antoine-444/aqua_rat_dataset huggingface dataset:
Question: x is a positive integer of S less than 500. When x is divided by 7, the remainder is 1; when x is divided by 3, the remainder is 2. How many x are there?
Choices:
22
23
24
25
Answer: C
Question: Rs.200 contained in a box consists of one rupee, 50 paisa and 25 paisa coins in the ratio 4:5:6. What is the number of 25 paisa coins?
Choices:
266
120
150
267
Answer: C
Question: If m > 0, y > 0, and x is m percent of 2y, then, in terms of y, m is what percent of x?
Choices:
y/200
50y
50/y
5000/y
Answer: A
Question: A boat running downstream cover a distance of 16km in 2 hr while covering the same distance upstream it takes 4 hr then the speed of the boat still in the water
Choices:
78km/hr
9km/hr
7km/hr
3km/hr
Answer: B
Question: If the two-digit integers G and N are positive and have the same digits, but in reverse order, which of the following CANNOT be the sum of G and N?
Choices:
181
121
99
44
Answer: A
Question: The ratio of daily wages of two workers is 4 : 3 and one gets daily Rs 9 more than the other, what are their daily wages?
Choices:
Rs 60 and Rs 45
Rs 80 and Rs 60
Rs 36 and Rs 27
Rs 36 and Rs 24
Answer: C
Question: In an election between two candidates, one got 60% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 2000, the number of valid votes that the other candidate got, was:
Choices:
750
800
600
900
Answer: B
Question: If x = y^2, and x and y are positive integers, which of the following numbers could be the value of x?
Choices:
10,816
11,433
12,908
13,482
Answer: A
Question: If the selling price of 7 Candle is same as the cost price of 14 candle. Find the gain or loss percentage?
Choices:
65%
75%
35%
100%
Answer: D
Question: In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
Choices:
209
300
305
307
Answer: A
Question: By selling 99 pens, a trader gains the cost of 11 pens. Find his gain percentage?
Choices:
11 7/3%
11 1/8%
11 1/3%
11 1/9%
Answer: D
Question: How many kilogram of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per kg so that there may be a gain of 10% by selling the mixture at Rs. 9.24 per kg?
Choices:
42 kg
54 kg
63 kg
60 kg
Answer: C
Question: Find the principle on a certain sum of money at 5% per annum for 2 years if the amount being Rs.1120?
Choices:
1018
1977
1056
1097
Answer: A
Question: Two trains one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 64 hours and 121 hours respectively. The ratio of their speeds is
Choices:
11 : 8
6 : 7
9 : 16
None
Answer: A
Question: The average age of a family of 5 was 32 . It fell to 18 when the grandmother died.How old was she ?
Choices:
87
88
89
90
Answer: B
Question: How many times the keys of a writer have to be pressed in order to write first 250 counting no's?
Choices:
642
652
662
672
Answer: A
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is?
Choices:
3/2
3/5
3/6
3/7
Answer: A
Question: Raju age after 45 years will be 5 times his age 5 years back, What is the present age of Raju
Choices:
17.2
10.2
17.5
66.2
Answer: C
Question: The output of a factory is increased by 10% to keep up with rising demand. To handle the holiday rush, this new output is increased by 60%. By approximately what percent would the output of the factory now have to be decreased in order to restore the original output?
Choices:
24%
30%
43%
79%
Answer: C
Question: The value of 4.5*1.8+4.5*8.2/1.5*4.5+1.5*5.5
Choices:
8
5
3
2
Answer: C
Question: When positive integer x is divided by 12, the quotient is y and the remainder is 3. When 2x is divided by 11, the quotient is 3y and the remainder is 6. What is the value of 21y – x?
Choices:
2
-1
-2
-3
Answer: D
Question: What is the remainder when 5632 is divided by 6?
Choices:
2
0
4
3
Answer: A
Question: The cost to park a car in a certain parking garage is $20.00 for up to 2 hours of parking and $1.75 for each hour in excess of 2 hours. What is the average (arithmetic mean) cost per hour to park a car in the parking garage for 9 hours?
Choices:
$3.58
$2.25
$2.37
$2.50
Answer: A
Question: For dinner at a restaurant, there are x choices of appetizers, y + 1 main courses, and z+1 choices of dessert. How many total possible choices are there if you choose 1 appetizer, 1 main course, and 1 dessert for your meal?
Choices:
xyz + xz
xy + z + 1
xz+x+xyz+xy
xyz + 1/2
Answer: C
Question: A company has two types of machines, type R and type S. Operating at a constant rate a machine of R does a certain job in 36 hours and a machine of type S does the job in 36 hours. If the company used the same number of each type of machine to do job in 12 hours,how many machine R were used?
Choices:
4
6
9
12
Answer: C
Question: At a certain college 25% of the students join a band, 25% play a sport and 20% both join the band and play a sport. if a randomly selected student is a member of the band, what is the probablility that the student also plays a sport?
Choices:
2)1/5
3)2/5
4)1/2
5)4/5
Answer: D
Question: A trumpet section includes five musicians. If they hold an audition to determine chair order within the section, and there are to be no ties, how many distinct chair orders can result?
Choices:
125
120
100
25
Answer: B
Question: There are four temples, one plant of flower and a pond.
A boy goes there and before entering the first temple he plucks the flower and has to take a bath in the pond before entering into every temple.
The specialty of the pond is that if a person is carrying flowers with him and he takes a dip in the pond the number of the flowers gets doubled.
He takes a dip and offers some flowers in the first temple, then he again takes a dip and offers flowers in second temple , again the same in the third temple, and again the same in the fourth temple
The boy offers EQUAL number of flowers in all the four temples and goes back with EMPTY hand after offering flower in the fourth temple..How many flowers could he have offered in each temples?
Choices:
24
30
48
60
Answer: C
Question: How many times are the hands of a clock at right angle in 5 days?
Choices:
220
210
212
222
Answer: A
Question: 10 men and 15 women together can complete a work in 4 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?
Choices:
100 days
177 days
187 days
225 days
Answer: A
Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good?
Choices:
20/63
20/87
20/98
20/12
Answer: A
Question: Two cars are traveling towards each other. If car A is traveling at a speed of 50 mph and car B is traveling 12% slower, how much time will it take the cars to meet if the initial distance between the two is 705 miles?
Choices:
Seven hours and 30 minutes.
Eight hours and 20 minutes.
Nine hours and 15 minutes.
Ten hours and 20 minutes.
Answer: A
Question: A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?
Choices:
700 m
800 m
100 metre
1600 m
Answer: C
Question: Of 70 players on a football team, 34 are throwers. The rest of the team is divided so one third are left- handed and the rest are right handed. Assuming that all throwers are right handed, how many right- handed players are there total?
Choices:
58
63
71
92
Answer: A
Question: If
1 = 6
2 = 12
3 = 18
4 = 24
5 = 30
6 = 36
Then 12 = ?
Hint: Its a logic Riddle not a mathematical riddle
Choices:
2
3
4
5
Answer: A
Question: The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.3 years, The ratio of the number of boys to the number of girls in the class is
Choices:
2 : 3
9 : 3
6 : 3
5 : 6
Answer: D
Question: What will come in place of the x in the following Number series? 18, 22, 30, x ,78, 142
Choices:
32
46
49
43
Answer: B
Question: The sum of Two Numbers is 15 and the product is 56. Find the sum of the squares of the Numbers.
Choices:
125
89
65
113
Answer: D
Question: The area of a rectangle is 360 Sq.m. If its length is increased by 10m and its width is decreased by 6m, then its area does not change. Find the perimeter of the original rectangle.
Choices:
75m
76m
77m
78m
Answer: B
Question: A shopkeeper sells 400 metres of cloth for Rs. 18000 at a loss of Rs.5 per metre. Find his cost price for one metre of cloth?
Choices:
67
26
50
12
Answer: C
Question: If 100!/x is not an integer,which of the following could be the value of x?
Choices:
7^16
11^9
13^6
17^6
Answer: D
Question: If x-1 – 1 is divided by x - 1 the quotient is:
Choices:
– 1/z
– 1/9
– 1/k
– 1/x
Answer: D
Question: Rs.8000 become Rs.9261 in a certain interval of time at the rate of 5% per annum of C.I. Find the time?
Choices:
8 years
9 years
3 years
2 years
Answer: C
Question: In how many ways can three boys and three girls sit in a row such that all girls sit together?
Choices:
B)144
C)96
D)120
E)154
Answer: A
Question: A shopkeeper sells 20% of his stock at 10% loss ans sells the remaining at a profit of 10%. He incurred an overall profit of Rs. 1500. Find the total worth of the stock?
Choices:
26000
24000
25000
23500
Answer: C
Question: Peter’s salary is reduced by 30% and then reduced salary is increased by 30%. Find ,how many percentage his present salary is less as compared to his previous salary?
Choices:
7%
8%
9%
10%
Answer: C
Question: Thomas went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choices:
19.7
20.1
21.3
23
Answer: A
Question: How many odd three-digit integers greater than 500 are there such that all their digits are different?
Choices:
56
72
81
160
Answer: D
Question: In a certain game, a large container is filled with red, yellow, green, and blue beads worth, respectively, 7, 5, 3, and 2 points each. A number of beads are then removed from the container. If the product of the point values of the removed beads is 1,029,000, how many red beads were removed?
Choices:
4
3
2
1
Answer: B
Question: Two numbers are in the ratio 3:5. If 9 be subtracted from each, they are in the ratio of 5:2. The first number is:
Choices:
A)3
C)34
D)35
E)62
Answer: A
Question: A father purchased dress for his 3 daughters. The dresses are of same color but diff size and they are kept in dark room. what is probability that all the 3 will not choose there own dress?
Choices:
1/3
1/2
3/4
3/7
Answer: A
Question: What percent is 5 gm of 1 kg?
Choices:
0.5 %
2.5 %
3.5 %
4 %
Answer: A
Question: What is the sum of the odd integers from 55 to 75, inclusive?
Choices:
550
555
600
715
Answer: D
Question: A boat can travel with a speed of 22 km/hr in still water. If the speed of the stream is 5 km/hr, find the time taken by the boat to go 81 km downstream
Choices:
4 hours
3 hours
2 hours
None of these
Answer: B
Question: The average number of shirts with Salman, Ambani and Dalmiya is 72, if all of them reached a shopping mall in Delhi and purchased 12 shirts each of them then average number of shirt each of them now has
Choices:
84
86
can't be determined
None of these
Answer: A
Question: A committee is to be formed by randomly choosing 3 people from 8 candidates. If Alice and Bob are candidates, what is the probability that Alice will be selected but Bob will not?
Choices:
9/28
11/28
15/56
17/56
Answer: C
Question: If x and y are two-digit integers such that x > 30 and y<70, which of the following is closest to the minimum value of xy?
Choices:
460
4,000
310
28,000
Answer: C
Question: There is enough provisions for 600 men in an army camp for 25 days. If there were 200 men less, how long will the provision last?
Choices:
60days
70days
75days
90days
Answer: C
Question: 0.05 x 0.40=?
Choices:
0.000315
0.315
0.02
0.002
Answer: C
Question: The total marks obtained by a student in Mathematics and Physics is 30 and his score in Chemistry is 20 marks more than that in Physics. Find the average marks scored in Mathamatics and Chemistry together.
Choices:
30
25
Data inadequate
None of these.
Answer: B
Question: 42, 40, 35, 33, 28, 26, ?
Choices:
21
28
25
28
Answer: A
Question: Find the sum The difference between the compound and S.I. on a certain sum of money for 2 years at 10% per annum is Rs.15of money?
Choices:
1500
2668
2977
1291
Answer: A
Question: In a rectangular axis system, what is the area of a parallelogram with the coordinates: (5,3), (8,3), (4,5), (7,5) ?
Choices:
28.
35.
49.
6.
Answer: D
Question: Two numbers when divided by a divisor leave remainders of 198 and 322 respectively. The remainder obtained when the sum of the numbers is divided by the same divisor is 68. Find the divisor.
Choices:
398
412
435
452
Answer: D
Question: Susan weighs 12 pounds more than Anna does, and together they weigh a total of 162 pounds. Which of the following represents Anna’s weight in pounds?
Choices:
75
65
68
72
Answer: A
Question: You collect balls. Suppose you start out with 106. Your sister gives you another 17 balls. How many balls do you have at the end?
Choices:
17
321
123
132
Answer: C
Question: A bag of potatoes weighs 50 lbs divided by half of its weight. How much does the bag of potatoes weigh?
Choices:
10 lb
30 lb
40 lb
50 lb
Answer: A
Question: If a number is chosen at random from the set {1, 2, 3…, 100}, then the probability that the chosen number is a perfect cube is
Choices:
1/25
4/13
1/10
3/10
Answer: A
Question: If (-4)^(6x) = 4^(30 + x) and x is an integer, what is the value of x ?
Choices:
4
3
2
6
Answer: D
Question: The sides AB,BC and CA of a triangle ABC having 3,4 and 5 interior points receptively on them. The total number of triangles that can be constructed by using these points as vertices is
Choices:
204
205
195
190
Answer: B
Question: Average age of students of an adult school is 48 years. 120 new students whose average age is 32 years joined the school. As a result the average age is decreased by 4 years. Find the number of students of the school after joining of the new students.
Choices:
160
360
240
None of these
Answer: A
Question: There are 34 students in a certain geometry class. If two thirds of the students are boys and three fourths of the boys are under six feet tall, how many boys in the class are under six feet tall?
Choices:
12
17
24
27
Answer: B
Question: Mr. Karan borrowed a certain amount at 6% per annum simple interest for 9 years. After 9 years, he returned Rs. 8510/-. Find out the amount that he borrowed.
Choices:
s. 5269
s. 5228
s. 5218
s. 5526
Answer: D
Question: The length of each side of an equilateral triangle having an area of 4√3 cm2 is?
Choices:
3:4
3:7
3:1
3:2
Answer: A
Question: The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages.
Choices:
16, 28, 36
20, 35, 45
20, 35, 55
None of these
Answer: A
Question: 3 houses are available in a new flat. 3 persons apply for the houses. Each applies for 1 house without consulting others.The probability that all the 3apply for the same house is?
Choices:
1/9
2/7
3/7
2/9
Answer: A
Question: The angles of a triangle are in the ratio 1 : 3 : 8. Find the measurement of the 3angles of triangle.
Choices:
110°
120°
180°
190°
Answer: B
Question: Last year’s receipts from the sale of greeting cards during the week before Mother’s Day totaled $194 million, which represented 8 percent of total greeting card sales for the year. Total greeting card sales for the year totaled how many million dollars?
Choices:
2,100
2425
2564
2103
Answer: B
Question: A perfect square is defined as the square of an integer and a perfect cube is defined as the cube of an integer. How many positive integers n are there such that n is less than 100,000 and at the same time n is a perfect square and a perfect cube?
Choices:
4
5
6
7
Answer: C
Question: if x:y = 1:7, then find the value of
(7x+3y):(2x+y)
Choices:
15:5
28:9
17:5
None of these
Answer: B
Question: Pipes A and B can fill a tank in 2 and 3 hours. Pipe C can empty it in 6 hours. If all pipes are opened together, then the tank will be filled in?
Choices:
1/2hr
1hr
9/7hr
5/3hr
Answer: A
Question: The number x of cars sold each week varies with the price y in dollars according to the equation x = 800,000 – 50y. What would be the total weekly revenue Q, in dollars, from the sale of cars priced at $ 15,000?
Choices:
750,000
850,000
7,500,000
Q=750,000,000
Answer: D
Question: A box contains 4 red, 3 white and 2 blue balls. Three balls are drawn at random. Find out the number of ways of selecting the balls of different colours
Choices:
24
48
168
180
Answer: A
Question: A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 75, the runs scored by B are?
Choices:
18
20
19
21
Answer: A
Question: The speed of a boat in still water is 50kmph and the speed of the current is 20kmph. Find the speed and upstream?
Choices:
30 kmph
78 kmph
15 kmph
23 kmph
Answer: A
Question: The total of the ages of Amar, Akbar and Anthony is 36 years. What was the total of their ages five years ago ?
Choices:
21
66
16
18
Answer: A
Question: 40% of all students in a class commute by public transportation. If 25% 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.	7%
II.	20%
III.	45%
Choices:
II ONLY
III ONLY
I AND II
I AND III
Answer: B
Question: 80% of the students of a village is 1600. The total students of the school is?
Choices:
2000
3000
1800
2200
Answer: A
Question: When you draw 2 dices together, find the probability of getting numbers in pairs?
Choices:
1/6
1/7
1/11
1/12
Answer: A
Question: The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
Choices:
166
256
750
271
Answer: C
Question: In Town X, 64 percent of the population are employed, and 47 percent of the population are employed males. What percent of the employed people in Town X are females?
Choices:
46%
32%
24%
52%
Answer: C
Question: A tank can supply water to a village for 100 days. If a leak at the bottom of the tank drains out 10 liters per day, the supply lasts for 75 days only. For how many days will the supply last if the leak drains out 20 liters per day?
Choices:
60
65
70
72
Answer: A
Question: In a party every person shakes hands with every other person. If there were a total of 120 handshakes in the party then what is the number of persons present in the party ?
Choices:
16
17
18
19
Answer: A
Question: √(36)^2
Choices:
14
36
21
None of these
Answer: B
Question: A car travelling with of its actual speed covers 42 km in 1 hr 40 min 48 sec. Find the actual speed of the car.
Choices:
25 km/hr
30 km/hr
35 km/hr
40 km/hr
Answer: C
Question: Sonika bought a V.C.R. at the list price of 18,700. If the rate of sales tax was 8%, find the amount she had to pay for purchasing the V.C.R.
Choices:
20,196
19,680
19,380
None of these
Answer: A
Question: 4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 12 mat-weavers in 12 days?
Choices:
19
39
61
36
Answer: D
Question: A grocer buys apples for 63¢ per pound. If 10% of the apples goes bad and he still wants to make a 20% profit over his purchase price, what should be the sales price?
Choices:
70¢
75¢
77¢
84¢
Answer: D
Question: A grocer has a sale of Rs. 7435, Rs. 7920, Rs. 7855, Rs. 8230 and Rs. 7560 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 7500?
Choices:
2000
5000
6000
7000
Answer: C
Question: Only a single rail track exists between stations A and B on a railway line. One hour after the north bound super fast train N leaves station A for station B, a south-bound passenger train S reaches
station A from station B. The speed of the super fast train is twice that of a normal express train E, while the speed of a passenger train S is half that of E. On a particular day, N leaves for B from A, 20 min behind the normal schedule. In order to maintain the schedule, both N and S increased their speeds. If the super fast train doubles its speed, what should be the ratio (approximately) of the speeds of passenger train to that of the super fast train so that the passenger train S reaches exactly at the scheduled time at A on that day?
Choices:
1 : 4
1 : 5
1 : 6
1 : 7
Answer: C
Question: A cyclist covers a distance of 750 meter in 2 minutes 40 seconds. What is the speed in km/hr of cyclist
Choices:
16.85 km/hr
18 km/hr
19 km/hr
20 km/hr
Answer: A
Question: Two same glasses are respectively 1/4th 1/5th full of milk. They are then filled with water and the contents mixed in a tumbler. The ratio of milk and water in the tumbler is?
Choices:
9:31
9:37
9:32
9:33
Answer: A
Question: If the ratio of x to y is 2 to 6, then (y-x)/(x+y)?
Choices:
-3/7
1/2
1/4
7/3
Answer: B
Question: Find the ones digit of 73^350
Choices:
5
6
7
9
Answer: D
Question: Today is Thursday. The day after 59 days will be
Choices:
Tuesday
Saturday
Sunday
None of these
Answer: C
Question: In how many ways letters of the word PRESS be arranged?
Choices:
20
60
80
40
Answer: B
Question: The average age of 16 persons in a office is 15 years. Out of these, the average age of 5 of them is 14 years and that of the other 9 persons is 16 years. The age of the 15th person is?
Choices:
11
15
12
26
Answer: D
Question: At what time between 4 and 5 o'clock will the hands of a watch point in opposite directions?
Choices:
(54 + 6/11) past 29
(54 + 6/11) past 19
(54 + 6/11) past 4
(54 + 6/11) past 12
Answer: C
Question: Ramu bought an old car for Rs. 42000. He spent Rs. 13000 on repairs and sold it for Rs. 66900. What is his profit percent?
Choices:
77
18
21.6
88
Answer: C
Question: Determine the equation for the line parallel to r ≡ 3x + 2y − 4 = 0 that passes through the point A = (2, 3).
Choices:
2x + 3y -12= 0
3x + 2y − 12= 0
3x + 2y +12= 0
x + y − 6= 0
Answer: B
Question: Graph G has a line of symmetry of x = –3. Graph G passes through the point (3, 3). What is the x-coordinate of another point that must have a y-coordinate of 3?
Choices:
–9
–5
–4
2
Answer: A
Question: 170kg of an alloy A is mixed with 250 kg of alloy B. If alloy A has lead and tin in the ratio 1:3 and alloy B has tin and copper in the ratio 3:5, then the amount of tin in the new alloy is?
Choices:
221.3kg
229.5kg
110.8kg
114kg
Answer: A
Question: A sum of money becomes triple itself in 5 years at simple interest. How many years will it become six times at the same rate?
Choices:
12 1/2
12 1/9
12 1/5
12 1/1
Answer: A
Question: Ram sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles?
Choices:
4000
5000
4000
2000
Answer: D
Question: If 4/p=8 & 6/q=18 then p-q=?
Choices:
6/24
7/24
1/6
9/24
Answer: C
Question: Birbal is a witty trader who trade of a mystical fruit grown far in north. He travels from one place to another with three sacks which can hold 30 fruits each. None of the sack can hold more than 30 fruits. On his way, he has to pass through thirty check points and at each check point, he has to give one fruit for each sack to the authorities.
How many mystical fruits remain after he goes through all the thirty check points?
Choices:
25
48
26
54
Answer: A
Question: If x is a number such that x^2 + 5x - 6 = 0 and x^2 - 5x + 4 = 0, then x =
Choices:
1
4
-6
6
Answer: A
Question: An association of mathematics teachers has 1,500 members. Only 525 of these members cast votes in the election for president of the association. What percent of the total membership voted for the winning candidate if the winning candidate received 40 percent of the votes cast?
Choices:
58%
42%
34%
14%
Answer: D
Question: A starts business with Rs.3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B’s contribution in the capital?
Choices:
9000
9500
12000
None
Answer: A
Question: What is the sum Y of all 3 digit numbers that leave a remainder of '2' when divided by 3?
Choices:
164,850
164,749
149,700
156,720
Answer: A
Question: 210 reputed university students were asked in a survey if they preferred Windows or Mac brand computers. 60 Students claimed that they preferred Mac to Windows brand computers. One third as many of the students who preferred Mac to Windows, equally preferred both brands. 90 of the students had no preference. How many of the students in the survey preferred Windows to Mac brand computers?
Choices:
40
50
60
75
Answer: A
Question: Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. After how much time will the trains meet?
Choices:
32/3 sec
20/7 sec
32/3 sec
53/2 sec
Answer: B
Question: Two identical machines have the ability to produce both nuts and bolts. However, it takes 3 second to produce a bolt but 2 seconds to produce a nut. What is the fastest the two machines, working together, can produce 1,000 nuts and 1,000 bolts?
Choices:
1,500 seconds
1,750 seconds
2,500 seconds
3,000 seconds
Answer: C
Question: The average of four numbers is 27. If one number is excluded, the average becomes 25. The excluded number is
Choices:
27
30
33
40
Answer: C
Question: Which of the following functions f(x) satisfies the condition f(y-z) = f(y)-f(z) for all possible values of y and z?
Choices:
f(x) = x + (x−1)^2
f(x) = x-1
f(x) = 5/x
f(x) = x/5
Answer: D
Question: In how many different ways can the letters of the word 'DETAIL' be arranged such that the vowels must occupy only the even positions?
Choices:
64
120
36
360
Answer: C
Question: A boy rides his bicycle 10 km at an average sped of 12 km/hr and again travels 12 km at an average speed of 10 km/hr. His average speed for the entire trip is approximately.
Choices:
10.4 kmph
10.8 kmph
11.8 kmph
None
Answer: B
Question: If 0 < y < 1, what is the median of the values y, y^-1, y^2, y^1/2 and y^3?
Choices:
y
y^2
y^1/2
y^3
Answer: A
Question: A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream?
Choices:
30/19
30/15
30/13
30/11
Answer: C
Question: In a certain city, 60% of the registered voters are congress supporters and the rest are BJP supporters. In an assembly election, if 75% of the registered congress supporters and 20% of the registered BJP supporters are expected to vote for candidate A, what percent of the registered voters are expected to vote for candidate A?
Choices:
53
77
89
11
Answer: A
Question: In a certain match all the teams were to play with each other. If there are 8 teams, how many matches will have to be played?
Choices:
28
60
90
None of the above
Answer: A
Question: Sreenivas sells a table to Shiva at 10% profit and Shiva sells it to Mahesh at 10% loss. At what price did Sreenivas purchase the table if Mahesh paid Rs. 2772?
Choices:
2669
2200
2800
2998
Answer: C
Question: The function F(n) is defined as the product of all the consecutive positive integers between 1 and n^2, inclusive, whereas the function G(n) is defined as the product of the squares of all the consecutive positive integers between 1 and n, inclusive. The exponent on 3 in the prime factorization of F(3)/G(3) is
Choices:
1
3
4
5
Answer: A
Question: In the quiet town ofNothintodothere are 500 inhabitants, 300 are unemployed and 300 are somnambulists. If half of the somnambulists are unemployed, how many are employed and are not somnambulists?
Choices:
50.
150.
200.
300.
Answer: A
Question: At what price must an Book costing $47.50 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 25% on the cost price?
Choices:
55.5
62.5
82.5
60.5
Answer: B
Question: In how many ways can 5 boysand 2 girls be arranged at a table if 2 girls are never together?
Choices:
420
430
450
480
Answer: D
Question: The C.P of 15 books is equal to the S.P of 18 books. Find his gain% or loss%?
Choices:
16 2/3% loss
16 8/3% loss
18 2/3% loss
26 2/3% loss
Answer: A
Question: On decreasing the price of a Computer by 10%, its sale is increased by 40%. The effect on the revenue is?
Choices:
28% increase
16% decrease
26% increase
none of these
Answer: C
Question: How many keystrokes are needed to type numbers from 56 to 200?
Choices:
391
270
289
None of these
Answer: A
Question: A group of workers was put on a job. From the second day onwards, one worker was withdrawn each day. The job was finished when the last worker was withdrawn. Had no worker been withdrawn at any stage, the group would have finished the job in 55% of the time. How many workers were there in the group?
Choices:
38
23
10
27
Answer: C
Question: What approximate value should come in place of question mark (?) in the following equations ?
(0.0078 ÷ 0.00012) x 77.88 = ?
Choices:
5040
5070
5100
5400
Answer: B
Question: In how many ways can the letters of the word MANIFOLD be arranged so that the vowels are separated ?
Choices:
14400
18000
24000
22200
Answer: A
Question: There are n members in a certain department, including Michael. Two representatives are to be selected to attend a company conference. If there are 28 possible combinations in which Michael is not selected, what is the value of n?
Choices:
8
9
10
11
Answer: B
Question: A bag contains 6 white and 4 black balls .2 balls are drawn at random. find the probability that they are of same colour.
Choices:
15/7
8/9
7/15
4/3
Answer: C
Question: The batting average of a particular batsman is 60 runs in 46 innings. If the difference in his highest and lowest score is 150 runs and his average excluding these two innings is 58 runs, find his highest score.
Choices:
179
269
177
191
Answer: A
Question: In a coconut grove, (x + 1) trees yield 60 nuts per year, x trees yield 120 nuts per year and (x – 1) trees yield 180 nuts per year. If the average yield per year per tree be 100, find x.
Choices:
2
5
6
None of the above
Answer: A
Question: The total marks obtained by a student in Physics, Chemistry and Mathematics is 150 more than the marks obtained by him in Physics. What is the average mark obtained by him in Chemistry and Mathematics?
Choices:
75
55
44
12
Answer: A
Question: a box contain 4 small bos, each small box again contain 3 box,again these box contain 2 box . total how many boxes
Choices:
39
40
42
41
Answer: D
Question: Positive integer y is 50 percent of 50 percent of positive integer x, and y percent of x equals 100. What is the value of x?
Choices:
100
200
1,000
2,000
Answer: B
Question: Eighteen years ago, a father was three times as old as his son. Now the father is only twice as old his son. Then the sum of the present ages of the son and the father is:
Choices:
108
77
107
109
Answer: C
Question: An outlet pipe empties a tank which is full in 10 hours. If the inlet pipe is kept open, which lets liquid in at the rate of 8 litres/min then outlet pipe would take 6 hours longer. Find the capacity of the tank.
Choices:
12800 litres
12100 litres
11200 litres
13200 litres
Answer: A
Question: Sakshi invests a part of Rs. 12,000 in 12% stock at Rs. 120 and the remainder in 15% stock at Rs. 125. If his total dividend per annum is Rs. 1360, how much does he invest in 12% stock at Rs. 120?
Choices:
Rs. 4000
Rs. 5500
Rs. 6000
Rs. 7000
Answer: A
Question: If a, b, and c are consecutive integers such that a < b < c and a is an even prime number, which of the following is true?
I. a + b + c > a^3
II. a × b × c < a^3
III. 5b < bc
Choices:
I only
III only
II and III
I, II, and III
Answer: A
Question: If a real number x is chosen at random in the interval [0,3] and a real number y is chosen at random in the interval [0,5], what is the probability that x < y?
Choices:
7/12
11/15
7/10
3/4
Answer: C
Question: There are 3 sections with 4 questions each. If three questions are selected from each section, the chance of getting different questions is________
Choices:
78
89
64
56
Answer: C
Question: By weight, liquid X makes up 1.5 percent of solution P and 6.5 percent of solution Q. If 400 grams of solution P are mixed with 600 grams of solution Q, then liquid X accounts for what percent of the weight of the resulting solution?
Choices:
3.9%
4.2%
4.5%
4.8%
Answer: C
Question: Given distinct positive integers 1, 11,4, x, 2, and 10, which of the following could be the median?
Choices:
4
7
8
9
Answer: A
Question: What number comes next in the following series? 4, 14, 44, 134, 404, ____
Choices:
1208
1214
1216
1220
Answer: B
Question: In a end-of-season sale, the prices at a store have been cut to 80%. How many dollars would a $50 item cost?
Choices:
$10
$21
$20
None of these
Answer: A
Question: Two numbers are in the ratio of 5:7. If 33 is subtracted from each number, they are in the ratio of 1:2. What are the two numbers?
Choices:
50, 70
55, 77
60, 84
65, 91
Answer: B
Question: 7 people sit at the round table. In how many ways can we sit them so that ALI and BillI don't sit opposing each other?
Choices:
B)420
C)440
D)460
E)480
Answer: D
Question: In the first 10 overs of a cricket game, the run rate was only 6.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?
Choices:
5.5
6.75
7
8
Answer: A
Question: The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is:
Choices:
2420 m2
2480 m2
2520 m2
2645 m2
Answer: C
Question: What least number should be subtracted from 13603 such that the remainder is divisible by 87 ?
Choices:
29
28
30
31
Answer: D
Question: In Kaya's teacher's desk there are 6 pink highlighters, 2 yellow highlighters, and 4 blue highlighters. How many highlighters are there in all?
Choices:
12
77
33
88
Answer: A
Question: If C and D are positive integers, and the remainder obtained when C is divided by D is the same as the remainder obtained when D is divided by C, which of the following is a possible value of CD?
Choices:
55
48
31
25
Answer: D
Question: Vijay sells a cupboard at 14% below cost price. Had he got Rs.2086 more, he would have made a profit of 14%. What is the cost price of the cupboard?
Choices:
7450
7400
7500
None of these
Answer: A
Question: There are two bags A and B. A contains 6 red flowers and 3 pink flowers. where as bag B contains 2 red flowers and 7 pink flowers. One flower is chosen from a bag randomly. What is the probability that the flower chosen is pink?
Choices:
5/6
5/1
5/9
5/2
Answer: C
Question: The average weight of 6 person's increases by 1.8 kg when a new person comes in place of one of them weighing 69 kg. What might be the weight of the new person?
Choices:
79.8 kg
86 kg
Data inadequate
None of these
Answer: A
Question: John and David work at a hospital with 8 other workers. For an internal review, 2 of the 8 workers will be randomly chosen to be interviewed. What is the probability that John and David will both be chosen?
Choices:
1/25
1/20
1/28
1/30
Answer: C
Question: Three business people wish to invest in a new company. Each person is willing to pay one third of the total investment. After careful calculations, they realize that each of them would pay $5,200 less if they could find two more equal investors. How much is the total investment in the new business?
Choices:
$78,000
$39,000
$ 5,200
$ 3,800
Answer: B
Question: Given that G and H are events such that
G(Y)= 0.02
G(Z)=0.4
G(YnZ)=0.4
find G (Y|Z) and G(Y|Z)
Choices:
1/20
1/25
1/10
1/50
Answer: A
Question: The product Z of two prime numbers is between 20 and 56. If one of the prime numbers is greater than 2 but less than 6 and the other is greater than 14 but less than 30 then what is Z?
Choices:
35
39
51
55
Answer: C
Question: A certain library assesses fines for overdue books as follows. On the first day that a book is overdue, the total fine is $0.09. For each additional day that the book is overdue, the total fine is either increased by $0.30 or doubled, whichever results in the lesser amount. What is the total for a book on the fourth day it is overdue?
Choices:
$0.66
$0.80
$0.90
$1.00
Answer: A
Question: Sushil got thrice as many marks in English as in Science. His total marks in English, Science and Maths are 162. If the ratio of his marks in English and Maths is 3:5, find his marks in Science?
Choices:
18
77
66
43
Answer: A
Question: Grace has 18 jellybeans in her pocket. She has 9 red ones, 5 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?
Choices:
8
12
13
15
Answer: D
Question: If two of the four expressions x + y , x + 6y , x - y , and 6x - y are chosen at random, what is the probability that their product will be of the form of x^2-(by)^2, where b is an integer?
Choices:
1/8
1/6
1/7
1/3
Answer: B
Question: A wheel of a car of radius 21 cms is rotating at 500 RPM. What is the speed of the car in km/hr?
Choices:
47.52 km/hr
7.92 km/hr
39.6 km/hr
3.96 km/hr
Answer: C
Question: The sum of two numbers is 44. Five times one number is equal to 6 times the other. The bigger of the two numbers is
Choices:
12
16
22
24
Answer: D
Question: I have a huge bed-sheet of 1 meter long.
I want to cuts this role into pieces of 20 centimeter long cloth.
How long will it take me to cut the bed sheet if each 20 centimeter cut took me 5 minutes ?
Choices:
245 minutes
445 minutes
545 minutes
None
Answer: A
Question: In a forest 100 deer were caught, tagged with electronic markers, then released. A week later, 50 deer were captured in the same forest. Of these 50 deer, it was found that 5 had been tagged with the electronic markers. If the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest, and if no deer had either left or entered the forest over the preceding week, what is the approximate number of deer in the forest?
Choices:
750
1,250
1,000
2,500
Answer: C
Question: A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
Choices:
27
20
21
24
Answer: B
Question: A man while returning from his factory, travels 2/3 of the distance by bus, 3/4 of the rest partly by car and partly by foot. If he travels 2 km on foot, find the distance covered by him.
Choices:
24 km
28 km
26 km
None of these
Answer: A
Question: A bag contains 6 red, 3 yellow and 4 green balls. 3 balls are drawn randomly. What is the probability that the balls drawn contain balls of different colours?
Choices:
3/5
3/11
1/4
7/16
Answer: C
Question: Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is?
Choices:
2767
120
287
261
Answer: B
Question: Six people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:
Choices:
1/8
1/3
1/5
1/9
Answer: C
Question: In a triangle, one side is 6 Cm and another side is 12 Cm. which of the following can be the perimeter of the triangle?
Choices:
25.
30.
32.
34.
Answer: C
Question: a,d,i,p,? what is next term
Choices:
t
r
s
y
Answer: D
Question: 1850 men have provisions for 15 days. If 150 more men join them, for how many days will the provisions last now?
Choices:
12.0
13.9
13.5
12.1
Answer: B
Question: If grapes are 91% water and raisins are 19% water, then how many kilograms did a quantity of raisins, which currently weighs 9 kilograms, 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:
72
81
90
99
Answer: B
Question: How many ounces of a 60% salt solution must be added to 50 ounces of a 20 percent salt solution so that the resulting mixture is 40% salt?
Choices:
30
50
60.33
70
Answer: B
Question: The banker's discount on Rs. 1600 at 15% per annum is the same as true discount on Rs. 1680 for the same time and at the same rate. What is the time?
Choices:
4 months
5 months
6 months
None of these
Answer: A
Question: An object thrown directly upward is at a height of h feet after t seconds, where h = -15 (t-2)^2 + 150. At what height, in feet, is the object 2 seconds after it reaches its maximum height?
Choices:
90
124
132
140
Answer: A
Question: A batsman in his 12th innings makes a score of 115 and thereby increases his average by 3 runs. What is his average after the 12th innings if he had never been ‘not out’?
Choices:
43
44
82
46
Answer: C
Question: A train crosses a platform of 110 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
Choices:
A)310m
C)180m
D)158m
E)350m
Answer: A
Question: What is the least number to be subtracted from 1300 to make it a perfect square?
Choices:
25
75
63
90
Answer: B
Question: Find the LCM of 0.6, 9.6 and 0.36.
Choices:
35.6
32.9
25.5
28.8
Answer: D
Question: An error 3% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is
Choices:
6.14%
6.23%
6.26%
6.09%
Answer: D
Question: The H.C.F. of two numbers is 32 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:
Choices:
448
421
460
365
Answer: A
Question: The diagonals of a rhombus are 15 cm and 20 cm. Find its area?
Choices:
288
150
238
31
Answer: B
Question: If x^2=x -1, then x^3=?
Choices:
3x-2
2x+1
-1
3x+4
Answer: C
Question: The product W of the first 10 prime numbers is closest to which of the following?
Choices:
6.5 x 10^8
6.5 x 10^9
6.5 x 10^10
6.5 x 10^11
Answer: B
Question: Solve the equation for x : 5x - 14 + 3x = 4 + 9 - x
Choices:
5
7
9
3
Answer: D
Question: By selling a watch for Rs.640/-, a man loses 20% what is that watch cost price
Choices:
Rs. 800/-
Rs. 880/-
Rs. 900/-
Rs. 990/-
Answer: A
Question: If r is an odd integer, which of the following must also be odd?
Choices:
r + r
3r + 3
2r + r
r^2 + 1
Answer: C
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 7%. What was its profit on the items sold in February?
Choices:
30%
35%
39.5%
40%
Answer: C
Question: If the radius of a circle that centers at the origin is 5, how many K points on the circle have integer coordinates?
Choices:
8
12
15
20
Answer: B
Question: What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 10%?
Choices:
28%
27%
35%
70%
Answer: C
Question: RAJA and RAM can together complete a piece of work in 4 days. If RAJA alone can complete the same work in 12 days, in how many days can RAM alone complete that work ?
Choices:
6 days
7 days
8 days
10 days
Answer: A
Question: Ajay spends 50% of his monthly income on household items, 25% of his monthly income on buying cloths, 15% of his monthly income on medicines and saves the remaining amount which is Rs. 9000. Find his monthly income.
Choices:
Rs. 90000
Rs. 50000
Rs. 45000
None of these
Answer: A
Question: How many different pairs of numbers (s, t) such that s = 3t can be obtained if s and t are selected from the set of number {0, 1, 2, 3, 4, 5, 6, 7, 10, 11}
Choices:
2
3
4
5
Answer: B
Question: If 0.75 : x :: 7 : 8, then x is equal to:
Choices:
B)1.2
C)0.95
D)0.85
E)0.9
Answer: C
Question: If (n+2)!/n!=90, n=?
Choices:
8
10
11
12
Answer: A
Question: The average of 11 numbers is 10.9. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is?
Choices:
12.2
10.2
11.5
11.7
Answer: C
Question: A girl multiplies 987 by a certain number and obtains 559981 as her answer. If in the answer, both 9’s are wrong but the other digits are correct, then the correct answer will be
Choices:
555181
555681
556581
None of these
Answer: B
Question: In a village there are 150 men and 90 women in present time.if in next year population will be P=(a^2 +b^2)^1/2 , and in every year men are reduces 10%.what is population of after 2 year.
Choices:
141
142
143
144
Answer: A
Question: How many factors does 25^2 have?
Choices:
8
24
25
26
Answer: A
Question: P can do a work in the same time in which Q and R together can do it. If P and Q work together, the work can be completed in 10 days. R alone needs 50 days to complete the same work. then Q alone can do it in
Choices:
22
25
27
30
Answer: B
Question: sum of the digits of 5^2010*8^673
Choices:
8
9
10
11
Answer: A
Question: A solution of 130 litres contains milk and water in the ratio 7:x. If thirty litres of water is added to the solution, the ratio becomes 3:2, find the value of x?
Choices:
2.4
2.9
2.8
3
Answer: A
Question: In a certain company, the ratio of the number of managers to the number of non-managers in any department must always be greater than 5 : 24. In the company, what is the maximum number of non-managers in a department that has 8 managers:
Choices:
37
38
39
40
Answer: B
Question: In how many ways Q can the crew of a ten oared boat be arranged ,when of the ten persons available, 2 of whom can row only on the bow side and 3 of whom can row only on the stroke side?
Choices:
2. 10!/(8! * 7!)
3. 5!/(3! * 2!)
4. (5!)^3/(3! * 2!)
5. 5!/(8! * 7!)
Answer: C
Question: The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages.
Choices:
16,28,36
5,10,12
30,32,45
6,8,10
Answer: A
Question: What is the probability of flipping a fair coin four times and the coin landing on heads on exactly one flip?
Choices:
1/4
1/6
1/12
1/16
Answer: A
Question: Two trains each 250 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 70 kmph respectively. In what time will they cross each other completely?
Choices:
15 sec
19 sec
12 sec
20 sec
Answer: C
Question: There are three vessels of equal capacity .Vessel A contains Milk and water in the ratio 12:10 ;Vessel B contains Milk and water in the ratio 2:1 and Vessel C contains Milk and water in the ratio 3:2 .If the mixture in all the three vessels is mixed up.What will be the ratio of water to milk ?
Choices:
392/598
598/392
210/279
398/547
Answer: A
Question: If v and y are integers, then vy(v + y) is
Choices:
Always negative
Positive when v is positive
Negative when v is negative
It cannot be determined by the information given
Answer: D
Question: A person jogged 10 times along the perimeter of a rectangular field at the rate of 12 kilometers per hour for 30 minutes. If field has a length that is twice its width, find the area of the field in square meters.
Choices:
32,000 square meters
65,000 square meters
20,000 square meters
43,000 square meters
Answer: C
Question: In expressing a length of 55.471 km as nearly as possible with the three significant digits, find the percentage error
Choices:
0.24%
0.052%
0.024%
None of these
Answer: B
Question: Two trains start from A & B and travel towards each other at
speed of 40kmph and 50kmph resp. At the time of the meeting the
second train has traveled 130km more than the first.the distance
between them.
Choices:
1170 km
1270 km
1280 km
1350 km
Answer: A
Question: The total of the ages of Jayant, Prem and Saransh is 93 years. Ten years ago, the ratio of their ages was 2 : 3 : 4. What is the present age of Saransh?
Choices:
31 years
34 years
38 years
None
Answer: A
Question: A man sells an article at 15% loss. Had he sold it for Rs. 420/- more he could have gained 20%. What is the cost price of the article?
Choices:
Rs.400/-
Rs.900/-
Rs.1200/-
None of these
Answer: C
Question: Average of first six multiples of 15 is
Choices:
44.5
52.5
15.75
17.7
Answer: B
Question: A bag contains 6 black and 6 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Choices:
4/3
4/5
4/9
1/2
Answer: D
Question: For a race a distance of 224 meters can be covered by P in 8 seconds and Q in 32 seconds. By what distance does P defeat Q eventually?
Choices:
672m
634m
671m
636m
Answer: A
Question: In a game of billiards, A can give B 40 points in 80 and he can give C 60 points in 80. How many points can B give C in a game of 100?
Choices:
50
60
65
70
Answer: A