antoine-444/aqua_rat_dataset huggingface dataset:
Question: A park shaped like a rectangle has a length of 24 meters and a width of 18 meters. If trees are planted on its sides with gaps of 2 meters between them, how many trees are needed?
Choices:
42 trees.
52 trees.
62 trees.
None of these
Answer: A
Question: Of the 8 temporary employees in a certain company, 4 will be hired as permanent employees. If 5 of the 8 temporary employees are women, how many of the possible groups of 4 employees consist of 3 women and one man?
Choices:
30
56
70
105
Answer: A
Question: If equation |x/5| + |y/5| = 2 encloses a certain region on the coordinate plane, what is the area of this region?
Choices:
50
200
100
400
Answer: B
Question: In traveling from a dormitory to a certain city, a student went 1/5 of the way by foot, 2/3 of the way by bus, and the remaining 15 kilometers by car. What is the distance, in kilometers, from the dormitory to the city?
Choices:
45
60
90
120
Answer: B
Question: Rose is two years older than Bruce who is twice as old as Chris. If the total of the age of Rose, B and Chris be 27 years, then how old is Bruce ?
Choices:
10 years
12 years
13 years
14 years
Answer: A
Question: A, B and C start a business each investing 20,000. After 5 months A withdrew 5000, B withdrew 4000 and C invests 6000 more. At the end of the year, a total profit of 69,900 was recorded. Find the share of B
Choices:
21,200
28,200
20,500
None of these
Answer: B
Question: If x is an integer such that 1 < x < 9, 2 < x < 15, 7 > x > –1, 4 > x > 0, and x + 1 < 5, then x is
Choices:
3
5
6
7
Answer: A
Question: If a 3-member subcommittee is to be formed from a certain 9-member committee, how many different such subcommittee are possible?
Choices:
18
20
84
216
Answer: C
Question: The average (arithmetic mean) of 20, 40, and 60 is 7 more than the average of 10, 70, and what number?
Choices:
19
35
45
55
Answer: A
Question: In a neighborhood having 90 households, 11 did not have either a car or a bike. If 22 households had a both a car and a bike and 44 had a car, how many had bike only?
Choices:
35
20
18
10
Answer: A
Question: Country X imposes a two-tiered tax on imported cars: the first tier imposes a tax of 30% of the car's price up to a certain price level. If the car's price is higher than the first tier's level, the tax on the portion of the price that exceeds this value is 20%. If Ron imported a $50,000 imported car and ended up paying $12000 in taxes, what is the first tier's price level?
Choices:
$20000
$23000
$24000
$25000
Answer: A
Question: The difference between a two digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?
Choices:
3
four
8
9
Answer: B
Question: A train 800 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
Choices:
389
500
277
781
Answer: B
Question: The sum of the ages of 5 children born at the intervals of 3 year each is 40 year. what is the age of the youngest child ?
Choices:
2 year
10 year
None of these
9 year
Answer: A
Question: If a particular player is always chosen, in how many ways can a cricket-be chosen out of 15 players?
Choices:
1234
1350
1358
1365
Answer: D
Question: If a and b are odd integers, which of the following must be an even integer?
Choices:
ab + 4
(a + 2)(b – 4)
3a + 5b
a(a + 6)
Answer: C
Question: Rs.3150 is divided so that 5 times the first share, thrice the 2nd share and six times the third share amount to the same. What is the value of the third share?
Choices:
s527
s570
s750
s507
Answer: C
Question: At a restaurant, glasses are stored in two different-sized boxes. One box contains 12 glasses, and the other contains 16 glasses. If the average number of glasses per box is 15, and there are 16 more of the larger boxes, what is the total number of glasses at the restaurant? (Assume that all boxes are filled to capacity.)
Choices:
240
56
384
480
Answer: D
Question: For 600km journey it will take 8hrs, if 120 km is done by bus and the rest by car. It takes 20 minutes more, if 200 km is done by bus and the rest bycar. The ratio of the speed of the train to that of the cars is?
Choices:
3:4
2:5
3:7
3:11
Answer: A
Question: 9 - 3 ÷ 1/3 + 3 = ?
Choices:
3
6
9
12
Answer: A
Question: Alok ordered 16 chapatis, 5 plates of rice, 7 plates of mixed vegetable and 6 ice-cream cups. The cost of each chapati is Rs.6, that of each plate of rice is Rs.45 and that of mixed vegetable is Rs.70. The amount that Alok paid the cashier was Rs.1051. Find the cost of each ice-cream cup?
Choices:
40
77
99
91
Answer: A
Question: In a certain city, 60 percent of the registered voters are Democrats and the rest are Republicans. In a mayoral race, if 75 percent of the registered voters who are Democrats and 25 percent of the registered voters who are Republicans are expected to vote for Candidate A, what percent of the registered voters are expected to vote for Candidate A ?
Choices:
53%
54%
55%
57%
Answer: C
Question: Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 6 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is?
Choices:
100 gallons
240 gallons
180 gallons
130 gallons
Answer: B
Question: A sum of Rs.4400 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years.
Choices:
Rs.2860
Rs.3320
Rs.2760
None of these
Answer: A
Question: Beth received 1/10 of the votes cast in a certian election. What franction of the other votes cast would she have needed in order to have received 1/2 of the votes cast?
Choices:
4/7
3/10
7/20
1/2
Answer: A
Question: In a two-digit number, the digit at unit place is 1 more than twice of the digit at tens place. If the digit at unit and tens place be interchanged, then the difference between the new number and original number is less than 1 to that of original number. What is the original number?
Choices:
73
25
49
37
Answer: D
Question: A, B and C have Rs.500 between them, A and C together have Rs.200 and B and C Rs.310. How much does C have?
Choices:
78
267
29
10
Answer: D
Question: In the formula V = 1/(2r)^2, if r is halved, then V is multiplied by ?
Choices:
1/8
1
4
1/64
Answer: C
Question: A metallic hemisphere is melted and recat in the shape of a cone with the same base radius (R) as that of the hemisphere. If H is the height of the cone, then :
Choices:
H = 2R
H = √4R
H = 2/3 R
None
Answer: A
Question: A train 385 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Choices:
52 sec
41 sec
62 sec
21 sec
Answer: D
Question: If n is a positive integer, which one of these following numbers must have a remainder of 3 when
divided by any of the numbers 4, 5, and 6?
Choices:
240n + 3
380n + 3
590n + 3
700n + 3
Answer: A
Question: The fourth proportional to 6, 11, 36 is:
Choices:
66
68
70
72
Answer: A
Question: Ratio of the ages of Mahesh and Nilesh is 5:x. Mahesh is 18 years younger to Ramesh. After nine years Ramesh will be 47 years old. If the difference between the ages of Mahesh and Nilesh is same as the age of Ramesh, what is the value of x?
Choices:
14.4
14.7
14.1
14.5
Answer: D
Question: Rahul will arrange 6 people of 6 different heights for photograph by placing them in two rows of three so that each person in the first row is standing is standing in front of someone in the second row. The heights of the people within each row must increase from left to right, and each person in the second row must be taller than the person standing in front of him or her. How many such arrangements of the 6 people are possible?
Choices:
5
9
24
26
Answer: A
Question: In a certain egg-processing plant, every egg must be inspected, and is either accepted for processing or rejected. For every 96 eggs accepted for processing, 4 eggs are rejected. If, on a particular day, 12 additional eggs were accepted, but the overall number of eggs inspected remained the same, the ratio of those accepted to those rejected would be 99 to 1. How many R eggs does the plant process per day?
Choices:
300
400
3,000
4,000
Answer: B
Question: 15 binders can bind 1400 books in 21 days. How many binders will be required to bind 1600 books in 20 days?
Choices:
18
17
16
10
Answer: A
Question: How many multiples of 10 are there between 11 and 1001?
Choices:
99
100
97
95
Answer: A
Question: A can do a piece of work in 18 days, B in 27 days, C in 36 days. They start worked together . But only C work till the completion of work. A leaves 4 days and B leaves 6 days before the completion of work. In how many days work be completed?
Choices:
12
99
27
99
Answer: A
Question: When positive integer X is divided by positive integer Y, the remainder is 1.44. If X/Y = 96.12, what is the value of Y?
Choices:
75
48
25
12
Answer: D
Question: Two MBA admissions committees are to be formed randomly from 6 second year MBAs with 3 members each. What is the probability R that Jane will be on the same committee as Albert?
Choices:
20%
33%
40%
50%
Answer: C
Question: On a game show, a contestant spins three different wheels; each wheel is numbered 1 to 10. What is the probability that the contestant will spin all tens?
Choices:
1/2
1/50
1/1,000
1/100
Answer: C
Question: John Purchased 1300 large bottles at $1.89 per bottle and 750 small bottles at $1.38 per bottle. What was the approximate average price paid per bottle?
Choices:
$1.64
$1.68
$1.70
$1.76
Answer: C
Question: In 4 years, Raj's father age twice as raj, Two years ago, Raj's mother's age twice as raj. If Raj is 32yrs old in eight yrs from now, what is the age of Raj's mother and father?
Choices:
36
28
46
91
Answer: B
Question: In a college, the ratio of the number of boys to girls is 8 : 5. If there are 160 girls, the total number of students in the college is
Choices:
250
260
416
None of these
Answer: C
Question: R-R-G-G-G-Y-Y-B-R-R-G-G-G-Y-Y-B… B-R-R
The preceding is a representation of the different colored beads on a string. The beads follow a repeating pattern and the colors Red, Green, Yellow, and Blue are represented by R, G, Y, and B respectively. Which of the following is a possible number of beads in the missing section of the string represented above?
Choices:
63
65
66
67
Answer: A
Question: The average of 13 numbers is 60. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th number?
Choices:
46
45
43
53
Answer: A
Question: Which of the following CANNOT be the least common multiple of two positive integers x and y
Choices:
x
x - xy
y
x + y
Answer: B
Question: I chose a number and divide it by 8. Then I subtracted 160 from the result and got 12. What was the number I chose?
Choices:
1376
1400
2500
100
Answer: A
Question: Raman's salary was decreased by 50% and subsequently increased by 50%. How much percent does he loss
Choices:
65
45
25
35
Answer: C
Question: Donald plans to invest x dollars in a savings account that pays interest at an annual rate of 8% compounded quarterly. Approximately what amount is the minimum that Donald will need to invest to earn over $100 in interest within 6 months?
Choices:
$1750
$2000
$2500
$3000
Answer: C
Question: An article is bought for Rs.675 and sold for Rs.1080, find the gain percent?
Choices:
60%
33 1/3%
33 2/3%
33 1/2%
Answer: A
Question: Two numbers are in the ratio 3:5. If 9 be subtracted from each, they are in the ratio of 2:3. The first number is:
Choices:
A)27
C)34
D)35
E)62
Answer: A
Question: The mean of 30 values was 150. It was detected on rechecking that one value 165 was wrongly copied as 135 for the computation of the mean. Find the correct mean.
Choices:
151
152
148
None of the above
Answer: A
Question: A set of data consists of the following 7 numbers: 0, 2, 4, 6, and 8. Which two numbers, if added to create a set of 7 numbers, will result in a new standard deviation that is close to the standard deviation for the original 5 numbers?
Choices:
4 and 4
3 and 5
2 and 6
0 and 8
Answer: B
Question: If A + B means A is the brother of B; A - B means A is the sister of B and A x B means A is the father of B. Which of the following means that C is the son of M?
Choices:
F - C + N x M
N + M - F x C
M x N - C + F
none
Answer: C
Question: Louie takes out a three-month loan of $1000. The lender charges him 20% interest per month compounded monthly. The terms of the loan state that Louie must repay the loan in three equal monthly payments. To the nearest dollar, how much does Louie have to pay each month?
Choices:
B)383
C)402
D)438
E)478
Answer: D
Question: Calculate the area of a triangle, if the sides of are 39 cm, 36 cm and 15 cm, what is its area?
Choices:
370 cm2
170 cm2
271 cm2
270 cm2
Answer: D
Question: A person can swim in still water at 12 km/h. If the speed of water 10 km/h, how many hours will the man take to swim back against the current for 12km?
Choices:
4
5
6
7
Answer: C
Question: Kamal started a business with Rs.25000 and after 4 months, Kiran joined him with Rs.60000. Kamal received Rs.58000 including 10% of profit as commission for managing the business. What amount did Kiran receive?
Choices:
67000
70000
72000
75000
Answer: C
Question: When 2/3 of the garments in the shipment were inspected, 28 of the garments passed inspection and the remaining 2 garments failed. How many of the un inspected garments must pass inspection in order that 90 percent of the garments in the shipment pass?
Choices:
9
13
7
5
Answer: B
Question: According to a recent student poll, 4/6 out of 24 members of the finance club are interested in a career in investment banking. If two students are chosen at random, what is the probability that at least one of them is interested in investment banking?
Choices:
4/49
2/7
62/69
13/14
Answer: C
Question: If 35% of the 840 students at a certain college are enrolled in biology classes, how many students at the college are NOT enrolled in a biology class?
Choices:
546
555
532
515
Answer: A
Question: The current in a river is 5 mph. A boat can travel 20 mph in still water. How far up the river can the boat travel if the round trip is to take 10 hours?
Choices:
88 miles
93,75 miles
100 miles
112 miles
Answer: B
Question: X is the least common multiple of 96,196,300, which number below is not factor of X?
Choices:
700
900
2100
4900
Answer: B
Question: The sum of three consecutive multiples of 3 is 81. What is the largest number?
Choices:
28
30
32
35
Answer: B
Question: How many three letter words are formed using the letters of the word MARRIAGE?
Choices:
429
226
336
280
Answer: C
Question: The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?
Choices:
2689
342
787
191
Answer: B
Question: How long does a train 120 m long travelling at 60 kmph takes to cross a bridge of 170 m in length?
Choices:
14.9 sec
12.4 sec
16.8 sec
17.4 sec
Answer: D
Question: One ball will drop from a certain height. The height it will reach after rebounding from the floor is 50 percent of the previous height. The total travel is 260cm when it touches the floor on third time. What is the value of the original height?
Choices:
90cm
104cm
120cm
130cm
Answer: B
Question: A train 120 m long passed a pole in 6 sec. How long will it take to pass a platform 360 m long?
Choices:
21
22
23
24
Answer: D
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)
51( 5/7)
41( 5/7)
31( 3/7)
Answer: A
Question: The prime sum of an integer n greater than 1 is the sum of all the prime factors of n, including repetitions. For example , the prime sum of 12 is 7, since 12 = 2 x 2 x 3 and 2 +2 + 3 = 7. For which of the following integers is the prime sum greater than 32 ?
Choices:
512
550
620
750
Answer: C
Question: The age of father 8 years ago was twice the age of his son. eight years hence, father's age will be twice that of his son. The ratio of their present ages is:
Choices:
5 : 3
9 : 2
7 : 2
13 : 4
Answer: A
Question: Find out the wrong term in the series 1, 10, 100 100, 1000, 100000
Choices:
100,000,000
100,000
10,000,000
100,000,000,000
Answer: A
Question: If a sum of money trebles itself in 40 years,what is the rate of interest?
Choices:
5%
4%
3%
None of these
Answer: A
Question: If the average (arithmetic mean) of 4x-5, 8x-6, and 9x+5 is 279, what is the value of x?
Choices:
25
27
29
31
Answer: B
Question: Three medical experts, working together at the same constant rate, can write an anatomy textbook in 32 days. How many additional experts, working together at this same constant rate, are needed to write the textbook in 6 days?
Choices:
9
11
13
15
Answer: C
Question: 8 couples attend a dance show in a TV channel. A lucky draw in which 4 persons picked up for a prize is held, then the probability that there is at least 1 couple will be selected is :
Choices:
12/17
15/39
19/31
21/35
Answer: B
Question: At what price must an article costing Rs.47.50 be marked in order that after deducting 7% from the list price. It may be sold at a profit of 25% on the cost price?
Choices:
63.84
62.1
62.7
62.2
Answer: A
Question: What is the remainder when 54617^(42788234) is divided by 5?
Choices:
1
2
3
4
Answer: D
Question: A miniature roulette wheel is divided into 10 equal sectors, each bearing a distinct integer from 1 to 10, inclusive. Each time the wheel is spun, a ball randomly determines the winning sector by settling in that sector. If the wheel is spun four times, approximately what is the probability that the product of the four winning sectors’ integers will be even?
Choices:
67%
88%
94%
98%
Answer: C
Question: If a, b, and c are integers and a*b^2/c is a positive even integer, which of the following must be true?
I. ab > 0
II. ab is even
III. c is even
Choices:
II only
I and II
I and III
I, II, and III
Answer: A
Question: In a throw of coin what is the probability of getting head.
Choices:
2
1/2
0
None of these
Answer: B
Question: A researcher computed the mean, the median, and the standard deviation for a set of performance scores. If7 were to be added to each score, which of these three statistics would change?
Choices:
The median only
The standard deviation only
The mean and the standard deviation
The mean and the median
Answer: D
Question: A manufacturer of a certain type of screw rejects any screw whose length is less than 2.44 + 0.03 centimeters or greater than 2.5 + 0.03 centimeters. If k represents the length of a screw, in centimeters, which of the following inequalities specifies all the lengths of screws that are acceptable?
Choices:
|k — 0.03| <= 2.5
|k — 2.5| > 0.03
|k — 2.5| >= 0.06
|k — 2.5| <= 0.03
Answer: D
Question: A thief goes away with a SANTRO car at a speed of 40 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 60 kmph when will the owner over take the thief from the start?
Choices:
B)5
C)7
D)5
E)1
Answer: D
Question: Tammy climbed a mountain in two days. She spent a total of 14 hours climbing the mountain. On the second day, she walked at an average speed that was half a kilometer per hour faster, but 2 hours less than what she walked on the first day. If the total distance she climbed during the two days is 52 kilometers, how many W kilometers per hour did Tammy walk on the second day?
Choices:
3.5
4
4.5
6
Answer: B
Question: If p > 1 and q = 2^(p −1), then 4^p =
Choices:
4q^2
q^2
q^2/4
q^2/16
Answer: A
Question: A scientist used a unique two-color code to identify each of the test subjects involved in a certain study. If the scientist found that choosing from among five colors produced enough color codes to identify all but 5 of the test subjects, how many test subjects were in the study? (Assume that the order of the colors in the codes does not matter.)
Choices:
10
15
17
20
Answer: B
Question: The mass of the sun is approximately 2 × 10^25 kg and the mass of the moon is approximately 8 × 10^12 kg. The mass of the sun is approximately how many times the mass of the moon?
Choices:
2.5 × 10^12
4.0 × 10^18
2.5 × 10^19
4.0 × 10^42
Answer: A
Question: If C + D = 17 and C and D are positive integers, which of the following is a possible value for 3C + 2D?
Choices:
-29
0
-19
19
Answer: B
Question: In a class everyone will play at least one sport viz table tennis, cricket and badminton. 73
students play table tennis, 79 play badminton, 75 play cricket and 25 students play both table
tennis and badminton, 24 play both table tennis and cricket 30 play. Badminton and cricket and
16 students play all the sports. How many students are there in the class ?
Choices:
164
97
94
74
Answer: A
Question: Two lorries each 350 m long are running in opposite directions on parallel tracks. Their speeds are 40km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Choices:
36 sec
48 sec
55 sec
45 sec
Answer: A
Question: In a simultaneous throw of pair of dice .find the probability of getting the total more than 7
Choices:
4/7
4/3
5/12
2/7
Answer: C
Question: A car crosses a 600 m long bridge in 5 minutes. What is the speed of car in km per hour?
Choices:
7.2 km/hr
8 km/hr
9 km/hr
11 km/hr
Answer: A
Question: If 5 people undertook a piece of construction work and finished half the job in 15 days. If two people drop out, then the job will be completed in?
Choices:
10 days
18 days
20 days
25 days
Answer: D
Question: A firm is comprised of partners and associates in a ratio of 2:63. If 50 more associates were hired, the ratio of partners to associates would be 1:34. How many partners are currently in the firm?
Choices:
10
12
20
25
Answer: C
Question: Simple interest on a certain sum is 16.2 over 20 of the sum. Find the rate per cent and time, if both are equal.
Choices:
6% and 6 years
9% and 9 years
12 % and 12 years
None of these
Answer: B
Question: A certain Social Security recipient will receive an annual benefit of $12,000 provided he has annual earnings of $9,360 or less, but the benefit will be reduced by $1 for every $3 of annual earnings over $9,360. What amount of total annual earnings would result in a 55 percent reduction in the recipient's annual Social Security benefit? (Assume Social Security benefits are not counted as part of annual earnings.)
Choices:
$17,360
$25,560
$21,360
$27,360
Answer: B
Question: x and y are positive integers of T. If 1/x + 1/y < 2, which of the following must be true?
Choices:
xy>1
x/y + y/x < 1
(x - y)^2 > 0
None of the above
Answer: A
Question: If MANGO is written as 41576 and APPLE is written as 17735, then GRAPES would be written as:
Choices:
7835610
7226710
7913350
7917510
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 1/4rd 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
16/81
1/6
Answer: C
Question: If the positive integer N is a perfect square, which of the following must be true?
I. The number of distinct factors of N is odd.
II. The sum of the factors of N is odd.
III. The number of distinct prime factors of N is even.
Choices:
II only
I and II
I and III
I, II and III
Answer: B
Question: Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 2 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?
Choices:
18:3
19:1
19:5
19:4
Answer: C
Question: Ram sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles?
Choices:
Rs.2000
Rs.2297
Rs.2020
Rs.2293
Answer: A
Question: A person borrowed Rs.500 at the rate of 5% per annum S.I what amount will he pays to clear the debts after 4 years?
Choices:
700
500
800
600
Answer: D
Question: Find the smallest number which should be multiplied with 1152 to make it a perfect square.
Choices:
2
3
5
6
Answer: A
Question: Two trains 140 m and 210 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Choices:
12.6 sec
27.7 sec
10.8 sec
17.8 sec
Answer: A
Question: How many integers are between 5 and 96/7, inclusive?
Choices:
9
10
12
15
Answer: A
Question: How many zeroes are there at the end of the number N, if N = 60! + 120! ?
Choices:
14
16
18
20
Answer: A
Question: A pupil's marks were wrongly entered as 67 instead of 45. Due to that the average marks for the class got increased by half. The number of pupils in the class is :
Choices:
80
44
25
26
Answer: B
Question: The distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travels towards B at 60 km/hr. Another train starts from B at 9 a.m. and travels towards A at
75 km/hr. At what time will they meet?
Choices:
11 am.
10 a.m
9 a.m
8 a.m
Answer: A
Question: The average of 13 numbers is 60. Average of the first 6 of them is 57 and that of the last 8 is 61. Find the 8th number?
Choices:
48
50
52
54
Answer: B
Question: A bag marked at Rs. 80 is sold for Rs. 68. The rate of discount is :
Choices:
13 %
15 %
18 %
19 %
Answer: B
Question: A corporation triples its annual bonus to 50 of its employees. What percent Q of the employees’ new bonus is the increase?
Choices:
662⁄3%
100%
200%
300%
Answer: A
Question: One-sixth of the attendees at a certain convention are female students, two-thirds of the attendees are female, and one-third of the attendees are students. If 200 of the attendees are neither female nor students, what is the total number of attendees at the convention?
Choices:
300
1200
900
1000
Answer: B
Question: if price of t.v set is reduced by 22%, then its sale increases by 86%, find net effect on sale value
Choices:
45
46
47
48
Answer: A
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:
20 km
77 km
34 km
22 km
Answer: A
Question: How many three letter words are formed using the letters of the word TIME?
Choices:
86
12
24
27
Answer: C
Question: The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is:
Choices:
20
26
31
NONE OF THESE
Answer: C
Question: The dimensions of a rectangular solid are 6 inches, 5 inches, and 8 inches. If a cube, a side of which is equal to one of the dimensions of the rectangular solid, is placed entirely within thespherejust large enough to hold the cube, what the ratio of the volume of the cube to the volume within thespherethat is not occupied by the cube?
Choices:
2:5
5:16
10:19
32:25
Answer: C
Question: The average of 6 no.'s is 3.95. The average of 2of them is 4.2, while the average of theother 2 is 3.85. What is the average of the remaining 2 no's?
Choices:
4.4
4.6
3.8
5.7
Answer: C
Question: A charitable association sold an average of 66 raffle tickets per member. Among the female members, the average was 70 raffle tickets. The male to female ratio of the association is 1:2. What was the average number W of tickets sold by the male members of the association
Choices:
56
58
62
66
Answer: B
Question: A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. What is the length of the wire?
Choices:
5 cm
4 cm
2 cm
9 cm
Answer: D
Question: In a village there are 150 men and 90 women in present time.if in next year population will be P=(a^2 +b^2)^1/2 , and in every year men are reduces 6%.what is population of after 2 year.
Choices:
141
142
143
145
Answer: D
Question: If the price of 23 toys is 276, then what will the price of 12 toys ?
Choices:
144
117
287
112
Answer: A
Question: A shopkeeper loses 15%,if an article is sold for Rs. 102. What should be the selling price of the article to gain 20%?
Choices:
144
268
277
299
Answer: A
Question: A can do a piece of work in 80 days. He works at it for 10 days & then B alone finishes the remaining work in 42 days. In how much time will A and B, working together, finish the work?
Choices:
10 days
30 days
60 days
50 days
Answer: B
Question: In a car wheel, twenty spokes cover 120 degrees. Then for the entire car,how many spokes are there?
Choices:
240
440
540
640
Answer: A
Question: What is the sum of the greatest common factor and the lowest common multiple of 24 and 36?
Choices:
84
24
60
184
Answer: A
Question: A question paper has two parts X and Y, each containing 10 questions. If a student wants to choose 8 from part X and 4 from part Y, in how many ways can he do that?
Choices:
9450
1500
8500
9500
Answer: A
Question: If a radio is purchased for Rs 490 and sold for Rs 465.50 Find the loss%?
Choices:
4%
5 percent
6%
None of these
Answer: B
Question: Analyze the number square carefully and find out what number fits in place of question mark.
2	4	6
3	6	9
4	8	?
Choices:
8
4
14
20
Answer: B
Question: The cost to rent a small bus for a trip is x dollars, which is to be shared equally among the people taking the trip. If 10 people take the trip rather than 18, how many more dollars, in terms of x, will it cost per person?
Choices:
x/16
x/40
3x/40
3x/80
Answer: A
Question: Expenditures of a Company (in Lakh Rupees) per Annum Over the given Years.
Year	Item of Expenditure
Salary	Fuel and Transport	Bonus	Interest on Loans	Taxes
1998	288	98	3.00	23.4	83
1999	342	112	2.52	32.5	108
2000	324	101	3.84	41.6	74
2001	336	133	3.68	36.4	88
2002	420	142	3.96	49.4	98
What is the average amount of interest per year which the company had to pay during this period?
Choices:
Rs. 36.66 lakhs
Rs. 45.66 lakhs
Rs. 47 lakhs
Rs. 47.45 lakhs
Answer: A
Question: 8.008/2.002
Choices:
0.04
4
40
400
Answer: B
Question: A man goes downstream at 10 kmph, and upstream8 kmph. The speed of the stream is
Choices:
4kmph
1kmph
2.5kmph
26kmph
Answer: B
Question: The average marks of a class of 35 students is 40 and that of another class of 45 students is 60. Find the average marks of all the students?
Choices:
52.4
52.1
51.2
52.9
Answer: C
Question: A sum of money is to be distributed among A, B, C, D in the proportion of
5 : 2 : 4 : 3. If C gets Rs. 2000 more than D, what is B's share?
Choices:
Rs. 1000
Rs. 4000
Rs. 2000
NOne
Answer: B
Question: 375 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
14
16
15
Answer: D
Question: If a(a - 8) = 9 and b(b -8) = 9, where a ≠ b, then a + b =
Choices:
−2
8
9
48
Answer: B
Question: Mary decided to save a certain amount of her monthly salary each month and her salary was unchanged from month to month. If Mary's savings by the end of the year from these monthly savings were FOUR times the amount she spent per month, what should be the fraction of her salary that she spent each month?
Choices:
3/4
1/2
1
5/4
Answer: A
Question: A tourist purchased a total of $2,000 worth of traveler’s checks in $10 and $50 denominations, During the trip the tourist cashed 7 checks and then lost all of the rest. If the number of $10 checks cashed was one more or one less than the number of $50 checks cashed, what is the minimum possible value of the checks that were lost?
Choices:
$1,310
$1,290
$1,770
$1,150
Answer: C
Question: If x, y, and z are three different prime numbers, which of the following is the smallest possible value of x + y + z?
Choices:
10
14
16
18
Answer: A
Question: In the city of San Durango, 60 people own cats, dogs, or rabbits. If 30 people owned cats, 40 owned dogs, 10 owned rabbits, and 8 owned exactly two of the three types of pet, how many people owned all three?
Choices:
4
6
12
32
Answer: B
Question: A man travels 100km by train at 60km/hr, 200km by ship at 20km/hr, 300km by aeroplane at 100km/hr and 100km by car at 50km/hr. What is the average speed for the entire distance?
Choices:
42km/hr
48.9km/hr
52.6km/hr
27.6km/hr
Answer: A
Question: It is being given that (5^32+1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number?
Choices:
5^16-1
7*5^33
5^96+1
None
Answer: C
Question: For any positive integer n, the sum of the first n positive integers equals n(n+1)/2. What is the sum of all the even integers between 99 and 301?
Choices:
20,200
22,650
40,200
45,150
Answer: A
Question: A man cheats while buying as well as while selling. While buying he takes 10% more than what he pays for and while selling he gives 20% less than what he claims to. Find the profit percent, if he sells at 13% below the cost price of the claimed weight.
Choices:
19.63%
37.5%
25%
37.5%
Answer: A
Question: How many numbers from 32 to 97 are exactly divisible by 9?
Choices:
7
9
11
12
Answer: A
Question: On dividing a number by 5, we get 3 as remainder. What will be the remainder when the square of this number is divided by 5 ?
Choices:
1
3
4
2
Answer: C
Question: A train with a length of 100 meters, is traveling at a speed of 72 km/hr. The train enters a tunnel 3.5 km long. How many minutes does it take the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?
Choices:
3
3.4
5.5
5.7
Answer: A
Question: If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is ?
Choices:
4/12
4/15
4/13
4/16
Answer: C
Question: An article is bought for Rs.475 and sold for Rs.525, find the gain percent?
Choices:
33 1/6%
33 1/3%
10.53%
33 2/3%
Answer: C
Question: In an animal behavior experiment, 40 tagged white pigeons and 200 tagged gray pigeons were released from a laboratory. Within one week, 88 percent of the white pigeons and 80.5 percent of the gray pigeons had returned to the laboratory. What percent of the total number of pigeons returned to the laboratory?
Choices:
82
81.75
85
86.5
Answer: B
Question: What annual installment will discharge a debt of $1092 due in 3 years at 12% simple interest?
Choices:
$115
$295
$325
$415
Answer: C
Question: A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Choices:
678m
350m
168m
198m
Answer: B
Question: A batsman in his 18th innings makes a score of 150 runs and there by increasing his Average by 6.
Find his average after 18th innings.
Choices:
18
6
17
42
Answer: D
Question: Two trains leave a station traveling in the same direction. Train A leaves traveling at a constant speed of 50 mph, while train B leaves traveling at a constant speed of 80 mph. If train B left the station 30 minutes after train A left, in how many minutes will train B overtake train A?
Choices:
40
50
60
70
Answer: B
Question: 3: 5 = 4/3: x. The value of x is?
Choices:
20/9
3
4
5
Answer: A
Question: How many natural numbers between 23 and 137 are divisible by 7?
Choices:
17
16
13
15
Answer: B
Question: The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ 26.50 per metre is Rs. 5300, what is the length of the plot in metres?
Choices:
45
125
Data inadequate
None of these
Answer: D
Question: In a group of cows and hens, the number of legs are 20 more than twice the number of heads. The number of cows is :
Choices:
6
7
10
12
Answer: C
Question: A train 300 m long passed a pole in 30 sec. How long will it take to pass a platform 1000 m long?
Choices:
100 sec
110 sec
120 sec
130 sec
Answer: D
Question: If population of certain city increases at the rate of 5%. If population in 1981 was 138915, then population in 1978 was?
Choices:
12,0000
261000
627000
12690
Answer: A
Question: One water pump can fill half of a certain empty tank in 3 hours. Another pump can fill half of the same tank in 312312 hours. Working together, how long will it take these two pumps to fill the entire tank?
Choices:
1 5/8
3 1/4
3 3/13
3 1/2
Answer: C
Question: Cost is expressed by the formula tb^4. If b is doubled, the new cost Q is what percent of the original cost?
Choices:
Q=600
Q=800
Q=1600
Q=50
Answer: C
Question: What is the smallest possible common multiple of three integers, all larger than 26?
Choices:
27
846.
19,656
21,924
Answer: A
Question: A man walking at the rate of 5 km/hr crosses a bridge in 15 minutes. The length of the bridge (in metres) is?
Choices:
1162
2276
1250
1262
Answer: C
Question: If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is ?
Choices:
4/20
4/23
4/13
4/92
Answer: C
Question: If the probability R of rain on any given day in city x is 50% what is the probability it with rain on exactly 3 days in a five day period?
Choices:
2/25
5/16
8/25
3/4
Answer: B
Question: In what ratio P:Q should the Mixture P of milk and water in the ratio of 2:1 be mixed with another Mixture Q of milk and water in the ratio 1:5 so that the resultant mixture contains equal quantities of milk and water?
Choices:
2:1
4:3
3:5
3:1
Answer: A
Question: What is the simple interest on Rs 7000 at 10% per annum for the period from 16th January 2017 to 8th April 2017.
Choices:
Rs.95.8
Rs.47.8
Rs.97.8
Rs.90.8
Answer: C
Question: A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is ?
Choices:
7/78
7/11
7/12
7/15
Answer: D
Question: Calculate the percentage gain if a trader bought a bicycle for Rs.550 and sold it for Rs.650?
Choices:
13.18%
18.18%
19.18%
12.18%
Answer: B
Question: If a certain sample of data has a mean of 30.0 and a standard deviation of 3.5, which of the following values is more than 2.5 standard deviations from the mean?
Choices:
12.0
17.0
23.5
26.5
Answer: A
Question: In a graduate physics course, 70 percent of the students are male and 30 percent of the students are married. If two-sevenths of the male students are married, what fraction of the female students is married?
Choices:
1/3
1/2
2/3
5/7
Answer: A
Question: One fourth of a solution that was 8% sugar by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight. The second solution was what percent sugar by weight?
Choices:
40%
22%
18%
8.5%
Answer: A
Question: If you cut a 22ft piece of wood into two pieces making one piece 4ft longer than the other. What size is the smaller piece?
Choices:
6ft
8ft
10ft
9ft
Answer: D
Question: A man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?
Choices:
4
3
2
9
Answer: A
Question: L2Q,L6S,P12U,R20W,T30U,?
Choices:
V42Y
V47Z
V47Y
V46X
Answer: A
Question: If two sides of a triangle have lengths 5 and 7, which of the following could be the perimeter of the triangle?
I. 9
II. 15
III. 19
Choices:
I only
II only
II and III only
I, II, and III
Answer: C
Question: If TIER is written as 7163 and BRAIN is written as 23415, how is RENT coded ?
Choices:
3657
2977
2790
2711
Answer: A
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 780 grams per kg, what is his percent?
Choices:
25%
55%
28%
28.2%
Answer: D
Question: Of the final grades received by the students in a certain math course, 1/5 are A's, 1/4 are B's, 1/2 are C's, and the remaining 40 grades are D's. What is the number of students in the course?
Choices:
110
160
800
400
Answer: C
Question: What percent of 16 is 16 percent of 1?
Choices:
1
0.1
100
101.
Answer: A
Question: If “&” implies “Add”, “@” implies “multiply”, “#” implies “subtract”, “$” implies “division”,
12 & 3 @ 2 # 32 $ 4 = ?
Choices:
10
27
29
16
Answer: A
Question: In how many years, Rs. 150 will produce the same interest at 6% as Rs. 800 produce in 2 years at 4½% ?
Choices:
6 years
8 years
9 years
10 years
Answer: B
Question: A certain team has 10 members, including Joey. A three-member relay team will be selected as follows: one of the 10 members is to be chosen at random to run first, one of the remaining 9 members is to be chosen at random to run second, and one of the remaining 8 members is to be chosen at random to run third. What is the probability that Joey will be chosen to run second or third?
Choices:
1/5
4/15
3/20
6/25
Answer: A
Question: The cross-section of a cannel is a trapezium in shape. If the cannel is 14 m wide at the top and 4 m wide at the bottom and the area of cross-section is 380 sq m, the depth of cannel is?
Choices:
28
27
42
71
Answer: C
Question: A hare and a jackal are running a race. Three leaps of the hare are equal to four leaps of the jackal. For every six leaps of the hare, the jackal takes 7 leaps. Find the ratio of the speed of the hare to the speed of the jackal.
Choices:
8:7
5:8
25:64
6:7
Answer: A
Question: A committee that includes 6 members is about to be divided into 2 subcommittees with 3 members each. On what percent of the possible subcommittees that Michael is a member of is David also a member?
Choices:
20%
25%
40%
50%
Answer: C
Question: 50 liters of a mixture contains milk and water in the ratio 3:2. If 5 liters of this mixture be replaced by 5 liters of milk, the ratio of milk to water in the new mixture would be?
Choices:
6:2
6:4
7:4
7:2
Answer: C
Question: If the cp of 12 rubbers is equal to the sp of 8 rubbers, the gain %is ?
Choices:
40%
50%
60%
70%
Answer: B
Question: When a number is divided by 13, the remainder is 11. When the same number is divided by 17, then remainder is 9. What is the number ?
Choices:
349
400
500
600
Answer: A
Question: Foodmart customers regularly buy at least one of the following products: milk, chicken, or apples. 60% of shoppers buy milk, 50% buy chicken, and 15% buy apples. If 10% of the customers buy all 3 products, what percentage of Foodmart customers purchase exactly 2 of the products listed above?
Choices:
5%
15%
25%
30%
Answer: A
Question: The function f is defined for all positive integers w by the following rule. f(w) is the number of positive integers each of which is less than w and has no positive factor in common with w other than 1. If p is any prime, number then f(p)=
Choices:
p-1
(p+1)/2
(p-1)/2
2
Answer: A
Question: Abhijit started a business investing 2000. Anuja joined him after 8 months with an amount of 6000 and Sunil joined them with 60,000 after another 4 months. The amount of profit earned should be distributed in what ratio among Abhijit, Anuja and Sunil respectively, three years after Abhijit started the business?
Choices:
5 : 12 : 90
5 : 11 : 80
6 : 11 : 90
12 : 6 : 90
Answer: C
Question: If p and q are prime numbers, how many divisors does the product p^6 * q^7 have?
Choices:
56
60
62
70
Answer: A
Question: If 9^y = 3^12, what is y?
Choices:
2
3
4
6
Answer: D
Question: A fruit drink is made of orange, watermelon, and grape juice, where 15 percent of the drink is orange juice and 60 percent is watermelon juice. If the drink is made with 35 ounces of grape juice, how many ounces is the drink total?
Choices:
140
160
180
200
Answer: A
Question: The speeds of three asteroids were compared. Asteroids X-13 and Y-14 were observed for identical durations, while asteroid Z-15 was observed for 2 seconds longer. During its period of observation, asteroid Y-14 traveled three times the distance X-13 traveled, and therefore Y-14 was found to be faster than X-13 by 1000 kilometers per second. Asteroid Z-15 had an identical speed as that of X-13, but because Z-15 was observed for a longer period, it traveled five times the distance X-13 traveled during X-13's inspection. Asteroid X-13 traveled how many kilometers during its observation?
Choices:
250
1,000
1,500
2,500
Answer: A
Question: Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What
percentage of the total votes did the winning candidate got
Choices:
56%
57%
58%
None of these
Answer: B
Question: A train covered half of the distance between stations A and B at the speed of 48 km/hr, but then it had to stop for 15 min. To make up for the delay, it increased its speed by 53 m/sec and it arrived to station B on time. Find the distance between the two stations and the speed of the train after the stop.
Choices:
216
226
256
246
Answer: A
Question: A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
Choices:
66 seconds
40 seconds
55 seconds
43 seconds
Answer: B
Question: The sum of the interior angles of a polygon is twice the sum of its exterior angles. How many sides
does the polygon have?
Choices:
5 sides
6 sides
7 sides
8 sides
Answer: B
Question: In the first round of the elections, the only two candidates got exactly the same number of votes. During the second round, 16,000 votes switched from the first candidate to the second one. The total number of votes remained the same in both rounds, and no other votes switched sides. If, in the second round, the winning candidate got five times as many votes as the other candidate, how many people have voted in each round?
Choices:
25,000
40,000
48,000
60,000
Answer: C
Question: Working together, John, David, and Roger require 2 1/4 hours to complete a certain task, if each of them works at his respective constant rate. If John alone can complete the task in 4 1/2 hours and David alone can complete the task in 9 hours, how many hours would it take Roger to complete the task, working alone?
Choices:
4 1/2
6 3/4
9
12
Answer: C
Question: Jimmy drove the first half of a 50-mile trip in x hours and the second half in y hours. Which of the following is equal to Jimmy’s average speed, in miles per hour, for the entire trip?
Choices:
50/(x + y)
25/x + 25/y
50/x + 50/y
100/x + 100/y
Answer: A
Question: The greatest number that exactly divided 105, 1001 and 2436 is :
Choices:
7
11
21
24
Answer: A
Question: The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8091 for a computer table, then what was the cost price of the computer table?
Choices:
6887
6728
6725
6525
Answer: D
Question: In 4 years, Raj's father age twice as raj, Two years ago, Raj's mother's age twice as raj. If Raj is 32yrs old in eight yrs from now, what is the age of Raj's mother and father?
Choices:
36
28 years
46 years
91
Answer: B
Question: Two trains, each 100 m long, moving in opposite directions, cross other in 4 sec. If one is moving twice as fast the other, then the speed of the faster train is?
Choices:
66 km/hr
60 km/hr
67 km/hr
120 km/hr
Answer: D
Question: The ratio of two numbers is 2 : 3 and their H.C.F. is 4. Their L.C.M. is
Choices:
24
56
27
35
Answer: A
Question: A camera lens filter kit containing 5 filters sells for $57.50. If the filters are purchased individually, 2 of them are priced at $10.45 each, 2 at $12.05 each, 1 at $17.50. The amount saved by purchasing the kit is what percent of the total price of the 5 filters purchased individually?
Choices:
8%
8.5%
10%
11%
Answer: A
Question: The sector of a circle has radius of 14 cm and its perimeter 50 cm. Find its central angel?
Choices:
225o
270o
150o
90o
Answer: D
Question: Paulson spends 75% of his income. His income is increased by 20% and he increased his expenditure by 10%.Find the percentage increase in his savings
Choices:
50
20
25
40
Answer: A
Question: In a simultaneous throw of 2 dice what is the probability of getting a total of 4?
Choices:
1/12
2/11
3/13
1/5
Answer: A
Question: A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.25000, find their shares?
Choices:
23922
22877
15000
28322
Answer: C
Question: Three houses of the same type were advertised to be let in a locality. four men made separate applications for a house. What is the probability that each of them applied for the same house.
Choices:
1/6
1/8
1/9
3/256
Answer: D
Question: Tough and Tricky questions: Probability.
Medical analysts predict that one over five of all people who are infected by a certain biological agent could be expected to be killed for each day that passes during which they have not received an antidote. What fraction of a group of 1,000 people could be expected to be killed if infected and not treated for three full days?
Choices:
8/27
2/3
19/27
61/125
Answer: D
Question: A welder received an order to make a 1 million liter cube-shaped tank. If he has only 2x3 meter sheets of metal that can be cut, how many metal sheets will be required for this order? (1 cubic meter = 1,000 liters)
Choices:
90
82
78
100
Answer: D