antoine-444/aqua_rat_dataset huggingface dataset:
Question: At 9 am a car (A) began a journey from a point, traveling at 40 mph. At 10 am another car (B) started traveling from the same point at 60 mph in the same direction as car (A).
At what time will car B pass car A?
Choices:
12 pm
2 pm
3 pm
4 pm
Answer: A
Question: The balance of a trader weighs 8% less than it should. Still the trader marks up his goods to get an overall profit of 20%. What is the mark up on the cost price?
Choices:
8%
10.4%
16.66%
9%
Answer: B
Question: What are the unit's digits of 369, 6864, 4725 respectively ?
Choices:
8
3
5
0
Answer: B
Question: X and Y are positive two-digit integers such that the tens digit in X is the same as the units digit in Y, and the units digit in X is the same as the tens digit in Y. Which of the following can be the difference of X and Y ?
Choices:
44
33
29
9
Answer: D
Question: A bag contains 3 red, 4 black and 2 white balls. What is the probability of drawing a red and a white ball in two successive draws,each ball being put back after it is drawn?
Choices:
1/9
1/3
4/27
2/9
Answer: C
Question: In Kaya's teacher's desk there are 10 pink highlighters, 15 yellow highlighters, and 8 blue highlighters. How many highlighters are there in all?
Choices:
22
77
33
88
Answer: C
Question: If m is an integer such that (-2)^2m=2^(21-m) then m=?
Choices:
6
7
8
9
Answer: B
Question: In 1995, the Jossy spent $800 on the family’s water bills. Anticipating that water rates would increase in 1996 by 50%, the Jossy cut back their water usage. By how much must the Jossy have reduce their 1996 water usage to pay exactly the same amount in 1996 as they paid in 1995?
Choices:
a)	33 1/3 %
c) 50 %
d)	66 2/3 %
e)	100 %
Answer: A
Question: If 6 years are subtracted from the present age of Arun and the remainder is divided by 18, then the present age of his grandson Gokul is obtained.If Gokul is 2 years younger to Madan whose age is 5 years, then what is the age of Arun?
Choices:
60
84
96
69
Answer: A
Question: Rita bought 105 items from the market, and each item is either glass, cup, or spoon. If she ownsbought 5 more cups than glasses, and twice as many cups as glasses, how many glasses Rita did buy ?
Choices:
25
30
40
50
Answer: A
Question: If f(x) = -2x2 + 8x - 4, which of the follwoing is true?
Choices:
The graph of f opens upward.
The graph of f has no x-intercept
f is not a one to one function.
The maximum value of f(x) is 4.
Answer: C
Question: In an xy-coordinate plane, a line is defined by y = kx + 1. If (3, b), (a, 4), and (a, b+1) are three points on the line, where a and b are unknown, then k = ?
Choices:
1
3/2
2/3
5/2
Answer: C
Question: There are 1400 jelly beans divided between two jars, Jar X and Jar Y. If there are 300 fewer jelly beans in jar X than three times the number of beans in jar Y, how many beans are in jar X?
Choices:
950
975
1000
1025
Answer: B
Question: A, B, C are three consecutive positive integers (A>B>C). What is the value of the expression 2A +B + C?
Choices:
5A+1.
4A-3.
6A-5.
6A-7.
Answer: B
Question: Last year, for every 100 million vehicles that travelled on a certain highway, 90 vehicles were involved in accidents. If 3 billion vehicles travelled on the highway last year, how many of those vehicles were involved in accidents? (1 billion = 1,000,000,000)
Choices:
320
2,700
3,200
28,800
Answer: B
Question: A hiker walked for 3 days. She walked 18 miles on the first day, walking 3 miles per hour. On the second day she walked for one less hour but she walked two mile per hour, faster than on the first day. On the third day she walked the same number of hours as on the first day, but at the same speed as on the second day. How many miles in total did she walk?
Choices:
44
73
60
62
Answer: B
Question: What should come in place of the question mark (X) in the following equation ?
60% of X + 2/3 of 39 = 44
Choices:
30
28
26
18
Answer: A
Question: The ratio of ducks and frogs in a pond is 35 : 39 respectively. The average number of ducks and frogs in the pond is 152. What is the number of frogs in the pond ?
Choices:
160
156
144
None
Answer: A
Question: If x/(12p) is an even prime number, where x is a positive integer and p is a prime number, what is the least value of x?
Choices:
33
44
48
99
Answer: C
Question: What number has a 5:1 ratio to the number 10?
Choices:
50
66
2881
11
Answer: A
Question: A clock shows the time as 3:30 P.m. If the minute hand gains 2 minutes every hour, how many minutes will the clock gain by 1 a.m.?
Choices:
19 Minutes
25 Minutes
26 Minutes
None of these
Answer: A
Question: A can do a job in 15days and B in 20days. If they work on it together for 4 days, then the fraction of the work that is left is?
Choices:
8/15
3/11
1/12
6/13
Answer: A
Question: Two trains are moving at 80 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
Choices:
5 sec
6 sec
7 sec
8 sec
Answer: B
Question: The radius of a cylindrical vessel is 5cm and height is 3cm. Find the whole surface of the cylinder?
Choices:
251.4 sq cm
440 sq cm
132 sq cm
138 sq cm
Answer: A
Question: In a apartment, 30% of the people speak English, 20% speak Hindi and 13% speak both. If a people is selected at random, what is the probability that he has speak English or Hindi?
Choices:
2/30
10/27
2/90
13/27
Answer: B
Question: If 36 men can do a piece of work in 25 hours, in how mwny hours will15 men do it?
Choices:
38
60
88
72
Answer: B
Question: A bookshop had science and art books in the ratio of 2:5. By the end of the week, 20% of both type of books were sold and 2240 books were unsold. How many art books were there at the starting?
Choices:
1350
1450
1600
2000
Answer: D
Question: In the xy-plane, a line has slope 3 and x-intercept 4. What is the y-intercept of the line?
Choices:
-12
0
3
9
Answer: A
Question: The income of a company increases 20% per annum. If its income is 2664000 in the year 1999 what was its income in the year 1997?
Choices:
2850000
2121000
1855000
None of these
Answer: D
Question: 5 men and 5 women participated in a interview. If two people get the job, how many chances there will be at least a man is
selected?
Choices:
32
35
31
40
Answer: B
Question: A right triangle PQR has sides such that the longest side PR is twice the length of side PQ and thrice the length of side QR. If PR = 6, what is the area of the triangle?
Choices:
36
3
2
4
Answer: B
Question: An isosceles triangle has a perimetre of 37 centimetres and its base has a length of 9 centimetres. The other two sides will each have a length of
?
Choices:
14 cm
16 cm
17 cm
18 cm
Answer: A
Question: Of the employees in a company, 30 % are female who have a master degree. If 20 % of the female employees do not have a master degree, what percent of the employees in the company are female?
Choices:
30 %
32.5 %
37.5 %
45 %
Answer: C
Question: If a coin has an equal probability of landing heads up or tails up each time it is flipped , what is the probability that the coin will land Tails up exectly twice in 3 consecutive flips ?
Choices:
0.375
0.325
0.5
0.666
Answer: A
Question: Find the no.of ways of arranging the boy and 4 guests at a circular table so that the boy always sits in a particular seat?
Choices:
4!
9!
10!
11!
Answer: A
Question: The length of the rectangular field is double its width. Inside the field there is square shaped pond 5m long. If the area of the pond is 1/8 of the area of the field. What is the length of the field?
Choices:
32
75
20
11
Answer: C
Question: Given 2 numbers; 8 and q, the LCM and HCF of both numbers is 72 and 1 respectively. Find q?
Choices:
5
6
9
7
Answer: C
Question: Right triangle PQR is to be constructed in the xy-plane so that the right angle is at P and PR is parallel to the x-axis. The x and Y coordinates of P,Q and R are to be integers that satisfy the inequalitites -4≤ X≤ 5 and 6≤ y≤ 16. How many different triangles with these properties could be constructed?
Choices:
1100
9900
10000
12100
Answer: B
Question: What is the dividend. divisor 16, the quotient is 6 and the remainder is 2
Choices:
87
88
89
90
Answer: B
Question: If a trader sold two cars each at Rs. 325475 and gains 12% on the first and loses 12% on the second, then his profit or loss percent on the whole is?
Choices:
1.44%
1.84%
1.47%
1.24%
Answer: A
Question: Three hundred students at College Q study a foreign language. Of these, 120 of those students study French, and 170 study Spanish. If at least 90 students who study a foreign language at College Q study neither French nor Spanish, then the number of students who study Spanish but not French could be any number from
Choices:
50 to 90
60 to 100
60 to 110
70 to 110
Answer: A
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 22 seconds. The ratio of their speeds is?
Choices:
3/2
3/5
3/1
5/5
Answer: D
Question: The heights of two right circular cones are in the ratio 1 : 2 and the perimeters of their bases are in the ratio 3 : 4. Find the ratio of their volumes.
Choices:
12:4
9:6
1:7
9:32
Answer: D
Question: If a - b = 5 and a2 + b2 = 34, find the value of ab.
Choices:
A)4.5
C)15
D)18
E)20
Answer: A
Question: Dawson got a weekly raise of $160. If he gets paid every other week, write an integer describing how the raise will affect his paycheck.
Choices:
160
170
180
190
Answer: A
Question: $500 will become $1000 in 6 years find the rate of interest?
Choices:
A)16.67%
C)25%
D)30%
E)50%
Answer: A
Question: Which one of the following numbers can be removed from the set S = {0, 2, 4, 5, 9} without changing the average of set S?
Choices:
2
4
5
6
Answer: B
Question: A man swims downstream 72 km and upstream 45 km taking 12 hours each time; what is the speed of the current?
Choices:
1.125
1.126
1.123
1.121
Answer: A
Question: If y is a positive even integer, and n and m are consecutive integers, then (n - m)^y/(m - n)^y =
Choices:
-1
0
1
2
Answer: C
Question: A car traveled 75% of the way from town A to town B at an average speed of 60 miles per hour. The car travels at an average speed of S miles per hour for the remaining part of the trip. The average speed for the entire trip was 40 miles per hour. What is S ?
Choices:
20
25
30
37.5
Answer: A
Question: Here is 15 dots. If you select 3 dots randomly, what is the probability that 3 dots make a triangle?
Choices:
412/455
434/455
449/455
438/455
Answer: A
Question: If f(2, 7) = 57 and f(1, 6) = 37, what is the value of f(3, 10)?
Choices:
127
147
None of these
Cannot be determined
Answer: A
Question: Usually the room tariff in this hotel is higher. At present, it is low because of the ______ season.
a. peak
Choices:
bkue
orancge
off
iwww
Answer: C
Question: A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?
Choices:
5/9
5/4
5/2
5/1
Answer: A
Question: How many seconds will a 650 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 48 km/hr?
Choices:
45
54
44
48
Answer: B
Question: What will be the compound interest on Rs. 25000 after 3 years at the rate of 12 % per annum
Choices:
Rs 10123.20
Rs 10123.40
Rs 10123.50
None of these
Answer: A
Question: If a man can cover 12 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Choices:
162 km
172 km
168 km
112 km
Answer: A
Question: If a and b are prime numbers, which of the following CANNOT be (x + y)?
Choices:
9
13
16
23
Answer: D
Question: Two 6 faced dice are thrown together. The probability that all the three show the same number on them is?
Choices:
1/6
1/33
1/38
1/34
Answer: A
Question: 12 is 6% of a, and 6 is 12% of b. c equals b/a. What is the value of c?
Choices:
1 / 3
1 / 4
1 /6
1 / 12
Answer: B
Question: Share Rs.4200 among John, Jose & Binoy in the ration 2 : 4 : 6.Find the amount received by John?
Choices:
980
1200
1240
1400
Answer: D
Question: If 6 (A's capital) = 8 (B's capital) = 10 (C's capital). Then the ratio of their capitals is?
Choices:
20:15:16
20:15:12
20:15:11
20:15:15
Answer: B
Question: In how many way the letter of the word "APPLE" can be arranged
Choices:
40
60
80
90
Answer: B
Question: Jar A has 16% more marbles than Jar B . What percent of marbles from Jar A need to be moved into Jar B so that both jars have equal marbles?
Choices:
7%
9%
11%
13%
Answer: A
Question: If green means red, red means white, white means blue, blue means orange and orange means green, what is the colour of snow ?
Choices:
Blue
Yellow
Red
Pink
Answer: A
Question: If Rs.450 amount to Rs.540 in 4 years, what will it amount to in 6 years at the same rate % per annum?
Choices:
327
585
972
271
Answer: B
Question: A sum fetched total simple interest of 4016.25 at the rate of 13 p.c.p.a. in 5 years. What is the sum?
Choices:
6178.85
4462.5
8900
None of these
Answer: A
Question: There are 100 freshmen at a particular college, all of whom must take at least one of the three core classes: Art, Biology, and Calculus. Of these freshmen, 21 take only Biology, 10 take only Calculus, 5 take all three classes, and 20 take Art and exactly one of the other two core classes. If the number of freshmen who take only Art is 3 times the number of freshmen who take every core class except Art, how many freshmen take Art?
Choices:
32
36
58
61
Answer: C
Question: If 1/2 of a pencil is blue, 1/8 of the remaining is red and the remaining 3/8 is white, what is the total length of the pencil?
Choices:
3
1
4
2
Answer: B
Question: Look at this series: 7, 10, 8, 11, 9, 12, 10, 13, 11, 14, ... What number should come next?
Choices:
11
12
13
14
Answer: B
Question: In a party attended by 13 persons, each clinch their glass with every other. How many glass clinches?
Choices:
52
78
54
55
Answer: B
Question: Two persons start running simultaneously around a circular track of length 200 m from the same point at speeds of 6 km/hr and 12 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
Choices:
37 sec
17 sec
60 sec
27 sec
Answer: C
Question: 4 shepherds were watching over the flocks and they were commenting on how many sheep they each had. If ram had 3 more sheep than he would have one less than rahul. wheras akar has the same number as the other 3 shepherds put togeher. If john had 3 less sheep he would have exactly trile the number of ram. If they were evenly distributed if they would each have 11 seep how many sheep did ram have?
Choices:
3
4
5
6
Answer: A
Question: Reduce
368/575 to the lowest terms.
Choices:
28/29
27/29
16/25
17/28
Answer: C
Question: A man can row 30 km downstream and 20 km upstream in 4 hours. He can row 45 km downstream and 40 km upstream in 7 hours. Find the speed of man in still water?
A. 15 kmph B. 10 kmph
Choices:
28.8 kmph
28.9 kmph
12.5 kmph
29.9 kmph
Answer: C
Question: What is the two-digit number?
I. Sum of the digits is 7.
II. Difference between the number and the number obtained by interchanging the digits is 9.
III. Digit in the ten's place is bigger than the digit in the unit's place by 1.
Choices:
II and III
I and III only
All
I and II as well as I and III
Answer: D
Question: A man started driving at a constant speed, from the site of a blast, the moment he heard the blast. He heard a second blast after a time of 30 mins and 15 seconds. If the second blast occurred exactly 30 mins after the first, how many meters was he from the site when he heard the second blast? ( speed of sound = 330 m/s)
Choices:
2750
3850
4950
6050
Answer: C
Question: Distance between A and B is 36 miles. Two men started walking from A and B at the same time towards each other. The person who started from A traveled uniformly with average speed 2 mph. While the other man traveled with varying speeds as follows: In first hour his speed was 1 mph, in the second hour it was 1.25 mph, in the third hour it was 1.5 mph, and so on. Where will they meet each other?
Choices:
12 miles away from B
after 6 hours from start
after 12 hours from start
midway between A and B
Answer: D
Question: If the personal income tax rate is lowered from 42% to 32%, what is the differential savings for a tax payer having an annual income before tax to the tune of $42400?
Choices:
$5000
$4240
$7000
$10000
Answer: B
Question: The number 523hbc is divisible by 7,8,9. Then what is the value of h*b*c
Choices:
532
210
180
280
Answer: C
Question: Find the area of the quadrilateral of one of its diagonals is 30 cm and its off sets 9 cm and 6 cm?
Choices:
225 cm2
127 cm2
177 cm2
187 cm2
Answer: A
Question: In the xy-plane, the point (3, 1) is the center of a circle. The point (3, -2) lies inside the circle and the point (-2, 1) lies outside the circle. If the radius r of the circle is an integer, then r =
Choices:
3
4
5
6
Answer: B
Question: How long does a train 165 meters long running at the rate of 90 kmph take to cross a bridge 660 meters in length?
Choices:
27
33
18
12
Answer: B
Question: How much time will a train of length 200 m moving at a speed of 72 kmph take to cross another train of length 300 m, moving at 36 kmph in the same direction?
Choices:
50
28
69
17
Answer: A
Question: A reduction of 44% in the price of bananas would enable a man to obtain 64 more for Rs.40, what is reduced price per dozen?
Choices:
8.3
7.3
3.3
1.3
Answer: C
Question: Sum of the squares of 3 no. is 52 and the sum of their products taken two at a time is 72. Find the sum?
Choices:
21
13
16
14
Answer: D
Question: X and Y are integers, X is even and negative, Y is odd and positive. Which of the following could be false?
1. (X + Y) is an even number.
2. Y^(X + Y) is not an integer.
3. X^Y is a positive number.
Choices:
2 only.
1 and 3 only.
2 and 3 only.
1, 2 and 3.
Answer: A
Question: How many times digit 5 is used while writing numbers from 100 to 1000?
Choices:
300
252
225
290
Answer: D
Question: fill in ht blank:(a) the point with coordinates (0,0) is called ____ of a rectangular coordinate system,(b) to find the y-intercept of a line, we let ___ equal 0 and solve for ___; to find x- intercept , we let ____ equal 0 and solve for___
Choices:
(a) the point with coordinates (0,0) is called end of a rectangular coordinate system, (b) to find the y-intercept of a line, we let x equal 0 and solve for x ; to find x- intercept , we let y equal 0 and solve for y
(a) the point with coordinates (0,0) is called origin of a rectangular coordinate system, (b) to find the y-intercept of a line, we let x equal 0 and solve for y ; to find x- intercept , we let y equal 0 and solve for x
(a) the point with coordinates (0,0) is called end of a rectangular coordinate system, (b) to find the y-intercept of a line, we let x equal 0 and solve for y ; to find x- intercept , we let y equal 0 and solve for z
none of the above
Answer: B
Question: How many three letter words are formed using the letters of the word TIME?
Choices:
21
26
24
29
Answer: C
Question: Calculate the largest 6 digit number which is exactly divisible by 55?
Choices:
999955
999845
999790
999735
Answer: A
Question: A baseball team won 45 percent of the first 80 games it played. How many of the remaining 82 games will the team have to win in order to have won exactly 50 percent of all the games it played?
Choices:
45
50
55
81
Answer: A
Question: Barbie invests $2400 in the National Bank at 5%. How much additional money must she invest at 8% so that the total annual income will be equal to 6% of her entire investment?
Choices:
3000
1000
3600
1200
Answer: D
Question: The scoring system in a certain football competition goes as follows: 3 points for victory, 1 point for a draw, and 0 points for defeat. Each team plays 20 matches. If a team scored 10 points after 5 games, what is the least number of the remaining matches it has to win to reach the 45-point mark by the end of the tournament?
Choices:
7
8
9
10
Answer: D
Question: Two persons start running simultaneously around a circular track of length 400 m from the same point at speeds of 15 kmph and 25 kmph. When will they meet for the first time any where on the track if they are moving in the opposite direction ?
Choices:
36
124
32
38
Answer: A
Question: A car takes 3hrs less than a truck to cover the distance frm Bombay to pune(192 km). The speed of the truck is 16km/hr slower than car.Find the speed of the car?
Choices:
40.38
41.3
48
45
Answer: A
Question: If d=1/(2^3*5^11) is expressed as a terminating decimal, how many nonzero digits will d have?
Choices:
Two
Three
Seven
Ten
Answer: B
Question: What least number should be added to 1101, so that the sum is completely divisible by 24
Choices:
B)1
C)2
D)3
E)5
Answer: C
Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Choices:
3456
4578
4290
5184
Answer: D
Question: If the average (arithmetic mean) of 2a+16, 3a-8 is 94, what is the value of a?
Choices:
30
28
36
42
Answer: C
Question: Find the value of (875 233/899) × 899
Choices:
786650
786700
786750
786858
Answer: D
Question: How many words can be formed by using all letters of the word ‘LONDON’ ?
Choices:
320
420
620
720
Answer: D
Question: Following an increase in prices, the price of a candy box was 20 pounds and the price of a can of soda was 6 pounds. If the price of a candy box was raised by 25%, and the price of a can of soda was raised by 50%. What was the price of a box of candy plus a can of soda before prices were raised?
Choices:
20.
13.
14.
14.5
Answer: A
Question: The rate of Interest on a sum of money is 8% p.a. for the first 3 years, 4% p.a. for the next 4 years, and 5% for the period beyond 7 years. If the S.I, Occured on the sum for the total period of 8 years is Rs. 540/-, the sum is
Choices:
1,200
2,100
2,250
2,540
Answer: A
Question: A mail handler needs 3 hours to sort the mail. His assistant takes 6 hours to sort the mail. How many hours will it take for both of them working together to sort the mail?
Choices:
2
1
2 1/2
1 1/5
Answer: A
Question: Three pipes, A, B, & C are attached to a tank. A & B can fill it in 20 & 30 minutes respectively while C can empty it in 15 minutes. If A, B & C are kept open successively for 0.5 minute each, how soon will the tank be filled?
Choices:
1 hour 30 min
3 hours
5 hours
6 hours
Answer: A
Question: If the value of a piece of property decreases by 10% while the new tax rate on the property represent 110% of the original tax rate, what is the effect on the taxes?
Choices:
taxes increase by 1%
there is no change in taxes
taxes decrease by 1%
taxes decrease by 10%
Answer: C
Question: ABCD is a parallelogram on xy rectangular coordinate plane, three of the four vertices of parallelogram are (5,15) , (5,55) and (-5,15). Which can be the coordinate of fourth vertex?
Choices:
(15,55)
(-5,-25)
(-5,10)
(15,25)
Answer: A
Question: Solution A is 20% salt and Solution B is 80% salt. If you have 30 ounces of solution A and 60 ounces of solution B, in what ratio could you mix Solution A with Solution B to produce 50 ounces of a 50% salt solution?
Choices:
6:14
4:4
4:6
3:7
Answer: B
Question: Three years ago, the average age of A and B was 18 years. With C joining them, the average age becomes 22 years. How old is C now?
Choices:
24 years
27 years
30 years
None
Answer: A
Question: A thief steals at a car at 2.30 p.m. and drives it at 60 km/hr. The theft is discovered at 3 p.m. and the owner sets off in another car at 75 km/hr. When will he overtake the thief?
Choices:
78
5
6
7
Answer: B
Question: The ratio between the length and the breadth of a rectangular park is 3:2. If a man cycling along theboundary of the park at the speed of 12 km/hr completes one round in 8 min, then the area of the park is?
Choices:
178600 m
153600 m
163600 m
173600 m
Answer: B
Question: If a company allocates 10 percent of its budget to advertising, 10 percent to capital improvements, and 55 percent to salaries, what fraction of its budget remains for other allocations?
Choices:
1/4
3/10
1/5
1/10
Answer: A
Question: If the price of sugar rises from Rs. 10 per kg to Rs. 11 per kg, a person, to have no increase in the expenditure on sugar, will have to reduce his consumption of sugar by
Choices:
9%
25%
30%
none
Answer: A
Question: A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 40 years now, the son's age five years back was?
Choices:
15 years
18 years
19 years
25 years
Answer: A
Question: If q and r are both odd numbers N, which of the following must also be odd?
Choices:
(q + r)^2
q(q + r)
(qr)^2
q/r
Answer: C
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
none
Answer: B
Question: If f(x)= 5x^3- 2x+8 and h(y)= 4y-4, then h(f(x)) =
Choices:
11x^2-12x+44
8x^3-8x+32
30x^3+4x+4
20x^3-8x+28
Answer: D
Question: The average of 60 results is 40 and the average of other 40 results is 60 . what is the average of all the results?
Choices:
25
48
50
None
Answer: B
Question: A question paper has 5 multiple choice questions. Each question has 2 choices with only one choice as the correct answer. What is the total number of ways in which a candidate will not get all the 10 answers correct?
Choices:
85
120
624
1024
Answer: D
Question: The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?
Choices:
4%
6%
3%
1%
Answer: A
Question: Tough and Tricky questions: Word Problems.
A salesman's income consists of commission and base salary. His weekly income totals over the past 5 weeks have been $406, $413, $420, $436 and $395. What must his average (arithmetic mean) income over the next two weeks be to decrease his average weekly income to $400 over the 7-week period?
Choices:
$400
$365
$385
$375
Answer: B
Question: The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on atleast one ticket is?
Choices:
0.5904
0.5912
0.5916
1
Answer: A
Question: Country C imposes a two-tiered tax on imported cars: the first tier imposes a tax of 12% of the car's price up to a certain price level. If the car's price is higher than the first tier's level, the tax on the portion of the price that exceeds this value is 8%. If Ron imported a $12,000 imported car and ended up paying $1440 in taxes, what is the first tier's price level?
Choices:
$6000
$6050
$1200
$8000
Answer: C
Question: If x : y = 3 : 4, find (4x + 5y) : (5x - 2y).
Choices:
32/7
2/7
32/17
2/17
Answer: A
Question: In how many ways can 10 people, A, B, C, D, E, F, G, H, I, J be seated in a row such that C and D are not seated next to each other as well as A and B are not seated next to each other?
Choices:
396
576
3628704
6960087
Answer: C
Question: The area of one square is x^2 + 10x + 25 and the area of another square is 4x^2 − 20x + 25. If the sum of the perimeters of both squares is 36, what is the value of x?
Choices:
3
7
9
11
Answer: A
Question: What is the rate percent when the simple interest on Rs.810 amount to Rs.155 in 4 Years?
Choices:
4.78
4.58
4.48
4.38
Answer: A
Question: In the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30. In the sport formulation, the ratio of flavoring to corn syrup is three times as great as in the standard formulation, and the ratio of flavoring to water is half that of the standard formulation. If a large bottle of the sport formulation contains 5 ounces of corn syrup, how many ounces of water does it contain?
Choices:
50
55
60
75
Answer: D
Question: In how many ways 5 different balls can be arranged in to 3 different boxes so that no box remains empty?
Choices:
150
175
200
225
Answer: A
Question: The percentage profit earned by selling an article for $1920 is equal to the percentage loss incurred by selling the same article for $1280. At what price should the article be sold to make 25% profit?
Choices:
3000
2000
4000
5000
Answer: B
Question: Mr. Smith calculated the average of 10three digit numbers. But due to a mistake he reversed the digits of a number and thus his average increased by 39.6. The difference between the unit digit and hundreds digit of that number is :
Choices:
a) 4
c) 2
d) 1
e) 0
Answer: A
Question: In a University the average age in an arts class is 21 and average age in technical class is 18. What is the age average of University if there are 8 arts classes and 5 technical classes?
Choices:
19.85
20.32
20.9
21.0
Answer: A
Question: In a certain deck of cards, each card has a positive integer written on it, in a multiplication game a child draws a card and multiplies the integer on the card with the next large integer. If the each possible product is between 11 and 200, then the least and greatest integer on the card would be
Choices:
3 and 15
4 and 13
4 and 14
5 and 14
Answer: A
Question: In an electric circuit, two resistors with resistances x and y are connected in parallel. If R is the combined resistance of these two resistors, then the reciprocal of R is equal to the sum of the reciprocals of x and y. What is R if x is 5 Ohms and y is 7 Ohms?
Choices:
1/7
12/35
31/12
35/12
Answer: D
Question: How many real roots does the equation x^2y+15xy+64y=0 have if y < 0?
Choices:
1
2
3
Infinite
Answer: B
Question: A fruit-salad mixture consists of apples, peaches, and grapes in the ratio 6:5:4, respectively, by weight. If 60 pounds of the mixture is prepared, the mixture includes how many more pounds of apples than grapes?
Choices:
12
8
6
4
Answer: B
Question: If the personal income tax rate is lowered from 40% to 33%, what is the differential savings for a tax payer having an annual income before tax to the tune of $45000?
Choices:
$5000
$3150
$7000
$10000
Answer: B
Question: E is the set of all positive integers x such that x^2 is a multiple of both 27 and 375. Which of the following integers must be a divisor of every integer x in E?
I. 9
II. 15
III. 27
Choices:
II only
I and II only
I and III only
I, II, and III
Answer: B
Question: The first three terms of a proportion are 2, 10 and 20. The fourth term is?
Choices:
102
190
100
134
Answer: C
Question: A bag contains 6 black and 7 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Choices:
7/13
1/7
1/8
4/3
Answer: A
Question: Apple Street begins at Peach Street and runs directly east for 3.2 kilometers until it ends when it meets Cherry Street. Apple Street is intersected every 200 meters by a perpendicular street, and each of those streets other than Peach Street and Cherry Street is given a number beginning at 1st Street (one block east of Peach Street) and continuing consecutively (2nd Street, 3rd Street, etc...) until the highest-numbered street one block west of Cherry Street. What is the highest-numbered street that intersects Apple Street?
Choices:
15th
16th
17th
18th
Answer: A
Question: When the integer n is divided by 17, the quotient is x and the remainder is 5. When n is divided by 23, the quotient is y and the remainder is 13. Which of the following is true?
Choices:
17x –23y = 8
17x +23y =19
14x + 5y = 6
5x – 14y = -6
Answer: A
Question: f(x) = x! g(x)=x^10 h(x)= 10^x for large values of x which is greater?
Choices:
g(x)
h(x)
both
none
Answer: B
Question: If (2^x)(3^y) = 108, where x and y are positive integers, then (2^x-1)(3^y-2) equals:
Choices:
6
48
96
144
Answer: A
Question: Mr. Shah decided to walk down the escalator of a tube station. He found Â that if he walks down 26 steps, he requires 30 seconds to reach the bottom. However, if he steps down 34 stairs he would only require 18 seconds to get to the bottom. If the time is measured from the moment the top step begins Â to descend to the time he steps off the last step at the bottom, find out the height of the stair way in steps?
Choices:
45
46
47
48
Answer: B
Question: If a certain sample of data has a mean of 35.0 and a standard deviation of 2.0, which of the following pairs contain two values that are each at least 2.5 standard deviations from the mean?
Choices:
(14.5; 21.0)
(14.0; 26.5)
(16.5; 26.0)
(28.0; 46.5)
Answer: D
Question: Three people each took 3 tests. If the ranges of their scores in the 3 practice tests were 17, 28 and 35, what is the minimum possible range in scores of the three test-takers?
Choices:
b) 28
c) 35
d) 45
e) 80
Answer: A
Question: If (a-b) is 6 more than (c+d) and (a+b) is 3 less than (c-d), then (a-c)
Choices:
1.5
2.5
1.0
2.0
Answer: A
Question: Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 90 kmph and 72 kmph. After how much time will the trains meet?
Choices:
20/9 sec
33/7 sec
21/7 sec
32/7 sec
Answer: A
Question: What will be the compound interest on a sum of Rs. 26000 after 3 years at the rate of 12% p.a.?
Choices:
s.10823.20
s.10123.20
s.10123.29
s.10528.13
Answer: D
Question: In 1970 there were 8,902 women stockbrokers in the United States. By 1978 the number had increased to 24,947. Approximately what was the percent increase?
Choices:
125%
145%
150%
180%
Answer: D
Question: Find the invalid no.from the following series 13, 17, 22, 26, 31, 38
Choices:
38
40
37
25
Answer: A
Question: A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Choices:
60
75
80
90
Answer: D
Question: In some quantity of ghee, 60% is pure ghee and 40% is vanaspati. If 10kg of pure ghee is added, then the strength of vanaspati ghee becomes 20%. The original quantity was?
Choices:
10
20
18
22
Answer: A
Question: What will come in place of the x in the following Number series? 25, 100, x, 1600, 6400
Choices:
3579
6400
6799
8646
Answer: B
Question: If 6x = 8y = 10z, then what is a possible sum of positive integers x, y, and z?
Choices:
58
84
94
168
Answer: C
Question: 2^(24) + 2^(25) + 2^(26) + ... + 2^(43) + 2^(44) =
Choices:
2^24(2^(21)-1)
2^24(2^(23)-1)
2^21(2^(20)-1)
2^21(2^(21)-1)
Answer: A
Question: David pays the simple interest on an amount he borrowed from his boss, if interest rate is halved, then simple interest is multiplied by
Choices:
1
1/4
1/2
4
Answer: C
Question: Three people have $30, $72, and $98, respectively. If they pool their money then redistribute it among them, what is the maximum value for the median amount of money?
Choices:
$85
$98
$100
$202
Answer: C
Question: If the length of a rectangle is halved and its breadth is tripled, what is the percentage change in its area?
Choices:
30%
50%
70%
65%
Answer: B
Question: What is value of ((2^5)*(9^2))/((8^2)*(3^5))=?
Choices:
1/6
2/3
1/4
4
Answer: A
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:
180 metres
324 metres
150 metres
175 metres
Answer: C
Question: A can do a piece of work in 4 hours; B and C together can do it in 3 hours, which A and C together can do it in 2 hours. How long will B alone take to do it?
Choices:
1/11
1/12
1/17
1/14
Answer: B
Question: Three 6 faced dice are thrown together. The probability that all the three show the same number on them is ?
Choices:
1/36
1/31
1/33
1/32
Answer: A
Question: There are three different hoses used to fill a pool: hose U, hose V, and hose W. Hose x can fill the pool in a days, hose y in b days, and hose z in c days, where a > b > c. When all three hoses are used together to fill a pool, it takes d days to fill the pool. Which of the following must be true?
I. d<c
II. d>b
III. c/3<d<a/3
Choices:
III
I and II only
II & III
II
Answer: D
Question: A man’s speed with the current is 14 km/hr and the speed of the current is 2.5 km/hr. the man’s speed against the current is :
Choices:
9 km/hr
10 km/hr
12.5 km/hr
None of these
Answer: A
Question: Two motor cycles A & B are started from one point at 4 Kmph & 6 Kmph; After 45 min B starts returning, at what time they will meet ?
Choices:
54 mins
56 mins
57 mins
58 mins
Answer: A
Question: Set A consists of all the prime numbers between 2 and 13. What is the range of set A?
Choices:
13
16.6
17
8
Answer: D
Question: How many shots of 1cm radius can be prepared from a sphere of 6cm radius?
Choices:
88
216
288
299
Answer: B
Question: The numbers of pizza slices that are sold in Joey's Pizza are only in quantities of 3 and 5 slices per customer. How many slices cannot be bought?
Choices:
38.
33.
22.
21.
Answer: D
Question: a=2, b=3, c=6 Find the value of c/(a+b)-(a+b)/c
Choices:
9/30
10/30
11/30
12/30
Answer: C
Question: Lamp A flashes every 6 seconds, Lamp B flashes every 8 seconds, Lamp C flashes every 10 seconds. At a certain instant of time all three lamps flash simultaneously. During the period of 10 minutes after that how many times will exactly two lamps flash? (Please include any flash of exactly two lights which occurs at the 10 minute mark.)
Choices:
42
43
44
45
Answer: D
Question: At the recent downhill mountain bike race 4 entrants entered a challenging slalom event. Prem came first. The entrant wearing no 2 wore red. whereas kian did not wear yellow. the loser wore blue and rahul wore no 1.Sanjay beat rahul and the person who came second wore no 3.te entrant in yellow beat the entrant in green. Only one of the entrant s wore the same number and the final position. Determine who finished 3rd, the no and the color they wore?
Choices:
Rahul 1 green
Kiran 4 blue
Kiran 7 blue
none of these
Answer: A
Question: Find the area of a parallelogram with base 32 cm and height 18 cm?
Choices:
576 cm2
672 cm2
267 cm2
286 cm2
Answer: A
Question: Souju's age is 115% of what it was 10 years ago, but 83 1/3% of what it will be after 10 years. What is her present age?
Choices:
72 years
56 years
66 years
76 years
Answer: D
Question: On the first of the year, James invested x dollars at Proudstar bank in an account that yields 0.5% in interest every quarter year. At the end of the year, during which he made no additional deposits or withdrawals, he had y dollars in the account. If James had invested the same amount in an account which pays interest on a yearly basis, what must the interest rate be for James to have y dollars at the end of the year?
Choices:
2.04%
5%
8.25%
10%
Answer: A
Question: A set consists of 15 numbers, all are even or multiple of 5. If 8 numbers are even and 10 numbers are multiple of 5, how many numbers is multiple of 10?
Choices:
1
2
3
5
Answer: C
Question: A shopkeeper purchased 70 kg of potatoes for Rs. 420 and sold the whole lot at the rate of Rs. 6.20 per kg. What will be his gain percent?
Choices:
2 1/3 %
3 1/3 %
8 1/8 %
8 1/9 %
Answer: B
Question: What should be the least number to be added to the 51234 number to make it divisible by 9?
Choices:
17
18
77
26
Answer: B
Question: A set of numbers has the property that for any number t in the set,t+2 is in the set. If -2 is in the set, which of the following must also be in the set? I. -3 II. 1 III. 4
Choices:
I,III only
III only
II,III only
I only
Answer: B
Question: After allowing a discount of 15% on the marked price, the selling price is Rs. 6800 for an article. If it was sold at marked price, there would have been a profit of 60%. The cost price of the article is?
Choices:
Rs.5029
Rs.5000
Rs.5197
Rs.5029
Answer: B
Question: Tanks A and B are each in the shape of a right circular cylinder. The interior of tank A has a height of 10 meters and a circumference of 8 meters, and the interior of tank B has a height of 8 meters and a circumference of 10 meters. The capacity of tank A is what percent of the capacity of tank B?
Choices:
50%
60%
70%
80%
Answer: D
Question: If x, y, and z are positive integers, and 2x = 5y = 7z, then the least possible value of x + y + z is
Choices:
28
37
42
59
Answer: D
Question: What is the least number of squares tiles required to pave the floor of a room 2 m 42 cm long and 1 m 76 cm broad?
Choices:
88
84
44
54
Answer: A
Question: A money lender finds that due to a fall in the annual rate of interest from 8% to 7 ¾ % his yearly income diminishes by Rs.61.50. his capital is
Choices:
3778
24600
27888
12771
Answer: B
Question: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?
Choices:
2.88
2.82
2.84
2.83
Answer: A
Question: A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is?
Choices:
111
822
150
379
Answer: C
Question: Indu gave Bindu Rs.2500 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest?
Choices:
2
7
4
9
Answer: C
Question: x = y - (1/y), where x and y are both > 0. If the value of y is doubled in the equation above, the value of x will
Choices:
stay the same
increase four fold
just more than double
increase to more than five times
Answer: C
Question: A tourist purchased a total of $3,500 worth of traveler’s checks in $10 and $50 denominations, During the trip the tourist cashed 7 checks and then lost all of the rest. If the number of $10 checks cashed was one more or one less than the number of $50 checks cashed, what is the minimum possible value of the checks that were lost?
Choices:
$2,310
$2,290
$3,270
$4,150
Answer: C
Question: Dany bought a total of 20 game cards some of which cost $0.25 each and some of which cost $0.15 each. If Dany spent $4.2 to buy these cards, how many cards of each type did he buy?
Choices:
3
5
8
13
Answer: C
Question: What is vasu salary if salary of vasu is more than rajan salary working in same company i)vasu salary is 100 more than rajan salary. ii)rajan found 2000 allowns which is 50 less than vasu. (iii)basic salry of rajan is 1000.
Choices:
i & ii is required
i& iii is required
i&ii&iii is required
none of these
Answer: A
Question: The distance light travels in one year is approximately 5,850,000,000,000 miles. The distance light travels in 100 years is
Choices:
B) 587 × 1010 miles
C) 587 × 10-10 miles
D) 585 × 1012 miles
E) 587 × 10-12 miles
Answer: C
Question: A box contains four nickel coins, of which two coins have heads on both their faces, one coin has tail on both its faces and the fourth coin is a normal one. A coin is picked at random and then tossed. If head is the outcome of the toss, then find the probability that the other face (hidden face) of the coin tossed is also a head.
Choices:
2/5
4/5
1/5
3/4
Answer: B
Question: The owner of a furniture shop charges his customer 60% more than the cost price. If a customer paid Rs. 1000 for a computer table, then what was the cost price of the computer table?
Choices:
650
625
115
400
Answer: A
Question: If x is an integer and 3.134 × 10^x is less than 31,000 what is the greatest possible value for x?
Choices:
6
5
4
3
Answer: D
Question: For each hour of production, a certain factory requires 1 assembly line worker for every 25 units to be produced in that hour. The factory also requires 12 managers regardless of the number of units to be produced. Which of the following expressions represents the total number of assembly line workers and managers that this factory requires to produce 75N in one hour, where N is a positive integer?
Choices:
12 + 3N
62N
37N
25
Answer: A
Question: calculate the time required to become sum 2 times of itself at rate of 10%.
Choices:
15year
10year
8year
12year
Answer: B
Question: find 3 consecutive odd integers, all less than 100, such that the sum of their squares forms a Unidigit (that is, all its digits are the same). Thus, for integer abc, a^2 + b^2 +c^2 equals a Unidigital.
Choices:
43,45,47
45,47,49
41,43,45
41,43,47
Answer: C
Question: A train crosses a bridge of length 1500 m in 70 seconds and a lamp post on the bridge in 20 seconds. What is the length of the train in metres?
Choices:
750 m
250 m
600 m
300 m
Answer: C
Question: A train passes a station platform in 55 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
525 m
240 m
320 m
None
Answer: A
Question: The salary of a typist was at first raised by 10% and then the same was reduced by 5%. If he presently draws Rs.1045.What was his original salary?
Choices:
2788
1000
2877
28881
Answer: B
Question: 1 + 1 ÷ {1 + 1 ÷ (1 + 1/3)} = ?
Choices:
1 4/7
1 1/8
1 2/3
None
Answer: A
Question: If the sum of three consecutive even numbers is 48 more than the average of these numbers, then the largest of these numbers is?
Choices:
24
22
26
27
Answer: C
Question: A basketball player succeeds with 60% of her free throws. If she has a set of three free throws, what is the probability that she succeeds at least once?
Choices:
0.872
0.936
0.952
0.985
Answer: B
Question: A five-character password consists of three letter of the alphabet and two different digits between 0 and 9, inclusive. The letter must appear as the second or third character of the password. How many different passwords are possible?
Choices:
18,443,720
26,337,000
28,337,440
28,473,120
Answer: D
Question: What is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad?
Choices:
814
842
844
848
Answer: A
Question: The sector of a circle has radius of 21 cm and central angle 135o. Find its perimeter?
Choices:
91.5 cm
91.8 cm
92.5 cm
99.5 cm
Answer: A
Question: A jogger is running at 9 kmph alongside a railway track in 240 meters ahead of the engine of a 120 meters long train . The train is running at 45 kmph in the same direction. how much time does it take for the train to pass the jogger?
Choices:
36 seconds
38 seconds
26 seconds
18 seconds
Answer: A
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. 56?
Choices:
920
3808
6928
3729
Answer: B
Question: What is the remainder when (55)(57) is divided by 7?
Choices:
2
3
5
6
Answer: D
Question: After decreasing 24% in the price of an article costs Rs.684. Find the actual cost of an article?
Choices:
777
900
2688
1991
Answer: B
Question: A man is 36 years older than his son. In THREE years, his age will be THRICE the age of his son. The present age of this son is
Choices:
22 years
18 years
16 years
15 years
Answer: D
Question: (3 x 10^5) + (2 x 10^3) + (4 x 10^2) =
Choices:
302400
30240
3240
324
Answer: A
Question: Ravi, Gagan and Nitin are running a business firm in partnership. What is Gagan’s share in the profit earned by them?
I.Ravi, Gagan and Nitin invested the amounts in the ratio of 2 : 4 : 7.
II.Nitin’s share in the profit is Rs. 8750.
Choices:
II alone sufficient while I alone not sufficient to answer
Either I or II alone sufficient to answer
Both I and II are not sufficient to answer
Both I and II are necessary to answer
Answer: D
Question: There are C girls in a class, and their average height is M inches. In the same class, there are D boys with an average height of N inches. What is the average height of all the students in the class?
Choices:
(M + N)/(X + Y)
(XM + YN)/(M + N)
(CM + DN)/(C+ D)
MN/XY
Answer: C
Question: When x is multiplied by 3, the result is 10 more than the result of subtracting x from 26. What is the value of x?
Choices:
9
11
13
22
Answer: A
Question: A boat can move upstream at 50 kmph and downstream at 100 kmph, then the speed of the current is?
Choices:
45
25
40
20
Answer: B
Question: A person takes 5hrs 45 min in walking to a place and ridingback. He would have gained 2hrs by riding both ways. The time he would take to walk both ways is?
Choices:
5 hours 55 min
6 hours 45 min
7 hours 45 min
8 hours
Answer: C
Question: The price of the sugar rise by 25%. If a family wants to keep their expenses on sugar the same as earlier, the family will have to decrease its consumption of sugar by
Choices:
20%
80%
75%
None
Answer: A
Question: How many integers between 300 and 1100 are there such that their unit digit is odd?
Choices:
300
400
500
600
Answer: B
Question: At 1:00 PM, Train X departed from Station A on the road to Station B. At 1:50 PM, Train Y departed Station B on the same road for Station A. If Station A and Station B are p miles apart, Train X’s speed is r miles per hour, and Train Y’s speed is s miles per hour, how many hours after 1:00 PM, in terms of p, r, and s, do the two trains pass each other?
Choices:
0.5 + (p - 0.5s)/(r + s)
0.5 + (p - 0.5r)/r
(p - 0.5r)/(r + s)
0.5 + (p - 0.5r)/(r + s)
Answer: A
Question: On dividing number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder?
Choices:
5
6
7
8
Answer: A
Question: In 10 years, A will be twice as old as B was 10 years ago. If A is now 7 years older than B the present age of B is
Choices:
37
39
40
41
Answer: A