antoine-444/aqua_rat_dataset huggingface dataset:
Question: Bruno and Sacha are running in the same direction around a stadium. Sacha runs at a constant speed of 6 meters per second, and Bruno runs at a constant speed of 5 meters per second. At a certain point Sacha overtakes Bruno. If six minute afterward, Sacha stops and waits for Bruno to reach him, then how many seconds does he have to wait?
Choices:
24
36
60
72
Answer: D
Question: In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
Choices:
63
70
74
80
Answer: A
Question: A man buys s cycle for $100 and sells it at a loss of 18%. What is the selling price of the cycle?
Choices:
$60
$70
$82
$90
Answer: C
Question: The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?
Choices:
90 kg
85 kg
Data inadequate
None of these
Answer: B
Question: If x^2 – 4x = 5, then one possible value of x – 2 =
Choices:
-5
-3
-1
5
Answer: B
Question: Of the 5 numbers, whose average is 80, the first is one-fourth of the sum of the last 4. The first number is?
Choices:
80
78
56
67
Answer: A
Question: Mrs. Rodger got a weekly raise of $125. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
Choices:
$ 146
$ 125
$ 148
None
Answer: B
Question: A bus started from bus stand at 8.00a m and after 30 min staying at destination, it returned back to the bus stand. The destination is 27 miles from the bus stand. The speed of the bus 50 percent fast speed. At what time it returns to the bus stand.
Choices:
11a.m
10a.m
10.30p.m
11.30p.m
Answer: A
Question: Pipe P can fill a tank in 2 hours, pipe Q in 4 hours and pipe R in 12 hours. If all the pipes are open, in how many hours will the tank be filled?
Choices:
1.2 hours
3 hours
1.5 hours
2.5 hours
Answer: A
Question: In a partnership between A, B and C. A's capital is Rs.6000. If his share of a profit of Rs.800 is Rs.200 and C's share is Rs.130, what is B's capital?
Choices:
19766
29172
14100
11267
Answer: C
Question: total 63 matches are conducted in Knockout match type. How many players will be participated in that tournament?
Choices:
61
62
63
64
Answer: D
Question: A money lender finds that due to a fall in the annual rate of interest from 8% to 7 3/4 % his yearly income diminishes by Rs. 60.50, his capital is?
Choices:
24,200
24,600
24,628
24,6012
Answer: A
Question: Martin bought 10 concert tickets, some at the full price of $2.00 per ticket, and some at a discounted price of $1.60 per ticket. If he spent a total of $18.80, how many discounted tickets did he buy?
Choices:
3
5
6
7
Answer: A
Question: A clock is set right at 8 a.m. The clock gains 10 minutes in 24 hours will be the true time when the clock indicates 1 p.m. on the following day?
Choices:
48 min. past 12
48 min. past 19
48 min. past 11
48 min. past 16
Answer: A
Question: If 2/w + 2/x = 2/y and wx = y, then the average (arithmetic mean) of w and x is
Choices:
1/2
2
4
8
Answer: A
Question: A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 52 years now, the son's age 10 years back was?
Choices:
16yr
14yr
10yr
20yr
Answer: A
Question: Rice weighing 33/4 pounds was divided equally and placed in 4 containers. How many ounces of rice were in each?
Choices:
15 ounces
19 ounces
17 ounces
14 ounces
Answer: A
Question: Working at their respective constant rates, machine A makes 100 copies in 20 minutes and machine B makes 150 copies in 10 minutes. If these machines work simultaneously at their respective rates for 30 minutes, what is the total number of copies that they will produce?
Choices:
425
675
700
600
Answer: D
Question: By approximately what percent is x greater than 4/7 if (1/7)(x) = 1?
Choices:
1125%
417%
3788%
219%
Answer: A
Question: 6 people meet for a business dinner. Each person shakes hands once with each other person present. How many handshakes take place?
Choices:
21
18
15
10
Answer: C
Question: A number is doubled and 11 is added. If resultant is doubled, it becomes 74. What is that number
Choices:
10
13
14
16
Answer: B
Question: P can do the work in 12 days and Q can do the same work in 20 days. If they work together for 4 days, what is the fraction of work that is left?
Choices:
7/15
11/15
23/30
41/60
Answer: A
Question: If a particular player is never chosen, in how many ways can 11 cricket players be chosen out of 18 players?
Choices:
12156
12376
12380
12390
Answer: B
Question: The speed of a boat in upstream is 100 kmph and the speed of the boat downstream is 130 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
15 kmph
19 kmph
17 kmph
29 kmph
Answer: A
Question: Sarah, Fatima, Salma, and Lina all got scholarship packages to the college they applied to. The average of Sarah, Fatima, and Salma's scholarships was $20000. The average of Fatima, Salma, and Lina's tips was $17000. If Lina earned $15000, what was Sarah awarded?
Choices:
$24000
$27000
$30000
$32000
Answer: A
Question: Company Z has 53 employees. If the number of employees having birthdays on Wednesday is more than the number of employees having birthdays on any other day of the week, each of which have same number of birth-days, what is the minimum number of employees having birthdays on Wednesday.
Choices:
7
8
11
12
Answer: C
Question: Out of 11 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?
Choices:
26/13
26/31
26/33
5/33
Answer: C
Question: Priya covers journey from kavali to nellore by car at average speed of 60 Km/hr. She returns back by scooty with an average speed of 40 Km/hr. Find her average speed during the whole journey?
Choices:
48Km/hr
50Km/hr
52Km/hr
53km/hr
Answer: A
Question: Find the 10th and 12th term of the series 1, 3.5, 6, 8.5,...? And their ratio is?
Choices:
2.5
1.21
3.4
2
Answer: B
Question: 10 3/4 + 7 2/17 - 9 1/15=?
Choices:
9 817/1020
9 719/1020
8 817/1020
None of them
Answer: C
Question: 4 dice are thrown simultaneously on the board. Find the probability show the same face.
Choices:
3/155
1/216
2/213
3/212
Answer: B
Question: Some persons can do a piece of work in 32 days. Two times the number of these people will do half of that work in?
Choices:
4
5
6
8
Answer: D
Question: Starting with 0, a mathematician labels every non-negative integer as one of five types: alpha, beta, gamma, delta, or epsilon, in that repeating order as the integers increase. For instance, the integer 8 is labeled delta. What is the label on an integer that is the sum of an alpha raised to the seventh power and a gamma raised to the seventh power?
Choices:
beta
gamma
delta
epsilon
Answer: B
Question: How many words, meaningful or meaningless, can be formed by shuffling the letters of the word INFORMATION?
Choices:
11!/2!
11!/(2!^3)
11!/{(3!)(2!^3)}
6!
Answer: B
Question: A right triangle AQC has to be constructed in the xy-plane so that the right angle is at A and AQ is parallel to x axis. The coordinates of A, Q and C are integers and satisfy the inequalities -1 ≤ x ≤ 7 and 1 ≤ y ≤ 7. How many different triangles can be constructed with these properties?
Choices:
336
567
3024
5040
Answer: C
Question: A club wants to mix 20 pounds of candy worth $10.00 per pound with candy worth $5.00 per pound to reduce the cost of the mixture to $6.00 per pound. How many pounds of the $5.00 per pound candy should be used?
Choices:
50
60
70
80
Answer: D
Question: If all of the telephone extensions in a certain company must be even numbers, and if each of the extensions uses all four of the digits 1, 2, 5, and 6, what is the greatest number of four-digit extensions that the company can have?
Choices:
6
11
12
24
Answer: C
Question: Two trains start at same time from two stations and proceed towards each other at the rate of 20 km/hr and 25 km/hr respectively. When they meet, it is found that one train has traveled 70 km more than the other. What is the distance between the two stations?
Choices:
630 km
276 km
178 km
176 km
Answer: A
Question: If the sides of a triangle are 28 cm, 26 cm and 10 cm, what is its area?
Choices:
112 cm2
776 cm2
130 cm2
886 cm2
Answer: C
Question: The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 180 resolutions?
Choices:
704 m
287 m
278 m
253.4 m
Answer: D
Question: What is the next number of the following sequence
123, 444, 888, 1776, 8547, . . . .
Choices:
16005
27887
27072
27081
Answer: A
Question: If a certain coin is flipped, the probability that the coin will land heads is 1/2. If the coin is flipped 5 times, what is the probability that it will land heads up on the first 3 flips and not on the last 2 flips?
Choices:
1/2
1/5
1/8
1/32
Answer: D
Question: A man saves 20% of his monthly salary. If an account of dearness of things he is to increase his monthly expenses by 20%, he is only able to save Rs. 200 per month. What is his monthly salary?
Choices:
5000
7500
8500
9000
Answer: A
Question: A certain college's enrollment at the beginning of 1992 was 20 percent greater than it was at the beginning of 1991, and its enrollment at the beginning of 1993 was 5 percent greater than it was at the beginning of 1992. The college's enrollment at the beginning of 1993 was what percent greater than its enrollment at the beginning of 1991 ?
Choices:
26%
30%
35%
38%
Answer: A
Question: In how many different ways can the letters of the word 'MATHEMATICS' be arranged such that the vowels must always come together?
Choices:
100020
120960
140020
150000
Answer: B
Question: The sum of ages of 5 girls born at the intervals of 3 years each is 60 years. What is the age of the youngest girl?
Choices:
years
years
years
years
Answer: A
Question: Laura took out a charge account at the General Store and agreed to pay 4% simple annual interest. If she charges $35 on her account in January, how much will she owe a year later, assuming she does not make any additional charges or payments?
Choices:
$36.4
$37.16
$38.10
$38.80
Answer: A
Question: In the faculty of Reverse-Engineering, 226 second year students study numeric methods, 423 second year students study automatic control of airborne vehicles and 134 second year students study them both. How many students are there in the faculty if the second year students are approximately 80% of the total?
Choices:
545
618.
644.
666
Answer: C
Question: In a caravan, in addition to 50 hens, there are 45 goats and 8 camels with some keepers. If the total number of feet be 224 more than the number of heads in the caravan, the number of keepers is
Choices:
8
10
15
20
Answer: C
Question: Three positive integers a, b, and c are such that their average is 20 and a ≤ b ≤ c. If the median is (a + 11), what is the least possible value of c?
Choices:
21
25
26
24
Answer: B
Question: Find the Missing Number 6, 24, 60,120, 210, ?
Choices:
336
333
339
332
Answer: A
Question: 39! is divided by 41. Then what is the remainder?
Choices:
1
4
5
6
Answer: A
Question: A certain amount becomes Rs. 5760 in 2 years and Rs. 6912 in 3 years. What is the principal amount and the rate of interest?
Choices:
Rs. 3150
Rs. 3450
Rs. 4000
Rs. 3500
Answer: C
Question: X and Y start a business with Rs.2000 and Rs.12000 respectively. Hoe should they share their profits at the end of one year?
Choices:
1:6
1:5
5:1
1:4
Answer: A
Question: In a office work is distribute between p persons. If 1/4 members are absent then work increased for each person is?
Choices:
33.33%
15.33%
16.33%
17.33%
Answer: A
Question: A jogger running at 9 km/hr along side a railway track is 270 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
Choices:
89 sec
39 sec
87 sec
45 sec
Answer: B
Question: People standing in a straight line are wearing alternating colored shirts. The pattern of shirts begins with red, followed by green, blue, and yellow. This pattern continues (red, green, blue, and yellow) until it ends with a red shirt. If there are more than 4 people in line, which of the following cannot be the number of people in the line?
Choices:
37
49
61
72
Answer: D
Question: At the end of the month, a certain ocean desalination plant’s reservoir contained 26 million gallons of water. This amount is eighth the normal level. If this amount represents 65% of the reservoir’s total capacity, how many million gallons short of total capacity is the normal level?
Choices:
25
35
45
55
Answer: B
Question: The ratio of sodium chloride to ammonium in 100 kg of mixed ammonium normally used by three chemists is 3: 13. The amount of sodium chloride to be added to 100 kg of mixed ammonium to make the ratio 9 :25 is
Choices:
10.5 kg
6.25 kg
6.35 kg
6.55 kg
Answer: A
Question: If taxi fares were $2.00 for the first 1/5 mile and $0.40 for each 1/5 mile there after, then the taxi fare for a 4-mile ride was
Choices:
$9.80
$19.60
$9.60
$29.60
Answer: C
Question: If a = 1, what is the value of –(a^2 + a^3 + a^4 + a^5)?
Choices:
-4
0
4
14
Answer: A
Question: The greatest number which can divide 1356,1868 and 2764 leaving the same remainder 12 in each case, is :
Choices:
64
156
260
None of these
Answer: A
Question: If X+Y = 2X-2Z, X+2Y = 4Z and X+Y+Z = 21, what is the value of Y/Z?
Choices:
0.667.
1.7.
3.
2.5.
Answer: A
Question: Two children want to walk together to visit their aunt, who lives exactly 6 blocks north and 5 blocks east of their current location. If they travel only along streets and do not travel diagonally, the shortest possible route connecting the two points is exactly 11 blocks. How many different 11-block routes may they take to travel the shortest possible distance to their aunt’s house?
Choices:
11!/(6!*5!)
11!*6!*5!
6!*5!
11*6*5
Answer: A
Question: 65% of x = 20% of 487.50. Find the value of x?
Choices:
150
160
180
199
Answer: A
Question: On seven consecutive flips of a coin, what is the probability that all seven produce the same result?
Choices:
1/64
1/4
3/8
1/2
Answer: A
Question: find The last digit in the product 287 x 287 + 269 x 269 - 2 x 287 x 269?
Choices:
6
8
9
4
Answer: D
Question: A marching band of 240 musicians are to march in a rectangular formation with s rows of exactly t musicians each. There can be no less than 8 musicians per row and no more than 30 musicians per row. How many different rectangular formations G are possible?
Choices:
4
5
6
G=8
Answer: D
Question: An arithemetic sequence of numbers begins p, 2p + 3, 4p + 4... What is the 13th member of this sequence?
Choices:
B)40
+ 13
D)62
+ 13
Answer: C
Question: Given that a is the average (arithmetic mean) of the first nine positive multiples of six and b is the median of the first seven positive multiples of six, what is the ratio of a to b?
Choices:
5:4
5:6
13:10
4:3
Answer: A
Question: In how many W ways can 5 people from a group of 6 people be seated around a circular table
Choices:
80
100
120
144
Answer: D
Question: In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 5 boys when a boy gets any no. of prizes?
Choices:
125
130
167
190
Answer: A
Question: A family consists of grandparents, parents and three grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of the family ?
Choices:
31( 5/7
31( 5/6
31( 5/3
31( 5/1
Answer: A
Question: When the positive integer x is divided by 5 and 7, the remainder is 3 and 4, respectively. When the positive integer y is divided by 5 and 7, the remainder is 3 and 4, respectively. Which of the following is a factor of x-y?
Choices:
24
35
16
30
Answer: B
Question: The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
Choices:
140
175
214
216
Answer: A
Question: How many odd integers V between 200 and 600 are there such that their tens digit is even?
Choices:
25
100
150
200
Answer: B
Question: Machines A and B produce bottles at their respective constant rates. Machine A produces k bottles in 2 hours and machine B produces k bottles in 5 hours. How many hours does it take machines A and B, working simultaneously, to produce 14k bottles?
Choices:
16
18
20
22
Answer: C
Question: Saturn travels around the sun at a speed of approximately 6.1 miles per second. The approximate speed is how many miles per hour?
Choices:
18,560
19,720
20,840
21,960
Answer: D
Question: A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of A?
Choices:
240
209
267
262
Answer: A
Question: For any positive integer n, the sum of the first n positive integers equals n(n+1)/2. What is the sum of odd all the integers between 10 and 100?
Choices:
1576
2475
2578
1895
Answer: B
Question: Prove that there exists infinitely many positive integers n such that 4n^2 + 1 is divisible both by 5 and 13.
Choices:
6
5|4n^2+ 1 and 13|4n^2+ 1
3|4n^2+ 1 and 10|4n^2+ 1
2|4n^2+ 1 and 1|4n^2+ 1
Answer: B
Question: If |x – 9/2| = 5/2, and if y is the median of a set of u consecutive integers, where u is odd, which of the following must be true?
I. xyu is odd
II. xy(u^2 + u) is even
III. x^2y^2u^2 is even
Choices:
II only is true
I and III
II and III
I, II, and III
Answer: A
Question: If the simple interest on a certain sum of money for 7 years is one–fifth of the sum, then the rate of interest per annum is
Choices:
2.50%
6.20%
5%
2.85%
Answer: D
Question: By selling a watch for Rs.560/-, a man loses 20% what is that watch cost price
Choices:
s. 700/-
s. 880/-
s. 900/-
s. 990/-
Answer: A
Question: In a rare coin collection, all coins are either pure gold or pure silver, and there is initially one gold coin for every three silver coins. With the addition of 12 more gold coins to the collection, the ratio of gold coins to silver coins is 1 to 2. Based on this information, how many total coins are there now in this collection (after the acquisition)?
Choices:
84
96
108
120
Answer: C
Question: In how many ways can 6 boys and 3 girls be arranged at a table if 3 girls are never together?
Choices:
47520
47888
42156
43210
Answer: A
Question: A textile manufacturing firm employees 80 looms. It makes fabrics for a branded company. The aggregate sales value of the output of the 80 looms is Rs 5,00,000 and the monthly manufacturing expenses is Rs 1,50,000. Assume that each loom contributes equally to the sales and manufacturing expenses are evenly spread over the number of looms. Monthly establishment charges are Rs 75000. If one loom breaks down and remains idle for one month, the decrease in profit is:
Choices:
7000
10000
4375
None of these
Answer: C
Question: In a apartment, 30% of the people speak English, 20% speak Hindi and 10% speak both. If a people is selected at random, what is the probability that he has speak English or Hindi?
Choices:
1/3
2/5
2/7
3/8
Answer: B
Question: A 45° -45° - 90° right triangle has hypotenuse of length h. What is the area of the triangle W in terms of h?
Choices:
h/2
h/4
(h)^2
(h)^2/4
Answer: D
Question: In a stack of boards at a lumber yard, the 20th board counting from the top of the stack is immediately below the 15th board counting from the bottom of the stack. How many boards are in the stack?
Choices:
36
35
34
33
Answer: D
Question: The size of a flat-screen television is given as the length of the screen’s diagonal. How many square inches greater is the screen of a square 34-inch flat-screen television than a square 27-inch flat-screen television?
Choices:
213.5
427
729
1,156
Answer: B
Question: Equal amount of water were poured into two empty jars of different capacities, which made one jar 1/3 full and other jar 1/2 full. If the water in the jar with lesser capacity is then poured into the jar with greater capacity, what fraction of the larger jar will be filled with water?
Choices:
2/3
1/2
7/12
1/7
Answer: A
Question: A can do a job in 20 days and B can do it in 30 days. A and B working together will finish twice the amount of work in ------- days?
Choices:
16 days
24 days
11 days
19 days
Answer: B
Question: A man travels from A to B at a speed of 30 kmph and returns with a speed of 60 kmph. What is the average speed of the man?
Choices:
50
45
40
30
Answer: C
Question: Ram and Raj start a business with investments of Rs. 2500 and Rs. 2250 respectively. After 2 months, Ram takes out Rs.1250 from his capital. After 1 more month, Raj takes out Rs.750 of his capital while Rakesh joins them with a capital of Rs. 3500. At the end of 6 months, they earn a profit of Rs. 2540. Which of the following is the share of each member in the profit ?
Choices:
Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 840
Ram - Rs. 800, Raj - Rs. 200, Rakesh - Rs. 840
Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 811
Ram - Rs. 800, Raj - Rs. 100, Rakesh - Rs. 840
Answer: A
Question: In a bag there are coins of 50 paisa, 25 paisa and one rupee in the proportion 5:6:2. If there are in all Rs.42, the number of 25 paisa coins is?
Choices:
42
17
14
44
Answer: A
Question: The difference between the compound interest compounded annually and simple interest for 2 years at 20% per annum is Rs.216. Find the principal?
Choices:
2667
5400
2766
1811
Answer: B
Question: The shopkeeper increased the price of a product by 25% so that customer finds difficult to purchase the required amount. But Somehow the customer managed to purchase only 70% of the required amount. What is the net difference in the expenditure on that product ?
Choices:
10% more
12.5% less
17.5% less
None of these
Answer: B
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?
Choices:
12/455
3/91
15/91
15/111
Answer: A
Question: Audrey 4 hours to complete a certain job. Ferris can do the same job in 3hours. Audrey and Ferris decided to collaborate on the job, working at their respective rates. While Audrey worked continuously, Ferris took 6 breaks of equal length. If the two completed the job together in 2 hours, how many minutes long was each of Ferris’ breaks ?
Choices:
5
15
20
25
Answer: A
Question: There are eight leopards and one sheep.
Leopard can eat sheep but since as the land is magical, the leopards who eats the sheep , turns into sheep and then can be eaten by the remaining leopard(s).
If we leave them for some time then how many sheep and leopard will be there , when we come back ?
Choices:
7 leopard and 1 sheep
6 leopard and 4 sheep
5 leopard and 1 sheep
2 leopard and 5 sheep
Answer: A
Question: X starts a business with Rs.52000. Y joins in the business after 6 months with Rs.26000. What will be the ratio in which they should share the profit at the end of the year?
Choices:
2:3
1:3
4:1
None of these
Answer: C
Question: Positive integer n leaves a remainder of 2 after division by 6 and a remainder of 3 after division by 5. If n is greater than 30, what is the remainder that n leaves after division by 30?
Choices:
12
18
22
28
Answer: A
Question: Out of 40 consecutive integers, two are chosen at random. Find the probability that their sum is odd?
Choices:
19/39
21/39
20/39
23/39
Answer: C
Question: At what price must an article costing Rs.47.50 be marked in order that after deducting 9% from the list price. It may be sold at a profit of 25% on the cost price?
Choices:
65.25
62.1
62.7
62.2
Answer: A
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
6.72 m
None of these
Answer: A
Question: Two trains of equal lengths take 8 sec and 15 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
Choices:
10.4
13
14
15
Answer: A
Question: The square root of 25=5. What does the square root of a multiple of 25 has to end in for it to be a correct square root?
Choices:
5 or 3
5 or 0
4 or 0
2 or 6
Answer: B
Question: A student scored an average of 70 marks in 3 subjects: Physics, Chemistry and Mathematics. If the average marks in Physics and Mathematics is 90 and that in Physics and Chemistry is 70, what are the marks in Physics?
Choices:
120
110
180
150
Answer: B
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 100, the runs scored by B are?
Choices:
24
13
17
12
Answer: A
Question: Jennifer had $90 to spend on herself. She spent 1/5 of the money on a sandwich, 1/6 for a ticket to a museum, and 1/2 of it on a book. How much money does Jennifer have left over?
Choices:
$12
$5
$15
$0
Answer: A
Question: What will be the vulgar fraction of 0.75
Choices:
3/4
3/2
3/7
3/8
Answer: A
Question: If five men together completes a job in 5 days then for the same job how many mens are required to complete it in a day.
Choices:
10
25
15
24
Answer: B
Question: A and B enter into partnership. A supplies whole of the capital amounting to Rs. 45000 with the condition that the profits to be equally divided and that B pays A interest on half of the capital at 10% per annum, but receives Rs. 120 per month for carrying on the concern.Find their total yearly profit when B's income is one half of A's income.
Choices:
9180
2889
2780
1911
Answer: A
Question: A 220 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train?
Choices:
280
260
250
240
Answer: A
Question: If a person walks at 16 km/hr instead of 12 km/hr, he would have walked 20 km more. The actual distance traveled by him is?
Choices:
65
70
61
60
Answer: D
Question: If Jack walked 8 miles in 1 hour and 15 minutes, what was his rate of walking in miles per hour?
Choices:
4.5
6
6.4
15
Answer: C
Question: The average of first ten prime numbers which are odd is?
Choices:
15.0
15.9
15.8
15.1
Answer: C
Question: There are some pigeons and hares in a zoo. If heads are counted, there are 140. If legs are counted, there are 580. The number of hares in the zoo is?
Choices:
182
190
150
137
Answer: C
Question: If a population of women in a town is 40% of men . What is the population of men as a % of population of women ?
Choices:
A)200%
C)50%
D)65%
E)110%
Answer: A
Question: How can you get 81 using the digits 2, 3, 25, 50, 75, 100 only once using any of the arithmetic operators?
Choices:
81
87
98
57
Answer: A
Question: A teacher grades students’ tests by subtracting twice the number of incorrect responses from the number of correct responses. If Student A answers each of the 100 questions on her test and receives a score of 61, how many questions did Student A answer correctly?
Choices:
60
73
81
87
Answer: D
Question: John walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 8 minutes earlier. How far is the office from his house?
Choices:
3 1/5 Km
4 1/5 Km
5 1/5 Km
None
Answer: A
Question: A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Choices:
240 m
187 m
176 m
186 m
Answer: A
Question: There is a 50% chance Jen will visit Chile this year, while there is a 25% chance that she will visit Madagascar this year. What is the probability that Jen will visit either Chile or Madagascar this year, but NOT both?[/b]
Choices:
50%
62.5%
63.5%
75%
Answer: A
Question: Simple interest on a certain sum of money for 2 years at 12% per annum is half the compound interest on Rs. 6000 for 2 years at 15% per annum. The sum placed on simple interest is
Choices:
Rs.7935
Rs.8265.63
Rs.3967.5
None
Answer: B
Question: What is the smallest integer that is the sum of 2 distinct prime integers, each greater than 60 ?
Choices:
128
173
129
136
Answer: A
Question: Find compound interest on Rs. 8000 at 15% per annum for 2 years 4 months, compounded annually
Choices:
3109
2788
2776
1991
Answer: A
Question: The average consumption of petrol for a car for seven months is 110 litres and for next five months it is 86 litres. The average monthly consumption is ?
Choices:
98 litres
100 litres
102 litres
None
Answer: B
Question: A train which has 430 m long, is running 45 kmph. In what time will it cross a person moving at 9 kmph in same direction ?
Choices:
43 sec
36 sec
29 sec.
19 sec.
Answer: A
Question: In three years, Janice will be three times as old as her daughter. Six years ago, her age was her daughter’s age squared. what is the age of Janice after 3 years ?
Choices:
36
40
42
45
Answer: D
Question: Tough and Tricky questions: Arithmetic.
(18^2 + 18^2)/6^2 =
Choices:
8
27
58
116
Answer: B
Question: Proportion of Yuvaraj’s age to Ganguly’s age is 4:3. Yuvaraj willl be 26 years old after 6 years. What is the age of Ganguly now ?
Choices:
15 years
19 years
12 years
24 years
Answer: A
Question: In a class of 78 students 41 are taking French, 22 are taking German. Of the students taking French or German, 9 are taking both courses. How many students are not enrolled in either course?
Choices:
27
24
18
11
Answer: B
Question: The first five numbers in a regular sequence are 4, 9, 19, 37, and 75 What is the next number in the sequence?
Choices:
154
176
182
151
Answer: D
Question: The area of a square is equal to five times the area of a rectangle of dimensions 50 cm * 10 cm. What is the perimeter of the square?
Choices:
200 cm
829 cm
288 cm
289 cm
Answer: A
Question: A can give B 50 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
Choices:
157.89
157.22
111.0
111.12
Answer: A
Question: The ratio of petrol and kerosene in the container is 3:2 when 10 liters of the mixture is taken out and is replaced by the kerosene, the ratio become 2:3. Then total quantity of the mixture in the container is:
Choices:
30
38
37
27
Answer: A
Question: The original price of a certain TV set is discounted by q percent, and the reduced price is then discounted by 2q percent. If P is the original price of the TV Set, which of the following represents the price of the television set after the two successive discounts?
Choices:
P(1 - 0.03w + 0.0002w^2)
P(1 - 0.03x + 0.002x^2)
P(1 - 2x^2)
P(1 - 3x + 2x^2)
Answer: A
Question: Jar X is 1/2 full of water. Jar Y, which has half the capacity of Jar X, is 1/2 full of water. If the water in Jar Y is poured into Jar X, then Jar X will be filled to what fraction of its capacity?
Choices:
3/4
7/8
5/8
7/12
Answer: A
Question: In a simultaneous throw of pair of dice .find the probability of getting the total more than 7
Choices:
5/12
7/9
12/7
4/3
Answer: A
Question: 5% people of a village in Sri Lanka died by bombardment, 15% of the remainder left the village on account of fear. If now the population is reduced to 3553, how much was it in the beginning?
Choices:
4200
4400
4500
4600
Answer: B
Question: On his drive to work, Leo listens to one of three radio stations A, B or C. He first turns to A. If A is playing a song he likes, he listens to it; if not, he turns it to B. If B is playing a song he likes, he listens to it; if not, he turns it to C. If C is playing a song he likes, he listens to it; if not, he turns off the radio. For each station, the probability is 0.10 that at any given moment the station is playing a song Leo likes. On his drive to work, what is the probability that Leo will hear a song he likes?
Choices:
0.271
0.417
0.657
0.9
Answer: A
Question: If x is an even integer and x/18 is an odd integer, which of the following is NOT an even integer?
Choices:
(x^2)/24
(x^2)/9
(x^2)/6
(x^2)/2
Answer: A
Question: Convert the following unit:
3 hectares in m²
Choices:
18000 m²
20000 m²
28000 m²
30000 m²
Answer: D
Question: A began business with 6000 and is joined afterwards by B with 24000. When did B join, if the profits at the end of the year are divided equally?
Choices:
9 months
10 months
7 months
None of these
Answer: A
Question: On the shelf, there are four books of poetry, four novels, and six reference works. Suppose we picked two books at random. What is the probability that we pick one novel and one reference work?
Choices:
20/87
22/89
24/91
26/93
Answer: C
Question: A woodworker normally makes a certain number of parts in 24 days. But he was able to increase his productivity by 5 parts per day, and so he not only finished the job in only 22 days but also he made 80 extra parts. How many parts does the woodworker normally makes per day and how many pieces does he make in 24 days?
Choices:
367
360
265
171
Answer: B
Question: At what rate percent on simple interest will Rs.1750 amount to Rs.2000 in 3 years?
Choices:
3 6/7 %
4.76 %
5 %
6 %
Answer: B
Question: A small water pump would take 2 hours to fill an empty tank. A larger pump would take 1/3 hour to fill the same tank. How many hours would it take both pumps, working at their respective constant rates, to fill the empty tank if they began pumping at the same time?
Choices:
2/7
1/4
2/3
5/7
Answer: A
Question: There are 70 people and 3 clubs M, S, and Z in a company. 18 people joined M, 20 people joined S and 13 people joined Z. If the members of M did not join any other club, at most, how many people of the company did not
join any club?
Choices:
26
28
30
32
Answer: D
Question: Average of five numbers is -10, and the sum of three of the numbers is 16, wat is the average of the other 2 numbers?
Choices:
-33
35
47
49
Answer: A
Question: The perimeter of a triangle is 36 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
Choices:
85 cm2
65 cm2
45 cm2
35 cm2
Answer: C
Question: Mike works at a science lab that conducts experiments on bacteria. The population of the bacteria multiplies at a constant rate, and his job is to notate the population of a certain group of bacteria each hour. At 1 p.m. on a certain day, he noted that the population was 500 and then he left the lab. He returned in time to take a reading at 4 p.m., by which point the population had grown to 62,500. Now he has to fill in the missing data for 2 p.m. and 3 p.m. What was the population at 3 p.m.?
Choices:
12500
13500
14000
15000
Answer: A
Question: 1397 x 1397 = ?
Choices:
1951609
18362619
2031719
None of these
Answer: A
Question: If the speed of a man is 45 km per hour, then what is the distance traveled by him in 30 seconds ?
Choices:
360m
375 m
420 m
480 m
Answer: B
Question: A man walks from B to C, a distance of x miles, at 8 miles per hour and returns at 10 miles per hour. What is his average speed?
Choices:
9.6 mph
8.8 mph
8.4 mph
4 mph
Answer: B
Question: Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?
Choices:
5/1
5/2
5/6
5/9
Answer: C
Question: suppose that jody drove 80 miles in 2 hours. dividing 80 by 2 tells us how many mile jody drove in each hour. the unit for this rate are miles per hour(miles/hr). if we divide 2 by 80 what information would this give us? give an interpretation of the rate. what unit would be used for this rate?
Choices:
hours/mile
minutes/mile
km/hours
none
Answer: A
Question: A train 110 m long running at 52 kmph crosses a platform in 30 sec. What is the length of the platform?
Choices:
398
323
245
267
Answer: B
Question: |x+3| – |4-x| = |8+x| How many K solutions will this equation have?
Choices:
0
2
3
4
Answer: A
Question: Among 400 students, 51% study sociology, 46% study mathematics and 40% study biology. If 34% of students study both mathematics and sociology, what is the largest possible number of students who study biology but do not study either mathematics or sociology?
Choices:
90
148
172
188
Answer: B
Question: If xy+2z = x(y+z), which of the following must be true?
Choices:
1. x=2 and z=0
3. y=1 and z=0
4. x=1 or y=0
5. x=1 or z=0
Answer: A
Question: In a certain accounting class of 90 students, 70% of the students took the final exam on the assigned day while the rest of the students took the exam on a make-up date. If the students on the assigned day had an average score of 65%, and the students on the make-up date had an average score of 85%, what was the average score for the entire class?
Choices:
71%
73%
75%
79%
Answer: A
Question: A man has Rs. in the denominations of 100-rupee notes, 500-rupee notes and 1000-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Choices:
80
60
40
20
Answer: B
Question: If the President and Vice President must sit next to each other in a row with 7 other members of the Board, how many different seating arrangements are possible?
Choices:
240
300
360
80640
Answer: D
Question: A train moves with a speed of 108 kmph. Its speed in metres per second is :
Choices:
18
30
38.8
None of these
Answer: B
Question: The annual interest rate earned by an investment increased by 11 percent from last year to this year. If the annual interest rate earned by the investment this year was 22 percent, what was the annual interest rate last year?
Choices:
19%
18%
20%
22%
Answer: C
Question: If the average (arithmetic mean) of x + 2, x + 3, and x + 4 is 0, then x =
Choices:
–3
–2
–1
0
Answer: A
Question: The marks obtained by Vijay and Amith are in the ratio 6:5 and those obtained by Amith and Abhishek in the ratio of 3:2. The marks obtained by Vijay and Abhishek are in the ratio of?
Choices:
4:5
9:5
9:8
9:7
Answer: B
Question: Lagaan is levied on the 60 percent of the cultivated land. The revenue department collected total Rs. 3,84,000 through the lagaan from the village of Mutter. Mutter, a very rich farmer , paid only Rs.480 as lagaan. The percentage of total land of Mutter over the total taxable land of the village is:
Choices:
0.20833
0.25632
0.35466
0.63435
Answer: A
Question: Prizes totaling $30,000 were awarded unequally between 3 contestants. Which of the following choices could be the highest prize?
Choices:
(b) $12,000
(c) $35,000
(d) $25,000
(e) $65,000
Answer: A
Question: On a map, 1.5 inches represent 24 miles. How many miles approximately is the distance if you measured 48 centimeters assuming that 1-inch is 2.54 centimeters?
Choices:
212
288.1
296
302
Answer: D
Question: John want to buy a $100 Trouser at the store, but he think it’s too expensive. Finally, it goes on sale for $60. What is the percent decrease?
Choices:
30%
40%
70%
80%
Answer: B
Question: In how many E ways can 4 white and 3 black chess pieces be arranged in a row such that they occupy alternate places? Assume that the pieces are distinct.
Choices:
E=144
12
48
96
Answer: A
Question: A train 120 m in length crosses a telegraph post in 12 seconds. The speed of the train is?
Choices:
88 kmph
36 kmph
18 kmph
19 kmph
Answer: B
Question: How many ways could four cars can be parked at a parking lot with seven parking empty parking spots in which three of the seven spots will remain empty?
Choices:
840
7
920
838
Answer: A
Question: which number replaces the question mark and completes the puzzle ?
2 + 2 = 4,
3 + 3 = 18,
4 + 4 = 48,
6 + 6= ?
Choices:
180
180
170
160
Answer: A
Question: A mixture of 40 liters of milk and water contains 10% water. how much water should be added to this so that water may be 20% in the new mixture?
Choices:
4
5
6
7
Answer: B
Question: what is the sum of the first 20 odd natural numbers
Choices:
400
500
600
700
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:
63.5
60.5
61.5
62.5
Answer: D
Question: Two 6 faced dice are thrown together. The probability that both show the same number on them is ?
Choices:
1/6
1/18
1/2
1/4
Answer: A
Question: If 4a = 16b and 9b = 14c, Find a:b:c?
Choices:
13:7:52
7:13:52
64:14:9
None of these
Answer: C
Question: If Y > X and XM < YM, what must be true?
Choices:
M >0.
X < 0.
M < 0.
Y < 0.
Answer: A
Question: A number when divided by a divisor leaves a remainder of 24.
When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor?
Choices:
30
37
43
45
Answer: B
Question: It is being given that (232 + 1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number?
Choices:
(216 - 1)
(7 x 223)
(296 + 1)
(296 + 3)
Answer: C
Question: A military camp has a food reserve for 250 personnel for 40 days. If after 15 days 50 more personnel are added to the camp, find the number of days the reserve will last for?
Choices:
25
26
29
18
Answer: A
Question: The sum of all two digit numbers divisible by 4 is
Choices:
1242
1742
1610
1842
Answer: A
Question: Of the 90 electronics components that a factory must manufacture, 50 percent would be most e¢ ciently manufactured by Machine A and the remaining 50 percent would be most efficiently manufactured by Machine B, though either machine could manufacture any of the 90 components. If 50 percent of the components were manufactured by Machine A and the remainder were manufactured by Machine B, what is thehighest possible number of components that were manufactured by the machine that would manufacture them the most efficiently?
Choices:
32
90
33
36
Answer: B
Question: The largest natural number which exactly divides the product of any four consecutive natural numbers is
Choices:
12
24
120
none
Answer: B
Question: An accurate clock shows 8 o'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 10 o'clock in the morning?
Choices:
60°
30°
10°
120°
Answer: A
Question: Susan can type 10 pages in 5 minutes. Mary can type 5 pages in 10 minutes. Working together, how many pages can
they type in 30 minutes?
Choices:
20
25
65
75
Answer: D
Question: Mary works in a restaurant a maximum of 50 hours. For the first 20 hours, she is paid $8 per hour. For each overtime hour, she is paid at a rate which is 25% higher than her regular rate. How much Mary can earn in a week?
Choices:
420
460
320
400
Answer: B
Question: A certain sum of money at simple interest amounted Rs.698 in 7 years at 5% per annum, find the sum?
Choices:
277
517
678
261
Answer: B
Question: The area of a triangle is with base 3m and height 10m?
Choices:
10 m2
66 m2
15 m2
31 m2
Answer: B
Question: Angelo and Isabella are both salespersons. In any given week, Angelo makes $550 in base salary plus 8 percent of the portion of his sales above $5,000 for that week. Isabella makes 10 percent of her total sales for any given week. For what amount of weekly sales would Angelo and Isabella earn the same amount of money?
Choices:
7,500
25,500
26,500
27,500
Answer: A
Question: 101 Ã— 101 + 99 Ã— 99 = ?
Choices:
20004
20002
20102
20202
Answer: B
Question: The lunch menu at a certain restaurant contains 4 different entrees and 5 different side dishes. If a meal consists of 1 entree and 2 different side dishes, how many different meal combinations T could be chosen from this menu?
Choices:
20
40
80
100
Answer: B
Question: The two lines y = x and x = -6 intersect on the coordinate plane. If z represents the area of the figure formed by the intersecting lines and the x-axis, what is the side length of a cube whose surface area is equal to 6z?
Choices:
3√2
8
2√2
(√2)/3
Answer: A
Question: I remember during the school days , the teacher asked the class "can you tell me the sum of the first 50 odd numbers ?".
I ran quickly to the teacher and told her "the answer is 2500". The teacher replied "lucky guess".
She then asked me "can you tell me the sum of first 73 odd numbers ?".
I wait for approx 10 seconds and replied with the correct answer.
How can i answer so quickly and whats the correct answer ?
Choices:
0152
3581
5329
9126
Answer: C
Question: An article is bought for Rs.1300 and sold for Rs.1250, find the loss percent?
Choices:
3 11/13%
3 5/3%
3 2/3%
3 7/3%
Answer: A
Question: Solve : 0.6*0.6+0.6*0.6
Choices:
0.46
0.64
0.65
None of them
Answer: A
Question: During a trip on an expressway, Lon drove a total of x miles. His average speed on a certain 5-mile section of the expressway was 30 miles per hour, and his average speed for the remainder of the trip was 60 miles per hour. His travel time for the x-mile trip was what percent greater than it would have been if he had traveled at a constant rate of 60 miles per hour for the entire trip?
Choices:
50%
x/12%
60/x%
500/x%
Answer: D
Question: If T persons take y days to complete z similar jobs, how long does it take y persons to complete 1 such job?
Choices:
x
x/y
z/x
y/z
Answer: D
Question: A day-trader plans to invest a total of $23,300 into 15 separate investments. If each investment requires a minimum deposit of $1,400, then which of the following is the maximum amount that she could put into any one investment?
Choices:
$3,000
$3,700
$3,800
$3,900
Answer: B
Question: The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%?
Choices:
50/6% profit
16 2/3% loss
100/3% loss
None of these
Answer: B
Question: In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
Choices:
735 ways
767 ways
723 ways
720 ways
Answer: D
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 Q that the next couple the maitre 'd seats will not order dessert?
Choices:
25%
40%
60%
75%
Answer: A
Question: The profit earned after selling a T-shirt for Rs.575/- is the same as loss incurred after selling the same T-shirt for Rs.295/-. What is the cost price of the T-shirt?
Choices:
Rs.435/-
Rs.415/-
Rs.245/-
None of these
Answer: A
Question: Excluding stoppages, the speed of a bus is 50 km/hr and including stoppages, it is 36 km/hr. For how many minutes does the bus stop per hour?
Choices:
10 min
18 min
16 min
15 min
Answer: C
Question: Ajay bought a motor cycle for Rs. 50,000. 2 years later he sold it to Vijay at 10% less of the cost price. Vijay spend 5% of the purchasing price on its maintenance. Later Vijay displayed the sale price of his motorcycle Rs. 50,000. Chetan wanted to purchase it at 15% discount but Vijay gave him two successive discounts of 10% and 5% instead of 15% in one time. What is the actual discount availed by Chetan?
Choices:
15.5%
14.5	%
16.5%
Cannot determined
Answer: B
Question: A certain electric-company plan offers customers reduced rates for electricity used between 8 p.m. and 8 a.m. weekdays and 24 hours a day Saturdays and Sundays. Under this plan, the reduced rates Q apply to what fraction of a week?
Choices:
5/8
9/14
16/21
9/10
Answer: B
Question: If x and y are integers such that x^2= y and xy = 27, then x – y = ?
Choices:
-20
-6
5
20
Answer: B
Question: The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?
Choices:
68 Kmph
103 Kmph
60 Kmph
90 Kmph
Answer: A
Question: A 300m race is held between two players running 3m/s and 5m/s in swimming pool of 50m long. how many times the two player meet in opposite direction till the faster one completes the race.
Choices:
4
5
6
7
Answer: A
Question: 3*16 + 3*17 + 3*20 + 11 = ?
Choices:
129
138
152
170
Answer: D
Question: If a and b are positive integers and x = 7^a and y = 3^b, which of the following is a possible units digit of xy?
Choices:
5
6
8
9
Answer: D
Question: A toy store sells small, medium, large, and super-large toy trucks in each of the colors red, blue, black, green, and yellow. The store has an equal number of trucks of each possible color-size combination. If Paul wants a medium, red truck and his mother will randomly select one the trucks in the store, what is the probability that the truck she selects will have at least one of the two features Paul wants?
Choices:
2/5
13/25
17/25
19/30
Answer: A
Question: Sue's trail mix is 30% nuts and 70% dried fruit. Jane's trail mix is 60% nuts and 40% chocolate chips. If the combined mixture of Sue and Jane's trails mix contains 55% nuts, what percent of the combined mixture is dried fruit?
Choices:
11.7%
14.2%
17.6%
20.5%
Answer: A
Question: A person is traveling at 100 km/hr and reached his destiny in 5 then find the distance?
Choices:
300km
500km
450km
350km
Answer: B