antoine-444/aqua_rat_dataset huggingface dataset:
Question: The H.C.F. of two numbers is 10 and the other two factors of their L.C.M. are 11 and 15. The larger of the two numbers is:
Choices:
150
299
322
345
Answer: A
Question: In the first week of the Year, Mancy saved $1. In each of the next 51 weeks, she saved $1 more than she had saved in the previous week. What was the total amount that Mancy saved during the 52 weeks?
Choices:
$1,352
$1,378
$2,652
$2,756
Answer: B
Question: A, B, C rent a pasture. If A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing and the rent of the pasture is Rs. 175, then how much amount should C pay as his share of rent?
Choices:
45
15
28
18
Answer: A
Question: A circle graph shows how the budget of a certain company was spent: 61 percent for salaries, 10 percent for research and development, 6 percent for utilities, 5 percent for equipment, 3 percent for supplies, and the remainder for transportation. If the area of each sector of the graph is proportional to the percent of the budget it represents, how many degrees of the circle are used to represent transportation?
Choices:
36°
54°
72°
90°
Answer: B
Question: If |x – 9/2| = 5/2, and if y is the median of a set of p consecutive integers, where p is odd, which of the following must be true?
I. xyp is odd
II. xy(p^2 + p) is even
III. x^2y^2p^2 is even
Choices:
II only
I and III
II and III
I, II, and III
Answer: A
Question: Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Two years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?
Choices:
B)89
C)67
D)56
E)16
Answer: D
Question: The difference of 2 digit number & the number obtained by interchanging the digits is 36. What is the difference the sum and the number if the ratio between the digits of the number is 1:2?
Choices:
8
9
11
12
Answer: A
Question: A particular store purchased a stock of turtleneck sweaters and marked up its cost by 20%. During the New Year season, it further marked up its prices by 25% of the original retail price. In February, the store then offered a discount of 18%. What was its profit on the items sold in February?
Choices:
30%
35%
23%
40%
Answer: C
Question: By investing Rs. 1620 in 8% stock, Michael earns Rs. 135. The stock is then quoted at:
Choices:
Rs 96
Rs 150
Rs 160
Rs 200
Answer: A
Question: The average of five numbers id 28. If one number is excluded, the average becomes 25. What is the excluded number?
Choices:
40
32.5
35
37
Answer: A
Question: Find the average (arithmetic mean) of x and y if the average of x, y, and 10 is 20 greater than the average of x, y, 10, and 20.
Choices:
130
145
160
175
Answer: B
Question: The sum of two numbers is 16. The difference is 10. What are the two numbers?
Choices:
8-8
9-7
11-5
13-3
Answer: D
Question: During a car trip, Maria stopped to rest after she traveled 1/2 of the total distance to her destination. she stopped again after she traveled 1/4 of the distance remaining between her first stop and her destination, and then she drove the remaining 210 miles to her detination. What was the total distance, in miles from Maria's starting point to her destination?
Choices:
320
360
420
560
Answer: D
Question: All of the bonds on a certain exchange are designated by a 3-letter, a 4-letter, or a 5-letter code that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different bonds that can be designate with these codes?
Choices:
26(26^3 + 26^5)
27(26^3 + 26^5)
27(26^3) + 26^5
26^3 + 27(26^5)
Answer: C
Question: I buy coffee from 3 different shops at Rs.150,Rs.140,Rs.130 per kg and mix them in proportion 8:5:3.At what price per kg must I sell the mixture to make a profit of 25%?
Choices:
178.906
188.906
198.906
158.906
Answer: A
Question: In a game, a person is declared winner, if he gets 4 consecutive tails in five throws of a coin. What is the probability of A to win if he has got a tail in the first throw?
Choices:
1/4
1/8
1/16
1/6
Answer: B
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 171?
Choices:
3440
4860
5560
6720
Answer: B
Question: A girl has 8 dolls out of which a pair of is to be selected to take with her. At most, how many different pairs are possible?
Choices:
90
50
45
28
Answer: D
Question: The average age of a class of 39 students is 15 years. If the age of the teacher be included, then the average increases by 3 months. Find the age of the teacher.
Choices:
25
97
27
91
Answer: A
Question: Bert and Rebecca were looking at the price of a condominium. The price of the condominium was 50% more than Bert had in savings, and separately, the same price was also 25% more than Rebecca had in savings. What is the ratio of what Bert has in savings to what Rebecca has in savings.
Choices:
1:3
1:2
3:4
5:6
Answer: D
Question: At a bank, the service charges for transactions were US Dollar 1 for every 5 transactions. The bank recently revised the charges to US Dollar 0.75 for every 3 transactions. By approximately what percent did the ratio of price to transactions increase from the previous charge?
Choices:
24
23
22
25
Answer: D
Question: A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.18600. A's share is?
Choices:
2765
6000
6200
1261
Answer: C
Question: If 7^q is a factor of the product of the integers from 1 to 100, inclusive, what is the largest value of q?
Choices:
13
14
15
16
Answer: D
Question: At a dinner party, 5 people are to be seated around a circular table. 2 seating arrangements are considered different only when the positions of the people are different relative to each other. what is the total number R of different possible seating arrangements for the group?
Choices:
10
24
32
120
Answer: B
Question: At what price must an article costing Rs.47.50 be marked in order that after deducting 10% from the list price. It may be sold at a profit of 25% on the cost price?
Choices:
65.97
62.1
62.7
62.2
Answer: A
Question: Susan, Daisy and Tim need to be seated in 3 identical chairs in straight line so that Susan is seated always left to Tim. How many such arrangements are possible ?
Choices:
3
80
240
60
Answer: A
Question: The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square.
Choices:
5:19
5:12
5:13
5:16
Answer: D
Question: Machine A can make 350 widgets in 1 hour, and machine B can make 250 widgets in 1 hour. If both machines work together, how much time will it take them to make a total of 900 widgets?
Choices:
1 hour and 24 minutes
1 hour and 30 minutes
1 hour and 36 minutes
1 hour and 40 minutes
Answer: B
Question: A, B and C are partners. A receives 2/3 of profits, B and C dividing the remainder equally. A's income is increased by Rs.600 when the rate to profit rises from 5 to 7 percent. Find the Capital of B?
Choices:
7799
2500
7500
2912
Answer: C
Question: A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?
Choices:
27
30
82
21
Answer: B
Question: Look at this series: 49, 46, 51, 48, 53, 50, ... What number should come next?
Choices:
58
45
55
58
Answer: C
Question: What number should replace the question mark?
105, ?, 70, 52, 35
Choices:
37
70
55
87
Answer: D
Question: The data A and B are equal to the data subtracted C; The data B is three times the data A; If the data A is equal to 12 What is the sum of the data A, B and C?
Choices:
92
84
102
96
Answer: D
Question: P can finish a work in 18 days. Q can finish the same work in 15 days. Q worked for 10 days and left the job. how many days does P alone need to finish the remaining work?
Choices:
3
4
5
6
Answer: D
Question: Which of the following leads to the correct mathematical solution for the number of ways that the letters of the word DATA could be arranged to create a four-letter code?
Choices:
4!/2!
6! − (3! × 2!)
6!/(3! + 2!)
6!/(3! × 2!)
Answer: A
Question: If each of 4 digit code is formed of integers from 1 to 10, inclusively, and each of the digits are different, how many possible codes are there?
Choices:
6,840
6,240
5,040
4,069
Answer: C
Question: If * stands for /, / stands for -, + stands for * and - stands for +, then
9/15*9+2-9 = ?
Choices:
14.7
14.1
16.2
17.2
Answer: A
Question: Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4000 for 2 years at 10% per annum. The sum placed on simple interest is:
Choices:
Rs.1650
Rs.1750
Rs.2000
Rs.3000
Answer: B
Question: Find the compound interest on $500 in 5years at 5% per annum, the interest being compounded yearly?
Choices:
$138.14
$142.65
$152
$164.12
Answer: A
Question: A case of 12 rolls of paper towels sells for $9. The cost of one roll sold individually is $1.What is the percent T of savings per roll for the 12-roll package over the cost of 12 rolls purchased individually?
Choices:
11%
15%
25%
90%
Answer: C
Question: A man can row a boat at 20 kmph in still water. If the speed of the stream is 4 kmph, what is the time taken to row a distance of 60 km downstream?
Choices:
30/29
30/12
30/13
30/12
Answer: D
Question: What is the place value of 3 in the numeral 3259
Choices:
2800
2900
2980
3000
Answer: D
Question: The area of a rectangular field is equal to 300 square meters. Its perimeter is equal to 70 meters. Find the length of this rectangle.
Choices:
70
20
80
60
Answer: B
Question: If T = 5/9 * (K - 32), and if T = 50, then what is the value of K?
Choices:
119
122
125
128
Answer: B
Question: What is the sum of the integers from -190 to 192 inclusive?
Choices:
5
383
875
965
Answer: B
Question: What is the units digit of (147^25)^49 ?
Choices:
3
5
7
9
Answer: C
Question: A certain cube floating in a bucket of water has between 60 and 85 percent of its volume below the surface of the water. If between 9 and 26 cubic centimeters of the cube's volume is above the surface of the water, then the length of a side of the cube is approximately
Choices:
4
7
8
9
Answer: A
Question: In a kilometer race, A beats B by 80 meters or 10 seconds. What time does A take to complete the race?
Choices:
190 sec
176 sec
115 sec
123 sec
Answer: C
Question: Two pipes P and Q can fill a cistern in 10 and 15 minutes respectively. Both are opened together, but at the end of 2 minutes the first is turned off. How many more minutes will it take for the cistern to fill after the first pipe is turned off?
Choices:
7
8
9
10
Answer: D
Question: An employee may claim Rs. 7.00 for each km when he travels by taxi and Rs. 6.00 for each km if he drives his own car. If in one week he claimed Rs. 595 for traveling 90 km. How many kms did he travel by taxi ?
Choices:
55 kms
65 kms
15 kms
25 kms
Answer: A
Question: Three runners Bob, Mary and James start running around a circular track of length 15m from the same point simultaneously in the same direction at speeds of 1.5 m/s, 2.5 m/s and 4.5 m/s respectively. When will they meet for the first time after they started moving?
Choices:
120 seconds
30 seconds
15 seconds
35 seconds
Answer: C
Question: A man can row a boat at 24 kmph in still water. If the speed of the stream is 16 kmph, what is the time taken to row a distance of 70 km downstream?
Choices:
7/4 hours
8/13 hours
4/13 hours
10/13 hours
Answer: A
Question: Which of the following is non-negative number?
Choices:
(a+1)(a-1)
(a+0.9)(a+1)
(a-0.6)(a-0.6)
a(a+1)
Answer: C
Question: Assume that f(1)=0 and f(m+n)=f(m)+f(n)+4(9mn-1). For all natural numbers (Integers>0)m and n. What is the value of f(17)?
Choices:
4832
4825
4895
4862
Answer: A
Question: If |y + 7| = 12, what is the sum of all the possible values of y?
Choices:
-14
-8
8
12
Answer: A
Question: What is the probability of getting a number less than 4 when a die is rolled?
Choices:
1/2
1/6
4/7
5/12
Answer: A
Question: How many two digit numbers of distinct digits can be formed by using digits 1, 2, 3, 4, 5, 6 and 7 such that the numbers are divisible by 4?
Choices:
8
9
10
11
Answer: C
Question: A courtyard is 25 meter long and 15 meter board is to be paved with bricks of dimensions 20 cm by 10 cm. The total number of bricks required is?
Choices:
27778
18750
27999
17799
Answer: B
Question: The cost of Type 1 rice is Rs.15 per kg and Type 2 rice is Rs.20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then the price per kg of the mixed variety of rice is
Choices:
Rs.19
Rs.18
Rs.18.50
None
Answer: B
Question: How many factors does 49^2 have?
Choices:
8
24
25
36
Answer: D
Question: A code is to be made by arranging 9 letters. five of the letters used will be the letter A, two of the letters used will be the letter B, one of the letters used will be the letter C, and one of the letters used will be the letter D. If there is only one way to present each letter, how many different codes are possible?
Choices:
210
46820
84002
90720
Answer: D
Question: In a race, A beats B by 15 metres and C by 29 metres. If B and C run over the course together, B wins by 15 metres. What is the length of the course?
Choices:
225m
222m
221m
226m
Answer: A
Question: Find the value of x from the equation:
x^2−7x+10=0
Choices:
5 or 2
4 or 2
6 or 1
7 or 4
Answer: A
Question: If a company allocates 10 percent of its budget to advertising, 10 percent to capital improvements, and 72 percent to salaries, what fraction of its budget remains for other allocations?
Choices:
2/25
3/10
1/5
1/10
Answer: A
Question: The sum of ages of 5 children born 3 years different each is 70 yrs. What is the age of the Elder child?
Choices:
19
16
18
20
Answer: D
Question: A person can swim in still water at 12 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 10km?
Choices:
1
5
6
7
Answer: A
Question: Murali travelled from city A to city B at a speed of 20 kmph and from city B to city C at 80 kmph. What is the average speed of Murali from A to C given that the ratio of distances between A to B and B to C is 2 : 3?
Choices:
kmph
kmph
kmph
kmph
Answer: A
Question: If log 27 = 1.431, then the value of log 9 is:
Choices:
0.954
3.68
9.87
4.25
Answer: A
Question: By selling 50 meters of cloth. I gain the selling price of 16 meters. Find the gain percent?
Choices:
44 1/17%
42 6/4%
42 6/8%
42 1/7%
Answer: A
Question: A can do a piece of work in 30 days. He works at it for 5 days and then B finishes it in 20 days. In what time can A and B together it?
Choices:
13 1/3 days
13 1/8 days
13 8/3 days
12 1/3 days
Answer: A
Question: Vicky's salary is 75% more than Ashu's. Vicky got a raise of 40% on his salary while Ashu got a raise of 25% on his salary. By what percent is Vicky's salary more than Ashu's?
Choices:
96%
90%
52.1%
None of these
Answer: A
Question: 25% of all students in a class commute by public transportation. If 10% of the students aspire to be scientists, which of the following can be the percentage of students who do not commute by public transportation and do not aspire to be scientists?
I.	10%
II.	70%
III.	90%
Choices:
II ONLY
III ONLY
I AND II
I AND III
Answer: A
Question: If the average marks of three batches of 50, 60 and 45 students respectively is 50, 55 and 60, then the average marks of all the students is
Choices:
54.83
55
57
None
Answer: A
Question: A train 540 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 120 meters long is?
Choices:
44
54
99
11
Answer: A
Question: Amal borrowed a sum of money with simple interest as per the following rate structure:
(a) 6 p.c. p.a. for the first three years
(b) 8 p.c. p.a. for the next five years
(c) 12 p.c. p.a. for the next eight years
If he paid a total of 5,040 as interest at the end of twelve years, how much money did he borrow?
Choices:
10,000
12,000
6,000
None of these
Answer: D
Question: How many consonants are present between the first and second vowel in the sequence of English alphabet ?
Choices:
3
11
10
None of these
Answer: A
Question: If q > a and L < a, which of the following cannot be true?
Choices:
d - L = 7
d - L = 1
a - q = 9
a + d = 9
Answer: C
Question: Which of the following best approximates the percent by which the distance from A to C along a diagonal of square ABCD reduces the distance from A to C around the edge of square ABCD?
Choices:
30%
45%
50%
70%
Answer: A
Question: Irin, Ingrid and Nell bake chocolate chip cookies in the ratio of 9.18: 5.17: 2.05. If altogether they baked a batch of 170 cookies, what percent of the cookies did Irin bake?
Choices:
1.25%
12.5%
53.5%
0.152%
Answer: C
Question: A credit card number has 6 digits (between 1 to 9). The first two digits are 12 in that order, the third digit is bigger than 6, the forth is divisible by 3 and the fifth digit is 3 times the sixth. How many different credit card numbers exist?
Choices:
27
72
112
422
Answer: A
Question: The population of a village is 7800. It increases annually at the rate of 18% p.a. What will be its population after 2 years?
Choices:
12000
13000
10860
14400
Answer: C
Question: Find the fourth proportional to 2.7, 4.6 and 7.6?
Choices:
12.95
15.23
15.95
16
Answer: A
Question: If x and y are integers such that |y + 3| ≤ 3 and 2y – 3x + 6 = 0, what is the least possible value Q of the product xy?
Choices:
-3
0
2
None of the above
Answer: B
Question: The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 400 resolutions?
Choices:
563.2 m
287 m
278 m
927 m
Answer: A
Question: The sector of a circle has radius of 21 cm and central angle 135o. Find its perimeter?
Choices:
91.5 cm
62.9 cm
27.8 cm
21.2 cm
Answer: A
Question: Find the area of a rhombus one side of which measures 20 cm and one diagonal is 25 cm.
Choices:
600cm2
500cm2
400cm2
100cm2
Answer: C
Question: Find the number of square tiles to cover the floor of a room measuring 6 m * 10 m leaving 0.50 m space around the room. A side of square tile is given to be 50 cms?
Choices:
180
277
18
150
Answer: A
Question: Little Texas Drilling Company has three wells, each producing oil at a constant rate. Well A produces one barrel every two minutes. Well B produces one barrel every three minutes. Well C produces one barrel every four minutes. How many hours does it take Little Texas Drilling Company to produce 195 barrels of oil?
Choices:
3
4
18
180
Answer: B
Question: A number is said to be a “digifac” if each of its digits is a factor of the number itself. What is the sum of the missing digits of the following five-digit digifac: 9, 5, 3 _ _ ?
Choices:
7
9
10
14
Answer: C
Question: A soccer store typically sells replica jerseys at a discount of 30 percent to 50 percent off list price. During the annual summer sale, everything in the store is an additional 20 percent off the original list price. If a replica jersey's list price is $80, approximately what percent Q of the list price is the lowest possible sale price?
Choices:
25
30
40
50
Answer: C
Question: All votes cast in a recent presidential election were for either the incumbent or the challenger. The challenger received 5.4 million votes and the incumbent received 5 million. If after a recount of the votes and the addition of previously uncounted absentee ballots, the incumbent had 5.2 million votes while the challenger had 5.4million, then the percentage of the total number of votes that were for the challenger
Choices:
decreased by approximately 10 %
neither increased nor decreased
increased approximately 1%
increased approximately 2%
Answer: A
Question: The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 7967 for a computer table, then what was the cost price of the computer table?
Choices:
6425
2871
6725
2981
Answer: A
Question: In assembling a Bluetooth device, a factory uses one of two kinds of modules. One module costs $8 and the other one, that is cheaper, costs $3. The factory holds a $100 worth stock of 25 modules. How many of the modules in the stock are of the cheaper kind?
Choices:
20
22
23
24
Answer: A
Question: An amount of Rs. 100000 is invested in two types of shares. The first yields an interest of 9% p.a and the second, 11% p.a. If the total interest at the end of one year is 9 3/4 %, then the amount invested in each share was?
Choices:
37500
29977
26777
19871
Answer: A
Question: If,
1 * 3 * 5 = 16
3 * 5 * 7 = 38
Then find,
9 * 11 * 13 =?
Choices:
152
68
38
55
Answer: A
Question: What percent is 150 of 90?
Choices:
163 2/3%
166 2/3%
166 3/3%
None of these
Answer: B
Question: Sarah is driving to the airport. After driving at 15 miles per hour for one hour, she realizes that if she continues at that same average rate she will be an hour late for her flight. She then travels 60 miles per hour for the rest of the trip, and arrives 30 minutes before her flight departs. How many miles did she drive in all?
Choices:
45
210
245
280
Answer: A
Question: Six machines at a certain factory operate at the same constant rate. If five of these machines, operating simultaneously, take 30 hours to fill a certain production order, how many fewer hours does it take all six machines, operating simultaneously, to fill the same production order?
Choices:
5
6
16
24
Answer: A
Question: If x ≠ 0 and (y^2 + xy)/x=y+x, which of the following expressions is equal to its opposite?
Choices:
x^2 + y^2
x^2 - y^2
(y + x)^2
(x – y)^2
Answer: B
Question: Convert 800 miles into meters?
Choices:
1287472
804670
784596
864520
Answer: A
Question: Out of three consecutive odd numbers eight times the first number is equal to addition of thrice the third number and adding 5 to twice the second . What is the first number?
Choices:
6
7
8
9
Answer: B
Question: A bag contains an equal number of one rupee, 50 paise and 25 paise coins respectively. If the total value is 70, how many coins of each type are there?
Choices:
30 coins
40 coins
25 coins
None of these
Answer: B
Question: Y = {2, 3, 4, 5}
B = {4, 5, 6, 7, 8}
Two integers will be randomly selected from the sets above, one integer from set Y and one integer from set B. What is the probability that the sum of the two integers will equal 9 ?
Choices:
0.20
0.25
0.30
0.33
Answer: A
Question: Three friends had dinner at a restaurant. When the bill was received, Akshitha paid 1/4 as much as Veena paid and Veena paid 1/2 as much as Lasya paid. What fraction of the bill did Veena pay ?
Choices:
3/12
3/11
3/10
4/13
Answer: D
Question: Of the 200 stamps in a collection, 90 are foreign and 70 are more than 10 years old. If 20 stamps are both foreign and more than 10 years old, how many stamps are neither foreign nor more than 10 years old?
Choices:
60
100
130
150
Answer: A
Question: The ratio of the age of a man and his wife is 4:3. At the time of marriage the ratio was 5:3 and After 4 years this ratio will become 9:7. How many years ago were they married?
Choices:
9
10
11
12
Answer: D
Question: If a = -0.2, which of the following is true?
Choices:
a^2 < a^3 < a
a < a^3 < a^2
a^2 < a < a^3
a^3 < a < a^2
Answer: B
Question: total race distance 2100
A flight beat B flight by 420 when wind is in the race direction,it beats B by 300 when opposite.find the still fight speeds
Choices:
360
400
450
480
Answer: A
Question: Jodi is given the perimeter of a rectangle. She also knows
that the length is twice as many meters as the width. Using the formula for finding the perimeter
of a rectangle, find the dimensions of the rectangle
Choices:
21 meters wide and 42 meters long.
41 meters wide and 82 meters long.
11 meters wide and 22 meters long.
51 meters wide and 102 meters long.
Answer: A
Question: Lindsay can paint 1/x of a certain room in one hour. If Lindsay and Joseph, working together at their respective rates, can paint the room in six hours, what fraction of the room can Joseph paint in 20 minutes?
Choices:
x/(x-3)
(x-6)/18x
x/(x-6)
(x-6)/x
Answer: B
Question: The ratio of boarders to day students at a school was originally 5 to 12. However, after a number of new boarders join the initial 330 boarders, the ratio changed to 1 to 2. If no boarders became day students and vice versa, and no students left the school, how many new boarders joined the school?
Choices:
66
72
80
84
Answer: A
Question: A pool can be filled in 4 hours and drained in 5 hours. The valve that fills the pool was opened at 9:00 am and some time later the drain that empties the pool was also opened. If the pool was filled by 6:00 pm and not earlier, when was the drain opened?
Choices:
11:45 am
12:45 pm
1:45 pm
2:45 pm
Answer: A
Question: If the wheel is 28 cm then the number of revolutions to cover a distance of 1056 cm is?
Choices:
5
26
12
6
Answer: D
Question: AB + CD = SSS, where AB and CD are two-digit numbers and SSS is a three digit number; A, B, C, and D are distinct positive integers. In the addition problem above, what is the value of C?
Choices:
3
7
9
Cannot be determined
Answer: C
Question: Raja spends 60% of his monthly income on household items, 10% of his monthly income on buying cloths, 10% of his monthly income on medicines and saves the remaining amount which is Rs. 5000. Find his monthly income.
Choices:
Rs. 36000
Rs. 50000
Rs. 25000
None of these
Answer: C
Question: 51 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
Choices:
13
14
15
17
Answer: D
Question: A right triangle has sides of a, b, and 13, respectively, where a and b are both integers. What is the value of (a + b)?
Choices:
169
162
164
166
Answer: A
Question: If 5/(a - 5) = -7/(a + 7), then a = ?
Choices:
-35/6
-33/6
-29/6
-37/6
Answer: A
Question: You collect baseball cards. Suppose you start out with 16. Since you're nice, you give John 3 baseball cards. How many baseball cards do you have at the end?
Choices:
12
13
14
15
Answer: B
Question: Convert 60miles into yards?
Choices:
105600 yards
39520 yards
42560 yards
41520 yards
Answer: A
Question: If 2 men or 3 women can reap a field in 10 days how long will 4 men and 5 women take to reap it?
Choices:
11/30
3/60
5/42
7/12
Answer: A
Question: Find the length of the wire required to go 14 times round a square field containing 5625 m2.
Choices:
3388
4200
8766
66711
Answer: B
Question: The volume of the greatest sphere that can be cut off from a cylindrical log of wood of base radius 1 cm and height 5 cm is :
Choices:
4/3∏
5∏
5/9∏
None
Answer: A
Question: Ashok secured average of 75 marks in 6 subjects. If the average of marks in 5 subjects is 74, how many marks did he secure in the 6th subject?
Choices:
27
99
17
80
Answer: D
Question: The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 39 kmph, find the speed of the stream?
Choices:
13 kmph
14 kmph
15 kmph
16 kmph
Answer: A
Question: What is the probability of getting a sum 9 from two throws of dice.
Choices:
1/9
1/12
2/9
None of these
Answer: A
Question: The smallest 3 digit prime number is
Choices:
B)103
C)109
D)101
E)None
Answer: C
Question: P and Q need 8 days to complete a work. Q and R need 12 days to complete the same work. But P, Q and R together can finish it in 6 days. How many days will be needed if P and R together do it?
Choices:
8
12
4
6
Answer: A
Question: How many integers from 101 to 200, inclusive, are divisible by 3 but not divisible by 7?
Choices:
25
28
30
40
Answer: B
Question: Country X imposes a two-tiered tax on imported cars: the first tier imposes a tax of 25% 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 15%. If Ron imported a $30,000 imported car and ended up paying $5500 in taxes, what is the first tier's price level?
Choices:
$10000
$12000
$10500
$11500
Answer: A
Question: In how many years will a sum of money doubles itself at 5% per annum on simple interest?
Choices:
20 years
22 years
31years
13years
Answer: A
Question: One fourth of one third of two fifth of a number is 15. What will be40% of that number
Choices:
150
180
200
250
Answer: B
Question: If a merchant makes a profit of 20% based on the selling price of an article, what percent does the merchant makes on the cost?
Choices:
40
25
50
None of These
Answer: B
Question: Today my car meter reads as 72827 kms. I notes that this is a palindrome. How many minimum kms i need to travel so my car meter find another palindrom.
Choices:
115 kms
110 kms
160 kms
120 kms
Answer: C
Question: Train A is 13 miles ahead of Train B, which is traveling the same direction along the same route as Train A. If Train A is traveling at an average speed of 37 miles per hour and Train B is traveling at an average speed of 43 miles per hour, how long will it take Train B to overtake and drive 17 miles ahead of Train A?
Choices:
2 hours
2 hours 30 minutes
5 hours
3 hours 20 minutes
Answer: C
Question: A tank holds x gallons of a saltwater solution that is 20% salt by volume. One Fourth of the water is evaporated, leaving all of the salt. When 5 Gallons of water and 10 gallons of salt are added, the resulting mixture is 33 1/3 % salt by volume. What is the value of x?
Choices:
75
100
150
175
Answer: A
Question: In the line xy plane line m has the equation y = 3x - 10, then the line m passes through which of the following points?
Choices:
(3, 4)
(4, 2)
(6, 9)
(6, 15)
Answer: B
Question: How many diagonals does a polygon with 13 sides have, if one of its vertices does not connect to any diagonal?
Choices:
62
58
54
60
Answer: C
Question: The greatest possible length which can be used to measure exactly the length 6m, 4m 20cm, 4m is
Choices:
20
35
87
98
Answer: A
Question: Look at this series: 544, 509, 474, 439, ... What number should come next?
Choices:
404
420
445
500
Answer: A
Question: Two couples and one single person are seated at random in a row of five chairs. What is the probability that neither of the couples sits together in adjacent chairs?
Choices:
1/4
3/8
2/5
1/2
Answer: C
Question: A certain football coach allows his quarterback to call three plays in a row. If the quarterback can choose from 3 passing plays, 4 running plays, and 2 trick plays, how many different N arrangements of plays can be run, if the same play can’t be run more than once?
Choices:
125
243
504
729
Answer: C
Question: What is the next number in this Sequence ?
6, 14, 36, 98, 276, ?
Choices:
794
453
564
123
Answer: A
Question: The product of x and y is a constant. If the value of x is increased by 80%, by what percentage must the value of y be decreased?
Choices:
55%
35%
40%
44.44%
Answer: D
Question: How many sides does the polygon have if the sum of the interior angles measures up to 360 degrees?
Choices:
4
3
7
None of these
Answer: A
Question: A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?
Choices:
8 months
4 months
2 months
None
Answer: A
Question: If 2x+3y+z=55,x-y=4 and y - x + z=12,then what are the values of x , y and z?
Choices:
7,11,8
4,2,5
3,9,8
None of them
Answer: A
Question: If a man travels f miles an hour for h hours and r miles an hour for s hours, what is his average rate in miles per hour for the entire distance traveled?
Choices:
(fh + rs)/2
h/f + s/r
(fh + rs)/(h - s)
(fh + rs)/(h + s)
Answer: D
Question: X and Y started a business by investing Rs.36000 and Rs.42000 respectively after 4 months Z joined in the business with an investment of Rs.48000, then find share of Z in the profit of Rs.14300 ?
Choices:
4000
3250
4160
3985
Answer: C
Question: 2x<4y<0 which of the following is the greatest?
Choices:
-(5x+4y)
2x-2y
x-3y
0
Answer: A
Question: In what ratio should a variety of rice costing Rs. 5 per kg be mixed with another variety of rice costing Rs. 8.75 per kg to obtain a mixture costing Rs. 7.50 per kg?
Choices:
1/2
5/1
5/3
7/6
Answer: A
Question: A car travels first 160 km at 75 km/hr and the next 160 km at 80 km/hr. What is the average speed for the first 320 km of the tour?
Choices:
71.12
71.1
71.17
77.42
Answer: D
Question: The positive number a is q percent greater than the positive number b, which is y percent less than a itself. If a is increased by y percent, and the result is then decreased by q percent to produce a positive number c, which of the following could be true?
I. c > a
II. c = a
III. c < a
Choices:
II only
III only
I and II only
II and III only
Answer: B
Question: The length of a rectangular floor is more than its breadth by 200%. If Rs. 300 is required to paint the floor at the rate of Rs. 5 per sq m, then what would be the length of the floor?
Choices:
13.42
18
16
14
Answer: A
Question: A girl has nine jeans and 11 shirts. In how many different ways can she select a jeans and a shirts?
Choices:
B)99
C)108
D)110
E)112
Answer: A
Question: A Jar contains a mixture of AB in the ratio 3:2. When 10 L of Mixture is replaced with liquid B, ratio becomes 2:3. How many liters of liquid A was present in mixture initially.
Choices:
18
16
20
25
Answer: A
Question: A driver took a trip consisting of three segments at three different speeds. The driver drove a distance of (3D) at a speed of (2V), then a distance of (7D) at a speed of (3V), then a distance of D at a speed of (6V). In terms of D and V, what was the total time of the trip?
Choices:
4D/V
5D/V
6D/V
7D/V
Answer: A
Question: The sum of two numbers is 110. Five times one number is equal to 6 times the other. The bigger of the two numbers is
Choices:
12
14
15
60
Answer: D
Question: If 15 oranges are bought for a rupee, how many must be sold for a rupee to gain 25%?
Choices:
12
20
18
None of these
Answer: A
Question: If a*b denotes the greatest common divisor of a and b, then ((20*16)*(18*24)) = ?
Choices:
12
6
4
2
Answer: D
Question: A person travels equal distances with speeds of 5km/hr, 10km/hr, 15km/hr. and takes a total time of 11minutes. Find the total distance ?
Choices:
1500mts
1600mts
2km
1250mts
Answer: A
Question: If A(k)=(k+1)^2, and k=1, what is the value of A(A(A(A(k))))?
Choices:
557321
258327
458329
4422
Answer: C
Question: Revathi bought an electric cooker at 90% of the regular price. She paid $270 for the cooker. What was the regular price?
Choices:
$300
$360
$380
$400
Answer: A
Question: Two trains, A and B, started simultaneously from opposite ends of a 120-mile route and traveled toward each other on parallel tracks. Train A, traveling at a constant rate, completed the 120-mile trip in 6 hours; Train B, traveling at a constant rate, completed the 120-mile trip in 4 hours. How many miles had train A traveled when it met train B?
Choices:
36
48
50
54
Answer: B
Question: With a uniform speed a car covers the distance in 8 hours. Had the speed been increased by 1 km/hr, the same distance could have been covered in 7 1/2 hours. What is the distance covered?
Choices:
480 km
278 km
120 km
671 km
Answer: C
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
5
9
1
Answer: A
Question: A man sold 18 toys for Rs. 16800, gaining thereby the cost price of 3 toy find the cost price of a toy
Choices:
Rs. 800
Rs.500
Rs.900
Rs.970
Answer: A
Question: The percentage profit earned by selling an article for Rs. 1320 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?
Choices:
1230
2000
1625
3400
Answer: C
Question: A sum of Rs. 350 made up of 110 coins, which are of either Rs. 1 or Rs. 5 denomination. How many coins are of Rs. 5?
Choices:
60
62
72
None
Answer: A
Question: How many seconds will a train 100 meters long take to cross a bridge 130 meters long if the speed of the train is 36 kmph?
Choices:
23 sec
25 sec
45 sec
24 sec
Answer: A
Question: If grapes are 92% water and raisins are 20% water, then how much did a quantity of raisins, which currently weighs 14 pounds, weigh when all the raisins were grapes? (Assume that the only difference between their raisin-weight and their grape-weight is water that evaporated during their transformation.)
Choices:
46 pounds
92 pounds
100 pounds
140 pounds
Answer: D
Question: Two trains of length 150 m and 250 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 36 kmph. In how much time will the trains cross each other?
Choices:
80/7 sec
80/9 sec
80/5 sec
20 sec
Answer: D
Question: A sum of money is to be divided among Ann, Bob and Chloe. First, Ann receives $4 plus one-half of what remains. Next, Bob receives $4 plus one-third of what remains. Finally, Chloe receives the remaining $32. How much money R did Bob receive?
Choices:
22
24
26
52
Answer: A
Question: A two digit number reversed and multiplied by 4 is 3 more than the original digit. what is the digit?
Choices:
61
63
64
66
Answer: A
Question: In how many years does a sum of Rs. 4000 yield a simple interest of Rs. 16500 at 15% p.a.?
Choices:
27.5 years
25.5 years
28.5 years
29.5 years
Answer: A
Question: How many meters of carpet 50cm, wide will be required to cover the floor of a room 30m * 20m?
Choices:
2777
2999
1200
2788
Answer: C
Question: Myra drove at an average speed of 30 miles per hour for the first 30 miles of a trip, at an average speed of 60 miles per hour for the next 30 miles and at a average speed of 90 miles/hr for the remaining 30 miles of the trip. If she made no stops during the trip, Myra’s average speed in miles/hr for the entire trip was closest to
Choices:
The average speed is 40 miles per hour.
The average speed is 45 miles per hour.
The average speed is 50 miles per hour.
The average speed is 55 miles per hour.
Answer: C
Question: The simple form of the ratio 5/3:2/5 is?
Choices:
10:3
25:6
25:3
30:3
Answer: B
Question: How many numbers between 0 and 1770 have a prime tens digit and a prime units digit?
Choices:
272
278
284
290
Answer: C
Question: If 4<(1-x)/3, which of the following must be true?
I. 5<x
II. |x+3|>2
III. -(x+5) is positive
Choices:
III only
I and II only
II and III only
I, II and III
Answer: D
Question: If two numbers are in the ratio 2:3. If 12 is added to both of the numbers then the ratio becomes 3:4 then find the smallest number?
Choices:
B)18
C)20
D)24
E)26
Answer: C
Question: A train covers a certain distance at a speed of 400kmph in 3 hours. To cover the same distance in 2 2/3 hours, it must travel at a speed of
Choices:
450km/hr
550km/hr
750km/hr
650km/hr
Answer: A
Question: In Rwanda, the chance for rain on any given day is 1/2. What is the probability that it rains on 5 out of 7 consecutive days in Rwanda?
Choices:
3/7
21/128
4/28
28/135
Answer: B
Question: A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
Choices:
16 sec
87 sec
17 sec
11 sec
Answer: A
Question: 10 men can complete a work in 7 days. But 10 women need 14 days to complete the same work. How many days will 5 men and 10 women need to complete the work?
Choices:
5
6
7
8
Answer: C
Question: Sandy had $224 left after spending 30% of the money she took for shopping. How much money did Sandy take along with her?
Choices:
$290
$320
$350
$380
Answer: B
Question: Of the families in City X in 1992, 30 percent owned a personal computer. The number of families in City X owning a computer in 1999 was 50 percent greater than it was in 1992, and the total number of families in City X was 5 percent greater in 1999 than it was in 1994. what percent of the families in City X owned a personal computer in 1999?
Choices:
42.85%
45.25%
46.23%
41.66%
Answer: A
Question: How many positive integers will divide evenly into 320?
Choices:
8
16
18
20
Answer: A
Question: There were 35 students in a hostel. Due to the admission of 7 new students, ;he expenses of the mess were increased by Rs. 42 per day while the average expenditure per head diminished by Rs 1. Wbat was the original expenditure of the mess?
Choices:
720
425
625
420
Answer: D
Question: Valentine day 14 Feb. 2005 was celebrated by Anand and shilpa on Monday. They were very happy. What day of the week would come on 14 Feb. 2011?
Choices:
tuesday
sunday
wednesday
thursday
Answer: A
Question: A Fisher man can row 4 km against the stream in 30 minutes and returns in 20 minutes. What is the speed of the current?
Choices:
2 km/hr
3 km/hr
4 km/hr
5 km/hr
Answer: A
Question: An automobile financier claims to be lending money at simple interest, but he includesthe interest every six months for calculating the principal. If he is charging an interest of10%, the effective rate of interest becomes:
Choices:
10.25%
10.5%
none of these
Cannot be determined
Answer: A
Question: The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?
Choices:
340
342
346
341
Answer: B
Question: If 5 parallel lines in a plane is intersected by a family of another 8 parallel lines, how many parallelograms are there in the network thus formed?
Choices:
280
120
160
1260
Answer: A
Question: A man invests Rs. 5,000 at the rate of 5% per annum. How much more should he invest at the rate of 8%, so that he can earn a total of 6% per annum?
Choices:
Rs. 1300
Rs. 2500
Rs. 2000
None of these
Answer: B
Question: The probability that a number selected at random from the first 50 natural numbers is a composite number is ?
Choices:
17/25
17/17
17/19
17/12
Answer: A
Question: A train is 360 meter long is running at a speed of 47 km/hour. In what time will it pass a bridge of 140
meter length.
Choices:
38.3 seconds
48.3 seconds
58.3 seconds
None of these
Answer: A
Question: The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 100 metres?
Choices:
17
22
20
13
Answer: C
Question: On dividing a certain number by 5, 7 and 8 successively, the remainders obtained are 2, 3 and 4 respectively. When the order of division is reversed and the number is successively divided by 8, 7 and 5, the respective remainders W will be:[/b]
Choices:
3, 4, 2
5, 4, 3
W=5, 5, 2
W=6, 4, 3
Answer: C
Question: One boss decided to increase the salary of an employee by 5%. How much will he get if his salary was Rs.2000?
Choices:
2000
2100
2300
None
Answer: B
Question: Sonika bought a V.C.R. at the list price of 18,800. If the rate of sales tax was 8%, find the amount she had to pay for purchasing the V.C.R.
Choices:
20,304
19,680
19,380
None of these
Answer: A
Question: If (1+m)n=n, which of the following must be true?
Choices:
m=0 or n=0
m=1 or n=1
m=-1 or n=-1
m=0 or n=1
Answer: A
Question: A certain quantity of 50% solution is replaced with 25% solution such that the new concentration is 35%. What is the fraction of the solution that was replaced?
Choices:
1/3
1/2
2/3
3/5
Answer: D
Question: The average age of a committee of 8 members is 52 years. A member aged 65 years retired and his place was taken by another member aged 42 years . The average age of
present committee is;
Choices:
38 years
36 years
35 years
49.1 years
Answer: D
Question: The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 867 sq m, then what is the breadth of the rectangular plot?
Choices:
17 m
26 m
28 m
78 m
Answer: A
Question: There are 25 balls which are red, blue or green. If 8 balls are blue and the sum of green balls and blue balls is less than 17, at most how many green balls are there?
Choices:
8
6
7
10
Answer: A
Question: An outlet pipe can empty 2/3 of a cistern in 20 minutes. In 8 minutes, what part of the cistern will be emptied?
Choices:
1/3
2/9
4/15
9/20
Answer: C
Question: A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 45 times, A has killed:
Choices:
50 birds
30 birds
80 birds
20 birds
Answer: A
Question: Each light bulb at a hotel is either incandescent or fluorescent. At a certain moment, thirty percent of the incandescent bulbs are switched on, and eighty percent of the fluorescent bulbs are switched on. If 40 percent of all the bulbs are switched on at this moment, what percent of the bulbs that are switched on are incandescent?
Choices:
40%
50%
60%
80%
Answer: C
Question: Three math classes: X, Y, and Z, take an algebra test. The average score in class X is 83. The average score in class Y is 76. The average score in class Z is 85. The average score of all students in classes X and Y together is 79. The average score of all students in classes Y and Z together is 81. What is the average for all the three classes?
Choices:
70.3
81.3
85.3
94.3
Answer: B
Question: In a group of 70 people,60 like swimming,50 like wrestling. How many like both swimming and wrestling?
Choices:
35
40
45
50
Answer: B
Question: Tough and Tricky questions: Coordinate Geometry.
Line L contains the points (2,3) and (e,q). If q = 2, which of the following could be the equation of line m, which is perpendicular to line L?
Choices:
2x + y = ex + 7
x + 2y = ex + 7
y – 7 = x ÷ (e – 2)
2x + y = 7 – ex
Answer: A
Question: A group of hikers is planning a trip that will take them up a mountain using one route and back down using another route. They plan to travel down the mountain at a rate of one and a half times the rate they will use on the way up, but the time each route will take is the same. If they will go up the mountain at a rate of 3 miles per day and it will take them two days, how many miles long is the route down the mountain?
Choices:
8
9
10
11
Answer: B
Question: A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?
Choices:
3 m
5.82 m
4.65 m
None of these
Answer: A
Question: A man is facing west. He turns 45 degree in the clockwise direction and then another 180 degree in the same direction and then 270 degree in the anticlockwise direction. Find which direction he is facing now ?
Choices:
south-west
south
east-south
east
Answer: A
Question: It is required to seat 5 boys and 4 girls in a row so that the girls occupy the even places. How many such arrangements are possible?
Choices:
2880
3680
3280
3680
Answer: A
Question: The polynomial P(x) = x4 + 4x3 + 8x2 + 8x + 4 is the square of another polynomial Q(x) =
ax2 + bx + c with positive coecients a, b, and c. Compute 4a + 2b + c.
Choices:
4
6
8
10
Answer: D
Question: 96 +97+98+99=390. How many such 4 consecutive numbers are there less than 5000 when added gives a sum which is divisible by 10?
Choices:
300
500
1000
1500
Answer: C
Question: The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is:
Choices:
3900
2600
3100
7400
Answer: A
Question: Let q represent the integer length of a side of a triangle. If r represents the number of distinct values for q such that we can create a triangle with lengths q, 14, and 19, what is the value of r?
Choices:
21
26
27
33
Answer: C
Question: If 6 persons can do 6 times of a particular work in 6 days, then, 7 persons can do 7 times of that work in?
Choices:
4 days
6 days
7 days
8 days
Answer: B
Question: A baker filled with a measuring cup with 7/8 cup water. He poured 1/2 of the water into the batter, and then spilled 1/8 of the water on the floor. How much water will the baker needed to add what is left in the cup to have 50% more than what he started with?
Choices:
3/8 cup
1/4 cup
1/2 cup
8/8 cup
Answer: D
Question: . By selling 12 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
Choices:
8
5
3
1
Answer: A
Question: On an order of 5 dozen boxes of a consumer product, a retailer receives an extra dozen free. This is equivalent to allowing him a discount of:
Choices:
16 2/3%
10 2/3%
29 1/3%
16 2/3%
Answer: D
Question: What is the next number of the following sequence
12, 6, 24, 12, 48, 24, (...)
Choices:
72
84
96
102
Answer: C
Question: Positive integer y is 50 percent of 50 percent of positive integer x, and y percent of x equals 16. What is the value of x?
Choices:
40
80
160
320
Answer: B
Question: Insert the missing number
10, -20, 40, -80, 160, (....)
Choices:
-420
420
-320
0
Answer: C
Question: Each week, Harry is paid X dollars per hour for the first 30 hours and 1.5X dollars for each additional hour worked that week. Each week, James is paid X dollars per hour for the first 40 hours and 2X dollars for each additional hour worked that week. Last week James worked a total of 56 hours. If Harry and James were paid the same amount last week, how many hours did Harry work last week?
Choices:
36
37
38
58
Answer: D