antoine-444/aqua_rat_dataset huggingface dataset:
Question: E individuals pledged to pay equal contributions so that a charity’s goal of $x could be reached. If d of the contributors failed to pay their share, which of the following represents the additional number of dollars that each of the remaining individuals would have to pay in order to allow the charity to reach its goal?
Choices:
dx/E
dx
dx/E(E - d)
E-d
Answer: C
Question: In how many ways can live boys and three girls sit in a row such that all boys sit together?
Choices:
2887
2880
2886
2881
Answer: B
Question: A fair 8-sided dice labeled 1 to 8 is tossed three times. What is the probability the value of the dice shown is 3 at least once?
Choices:
57/512
55/512
9/512
11/512
Answer: A
Question: The simple interest on a sum of money will be Rs.400 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year?
Choices:
800
1200
2693
1732
Answer: A
Question: A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.1200, what is the reduced price for kg?
Choices:
s.46
s.49
s.41
s.60
Answer: D
Question: If 'Pink' is called 'Orange', 'Orange' is called 'Blue', 'Blue' is called 'Red', 'Red' is called 'Green', 'Green' is called 'Black' and 'Black' is called 'white', what would be the color of the sky ?
Choices:
Red
PINK
ORANCE
BLACK
Answer: A
Question: c.	What number should replace the letter K?
2, 2, 4, 12, 12, 24, 72, 72, 144, 432, K
Choices:
864
434
432
452
Answer: C
Question: In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 20, the dividend is:
Choices:
1200
1020
100
120
Answer: B
Question: Four representatives are to be randomly chosen from a committee of six men and six women. How many different 4-representative combinations contain at least one woman?
Choices:
415
455
480
495
Answer: C
Question: Tough and Tricky questions: Word Problems.
ACT Car Company wants to manufacture a new car known as Model X, and it is trying to determine how many cars it needs to sell in order to make an annual profit of $30,500,000. The annual fixed costs for Model X total $50,200,000. In addition, each Model X car has an average cost of $5,000 per vehicle to manufacture. If the Company forecasts it will sell 20,000 Model X cars this year, at what price must the Company sell the car to achieve the desired annual profit?
Choices:
$4,036
$9,035
$16,140
$36,140
Answer: B
Question: What is the probability of getting a queen or spade from a set of cards?
Choices:
4/13
5/13
6/13
7/13
Answer: A
Question: In a certain game, each player scores either 2 or 5 points. If n players score 2 points and m players score 5 points and the total number of points scored is 65, what is the least possible difference between n and m.
Choices:
b.3
c.5
d.6
e.9
Answer: C
Question: The set X consists of the following terms: {4,44,444,4444,.....}, where the nth term has n 4's in it for example 10th term is 4444444444. What is the hundreds digit of the sum of the first 25 terms of set X?
Choices:
2
4
6
8
Answer: A
Question: Set X is composed of nine numbers, labeled X1 through X9. Set Y is also composed of nine numbers, labeled Y1 through Y9. Set Y is defined as follows: Y1 = 1 + X1; Y2 = 2 + X2; and so on, including Y9 = 9 + X9. How much larger is the sum of set Y's mean and range than the sum of set X's mean and range?
Choices:
cannot be determined
9
5
12
Answer: A
Question: Rohit spends 40 % of his salary on food, 20% on house rent,10% on entertainment and 10% on conveyance. If his savings at the end of the month are Rs. 1500, Then his monthly salary is:
Choices:
Rs. 7500
Rs. 8000
Rs. 9,000
Rs. 10,000
Answer: B
Question: The largest number among st the following that will perfectly divide 101^100 – 1 is:
Choices:
9900
10,000
11,000
12000
Answer: B
Question: If x : y = 2 : 9, find the value of (2x + 2y) : (5x – y)
Choices:
22:1
7:1
5:3
8:1
Answer: A
Question: If x is 13 percent greater than 80, then x =
Choices:
90.4
88.0
70.9
71.2
Answer: A
Question: The average age of a family of 6 members is 22 years.If the age of the youngest member is 7 years,what was the average age of the family at the birth of the youngest member?
Choices:
15
21
12
19
Answer: A
Question: The parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)?
Choices:
23.58
23.56
23.51
23.57
Answer: D
Question: If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%?
Choices:
8
5
2
1
Answer: A
Question: If y > 0, (4y)/20 + (3y)/10 is what percent of y?
Choices:
50%
60%
70%
80%
Answer: A
Question: If the sum of two numbers is 18 and the sum of their squares is 220, then the product of the numbers is
Choices:
44
52
88
90
Answer: B
Question: Eight years ago, the ratio of ages of P and Q was 5:2. Six years from now, the ratio of their ages will be 4:3. What is P's age at present?
Choices:
18
20
22
24
Answer: A
Question: A, B and C are partners. A receives 2/3 of profits, B and C dividing the remainder equally. A's income is increased by Rs.200 when the rate to profit rises from 5 to 7 percent. Find the Capital of B?
Choices:
2669
2500
2762
8227
Answer: B
Question: A university needs to select an eight-member committee on extracurricular life, whose members must belong either to the student government or to the student advisory board. If the student government consists of 9 members, the student advisory board consists of 8 members, and 5 students hold membership in both organizations, how many different committee are possible?
Choices:
275
325
385
495
Answer: D
Question: Which of the following is an integer?
I. 9! / 6!
II. 9! / 8!
III. 9! / 7!5!
Choices:
II only
III only
I and II only
I, II, and III
Answer: C
Question: John bought a shirt on sale for 25% off the original price and another 25 % off the discounted price. If the final price was $18, what was the price before the first discount?
Choices:
$32
$28.44
$67.54
$65.23
Answer: A
Question: Having scored 96 runs in the 19th inning, a cricketer increases his average score by 4. What will be his average score after 19 innings?
Choices:
27
26
22
24
Answer: D
Question: Two pipes A and B can fill a tank in 10 hours and 20 hours respectively. If both the pipes are opened simultaneously, how much time will be taken to fill the tank?
Choices:
20/3
15/7
11/17
1/4
Answer: A
Question: At the wholesale store you can buy an 8-pack of hot dogs for $1.55, a 20-pack for $3.05, and a 450-pack for $22.95. What is the greatest number of hot dogs you can buy at this store with $200?
Choices:
3,700
2,108
2,124
2,256
Answer: A
Question: 4, 6, 12, 14, 28, 30, ?
Choices:
40
60
80
100
Answer: B
Question: In a sample of books, 10 percent are 100-200 pages long, and 60 percent have more than 100 pages. What percentage of the books are more than 200 pages?
Choices:
50
60
70
80
Answer: A
Question: A certain sum of money is divided among A, B and C so that for each Rs. A has, B has 65 paisa and C 40 paisa. If C's share is Rs.40, find the sum of money?
Choices:
Rs.279
Rs.228
Rs.205
Rs.225
Answer: C
Question: The speed of a car increases by 2 kms after every one hour. If the distance travelling in the first one hour was 35 kms. what was the total distance travelled in 12 hours?
Choices:
482 kms
552 kms
556 kms
None of these
Answer: B
Question: A tank can be filled by a tap in 20 minutes and by another tap in 60 minutes. Both the taps are kept open for 10 minutes and then the first tap is shut off. After this, the tank will be completely filled in what time ?
Choices:
15 mins
20 mins
25 mins
30 mins
Answer: B
Question: If x and y are integers and xy = 330, x or y must be divisible by which of the following?
Choices:
3
6
20
30
Answer: A
Question: What will be remainder when (67^67 + 67) is divided by 68 ?
Choices:
66
67
71
72
Answer: A
Question: If A : B= 3 : 5 and B : C = 7 : 9, then A : B : C is:
Choices:
21:35:45
5:10:15
12:24:36
36:42:8
Answer: A
Question: The expenses of organizing a garden party increased from Rs.9000 to Rs.12000 when the number of registered candidates increased from 25 to 40. Find the total cost of organizing the party if there are 50 final registrations.
Choices:
Rs.12000
Rs.13000
Rs.14000
None
Answer: C
Question: As part of a promotion designed to attract visitors, an amusement park gives out 24,600 free tickets per year. Usually, the number of tickets given away each month is constant. Due to an employee error, only 7,000 tickets were given out in the first four months of the year. How many tickets should the amusement park give out in the fifth month so that it will begin the sixth month back on its regular giveaway schedule?
Choices:
2,079
2,200
3,250
2,460
Answer: C
Question: The mass of 1 cubic meter of a substance is 300 kilograms under certain conditions. What is the volume, in cubic centimeters, of 1 gram of this substance under these conditions? (1 kilogram = 1,000 grams and 1 cubic meter = 1,000,000 cubic centimeters)
Choices:
1.33
8.0
12.5
80.0
Answer: A
Question: What will be the vulgar fraction of 0.4
Choices:
2/5
3/2
3/7
3/8
Answer: A
Question: In how many different number of ways 5 boys and 3 girls can sit on a bench such that girls always sit together.
Choices:
B)730
C)4230
D)4320
E)790
Answer: C
Question: A man runs 1 mile at a speed of r mph. If he runs at a speed of r+20 miles per hour, he would run the same distance in 4 minutes less. What is the value of r?
Choices:
8 mph
7 mph
10 mph
5 mph
Answer: C
Question: The London Racetrack needs to submit its 3 fastest horses to the Kentucky Derby out of 25 horses. However, all of their information was lost and they don't know any of the horse's times. Similarly, they all look identical so they can't remember who's fastest.
They can only race 5 horses at once, so what is the fewest number of races they can conduct to find the 3 fastest horses?
Choices:
7
5
4
8
Answer: A
Question: How many positive integer solutions does the equation 8x+2y = 100 have?
Choices:
84
16
35
14
Answer: A
Question: At the end of year X, automobile installment credit accounted for 36% of all outstanding consumer installment credit. At that time automobile finance companies extended $75 billion of credit, or 1/2 of the automobile installment credit. How many billion dollars of consumer installment credit was outstanding at that time?
Choices:
150
400
416.67
420.34
Answer: C
Question: A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 4356, the number of the member is the group is:
Choices:
66
77
87
97
Answer: A
Question: If 64(2^x) = 1 then x=
Choices:
–1
0
-6
5
Answer: C
Question: Marla starts running around a circular track at the same time Nick starts walking around the same circular track. Marla completes 30 laps around the track per hour and Nick completes 15 laps around the track per hour. How many minutes after Marla and Nick begin moving will Marla have completed 4 more laps around the track than Nick?
Choices:
16
12
15
20
Answer: A
Question: What is the equation of a circle of radius 7 units centered at (3, 2)?
Choices:
x^2 + y^2 - 6x – 4y = 36
x^2 + y^2 + 6x + 4y = 23
x^2 + y^2 - 6x – 4y = - 23
x^2 + y^2 + 6x – 4y = 23
Answer: A
Question: On a windy day, out of every 3 sand dunes formed, only 1 remains. Out of 5 blown-out
sand-dunes, 1 has treasure and only 2 out of 7 sand dunes formed have lucky coupons. Find
the probability that the blown-out sand dune will contain both the things.
Choices:
4/75
7/75
3/79
4/5
Answer: C
Question: The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
Choices:
34
56
76
35
Answer: D
Question: A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
Choices:
1:2
2:5
6:9
6:2
Answer: A
Question: The side of a rhombus is 26 m and length of one of its diagonals is 20 m. The area of the rhombus is?
Choices:
429
418
480
410
Answer: C
Question: How many litres of pure acid are there in 12 litres of a 40% solution
Choices:
4.8
3.5
2.3
4.4
Answer: A
Question: In 2010, Arman’s birthday was on a Thursday. What day of the week was it 69 days after his birthday?
Choices:
Wednesday
Saturday
Sunday
Monday
Answer: A
Question: The volume of a sphere with radius r is (4/3)*pi*r^3 and the surface area is 4*pi*r^3. If a sperical balloon has a volume of 2304 pi cubic centimeters, what is hte surface area of the balloon in square centimeters?
Choices:
b. 100
c. 400
d. 1,800
e. 10,000
Answer: C
Question: what is the next term of this series6,10,9...?
Choices:
10
11
12
15
Answer: D
Question: A bullet train 140 m long is running at 60 kmph. In how much time will it pass a platform 160 m long?
Choices:
18 Seconds
41 Seconds
24 Seconds
29 Seconds
Answer: A
Question: A circular garden is surrounded by a fence of negligible width along the boundary. If the length of the fence is 1/6 of th area of the garden. What is the radius of the circular garden?
Choices:
2
4
8
12
Answer: D
Question: The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
Choices:
225 meters
245 meters
250 meters
300 meters
Answer: B
Question: Consider a sequence of numbers given by the expression 7 + (s - 1) * 5, where n runs from 1 to 80.What is the sum of this series ?
Choices:
1636
16360
16000
15360
Answer: B
Question: A father tells his son, "I was of your present age when you were born". If the father is 36 now, how old was the boy five years back ?
Choices:
13
17
20
25
Answer: A
Question: The ratio of buses to cars on River Road is 1 to 10. If there are 90 fewer buses than cars on River Road, how many cars are on River Road?
Choices:
40
100
30
20
Answer: B
Question: A man borrows Rs. 20,000 at 10% compound interest. At the end of every year he pays Rs. 2000 as part repayment. How much does he still owe after three such installments?
Choices:
Rs.20000
Rs.15000
Rs.10000
Rs.13000
Answer: A
Question: If A lends Rs.3500 to B at 10% per annum and B lends the same sum to C at 11.5% per annum then the gain of B in a period of 3 years is?
Choices:
157.29
157.50
157.30
157.23
Answer: B
Question: How many numbers with 4 different digits can be formed using only the odd digits?
Choices:
20
40
60
120
Answer: D
Question: A and B are two partially filled buckets of water. If 8 liters are transferred from A to B, then A would contain one-third of the amount of water in B. Alternatively, if 8 liters are transferred from B to A, B would contain one-half of the amount of water in A. Bucket A contains how many liters of water?
Choices:
88/5
17
21
23
Answer: A
Question: On 8th Feb, 1995 it was Wednesday. The day of the week on 8th Feb, 1994 was
Choices:
Tuesday
Thursday
Friday
None
Answer: A
Question: In how many different ways can the letters of the word 'DETAIL' be arranged such that the consonants must occupy only the odd positions?
Choices:
64
120
36
360
Answer: C
Question: A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2490 ?
Choices:
Rs. 830
Rs. 822
Rs. 812
Rs. 810
Answer: A
Question: If y/(x - z) = (y + x)/z = x/y then find x : y : z ?
Choices:
3 : 2 : 1
4 : 2 : 3
2 : 4 : 7
none of these
Answer: B
Question: Determine the value of (27/31*31/27)*3
Choices:
1
2
3
none
Answer: C
Question: A bowl of fruit contains 14 apples and 25 oranges. How many oranges must be removed so that 70% of the pieces of fruit in the bowl will be apples?
Choices:
6
14
17
19
Answer: D
Question: What is the area of square field whose side of length 15 m?
Choices:
225 sq m
586 sq m
287 sq m
296 sq m
Answer: A
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:
9
8
3
5
Answer: C
Question: Raju age after 14 years will be 3 years more than 5 times his age 5 years back, What is the present age of Raju
Choices:
9 years
5 years
6 years
7 years
Answer: A
Question: Jane covered a distance of 340 miles between city A and city taking a total of 5 hours. If part of the distance was covered at 60 miles per hour speed and the balance at 80 miles per hour speed, how many hours did she travel at 60 miles per hour?
Choices:
3 Hours
4 Hours
5 Hours
6 Hours
Answer: A
Question: If the length and breadth of a room are increased by y feet each, the perimeter increases by 16 feet. Find y
Choices:
2
6
4
3
Answer: C
Question: The difference between a number and its three fifth is 50. What is the number?
Choices:
100
125
180
None
Answer: B
Question: Out of 4 consonants and 2 vowels, how many words of 3 consonants and 1 vowel can be formed?
Choices:
192
252
2150
None of these
Answer: A
Question: In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
Choices:
70%
100%
250%
none
Answer: A
Question: A student has to obtain 45% of the total marks to pass. He got 150 marks and failed by 30 marks. The maximum marks are?
Choices:
250
280
320
400
Answer: D
Question: If 9 is a factor of 2p, then which of the following may not be an integer?
Choices:
6p/54 + 2p/3
(2p+27)/9
(81-4p^2)/81
(2p-3)/3
Answer: A
Question: How many times do the hands of a clock coincide in a day?
Choices:
22
24
25
26
Answer: A
Question: You can throw a baseball at 9 feet per second. If that ball travels through the air for one minute, how far will the ball travel?
Choices:
361 feet
448 feet
510 feet
540 feet
Answer: D
Question: The average age of an adult class is 40years. 8 new students with an avg age of 32years join the class. Therefore decreasing the average by 4year. Find what was theoriginal strength of class?
Choices:
8
15
17
18
Answer: A
Question: 2610.0 miles - 2554.8 miles =?
Choices:
45. 2 miles
95. 2 miles
85. 2 miles
55. 2 miles
Answer: D
Question: In a survey of parents, exactly 7/8 of the mothers and 3/4 of the fathers held full-time jobs. If 40 percent of the parents surveyed were women, what percent of the parents did not hold full-time jobs?
Choices:
20%
15%
18%
16%
Answer: A
Question: All the students of class are told to sit in circle shape. Here the boy at the 8 th position is exactly opposite to 33 th boy. Total number of boys in the class?
Choices:
50
28
38
48
Answer: A
Question: What is the result of (5!*3! -5!*2!)/(5!*4)
Choices:
1
2
8
6
Answer: A
Question: A bag contains 2 white marbles and 2 black marbles. If each of 2 girls and 2 boys randomly selects and keeps a marble, what is the probability that all of the girls select the same colored marble?
Choices:
1/10
1/3
1/4
1/5
Answer: B
Question: If 2+3= 35, 4+5 = 189, what is 10+1=?
Choices:
121
123
124
125
Answer: A
Question: A man gains 20% by selling an article for a certain price. If he sells it at double the price, the percentage of profit will be.
Choices:
140%
150%
160%
170%
Answer: A
Question: Twenty-eight percent of the programmers in a startup company weigh 200 pounds or more. Twenty-five percent of the programmers that are under 200 pounds in that same company weigh 100 pounds or less. What percent of the programmers in the startup company weigh between 100 and 200 pounds?
Choices:
20%
25%
54%
75%
Answer: C
Question: It takes John exactly 30 minutes to rake a lawn and it takes his son Todd exactly 60 minutes to rake the same lawn. If John and Todd decide to rake the lawn together, and both work at the same rate that they did previously, how many minutes will it take them to rake the lawn
Choices:
20
36
45
90
Answer: A
Question: I have 243 pieces of candy to hand out to my class of 27 students. I would like to give each student the same amount of candy, how much should I give to each student?
Choices:
7
9
15
6
Answer: B
Question: A candidate got 35% of the votes and lost to the rival by 2100 votes. How many votes were cast?
Choices:
7000
7400
7600
7800
Answer: A
Question: During 2001, a stock lost 80 percent of its value. During the following year, the stock's value increased by 200 percent. Which of the following is the percent change in the stock's value during those two years?
Choices:
40 percent decrease
20 percent increase
60 percent increase
140 percent increase
Answer: A
Question: What will come in place of the x in the following Number series? 177147 ,59049 ,19683 ,6561, x
Choices:
2189
2183
2187
2186
Answer: C
Question: In how many different ways can the letters of the word LEADER be arranged so that the vowels always come together?
Choices:
2450
4320
3245
5640
Answer: B
Question: The average of 11 results is 50, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
Choices:
56
88
266
212
Answer: A
Question: Q is the brother of R;
P is the sister of Q;
T is the brother of S;
S is the daughter of R.
Who are the cousins of Q ?
Choices:
S and H
S and K
S and T
S and E
Answer: C
Question: Someone invested x dollars at simple annual interest, and the investment, including interest will be doubled in 8 and 1/3 years. What will be the total amount of the investment after 25 years?
Choices:
2x
5x
6x
7x
Answer: C
Question: Sandy walked 20 meters towards south. Then Sandy turned to her left and walked 20 meters. She then turned to her left and walked 20 meters. She then turned to her right and walked 20 meters. What distance is she from the starting point and in which direction?
Choices:
40 m North
30 m West
40 m East
20 m West
Answer: C
Question: Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak's share is:
Choices:
2687
8400
2688
2671
Answer: B
Question: The C.P of 10 pens is equal to the S.P of 16 pens. Find his gain % or loss%?
Choices:
loss 16 6/3%
loss 16 2/3%
loss 18 2/3%
loss 37.5%
Answer: D
Question: Arvind's gym class can be divided into 8 teams with an equal number of players on each team or into 12 teams with an equal number of players on each team. What is the lowest possible number of students in the class?
Choices:
24
36
48
96
Answer: A
Question: 36 men working 8 hours per day dig 30 m deep. How many extra men should be put to dig to a depth of 50 m working 6 hours per day?
Choices:
A)44
C)66
D)55
E)37
Answer: A
Question: A train moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train?
Choices:
70 km/hr
79 km/hr
79.2 km/hr
None of these
Answer: C
Question: The factorial expression 12!/2! is not divisible by which of the following integers?
Choices:
5
6
7
None of these
Answer: D
Question: A given line L has an equation 3x+4y=5. Which of the following is the equation of line which is parallel to the above line?
Choices:
3x + 4y = 10
3x + 5y = 5
3x + 5y = 3
3x – 4y = 5
Answer: A
Question: Raj tossed 3 dices and there results are noted down then what is the probability that Raj gets 10?
Choices:
27/216
27/212
27/211
27/210
Answer: A
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 T that the next couple the maitre 'd seats will not order dessert?
Choices:
25%
40%
60%
75%
Answer: A
Question: Find the remainder when 2^31 is divided by 5.
Choices:
3
1
9
None of them
Answer: A
Question: If a train, travelling at a speed of 90 kmph, crosses a pole in 5 sec, then the length of train is?
Choices:
125 m
129 m
120 m
165 m
Answer: A
Question: A number when divided by 899 gives a remainder 63. If the same number is divided by 29, the remainder will be
Choices:
13
15
Data inadequate
NOne
Answer: C
Question: If paint costs $3.20 per quart, and a quart covers 120 square feet, how much will it cost to paint the outside of a cube 10 feet on each edge?
Choices:
$ 16.00
$ 96.00
$108.00
$196.00
Answer: A
Question: If one root of the equation 2x^2 + 3x – k = 0 is 4, what is the value of k?
Choices:
40
44
45
56
Answer: B
Question: Ramu rides his bike at an average speed of 45 km/hr and reaches his desitination in four hours. Somu covers the same distance in six hours. If Ramu covered his journey at an average speed which was 9 km/hr less and Somu covered his journey at an average speed which was 10 km/hr more, then the difference in their times taken to reach the destination would be (in minutes)?
Choices:
30
88
66
41
Answer: A
Question: A person travels equal distances with speeds of 3 km/hr, 4 km/hr and 5 km/hr and takes a total time of 47 minutes. The total distance is?
Choices:
2 km
3 km
4 km
5 km
Answer: B
Question: What is the units digit of (493) (915) (381) (756)
Choices:
1
4
5
6
Answer: B
Question: 15 men can complete a work in 10 days while 20 boys can complete the same work in 15 days .How many days will 10 men and 10 boys together take to complete the same work
Choices:
10 days
11 days
12 days
13 days
Answer: A
Question: If b does not equal zero, and ab = b/3, what is the value of a?
Choices:
B)1/4
C)1/3
D)1/2
of the above
Answer: B
Question: If x = (y)(y + 1) and y is a prime number less than 9, which of the following could not be the product of 2 consecutive integers?
Choices:
b) 11x
c) 20x
d) 30x
e) 57x
Answer: B
Question: An amount of Rs.1560 was divided among A, B and C in the ratio 1/2:1/3:1/4. Find the share of C?
Choices:
Rs.361
Rs.369
Rs.360
Rs.363
Answer: C
Question: Calculate the value of y: 5y^2-8y+55 = 59
Choices:
1
2
9
8
Answer: B
Question: How many divisions are there on the face of a clock?
Choices:
5
6
22
25
Answer: A
Question: 4, 12, 48, (...)
Choices:
10080
6200
10020
240
Answer: D
Question: If a and b are positive even integers, and the least common multiple of a and b is expressed as a*b/n, which of the following statements could be false?
Choices:
(a*b)/n < ab
ab is multiple of 2.
(a*b)/n is a multiple of 2
n is a multiple of 4.
Answer: D
Question: The side of a square is increased by 40% then how much % does its area increases?
Choices:
96
50.75
42.75
52.75
Answer: A
Question: John is three times as old as Sam. If John will be twice as old as Sam in five years, how old was Sam two years ago?
Choices:
4
6
3
16
Answer: C
Question: Population of a city in 2004 was 1000000. If in 2005 there is an increment of 40% , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45%, then find the population of city at the end of the year 2007
Choices:
977522
984424
997454
1319500
Answer: D
Question: If x=2, which of the following is(are) true? I. x^2=2x II x/-4 = 1 III |x|=-x
Choices:
III only
II,III only
I only
I,III only
Answer: C
Question: Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Choices:
10.3 sec
10.7 sec
10.8 sec
10.1 sec
Answer: C
Question: In a can, there is a mixture of milk and water in the ratio 2 : 5. If it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 4 : 5. Find the capacity of the can?
Choices:
44
48
50
8
Answer: D
Question: What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 58?
Choices:
Rs.3944
Rs.3987
Rs.3929
Rs.3938
Answer: A
Question: The juice stall at the circus stocked just 2 brands of orange juice tetra packs. Brand A costs $1 per pack and brand B costs $1.5 per pack. Last week , brand A contributed to p% of stall’s revenue and accounted for q% of sales of juice tetra packs. Which of the following expresses p in terms of q?
Choices:
200q/(250-q)
200q/(300-q)
250q/(400-q)
300q/(500-q)
Answer: B
Question: If the average of a sequence of consecutive multiple of 18 is 153, and the greatest term is 270, how many terms E in the sequence are smaller than the average?
Choices:
6
7
8
9
Answer: B
Question: A hall is 18 meters long and 9 meters wide. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, what is the volume of the hall (in cubic meters)?
Choices:
758
862
972
1024
Answer: C
Question: A guy was asked to specify his age in years. He said, “Take my age 8 years hence, multiply it by eight and subtract eight times of my age 8 years ago and get the half of the result and you will know my age.” What was the age of that guy?
Choices:
55
63
64
70
Answer: C
Question: What is the sum of the numbers between 1 and 14, inclusive?
Choices:
105
125
150
160
Answer: A
Question: The HCF of two numbers is 12 and their difference is also 12. The numbers are
Choices:
94, 106
70, 82
84, 96
None
Answer: C
Question: A set consists of 12 numbers, all are even or multiple of 5. If 7 numbers are even and 14 numbers are multiple of 5, how many numbers is multiple of 10?
Choices:
1
2
3
9
Answer: D
Question: The salary of a worker is first increased by 10% and afterwards reduced by 10%. What is the net change in the worker's salary?
Choices:
1% decrease
2% increase
2% decrease
no change
Answer: A
Question: In how many ways can 5 boys and 3 girls sit around a table in such a way that no two girls sit together?
Choices:
1400
1440
1800
1900
Answer: B
Question: Out of 8 people working on a project, 3 are graduates. If 3 people are selected at random, what is the probability that there is at least one graduate among them?
Choices:
19/24
23/28
29/34
36/41
Answer: B
Question: The manager of a produce market purchased a quantity of tomatoes for $0.80 per pound. Due to improper handling, 10 percent of the tomatoes, by weight, were ruined and discarded. At what price per pound should the manager sell the remaining tomatoes if she wishes to make a profit on the sale of the tomatoes equal to 9 percent of the cost of the tomatoes.
Choices:
$0.97
$0.98
$1.00
$1.20
Answer: A
Question: P and Q started a business investing Rs, 85,000 and Rs. 15,000 respectively. In what ratio the profit named after 2 years bo divided between P and Q respectively ?
Choices:
17:3
17:2
17:1
17:0
Answer: A
Question: A certain telephone company offers two plans, A and B. Under plan A, the company charges a total of $0.60 for the first 6 minutes of each call and $0.06 per minute thereafter. Under plan B, the company charges $0.08 per minute of each call. What is the duration of a call, in minutes, for which the company charges the same amount under plan A and under plan B?
Choices:
12
15
21
30
Answer: A
Question: One pump drains one-half of a pond in 6 hours, and then a second pump starts draining the pond. The two pumps working together finish emptying the pond in one-half hour. How long would it take the second pump to drain the pond if it had to do the job alone?
Choices:
1.1 hour
3 hours
5 hours
6 hours
Answer: A
Question: Two trains of equal length 120 metres move in the same direction. The faster train completely overtakes the slower one in 15 seconds. If the slower train were to move at half its speed, the over taking would take in 10 seconds. At what speeds are the 2 trains moving (faster and slower respectively in m/s)
Choices:
32, 16
30, 18
28, 14
26, 14
Answer: A
Question: There are 3000 students in a school and among them 20 % of them attends chess class. 40% of the students who are in the chess class are also enrolled for swimming. No other students are interested in swimming so how many will attend the swimming class if all enrolled attends?
Choices:
240
100
50
20
Answer: A
Question: What is the total number of prime numbers less than 45?
Choices:
18
19
20
14
Answer: D
Question: The first three terms of an infinite sequence are 2, 7, and 22. After the first term, each consecutive term can be obtained by multiplying the previous term by 3 and then adding 1. What is the sum of the tens digit and the units digit of the 31st term in the sequence?
Choices:
49
4
8
4
Answer: B
Question: A certain roller coaster ride has more than 29 people waiting in line to board. If riders are let on only in groups of 5 there will be 2 riders that do not get on. If the riders are let on only in groups of 6 all riders will be able to get on the roller coaster. If less than 112 people are in the line, which of the following is the largest possible value of number of people in the line?
Choices:
108
106
102
96
Answer: C
Question: In how many ways Chief Minister and Minister be elected from a team of 12 members?
Choices:
130
132
135
165
Answer: B
Question: what is the remainder of 18!/23?
Choices:
1
3
4
5
Answer: A
Question: The ratio of the number of ladies to gents at a party was 1:2 but when 2 ladies and 2 gents left, the ratio became 1:3. How many people were at the party originally?
Choices:
52
12
65
13
Answer: B
Question: In a factory that produces computer circuit boards, 4.5 percent of all boards produced are found to be defective and are repaired before being sold, but 10 percent of all defective boards are sold without being repaired. What percentage of boards produced in the factory are defective?
Choices:
5.0%
6.0%
10.0%
14.5%
Answer: A
Question: John spent a total of $135 on baseball tickets. The price of a ticket is either $12 for the field seats or $5 for the balcony. What is the minimum amount X of dollars he could have spent for the $12 tickets?
Choices:
$60
$84
$96
$120
Answer: A
Question: 110 is increased by 50%. Find the final number.
Choices:
110
150
155
165
Answer: D
Question: There are 361 doctors and nurses in a hospital. If the ratio of the doctors to the nurses is 8 : 11, then how many nurses are there in the hospital?
Choices:
152
57
171
181
Answer: A
Question: What will be the fraction of 25%
Choices:
1/4
1/10
1/11
None of above
Answer: A
Question: A cistern 4 m long and 8 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:
Choices:
50 m2
52 m2
62 m2
55 m2
Answer: C
Question: A student chose a number, multiplied it by 3, then subtracted 220 from the result and got 110. What was the number he chose?
Choices:
100
110
120
130
Answer: B
Question: The smallest number which when subtracted from the sum of squares of 11 and 13 gives a perfect square is
Choices:
1
5
9
8
Answer: A
Question: There are 50 employees in the office of ABC Company. Of these, 22 have taken an accounting course, 14 have taken a course in finance and 15 have taken a marketing course. Nine of the employees have taken exactly two of the courses and 2 employee has taken all three of the courses. How many of the 50 employees have taken none of the courses?
Choices:
5
8
12
10
Answer: C
Question: What is the area of square field whose side of length 17 m?
Choices:
777
266
289
261
Answer: C
Question: The average temperature on Monday, Tuesday and Wednesday was 250. The average temperature on Tuesday, Wednesday and Thursday was 240. If the temperature on Thursday was 270, what was the temperature on Monday?
Choices:
210
270
300
400
Answer: C
Question: John makes $60 a week from his job. He earns a raise andnow makes $70 a week. What is the % increase?
Choices:
16.66%
17.8%
18%
19.5%
Answer: A
Question: How many two-digit numbers that do not contain the digits 1 or 4 are there?
Choices:
56
64
49
84
Answer: A
Question: A motorist travel to a place 220 km away at an average speed of 72 km/hr and returns at 55 km/hr.His average speed for the whole jouney in km/hr is
Choices:
47
62.36
70.4
None of these
Answer: B
Question: A fruit seller had some apples. He sells 50% apples and still he has 5000. Originally he had how many apples?
Choices:
10000
11005
12540
12450
Answer: A
Question: What is the area A of the square with the following coordinates: (x, y), (20, 20), (20, 5), (x, 5)?
Choices:
85.
125.
225.
It cannot be determined from the information given
Answer: C
Question: Find the odd man out
2880, 480, 90, 24, 8, 4, 4
Choices:
90
24
8
4
Answer: A
Question: A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is:
Choices:
10 hours
15 hours
30 hours
none
Answer: B
Question: A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 5 km in stationary water?
Choices:
1 hour
1 hour 15 min
1 hour 30 min
1 hour 10 min
Answer: B
Question: The center of a circle is (5, -2). (5, 5) is outside the circle, and (1, -2) is inside the circle. If the radius, r, is an
integer, how many possible values are there for r?
Choices:
5
8
3
2
Answer: A
Question: Of the diplomats attending a summit conference, 22 speak French, 32 do not speak Russian, and 20% of the diplomats speak neither French nor Russian. If 10% of the diplomats speak both languages, then how many diplomats attended the conference?
Choices:
96
100
120
150
Answer: B
Question: A train 350 m long, running with a speed of 63 km/hr will pass a tree in?
Choices:
16 sec
17 sec
88 sec
20 sec
Answer: D
Question: The average salary of all the workers in a workshop is Rs. 8000. The average salary of 6 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is?
Choices:
B)21
C)18
D)56
E)12
Answer: B
Question: A letter lock consists of three rings each marked with four different letters. The number of distinct unsuccessful attempts to open the lock is at the most?
Choices:
63
65
67
90
Answer: A
Question: In a box there is a number of toys, out of which 1/6 are dolls, 1/12 are balls, and the remaining 18 are plastic cubes. How many dolls are in the box?
Choices:
6
4
16
3
Answer: B
Question: If x is equal to the sum of the integers from 10 to 30, inclusive, and y is the number of even integers from 10 to 30, inclusive, what is the value of x + y?
Choices:
411
421
431
441
Answer: C
Question: The winning relay team in a high school sports competition clocked 48 minutes for a distance of 13.2 km. Its runners A, B, C and D maintained speeds of 19 kmph, 20 kmph, 21 kmph, and 22 kmph respectively. What is the ratio of the time taken by B to than taken by D?
Choices:
11:10
9:8
8:9
None of these
Answer: A
Question: If a particular player is never chosen, in how many ways can 11 cricket players be chosen out of 13 players?
Choices:
12
64
72
90
Answer: A
Question: If {x} is the product of all even integers from 1 to x inclusive, what is the greatest prime factor of {14} + {12}?
Choices:
20
15
5
2
Answer: B
Question: Rs. 3900 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/3:1/4?
Choices:
187
300
600
900
Answer: D
Question: Using all the letters of the word "THURSDAY", how many different words can be formed?
Choices:
6
8!
5
4
Answer: B
Question: A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 o'clock, the true time is:
Choices:
4 pm
5 am
6 am
6 pm
Answer: A
Question: Rs.590 is divided amongst A, B, C so that 5 times A's share, six times B's share and eight times C's share are all equal. Find C's share?
Choices:
Rs.150
Rs.289
Rs.128
Rs.129
Answer: A
Question: This topic is locked. If you want to discuss this question please re-post it in the respective forum.
If y ≠ 3 and 3w/y is a prime integer greater than 2, which of the following must be true?
I. w = y
II. y = 1
III. w and y are prime integers.
Choices:
None
II only
III only
I and III
Answer: A
Question: Tea worth Rs. 126 per kg are mixed with a third variety in the ratio 1: 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be?
Choices:
266.50 per kg
175.50 per kg
172.50 per kg
176.50 per kg
Answer: B
Question: The banker's gain on a bill due due 1 year hence at 12% per annum is Rs.9. The true discount is
Choices:
Rs.75
Rs.54
Rs.50
none
Answer: A
Question: When p is divided by 9, the remainder is 6. All of the following are possible values of p, except for which of the following?
Choices:
33
51
59
69
Answer: C
Question: Which of the following is the greatest possible common divisor of two different positive integers, both smaller than 124?
Choices:
122.
63.
62
61
Answer: D
Question: The average (arithmetic mean) of 4 different integers is 76. If the largest integer is 90, what is the least possible value of the smallest integer?
Choices:
19
29
30
37
Answer: D
Question: Bhanu spends 30% of his income on petrol on scooter 14% of the remaining on house rent and the balance on food. If he spends Rs.300 on petrol then what is the expenditure on house rent?
Choices:
98
62
797
123
Answer: A
Question: The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 250 resolutions?
Choices:
704 m
352 m
288 m
378 m
Answer: B
Question: A batsman in his 17th innings makes a score of 85 and their by increasing his average by 3. What is his average after the 17thinnings?
Choices:
77
26
37
88
Answer: C
Question: One-third of Rahul's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,50,000 as total savings, how much has he saved in Public Provident Fund ?
Choices:
60000
50000
90000
70000
Answer: A
Question: Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 15 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
Choices:
432
2881
287
221
Answer: A
Question: Gold is 19 times as heavy as water and copper is 9 times as heavy as water. In what ratio should these be mixed to get an alloy 15 times as heavy as water ?
Choices:
3 : 2
5 : 7
3 : 7
3 : 6
Answer: A
Question: If w,x,y,z are consecutive positive integers ; then which of the following is always odd?
[1] w*x+(y+2)^2*z
[2] w^x + z^y
[3] 13x^2
Choices:
2
3
1 and 2
2 and 3
Answer: A
Question: 1^x + 1^-x = 2 What is the value of x?
Choices:
-1/2
0
1/2
1
Answer: D
Question: In a class,7 students like to play Basketball and 8 like to play Cricket. 5 students like to play on both Basketball and Cricket. How many students like to play Basketball or Cricket or both?
Choices:
10
16
18
22
Answer: A
Question: If the wheel is 9 cm then the number of revolutions to cover a distance of 1056 cm is?
Choices:
26
14
18.7
91
Answer: C
Question: When positive integer n is divided by 3, the remainder is 2. When n is divided by 6, the remainder is 5. How many values less than 100 can n take?
Choices:
2
3
4
5
Answer: C
Question: A theater charges $12 for seats in the orchestra and $8 for seats in the balcony. On a certain night, a total of 340 tickets were sold for a total cost of $3,320. How many more tickets were sold that night for seats in the balcony than for seats in the orchestra?
Choices:
40
120
130
220
Answer: A
Question: The wages earned by Robin is 40% more than that earned by Erica. The wages earned by Charles is 60% more than that earned by Erica. How much percent is the wages earned by Charles more than that earned by Robin?
Choices:
14%
30%
50%
100%
Answer: A
Question: In how many different number of ways 4 men and 2 women can sit on a shopa which can accommodate persons?
Choices:
B)170
C)190
D)30
E)230
Answer: C
Question: Divide Rs.32000 in the ratio 3:9?
Choices:
12000, 200098
12000, 20007
12000, 20006
8000, 24000
Answer: D
Question: From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done
Choices:
556
656
756
None of these
Answer: C
Question: Dhoni spends $300 buying his favorite dolls. If he buys only small Monkey dolls, which are $2 cheaper than the large Monkey dolls, he could buy 25 more dolls than if he were to buy only large Monkey dolls. How much does a large Monkey doll cost?
Choices:
$6
$7
$8
$9
Answer: A
Question: John and David can finish a job together in 1 hours. If John can do the job by himself in 2 hours, what percent of the job does David do?
Choices:
45%
50%
55%
60%
Answer: B
Question: B as a percentage of A is equal to A as a percentage of (A+B). Find B as a percentage of A.
Choices:
62%
41%
71%
None of these
Answer: A
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 8100 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
Choices:
360 sq.units
367sq.units
178sq.units
176sq.units
Answer: A
Question: At a certain store, the price of a pair of shoes is thirty dollars more than three times the price of a pair of jeans and the price of a sweater is fifty percent more than the price of a pair of shoes. If the price of a pair of jeans is j dollars at this store, then what is the price, in dollars, of a pair of shoes, a sweater and a pair of jeans, in terms of j ?
Choices:
3j + 20
8.5j + 75
5.5j + 30
8.5j + 50
Answer: B
Question: The cost of a one-family home was $ 120,000 in 1980. In 1988, the price had increased to $ 192,000. What was the percent increase in the cost of the home?
Choices:
60%
55%
40%
33.3%
Answer: A
Question: The ratio between the speeds of two trains is 8 : 9. If the second train runs 405 kms in 5 hours, then the speed of the first train is
Choices:
72 km/h
70 km/h
80 km/h
81 km/h
Answer: A
Question: There are 5 competitors in a race (John, mary and 3 other ones) in which there are no ties, what is the probability that mary finish ahead of john?
Choices:
1/3
1/2
2/3
5/6
Answer: B
Question: You hold some gold in a vault as an investment. Over the past year the price of gold increases by 30%. In order to keep your gold in the vault, you must pay 2% of the total value of the gold per year. What percentage has the value of your holdings changed by over the past year.
Choices:
27.4%
27.6%
27.7%
28.4%
Answer: A
Question: George while driving along the highway saw road markers which are at equal distances from each other. He crosses the markers every 20 seconds. If he increases his speed by x meters per second, he crosses the markers at every 15 seconds. But if he increases his speed by y meters per second, he crosses the marker at every 10th second. If y-x = 40 meters per second, then what is the distance between two markers.
Choices:
2788
1200
2778
2211
Answer: B
Question: which of the following inequalities indicates the set of all values of d for which the lengths R of the three sides of a triangle can be 3,4, and d?
Choices:
0<d<5
0<d<7
1<d<5
1<d<7
Answer: D
Question: Ratio between Rahul and Deepak is 4:3, After 6 Years Rahul age will be 26 years. What is Deepak present age.
Choices:
15
20
22
24
Answer: A
Question: The distance between Delhi and Mathura is 110 kms. A starts from Delhi with a speed of 40 kmph at 7 a.m. for Mathura and B starts from Mathura with a speed of 25 kmph at 8 p.m. from Delhi. When will they meet?
Choices:
9.04 a.m.
12.00 a.m.
18.00 a.m.
19.00 a.m.
Answer: A
Question: The difference between the place values of two nines in the numerical 62039295 is
Choices:
891
8910
0
None of them
Answer: B
Question: A boy wants to go abroad by boat and return by flight. He has a choice of 4 different boat to go and 5 flight to return. In how many ways, can the boy perform his journey?
Choices:
20
43
45
80
Answer: A
Question: If p#q denotes the least common multiple of p and q, then P=((12#16)#(18#24)) = ?
Choices:
180
144
108
72
Answer: B
Question: If f=1 and (f-b)/c = 1 which of the following is NOT a possible value of b?
Choices:
-1
0
1
2
Answer: C
Question: In covering a distance of 36 km, A takes 2 hours more than B. If A doubles his speed, then he would take 1 hour less than B. A's speed is:
Choices:
6 km/h
10 km/h
15 km/h
25 km/h
Answer: A
Question: The sum of the first k positive integers is equal to k(k+1)/2. What is the sum of the integers from p to q, inclusive, where 0<p<q?
Choices:
q(q+1)/2 - p(p+1)/2
q(q+1)/2 - (p-1)p/2
(q-1)q/2 - (p+1)(p+2)/2
(q-1)q/2 - p(p+1)/2
Answer: B
Question: What is the next number of the following sequence
3,4,12,48,576,?
Choices:
24600
26600
25000
27648
Answer: D
Question: A sum of Rs. 2900 amounts to Rs. 3422 in 3 years. Had the rate of interest be 1% higher then what would the sum amount in the same time period?
Choices:
Rs. 3509
Rs. 3596
Data inadequate
None of these
Answer: A
Question: Calculate the speed of a boat in still water (in km/hr) if in one hour, the boat goes 13 km/hr downstream and 10 km/hr upstream.
Choices:
9 kmph
4 kmph
8 kmph
6 kmph
Answer: A