antoine-444/aqua_rat_dataset huggingface dataset:
Question: What is the next number of the following sequence
3,5,15,75,?
Choices:
1125
1000
1100
1500
Answer: A
Question: Find out the number of ways in which 6 rings of different types can be worn in 3 fingers?
Choices:
729
456
354
163
Answer: A
Question: If the sum of one-half of a number exceeds one-third of that number by 7 1/3, the number is:
Choices:
18
20
25
30
Answer: B
Question: A relay has a series of 5 circuits in a line. The even-numbered circuits are control circuits; the odd are buffer circuits. If both a control circuit and the buffer circuit immediately following it both fail in that order, then the relay fails. The probability of circuit one failing is 3/8; circuit two, 1/8; circuit three, 3/10; circuit four, 3/4; and circuit five, 2/5 .What is the probability that the relay fails?
Choices:
3/10
261/800
35/80
497/800
Answer: B
Question: Coins are to be put into 12 pockets so that each pocket contains at least one coin. At most 8 of the pockets are to contain the same number of coins, and no two of the remaining pockets are to contain an equal number of coins. What is the least possible number of coins needed for the pockets?
Choices:
13
17
22
28
Answer: C
Question: The sum of n terms of a series in A.P is 6n2 + 6n. What is the 4 th term of the series?
Choices:
49
60
48
50
Answer: C
Question: In covering a distance of 120 km, A takes 2 hours more than B. If A doubles his speed, then he would take 1 hour less than B. A's speed is:
Choices:
8 km/h
10 km/h
15 km/h
20 km/h
Answer: D
Question: 39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
Choices:
13
55
76
81
Answer: A
Question: How many seconds does Sandy take to cover a distance of 600 meters, if Sandy runs at a speed of 15 km/hr?
Choices:
136
144
152
160
Answer: B
Question: How many different subsets of the set {10, 14, 15, 24} are there that contain an odd number of elements?
Choices:
8
18
10
12
Answer: A
Question: The radius of a semi circle is 6.3 cm then its perimeter is?
Choices:
32.4
32.9
32.2
32.1
Answer: A
Question: From a group of boys and girls, 15 girls leave. There are then left 2 boys for each girl. After this, 45 boys leave. There are then 5 girls for each boy. Find the number of girls in the beginning?
Choices:
40
50
60
10
Answer: A
Question: Find the average of first 10 natural numbers.
Choices:
18
19.5
19
5.5
Answer: D
Question: Two partners in a business (Miles and King) invested $1200 and $2000 in a business respectively. At the end of the year they made a profit of $1500. Find share of each partner?
Choices:
$555.5,$937.5
$562.5,$939.5
$662.5,$937.5
$562.5,$937.5
Answer: D
Question: Find the principle on a certain sum of money at 5% per annum for 2 2/5 years if the amount being Rs.1120?
Choices:
Rs.1000
Rs.1050
Rs.1200
Rs.1500
Answer: A
Question: The average weight of 18 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class.
Choices:
48.68077
50
51.25388
52.25
Answer: A
Question: The CP of 20 apples are the same as the SP of y apples. If the profit is 25%, then the value of y is?
Choices:
12
16
18
20
Answer: B
Question: If x and y are positive integers and 42x=56y what is the least possible value of xy?
Choices:
28
63
196
252
Answer: D
Question: The greatest possible length which can be used to measure exactly the length 8m, 4m 84cm, 11 m 90 cm is
Choices:
12 cm
5 cm
2 cm
43 cm
Answer: C
Question: What is the diagonal of a square field whose perimeter is 24m?
Choices:
2 m
7 m
10 m
6√2 m
Answer: D
Question: If 13 and 17 are prime numbers, which of the following CANNOT be the sum of a and b?
Choices:
60
90
120
31
Answer: D
Question: A bag contains 6 green balls and 7 white balls. If two balls are drawn simultaneously, what is the probability that both balls are the same colour?
Choices:
3/10
5/11
6/13
11/21
Answer: C
Question: a man purchased earphone on friday.but he forgot how much it cost.the data he have are mean expenditure of all 7 days is 500.expenditure on mon,tue,wed,thurs,sat,sun are 450,600,400,500,550,300.on friday he purchased three things one earphone,one pen and one notebook.pen cost 30 and notebook cost 50.then what is cost of earphone?
Choices:
620
450
470
500
Answer: A
Question: A, B and C completed a piece of work, A worked for 6 days, B for 9 days and C for 4 days. Their daily wages were in the ratio of 3:4:5. Find the daily wages of C, if their total earning was Rs.1850?
Choices:
s.125
s.100
s.103
s.102
Answer: A
Question: xy=1 then what is (5^(x+y)^2) / (5^(x-y)^2)
Choices:
625
8
16
32
Answer: A
Question: The diagonals of a rhombus are 12 cm and 20 cm. Find its area?
Choices:
120
150
288
212
Answer: A
Question: k, l, m together started a business. k invested Rs.6000 for 5 months l invested Rs.3600 for 6 months and m Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of l ?
Choices:
Rs. 2500
Rs. 2160
D) Rs. 3000
NONE OF THESE
Answer: B
Question: Divide Rs. 1200 among A, B and C so that A receives 1/3 as much as B and C together and B receives 2/3 as A and C together. A's share is?
Choices:
300
375
337
639
Answer: A
Question: The side of a cube is 12 m, find the lateral surface area?
Choices:
516
716
216
916
Answer: A
Question: Subtracting 4% of A from A is equivalent to multiplying A by how much ?
Choices:
0.96
0.094
94
None
Answer: A
Question: The ratio of pens to pencils is 5 to 6. There are 6 more pencils than pens. How many pencils are there?
Choices:
36
40
44
48
Answer: A
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:
13%
12%
32%
15%
Answer: B
Question: The number of positive integer solutions for the equation x +y +z + t = 21 is
Choices:
1140
1240
1340
15640
Answer: A
Question: In ΔPQS above, if PQ =4 and PS = 5, then
Choices:
12/5
16/5
15/4
10/3
Answer: D
Question: If 4 men working 10 hours a day earn Rs. 1400 per week, then 9 men working 6 hours a day will earn how much per week?
Choices:
Rs 1320
Rs 1620
Rs 1890
None of these
Answer: C
Question: A contractor hires 100 men to finish a job in 50 days. After 20 days, n men leave. After some more days, the contractor hires 2n more men to complete the job on time. For how many days did these 2n men work?
Choices:
18
15
12
8
Answer: B
Question: A sum of Rs. 1550 was lent partly at 5% and partly at 8% p.a. simple interest. The total interest received after 3 years was Rs. 300. The ratio of the money lent at 5% to that lent at 8% is:
Choices:
16 : 15
15 : 8
8 : 15
8 : 17
Answer: A
Question: A dealer purchases 15 articles for Rs. 25 and sells 12 articles for Rs. 30. Find the profit percentage?
Choices:
50%
59%
40%
53%
Answer: A
Question: A train 280 m long passed a pole in 20 sec. How long will it take to pass a platform 720 m long?
Choices:
59 sec
71 sec
61 sec
66 sec
Answer: B
Question: Baseball's World Series matches 2 teams against each other in a best-of-seven series. The first team to win four games wins the series and no subsequent games are played. If you have no special information about either of the teams, what is the probability W that the World Series will consist of fewer than 7 games?
Choices:
25%
31.25%
68.75%
75%
Answer: C
Question: If the day before yesterday was Wednesday, when will Sunday be?
Choices:
Day after tomorrow
Two days after today
Today
none
Answer: A
Question: After taking N tests, each containing 100 questions, John had an average of 70% of correct answers. How much does John need to score on the next test to make his average equal 71%?
M13-03.
Choices:
N+72
2N+70
2N+72
2N−35
Answer: B
Question: A person can row at 9 kmph and still water. He takes 4 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?
Choices:
16 km
26 km
36 km
20 km
Answer: D
Question: The average marks of a class of 30 students is 40 and that of another class of 50 students is 60. Find the average marks of all the students?
Choices:
52.4
52.1
52.5
52.9
Answer: C
Question: The average of six numbers is 30. If the average of first four is 25 and that of last three is 35, the fourth number is :
Choices:
25
18
19
10
Answer: A
Question: A jar full of whiskey contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohols and now the percentage of alcohol was found to be 26%. The quantity of whisky replaced of whisky replaced is
Choices:
2 / 3
2 / 5
3 / 5
None
Answer: A
Question: How many different two-letter initials with none of the letters repeated can people have?
Choices:
650
750
950
850
Answer: A
Question: During a poker game, 8 people are to be seated around a circular table. two seating arrangement are considered different only when the position of the people are different relative to each other. what is the total number of possible seating arrangements for the group?
Choices:
b.5,040
c.24
d.303
e.120
Answer: A
Question: ((-1.9)(0.6) – (2.6)(1.2))/8.0 = ?
Choices:
-0.53
1.07
1.71
2.71
Answer: A
Question: An association of mathematics teachers has 1,500 members. Only 525 of these members cast votes in the election for president of the association. What percent of the total membership voted for the winning candidate if the winning candidate received 60 percent of the votes cast?
Choices:
58%
42%
34%
21%
Answer: D
Question: The ratio of three numbers is 5:3:4 and their sum is 108. The second number of the three numbers is?
Choices:
27
29
31
32
Answer: A
Question: Solve the following system of equations:
x-y-z = 0
3x+4y+3z = 4
5x+2y+7z = 22
Choices:
x=1, y=2, z=3
x=-2, y=3, z=1
x=1, y=-2, z=3
x=3, y=-1, z=2
Answer: A
Question: Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.85. How much was lent at 5%?
Choices:
119
279
500
502
Answer: C
Question: Mary goes into labor at her local grocery store and is rushed to a hospital in an ambulance traveling 60mph. Her husband Don drives after the ambulance at an average speed of 30mph. Mary reaches the hospital fifteen minutes later. How long does it take Don to get there from the store?
Choices:
30 minutes
10 minutes
15 minutes
7 minutes
Answer: A
Question: Set A consists of integers -9, 8, 3, 10, and J; Set B consists of integers -2, 5, 0, 7, -6, and W. If R is the median of Set A and W is the mode of set B, and R^W is a factor of 34, what is the value of W if J is negative?
Choices:
W=0
1
2
5
Answer: A
Question: James took a 3-hour bike ride. In the second hour he traveled 36 miles, which was 20 percent farther than he traveled the first hour. If he traveled 25 percent farther in the third hour than he did in the second hour, how many miles did jose travel during the entire ride?
Choices:
54.9
111.0
157.0
163.0
Answer: B
Question: If k and w are the dimensions of a rectangle that has area 60, and if k and w are integers such that k > w, what is the total number of possible values of k?
Choices:
Three
Four
Five
Six
Answer: D
Question: A number when divided successively by 4 and 5 leaves remainders 1 and 4 respectively. When it is successively divided by 5 and 4, then the remainders will be.
Choices:
2,3
3,2
4,1
5,1
Answer: A
Question: What is the area of square field whose side of length 12 m?
Choices:
144 sq m
586 sq m
287 sq m
296 sq m
Answer: A
Question: Positive integer y is 50 percent of 50 percent of positive integer x, and y percent of x equals 100. what is the value of x ?
Choices:
100
200
1000
2000
Answer: B
Question: John and Jacob set out together on bicycle traveling at 12 and 9 miles per hour, respectively. After 40 minutes, John stops to fix a flat tire. If it takes John one hour to fix the flat tire and Jacob continues to ride during this time, how many hours will it take John to catch up to Jacob assuming he resumes his ride at 12 miles per hour? (consider John's deceleration/acceleration before/after the flat to be negligible)
Choices:
2 1/3
3 1/2
4
4 1/2
Answer: A
Question: Divide 71 into 2 parts such that 1 part exceeds the other by 8. What are the 2 no.'s in that part?
Choices:
25
31
34
36
Answer: B
Question: If 5.51*10^k = 0.0551, then the value of k is:
Choices:
–3
–2
–1
0
Answer: B
Question: If "x" is an integer, which of the following inequalities have a finite range of values of "x" satisfying them?
Choices:
|x + 2| > 4
9x - 7 < 3x + 14
x2 - 4x + 3 < 0
(B) and (D)
Answer: C
Question: Find the value of (√1.21)/(√0.64) + (√1.44)/(√0.49) is
Choices:
145/63
155/63
3.089
185/63
Answer: C
Question: A train 550 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
Choices:
6
5
54
30
Answer: D
Question: The combined age of husband and wife on their 20th wedding anniversary was twice than it was at the time of wedding. If the husband is 3 years older than his wife. How old was he at the time of his marriage?
Choices:
38.5 years
21.5 years
32 years
None of these
Answer: B
Question: A man walking at a rate of 15km/hr crosses a bridge in 15 minutes. The length of the bridge is?
Choices:
1110m
950m
750m
1300m
Answer: C
Question: How many different ways can 2 students be seated in a row of 8 desks, so that there is always at least one empty desk between the students?
Choices:
42
24
20
12
Answer: A
Question: How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?
Choices:
20
5
15
25
Answer: A
Question: A train 200 m long crosses a platform 200 m long in 40 sec; find the speed of the train?
Choices:
58 kmph
54 kmph
94 kmph
36 kmph
Answer: D
Question: A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg?
Choices:
23
40
88
99
Answer: B
Question: The distance between Delhi and Mathura is 110 kms. A starts from Delhi with a speed of 20 kmph at 7 a.m. for Mathura and B starts from Mathura with a speed of 30 kmph at 8 p.m. from Delhi. When will they meet?
Choices:
10.00 a.m.
9.48 a.m.
18.00 a.m.
19.00 a.m.
Answer: B
Question: A, B and C enter into a partnership. They invest Rs. 70,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years ?
Choices:
21 : 16 : 28
3 : 4 : 2
21 : 14 : 18
3 : 4 : 5
Answer: A
Question: Ratio between Rahul and Deepak is 4:3, After 6 Years Rahul age will be 42 years. What is Deepak present age.
Choices:
15
20
22
27
Answer: D
Question: The total weight of six nougat nuggets is 4 oz. What is the average (arithmetic mean) weight of one such nougat nugget?
Choices:
0.5 oz.
0.67 oz.
5 oz.
18 oz
Answer: B
Question: Two friends P & Q started a business investing amounts in the ratio of 5 : 6. R joined them after six months investing an amount equal to that of Qâ€™s amount. At the end of the year 25% profit was earned which was equal to 98,000. What was the amount invested by R?
Choices:
1,05,000
1,75,000
84,000
None of these
Answer: C
Question: The membership of a committee consists of 4 English teachers, 2 Mathematics teachers, and 2 Social Studies teachers. If 2 committee members are to be selected at random to write the committee’s report, what is the probability that the two members selected will both be English teachers?
Choices:
1/3
2/9
1/12
3/28
Answer: D
Question: Four staff members at a certain company worked on a project. The amounts of time that the four staff members worked on the project were in the ratio 2 to 3 to 4 to 6. If one of the four staff members worked on the project for 24 hours, which of the following CANNOT be the total number of hours that the four staff members worked on the project?
Choices:
90
120
192
180
Answer: C
Question: Given the following factorials (x+3)!, (x-2)!, and (x+4)! what is the value of x if the greatest common divisor is 720?
Choices:
8
7
6
10
Answer: A
Question: In year Y imported machine tools accounted for 25 percent of total machine - tool sales in the United States, and Japanese imports accounted for 35 percent of the sales of imported machine tools. If the total sales of machine tools imported Japan that year was x billion dollars, then the total sales of all machine tools in the United States was how many billion dollars?
Choices:
13X/20
80/9X
20X/13
80X/7
Answer: D
Question: if price of t.v set is reduced by 18%, then its sale increases by 88%, find net effect on sale value
Choices:
54
46
47
48
Answer: A
Question: How many pages do you need if you have to write 150 lines of information into pages that each hold 30 lines?
Choices:
B)5
C)9
D)8
E)None of the above
Answer: A
Question: Which of the following must be true?
1) Every prime number greater than 5 can be written as either as 5n+1 or 5n-1
2) Every prime number greater than 5 can be written as 4n+1 or 4n-1
3) Every number greater than 5 of the form 5n+1 or 5n-1 is a prime number.
Choices:
1,2
2,3
only 1
only 2
Answer: A
Question: The radius of a circle is increased by 1%. Find how much % does its area increases?
Choices:
2.01
2.065
2.04
2.31
Answer: A
Question: At a circular table for seven will sit five adults and two small children. The two children will sit next to each other, and the two parents of the children will sit next to the children so that there is one parent on each side of the two children. If rotating their positions around the table is not considered changing the arrangement, in how many different ways can the seven people be arranged around the table.
Choices:
24
32
48
64
Answer: A
Question: Three partners A, B and C start a business. B's capital is four times C's capital and twice A's capital is equal to thrice B's capital. If the total profit is Rs 16500 at the end of a year, find out B's share in it.
Choices:
3000
4000
5000
6000
Answer: D
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 three times what is the probability that the sum of the numbers on the landing side of the coin will be greater than 3?
Choices:
7/8
1/8
1/2
1/4
Answer: A
Question: The number x of cars sold each week varies with the price y in dollars according to the equation x = 800,000 – 50y. What would be the total weekly revenue, in dollars, from the sale of cars priced at $ 14,000?
Choices:
750,000
850,000
1,400,000,000
750,000,000
Answer: C
Question: (x + 7) is a factor in x^2 - mx - 35. What is the value of m?
Choices:
-2
-4
-5
-6
Answer: A
Question: If the arithmetic mean of p and q is 10 and the arithmetic mean of q and r is 22, what is the value of r-p?
Choices:
10
30
24
5
Answer: C
Question: A and B together invested Rs. 12,000 in a business. At the end of the year, out of total profit is Rs. 2,000 B's share was Rs. 500. A's investment was
Choices:
s. 9,000
s. 10,500
s. 11,250
s. 12,250
Answer: A
Question: What is the smallest integer that is the sum of 2 distinct prime integers, each greater than 70 ?
Choices:
142
173
144
186
Answer: C
Question: In what ratio must rice of Rs.30 per kg be mixed with rice of Rs.56per kg so that cost of mixture is Rs.35 per kg?
Choices:
6:7
7:6
5:21
21:5
Answer: D
Question: Three is the largest number that can be divided evenly into 27 and the positive integer x, while 10 is the largest number that can be divided evenly into both 100 and x. Which of the following is the largest possible number that could be divided into x and 2400
Choices:
70
210
240
700
Answer: C
Question: One fourth of one third of two fifth of a number is 14. What will be40% of that number
Choices:
168
180
200
250
Answer: A
Question: A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
Choices:
240 m
260 m
270 m
290 m
Answer: C
Question: A and B complete a work in 6 days. A can alone can do it in 10 days. If both can together can do the work in how many days?
Choices:
3.75
2
1
8
Answer: A
Question: In what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Choices:
8
7
6
5
Answer: C
Question: is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 32, then how old is B?
Choices:
8
9
10
12
Answer: D
Question: At a certain automobile dealership that sells only Tajima's and Franks, the number of non hybrid Tajima's is 35 less than 3 times the number of hybrid Tajima's. 205 total Tajima's are currently owned by the dealership. If the ratio of hybrid Tajima's to non hybrid Franks is 5:4 and there are 280 total automobiles owned by the dealership, how many hybrid Franks are there?
Choices:
27
48
60
87
Answer: B
Question: 27 * 27* 27 * 27 = 3^ ?
Choices:
12
5
6
8
Answer: A
Question: Find the simple interest on Rs.500 for 9 months at 6 paisa per month?
Choices:
Rs.270
Rs.275
Rs.324
Rs.525
Answer: A
Question: 21 ball numbered 1 to 21. A ballis drawn and then another ball is drawn without replacement.
Choices:
9/42
3/47
3/49
None
Answer: A
Question: How many 1/12s are there in 37 1/2?
Choices:
450
500
650
700
Answer: A
Question: Three people each took 5 tests. If the ranges of their scores in the 5 practice tests were 10, 20 and 32, what is the minimum possible range in scores of the three test-takers?
Choices:
35
50
20
10
Answer: B
Question: The H.C.F of two numbers is 11 and their L.C.M is 7700. If one of the numbers is 275, then the other is?
Choices:
277
308
988
112
Answer: B
Question: A test has a mean of 220 and a standard deviation of 10, find the corresponding z score for: a) a test score of 232?
Choices:
1.2
5
5.6
7
Answer: A
Question: A man's regular pay is $3 per hour up to 40 hours. Overtime is twice the payment for regular time. If he was paid $168, how many hours overtime did he work?
Choices:
8
14
12
15
Answer: A
Question: Nikhilesh invested certain amount in three different schemes A, B and C with the rate of interest 10 p.c.p.a., 12 p.c.p.a.and 15 p.c.p.a. respectively. If the total interest accrued in one year was 3200 and the amount invested in scheme C was 150% of the amount invested in scheme A and 240% of the amount invested in scheme B, what was the amount invested in scheme B?
Choices:
5000
6500
Cannot be determined
None of these
Answer: A
Question: In a series of consecutive odd numbers, 27 is the sixth smallest number and 25 is the tenth largest number. What is the range of the series?
Choices:
26
28
16
14
Answer: A
Question: The H.C.F. of two numbers is 15 and their L.C.M. is 620. If one of the numbers is 375, then the other is:
Choices:
42.8
28.4
11.6
24.8
Answer: D
Question: A couple spent $132 in total while dining out and paid this amount using a credit card. The $132 figure included a 20 percent tip which was paid on top of the price which already included a sales tax of 10 percent on top of the price of the food. What was the actual price of the food before tax and tip?
Choices:
$100
$108
$112
$116
Answer: A
Question: Three hundred students at College Q study a foreign language. Of these, 160 of those students study French, and 190 study Spanish. If at least 90 students who study a foreign language at College Q study neither French nor Spanish, then the number of students who study Spanish but not French could be any number from
Choices:
30 to 50
60 to 100
60 to 110
70 to 110
Answer: A
Question: A Bird is flying into the wind going 6 Km/Hr, and with the wind going 26 Km/Hr, What is his Rate?
Choices:
10 Km/Hr
5 Km/Hr
15 Km/Hr
8 Km/Hr
Answer: A
Question: The diameter of a cylindrical tin is 4cm and height is 5 cm. Find the volume of the cylinder?
Choices:
45
20
77
21
Answer: B
Question: Of the following, which is nearly equal to √12?
Choices:
2.8
3.4
3.5
4.4
Answer: C
Question: Three blocks of different colors are to be placed on a row. How many different sitting arrangements are possible if red must be placed next to blue ?
Choices:
4
6
8
10
Answer: A
Question: What is the unit digit of (6!*3! / 3!*4!)?
Choices:
6
0
3
4
Answer: B
Question: Divide Rs. 2800 among A, B and C so that A receives 3/4 as much as B and C together and B receives 1/4 as A and C together. A's share is?
Choices:
1200
1375
1400
8400
Answer: A
Question: Find the remainder of the division (3^33)/7.
Choices:
3
4
5
6
Answer: D
Question: Two bullet train s 140 m and 200 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other, is:
Choices:
12.24 sec.
11.8 sec.
10.8 sec.
08.8 sec.
Answer: A
Question: At what rate percent per annum will a sum of money double in 8 years.
Choices:
12.5%
11.5%
14.5%
21.5%
Answer: A
Question: Find the amount on Rs.6000 in 2 years, the rate of interest being 4% per first year and 5% for the second year?
Choices:
6369
5460
5635
6552
Answer: D
Question: The time taken to travel from city X to city Y is 12 hrs.if a person starts at 6 a.m from city x and another person leaves in city y at 8 p.m .when they will meet.
Choices:
7 A.M
8 A.M
9 A.M
10 A.M
Answer: A
Question: In a partnership between A, B and C. A's capital is Rs.8000. If his share of a profit of Rs.800 is Rs.200 and B's share is Rs.130, what is C's capital?
Choices:
Rs.18800
Rs.18600
Rs.17500
Rs.16400
Answer: A
Question: If x is the interest on y and y is the interest on z, the rate and time is the same on both the cases. What is the relation between x, y and z?
Choices:
X2=YZ
Y2=XZ
Z2=XZ
Y2=XZ
Answer: B
Question: The average age of a group of n people is 14 years old. One more person aged 34 joins the group and the new average is 16 years old. What is the value of n?
Choices:
8
9
10
11
Answer: B
Question: How much greater is the combined area in square inches of the front and back of a rectangular sheet of paper measuring 11 inches by 17 inches than that of a rectangular sheet of paper measuring 8.5 inches by 11 inches?
Choices:
87%
100%
187%
200%
Answer: B
Question: An Olympic diver received the following scores: 4, 2, 5, 1. The standard deviation of her scores is in which of the following ranges?
Choices:
4.01 to 4.99
1.01 to 1.99
3.01 to 3.99
5.01 to 5.99
Answer: B
Question: A train 140 m long running at 84 kmph crosses a platform in 16 sec. What is the length of the platform?
Choices:
298
233
726
267
Answer: B
Question: A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit?
Choices:
Rs 72
Rs 79.15
Rs 93
Rs 97
Answer: A
Question: The average speed of a car is 1 3/5 times the avg speed of a bike. A tractor covers 575km in 23hrs. How much distance will the car cover in 4hrs if the speed of the bike is twice speed of the tractor?
Choices:
320 km
360 km
550 km
600 km
Answer: A
Question: A certain company reported that the revenue on sales increased 50 % from 2000 to 2003, and increased 80 % from 2000 to 2005. What was the approximate percent increase in revenue for this store from 2003 to 2005?
Choices:
40 %
35 %
32 %
20 %
Answer: D
Question: How many integers E are prime numbers in the range 200 < E < 220?
Choices:
1
3
4
5
Answer: A
Question: The Price of 357 apples is Rs.2499. What will be the price of 49 dozens of such apples?
Choices:
Rs.2816
Rs.4116
Rs.3116
None of these
Answer: B
Question: A cycle is bought for Rs.900 and sold for Rs.1100, find the gain percent?
Choices:
22
99
77
18
Answer: A
Question: Sum of even numbers between 15 and 25 is
Choices:
80
130
100
120
Answer: C
Question: A pair of prime numbers that can be expressed in the form E{p, (p + 6)} is deﬁned as a pair of “sexy primes.” A “sexy triplet” is a group of three primes that can be expressed in the form {p, (p + 6), (p + 12)}. All of the following prime numbers are the middle term of a sexy triplet EXCEPT
Choices:
13
17
19
23
Answer: C
Question: If g and h are positive integers, and 3 is not a factor of h, then h may be which of the following?
Choices:
(g−3)·(g−1)·(g+1)
(g−2)·g·(g+2)
(g−1)·g·(g+2)
(g−3)·(g+1)·(g+2)
Answer: C
Question: What is the area of a square field whose diagonal of length 20 m?
Choices:
300
200
450
600
Answer: B
Question: When average age of 20 members are 0, how many members greater than 0?
Choices:
19
21
24
25
Answer: A
Question: What is the remainder when 8^1 + 8^2 + 8^3 +...+ 8^9 is divided by 4?
Choices:
3
2
5
None of the above
Answer: D
Question: Evaluate
248+64−−√−−−−−−−−−√
Choices:
26
16
36
46
Answer: B
Question: The last day of a century cannot be
Choices:
Wednesday
Tuesday
Friday
Thursday
Answer: B
Question: 325 metres 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:
12
13
16
17
Answer: B
Question: The toll for crossing a certain bridge is $0.70 each crossing. Drivers who frequently use the bridge may instead purchase a sticker each month for $13.00 and then pay only $0.30 each crossing during that month. If a particular driver will cross the bridge twice on each of x days next month and will not cross the bridge on any other day, what is the least value of x for which this driver can save money by using the sticker?
Choices:
15
16
28
29
Answer: B
Question: he total marks obtained by a student in Physics, Chemistry and Mathematics is 140 more than the marks obtained by him in Physics. What is the average mark obtained by him in Chemistry and Mathematics?
Choices:
70
75
85
95
Answer: A
Question: Mike, Jim and Bob are all professional fisherman. Mike can catch 36 fish in one hour, Jim can catch twice as much and Bob can catch 50% more than Jim. If the three started to fish together and after 40 minutes Mike and Bob left, how many fish did the three fishermen catch in one hour?
Choices:
172.
186.
198.
168.
Answer: D
Question: 4y - 4x = xy and x ≠ 0. If x and y are integers, which of the following could equal y?
Choices:
2
0
5
6
Answer: A
Question: An item is being sold for $10 each. However, if a customer will “buy at least 3” they have a promo discount of 15%. Also, if a customer will “buy at least 10” items they will deduct an additional 8% to their “buy at least 3” promo price. If Sam buys 10 pcs of that item how much should he pay?
Choices:
$88.00
$87.04
$80.96
$80.00
Answer: D
Question: A salesman’s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1000 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 600 more than that by the previous schema, his sales were worth?
Choices:
12000
26692
16689
27681
Answer: A
Question: By selling a product with 20% profit, how much profit was earned?
I. The difference between cost and selling price is Rs. 40.
II. The selling price is 120 percent of the cost price.
Choices:
I alone sufficient while II alone not sufficient to answer
Either I or II alone sufficient to answer
Both I and II are not sufficient to answe
Both I and II are necessary to answer
Answer: A
Question: Nicky and Cristina are running a 400 meter race. Since Cristina is faster than Nicky, she gives him a 12 second head start. If Cristina runs at a pace of 5 meters per second and Nicky runs at a pace of only 3 meters per second, how many seconds will Nicky have run before Cristina catches up to him?
Choices:
25
35
30
50
Answer: C
Question: Each person who attended a company meeting was either a stockholder in the company, an employee of the company or both. If 62 percent of these who attended the meeting were stockholders and 50 percent were employees. What percent were stockholders, who were not employees?
Choices:
50
54
55
56
Answer: A
Question: Which of the following is a possible length for side AB of triangle ABC if AC = 5 and BC = 9?
I. 4
II. 9 √3
III. 13.5
Choices:
II only
III only
II and III
I, II, and III
Answer: B
Question: There is a vertical stack of books marked 1, 2, and 3 on Table-A, with 1 at the bottom and 3 on top. These are to be placed vertically on Table-B with 1 at the bottom and 2 on the top, by making a series of moves from one table to the other. During a move, the topmost book, or the topmost two books, or all the three, can be moved from one of the tables to the other. If there are any books on the other table, the stack being transferred should be placed on top of the existing books, without changing the order of books in the stack that is being moved in that move. If there are no books on the other table, the stack is simply placed on the other table without disturbing the order of books in it. What is the minimum number of moves in which the above task can be accomplished?
Choices:
Two
Three
Four
None
Answer: C
Question: An automotive test consisted of driving a car the same distance three separate times, first at an average rate of 4 miles per hour, then 5 miles per hour, then 6 miles per hour. If the test took 74 hours to complete, how many miles was the car driven during the entire test?
Choices:
320
300
360
400
Answer: C
Question: A can complete a project in 30 days and B can complete the same project in 30 days. If A and B start working on the project together and A quits 10 days before the project is completed, in how many days will the project be completed?
Choices:
27 days
26.67 days
5 days
12 days
Answer: C
Question: What is the rate percent when the simple interest on Rs.800 amount to Rs.160 in 4 Years?
Choices:
5
7
8
9
Answer: A
Question: What least number must be added to 1056, so that the sum is completely divisible by 23 ?
Choices:
2
5
6
7
Answer: A
Question: A and B started a business with initial investments in the ratio 2 : 3, after some months B withdrawn his investment, and their share in the annual profits were in the ratio 8 : 7. Then how long B was in the business ?
Choices:
8 months
9 months
5 months
7 months
Answer: D
Question: A and B are two circles. The radius of A is 5 times as large as the radius of B. What is the ratio between the areas of the circles?
Choices:
1:2.
1:4.
1:25.
1:6.
Answer: C
Question: Arun has 13 boxes of chocolates with him, with an average of 17 chocolates per box. If each box has at least 11 chocolates and no two boxes have equal number of chocolates, then what can be the maximum possible number of chocolates in any box?
Choices:
23
29
Can't be determined
None of these
Answer: A
Question: If X is the sum of first 20 positive even integers and Y is the sum of first 20 positive odd integers, what is the value of x-y?
Please try to explain your answers
Choices:
20
50
75
100
Answer: A
Question: A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?
Choices:
177 ways
188 ways
108 ways
189 ways
Answer: C
Question: A sock drawer contains eight socks, each one a different solid color. The colors of the socks are pink, red, orange, yellow, green, blue, indigo, and violet. If the socks are laid next to each other, how many different arrangements of socks could be made?
Choices:
240
1,024
2,520
40320
Answer: D
Question: If x is an odd negative integer and y is an even integer, which of the following statements must be true? I. (3x + 2y) is positive integer II. (xy)^2 is positive integer III. (y^2 - x) is positive integer
Choices:
II only
II,III only
III only
none of these
Answer: B
Question: Find the odd man out
1, 2, 5, 14, 41, 124
Choices:
14
124
41
21
Answer: B
Question: A dog breeder currently has 9 breeding dogs. 6 of the dogs have exactly 1 littermate, and 3 of the dogs have exactly 2 littermates. If 2 dogs are selected at random, what is the probability Q that both selected dogs are NOT littermates?
Choices:
2/9
5/6
7/9
8/9
Answer: B
Question: A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, the how old is B?
Choices:
10 years
14 years
15 years
16 years
Answer: A
Question: Heinz produces tomato puree by boiling tomato juice. The tomato puree has only 20% water while the tomato juice has 90% water. How many liters of tomato puree will be obtained from 25 litres of tomato juice?
Choices:
3.125 liters.
8.5 liters.
2.6 liters.
2.1 liters.
Answer: A
Question: By selling an umbrella for Rs. 300, a shop keeper gains 300%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is?
Choices:
1100
1150
1300
1200
Answer: D
Question: Which is the following is divisible by 11
Choices:
B)4825
C)4805
D)4905
E)654
Answer: D
Question: Matt gets a $1,000 commission on a big sale. This commission alone raises his average commission by $150. If Matt's new average commission is $700, how many sales has Matt made?
Choices:
3
5
6
7
Answer: A
Question: Sid obtained 76, 65, 82, 67 and 80 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
Choices:
B)99
C)68
D)82
E)74
Answer: D
Question: How many integer values are there for x such that 1 < 3x + 5 < 17?
Choices:
Three
Four
Five
Six
Answer: C
Question: Nine persons went to a hotel for taking their meals. Eight of them spent Rs 12 each on their meals and the ninth spent Rs.8 more than the average expenditure of all the nine. What was the total money spent by them?
Choices:
117
150
200
250
Answer: A
Question: A student chose a number, multiplied it by 2, then subtracted 138 from the result and got 102. What was the number he chose?
Choices:
120
130
140
150
Answer: A
Question: How many pounds of salt at 50 cents/lb must be mixed with 40 lbs of salt that costs 38 cents/lb so that a merchant will get 20% profit by selling the mixture at 48 cents/lb?
Choices:
5
8
15
25
Answer: B
Question: The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
Choices:
278
289
750
278
Answer: C
Question: The smallest value of n, for which 2n+1 is not a prime number, is
Choices:
4
5
None
6
Answer: A
Question: How many pages the book have, if total 303 digits are used to form the page numbers?
Choices:
136 pages
137 pages
138 pages
139 pages
Answer: B
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 126° of the circle, what percentage of MegaTek employees are in manufacturing?
Choices:
25%
30%
35%
70%
Answer: C
Question: in a school the ratio of boys and girls are in the ration 5:6 .25% of boys will get scholar ship and 20% of girls will get scholar ship what % of students wont get scholarship?
Choices:
78%
88%
98%
99%
Answer: A
Question: How many positive integer solutions does the equation 2x+1y = 100 have?
Choices:
33
50
35
14
Answer: B
Question: A travel agent offers a vacation plan which costs x dollars for the first day, and x/2 for each additional day.
How much does a vacation of y days cost, where y > 1.
Choices:
(yx+x)/2
(yx+x)/3
(yx+x)/5
(yx+x)/6
Answer: A
Question: If n is an integer, then which of the following statements is/are FALSE?
I)n^3 – n is always even.
II)8n^3 +12n^2 +6n +1 is always even.
III)√ (4n^2 – 4n +1) is always odd.
Choices:
II only
I and II only
II and III only
I, II and III
Answer: A
Question: k, l, m together started a business. k invested Rs.6000 for 5 months l invested Rs.3600 for 6 months and m Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of l ?
Choices:
2112
2160
2212
2100
Answer: B
Question: A car drives 60 miles on local roads at 20 mph, and 120 miles on the highway at 60 mph, what is the average speed of the entire trip?
Choices:
36 mph
44 mph
52 mph
58 mph
Answer: A
Question: A barrel holds 4 quarts of tar and 4 quarts of turpentine. How many quarts of turpentine must be added to the container to create a mixture that is 3 parts tar to 5 parts turpentine by volume?
Choices:
5/3
7/3
8/3
10/3
Answer: C
Question: Mice can multiply very fast. Adult mice can give birth once every month, and baby mice grow into adult mice in just two months after they are born. If you would buy a baby mouse just after it was born, how many mice would you have in 10 months?
Choices:
1
3
4
5
Answer: A
Question: Find the number of ways in which 5 identical balls can be distributed among 10 identical boxes, if not more than one ball can go into a box?
Choices:
252
78
145
312
Answer: A
Question: Sum of 3 consecutive even no.'s is 38 more than the 1st no. of the series. Find the middle no.?
Choices:
12
14
16
18
Answer: D
Question: Joshua and Jose work at an auto repair center with 6 other workers. For a survey on health care insurance, 2 of the 6 workers will be randomly chosen to be interviewed. What is the probability that Joshua and Jose will both be chosen?
Choices:
1/12
1/28
1/6
1/3
Answer: B
Question: A company selected 250 zip codes in Northeastern, Florida, Arizona and California in order to mail a product catalog. The number of Northeastern zip codes was twice Florida's, and four times Arizona's, and 4/3 California's. 75,000 catalogues were mailed to California and 25% resulted in product orders. What is the ratio of the number of orders to the number of California's zip codes?
Choices:
a) 250
c) 1,000
d) 1,250
e) 1,500
Answer: A
Question: Find the compound interest accrued on an amount of Rs.14,800 at 13.5% p.a at the end of two years. (Round off your answer to nearest integer)
Choices:
2888
2988
4266
1781
Answer: C
Question: For any four digit number, abcd, *abcd*= (3^a)(5^b)(7^c)(11^d). What is the value of (n – m) if m and n are four digit numbers for which *m* = (3^r)(5^s)(7^t)(11^u) and *n* = (25)(*m*)?
Choices:
200
25
20
2
Answer: A
Question: Ajay can ride 50km in 1 hour. In how many hours he can ride 1500km?
Choices:
30hrs
20hrs
25hrs
18hrs
Answer: A
Question: A plot is sold for Rs. 18,700 with a loss of 15%. At what price it should be sold to get profit of 15%.
Choices:
Rs 25300
Rs 24300
Rs 21300
None of these
Answer: A
Question: For all integers a and b, a%b = (a + b)(a - b). If 9%x = 17, then which of the following could be a value of x?
Choices:
-8
2
3
6
Answer: A
Question: The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.1.50 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?
Choices:
289
999
270
267
Answer: B
Question: An aeroplane covers a certain distance at a speed of 300 kmph in 6 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of:
Choices:
760 kmph
1080 kmph
1070 kmph
none
Answer: B
Question: If each edge of cube increased by 30%, the percentage increase in
Choices:
69
64
61
75
Answer: A
Question: In how many different number of ways a combination of 3 men and 2 women can be selected from 6 men and 5 women?
Choices:
20
30
40
50
Answer: A
Question: The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8339 for a computer table, then what was the cost price of the computer table?
Choices:
2277
2697
6725
2681
Answer: C
Question: The average salary per month of 55 employees in a company is Rs 8500. If the managers salary is added, the average salary increases to Rs 8800, what is the salary of the manager ?
Choices:
12000
23000
25300
45000
Answer: C
Question: The contents of a certain box consist of 24 plums and 30 kiwis. How many kiwis must be added to the box so that exactly 30% of the pieces of fruit in the box will be plums?
Choices:
26
30
46
50
Answer: A
Question: A sum of money at simple interest amounts to Rs. 815 in 4 years and to Rs. 854 in 5 years. The sum is:
Choices:
659
780
910
None
Answer: A
Question: 9 engines consume 24 metric tonnes of coal, when each is working 8 hours day. How much coal is required for 8 engines, each running 13 hours a day, if 3 engines of former type consume as much as 4 engines of latter type?
Choices:
22 metric tonnes
24 metric tonnes
26 metric tonnes
28 metric tonnes
Answer: C
Question: Operation#is defined as adding a randomly selected two digit multiple of 8 to a randomly selected two digit prime number and reducing the result by half. If operation#is repeated 10 times, what is the probability that it will yield at least two integers?
Choices:
0%
20%
30%
40%
Answer: A
Question: 16 men can complete a piece of work in 25 days. In how many days can 20 men complete that piece of work?
Choices:
26 days
22 days
29 days
20 days
Answer: D
Question: Pipe A can fill a tank in 5 hours, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled ?
Choices:
2 hours
3.5 hours
3 hours
None of these
Answer: C
Question: A certain club has exactly 5 new members at the end of its first week. Every subsequent week, each of the previous week's new members (and only these members) brings exactly M new members into the club. If y is the number of new members brought into the club during the twelfth week, which of the following could be y?
Choices:
3^11 * 5^11
3^12 * 5^12
3^11 * 5^12
60^12
Answer: C
Question: The average age of a family of 6 members is 24 years.If the age of the youngest member is 8 years,what was the average age of the family at the birth of the youngest member?
Choices:
16
21
12
19
Answer: A
Question: If log 0.318=0.3364 and log 0.317=0.33320 then log 0.319 =?
Choices:
0.3368
0.3396
0.3369
0.3469
Answer: B
Question: in a certain flower shop, which stocks four types of flowers, there are 1/4 as many violets as carnations, and 1/4 as many tulips as violets. If there are equal numbers of roses and tulips, what percent of the flowers in the shop are carnations?
Choices:
30
29
28
27.27
Answer: D
Question: The length of a rectangular floor is more than its breadth by 100%. If Rs. 600 is required to paint the floor at the rate of Rs. 3 per sq m, then what would be the length of the floor?
Choices:
14.4m.
12.0m.
16.2m.
16.5m.
Answer: A
Question: A and B take part in 100 m race. A runs at 5 kmph. A gives B a start of 8 m and still beats him by 8 seconds. The speed of B is:
Choices:
4.14 kmph
4.50 kmph
4.4 kmph
5.00 kmph
Answer: A
Question: The length of a rectangular plot is thrice its width. If the area of the rectangular plot is 588 sq meters, then what is the width (in meters) of the rectangular plot?
Choices:
14
18
20
22
Answer: A
Question: When Alice entered the Forest of Forgetfulness, she forgot the day of
the week. She met the Lion and the Unicorn resting under a tree. The
Lion lies on Mondays, Tuesdays and Wednesdays and tells the truth
on the other days of the week. The Unicorn, on the other hand, lies
on Thursdays, Fridays, and Saturdays, but tells the truth on the other
days of the week. They made the following statements:
Lion: \Yesterday was one of my lying days."
Unicorn: \Yesterday was one of my lying days."
From these two statements, Alice was able to deduce the day of the
week. What day was it?
Choices:
Wednesday
Thursday
Friday
Sunday
Answer: B
Question: A furniture manufacturer has two machines, but only one can be used at a time. Machine Q is utilized during the first shift and Machine B during the second shift, while both work half of the third shift. If Machine Q can do the job in 12 days working two shifts and Machine B can do the job in 15 days working two shifts, how many days will it take to do the job with the current work schedule?
Choices:
13
11
9
7
Answer: C
Question: A circular metal plate of even thickness has 12 holes of radius 1 cm drilled into it. As a result the plate lost 1/6th its original weight. The radius of the circular plate is
Choices:
8sqrt2
32sqrt2
sqrt72
sqrt82
Answer: C
Question: Find the amount on Rs.5000 in 2 years, the rate of interest being 4% per first year and 5% for the second year?
Choices:
2798
5460
2799
2771
Answer: B
Question: By selling 100 pens, a trader gains the cost of 30 pens. Find his gain percentage?
Choices:
30%
31%
32%
34%
Answer: A
Question: How many integers are between 7 and 57/4, inclusive?
Choices:
5
7
8
10
Answer: C
Question: If the sum of 6 consecutive integers is y, which of the following must be true?
I. y is an even number
II. y is an odd number
III. y is a multiple of 6
Choices:
II only
III and I only
I onlyII
II and III
Answer: C
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 126 km/hr, what is the length of the platform?
Choices:
240
560
267
191
Answer: B
Question: If f(x) = 12 - x^2/2 and f(2k) = 6k, what is one possible value for k?
Choices:
3
4
6
8
Answer: C
Question: Two sides of triangle are ln(50) and ln(8), third side is ln(n). Find out the number of possible values of n?
Choices:
398
393
395
399
Answer: B