antoine-444/aqua_rat_dataset huggingface dataset:
Question: A contractor undertakes to built a walls in 50 days. He employs 20 peoples for the same. However after 25 days he finds that only 40% of the work is complete. How many more man need to be employed to complete the work in time?
Choices:
30
35
30
None of these
Answer: C
Question: Find the area of a rhombus whose side is 25 cm and one of the diagonals is 30 cm?
Choices:
620 sq.cm
200 sq.cm
605 sq.cm
600 sq.cm
Answer: D
Question: Peter wants to get $200,000 for his house. An agent charges 20% of the selling price for selling the house for Peter.What will be the agent's commission?
Choices:
$35,000
$60,000
$80,000
$50,000
Answer: D
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are drawn at random, what is the probability that at least one is green?
Choices:
23/35
23/18
53/18
23/22
Answer: A
Question: A certain university will select 1 of 5 candidates eligible to fill a position in the mathematics department and 2 of 10 candidates eligible to fill 2 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions?
Choices:
70
140
165
225
Answer: D
Question: If p and q are positive integers and q ≠ 1, then pq(q −2) is
Choices:
pq^2+2pq
pq^2-2pq
pq^2+pq
pq^2-6pq
Answer: B
Question: As a treat for her two children, a mother runs to the freezer in which she has three cherry ice pops, three orange ice pops, and five lemon ice pops. She chooses two at random to bring outside to the children, but realizes as she runs out the door that she cannot bring them different flavors without one being jealous of the other and getting even more upset. What is the probability that she has to return to the freezer to make sure that they each receive the same flavor?
Choices:
9/22
19/33
29/44
39/55
Answer: D
Question: If a point (x,y) is randomly selected within the square shown in the figure above, (the vertices are on 1,1 1,-1, -1,1 -1,-1) what are
the W odds that x^2+y^2>1?
Choices:
2. W=pi/16
3. W=1-pi/4
4. W=1-pi/16
5.4-pi
Answer: B
Question: It takes 60 identical printing machines 2 hours to print 200,000 cards. How long would it take 50 of these machines to print the same total?
Choices:
2 hr 36 min
2 hr 30 min
2 hr 25 min
2 hr
Answer: A
Question: A, B and C invests Rs.2000, Rs.3000 and Rs.4000 in a business. After one year A removed his money; B and C continued the business for one more year. If the net profit after 2 years be Rs.3200, then A's share in the profit is?
Choices:
266
299
400
827
Answer: C
Question: A participated in cycling contest and he drove the lap at the rate of 6kmph, 12kmph, 18kmph, 24kmph..What is his average speed?
Choices:
18kmph
14.25 kmph
11.52 kmph
16kmph
Answer: C
Question: There are some sweets in party, 1/3rd eaten by kids . Then 2/5th of the remaining by men , then 2/3rd of the remaining by women . At last 2 were remaining . How many sweets were in total ?
Choices:
27
15
26
91
Answer: B
Question: 11 friends went to a hotel and decided to pay the bill amount equally. But 10 of them could pay Rs. 60 each as a result 11th has to pay Rs. 50 extra than his share. Find the amount paid by him.
Choices:
111
115
123
None
Answer: B
Question: The average of 1st 3 of 4 numbers is 6 and of the last 3 are 5. If the sum of the first and the last number is 17. What is the last numbers?
Choices:
5
6
7
8
Answer: C
Question: complete the numerical series with the correct number
6+3+2=181227
7+2+4=142840
8+6+3=482466
9+4+5=364567
6+5+5= ?
Choices:
303055
454585
454386
444586
Answer: A
Question: a television have side 6*5.its screen size is 5*4.calculate the percentage of unscreened part t.v.
Choices:
25
33.33
44.44
28
Answer: B
Question: 28 machines can do a work in 10days. How many machines are needed to complete the work in 40days?
Choices:
6
4
7
5
Answer: C
Question: Solve the equation :
(2x - 1)3 + 2x(2x - 3).(3 - 2x) – (3x - 1)2 = 3x2 - 2
Choices:
0
2
3
4
Answer: A
Question: A man can row downstream at 18 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively?
Choices:
5
7
4
3
Answer: C
Question: In a 2000 m race, A beats B by 100 meters or 20 seconds. Find the speed of B?
Choices:
2m/s
5m/s
7m/s
3m/s
Answer: B
Question: A is twice as good as B. And together they finish a piece of work in 20days. In how many days will A alone finish the work
Choices:
30
12
10
32
Answer: A
Question: Will decides to attend a basketball game with four friends.
If the party of five sits together in five consecutive seats, and Will must NOT sit in between two of his friends, how many ways
can the five friends be arranged?
Choices:
36
48
72
120
Answer: B
Question: In how many ways can the letters of the word SUBMITTED be arranged?
Choices:
181000
181450
181220
181440
Answer: D
Question: s(n) is a n-digit number formed by attaching the first n perfect squares, in order, into one integer. For example, s(1) = 1, s(2) = 14, s(3) = 149, s(4) = 14916, s(5) = 1491625, etc. How many digits are in s(99)?
Choices:
353
354
356
357
Answer: A
Question: In the sequence 1, 2, 4, 8, 16, 32, …, each term after the first is twice the previous term. What is the sum of the 15th, 17th, and 18th terms in the sequence?
Choices:
3(2^17)
7(2^16)
13(2^14)
7(2^15)
Answer: C
Question: The speed of a boat in still water in 42 km/hr and the rate of current is 3 km/hr. The distance travelled downstream in 44 minutes is:
Choices:
46.6 km
33 km
35.6 km
26.6 km
Answer: B
Question: If (-3)^(2x) = 3^(12 - x) and x is an integer, what is the value of x ?
Choices:
4
3
2
1
Answer: A
Question: In an election between two candidates first candidate got 70% of votes polled and second Candidate got 270 votes. The total number of votes polled was?
Choices:
750 votes
800 votes
900 votes
1000 votes
Answer: C
Question: In a business, A and C invested amounts in the ratio 2 : 1 , whereas the ratio between amounts invested by A and B was 3 : 2 . If Rs 157300 was their profit, how much amount did B receive?
Choices:
Rs. 48200
Rs. 48400
Rs. 48600
None
Answer: B
Question: Right triangle ABC is to be drawn in the xy-plane so that the right angle is at A and AB is parallel to the y-axis. If the x- and y-coordinates of A, B, and C are to be integers that are consistent with the inequalities -7 ≤ x ≤ 1 and 4 ≤ y ≤ 9 , then how many different triangles can be drawn that will meet these conditions?
Choices:
432
2,160
3024
148,824
Answer: C
Question: How many pairs (n, n+1) have one or more prime factors common, where n is an integer and 2 ≤ n ≤9 ?
Choices:
0
2
3
4
Answer: A
Question: If (x+3)^2/(3x+5)=2, then the difference between the two possible values of x is:
Choices:
2
6
8
10
Answer: A
Question: If cost of 18 eggs be 75 rupees, then find out the cost of 5 dozen eggs.
Choices:
400
500
252
700
Answer: C
Question: The sum of two numbers is 64, and one of them is 12 more than the other. What are the two numbers?
Choices:
26-38
60-24
42-42
21-63
Answer: A
Question: The average of 6 numbers is 6.8. If one of the numbers is multiplied by a factor of 3, the average of the numbers increases to 9.2. What number is multiplied by 3?
Choices:
8.0
7.2
5.0
4.0
Answer: B
Question: In a rectangular coordinate system, if a line passes through the points (-13,-18), (17,22) and (x,2) then what is the value of x?
Choices:
2
3
4
5
Answer: A
Question: If the volume of two cubes are in the ratio 27:1, the ratio of their edges is:
Choices:
3:1
3:5
3:7
3:4
Answer: A
Question: Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
Choices:
25200
25000
26000
26100
Answer: A
Question: If ab + c = a(b + c), which of the following must be true?
Choices:
x = 1 and y = 1
y = 1 and z = 0
x = 1 or y = 0
a = 1 or c = 0
Answer: D
Question: A jeep takes 6 hours to cover a distance of 540 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
Choices:
52 Kmph
6o Kmph
63 Kmph
65 Kmph
Answer: B
Question: A man can row with a speed of 15 kmph in still water. If the stream flows at 15 kmph, then the speed in downstream is?
Choices:
30
20
99
2
Answer: A
Question: X can do a piece of work in 40days. He works at it for 8 days and then Y finished it in 24 days. How long will Y take to complete the work?
Choices:
30
15
18
20
Answer: A
Question: On the number line, if x is halfway between -4 and 4, and if y is halfway between -2 and 6, what number is halfway between x and y?
Choices:
-1/2
0
1/2
1
Answer: D
Question: Mary's income is 60 percent more than Tim's income, and Tim's income is 50 percent less than Juan's income. What percent of Juan's income is Mary's income?
Choices:
120%
96%
80%
64%
Answer: C
Question: A software programmer does 20% of the work in 80% of the time, and 80% of the work in the remaining 30% of the time. If the code he writes is X lines long and he was given one month (30 days) to accomplish the task, then, assuming that the programmer works at a constant rate in each of the two stages, How many lines of code were written in the last two weeks, in terms of X?
Choices:
15x/15
7x/15
2x/30
13x/30
Answer: D
Question: How many cubes of 50 cm edge can be put in a cubical box of 1 m edge.
Choices:
10 cm
8 cm
6 cm
7 cm
Answer: B
Question: A shopkeeper sells his goods at cost price but uses a faulty meter that weighs 800 grams. Find the profit percent.
Choices:
15
25
18
19
Answer: B
Question: Four-ninths of a drink mix is dye and the rest is sugar. When the mix is added to water a gallon of drink is made that is 5% sugar. What percentage of the gallon is dye?
Choices:
4
7.5
8
24
Answer: A
Question: If W is the set of all the integers between 19 and 99, inclusive, that are either multiples of 3 or multiples of 2 or multiples of both, then W contains how many numbers?
Choices:
32
33
34
54
Answer: D
Question: 3.5 can be expressed in terms of percentage as?
Choices:
3.5%
35%
350%
450%
Answer: C
Question: The average of 11 results is 45, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
Choices:
B)111
C)66
D)76
E)74
Answer: A
Question: The water from one outlet, flowing at a constant rate, can fill a swimming pool in 7 hours. The water from a second outlet, flowing at a constant rate, can fill the same pool in 4 hours. If both outlets are used at the same time, approximately what is the number of hours required to fill the pool?
Choices:
0.31
2.54
3.21
4.56
Answer: B
Question: The total number of digits used in numbering the pages of a book having 369 pages is
Choices:
990
999
1305
1405
Answer: B
Question: A committee of two people is to be chosen from three married couples. What is the number of different committees that can be chosen if two people who are married to each other cannot both serve on the committee?
Choices:
8
12
16
32
Answer: B
Question: There ia truck which should reach some place at 11'o clock , if it travels with 30 mph it reaches i hour before, if it travles with 20 mph it reaches 1 hour late. what is the distance it must be travlled and what is the speed it must maintain to rech at exact time?
Choices:
24 kmph
26 kmph
28 kmph
20 kmph
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. 5b > 5c
III.a + b + c > a^3
Choices:
I only
III only
II and III
I, II, and III
Answer: A
Question: Mohit sold an article for $27000. Had he offered a discount of 10% on the selling price, he would have earned a profit of 8%. What is the cost price of the article?
Choices:
22500
15000
18000
17000
Answer: A
Question: In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 42, the dividend is?
Choices:
4452
4330
4334
4336
Answer: A
Question: If a positive integer n is divisible by both 2 and 3, then n must also be divisible by which of the following?
I. 6
II. 5
III. 18
Choices:
I only
II only
I and II
II and III
Answer: A
Question: Three partners A,B,C starts a business. Twice A's capital is equal to thrice B's capital and B's capital is four times C's capital. Out of a total profit of Rs.16,500 at the end of the year, B's share is
Choices:
Rs.6000
Rs.7500
Rs.6600
None
Answer: A
Question: A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
Choices:
1.9
1.2
1.5
1.6
Answer: C
Question: If m : n = 3 : 4 and n : o = 8 : 9, then m : o is :
Choices:
3 :2
2 : 3
1 : 2
None of these
Answer: B
Question: If in a kindergarten class, there are five children 3 feet 4 inches tall (indicated by notation 3'4"), two children 4'3" tall and thirteen children 2'6" tall, which of the following is the median height of the children?
Choices:
2'6"
3'3"
3'4"
4'3
Answer: A
Question: If you are given $2, and the amount doubles every day, how much money will you have after 10 days?
Choices:
$512
$1024
$2048
$4096
Answer: B
Question: The sum of number of boys and girls in a school is 900. If the number of boys is x, then the number of girls becomes x% of the total number of students. The number of boys is?
Choices:
40
60
90
70
Answer: C
Question: Two trains, one from P to Q and the other from Q to P, start simultaneously. After they meet, the trains reach their destinations after 49 hours and 16 hours respectively. The ratio of their speeds is
Choices:
4:2
4:5
4:3
4:7
Answer: D
Question: If an article with marked price of $4000 is sold at successive discount of 10%,25% and 15%,what is the price the customer has to pay?
Choices:
3080
2280
2760
2900
Answer: B
Question: If 4 (A's capital) = 6 (B's capital) = 10 (C's capital), then out of a profit of Rs. 682, C will receive
Choices:
381
132
287
271
Answer: B
Question: In a company, 58% of all its employees earn lesser than $50,000; 66% earn more than $40,000; 17% earn $45,000; 3% earn $48,000.
What is the median salary
Choices:
43,000
44,000
45,000
46,000
Answer: C
Question: There are 6 working days in a regular week and for each day, the working hours are 10. A man earns Rs. 2.10 per hour for regular work and Rs. 4.20 per hour for overtime. If he earns Rs.525 in 4 weeks, how many hours did he work?
Choices:
245
275
255
265
Answer: A
Question: Two brothers took the GMAT exam, the higher score is A and the lower one is B. If the difference between the two scores is equal to their average, what is the value of B/A ?
Choices:
2
1/2
1/3
There isn't enough data to answer the question.
Answer: C
Question: There are three categories of jobs A, B and C. The average salary of the student who got the job of A and B categories is 26 lakh per annum. The average salary of the students who got the job of B and C category is 44 lakh per annum and the average salary of those students who got the job of A and C categories is 34 lakh per annum. The most appropriate (or closet) range of average salary of all the three categories (if it is known that each student gets only one category of jobs i.e. , A, B and C):
Choices:
lies between 30 and 44
lies between 34 and 44
lies between 27 and 44
None of these
Answer: A
Question: The perimeter of one square is 48 cm and that of another is 20 cm. Find the perimeter and the diagonal of a square which is equal in area to these two combined?
Choices:
13√2
13√0
53√2
13√1
Answer: A
Question: Two numbers are respectively 19% and 40% more than a third number. The percentage that is first of the second is?
Choices:
15%
25%
30%
35%
Answer: A
Question: The average (arithmetic mean) of 10, 30, and 50 is 8 more than the average of 20, 40, and x. What is x?
Choices:
4
6
8
10
Answer: B
Question: A sum of Rs.1400 is divided into 13 students so that each boy gets Rs.120 while each girl gets Rs.100. Find the number of boys and number of girls
Choices:
5B, 8G
4B, 9G
9B, 4G
9B, 5G
Answer: A
Question: What approximate value will come in place of the question mark (?) in the following equation?
√625.04×16.96+136.001÷17=?
Choices:
441
425
433
449
Answer: C
Question: Seats for Maths, Physics and Biology are in the ratio of 8 : 7 : 8 respectively. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the respective ratio of increased seats?
Choices:
16 : 15 : 20
16 : 8 : 9
Cannot be determined
None of these
Answer: A
Question: A boat can move upstream at 25 kmph and downstream at 37 kmph, then the speed of the current is?
Choices:
7 kmph
8 kmph
6 kmph
4 kmph
Answer: C
Question: A sun is divided among X, Y and Z in such a way that for each rupee X gets, Y gets 45 paisa and Z gets 30 paisa. If the share of Y is RS. 27, what is the total amount?
Choices:
105
288
277
299
Answer: A
Question: A certain store sells only black shoes and brown shoes. In a certain week, the store sold x black shoes and y brown shoes. If 2/9 of all shoes sold that week were black, which of the following expressions represents the value of y, in terms of x?
Choices:
7x/2
2x/3
3x/2
2x
Answer: A
Question: If in a $210 mln portfolio of stock, twice as much is invested in stock A as is invested in all the other stocks, how much is invested in all the other stocks?
Choices:
70mln
50mln
40mln
30mln
Answer: A
Question: If 55^4*11^6*16^3 = x, what is the units digit of x ?
Choices:
6
0
1
5
Answer: B
Question: For how many integers n is 1^n+1 = (n+1)^1?
Choices:
0
2
3
None of these
Answer: A
Question: If x^2 − 2x − 15 = (x + r)( x + s) for all values of x, and if r and s are constants, then which of the following is a possible value of( r − s)/2?
Choices:
2
− 2
− 4
− 5
Answer: C
Question: A student is ranked 12th from right and 6th from left. How many students are there in totality ?
Choices:
19
20
21
22
Answer: A
Question: If all the fractions 3/10, 1/16, 4/11, 2/9, 1/7, 5/14 and 5/24 arranged in descending order of their values, then which one will be the third?
Choices:
3/15
3/10
3/14
2/10
Answer: B
Question: A train speeds past a pole in 10seconds and a platform 50 m long in 20 seconds. Its length is:
Choices:
40 m.
60 m.
50 m.
70 m.
Answer: C
Question: If A^2 + B^2 = 25 and AB = 10, what is the value of the expression (A - B)^2 + (A + B)^2?
Choices:
20
30
50
70
Answer: C
Question: The price of a car is marked at $12,000. If the car has successive discounts of 20%, 15% and 5%, then at what price does a customer buy the car?
Choices:
$7752
$7880
$8196
$8324
Answer: A
Question: If a^2=b^2 and b^2=1 ,then what will be the value of a^2+b^2?
Choices:
1
2
3
4
Answer: B
Question: a,b,c,d,e,f,g,h sitting in a row what is the probability that a,b,d are sitting together?
Choices:
3/28
1/7
1/14
5/28
Answer: A
Question: A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Choices:
587m
350m
686m
986m
Answer: B
Question: If the wheel is 14 cm then the number of revolutions to cover a distance of 2288 cm is?
Choices:
26
17
12
88
Answer: A
Question: In the storage room of a certain bakery, the ratio of sugar to flour is 3 to 8, and the ratio of flour to baking soda is 10 to 1. If there were 60 more pounds of baking soda in the room, the ratio of flour to baking soda would be 8 to 1. How many pounds of sugar are stored in the room?
Choices:
900
1500
1600
1750
Answer: A
Question: How much more would Rs.10000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?
Choices:
241
992
837
923
Answer: A
Question: A four-sided shape has angles with ratio 1:2:3:4. What is the measurement of one of its angles?
Choices:
70Â°
112Â°
144Â°
168Â°
Answer: C
Question: Find the odd man out. 18, 16, 12, 24, 12, 34, 15
Choices:
46
15
11
18
Answer: B
Question: The size of a television screen is given as the length of the screen's diagonal. If the screens were flat, then the area of a square 22-inch screen would be how many square inches greater than the area of a square 20-inch screen?
Choices:
4
16
42
40
Answer: C
Question: Which of the following is not the square of an integer?
Choices:
640828
227529
690561
748225
Answer: A
Question: Six people are on an elevator that stops at exactly 6 floors. What is the probability that exactly one person will push the button for each floor?
Choices:
6!/6^6
6/6!
6/6^6
1/6^6
Answer: A
Question: What are the last two digits of 63*35*37*82*71?
Choices:
30
40
70
80
Answer: B
Question: A train moves fast a telegraph post and a bridge 264 m long in 2 sec and 20 sec respectively. What is the speed of the train?
Choices:
23
52.8
79.2
67
Answer: B
Question: In Town X, 72 percent of the population are employed, and 36 percent of the population are employed males. What percent of the employed people in Town X are females?
Choices:
25%
32%
40%
50%
Answer: D
Question: If x > 0, x/40 + x/20 is what percent of x?
Choices:
25%
37 1/2%
60%
75 %
Answer: D
Question: An electric pump can fill a tank in 6 hours. Because of a leak in the tank, it took 12hours to fill the tank. If the tank is full, how much time will the leak take to empty it?
Choices:
12hours
8hours
5hours
15hours
Answer: A
Question: During the months May through October, Teddy the bear quadruples his weight, and during the months November through April, Teddy loses 100 pounds. If at the beginning of November 1973, Teddy's weight was m pounds, what was Teddy's weight in pounds by the end of April 1976?
Choices:
16m - 1300
4m - 1300
4m - 1200
4m
Answer: A
Question: Six boys picked up 30 mangoes .In how many ways can they divide them if all mangoes be identical?
Choices:
B)2^30
C)1^30
D)3^30
E)6^30
Answer: D
Question: What least number should be subtracted from 13604 such that the remainder is divisible by 87 ?
Choices:
32
28
30
31
Answer: A
Question: A can do a particular work in 6 days . B can do the same work in 8 days. A and B signed to do it for Rs. 3360. They completed the work in 3 days with the help of C. How much is to be paid to C?
Choices:
s. 600
s. 420
s. 400
s. 480
Answer: B
Question: Rs. 5200 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:
1500
1200
600
100
Answer: B
Question: A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
Choices:
2 (1/5) km/h
2 (3/2) km/h
2 (1/2) km/h
2 (1/1) km/h
Answer: C
Question: On Monday morning, Chris receives tickets to a baseball game that will be played at 7pm on the next evening that it does not rain. However, Chris is only in town until Wednesday morning, at which point he must fly to another city. If there is a 60% chance of rain each of the next two evenings, what is the probability that Chris will be able to attend the game?
Choices:
60%
64%
80%
84%
Answer: B
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
Choices:
278 m
876 m
150 m
267 m
Answer: C
Question: In an election between two candidates first candidate got 60% of votes polled and second Candidate got 290 votes. The total number of votes polled was?
Choices:
votes
votes
votes
votes
Answer: A
Question: The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 280 sq cm. Find the area of the square?
Choices:
268
260
480
Cannot be determined
Answer: D
Question: What is the next number of the following sequence
2,2,12,12,30,30,_?
Choices:
55
56
57
58
Answer: B
Question: The smallest number which when diminished by 12, is divisible 12, 24, 36, 48 and 56 is:
Choices:
1015
1020
1032
1048
Answer: B
Question: A k-almost prime number is defined as a positive integer with exactly k prime factors that are not necessarily distinct. The third smallest 4-almost prime number, less the fourth smallest 3-almost prime number is
Choices:
8
16
24
28
Answer: B
Question: If the line L passes through the point (3,n) and (n,3), where n is not equal to 3, which of the following must be true?
1. Line L must passes through the first quadrant
2. Line L does pass the origin
3..The slope of L is negative
Choices:
II only
III only
I and II
II and III
Answer: B
Question: 2: 5 = 4/3: x. The value of x is?
Choices:
10/3
3
4
5
Answer: A
Question: A fruit seller had some oranges. He sells 40% oranges and still has 420 oranges. How many oranges he had originally?
Choices:
700
220
400
None of these
Answer: A
Question: A man purchased 3 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.140. Find the unknown rate of two blankets?
Choices:
350
490
450
457
Answer: A
Question: 10 years ago, the average age of a family of 4 members was 24 years. Two children having been born (with age diference of 2 years), the present average age of the family is the same. The present age of the youngest child is ?
Choices:
7
3 years
9
2
Answer: B
Question: The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:
Choices:
153600
30720
307200
308765
Answer: A
Question: If the circus were to sell all of its 220 tickets for this month's performance at its usual price, the revenue from sales would be 10% greater than that collected last month. If the circus raised the ticket price by 8% and sold only 200 tickets as a result, what percent less would last month's revenue be compared to this month's revenue?
Choices:
5
200/27
110/20
9/4
Answer: B
Question: A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train?
Choices:
150 m
187 m
167 m
187 m
Answer: A
Question: How many integers between 1 and 10^18 are such that the sum of their digits is 2?
Choices:
171
181
191
201
Answer: A
Question: A cylindrical water filter is filled with water at a rate of 11 cubic meters per hour, the level of water in the filter rises at a rate of 0.4 meters per hour. Which of the following best approximates the radius of the filter in meters?
Choices:
√10
4.183
5
10
Answer: B
Question: A train 132 m long passes a telegraph pole in 6 seconds. Find the speed of the train
Choices:
72 km/hr
79.2 kilometre per hour
80 km/hr
None
Answer: B
Question: Company X provides bottled water to its employees in 1 liter bottles, $2 each. At least how many 1L bottles must Company X buy monthly, so that new contract with $50 fixed monthly rate and $1 for 10L bottle each paid off? (Assume that no other costs apply)
Choices:
29
30
31
27
Answer: D
Question: Harkamal purchased 8kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 60 per kg. How much amount did he pay to the shopkeeper?
Choices:
B)1075
C)1065
D)1070
E)1100
Answer: D
Question: The units digit in the product 274 x 318 x 577 x 313 is
Choices:
2
4
5
6
Answer: A
Question: For a journey the cost of a child ticket is 1/3rd of the cost of an adult ticket. If the cost of the ticket for 4 adults and 5 children is Rs. 85, what is the cost of a child ticket?
Choices:
4
5
6
7
Answer: B
Question: This year, MBB Consulting fired 5% of its employees and left remaining employee salaries unchanged. Sally, a first-year post-MBA consultant, noticed that that the average (arithmetic mean) of employee salaries at MBB was 10% more after the employee headcount reduction than before. The total salary pool allocated to employees after headcount reduction is what percent of that before the headcount reduction?
Choices:
100.0%
102.8%
104.5%
105.0%
Answer: B
Question: A farmer divided certain number of acres of land among 3 sons and 1 daughter in such a way that 1/3rd of the total land was given to elder son, 1/2 of the remaining was given to second son, 1/3rd of the remaining was given to his younger son, and the remaining to his daughter. As a result, the younger son and daughter received equal number of acres. Find the total number of acres divided, if daughter gets 12 acres land.
Choices:
72
120
84
62
Answer: A
Question: Margaret is 8 years more than twice the age of his son. The age of son is 12. Find the age of mother and find the difference between their ages
Choices:
20yrs
30yrs
40yrs
50yrs
Answer: A
Question: How many of the positive factors of 24 are not factors of 25
Choices:
3
4
1
5
Answer: C
Question: If 2x + y + 3z = 10 ,-3x - 2y + 7z = 5 ,3x + 3y - 4z = 7 , what is the value of x ?
Choices:
6
4
7
8
Answer: B
Question: If 0.4 of a number is equal to 0.06 of another number, the ratio of the numbers is :
Choices:
3 :4
3:20
20 : 3
30:7
Answer: B
Question: A glucose solution contains 10 grams of glucose per 100 cubic centimeters of solution. If 45 cubic centimeters of the solution were poured into an empty container, how many grams of glucose would be in the container?
Choices:
5.00
4.50
5.50
6.75
Answer: B
Question: Tom has travelling to 7 cities. Gasoline prices varied from city to city. What is the median gasoline price?
Choices:
$1.84
$1.98
$2.34
$2.56
Answer: A
Question: r=3^(n+3), then in terms of r, 9^n=
Choices:
r^3/729
r^2
r/3
r
Answer: A
Question: In a certain game, each player scores either 2 points or 5 points. If n players score 2 points and m players score 5 points, and the total number of points scored is 50, what is the least possible positive T difference between n and m?
Choices:
3
5
7
9
Answer: A
Question: Kamal started a business with Rs.25000 and after 4 months, Kiran joined him with Rs.60000. Kamal received Rs.58000 including 10% of profit as commission for managing the business. What amount did Kiran receive?
Choices:
70000
72000
78000
76000
Answer: B
Question: Nathan took out a student loan for 1200$ at 10 percent annual interest, compounded annually. If he did not repay any of the loan or interest during the first 3 years, which of the following is the closest to the amount of interest he owed for the 3 years.
Choices:
390
400
410
420
Answer: B
Question: Two pipes A and B can fill a cistern in 8 and 12 minutes respectively, and a third pipe C can empty it in 16 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
Choices:
5 1/8 min
6 1/7 min
6 6/7 min
17 3/7 min
Answer: C
Question: Henrikh lives x blocks from his office. It takes him 1 minute per block to walk to
work and 20 seconds per block to ride his bicycle to work. If it takes him exactly
7 minutes more to walk to work than to ride his bicycle, then x equals
Choices:
7
10.5
15
20
Answer: B
Question: A(n+1)=1+(1/A(n)) and A(1)=1. What is the value of A(6)?
Choices:
3/2
5/3
8/5
13/8
Answer: D
Question: 100 is what percent of 40?
.
Choices:
250%
5%
20%
500%
Answer: A
Question: a is an integer greater than 49 but less than 61, b is an integer greater than 59 but less than 71, what is the range of a/b?
Choices:
2/7
3/4
1
5/4
Answer: A
Question: During the first week of performances of a certain play, 5,400 tickets were sold, all at reduced price. During the remaining weeks of performances, 5 times as many tickets were sold at full price as were sold at reduced price. If the total number of tickets sold was 25,200, how many of them were sold at full price?
Choices:
19,800
16,500
15,800
8,700
Answer: B
Question: x, y, a, and b are positive integers. When x is divided by y, the remainder is 6. When a is divided by b, the remainder is 9. Which of the following is NOT a possible value for y + b?
Choices:
21
20
17
15
Answer: D
Question: 17 times a positive integer is more than its square by 60, then the positive integer is
Choices:
10
11
5
14
Answer: C
Question: Peter and Tom shared the driving on a certain trip. If Peter and Tom both drove for the same amount of time, but Peter only drove 2/5 of the total distance, what was the ratio of Tom's average speed to Peter's average speed?
Choices:
2:5
1:2
3:2
2:3
Answer: C
Question: Mixture A is 30 percent alcohol, and mixture B is 60 percent alcohol. If the two are poured together to create a 4-gallon mixture that contains 40 percent alcohol, approximately how many gallons of mixture A are in the mixture?
Choices:
0.7
0.6
0.5
0.4
Answer: C
Question: The product of Tom's age in years, and half of Jerry's age in years, is 54. If Jerry is 3 years younger than Tom is, Jerry is how many years old?
Choices:
8
9
10
12
Answer: B
Question: A case contains c cartons. Each carton contains b boxes, and each box contains 500 paper clips. How many paper clips are contained in 2 cases?
Choices:
500b/c
1000bc
1000b/c
1000/bc
Answer: B
Question: Chandigarh express of 100 m runs at a speed of 60 km/hr. What will be the time taken to cross a platform of 150 meters long?
Choices:
12.50 sec
15.00 sec
15.23 sec
5.23 sec
Answer: B
Question: In a dairy farm, 45 cows eat 45 bags of husk in 45 days. In how many days one cow will eat one bag of husk ?
Choices:
45 days
46 days
50 days
None of these
Answer: A
Question: When p is divided by 9, the remainder is 4. All of the following are possible values of p, except for which of the following?
Choices:
31
49
57
67
Answer: C
Question: The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 190 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
99
77
55
65
Answer: D
Question: There are two lines in the neighbourhood supermarket. In the first line there are 2 people, one with 10 items in her cart and the other with 14 items. In the second line there are 3 people, one with 11 items, one with 12 items and one with 13 items. What is the probability of randomly picking 2 people (it doesn't matter from which line), whose combined number of items is 23?
Choices:
1/5
2/5
6/25
16/25
Answer: A
Question: What is the greatest integer that will always evenly divide the sum of two consecutive even integers?
Choices:
2
4
6
12
Answer: A
Question: What will be the compound interest on a sum of Rs.25,000 after 3 years at the rate of 12 p.c.p.a?
Choices:
Rs. 9720
Rs. 10123.20
Rs. 10483.20
None
Answer: B
Question: One bacterium splits into eight bacteria of the next generation. But due to environment, only 50% of one generation can produced the next generation. If the seventh generation number is 4096 million, what is the number in first generation?
Choices:
1 million
4 million
8 million
None of these
Answer: A
Question: add 16% of 36 and 13% of 45.
Choices:
8.5
7.2
7
8
Answer: B
Question: Brenda and Sally run in opposite direction on a circular track, starting at diametrically opposite points. They first meet after Brenda has run 100 meters. They next meet after Sally has run 200 meters past their first meeting point. Each girl runs at a constant speed. What is the length of the track in meters?
Choices:
300
350
400
500
Answer: C
Question: In an election between two candidates first candidate got 60% of votes polled and second Candidate got 280 votes. The total number of votes polled was?
Choices:
700 votes
900 votes
980 votes
990 votes
Answer: A
Question: A boatman can row 3 km against the stream in 20 minutes and return in 12 minutes. Find the rate of current ?
Choices:
8/2 kmph
5/2 kmph
1/2 kmph
3 kmph
Answer: D
Question: How many 3 digit positive integers with distinct digits are there, which are not multiples of 10?
Choices:
576
504
432
348
Answer: A
Question: Find the value of 72519 x 9999 = m?
Choices:
464687665
643432672
725117481
790023245
Answer: C
Question: The average (arithmetic mean) of 16 students first quiz scores in a difficult English class is 62.5. When one student dropped the class, the average of the remaining scores increased to 63.0. What is the quiz score of the student who dropped the class?
Choices:
b) 25
c) 40
d) 55
e) 70
Answer: C
Question: Jones invested a certain sum of money in a simple interest bond whose value grew to $500 at the end of 3 years and to $ 800 at the end of another 4 years. What was the rate of interest in which he invested his sum?
Choices:
12.5%
16.67%
16.25%
18.18%
Answer: D
Question: A and B put in Rs.300 and Rs.400 respectively into a business. A reinvests into the business his share of the first year's profit of Rs.238 where as B does not. In what ratio should they divide the second year's profit?
Choices:
201:200
210:201
100:99
113:77
Answer: A
Question: The apartment on King-Williams street is an asset that its value is tramping about. From the year 1973 to 1983 it's value decreased by 16% and from 1983 to 1993 it's value increased by 16%. What is the value of the asset in 1993 if in 1973 it was worth $40,000?
Choices:
$40,000
$38,976.
$39,679
$36,796.
Answer: B
Question: In an election between two candidates - Lange and Sobel - 70% of the voters voted for Sobel. Of the election`s voters, 60% were male. If 35% of the female voters voted for Lange, what percentage of the male voters voted for Sobel?
Choices:
16
26
44
65
Answer: C
Question: A rectangular lawn 55m by 35m has two roads each 4m wide running in the middle of it. One parallel to the length and the other parallel to breadth. The cost of graveling the roads at 75 paise per sq meter is?
Choices:
rs.252
rs.258
rs.251
rs.252
Answer: B
Question: What is the probability that, when three twelve-sided dice are rolled, at least one 1 is rolled?
Choices:
3/144
1331/1728
23/144
397/1728
Answer: D
Question: A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 5 m, the volume of the box (in m3) is:
Choices:
4940
6420
8960
7960
Answer: A
Question: Find the odd man out. 1, 4, 9, 17, 25, 36, 49
Choices:
9
17
49
36
Answer: B
Question: A train , having a length of 220 meter is running at a speed of 60 kmph. In what time, it will pass a man who is running at 6 kmph in the direction opposite to that of the train
Choices:
12 sec
6 sec
4 sec
2 sec
Answer: A
Question: In a box, there are 6 red, 2 blue and 3 green balls. One ball is picked up randomly. What is the probability that it is neither blue nor green?
Choices:
6/11
3/7
9/22
10/21
Answer: A
Question: On an order of 19 dozen boxes of a consumer product, a retailer receives an extra dozen free. This is equivalent to allowing him a discount of:
Choices:
0.5%
1%
5%
10%
Answer: C
Question: Today Mary’s father is four times as old as Mary. Ten years ago, he was 10 times as old. How old is Mary today?
Choices:
12
13
14
15
Answer: D
Question: Vijay says that his weight is between 75kg and 85 kg. But his younger sister disagrees with Vijay and says that his weight is greater than 70kg but less than 80 kg. Vijay’s mother says that his weight cannot be greater than 78 kg. If all the three predictions are correct, what is the average of different probable weights of Vijay?
Choices:
80
78.5
76.5
None of these
Answer: C
Question: If three sides of the triangle are 8 , 15 and F respectively then the how many values can F ?
Choices:
[B] 7
[C] 8
[D]9
[E] infinite number of values
Answer: C
Question: A cistern is normally filled in 10 hrs,but takes 2 hrs longer to fill because of a leak on its bottom,if Cistern is full ,how much time citern would empty?
Choices:
20 hours
60 hours
40 hours
50 hours
Answer: B
Question: If xy=4, x/y=81, for positive numbers x and y, y=?
Choices:
2
2/9
3
1/6
Answer: B
Question: Ajay bought 15 kg of dal at the rate of Rs 14.50 per kg and 10 kg at the rate of Rs 13 per kg. He mixed the two and sold the mixture at the rate of Rs 15 per kg. What was his total gain in this transaction ?
Choices:
27.52
37.5
27.5
27.51
Answer: C
Question: There are 28 stations between Hyderabad and Bangalore. How many second class tickets have to be printed, so that a passenger can travel from any station to any other station?
Choices:
167
870
352
380
Answer: B
Question: If Q is an odd number and the median of Q consecutive integers is 125, what is the largest of these integers?
Choices:
(Q - 1)/2 + 125
Q/2 + 125
(Q + 119)/2
(Q + 125)/2
Answer: A
Question: The price of 3 tables and 4 chairs is Rs. 3300. With the same money one can buy 2 tables and 10 chairs. If one wants to buy 1 table and 1 chair, how much does he need to pay?
Choices:
1025
1000
1050
1100
Answer: C
Question: Steve bought a total of 6 packages of pens, and each package contained either 3 or 7 pens. If exactly 4 of the packages Steve bought contained 7 pens, how many pens did Steve buy?
Choices:
21
34
42
56
Answer: B
Question: Several litres of acid were drawn offa 54 litre vessel full of acid and an equal amount of water was added. Again the same volume of the mixture was drawn off and replaced by water. As a result, the vessel contained 24 litres of pure acid. How much of the acid was drawn off initially?
Choices:
16 lts
18 lts
24 lts
28 lts
Answer: B
Question: Two pipes A and B can fill a tank in 15 min and 25 min respectively. Both the pipes are opened together but after 4 min, pipe A is turned off. What is the total time required to fill the tank?
Choices:
14 min 42 sec
17 min 20 sec
14 min 40 sec
14 min 10 sec
Answer: B
Question: 2 cow’s and 10 goats are brought for Rs.1500. If the average price of a goat be Rs.70. What is the average price of a cow.
Choices:
400
430
410
450
Answer: A
Question: Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm?
Choices:
287 cm2
285 cm2
276 cm2
297 cm2
Answer: B
Question: The sum of two numbers is 66. Five times one number is equal to 6 times the other. The bigger of the two numbers is
Choices:
12
14
36
60
Answer: C
Question: If the sum of 1st n integers is 55 then what is n?
Choices:
7
8
10
9
Answer: C
Question: How many four digit numbers can be formed using the digits {1, 3, 4, 5, 7,9}(repetition of digits is not allowed)?
Choices:
360
300
180
240
Answer: A
Question: Harold and Millicent are getting married and need to combine their already-full libraries. If Harold, who has 1/2 as many books as Millicent, brings 1/3 of his books to their new home, then Millicent will have enough room to bring 1/2 of her books to their new home. What fraction of Millicent's old library capacity is the new home's library capacity
Choices:
2/3
3/4
4/5
5/6
Answer: D
Question: If loga/b + logb/a = log (a + b), then:
Choices:
a + b = 1
a = b
a2 - b2 = 1
none of these
Answer: A
Question: Which of the following fractions is greater than 1/6?
Choices:
2. 3/11
3. 2/9
4. 4/17
5. 6/24
Answer: D
Question: There are 20 balls in a box: 11 balls are green, 6 are blue and 3 are white. Then 1 green and 1 blue balls are taken from the box and put away. What is the probability that a green ball is selected at random from the box?
Choices:
10/18
3/13
5/13
6/13
Answer: A
Question: Marginal cost is the cost of increasing the quantity produced (or purchased) by one unit. If the fixed cost for n products is $10,000 and the marginal cost is $250, and the total cost is $16,000, what is the value of n?
Choices:
24
60
70
85
Answer: A
Question: In a shop, the cost of 4 shirts, 4 pairs of trousers and 2 hats is $560. The cost of 9 shirts, 9 pairs of trousers and 6 hats is $1,290. What is the total cost of 1 shirt, 1 pair of trousers and 1 hat?
Choices:
$220
$190
$200
$150
Answer: D
Question: A train sets off at 2 p.m. at the speed of 70 kmph. Another train starts at 3:30 p.m. in the same direction at the rate of 85 kmph. At what time the trains will meet?
Choices:
09.30 p.m.
08.30 p.m.
10.30 p.m.
11.30 p.m.
Answer: C
Question: Solution X is 80% chemical A and 20% chemical B by volume. Solution Y is 50% chemical A and 50% chemical B by volume. If a mixture of X and Y is 68% chemical A, what percent of the mixture is Solution X?
Choices:
25%
30%
35%
40%
Answer: D
Question: If x^2=2x+2, then x^3 = ?
Choices:
4x-2
2x+1
2x-3
6x+4
Answer: D
Question: Sakshi can do a piece of work in 20 days .Tanya is 25% more efficient than Sakshi. the number of days taken by tanya to do the same piece of work is?
Choices:
45days
24days
16days
36days
Answer: C
Question: What is the sum of the different positive prime factors of 620?
Choices:
24
38
47
62
Answer: B
Question: A right triangle is inscribed in a circle. The legs of the triangle have lengths 6 and 8. What is the diameter of the circle?
Choices:
8π
9√3
10
12
Answer: C
Question: 1000 men have provisions for 21 days. If 800 more men join them, for how many days will the provisions last now?
Choices:
12.5
12.6
11.6
12.1
Answer: C
Question: (2^2-1)(2^2+1)(2^4+1)(2^12+1)=
Choices:
2^20 - 1
2^32 - 1
2^128 - 1
2^16(2^16-1)
Answer: A
Question: If a certain coin is flipped, the probability that the coin will land heads is 1/2. If the coin is flipped 6 times, what is the probability that it will land heads up on the first 3 flips but not on the last 3 flips?
Choices:
1/16
1/32
1/64
1/128
Answer: C
Question: If a jar contains 25 percent red candies, 10 percent blue candies, and 55 white candies, what fraction of candies are of another color?
Choices:
3/5
3/10
1/5
1/10
Answer: D
Question: Starting with 0, a mathematician labels every non-negative integer as one of five types: alpha, beta, gamma, delta, or epsilon, in that repeating order as the integers increase. For instance, the integer 8 is labeled delta. What is the label on an integer that is the sum of a gamma raised to the seventh power and a delta raised to the seventh power?
Choices:
alpha
gamma
delta
epsilon
Answer: A
Question: Suppose you have three identical prisms with congruent equilateral triangles as the end-polygons. Suppose you attach them by the rectangular faces so they are perfectly aligned. There will be some large faces created by two or more co-planar faces of the individual prisms: count each such large face as one. Given that, how many faces does the resultant solid have
Choices:
4
9
10
12
Answer: A
Question: If a person sells a wooden furniture at 8% profit against 8% loss, then he could had earned Rs12 more. What is the cost price of furniture?
Choices:
70
80
75
None
Answer: C
Question: A person covered one-fourth of the total distance at 26 kmph and remaining distance at 24 kmph. What is the average speed for the total distance?
Choices:
21 (1/3)
21 (7/3)
22 (1/3)
31 (1/3)
Answer: A
Question: Four car rental agencies A, B, C and D rented a plot for parking their cars during the night. A parked 15 cars for 12 days, B parked 12 cars for 20 days, C parked 18 cars for 18 days and D parked 16 cars for 15 days. If A paid Rs. 1395 as rent for parking his cars, what is the total rent paid by all the four agencies?
Choices:
Rs. 4800
Rs. 5250
Rs. 7626
None of these
Answer: C
Question: A person purchased a TV set for Rs. 14000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 31150. What percentage of profit did he make?
Choices:
87.82%
53.82%
17.82%
18.82%
Answer: B
Question: Lilly has 10 fish and Rosy has 12 fish. In total, how many fish do they have in all?
Choices:
20
22
24
26
Answer: B
Question: 33 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
Choices:
11
13
18
19
Answer: A
Question: If x+y=-4, and x=6/y, what is the value of x^2+y^2?
Choices:
15
6
4
5
Answer: C
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
3/3
3/5
5/2
Answer: A
Question: During the last 5 days, John ran 5 miles per day on average. How many miles must he run tomorrow to increase his daily average to 7 miles per day.
Choices:
7
17
30
32
Answer: B
Question: A man buys $50 shares in a company which pays 10% dividend. If the man gerts 12.5% on his investment, at what price did he buy the shares?
Choices:
$40
$50
$48
$52
Answer: A
Question: If m > 1 and n = 2^(m+3), then 4^m =
Choices:
4n^2
8n^2
n^2/64
n^2/16
Answer: C
Question: A party supply store sells noisemakers arranged on display such that each of the three different colors of noisemakers, red, blue, and purple are consecutive in a repeating pattern. If four consecutively displayed noisemakers are purchased, what is the probability that two of the noisemakers are purple?
Choices:
1/9
2/9
1/3
2/7
Answer: C
Question: if A fills a tank in 30mins,and B fills the same tank in 20mins,and C emptys it in 40min ,if A,B,C works together how much time will the tank take to fill?
Choices:
16.14mins
17.14mins
18.14mins
19.14mins
Answer: B
Question: In how many ways can 5 men & 4 women can be made from a gang of 6 men & 6 women ?
Choices:
21
24
27
29
Answer: A
Question: S is the infinite sequence S1 = 2, S2 = 22, S3 = 222,...Sk = Sk–1 + 2(10k–1). If p is the sum of the first 30 terms of S, what is the sixth digit of p, counting right to left from the units digit?
Choices:
2
4
5
9
Answer: C
Question: A train sets off at 2 p.m. at the speed of 80 kmph. Another train starts at 3:30 p.m. in the same direction at the rate of 85 kmph. At what time the trains will meet?
Choices:
3.30 p.m.
3.50 p.m.
9.30 p.m.
8.30 p.m.
Answer: A