antoine-444/aqua_rat_dataset huggingface dataset:
Question: Sheena has a pet frog and it is growing fast and eating more flies each day. When she first brought it home on Monday it ate 3 flies, Tuesday it ate 6, Wednesday it ate 9, and Friday it ate 15.
How many flies did her frog eat on Thursday?
Choices:
12
10
11
13
Answer: A
Question: 30.5 % of 2000
Choices:
612.5
756.8
610
820
Answer: C
Question: In how many ways can the letters of the word 'BANANA' be arranged?
Choices:
60
48
96
78
Answer: A
Question: If 30/x is an integer and 3/x is an integer, which of the following must be true?
I. 10/x is an integer
II. 3/x is an integer
III. 6/x is an integer
Choices:
II only
III only
II,III only
I,III only
Answer: A
Question: The average of marks obtained by 120 boys was 38. If the average of marks of passed boys was 39 and that of failed boys was 15, the number of boys who passed the examination is?
Choices:
110
115
125
140
Answer: B
Question: How many words can be formed by using all letters of the word “LOVE”
Choices:
24
15
16
140
Answer: A
Question: man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:
Choices:
26 years
17 years
18 years
22 years
Answer: D
Question: When the positive integer c is divided by 11, the quotient is d and the remainder 3. When c is divided by 19, the remainder is also 3. What is the remainder when d is divided by 19?
Choices:
3
2
1
0
Answer: D
Question: Vikas can cover a distance in 1hr 24min by covering 2/3 of
the distance at 4 kmph and the rest at 5kmph.the total
distance is?
Choices:
6 km
2km
11km
7km
Answer: A
Question: The ratio between Sumit's and Prakash's age at present is 2:3. Sumit is 6 years younger than Prakash. The ratio of Sumit's age to Prakash's age after 6 years will be :
Choices:
2 : 3
3 : 4
3 : 8
None
Answer: B
Question: If 8 men or 12 women can do a piece of work in 20 days, in how many days can the same work be done by 6 men and 11 women?
Choices:
11 days
12 days
15 days
17 days
Answer: B
Question: Sabrina gave Samantha as many dollars as Samantha started out with. Samantha then gave Sabrina back as much as Sabrina had left.
Sabrina then gave Samantha back as many dollars as Samantha had left, which left Sabrina broke and gave Samantha a total of $80.00. How much did Sabrina and Samantha have at the beginning of their exchange?
Choices:
$50
$30
$20
$10
Answer: A
Question: The average age of a class of 20 students is 21 years. The average increased by 1 when the teacher's age also included. What is the age of the teacher?
Choices:
41
42
45
43
Answer: B
Question: If the integer N = 139k53 where k is the hundreds digit, N can never be divisible by which of the following?
Choices:
5
4
6
9
Answer: A
Question: In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 60 questions and secures 150 marks, the no of questions he attempts correctly is :
Choices:
38
40
42
44
Answer: C
Question: Each night before he goes to bed, Jordan likes to pick out an outfit to wear the next day. He has 12 different shirts, 10 different pairs of jeans, and 9 pairs of sneakers. If an outfit consists of 1 shirt, 1 pair of jeans, and 1 pair of sneakers, how many different outfits does Jordan have?
Choices:
90
1240
1480
1080
Answer: C
Question: A doctor prescribed 18 cubic centimeters of a certain drug to a patient whose body weight was 75 pounds. If the typical dosage is 2 cubic centimeters per 15 pounds of the body weight, by what percent was the prescribed dosage greater than the typical dosage?
Choices:
9%
11%
12.5%
20%
Answer: D
Question: A dealer offers a cash discount of 20%. Further, a customer bargains and receives 20 articles for the price of 15 articles. The dealer still makes a profit of 20%. How much percent R above the cost price were his articles marked?
Choices:
100%
75%
66+2/3%
50%
Answer: A
Question: The circulation for magazine M in 1961 was 3 times the average (arithmetic mean) yearly circulation for magazine M for the years 1962-1970. What is the ratio of the circulation in 1961 to the total circulation during 1961-1970 for magazine M ?
Choices:
5/4
7/4
3/4
1/4
Answer: D
Question: Using all the letters of the word "NOKIA", how many words can be formed, which begin with N and end with A?
Choices:
6
8
9
1
Answer: A
Question: Anita, Indu and Geeta can do a piece of work in 18 days, 27 days and 36 days respectively. They start working together. After working for 4 days. Anita goes away and Indu leaves 5 days before the work is finished. Only Geeta remains at work from beginning to end. In how many days was the whole work done?
Choices:
29 3/4 days
9 3/4 days
16 days
39 3/4 days
Answer: A
Question: For a certain art exhibit, a museum sold admission tickets to a group of 30 people every 5 minutes from 9:00 in the morning to 4:55 in the afternoon, inclusive. The price of a regular admission ticket was $10 and the price of a student ticket was $6. If on one day 3 times as many regular admission tickets were sold as student tickets, what was the total revenue from ticket sales that day?
Choices:
$25920
$28080
$28500
$29160
Answer: A
Question: In the quadratic equation x2 - bx + 20 = 0, if the product of two roots is 20, what is the sum of the two roots?
Choices:
12
16
14
18
Answer: A
Question: A number consists of two digits. If 3/5 of 1/5 of the number is 9. Find the sum of its two digits?
Choices:
8
7
12
13
Answer: C
Question: A farmer with 1,350 acres of land had planted his fields with corn, sugar cane, and tobacco in the ratio of 5:3:1, respectively, but he wanted to make more money, so he shifted the ratio to 2:4:3, respectively. How many more acres of land were planted with tobacco under the new system?
Choices:
150
270
300
450
Answer: C
Question: If 30 and 12 are factors of K, which of the following is the largest number that must divide evenly into K?
Choices:
36
90
60
42
Answer: C
Question: In how many years does a sum of Rs. 7000 yield a simple interest of Rs. 16000 at 15% p.a.?
Choices:
15.23 years
17.23 years
18.23 years
19.23 years
Answer: A
Question: if remainder is 1 , quotient is 54 and dividend is 217 then what is divisor ?
Choices:
4
6
14
16
Answer: A
Question: {(476 + 424)2 - 4 x 476 x 424} = ?
Choices:
6551
2704
6466
1113
Answer: B
Question: A hollow iron pipe is 42 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 3 g/cm3, then the weight of the pipe is:
Choices:
2.272 kg
2.282 kg
2.992 kg
2.772 kg
Answer: D
Question: The least number which when divided by 3, 4, 5 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is
Choices:
243
252
336
None of these
Answer: A
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
Choices:
50
54
56
55
Answer: A
Question: A small company reduced its faculty by approximately 14 percent to 195 employees. What was the original number of employees?
Choices:
B)227
C)220
D)224
E)302
Answer: A
Question: 5358 x 51 = ?
Choices:
272358
273258
274258
274358
Answer: B
Question: The ratio of men to women in a class is 4 to 3. If 4 men drop out of the class and the ratio of men to women after the drop out is 10 to 9, then how many men are currently in the class?
Choices:
16
18
20
22
Answer: C
Question: At a small company, 64 percent of the employees are women, and 60 percent of the employees are married. If 2/3 of the men are single, what fraction of the women are married?
Choices:
3/4
9/20
7/10
5/7
Answer: A
Question: If 102x = 25, then 10-x equals:
Choices:
B)2
C)6
D)9
E)1/5
Answer: D
Question: On a test, the boys in the class averaged 90 points and the girls in the class averaged 96 points. If the overall class average was 94 points, what is the ratio of boys to girls in the class?
Choices:
1/2
3/4
3/5
4/5
Answer: A
Question: From the salary of Rahul, 20% is deducted as house rent, 10% of the rest he spends on children’s education and 10% of the balance, he spends on clothes. After this expenditure he is left with Rs 1,377. His salary is?
Choices:
Rs 2,125
Rs 2,100
Rs 2,200
Rs 2,300
Answer: A
Question: The sale price shirts listed for Rs.1000 after successive discount is 15% and 2% is?
Choices:
823
833
337
733
Answer: B
Question: The area of the largest circle that can be drawn inside a square of side 112 Cm in length is:
Choices:
9856
2616
1636
3606
Answer: A
Question: Running at the same constant rate, 8 identical machines can produce a total of 240 pens per minute. At this rate, how many pens could 5 such machines produce in 5 minutes?
Choices:
108
192
750
777
Answer: C
Question: If 50% of the 880 students at a certain college are enrolled in biology classes, how many students at the college are NOT enrolled in a biology class?
Choices:
540
520
440
500
Answer: C
Question: A bag of potatoes weighs 28 lbs divided by half of its weight. How much does the bag of potatoes weight?
Choices:
14 lb
10 lb
15 lb
5 lb
Answer: A
Question: If x^2 = y^2, which of the following must be true?
Choices:
x = −y
|x| = |y|
x = −|y|
x = |y|
Answer: B
Question: a school has 4 maths 3 physics and 3 chemistry teachers each teacher can teach 2 subjects max what is he minimum number of teachers required
Choices:
5
6
7
8
Answer: A
Question: In a 100m race, Sam beats John by 5 seconds. On the contrary, if Sam allowed John to start 15m ahead of Sam, then Sam and John reach the finishing point at the same time. How long does Sam take to run the 100m race?
Choices:
25 seconds
29 seconds
21 seconds
17 seconds
Answer: D
Question: A candidate got 35% of the votes and lost to the rival by 1800 votes. How many votes were cast?
Choices:
6000
6500
7000
7500
Answer: A
Question: The roots of the equation x / (x + 2) + 3 / (x - 4) = (4x + 2) / (x 2 - 2x - 8) are
Choices:
x = 4 only
x = 1 only
x = -4 only
None
Answer: B
Question: Suppose that there is a rubber ball which has a property of bouncing back to the original height from which it was dropped and it keeps doing that until it is stopped by any external force.
Can you calculate the fraction of height to which the ball would have bounced if it has bounced four times after dropping from a certain height without being stopped?
Choices:
16/81
18/88
15/79
13/85
Answer: A
Question: If a farmer sells 15 of his hens, his stock of feed will last for 4 more days than planned, but if he buys 20 more hens, he will run out of feed 3 days earlier than planned. If no hens are sold or bought, the farmer will be exactly on schedule. How many hens does the farmer have?
Choices:
60
80
70
50
Answer: A
Question: It takes Joey the postman 1 hours to run a 2 mile long route every day. He delivers packages and then returns to the post office along the same path. If the average speed of the round trip is 6 mile/hour, what is the speed with which Joey returns?
Choices:
9
13
14
15
Answer: A
Question: When a number is divided by 13, the remainder is 6. When the same number is divided by 7, then remainder is 1. What is the number ?
Choices:
253
312
432
None of these
Answer: A
Question: For any positive number x, the function [x] denotes the greatest integer less than or equal to x. For example, [1] = 1, [1.367] = 1 and [1.996] = 1. If k is a positive integer such that k^2 is divisible by 45 and 80, what is the units digit of k^3/4000 ?
Choices:
1
0
54
Cannot be determined
Answer: B
Question: The speed of a train is 90 kmph. What is the distance covered by it in 10 minutes?
Choices:
15 kmph
85 kmph
17 kmph
99 kmph
Answer: A
Question: A large research project was scheduled over the course of a 25-month period, and a budget of $100,000 was allotted for the course of the entire project. After 9 months, the project had spent $35,800. Was the project at this point over budget or under budget, and by how much?
Choices:
under, $200
under, $7000
over $1800
over $5800
Answer: A
Question: A town's oldest inhabitant is x years older than the sum of the ages of the Lee triplets. If the oldest inhabitants is now J years old, how old will one of the triplets Q be in 20 years?
J-X-40/3 is my answers.
J = X + L + L + L is the initial situation
After 20 years
J + 20 = X + L + L + L + 60 ...20 years for each triplet so 60 years totally.
J - X - 40/ 3 = L is my answer.
What wrong am i doing ? Since the age asked is after 20 years i also consider adding 20 years to J .
Choices:
3(J + 20)/x
(J + x - 50)/3
(J - x + 60)/3
(J + x - 20)/3
Answer: C
Question: There are two numbers. If 30% of the first number is added to the second number, then the second number increases to its five-fourth. Find the ratio of the first number to the second number?
Choices:
5/6
5/3
5/8
5/1
Answer: A
Question: John had $100 to buy drinks and sandwiches for his birhtday party. He bought 5 small boxes of drinks at $4 each box and 8 boxes of sandwiches at $6 each box. How much money was left after the shopping?
Choices:
$68
$57
$34
$77
Answer: A
Question: A credit card number has 6 digits (between 1 to 9 inclusive). The first two digits are 12 in that order, the third digit is bigger than 6, the fourth digit is divisible by 2, and the fifth digit is 2 times the sixth. How many different credit card numbers are possible?
Choices:
36
48
60
72
Answer: B
Question: Car A runs at the speed of 80km/hr & reaches its destination in 5hr. Car B runs at the speed of 100 km/h & reaches its destination in 2h. What is the respective ratio of distances covered by Car A & Car B?
Choices:
11 : 8
2 : 1
15 : 7
16 : 9
Answer: B
Question: In how many different number of ways 5 men and 4 women can sit on a shopa which can accommodate persons?
Choices:
230
240
9
260
Answer: C
Question: Total of ages of A,B and C at present is 90 years. If ratio of this ages is 2 : 3 : 4 what will be the age of C after 8 years?
Choices:
42 years
40 years
48 years
None of the above
Answer: C
Question: In a survey of 345 employees, 104 of them are uninsured, 54 work part time, and 12.5 percent of employees who are uninsured work part time. If a person is to be randomly selected from those surveyed, what is the probability that the person will neither work part time nor be uninsured?
Choices:
8/41
9/348
1/8
40/69
Answer: D
Question: The ratio of present age of A and B is 4:3. A will be 26yrs old in 6yrs from now. How old is B now?
Choices:
15yrs
25yrs
10yrs
18yrs
Answer: A
Question: A shopkeeper sold sarees at 266 each after giving 5% discount on labelled price. Had he not given the discount, he would have earned a profit of 12% on the cost price. What was the cost price of each saree?
Choices:
260
38 mph
Data inadequate
None of these
Answer: D
Question: It takes Avery 4 hours to build a brick wall while Tom can do it in 2 hours. If the two start working together and after an hour Avery leaves, how much time will it take Tom to complete the wall on his own?
Choices:
40
30
50
60
Answer: B
Question: Some persons can do a piece of work in 12 days. Two times the number of these people will do half of that work in?
Choices:
3.5 days
4.5 days
5.5 days
2.5 days
Answer: A
Question: x, y, a, and b are positive integers. When x is divided by y, the remainder is 6. When a is divided by b, the remainder is 18. Which of the following is NOT a possible value for y + b?
Choices:
24
20
17
15
Answer: A
Question: What is (21^7+21) / 21?
Choices:
83786095
84316108
85766122
86426237
Answer: C
Question: Local trains leave from a station at an interval of 15 minutes at a speed of 16 km/h. A man moving from opposite side meets the trains at an interval of 12 minutes. Find the speed of the man.
Choices:
4 km/h
4.5 km/h
3 km/h
None of these
Answer: A
Question: The average weight of A, B and C is 45 kg. If the average weight of A and B be 42 kg and that of B and C be 43 kg, then the weight of B is:
Choices:
31 kg
32 kg
36 kg
35 kg
Answer: D
Question: A man invested Rs. 4455 in Rs. 10 shares quoted at Rs. 8.25. If the rate of dividend be 12%, his annual income is:
Choices:
Rs. 534.60
Rs. 648
Rs. 655.60
Rs. 755.60
Answer: B
Question: A circular swimming pool is surrounded by a concrete wall 4ft wide. If the area of the concrete wall surrounding the pool is 11/25 that of the pool, then the radius of the pool is?
Choices:
20
88
387
19
Answer: A
Question: Harry started a 4-mile hike with a full 6-cup canteen of water and finished the hike in 2 hours with 1 cup of water remaining in the canteen. If the canteen leaked at the rate of 1 cup per hour and Harry drank 1 cups of water during the last mile, how many cups did he drink per mile during the first 3 miles of the hike?
Choices:
2/3
3/4
5/4
4/3
Answer: A
Question: The average age of 3 girls is 40 years and their ages are in the proportion 1:2:3. The age of the youngest girl is?
Choices:
23 years
21 years
20 years
25 years
Answer: C
Question: A group of 10 people consists of 3 married couples and 4 single men. A committee of 4 is to be formed from the 10 people. How many different committees can be formed if the committee can consist of at most 1 married couple?
Choices:
207
210
540
5,040
Answer: A
Question: A train cross a 450 m bridge in 42 s and another bridge 650 m length in 50 s what is approximate speed of train in km/h?
Choices:
90 Km /hr.
30 Km /hr.
20 Km /hr.
None of these
Answer: A
Question: Anderson has a phone plan that charges a
monthly rate of $50 for the first 1,000 minutes
plus $0.25 for each additional minute.
Which of the following functions models
Anderson’s plan for all m > 1,000, with m as
the number of minutes per month and f(m)
as the monthly charge?
Choices:
f(m) = 0.25m + 50
f(m) = 0.25m – 200
f(m) = 0.25m – 950
f(m) = 0.25m + 1,000
Answer: B
Question: At a certain committee meeting only associate professors and assistant professors are present. Each associate professor has brought 2 pencils and 1 chart to the meeting, while each assistant professor has brought 1 pencil and 2 charts. If a total of 7 pencils and 11 charts have been brought to the meeting, how many people are present?
Choices:
6
8
9
10
Answer: A
Question: If the President and Vice President must sit next to each other in a row with 3 other members of the Board, how many different seating arrangements are possible?
Choices:
26
20
48
32
Answer: C
Question: A sum of money placed at C.I. interest doubles itself in 5 years. It will amount to eight times itself at the same rate of interest in
Choices:
87 years
15 years
16 years
19 years
Answer: B
Question: Anil can do a work in 15 days while Sunil can do it in 25 days. How long will they take if both work together?
Choices:
9 3/8 days
17 9/8 days
12 7/8 days
16 9/8 days
Answer: A
Question: In a competitive examination in State A, 6% candidates got selected from the total appeared candidates. State B had an equal number of candidates appeared and 7% candidates got selected with 80 more candidates got selected than A. What was the number of candidates appeared from each State?
Choices:
7200
7400
7600
8000
Answer: D
Question: If 0 < x > 7 and 5 < y < 9, then the lowest possible value for xy is
Choices:
between 60 and 70
0
between 0 and -70
less than -70
Answer: A
Question: If a cube of dimension 4 by 4 by 4 is cut into 1 by 1 by 1 after painting it by red color then which of the following is/are true.
I) Ratio of number of painted surfaces of resultant cubes to total number of surfaces is 1/4
II) Number of cubes having no faces pointed is equal to number of cubes having three faces painted.
III) Number of cubes having 2 faces painted is same as number of cubes having one face painted
Choices:
II and III
II only
I, II & III
I & III only
Answer: C
Question: Two fill taps A and B can separately fill a cistern in 45 and 40 minutes respectively. They started to fill a cistern together but tap A is turned off after few minutes and tap B fills the rest part of cistern in 23 minutes. After how many minutes,was tap A turned-off?
Choices:
9 min
12 min
7 min
None of these
Answer: A
Question: If n = 6p, where p is a prime number greater than 2, how many different positive even divisors does n have, including n ?
Choices:
Three
Four
Six
Eight
Answer: A
Question: A person travels from A to B at a speed of 40 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips?
Choices:
48 km/hr
60 km/hr
52 km/hr
None of these
Answer: A
Question: Marcella has 24 pairs of shoes. If she loses 9 individual shoes, what is the greatest number of matching pairs she could have left?
Choices:
20
19
16
15
Answer: B
Question: 3 Years ago, the average age of a family of 5 members was 18 years. A baby having been born, the average age of the family is the same today. The present age of the baby is
Choices:
1.5 Years.
2 Years.
3 Years.
4 Years.
Answer: C
Question: On her annual road trip to visit her family in Seal Beach, California, Alice stopped to rest after she traveled 1⁄3 of the total distance and again after she traveled 1⁄4 of the distance remaining between her first stop and her destination. She then drove the remaining 200 miles and arrived safely at her destination. What was the total distance, in miles, from Alice’s starting point to Seal Beach?
Choices:
300
350
450
400
Answer: D
Question: John bought 2 shares and sold them for $94 each. If he had a profit of 20% on the sale of one of the shares but a loss of 20% on the sale of the other share, then on the sale of both shares John had
Choices:
a profit of $8
a loss of $8
a loss of $12
neither a profit nor a loss
Answer: C
Question: If A is a positive integer greater than 1, what is the sum of the multiples of A from A to A^2, inclusive?
Choices:
A^2(A + 1)/2
A^2(A-1)
(x^3 + 2x)/2
x(x-1)^2
Answer: A
Question: What will come in place of the x in the following Number series? 11, 14, 19, 22, 27, 30, 35, 38, 43, 46, x
Choices:
31
23
51
69
Answer: C
Question: The greatest number by which the product of three consecutive multiples of 2 is always divisible is
Choices:
48
152
162
None of these
Answer: A
Question: The roots of the equation ax(2)exponent) + bx + c = 0 will be reciprocal if:
Choices:
a = bc
c = b
c = a
a = b
Answer: C
Question: Find the value of 72519 x 9999 = m?
Choices:
465768853
678488937
725117481
789458695
Answer: C
Question: In an election a candidate who gets 60% of the votes is elected by a majority of 1040 votes. What is the total number of votes polled?
Choices:
B)5200
C)6900
D)7520
E)6000
Answer: A
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 5 people take the trip rather than 15, how many more dollars, in terms of x, will it cost per person?
Choices:
x/16
x/40
3x/40
3x/22
Answer: D
Question: If a(a + 5) =6 and b(b + 5) =6, where a ≠ b, then a + b =
Choices:
−5
2
46
48
Answer: A
Question: Working alone at its constant rate, pump F pumped out ¼ of the water in a tank in 2 hours. Then pumps G and H started working and the three pumps, working simultaneously at their respective constant rates, pumped out the rest of the water in 3 hours. If pump G, working alone at its constant rate, would have taken 18 hours to pump out the rest of the water, how many hours would it have taken pump H, working alone at its constant rate, to pump out all of the water that was pumped out of the tank?
Choices:
12
15
18
24
Answer: A
Question: In a horticultural experiment, 200 seeds were planted in plot I and 300 were planted in plot II. If 57 percent of the seeds in plot I germinated and 42 percent of the seeds in plot II germinated, what percent of the total number of planted seeds germinated?
Choices:
46.5%
48.0%
49.5%
51.0%
Answer: B
Question: A pharmaceutical company received $8 million in royalties on the first $20 million in sales of the generic equivalent of one of its products and then $9 million in royalties on the next $108 million in sales. By approximately what percent did the ratio of royalties to sales decrease from the first $20 million in sales to the next $108 million in sales?
Choices:
15%
45%
52%
79%
Answer: D
Question: The length of rectangle is thrice its breadth and its perimeter is 64 m, find the area of the rectangle?
Choices:
192 sq m
452 sq m
428 sq m
528 sq m
Answer: A
Question: Which of the following is a possible length for side AB of triangle ABC if AC = 4 and BC = 9?
I. 5
II. 9 √3
III. 12.5
Choices:
II only
III only
II and III
I, II, and III
Answer: B
Question: A book club rented the party room of a local restaurant to meet and discuss its current novel over dinner. The total charge, including food and service, was $ 850.50. If each member of the club paid at least $ 42, then what is the greatest possible number of members in the club?
Choices:
21
20
23
25
Answer: B
Question: Coins are to be put into 6 pockets so that each pocket contains at least one coin. At most 2 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:
16
17
22
28
Answer: A
Question: If x and g are integers and 2x–g= 11, then 4x+ g CANNOT be
Choices:
1
13
17
551
Answer: C
Question: The maitre 'd at an expensive Manhattan restaurant has noticed that 60% of the couples order dessert and coffee. However, 20% of the couples who order dessert don't order coffee. What is the probability R that the next couple the maitre 'd seats will not order dessert?
Choices:
25%
40%
60%
75%
Answer: A
Question: A batsman makes a score of 87 runs in the 17th inning and thus increases his average by 3. Find his average after 17th inning?
Choices:
44
39
66
none of these
Answer: B
Question: If circles x and y have the same area and circle x has a circumference of 12π, half of the radius of circle y is:
Choices:
8
3
2
1
Answer: B
Question: if the ratio of two number is 4:6 and LCM of the number is 280 then what is the number.
Choices:
12
25
30
35
Answer: A
Question: A family consists of two grandparents, two parents, and three grandchildren. The average age of the grandparents is 64 years, the average age of the parents is 39 years, and the average age of the grandchildren is 6 years. What is the average age (in years) of the family?
Choices:
32
33
34
35
Answer: A
Question: When positive integer x is multiplied by positive integer n, the units digit of the product is 3. Which of the following are factors of n?
I. 8
II. 15
III. 30
Choices:
II only
I and II only
II and III only
None of the above
Answer: D
Question: The probability that a man will be alive for 10more yrs is 1/3& the probability that his wife will alive for 10 more yrs is 2/5. The probability that none of them will be alive for 10 more yrs, is
Choices:
1
2/3
3/4
2/5
Answer: D
Question: If the sales tax be reduced from 5 (1/3) % to 3 (1/2) %, then what difference does it make to a person who purchases a bag with marked price of Rs. 5000?
Choices:
Rs. 111.23
Rs. 120.66
Rs. 91.66
None of these
Answer: C
Question: (5+√3+√5)^2-(√3+√5)^2=?
Choices:
25+10√3+10√5
1-√3+√5
1+√3-√5
√3+√5
Answer: A
Question: In 1995, the Jos spent $800 on the family’s water bills. Anticipating that water rates would increase in 1996 by 50%, the Jos cut back their water usage. By how much must the Jos have reduce their 1996 water usage to pay exactly the same amount in 1996 as they paid in 1995?
Choices:
a)	33 1/3 %
c) 50 %
d)	66 2/3 %
e)	100 %
Answer: A
Question: The perimeters of two squares are 48 cm and 32 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares .
Choices:
24 cm
26 cm
28 cm
35.6 cm
Answer: D
Question: If q = 40! + 1, which of the following cannot be a prime factor of q?
I. 11
II. 19
III. 37
Choices:
III only
II and III
I and II
I​, II, and III
Answer: D
Question: A can do a piece of work in 5 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?
Choices:
30
10
6
5
Answer: A
Question: Two clocks are set at 3 0'clock in the morning. If one clock gains 10 minutes per hour and when it shows 6:30 in the morning what does the correct clock show?
Choices:
5:25
7:00
6:15
6:00
Answer: D
Question: The average of five results is 46 and that of the first four is 37. The fifth result is?
Choices:
88
77
82
51
Answer: C
Question: If 0.75 : x :: 5 : 8, then x is equal to:
Choices:
1.2
1.25
1.3
1.35
Answer: A
Question: The number 46 can be written as the sum of the squares of 3 different positive integers. What is the sum of these 3 integers?
Choices:
16
15
10
13
Answer: C
Question: How much space, in cubic units, is left vacant when maximum number of 7x7x7 cubes are fitted in a rectangular box measuring 14x21x17 ?
Choices:
879
880
881
882
Answer: D
Question: A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B's capital was used?
Choices:
4
6
7
8
Answer: C
Question: There r 4 prime numbers in ascending order. The multiplication of first 3 is 385 and that of last 3is 1001. what is the last number is
Choices:
11
12
13
14
Answer: C
Question: How many differentsix letter words can be formed (the words need not be meaningful) using the letters of the word MEDITERRANEAN such that the first letter is E and the last letter is R?
Choices:
11!/(2!*2!*2!)
55
23
11!/(3!*2!*2!*2!)
Answer: B
Question: A factory has a fixed cost of $42,000 a month, and a cost of $2.5 for every item produced. If the selling price of a single item is $5, what is the number of items must be sold monthly for the factory to cover its cost exactly?
Choices:
14,000
16,800
22,500
27,000
Answer: B
Question: A company conducted a survey about its two brands, A and B. x percent of respondents liked product A, (x – 20) percent liked product B, 23 percent liked both products, and 23 percent liked neither product. What is the minimum number D of people surveyed by the company?
Choices:
80
D.90
D.100
200
Answer: C
Question: The greatest number that divides 180, 565 and 705 leaving remainder 5, 5 and 5 respectively is:
Choices:
33
35
38
39
Answer: B
Question: What is the difference between the compound interests on $5000 for 1 years at 4% per annum compounded yearly and half-yearly?
Choices:
2.04
4.8
8.3
9.3
Answer: A
Question: Two equal glasses are respectively
1 3
and
1 4 full of milk. They are then filled up with water and the contents are mixed in a tumbler. Find the ratio of milk and water in the tumbler
Choices:
22
27
19
11
Answer: A
Question: A wooden box of dimensions 8m×7m×6m is to carrry rectangular boxes of dimensions 8cm×7cm×6cm . The maximum number of boxes that can be carried in 1 wooden box is :
Choices:
1000000
9800000
7500000
none
Answer: A
Question: A, B and C can do a work in 90, 15 and 45 days respectively. If they work together, in how many days will they complete the work?
Choices:
10
77
88
11
Answer: A
Question: The divisor is 19, the quotient is 6 and the remainder is 1.
What is the dividend?
Choices:
115
113
110
105
Answer: A
Question: A cistern 6 m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the west surface is :
Choices:
49 m2
53.5 m2
55 m2
None of these
Answer: A
Question: Difficulty:
There are five sales agents in a certain real estate office. One month Andy sold seven times as many properties as Ellen, Bob sold 3 more than Ellen, Cary sold seven times as many as Bob, and Dora sold as many as Bob and Ellen together. Who sold the most properties that month?
Choices:
Bob
Cary
Dora
Ellen
Answer: B
Question: If the quantity (p − 5) is 5 times the quantity (q + 5), then what is the relationship between p and q?
Choices:
p = 5q + 30
5p = q + 20
p = 5q
p = 5q − 20
Answer: A
Question: A freight elevator can carry a maximum load of 1000 pounds. Sean, who weighs 200 pounds, is in the elevator with two packages weighing 150 pounds and 280 pounds. If he needs to fit three more packages in the elevator that weigh as much as possible without exceeding the elevator limit, what is the difference between their average and the average of the two packages already in the elevator?
Choices:
25
190
215
210
Answer: A
Question: On a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. On both days, all the orangeade that was made was sold. If the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $0.60 per glass on the first day, what was the price per F glass on the second day?
Choices:
$0.20
$0.30
$0.40
$0.45
Answer: C
Question: In 2010, a basketball team won 30 percent of its 20 basketball games. In 2011, the team won 28 percent of its 25 basketball games. What was the percent increase from 2010 to 2011 in the number of basketball games the team won?
Choices:
14 2/7%
16 2/3%
23 1/3%
60%
Answer: B
Question: Farm Tax is levied on the 25% of the cultivated Land. The tax department collected total $ 3840 through the farm Tax from the village of Mr. william. Mr. william paid only $ 480 as farm tax. The percentage of total land of Mr. willam over the total taxable land of the village is :
Choices:
25%
50%
0.2083%
none
Answer: B
Question: A watch passes through three hands and each gains 25%. If the 3rd sells it for Rs250, what did the 1st pay for it?
Choices:
125
128
130
154
Answer: B
Question: If a1 = 1 and an+1= 2an + 5, n = 1, 2 .. , then a100 is equal to ?
Choices:
5*2^99+6
6*2^99+5
6*2^99-5
6*2^99-6
Answer: C
Question: 550−(104÷20.8)=?
Choices:
545
535
625
105
Answer: A
Question: Jackson has $313,195 dollars in his investment accounts. What is the least amount of money (in whole number of dollars) that he must remove from his account if he wants to split this money evenly among nine new investors?
Choices:
$2
$3
$4
$5
Answer: C
Question: How many odd four-digit integers greater than 9000 are there such that all their digits are different?
Choices:
104
168
224
280
Answer: C
Question: Speed of a boat in standing water is 11kmph and speed of the stream is 2.5kmph. A man can rows to a place at a distance of 105km and comes back to the starting point. The total time taken by him is?
Choices:
20.12hours
19.12hours
18.12hours
17.12hours
Answer: A
Question: If Jimmy drinks 8 ounces of water each time for 8 times a day. How much gallons of water he would have to prepare ahead to drink for 5 days? (1 ounce = 0.0078125 gallon)
Choices:
1.5
2
2.5
3
Answer: C
Question: If q = 45! + 1, which of the following cannot be a prime factor of q?
I. 11
II. 29
III. 41
Choices:
III only
II and III
I and II
I​, II, and III
Answer: D
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are drawn at random, what is the probability that at least one is green?
Choices:
23/35
23/29
23/30
23/36
Answer: A
Question: 5 cards have to be put into their 5 respective envelopes. If the letters are inserted randomly into the envelopes, what is the probability that all the cards go into their respective envelopes?
Choices:
1/60
1/240
1/120
3/5
Answer: C
Question: In how many ways can 15 people be seated around two round tables with seating capacities of 7 and 8 people?
Choices:
7! *8!
15C7 *6! *7!
2 * 15C7 *6! *7!
15C8 *8!
Answer: B
Question: Solve using synthetic division or long division(x2 + 13x + 40) ÷ (x + 8)
Choices:
x + 0
x + 5
x + 2
x + 1
Answer: B
Question: A car traveled 420 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city. If the car traveled 6 fewer miles per gallon in the city than on the highway, how many miles per gallon did the car travel in the city?
Choices:
16
21
24
27
Answer: C
Question: The y intercept of a line L is 6. If the slope of L is negative, which of the following could be the x intercept of L.
I. -1
II. 0
III. 6
Choices:
II only
III only
I and II
I and III
Answer: B
Question: A football coach must choose 5 freshers from a team of 12players. How many different ways can the coach choose the freshers?
Choices:
670
729
740
760
Answer: B
Question: A trader purchased two colour televisions for a total of Rs. 35000. He sold one colour television at 30% profit and the other 40% profit. Find the difference in the cost prices of the two televisions if he made an overall profit of 32%?
Choices:
21000
21004
21009
21001
Answer: A
Question: If s and t are positive integers such that s/t = 56.12, which of the following could be the remainder when s is divided by t ?
Choices:
4
8
20
90
Answer: D
Question: Bradley owns b video game cartridges. If Bradley’s total is one-seventh the total owned by Andrew and four times the total owned by Charlie, how many video game cartridges do the three of them own altogether, in terms of b?
Choices:
29b / 4
31b / 4
33b / 4
35b / 4
Answer: C
Question: Tom purchased 8kg of apples at the rate of 70 per kg and 9 kg of mangoes at the rate of 45 per kg. How much amount did he pay to the shopkeeper?
Choices:
B)1045
C)965
D)1060
E)1075
Answer: B
Question: Which one of the following numbers is exactly divisible by 11?
Choices:
415620
415621
415623
415624
Answer: D
Question: A single letter is selected at random from the word 'PROBABILITY'. The probability that it is a vowel is..??
Choices:
3/11
4/11
0
1
Answer: B
Question: The average number of shirts with Salman, Ambani and Dalmiya is 60, if all of them reached a shopping mall in Delhi and purchased 4 shirts each of them then average number of shirt each of them now has
Choices:
63
62
64
61
Answer: C
Question: Ifaequals the sum of the even integers from 2 to 20, inclusive, andbequals the sum of the odd integers from 1 to 19, inclusive, what is the value of a * b ?
Choices:
11000
19000
20000
21000
Answer: A
Question: If two numbers are in the ratio 2:5. If 10 is added to both of the numbers then the ratio becomes 3:7 then find the smallest number?
Choices:
80
60
20
100
Answer: A
Question: An Olympic diver received the following scores: 5, 6, 3, 2. The standard deviation of her scores is in which of the following ranges?
Choices:
3.01 to 3.99
4.01 to 4.99
2.01 to 2.99
1.01 to 1.99
Answer: D
Question: Claire has 3 books. She averages the amount of pages of each book to have 305 pages. If her mom buys her a new book which has 400 pages, what will the new average be?
Choices:
328.75
330.87
342.75
335
Answer: A
Question: When the oil from a circular cylinder leaked, the formula for the speed of the leak is V = kh^2, where h was the height of the remaining oil and k was constant. If the height of the cylinder is 4, the speed of the leak is Vâ€™, When the height of the oil remaining is 16, what was the speed of the leak, in terms of Vâ€™?
Choices:
4Vâ€™
Vâ€™/2
Vâ€™/4
16Vâ€™
Answer: D
Question: Visitors to show were charged Rs.15 each on the first day. Rs.7.50 on the second day, Rs.2.50 on the third day and total attendance on the three days were in ratio 2:5:13 respectively. The average charge per person for the whole show is?
Choices:
9
5
3
4
Answer: B
Question: Suppose we have six marbles: 3 blue marbles, 2 red marbles, and one green marble. Suppose we are going to put them into three cups: a black cup, a white cup, and a purple cup. The only restriction is that the two red marbles can’t be in the same cup. We could put as many as five (all except one of the reds) in any cup. We could leave one cup empty, or put some in each of the three cups. All combinations are allowed that don’t involve the two red marbles in the same cup. How many combinations are possible?
Choices:
180
360
540
720
Answer: A
Question: If c is an integer greater than 6, which of the following must be divisible by 3?
Choices:
c (c+2) (c-1)
c (c+3) (c-5)
c (c+1) (c-4)
c (c+5) (c-6)
Answer: C
Question: The Kiljaro Highway is marked with Milestones denoting the distance to the town of Kiljaro. Tommy left kiljaro and drove the highway, passing the 40 km milestone at 8:30. Some time afterwards, Tommy got a phone call asking him to return home, and he made a U-turn at the 160 km milestone. At 09:A0 Tommy passed the milestone marking 70 km to Kiljaro. The variable A represents the tens digit of the minutes in 09:A0. Assuming Tommy maintained the same constant speed during the entire drive, how many kilometers did Tommy travel in one minute?
Choices:
210/(30+10A)
210/35A
210/(30+10A)
220/40A
Answer: A
Question: A, B and C started a business A's investment is 2 times of B's investment is 5 times of C's investment. Find the profit of B in the total profit of Rs. 1600.
Choices:
Rs. 8500
Rs. 7200
Rs. 500
None of these
Answer: C
Question: A certain number when divided by 39 leaves a remainder 20, what is the remainder when the same number is divided by 13?
Choices:
5
8
7
9
Answer: C
Question: The average of eight numbers is 14. The average of six of these numbers is 16.The average of the remaining two numbers is
Choices:
14×8 – 16×6)/1
14×8 – 16×6)/2
14×8 – 16×6)/5
14×8 – 16×6)/6
Answer: B
Question: In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?
Choices:
2.5 sec
7.5 sec
2.3 sec
1.5 sec
Answer: A
Question: A man is trying 2 different pairs of pants &6 different shirts. How many combinations of 1 pair of pants &1 shirt are possible?
Choices:
12
16
19
21
Answer: A
Question: What is the sum of the greatest common factor and the lowest common multiple of 12 and 36?
Choices:
48
32
36
38
Answer: A
Question: On a certain day, Jared's farm harvested 2526 oranges. If Jared distributes his oranges evenly across 7 different retail shops, how many oranges would remain with him?
Choices:
7 oranges
1 orange
2 oranges
14 oranges
Answer: B
Question: A father was as old as his son's present at the time of your birth. If the father's age is 38 years now, the son's age six years back was?
Choices:
12 years
13 years
16 years
18 years
Answer: B
Question: If the cost price is 82% of the selling price, then what is the profit percent?
Choices:
22%
13%
21%
19%
Answer: A
Question: Can you find the last number in the number sequence given below?
10 : 10 : 20 : 45 : 110 : 300 : ?
Choices:
756
390
610
930
Answer: D
Question: Calculate the largest 6 digit number which is exactly divisible by 99?
Choices:
999965
999912
999936
999930
Answer: C
Question: A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 75, the runs scored by B are?
Choices:
18
13
17
12
Answer: A
Question: The average of five consecutive odd numbers is 61. What is the difference between the highest and lowest numbers :
Choices:
8
12
16
18
Answer: A
Question: If $120 invested at a certain rate of simple interest amounts to $160 at the end of 3 years,How much will $150 amount to at the same rate of interest in 6 years?
Choices:
$180
$200
$240
$250
Answer: D
Question: A certain industrial machine requires 15 quarts (480 ounces) of oil every day, and it is given a mixture of oil A and oil B. Oil A consists of 5% special additives while oil B consists of 9% special additives. If the machine needs exactly 30 ounces of the special additives to ensure smooth operation, then how much of oil A, in ounces, should be in the mixture?
Choices:
b.	B – 280
c. C – 290
d.	D – 330
e.	E – 380
Answer: C
Question: The sum of two numbers is 50 and their product is 1050. What will be the sum of their reciprocals?
Choices:
(1/21)
(35/4)
(75/8)
None
Answer: A
Question: To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two-fifth of its present ?
Choices:
43
62.5
71
72.5
Answer: B
Question: In 10 years, A will be twice as old5as B was 10 years ago. If A is now 8 years older than B, the present age of B is
Choices:
37
38
41
42
Answer: B
Question: Ice-ColdIce-cream factory produces only tricolor ice-cream products, where each ice-cream has three stripes of different colors. The factory uses the colors pink, purple, orange, silver, blue and GRAY. How many different ice-cream products have at least one stripe out of the following colors: pink, purple or orange (assume that the order of the stripes in a single ice-cream does not matter)?
Choices:
14
18
19
20
Answer: C
Question: If X and Y are sets of integers, X # Y denotes the set of integers that belong to set X or set Y, but not both. If X consists of 8 integers, Y consists of 10 integers, and 6 of the integers are in both X and Y, then X # Y consists of how many integers?
Choices:
6
22
30
174
Answer: A
Question: A bulldog received 1,600 votes in a bulldog competition, giving him 20 percent of the votes. What percent of the remaining votes would he have needed to receive in order to win 28 percent of the total votes?
Choices:
10%
15%
17.5%
20%
Answer: A
Question: What is the smallest integer that is the sum of 2 distinct prime integers, each greater than 80 ?
Choices:
172
173
199
186
Answer: A
Question: A motor pool has 300 vehicles of which 30 percent are trucks. 20 percent of all the vehicles in the motor pool are diesel, including 15 trucks. What percent of the motor pool is composed of vehicles that are neither trucks nor diesel?
Choices:
90%
65%
55%
10%
Answer: C
Question: In a group of buffaloes and ducks, the number of legs are 24 more than twice the number of heads. What is the number of buffaloes in the group?
Choices:
12
5
8
10
Answer: A
Question: An employee’s annual salary was increased $5,000. If her new annual salary now equals $25000 what was the percent increase?
Choices:
80%
20%
22%
24%
Answer: A
Question: If x ¤ y = (x + y)^2 - (x - y)^2. Then √7 ¤ √7 =
Choices:
5
10
15
28
Answer: D
Question: A wire in the form of a circle of radius 3.5 m is bent in the form of a rectangule, whose length and breadth are in the ratio of 6 : 5. What is the area of the rectangle?
Choices:
30 cm2
56 cm2
45 cm2
19 cm2
Answer: A
Question: Divide Rs. 1500 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:
320
375
372
322
Answer: B
Question: At Deluxe paint store, Fuchsia paint is made by mixing 4 parts of red paint with 2 parts of blue paint. Mauve paint is made by mixing 3 parts of red paint with 6 parts blue paint. How many liters of blue paint must be added to 24 liters of Fuchsia to change it to Mauve paint?
Choices:
12
15
16
24
Answer: D
Question: The average age of an adult class is 40 years. 12 new students with an avg age of 34years join the class. Therefore decreasing the average by 4 years. Find what was the original average age of the class?
Choices:
6
16
20
22
Answer: A
Question: A box contains seven light out of which 3 are defective. If three light are chosen at random, find the probability that all the three light are defective?
Choices:
3/35
1/35
3/37
None of these
Answer: B
Question: In the office supply store, Brittany bought 17 pens of three kinds: ball pens, gel pens, and ink pens, which cost $0.05, $0.10 and $0.25 each. The total that Brittany paid was $2.05. If Brittany bought twice as many gel pens as ink pens, how many ball pens did she buy?
Choices:
5
7
8
10
Answer: A
Question: The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 50 with him, what was the average amount with the group before his joining the group?
Choices:
15
18
22
30
Answer: A
Question: A worker makes a toy in every 2h. If he works for 100h, then how many toys will he make ?
Choices:
54
50
39
None
Answer: B
Question: The average of five number is 27. if one number is excluded, the average becomes 25. The excluded number is :
Choices:
27
30
35
None of these
Answer: C
Question: The area of an isosceles trapezoid with sides of length 5 and bases of length 10 and 16 is?
Choices:
40
52
54
58
Answer: B
Question: The difference between compound interest and simple interest on a certain amount of money at 5% per annum for 2 years is 17. Find the sum :
Choices:
7500
5000
6800
None of these
Answer: C
Question: Jackie has two solutions that are 4 percent sulfuric acid and 12 percent sulfuric acid by volume, respectively. If these solutions are mixed in appropriate quantities to produce 60 liters of a solution that is 5 percent sulfuric acid, approximately how many liters of the 4 percent solution will be required?
Choices:
20
24
36
26.25
Answer: D
Question: A chemist mixes one liter of pure water with x liters of a 50% salt solution, and the resulting mixture is a 10% salt solution. What is the value of x?
Choices:
1/4
1/2
1
3
Answer: A
Question: P and Q started a business investing Rs. 85,000 and Rs. 15,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?
Choices:
3:5
15:23
17:23
None of these
Answer: D