%
74%
10%
45%
Answer: A
Question: Bob finishes the first half of an exam in one-seventh the time it takes him to finish the second half. If the whole exam takes him an hour, how many minutes does he spend on the first half of the exam?
Choices:
15
27
36
40
Answer: A
Question: Of the students at a certain high school, 90 percent took a course in algebra or geometry and 18 percent took courses in both. If the percent of students who took a course in algebra was 2 times the percent of students who took a course in geometry, what percent of the students took a course in algebra but not geometry?
Choices:
70%
65%
60%
54%
Answer: D
Question: If the sides of a triangle are 30 cm, 28 cm and 14 cm, what is its area?
Choices:
196 cm2
178 cm2
189 cm2
176 cm2
Answer: A
Question: If -4 < x < 7 and -7 < y < 3, which of the following specifies all the possible values of xy?
Choices:
-42 < xy < 24
-49 < xy < 28
-24 < xy < 21
-24 < xy < 24
Answer: B
Question: One cutting machine cuts 100 metal bars in 30 minutes.Another machine does the same job in 30 seconds.What time will it take if both machines are put on the same work ?
Choices:
29.5 seconds
30.0 seconds
30.5 seconds
30.7 seconds
Answer: A
Question: Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 7 sec. What is the length of the fast train?
Choices:
38 7/4 m
38 8/9 m
38 7/9 m
38 7/7 m
Answer: B
Question: Sum of two numbers is 15. Two times of the first exceeds by 5 from the three times of the other. Then the numbers will be?
Choices:
10, 5
7, 8
9, 6
1,5
Answer: A
Question: Suppose that f(x) is a function such that for every real number x,i)f(x)+f(1-x) = 10 and (ii) f(1+x) = 3+f(x). Then f(x)+f(-x)
must equal
Choices:
7
10
11
12
Answer: A
Question: Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. After how much time will the trains meet?
Choices:
20/7
20/9
20/21
20/8
Answer: A
Question: At an upscale fast-food restaurant, Shin can buy 3 burgers, 7 shakes, and one cola for $110. At the same place it would cost $164.50 for 4 burgers, 10 shakes, and one cola. How much would it cost for a meal of one burger, one shake, and one cola?
Choices:
$1
$31
$41
It cannot be determined
Answer: A
Question: A discount electronics store normally sells all merchandise at a discount of 5 percent to 45 percent off the suggested retail price. If, during a special sale, an additional 2 percent were to be deducted from the discount price, what would be the lowest possible price of an item costing $400 before any discount?
Choices:
$200.00
$215.80
$182.00
$215.60
Answer: D
Question: On the independence day, bananas were be equally distributed among the children in a school so that each child would get two bananas. On the particular day 370 children were absent and as a result each child got two extra bananas. Find the actual number of children in the school?
Choices:
287
197
740
720
Answer: C
Question: Coconuts were purchased at 150 per hundred and sold at 2 per coconut. If 2000 coconuts were sold, what was the total profit made?
Choices:
1000
1500
2000
None of these
Answer: A
Question: In a division sum, the remainder is 4 and the divisor is 3 times the quotient and is obtained by adding 2 to the thrice of the remainder. The dividend is:
Choices:
53
51
60
62
Answer: A
Question: 85 kg of a mixture containing milk and water in the ratio 27:7. How much more water is to be added to get a new mixture containing milk and water in the ratio 3:1?
Choices:
7kg
5kg
9kg
3kg
Answer: B
Question: A factory has a fixed cost of $45,000 a month, and a cost of $2.5 for every item produced. If the selling price of a single item is $5.5, what is the number of items must be sold monthly for the factory to cover its cost exactly?
Choices:
15,000
18,000
22,500
27,000
Answer: A
Question: The quantities S and T are positive and are related by the equation S=K/T, where k is a constant. If the value of S increases by 60 percent, then the value of T decreases by what percent?
Choices:
25%
50%
66 ²/₃%
75%
Answer: A
Question: The length of the bridge, which a train 150 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
16 m
245 m
19 m
225 m
Answer: D
Question: A, B and C rents a pasture for Rs.899. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay?
Choices:
279
267
255
552
Answer: A
Question: Two cars start at the same time from opposite ends of a highway that is 500 miles long. One car is riding at 40 mph and the second car is riding at 60 mph. How long after they begin will they meet?
Choices:
2
3
4
5
Answer: D
Question: In a hotel we can order two types of varieties, but we can make 5 more varieties in home. One can choose the four varieties with two from hotel as must. Find how many ways one can order.
Choices:
10
56
28
29
Answer: A
Question: The denominator of a fraction is 1 less than twice the numerator. If the numerator and denominator are both increased by 1, the fraction becomes 3/5. Find the fraction?
Choices:
3/5
4/7
5/9
None of these
Answer: C
Question: The difference between compound and simple interest on a certain sum of money for 3 years at 6 2/3% p.a is Rs.184. Find the sum?
Choices:
Rs.14200
Rs.17520
Rs.13500
Rs.14500
Answer: C
Question: All the water in container A which was filled to its brim was poured into two containers B and C. The quantity of water in container B was 62.5% less than the capacity of container A. If 153 liters was now transferred from C to B, then both the containers would have equal quantities of water. What was the initial quantity of water in container A?
Choices:
1198
281
1224
282
Answer: C
Question: Consider the following sets:
L = {3, 4, 5, 5, 6, 7},
M = {2, 2, 2, 8, 8, 8},
N = {15, 15, 15, 15, 15, 15},
Rank those three sets from least standard deviation to greatest standard deviation.
Choices:
M, L, N
M, N, L
N, L, M
N, M, L
Answer: C
Question: If two boys starting from same point, walking in the opposite directions with 4km/hr and 2km/hr as average speeds respectively. Then the distance between them after 6 hours is?
Choices:
33
34
35
36
Answer: D
Question: What number has a 5:1 ratio to the number 9?
Choices:
45
88
52
12
Answer: A
Question: Find the odd man out. 362, 482, 551, 263, 344, 284
Choices:
482
551
344
None of these
Answer: C
Question: The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 650 resolutions?
Choices:
704 m
915.2 m
278 m
927 m
Answer: B
Question: A certain sum of money doubles itself in 10 years in how much many years will it trible itself at the same rate?
Choices:
20
17
18
25
Answer: A
Question: During a sale of 20% on everything in a store, a kid is successful in convincing the store manager to give him 20 candies for the discounted price of 10 candies. The store still makes a profit of 12% on this sale. What is the mark up percentage on each candy?
Choices:
80%
75%
66+2/3%
55%
Answer: A
Question: The diagonal of a rectangle is 41 cm and its area is 20 sq. cm. The perimeter of the rectangle must be:
Choices:
18
20
21
46
Answer: A
Question: The triplicate ratio of 3:5 is?
Choices:
27:125
1:34
3:64
5:64
Answer: A
Question: A bag marked at $80 is sold for $68. The rate of discount is?
Choices:
15%
20%
25%
30%
Answer: A
Question: A certain sum of money at simple interest amounted Rs.780 in 5 years at 4% per annum, find the sum?
Choices:
268
198
650
168
Answer: C
Question: In a certain game of shooting the points in each round for the first,second,third and fourth position were 10,5,2,1 . No other points were given. Daniel participated in several rounds in the competition and the product of his score was 1000. In How many Rounds did he participate?
Choices:
50
Cannot be determined
105
25
Answer: B
Question: A train passes a station platform in 30 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
150 m
260 m
280 m
380 m
Answer: A
Question: In the xy-plane, a triangle has vertices (0,0), (4,0) and (4,10). If a point (a,b) is selected at random from the triangular region, What is the probability that a-b>0?
Choices:
1/3
1/2
2/3
2/5
Answer: D
Question: Baby Isabel plays with blocks. Each block is 4.5 inches tall. She has a collection of 33 blocks. If she could stack all of the blocks up one on top of the other, how many inches tall would her tower of blocks be?
Choices:
90.9"
106.34"
120.5"
148.5"
Answer: D
Question: P works 25% more efficiently than Q and Q works 50% more efficiently than R. To complete a certain project, P alone takes 50 days less than Q alone. If, in this project P alone works for 60 days and then Q alone works for 130 days, in how many days can R alone complete the remaining work?
Choices:
83.6 days
100 days
150 days
80 days
Answer: A
Question: The MegaTek Corporation is displaying its distribution of employees by department in a circle graph. The size of each sector of the graph representing a department is proportional to the percentage of total employees in that department. If the section of the circle graph representing the manufacturing department takes up 54° of the circle, what percentage of MegaTek employees are in manufacturing?
Choices:
15%
30%
35%
72%
Answer: A
Question: What will come in place of the x in the following Number series? 18, 22, X, 46 ,78, 142
Choices:
56
30
87
98
Answer: B
Question: Jamshid and Irwin decided to make up their own version of basketball. In addition to being able to score 2-point baskets, they created ways to score 5-, 11-, and 13-point baskets. If at halftime the product of the point values of Irwin’s baskets was 2,420, how many 11-point baskets Q did Irwin score?
Choices:
1
2
3
4
Answer: B
Question: A batsman scored 80 runs which included 2 boundaries and 2 sixes. What percent of his total score did he make by running between the wickets?
Choices:
500/11
75%
55%
35%
Answer: B
Question: The simple Interest on a certain sum of money at the rate of 4% p.a. for 5 years is Rs. 1680. At what rate of interest the same amount of interest can be received on the same sum after 4 years ?
Choices:
5%
7%
8%
9%
Answer: A
Question: If x-y=8, which of the following must be true?
I. If x is negative, y must be negative
II. If x is positive, y must be positive
III. Both x and y are positive
Choices:
I only
III only
I and II
II and III
Answer: A
Question: 4 people are sitting in a 4 seat row watching a football game. At halftime they all get up. When they return, they each randomly sit down on one of the 5 chairs. What is the likelihood that none of the 4 end up sitting in the same chair that they sat in during the first half?
Choices:
3/4
15/24
18/24
21/24
Answer: A
Question: Find compound interest on Rs. 7500 at 4% per year for 2 years, compounded annually.
Choices:
712
412
512
612
Answer: D
Question: For any integer n greater than 1, n* denotes the product of all the integers from 1 to n, inclusive. How many prime numbers R are there between 6* + 2 and 6* + 6, inclusive?
Choices:
None
Two
Three
Four
Answer: A
Question: The simple interest on a sum of money will be Rs.800 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year?
Choices:
1600
1200
2699
2771
Answer: A
Question: If y is the smallest positive integer such that 630 multiplied by y is the square of an integer, then y must be
Choices:
50
60
70
140
Answer: C
Question: If 15 students in a class average 80% on an English exam and 10 students average 90% on the same exam, what is the average in percent for all 25 students?
Choices:
83 1⁄2%
84%
85%
86 2⁄3%
Answer: B
Question: A shopkeeper first raises the price of Jewellery by x% then he decreases the new price by x%. After such up down cycle, the price of a Jewellery decreased by Rs. 21025. After a second up down cycle the Jewellery was sold for Rs. 484416. What was the original price of the jewellery.2
Choices:
Rs. 6,00,625
Rs. 525625
Rs. 5,00,000
None of these
Answer: B
Question: The average monthly income of A and B is Rs. 5050. The average monthly income of B and C is Rs. 6250 and the average monthly income of A and C is Rs. 5200. What is the monthly income of A?
Choices:
1500
2000
3000
4000
Answer: D
Question: An ice cream store received shipments of ingredients on Tuesday and Wednesday. Tuesday's shipment had 6 different packages, with an average (arithmetic mean) of 9 and 2/3 pounds. Wednesday's shipment included 7 packages, weighing an average of 9 and 3/7 pounds. What was the average package weight, in pounds, of the shipments received on both days?
Choices:
10 and 1/10 pounds
10 and 2/5 pounds
11 pounds
124/13 pounds
Answer: D
Question: If w/x = 2/3 and w/y = 6/15, then (x + y)/y =
Choices:
6/5
7/5
8/5
9/5
Answer: C
Question: How many unique positive odd integers less than 110 are equal to the product of a positive multiple of 5 and an odd number?
Choices:
6
11
12
15
Answer: B
Question: A cycle is bought for Rs.670 and sold for Rs.780, find the gain percent?
Choices:
20%
16%
19%
80%
Answer: B
Question: John paid a sum of money for purchasing 30 pens, which he recovered in full when he sold 20 of them. What was his percentage of profit or loss per pen?
Choices:
50%
40%
30%
45%
Answer: A
Question: A swimmer can swim in still water at 4 km/h. If the speed of the water current is 2 km/h, how many hours will the swimmer take to swim against the current for 3 km?
Choices:
1.5
2.0
2.25
2.5
Answer: A
Question: Bradley owns b video game cartridges. If Bradley’s total is one-half the total owned by James and four times the total owned by Charlie, how many video game cartridges do the three of them own altogether, in terms of b?
Choices:
(17/4)b
(13/4)b
(19/12)b
(7/12)b
Answer: B
Question: If n is a prime number greater than 19, what is the remainder when n^2 is divided by 12 ?
Choices:
1
2
3
5
Answer: A
Question: Four of the five parts numbered (a) ,(b) ,(c) (d) and (e) in the following equation are exactly equal. Which of the parts is not equal to the other four? The number of that part is the answer.
Choices:
(a – b)(2a – 3b) + 4ab
(a – b)2 + (a2 + ab + 2b2)
(a + b)2 + (a2 + 2b2 – 3ab)
(a + b)(a – b) + (2a2 – ab + 4b2)
Answer: D
Question: David obtained 76, 65, 82, 67 and 85 marks (out of 100) in English, Mathematics,Physics, Chemistry and Biology What are his average marks ?
Choices:
75
26
97
27
Answer: A
Question: If 6th March, 2005 is Monday, what was the day of the week on 6th March, 2004?
Choices:
Sunday
Monday
Friday
Thursday
Answer: A
Question: Sum of two number is 50 & sum of three reciprocal is 1/12 so find these two numbers
Choices:
30 & 26
30 & 24
30 & 22
30 & 20
Answer: D
Question: John is going with 7 friends on a trip to Paris for spring break. Airfare and hotel costs a total of $5600.00 for the group of 8 friends. How much does each person have to pay for their hotel and airfare?
Choices:
$600
$650
$680
$700
Answer: D
Question: A can do a piece of work in 6days, and B can do it in 5days. If C, who can do the work in 12days, joins them, how long will they take to complete the work?
Choices:
3.5days
2.2days
4days
5.7days
Answer: B
Question: A and B can finish a work in 16 days while A alone can do the same work in 24 days. In how many days B alone will complete the work?
Choices:
48 days
64 days
24 days
36 days
Answer: A
Question: Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is?
Choices:
287
48
277
21
Answer: B
Question: How many integers n are there such that 1< 5n +5 < 60?
Choices:
7
11
13
12
Answer: B
Question: A house wife saved $4 in buying an item on sale. If she spent $28 for the item, approximately how much percent she saved in the transaction?
Choices:
13%
10%
11%
12%
Answer: A
Question: From 6 positive numbers and 6 negative numbers, how many groups F of 4 numbers, yielding a positive product, can be formed?
Choices:
625
30
960
255
Answer: D
Question: If the first and second letters in the word DEPRESSION' were interchanged, also the third and the fourth letters, the fifth and the sixth letters and so on, which of the following would be the seventh letter from the right ?
Choices:
K
I
P
U
Answer: C
Question: One fourth of one third of two fifth of a number is 17. What will be 40% of that number
Choices:
204
180
200
250
Answer: A
Question: If p and q are positive integers and q ≠ 1, then pq(q −5) is
Choices:
pq^2+pq
pq^2-pq
pq^2-5pq
pq^2
Answer: C
Question: All the water in container A which was filled to its brim was poured into two containers B and C. The quantity of water in container B was 62.5% less than the capacity of container A. If 148 liters was now transferred from C to B, then both the containers would have equal quantities of water. What was the initial quantity of water in container A?
Choices:
1184
1126
1130
1254
Answer: A
Question: A car covers a distance of 840 km in 6 ½ hours. Find its speed?
Choices:
187 kmph
164 kmph
140 kmph
106 kmph
Answer: C
Question: The diagonals of a rhombus are 14 cm and 20 cm. Find its area?
Choices:
140
150
238
31
Answer: A
Question: If the average (arithmetic mean) of a list of numbers is 12 and the standard deviation of that list of numbers is 1.3, then which of the following numbers is more than two standard deviations from the mean?
I. 14.5
II. 15.3
III. 9.5
Choices:
I and II only
II only
III only
I and III only
Answer: B
Question: Drum X is 1/2 full of oil and drum Y, which has twice the capacity of drum X, is 1/5 full of oil. If all of the oil in drum X is poured into drum Y, then drum Y will be filled to what capacity?
Choices:
7/10
9/10
9/20
13/20
Answer: C
Question: A passenger sitting near the window in a train moving at 50 km/h, noticed that it took 3 sec. for the oncoming train to pass by. What was the speed of the oncoming train if the length of the oncoming train was 75 metres?
Choices:
b)52km/h
c)56km/h
d)60km/h
e)40km/h
Answer: D
Question: An unbiased die is tossed .find the probability of getting a multiple of 3
Choices:
1/3
2/3
7/3
3/7
Answer: A
Question: 4, 6, 9, 13.50, 20.25, (...)
Choices:
60.75
58
31.528
30.375
Answer: D
Question: A money lender lends Rs.2000 for six months at 20% p.a. rate. It the interest is reckoned quarterly than find the amount given after time limit?
Choices:
2205
8275
2872
2282
Answer: A
Question: A man invested Rs. 1552 in a stock at 97 to obtain an income of Rs. 140. The dividend from the stock is :
Choices:
8.75 %
9.7 %
None of these
Cannot be determined
Answer: A
Question: A train 100 m long crosses a platform 125 m long in 15 sec; find the speed of the train?
Choices:
14 kmph
54 kmph
58 kmph
24 kmph
Answer: B
Question: A train passes a station platform in 36 sec and a man standing on the platform in 23 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Choices:
240 m
195 m
176 m
186 m
Answer: B
Question: A jewelry store purchased a pair of earrings for $240 and was selling it at a price that equaled the purchase price of the earrings plus a markup that was 25 percent of the selling price. After some time a jewelry store owner decided to decrease the selling price by 20 percent. What was the jewelry store's gross profit on this sale?
Choices:
$2
$10
$16
$18
Answer: C
Question: The difference between a 8 digit number and the number formed by reversing its digit is not a multiple of
Choices:
5
296297
888891
2666673
Answer: A
Question: Nitin borrowed some money at the rate of 6% p.a. for the first three years,9% p.a. for the next five years and 13% p.a. for the period beyond eight years.If the total interest paid by him at the end of eleven years is Rs. 8160,how much money did he borrow ?
Choices:
Rs. 8000
Rs. 12,000
Data inadequate
None
Answer: A
Question: How many multiples of 4 are there between 20 and 196 ?
Choices:
42
52
43
51
Answer: C
Question: A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?
Choices:
5/9
5/6
5/3
5/1
Answer: A
Question: A coin is tossed 8 times. What is the probability of getting exactly 7 heads?
Choices:
1/16
1/32
1/64
1/128
Answer: B
Question: In an election between two candidates, 20% of votes are were declares invalid. First candidate got 480 votes which were 60% of the total valid votes . The total number of votes enrolled in that election was
Choices:
3000 votes
3500 votes
3600 votes
3700 votes
Answer: A
Question: After increasing 20% in the price of a Book costs Rs.240. Find the actual cost of an article?
Choices:
150
200
220
250
Answer: B
Question: The owner of a furniture shop charges his customer 20% more than the cost price. If a customer paid Rs. 8400 for a computer table, then what was the cost price of the computer table?
Choices:
Rs.6727
Rs.6908
Rs.6725
Rs.7000
Answer: D
Question: 6^5 is equal to which of the following?
Choices:
7,776
9,660
2,662
1,608
Answer: A
Question: Set A contains all the even numbers between 42 and 90 inclusive. Set B contains all the even numbers between 62 and 110 inclusive. What is the difference between the sum of elements of set B and the sum of the elements of set A?
Choices:
350
400
450
500
Answer: D
Question: Bus 1 and Bus 2 run between cities A and B. Bus 1 leaves city A at the same time Bus 2 leaves city B,
each at a constant rate of speed. Their first meeting is 80 miles from city A. After reaching their
respective destinations and immediately turning around, their second meeting is 30 miles from city B.
What is the distance in miles between city A and city B?
Choices:
120
125
150
210
Answer: D
Question: Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a man in the slower train in 27 seconds. Find the length of the faster train?
Choices:
270 m
290 m
278 m
275 m
Answer: A
Question: How many of the factors of 1400 are divisible by 2?
Choices:
15
18
21
24
Answer: B
Question: Andrew travelling to 7 cities. Gasoline prices varied from city to city. $1.75, $1.61, $1.79, $2.11, $1.96, $2.09, $1.85. What is the median gasoline price?
Choices:
$1.85
$1.92
$2.13
$2.15
Answer: A
Question: Simplify: 7005-7000+10
Choices:
6305
6501
6508
None of them
Answer: A
Question: a bag of blue and green colored marbles has 50% green marbles, with a total of 40 marbles. how many green marbles need to be added to bring their percentage in the bag up to 80%?
Choices:
60
42
24
80
Answer: A
Question: A Bullock cart can travel at 10 kmph uphill road and downhill road 20 kmph. He takes 3 hours to row from lower point A to upper point B and back to A. What is the total distance traveled by bullock card in 3 hours? He must return back to base point A in remaining time.
Choices:
20
30
40
60
Answer: C
Question: A and B can do a work in 12 days, B and C in 30 days and C and A in 36 days. In how many days will the work be completed, if all three of them work together?
Choices:
180/15
180/13
180/12
180/11
Answer: B
Question: A boy has 11 trousers and 11 shirts. In how many different ways can he select a trouser and a shirt?
Choices:
121ways
90ways
100ways
139ways
Answer: A
Question: If 3<x<6<y<9, then what is the greatest possible positive integer difference of x and y?
Choices:
4
5
6
7
Answer: B
Question: If integers ending in zero are excluded, what is the unit digit of the product of the even integers from 302 to 398, inclusive?
Choices:
4
6
8
10
Answer: B
Question: The simple interest on a sum of money will be Rs.1200 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year?
Choices:
3799
1200
2400
1732
Answer: C
Question: 4, 12, 48, 240, 1440, (...)
Choices:
10080
6200
10020
12500
Answer: A
Question: A confectioner decides to sell all of his pastry due to the coming holiday. His pastry goods are equally divided among a group of 50 regular customers. If only 49 customers come to the bakery, each one will receive 6 less pastry goods. How much pastry does the confectioner needs to sell?
Choices:
500.
432.
502.
522.
Answer: A
Question: For all positive integers m, [m]=3m when m is odd and [m]=(1/2)*m when m is even. What is [5]*[6] equivalent to?
Choices:
[30]
[15]
[5]
[50]
Answer: B
Question: Eight men, ten women and six boys together can complete a piece of work in eight days. In how many days can 20 women complete the same work if 20 men can complete it in 12 days?
Choices:
77m
66m
22m
88m
Answer: C
Question: In 2005, 25 percent of the math department’s 40 students were female, and in 2007, 40 percent of the math department’s 85 students were female. What was the percent increase from 2005 to 2007 in the number of female students in the department?
Choices:
50%
62.5%
115%
240%
Answer: D
Question: In a village there are 4 programs organised for the festival. The festival occurs for 2 days. In how many ways that the 2 programs can be divided for 2 days?
Choices:
10
6
5
2
Answer: B
Question: Pipes A and B fill a tank in 5 and 6 hours respectively. Pipe C empties the tank in 12 hours, if you open all the three pipes together this tank will be filled in?
Choices:
3 9/17 hours
1.25 hours
4 7/17 hours
None of these
Answer: A
Question: In a class of 50 students the number of females is 2 more that 5 times the male number .How many males and females are there in the class
Choices:
42, 8
8,42
8,50
40,10
Answer: A
Question: Jim wishes to buy 3 gifts that cost 15 dollars, 9 dollars, and 8 dollars. He has 1/4 of the money
he needs. How much more money must he earn in order to buy the gifts?
Choices:
$47
$7
$17
$24
Answer: D
Question: A train 240 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
Choices:
77 kmph
54 kmph
71 kmph
88 kmph
Answer: B
Question: What percent is 25 gm of 1 kg?
Choices:
1%
1.5%
2.5%
3%
Answer: C
Question: The price of a T.V. set worth Rs. 30000 is to be paid in 20 installments of Rs. 1000 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?
Choices:
26699
29000
19000
26711
Answer: B
Question: nd the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 12 cm?
Choices:
239cm2
267cm2
230cm2
228cm2
Answer: D
Question: Yesterday, a pie shop sold 6 apple pies, 5 peach pies, and 6 pumpkin pies. How many pies did the shop sell in all?
Choices:
37
13
17
32
Answer: C
Question: From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first is a red card and the second is a king is?
Choices:
1/26
1/29
1/37
1/97
Answer: A
Question: A and B starts a business with Rs.8000 each, and after 3 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months?
Choices:
22:13
23:12
12:7
11:10
Answer: C
Question: The ratio of number of boys and girls in a school is 2:5. If there are 210 students in the school, find the number of girls in the school?
Choices:
150
300
370
280
Answer: A
Question: Hector runs a one-product widget shop. Each month, his fixed costs, whether he produces anything or not, amount to x dollars. The marginal cost of producing and selling one widget is a constant y dollars, regardless of the number he produces. He generally can sell widgets for t dollars each. What is the minimum number of widgets he must produce, assuming he sells every widget he produces, to break even (neither make a profit nor incur a loss) in a given month?
Choices:
x/(t - y)
x
x/t
x/y
Answer: A
Question: Five drainage pipes, each draining water from a pool at the same constant rate, together can drain a certain pool in 12 days. How many additional pipes, each draining water at the same constant rate, will be needed to drain the pool in 6 days?
Choices:
5
10
12
15
Answer: A
Question: The salaries of A and B together amount to $2000. A spends 95% of his salary and B, 85% of his. If now, their savings are the same, what is A's salary?
Choices:
$1250
$2500
$1500
$1200
Answer: C
Question: If 213 × 16 = 3408, then 0.016 × 2.13 is equal to :
Choices:
3.408
34.08
340.8
0.03408
Answer: D
Question: A, B and C work on a task. To complete the task alone, B takes twice the time that A would take to complete the task alone and 1/5rd the time that C would take to complete the task alone. If B actually worked for half the number of days that A worked and 3/2 times the number of days that C worked, what proportion of the total work was completed by B?
Choices:
2/9
9/49
7/19
25/126
Answer: D
Question: A part-time employee whose hourly wage was decreased by 20 percent decided to increase the number of hours worked per week so that the employee's total income did not change. By what percent T should the number of hours worked be increased?
Choices:
20%
25%
50%
100%
Answer: B
Question: A survey was conducted to find out how many people in a housing colony of 140 residents could swim, dance and drive a car. It was found that the number of people who could not swim was 89, the number of people who could not dance was 100 and that the number of people who could not drive a car was 91. If the number of people who could do at least two of these things, was found to be 37 and the number of people who could do all these things was found to be 6, how many people could not do any of these things?
Choices:
43
45
46
48
Answer: A
Question: If m > 0, which of the following could be true?
I. m^3 > m^2
II. m^2 = m
III. m^2 > m^3
Choices:
III
IIIII
All of the above
None of the above
Answer: C
Question: Find the odd man out. 187, 264, 336, 473, 682, 781
Choices:
336
781
682
473
Answer: A
Question: Two friends A and B apply for a job in the same company. The chances of A getting selected is 2/5 and that of B is 4/7. What is the probability that both of them get selected?
Choices:
8/35
27/35
30/35
None of these
Answer: A
Question: 4 boys and 2 girls are to be seated in a row in such a way that the two girls are always together. In how many different ways can they be seated?
Choices:
720
148
240
None of these
Answer: C
Question: If each permutation of the digits 1,2,3,4,5,6 are listed in the increasing order of magnitude, then 289thterm will be
Choices:
321546
321456
341256
None of these
Answer: C
Question: Siddharth wants to borrow Rs.5000 at rate of interest 6% p.a. at S.I and lend the same amount at C.I at same rate of interest for two years. What would be his income in the above transaction?
Choices:
s.21.29
s.22.29
s.18.00
s.21.12
Answer: C
Question: If the price of a certain computer increased 30 percent from a dollars to 351 dollars, then 2a =
Choices:
540
619
649
700
Answer: A
Question: A man has a certain number of small boxes to pack into parcles. If he packs 3, 4, 5 or 6 in a parcel, he is left with one over; if he packs 7 in a parcle, none is left over. What is the number of boxes, he may have to pack?
Choices:
301
309
400
450
Answer: A
Question: A completes a work in 12 days and B complete the same work in 36 days. If both of them work together, then the number of days required to complete the work will be?
Choices:
9 days
21 days
22 days
24 days
Answer: A
Question: Average of five numbers is 26. If one number is excluded the average becomes 28. The excluded number is
Choices:
12
16
20
18
Answer: D
Question: All the faces of cubes are painted with red colour. It is then cut into 64 equal small cubes.Find How many small cubes are there whose two adjacent faces are coloured red ?
Choices:
8
16
24
4
Answer: C
Question: Hitesh is 40 years old and Ronnie is- 60 years old. How many years ago was the ratio of their ages 3:5 ?
Choices:
10 years
20 years
15 years
25 years
Answer: A
Question: Evaluate the expression
m - (m - n) : (-2) ⋅ (-5) when m = -4, n = -6
Choices:
9
5
7
6
Answer: A
Question: The average age of three boys is 15 years and their ages are in proportion 3:5:7. What is the age in years of the youngest boy?
Choices:
9
7
5
4
Answer: A
Question: A certain board game has a row of squares numbered 1 to 100. If a game piece is placed on a random square and then moved 13 consecutive spaces in a random direction, what is the probability the piece ends no more than 13 spaces from the square numbered 49?
Choices:
27%
30%
37%
17%
Answer: A
Question: Walking at the rate of 4 kmph a man cover certain distance in 2 hr 45 min. Running at a speed of 16.5 kmph the man will cover the same distance in.
Choices:
40 min
60 min
30 min
45 min
Answer: A
Question: A garrison of 3300 men had provisions for 32 days, when given at the rate of 860 gms per head. At the end of 7 days, a reinforcement arrives and it was for that the provisions wi1l last 17 days more, when given at the rate of 826 gms per head, What is the strength of the reinforcement?
Choices:
1600
1300
1500
1700
Answer: D
Question: In a friendship gang Aravind has 2 gang, in how many ways can he invite one or more of the gang to his house?
Choices:
49
3
87
36
Answer: B
Question: Shyam visited Ram during his brief vacation. In the mornings they both would go for yoga. In the
evenings they would play tennis. To have more fun, they indulge only in one activity per day, i.e.
either they went for yoga or played tennis each day. There were days when they were lazy and
stayed home all day long. There were 24 mornings when they did nothing, 14 evenings when they stayed at home, and a total of 22 days when they did yoga or played tennis. For how many days Shyam stayed with Ram?
Choices:
24
30
None of these
Cannot be determined
Answer: B
Question: A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of A?
Choices:
240
727
199
212
Answer: A
Question: If 36 men do a work in 70 days, in how many days will 40 men do it?
Choices:
63
65
66
67
Answer: A
Question: During a certain season, a team won 85 percent of its first 100 games and 50 percent of its remaining games. If the team won 70 percent of its games for the entire season, what was the total number of games that the team played?
Choices:
175
156
150
105
Answer: A
Question: The sum of all two digit numbers divisible by 5 is
Choices:
945
745
645
845
Answer: A
Question: Find the principle on a certain sum of money at 5% per annum for 3 1/5 years if the amount being Rs.1160?
Choices:
Rs.1000
Rs.1010
Rs.10000
None of these
Answer: A
Question: A pump will fill a tank in 3 hours. Because of a leak in the tank, it took 3 hours 30 min to fill the tank. In what time the leak can drain out all the water of the tank and will make tank empty ?
Choices:
21 hrs
22 hrs
23 hrs
24 hrs
Answer: A
Question: At present the ratio between the ages of Arun and Deepak is 4:3. After 6years, Arun's age will be 26 years. What is the age of Deepak at present?
Choices:
15
23
12
25
Answer: A
Question: A class consists of 100 students, 20 of them are girls and 80 boys; 20 of them are rich and remaining poor; 40 of them are fair complexioned. The probability of selecting a fair complexioned rich girl is
Choices:
2/125
1/56
1/54
1/53
Answer: A
Question: Express 25 mps in kmph?
Choices:
88
90
21
24
Answer: B
Question: At Company K, 15 percent of the employees are secretaries and 60 percent are salespeople. If there are 25 other employees of Company K, how many employees does Company K have?
Choices:
180
190
200
100
Answer: D
Question: A committee of 6 is chosen from 5 men and 5 women so as to contain at least 2 men and 3 women. How many different committees could be formed?
Choices:
150
1404
2620
3510
Answer: A
Question: How many even multiples of 45 are there between 449 and 901?
Choices:
6
9
10
11
Answer: A
Question: If a number T between 0 and 1 is selected at random, which of the following will the number most likely be between?
Choices:
3/20 and 1/5
1/5 and 1/4
1/4 and 3/10
3/10 and 1/2
Answer: D
Question: How many ways are there to split a group of 8 girls into two groups of 4 girls each? (The order of the groups does not matter)
Choices:
40
35
45
50
Answer: B
Question: 49 members attended the party. In that 22 are males, 27 are females. The shake hands are done between males, females, male and female. Total 12 people given shake hands. How many such kinds of such shake hands are possible?
Choices:
66
26
29
11
Answer: A
Question: A Laptop was sold at a loss of 10%. If it was sold for Rs.5000 more, there would have been a gain of 10%. What is the cost price?
Choices:
Rs.21000
Rs.22000
Rs.20000
Rs.25000
Answer: D
Question: What is the remainder when 1271 * 1276 * 1277 *1285 is divided by 12?
Choices:
1
11
9
4
Answer: D
Question: A reading list for a certain course consists of 10 books, of which 4 are poems and the rest are novels. Each student is required to read a selection of 4 books from the list, including at most 1 novels. How many selections of 4 books satisfy the requirements?
Choices:
115
130
144
195
Answer: D
Question: Martin has to secure 80% marks to clear his exam of class 9th.
He got 200 marks and failed by 200 marks.
What is the maximum marks ?
Choices:
500
510
515
525
Answer: A
Question: 96 can be expressed as a product of primes as
Choices:
2 × 3 × 3 × 3 × 7 × 7
2 × 2 × 2 × 2 × 2 × 3
2 × 3 × 3 × 3 × 3 × 7
None of these
Answer: B
Question: S is the infinite sequence S1 = 2, S2 = 22, S3 = 222,...Sk = Sk–1 + 2(10k–1). If p is the sum of the first 30 terms of S, what is the tenth digit of p, counting right to left from the units digit?
Choices:
2
4
6
9
Answer: C
Question: Vijay bought 160 shirts at the rate of Rs. 225 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:
Rs.229
Rs.208
Rs.285
Rs.229
Answer: C
Question: An accurate clock shows 8 o'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 1 o'clock in the afternoon?
Choices:
60
90
120
150
Answer: D
Question: In a throw of dice what is the probability of geÆ«ng number greater than 4
Choices:
1/3
1/5
1/6
None of these
Answer: A
Question: A certain sum of money at simple interest amounted Rs.840 in 10 years at 3% per annum, find the sum?
Choices:
277
229
646
261
Answer: C
Question: If x+y=5, and x=15/y, what is the value of x^2+y^2?
Choices:
14
16
18
10
Answer: D
Question: If k is the greatest positive integer such that 3^k is a divisor of 24! then k =
Choices:
4
5
6
10
Answer: D
Question: The sum of three consecutive multiples of 3 is 72. What is the largest number?
Choices:
24
27
36
39
Answer: B
Question: 3 boys and 7 girls can complete John work in 10 days . But 4 boys and 6 girls need 8 days to complete the same work . In how many days will 10 girls complete the same work?
Choices:
20 days
40 days
56 days
65 days
Answer: B
Question: What is the greatest possible (straight line) distance, between any two points on a hemisphere of radius 4?
Choices:
0.8
8
18
π
Answer: B
Question: The pilot of a small aircraft uses 60 gallons of fuel to fly 300 miles. At this rate, how many gallons of fuel are needed for a 700 mile flight?
Choices:
140
160
170
175
Answer: A
Question: If the integer n has exactly four positive divisors, including 1 and n, how many positive divisors does n^3 have?
Choices:
16
10
20
9
Answer: A
Question: An escalator moves towards the top level at the rate of 12 ft.sec and its length is 160 feet. If a person walks on the moving escalator at the rate of 8 feet per second towards the top level, how much time does he take to cover the entire length.
Choices:
8sec
9sec
7sec
12sec
Answer: A
Question: The value of 489.1375 x 0.0483 x 1.956/0.0873 x 92.581 x 99.749 is closest to:
Choices:
0.08
0.07
0.06
0.05
Answer: C
Question: The simple form of the ratio 8/5:2/3 is?
Choices:
12:5
7:12
5:7
4:7
Answer: A
Question: John has on his shelf two books of poetry, six 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
4/15
Answer: D