antoine-444/aqua_rat_dataset huggingface dataset:
Question: The toll for crossing a certain bridge is $0.75 each crossing. Drivers who frequently use the bridge may instead purchase a sticker each month for $13.00 and then pay only $0.10 each crossing during that month. If a particular driver will cross the bridge twice on each of x days next month and will not cross the bridge on any other day, what is the least value of x for which this driver can save money by using the sticker?
Choices:
12
16
28
29
Answer: A
Question: if sum of two no. is 12 and subtraction to that is 4.so how much min. should added to smaller no. to make it even?
Choices:
2
0.5
1.5
0
Answer: D
Question: Find the value for x from below equation: x/3=-2?
Choices:
-6
-2
-3
4
Answer: A
Question: 40% of a number is more than 20% of 650 by 190. Find the number?
Choices:
277
800
289
271
Answer: B
Question: The units digit of (35)^(87) + (93)^(49) is:
Choices:
4
6
8
0
Answer: C
Question: There are 9 fictions and 6 non-fictions. How many cases are there such that 2 fictions and 2 non-fictions are selected from them?
Choices:
120
540
180
200
Answer: B
Question: A man gets a simple interest of Rs.500 on a certain principal at the rate of 5% p.a in two years. Find the compound interest the man will get on twice the principal in two years at the same rate.
Choices:
256.25
256.29
236.25
256.22
Answer: A
Question: In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 7 boys when No boy gets more than one prize?
Choices:
114
117
210
217
Answer: C
Question: There are three guys who have equal number of bullets. All of them shoot 6 bullets. The remaining bullets are equal to the total number of bullets remaining is equal to the bullets each had after division. What was the original number of bullets each one had?
Choices:
19
20
21
27
Answer: D
Question: An estate pay would be divided among five sons with the remainder donated to charity. One stipulation in the estate is that no one among the sons can receive an amount within 15% of another's amount. If one of the sons received $10,000, what is the smallest possible range between the highest and lowest amounts (rounded to the nearest dollar) among the five sons?
Choices:
$4804
$7892
$6736
$5736
Answer: A
Question: Ms. Feldman invested $10,000 for 1 year, part at 7% and part at 6.25%.
If she earned a total interest of $656.50, how much was invested at each rate?
Choices:
4200 & 5800
9000 & 1000
7000 & 3000
6000 & 4000
Answer: A
Question: A boat can travel with a speed of 24 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 196 km downstream
Choices:
4 hours
5 hours
6 hours
7 hours
Answer: D
Question: If x > y^4 > z^7, which of the following statements could be true? I.x>y>z II.z=x III.x<z
Choices:
I only
II only
III only
I,II only
Answer: A
Question: A focus group is currently made up of x red balls and y green balls. If 5 red balls and 4 green balls are added to the group, and if one ball is selected at random from the larger focus group, then what is the probability that a red ball is selected?
Choices:
y/(x + 5)
(x + 5)/(x + y + 9)
(y + 4)/(x + y + 9)
(x + 4)/(x + y + 9)
Answer: B
Question: A train 275 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
Choices:
6
5
15
1
Answer: C
Question: Two pipes A and B can fill a cistern in 37.5 minutes and 45 minutes respectively. This cistern will be filled in half an hour if both the pipes are opened together initially and pipe B is then turned off after X minutes. What is X?
Choices:
15 minutes
12 minutes
9 minutes
8 minutes
Answer: C
Question: Mira is making telescopes, each consisting of 2 lenses, 1 tube, and 1 eyepiece. Lenses can be purchased only in packs of 50, tubes only in packs of 10, and eyepieces only in packs of 30. However, half of the lenses in each pack are not usable for telescopes. If all parts are used only for the telescopes, what is the minimum number of lenses Mira must purchase to make a set of telescopes with no leftover components other than the unusable lenses?
Choices:
150
300
1200
7,500
Answer: C
Question: Two trains, each 100 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is?
Choices:
17 km/hr
60 km/hr
77 km/hr
46 km/hr
Answer: B
Question: J is 25% less than P and 20% less than T. T is x% less than P. What is the value of x?
Choices:
90
6.75
6.25
2
Answer: C
Question: The monthly rent of a shop of dimension 10feet × 8feet is Rs.2400. What is the annual rent per square foot of the shop?
Choices:
56
68
360
92
Answer: C
Question: Tomy's age 18 years hence will be thrice his age four years ago. Find Tomy's present age?
Choices:
13 years
15 years
17 years
18 years
Answer: B
Question: Sum of 42 odd numbers is?
Choices:
1764
1784
1794
1754
Answer: A
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.196 where as B does not. In what ratio should they divide the second year's profit?
Choices:
39:49
24:25
39:47
39:41
Answer: B
Question: A certain no. when divided by 35leaves a remainder 25, what is the remainder if the same no.be divided by 15?
Choices:
4
7
8
9
Answer: A
Question: The probability that event A occurs is 0.4, and the probability that events A and B both occur is 0.25. If the probability that either event A or event B occurs is 0.6, what is the probability that event B will occur?
Choices:
0.15
0.45
0.5
0.55
Answer: B
Question: A right triangle ARC has to be constructed in the xy-plane so that the right angle is at A and AR is parallel to x axis. The coordinates of A, R and C are integers and satisfy the inequalities -1 ≤ x ≤ 7 and 1 ≤ y ≤ 7. How many different triangles can be constructed with these properties?
Choices:
336
567
3024
5040
Answer: C
Question: In how many different number of ways a Committee of 3 person of can be selected from 5 men and 3 women such that atleast 1 women is included in the committee
Choices:
46
50
52
56
Answer: A
Question: An error 2% in excess is made while measuring the side ofa square. The % of error in the calculated area of the square is?
Choices:
4.04%
4.23%
4.56%
5%
Answer: A
Question: A train passes a station platform in 36 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:
240
2908
287
201
Answer: A
Question: he speed of a train is 90 kmph. What is the distance covered by it in 10 minutes?
Choices:
15 kmph
17 kmph
95 kmph
14 kmph
Answer: A
Question: In 2010, Arman’s birthday was on a Thursday. What day of the week was it 66 days after his birthday?
Choices:
Friday
Saturday
Sunday
Monday
Answer: C
Question: What is the 9th term in this sequence?
1,3,4,11,19,30,53,87
Choices:
129
140
180
169
Answer: B
Question: Find the fraction which has the same ratio to 1/2 that 2/5 has to 3/7
Choices:
2/12
14/30
3/8
7/9
Answer: B
Question: The ratio of the ages of Maala and Kala is 3 : 5. The total of their ages is 3.2 decades. The proportion of their ages after 0.8 decades will be
[1 Decade = 10 years]
Choices:
5:7
4:5
7:9
3:6
Answer: A
Question: The smallest 3 digit prime number is
Choices:
B)101
C)109
D)113
E)None
Answer: A
Question: John can complete a given task in 20 days. Jane will take only 12 days to complete the same task. John and Jane set out to complete the task by beginning to work together. However, Jane was indisposed 5 days before the work got over. In how many days did the work get over from the time John and Jane started to work on it together?
Choices:
95/8
90/8
12
10
Answer: A
Question: What is the next number of the following sequence
4, 16, 12, 48, 44, 176 (...)
Choices:
146
154
168
172
Answer: D
Question: A man saves 20% of his monthly salary. If an account of dearness of things he is to increase his monthly expenses by 20%, he is only able to save Rs. 200 per month. What is his monthly salary?
Choices:
Rs.5000
Rs.7500
Rs.8500
Rs.9500
Answer: A
Question: There is a 20% chance that Lions will not win at all during the whole season. There is a 30% chance that Tigers will not play at all in the whole season. What is the greatest possible probability that the Lions will win and Tigers will play during the season?
Choices:
60%
70%
72%
80%
Answer: B
Question: If A and B are two events such that P (A) = 1/2, P (B) = 3/4 and P (A n B) = 3/8,
find P (not A and not B).
Choices:
B)1/8
C)1/9
D)1/10
E)2/11
Answer: A
Question: If b= (a-1)(a+2), then what is the least possible value of b?
Choices:
-9/4
2
1
0
Answer: A
Question: The batting average of a particular batsman is 60 runs in 46 innings. If the difference in his highest and lowest score is 140 runs and his average excluding these two innings is 58 runs, find his highest score.
Choices:
367
269
177
174
Answer: D
Question: There are 8 books in a shelf that consist of 2 paperback books and 6 hardback books. If 3 books are selected at random without replacement, how many different combinations are there that at least one paperback book is selected?
Choices:
36
50
55
60
Answer: A
Question: If a and y are integers and (15^a + 15^(a+1))/4^y = 15^y what is the value of a?
Choices:
2
4
5
Cannot be determined
Answer: A
Question: 6 points are marked on a straight line and another 7 points are marked on a second straight line with no points in common. How many triangles can be constructed with vertices from among the above points?
Choices:
9
196
21
14
Answer: A
Question: The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
Choices:
225m
245m
250m
260m
Answer: B
Question: Express 25 mps in kmph?
Choices:
88
90
27
21
Answer: B
Question: Jim rides the bus to and from school each day. A one-way trip is 8.12 kilometers. How many kilometers does he travel in 3 days?
Choices:
56km
25.9km
48.72km
50km
Answer: C
Question: If the number of 53,n87, where n represents the hundreds digit, is a multiple of 3, then the value of n could be which of the following?
Choices:
1
2
3
4
Answer: A
Question: A box contains 20 electric bulbs, out of which 4 are defective. Two bulbs are chosen at random from this box. The probability that at least one of these is defective is
Choices:
7/19
5/19
4/19
None of these
Answer: A
Question: The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is?
Choices:
Rs. 4000
Rs. 5000
Rs. 6000
Rs. 7000
Answer: A
Question: The mean of 50 observations is 200. But later he found that there is decrements of 34 from each observations. what is the the updated mean is ?
Choices:
166
190
198
199
Answer: A
Question: X and Y run a 50 m race,where X beats Y by 5 m. To do a favor to Y, X starts 5 m behind the starting line in a second 50 m race. Both run at the same previous speed. Which of the following is true?
Choices:
X Beats Y by 0.5 m
Y Beats X by 10m
Y Beats X by 11m
Y Beats X by 11m
Answer: A
Question: What is the perimeter of a regular polygon with sides of length 15 cm and internal angles measuring 144° each?
Choices:
108 cm
120 cm
132 cm
150 cm
Answer: D
Question: 78, 64, 48, 30 10, (...)
Choices:
-12 number
2
8
6
Answer: A
Question: Working together, John and Jack can type 10 pages in one hour. If they would be able to type 12 pages in one hour if Jack increases his typing speed by 25%, what is the ratio of Jack's normal typing speed to that of John?
Choices:
1/3
4/1
1/4
5/4
Answer: B
Question: 3^x + 9*3^-x = 6 What is the value of x?
Choices:
1
0
1/2
-1/2
Answer: A
Question: A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Euro 1000 more than D, what is B's share?
Choices:
Euro 3000
Euro 5000
Euro 4000
Euro 2000
Answer: D
Question: The average age of a husband and his wife was 23 years at the time of their marriage. After five years they have a one-year old child. The average age of the family now is :
Choices:
23
19
18
17
Answer: B
Question: The sum of money will be double itself in 10years and simple interest find rate of interest?
Choices:
10%
20%
25%
30%
Answer: A
Question: Chocolate bars are sold in packages of four or nine only. If Mark bought 97 chocolate bars exactly, what could be the number of large packs Mark bought?
Choices:
4
8
9
13
Answer: C
Question: For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing success. It is rumored that in a match between 2 teams A and B, Paul picks A with the same probability as A's chances of winning. Let's assume such rumors to be true and that in a match between Ghana and Bolivia, Ghana the stronger team has a probability of 2/3 of winning the game. What is the probability that Paul will correctly pick the winner of the Ghana-Bolivia game?
Choices:
4/9
5/9
2/3
1/3
Answer: B
Question: If Susan takes 8 seconds to run y yards, how many minutes will it take her to run x yards at the same rate?
Choices:
8x/(60y)
60xy/8
xy/480
480x/y
Answer: A
Question: A, B, C enter into a partnership investing Rs. 35,000, Rs. 45,000 and Rs. 55,000 respectively. The respective shares of A, B, C in annual profit of Rs. 40,500 are?
Choices:
Rs. 10,500, Rs. 13,500, Rs. 16,500
Rs. 10,500, Rs. 73,500, Rs. 16,500
Rs. 10,500, Rs. 18,500, Rs. 16,500
Rs. 40,500, Rs. 13,500, Rs. 16,500
Answer: A
Question: In a can, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 6 : 5. Find the capacity of the can?
Choices:
44
53
32
62
Answer: A
Question: Two taps can separately fill a cistern 5 minutes and 10 minutes respectively and when the waste pipe is open, they can together fill it in 15 minutes. The waste pipe can empty the full cistern in?
Choices:
8
6
4.2
5
Answer: C
Question: A plant manager must assign 8 new workers to one of five shifts. She needs a first, second, and third shift, and two alternate shifts. Each of the shifts will receive 2 new workers. How many different ways can she assign the new workers?
Choices:
336
350
486
540
Answer: A
Question: What percent of 250 is 45?
Choices:
18%
25%
40%
250%
Answer: A
Question: Six fencers participate in a fencing championship. Assuming all competitors have an equal chance of winning, how many possibilities are there with respect to how a first-place and second-place medal can be awarded?
Choices:
24
25
30
36
Answer: C
Question: If x is an integer and (x)(x^2)(x^3)(x^10) is positive, which of the following could be negative?
Choices:
(x)(x^3)
(x)(x)
x + x^9
3x^2
Answer: C
Question: Charlene's annual bonus is calculated in the following manner: Charlene receives 20 percent of her first $11,000 in sales and 40 percent of her sales in excess of $11,000. If Charlene received a bonus of $7,300, what were her annual sales?
Choices:
$ 12,750
$ 24,000
$ 26,000
$ 28,000
Answer: A
Question: A security guard at a certain store is instructed to check the receipt of one out of every five customers as they are leaving the store. If, on the guard's shift,
customers leave the store, how many different samples of customers could have been selected to have their receipts checked?
Choices:
10
59
90
100
Answer: A
Question: The revenue from sales items in 1996 increases by x percent, compared in 1995 and the revenue in 1997 decreases by x percent, compared in 1996. If the revenue from sales items in 1997 decreases by 4 percent, compared in 1995, what is the value of x?
Choices:
15
20
30
35
Answer: B
Question: What is the greatest prime factor of (15!14!) + (15!16!)?
Choices:
71
181
211
241
Answer: D
Question: A motorcyclist goes from Bombay to Pune, a distance of 224 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
Choices:
1:5
4:7
1:1
1:8
Answer: B
Question: Three grades of milk are 1 percent, 2 percent and 4 percent fat by volume. If x gallons of the 1 percent grade, y gallons of the 2 percent grade, and z gallons of the 3 percent grade are mixed to give x+y+z gallons of a 1.5 percent grade, what is x in terms of y and z?
Choices:
y + 4z
2y + 3z
3y + z
3y + 4.5z
Answer: A
Question: A total of 30 percent of the geese included in a certain migration study were male. If some of the geese migrated during the study and 30 percent of the migrating geese were male, what was the ratio of the migration rate for the male geese to the migration rate for the female geese? [Migration rate for geese of a certain sex = (number of geese of that sex migrating) / (total number of geese of that sex)]
Choices:
7/12
2/3
1
8/7
Answer: C
Question: If 6th March, 2004 is sunday, what was the day of the week on 6th March, 2005?
Choices:
monday
friday
sunday
wednesday
Answer: A
Question: 3 no.'s A, B & C are in the ratio of 12:15:25. If sum of these no.'s is 312, find the ratio between the difference of B & A & the difference of C & B.
Choices:
3 : 10
4 : 7
4 : 11
5 : 9
Answer: A
Question: On a trip covering 450 km, a bicyclist travels the first 300 km at 20 km per hour and the remainder of the distance at 15 km per hour. What is the average speed, in km per hour, for the entire trip?
Choices:
17.0
17.5
18.0
18.5
Answer: C
Question: A speaks truth in 75% of cases and B in 80% of cases. In what percentage of cases are they likely to contradict each other, narrating the same incident
Choices:
35%
40%
45%
50%
Answer: A
Question: In a certain mathematical activity, we have five cards with five different prime numbers on them. We will distribute these five cards among three envelope: all could go in any envelope, or they could be broken up in any way among the envelopes. Then in each envelop, we find the product of all the cards in that envelope: that is the “number” of the envelope. An envelope containing no cards has the number 1. We then put the three envelope numbers in order, from lowest to highest, and that is our set. How many different T sets can be produced by this process?
Choices:
41
125
243
512
Answer: A
Question: A set of football matches is to be organized in a "round-robin" fashion, i.e., every
participating team plays a match against every other team once and only once. If 10
matches are totally played, how many teams participated?
Choices:
5
10
7
8
Answer: A
Question: Which one of the following numbers is exactly divisible by 11?
Choices:
415624
415647
425624
415836
Answer: A
Question: A woman has four blouses of different colors, three skirts of different colors, and two different pairs of shoes. She refuses to wear her pink blouse with her green skirt. How many different blouseskirt-shoe combinations could she wear?
Choices:
12
22
17
18
Answer: B
Question: The area of a parallelogram is 128sq m and its altitude is twice the corresponding base. Then the length of the base is?
Choices:
8
7
6
1
Answer: A
Question: Sam wrote 7 letters on Tuesday and 3 letters on Wednesday. How many letters did he write on average per day?
Choices:
4
21
3
5
Answer: D
Question: If the radius of a circle that centers at the origin is 5, how many W points on the circle have integer coordinates?
Choices:
8
12
15
20
Answer: B
Question: Raman mixed 27 kg of butter at Rs. 150 per kg with 36 kg butter at the rate of Rs. 125 per kg. At what price per kg should he sell the mixture to make a profit of 40% in the transaction?
Choices:
287
190
188
112
Answer: B
Question: If 15 and 20 are the lengths of two sides of a triangular region, which of the following can be the length of the third side?
I. 10
II. 20
III. 40
Choices:
II only
I and II only
II and III only
I, II, and III
Answer: B
Question: A train of 35 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.5 km long?
Choices:
3
4
9
3.6
Answer: D
Question: A car traveling with 5/7 of its actual speed covers 42 km in 1 hr 40 min 48 sec. What is the actual speed of the car?
Choices:
25
27
30
35
Answer: D
Question: A bag marked at $125 is sold for $120. The rate of discount is?
Choices:
25%
20%
50%
4%
Answer: D
Question: There are r red marbles, b blue marbles and w white marbles in a bag. Write the ratio of the number of blue marbles to the total number of marbles in terms of r, b and w.
Choices:
r/ (r + b + w)
w / (r + b + w)
r / (r + b )
r / ( b + w)
Answer: A
Question: If u, v, and w are three different positive integers whose sum is prime, which of the following statements could be true?
Choices:
Each of u + 3, v + 3, and w + 3 is prime.
Each of u + v, u + w, and v + w is prime.
Each of u, v, and w is prime.
u + v = w
Answer: C
Question: The 106th term of the series a, b , b, c, c, c, d, d, d, d, e, e, e, e, e, .... is
Choices:
k
l
o
r
Answer: C
Question: A person took some amount with some interest for 2 years, but increase the interest for 1%, he paid Rs.140/- extra, then how much amount he took?
Choices:
s.6000/-
s.4000/-
s.7000/-
s.8000/-
Answer: C
Question: What is the ratio of 4/7 to the product 3*(7/3)?
Choices:
4:49
3:21
1:7
3:49
Answer: A
Question: A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:
Choices:
3%
5%
8%
9%
Answer: B
Question: How many natural numbers are there between 23 and 100 which are exactly divisible by 6 ?
Choices:
13
87
49
63
Answer: A
Question: The present ratio of students to teachers at a certain school is 70 to 1. If the student enrollment were to increase by 50 students and the number of teachers were to increase by 5, the ratio of students to teachers would then be 25 to 1. What is the present number of teachers?
Choices:
2
10
12
15
Answer: A
Question: workers decided to raise Rs.3 lacs by equal contribution from each. Had they contributed Rs.50 eachextra, the contribution would have been Rs.3.60 lacs . How many workers were they?
Choices:
230
1200
560
590
Answer: B
Question: If |b| ≥ 1 and x= -| a| b, then which one of the following is necessarily true?
Choices:
a -xb ≥ 0
a -xb > 0
a -xb ≤ 0
None of these
Answer: A
Question: Mr. loyd wants to fence his Square shaped land of 120Sqft each side.If a pole is laid every 12ft how many poles do he need?
Choices:
30
40
50
60
Answer: B
Question: In a zoo, the ratio of the number of cheetahs to the number of pandas is 1 : 3 and was the same five years ago. If the increase in the number of cheetahs in the zoo since then is 3, then what is the increase in the number of pandas?
Choices:
3
9
10
15
Answer: B
Question: The area of a circle is increased by 800%. By what percent has the radius of the circle increased?
Choices:
400%
300%
600%
200%
Answer: D
Question: A pilotless cargo carrier brings water, air and dry food to a space station. A third of the cargo's weight is water and the ratio, by weight, of air to dry food is 2:3. If the cargo contains 1,800 pounds of water, how many pounds of air does it contain?
Choices:
1,300
1,440
3,000
3,240
Answer: B
Question: John found that the average of 15 numbers is 40. If 11 is added to each number then the mean of number is?
Choices:
51
65
78
64
Answer: A
Question: Two identical machines have the ability to produce both nuts and bolts. However, it takes 1 second to produce a bolt but 2 seconds to produce a nut. What is the fastest the two machines, working together, can produce 1,800 nuts and 1,800 bolts?
Choices:
1,500 seconds
1,750 seconds
2,700 seconds
3,000 seconds
Answer: C
Question: Vanessa, Mike and Sarah have missed a total of 17 days of school this year. Vanessa and Mike have missed 14 days total, and Mike and Sarah have missed 12 days total. How many days of school did Vanessa miss alone?
Choices:
4
5
2
3
Answer: B
Question: Suzie’s Discount Footwear sells all pairs of shoes for one price and all pairs of boots for another price. On Monday the store sold 22 pairs of shoes and 16 pairs of boots for $540. On Tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $720. How much more do pairs of boots cost than pairs of shoes at Suzie’s Discount Footwear?
Choices:
11
10
15
16
Answer: B
Question: Molly's age in 18 years will be five times her age six years ago. What is Molly's present age?
Choices:
9
10
12
14
Answer: C
Question: Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Choices:
1234
1345
1450
1635
Answer: D
Question: What is the difference between the local value of 1 and 2 in the number 2124?
Choices:
75
20
80
60
Answer: C
Question: The average age of 10 men increases by 2 years when two women are included in place of two men of ages 10 and 12 years. Find the average age of the women?
Choices:
21
30
41
37
Answer: A
Question: Gambling with 4 dice, what is the probability of getting an even sum?
Choices:
1/2
2/3
1/4
1/3
Answer: A
Question: How many seconds will a 500 meter 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 63 km/hr?
Choices:
266
500
277
121
Answer: B
Question: Two trains of equal length, running with the speeds of 60 and 40 kmph, take 50 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions?
Choices:
10 sec
77 sec
99 sec
67 sec
Answer: A
Question: The ratio of 4 seconds to 8 hours
Choices:
1:6000
1:600
1:7200
1:500
Answer: C
Question: At the end of the first quarter, the share price of a certain mutual fund was 25 percent higher than it was at the beginning of the year. At the end of the second quarter, the share price was 55 percent higher than it was at the beginning of the year. What was the percent increase in the share price from the end of the first quarter to the end of the second quarter?
Choices:
24%
30%
33%
40%
Answer: A
Question: 21 ball numbered 1 to 21. A ballis drawn and then another ball is drawn without replacement.
Choices:
3/31
9/42
4/49
4/51
Answer: B
Question: What is the HCF of 2/3, 4/15 and 6/5
Choices:
2/45
4/15
8/45
2/15
Answer: D
Question: The ratio of cost price to the market price of an article is 4: 5. What is the profit percentage if the ratio of the profit percentage on selling the article to the discount allowed on it is 5: 4?
Choices:
12%
12.5%
15%
16%
Answer: B
Question: A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
Choices:
66
20
26
29
Answer: B
Question: A boat can move upstream at 25 kmph and downstream at 35 kmph, then the speed of the current is?
Choices:
5
9
3
2
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
18
22
23
Answer: A
Question: A man swims downstream 30 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water?
Choices:
8
9
4
2
Answer: A
Question: 80 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part?
Choices:
35
36
40
52
Answer: A
Question: Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?
Choices:
10
28
27
19
Answer: A
Question: Working simultaneously at their respective constant rates, Machines A and B produce 800 nails in x hours. Working alone at its constant rate, Machine A produces 800 nails in e hours. In terms of x and e, how many hours does it take Machine B, working alone at its constant rate, to produce 800 nails?
Choices:
y/(x+y)
xy/(x+y)
xy/(x-y)
xe/(e-x)
Answer: D
Question: A boat can travel with a speed of 24 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 56 km downstream
Choices:
2 hours
5 hours
6 hours
7 hours
Answer: A
Question: A, B, C together started a business. A invested Rs.1000 for 5 months B invested Rs.1500 for 6 months and C Rs.2000 for 3 months. If they get a total profit of Rs.3000. Find the share of A?
Choices:
750
2777
2999
17212
Answer: A
Question: Rs.320 contained in a box consists of one rupee, 50 paisa and 25 paisa coins in the ratio 4:5:6. What is the number of 25 paisa coins?
Choices:
266
120
240
267
Answer: C
Question: Tough and Tricky questions: Work/Rate Problems.
If it takes 70 workers 3 hours to disassemble the exhibition rides at a small amusement park, how many hours would it take 15 workers to do this same job?
Choices:
14
7
7/3
9/7
Answer: A
Question: Tom found a box of 220 baseball cards. Being a thoughtful older brother, he wanted to save at least 40 percent of the cards for himself and split the remaining cards evenly among his 4 younger brothers. What is the lowest possible number of cards that Tom can save for himself that will also allow each of his 4 younger brothers to get an equal number of cards?
Choices:
110
116
118
122
Answer: A
Question: A train passes a man standing on the platform. If the train is 130 meters long and its speed is 72 kmph, how much time it took in doing so?
Choices:
6 Â½ sec
9 Â½ sec
8 Â½ sec
7 Â½ sec
Answer: A
Question: In an election between two candidates, 10% of votes are were declares invalid. First candidate got 1800 votes which were 60% of the total valid votes . The total number of votes enrolled in that election was?
Choices:
10000
13000
14000
15000
Answer: A
Question: John had a stock of 1000 books in his bookshop. He sold 20 on Monday, 120 on Tuesday, 200 on Wednesday,250 on Thursday and 300 on Friday. What percentage of the books were not sold?
Choices:
74%
76%
62%
89%
Answer: D
Question: There are cats got together and decided to kill the mice of 999919. Each cat kills equal number of mice and each cat kills more number of mice than cats there were. Then what are the number of cats?
Choices:
991,1001
991,1009
791,1009
931,1009
Answer: B
Question: In an election between two candidates, 75 % of the voters cast their votes, out of which 2% of the votes were declared invalid. A candidate got 9261 votes which were 75% of the total valid votes. Find the total number of votes.
Choices:
16800
16700
15700
15000
Answer: A
Question: Two trains which have lengths of 150 m are running on the same parallel lines in opposite directions with the speed of 80 kmph and 70 kmph respectively. In what time will they cross each other completely?
Choices:
7.1
6.8
7.2
6.4
Answer: C
Question: In the parking lot there are 38 vehicles, 21 of them are buses, and the rest are cars. The color of 23 vehicles is red, of which 15 are buses. How many cars can be found in the parking lot which are not colored red?
Choices:
8
9
10
11
Answer: B
Question: A person spends 1/5th of his income on the education of his children, and 20% of the remaining on food. If he is left with Rs.576 find his income?
Choices:
900
988
917
902
Answer: A
Question: On a certain plane, 2/5 of the passengers speak Hindi and 3/4 speak Hebrew. If all of the passengers on the plane speak at least one of these languages, what is the smallest number of passengers that could be on the plane?
Choices:
15
60
74
80
Answer: B
Question: The true discount on Rs. 2562 due 4 months hence is Rs. 122. The rate percent is?
Choices:
38
15
36
81
Answer: B
Question: In a particular 100 meter race, 4 athletes are participating that are numbered 1-4. In how many ways can athlete #4 finish ahead of #2 provided there's no tie among the athletes?
Choices:
12
16
20
24
Answer: A
Question: There are 4 more women than there are men on a local co-ed softball team. If there are a total of 20 players on the team, what is the ratio of men to women?
Choices:
8/12
4/16
6/10
4/10
Answer: A
Question: How much greater is the combined area in square inches of the front and back of a rectangular sheet of paper measuring 11 inches by 13 inches than that of a rectangular sheet of paper measuring 6.5 inches by 11 inches?
Choices:
87%
100%
187%
200%
Answer: B
Question: Sudhir started a business with Rs.20,000 and after 8 months Ravi joined him with Rs.60,000. If they get a profit of Rs.28000 then ratio of their shares will be
Choices:
2:3
4:3
3:4
1:1
Answer: D
Question: The amount of time that three people worked on a special project was in the ratio of 4 to 3 to 5. If the project took 120 hours, how many more hours did the hardest working person work than the person who worked the least?
Choices:
30 hours
20 hours
26 hours
32 hours
Answer: B
Question: Certain stocks in January were 10% less than they were in February and 20% greater than they were in March. What was the percentage decrease in the stocks from February to March?
Choices:
10%
20%
25%
50%
Answer: C
Question: If a man walks at the rate of 5 kmph, he misses a train by 7 minutes. However, if he walks at the rate of 6 kmph, he reaches the station 5 minutes before the arrival of the train. Find the distance covered by him to reach the station.
Choices:
6 km
12 km
9 km
7 km
Answer: A
Question: A, B and C shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 14 months respectively. What was the ratio of their investments?
Choices:
12:24:28
20:22:12
20:49:32
None of these
Answer: C
Question: a father is 5 times as faster as son in doing a work. Father completes a particular work in 40 days before son.If both of them work together in how many days can they complete the work?
Choices:
8.33days
10.33days
7.33days
6.33days
Answer: A
Question: The radius of a sphere is increased by 10%. The surface area increases by?
Choices:
21%
41%
51%
none of these
Answer: A
Question: the hiker walking at a constant rate of 4 miles per hour is passed by a cyclist traveling in the same direction along the same path at 15 miles per hour. the cyclist stops to wait for the hiker 5 minutes after passing her, while the hiker continues to walk at her constant rate, how many minutes must the cyclist wait until the hiker catches up?
Choices:
55/4
25
14
13
Answer: A
Question: Two pipes P and Q can fill a cistern in 12 and 17 minutes respectively. Both are opened together, but at the end of 3 minutes the first is turned off. How much longer will the cistern take to fill?
Choices:
11 1/4 min
12 3/4 min
11 1/5 min
11 7/4 min
Answer: B
Question: If 4 (A's capital) = 6 (B's capital) = 10 (C's capital), then out of a profit of Rs. 930, C will receive
Choices:
180
900
287
271
Answer: A
Question: Two numbers are in the ratio of 5:7. If 25 be subtracted from each, they are in the ratio of 35:59. Find the numbers?
Choices:
60,86
60,82
60,84
60,83
Answer: C
Question: Three persons A, B and C divide a certain amount of money such that A's share is Rs.4 less than half of the total amount. B's share is Rs.8 more than half of what is left and finally C takes the which is Rs.14. Find the total amount they initially had with them?
Choices:
66
80
99
61
Answer: B
Question: A student chose a number, multiplied it by 5, then subtracted 138 from the result and got 102. What was the number he chose?
Choices:
48
130
140
150
Answer: A
Question: A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current?
Choices:
1.5 kmph
13 kmph
6.5 kmph
7:3kmph
Answer: A
Question: Let S be the set of values which can be written as the sum of 5 consecutive perfect squares.
What is the smallest element of S which is divisible by 17?
Choices:
255
522
355
664
Answer: A
Question: Joe went on a diet 4 months ago when he weighed 212 pounds. If he now weighs 188 pounds and continues to lose at the same average monthly rate, in approximately how many months will he weigh 160 pounds?
Choices:
3.5
4
4.5
5
Answer: C
Question: At a recent small town election for mayor a total of 975 votes were cast for the four candidates, the winner exceeding his opponents by 53, 79 and 105 votes, respectively. How many votes were cast for the candidate in fourth place?
Choices:
178
198
166
194
Answer: B
Question: Find the value of x from the below equation? : x^2-16 = 0
Choices:
16
-4
1
-8
Answer: B
Question: The compounded ratio of (2 : 3), (6: 11) and (11 :2) is :
Choices:
5:9
2:1
11:24
None
Answer: B
Question: Excluding stoppages, the speed of a bus is 90 km/hr and including stoppages, it is 84 km/hr. For how many minutes does the bus stop per hour?
Choices:
4 min
8 min
6 min
5 min
Answer: A
Question: In how many ways can the letters of the word ABCdef be rearranged such that the lower case letters always appear together?
Choices:
255
299
144
169
Answer: C
Question: Positive Integer A gives the remainder of 9 when divided by another positive Integer B. If A/B = 47.45, what is the value of B?
Choices:
75
48
20
12
Answer: C
Question: If Mason is now twice as old as Gunther was 5 years ago, and G is Gunther's current age in years, which of the following represents the sum of Mason and Gunther's ages 10 years from now?
Choices:
3G+8
3G+15
3G+10
3G+9
Answer: C
Question: A sum of Rs. 1000 amounts to Rs. 1200 in 4 years at the rate of simple interest. What is the rate of interest?
Choices:
9%
5%
6%
2%
Answer: B
Question: If a(a - 6) = 7and b(b -6) = 7, where a ≠ b, then a + b =
Choices:
−2
6
9
48
Answer: B
Question: Molly is rolling a number cube with faces numbered 1 to 6 repeatedly. When she receives a 2, she will stop rolling the cube. What is the probability that Molly will roll the die less than 3 times before stopping?
Choices:
11/36
25/216
91/216
27/128
Answer: A
Question: On a Monday in a certain restaurant, 30 percent of the 180 customers ordered the daily special. On Tuesday, only 10 percent of the 120 customers ordered the special. For the two days combined, what percent of the customers ordered the daily special?
Choices:
16%
18%
22%
30%
Answer: C
Question: Find large number from below question The difference of two numbers is 1015. On dividing the larger number by the smaller, we get 9 as quotient and the 15 as remainder
Choices:
1324
1245
1140
1635
Answer: C
Question: Albert buys 4 horses and 9 cows for Rs. 13,400. If he sells the horses at 10% profit and the cows at 20% profit, then he earns a total profit of Rs. 1880. The cost of a horse is:
Choices:
Rs.2000
Rs.2089
Rs.2067
Rs.2098
Answer: A
Question: Three coins are tossed. Find the probability of at most 2 tails ?
Choices:
1/4
2/3
7/8
3/8
Answer: C
Question: A trader marked the selling price of an article at 40% above the cost price. At the time of selling, he allows certain discount and suffers a loss of 1%. He allowed a discount of :
Choices:
7.8 %
11 %
12.5 %
None
Answer: A
Question: Two friends P & Q started a business investing amounts in the ratio of 5 : 6. R joined them after six months investing an amount equal to that of Qâ€™s amount. At the end of the year 28% profit was earned which was equal to 98,000. What was the amount invested by R?
Choices:
1,05,000
75,000
Data inadequate
None of these
Answer: B
Question: A man sold 20 articles for $60 and gained 20%. How many articles should he sell for $40 to incur a loss 20%?
Choices:
20
40
50
48
Answer: A
Question: If three people (A,B,C) want to raise $30000.00 capital to start a business as below: A raises half the amount of B and C raises 3 times the amount of A, how much A will raise?
Choices:
A - $5000
C - $5010
D - $5015
E - $5020
Answer: A
Question: In a room filled with 6 people, all 6 people have exactly 2 siblings in the room. If two individuals are selected from the room at random, what is the probability that those two individuals are NOT siblings?
Choices:
3/5
4/7
5/6
7/12
Answer: A
Question: What is the sum of the greatest common factor and the lowest common multiple of 72 and 36?
Choices:
150
145
108
112
Answer: C
Question: The timing of a college is from 12 p.m to 4.20 p.m. Six lectures are held in the given duration and a break of 5 minutes after each lecture is given to the students. Find the duration of each lecture.
Choices:
45 minutes
30 minutes
39 minutes
44 minutes
Answer: C
Question: The length of the room is 10m and width is 20m. Find the cost of paving the floor by slabs at the rate of Rs.400 per sq meter?
Choices:
80000
60000
50000
20000
Answer: A
Question: I bought two books; for Rs.480. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a gain ?
Choices:
B)200
C)438
D)290
E)427
Answer: A
Question: 10% people of a village in Sri Lanka died by bombardment, 15% of the remainder left the village on account of fear. If now the population is reduced to 2907, how much was it in the beginning?
Choices:
A)3800
C)4400
D)4500
E)4600
Answer: A
Question: Which of the following cannot be divided by 3 (the sum of 3 different prime numbers)?
Choices:
10
14
15
19
Answer: A
Question: A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2460?
Choices:
27789
2777
14000
2881
Answer: C
Question: In a stack of cards, 9 cards are blue and the rest are red. If 2 cards are to be chosen at random from the stack without replacement, the probability that the cards chosen will both be blue is 9/11. What is the number of cards in the stack?
Choices:
10
12
15
18
Answer: A
Question: Mrs. Evans gave a test to her freshmen economics class, which has 50 students enrolled and 25 of them answered question 1 correctly. If 20 answered question 2 correctly and 20 did not take the test then how many answered both questions correctly?
Choices:
22
21
20
19
Answer: C
Question: Sally has a gold credit card with a certain spending limit, and a platinum card with twice the spending limit of the gold card. Currently, she has a balance on her gold card that is 1/3 of the spending limit on that card, and she has a balance on her platinum card that is 1/7 of the spending limit on that card. If Sally transfers the entire balance on her gold card to her platinum card, what portion of her limit on the platinum card will remain unspent?
Choices:
29/42
17/30
19/30
11/15
Answer: A
Question: Tom and Jerry are running on the same road towards each other. If Tom is running at a speed of 2.5 meters per second and Jerry is running 36% slower, how much time will it take them to meet if the initial distance between the two is 50 meters and Tom started running 20 seconds before Jerry did?
Choices:
two minutes.
44 seconds.
20 seconds.
12 seconds.
Answer: C
Question: If x is to be chosen at random from the set {1, 2, 3, 4} and y is to be chosen at random from the set {5, 6, 7}, what is the probability that xy will be even?
Choices:
1/3
1/2
2/3
5/6
Answer: C
Question: If a man buys 25 lollipops for $100 and sold them for $3 dollars determine his loss.
Choices:
$ 35
$ 52
$ 60
$ 25
Answer: D
Question: 4242 × 9999 = ?
Choices:
42415758
42415752
42415753
42415754
Answer: A
Question: The number of livestock in a farm at the beginning of year 2000 was 120,000. During the year, the number increased by p%. During the next year 2001, there was a famine and the number decreased by q%. A census at the end of year 2001 revealed that the number of livestock in the farm was 120,000. Which of the following expressions is correct?
Choices:
q > p
p > q
With the exception of 1 instance, p will be equal to q
There is no relation between p and q
Answer: B
Question: A fellow borrowed a certain sum of money at 5% per annum at simple interest and in 5 years the interest amounted to Rs.750 less than the sum lent. What was the sum lent?
Choices:
1000
1250
1060
1110
Answer: A
Question: Find the value of 3.5 x [(3.6 x 0.48 x 2.50) / (0.12 x 0.09 x 0.5)]
Choices:
500
2800
1600
None
Answer: B
Question: A computer system uses alphanumeric case sensitive characters for its passwords. When the system was created it required users to create passwords having 3 characters in length. This year, it added the option of creating passwords having 4 characters in length. Which of the following gives the expression for the total number of passwords the new computer system can accept?
Assume there are 62 unique alphanumeric case sensitive characters.
Choices:
62^5
62(62^4)
63(62^4)
63(62^3)
Answer: D
Question: If the length of a rectangle is increased by 20% and the breadth is reduced by 20%, what will be the effect on its area?
Choices:
6% increase
5% decrease
4% decrease
None of these
Answer: C
Question: How many seconds will a 500 meter 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 63 km/hr?
Choices:
69
30
31
32
Answer: B
Question: Two trains 120 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Choices:
10.7
10.3
10.08
10.2
Answer: C
Question: A faucet, partially on, fills a bucket with water at a rate of r buckets per minute. If the faucet is turned up it will fill the same bucket at a rate r + 2 buckets per minute, and the same bucket would fill in 2/3 minute less. What is the value of r?
Choices:
4
3
2
1
Answer: D
Question: An automobile manufacturer offers a station wagon with either a 10-cylinder engine or a 8-cylinder engine and with either a manual transmission or an automatic transmission. A trailer hitch is also offered, but only on a station wagon with a 10-cylinder engine. How many combinations of the five options listed does the manufacturer offer for its station wagon?
Choices:
24
30
34
36
Answer: A
Question: An article is bought for Rs.600 and sold for Rs.500, find the loss percent?
Choices:
86 2/3%
66 2/3%
16 2/3%
26 2/3%
Answer: C
Question: What is the 124th digit to the right of the decimal point in the decimal form of 24/44?
Choices:
9
6
4
2
Answer: C
Question: Two pipes can fill a tank in 18 minutes and 6 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
Choices:
1/6
1/11
1/10
1/12
Answer: A
Question: A and B can do a piece of work in 3 days, B and C in 4 days, C and A in 6 days. How long will C take to do it?
Choices:
77
24
55
71
Answer: B
Question: The average age of a group of 18 students was 20. The average age increased by 2 years when two new students joined the group. What is the average age of the two new students who joined the group?
Choices:
30 years
40 years
32 years
None of these
Answer: B
Question: A person spent Rs. 7,540 from his salary on food and 5,690 on house rent. After that he was left with 60% of his monthly salary. What is his monthly salary ?
Choices:
34,075
23,075
33,075
32,075
Answer: C
Question: The ratio between the length and the breadth of a rectangular park is 3 : 1. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 min, then the area of the park (in sq. m) is?
Choices:
134561 m
156787 m
15450 m
120000 m
Answer: D
Question: A man’s speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. the man’s speed against the current is :
Choices:
8.5 km/hr
10 km/hr
12.5 km/hr
None of these
Answer: B
Question: 22 buckets of water fill a tank when the capacity of each bucket is 13.5 litres. How many buckets will be required to fill the same tank if the capacity of each bucket is 9 litres?
Choices:
33
60
Data inadequate
None of these
Answer: A
Question: Set A consists of all the prime numbers between 6 and 42. What is the range of set A?
Choices:
34
16.6
17
23
Answer: A
Question: Excluding stoppages, the speed of a bus is 86 kmph and including stoppages, it is 76 kmph. For how many minutes does the bus stop per hour?
Choices:
16 min
20 min
7 min
40 min
Answer: C
Question: A 3 by 4 rectangle is inscribed in circle. What is the circumference of the circle?
Choices:
3π
5π
4π
10π
Answer: B
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:
10.20 p.m
10.50 p.m
10.38 p.m
10.40 p.m
Answer: B
Question: 189. The inside dimensions of a rectangular wooden box
are 2 inches by 4 inches by 6 inches. A cylindrical
canister is to be placed inside the box so that it stands
upright when the closed box rests on one of its six
faces. Of all such canisters that could be used, what is
the radius, in inches, of the one that has maximum
volume?
Choices:
2
5
6
8
Answer: A