antoine-444/aqua_rat_dataset huggingface dataset:
Question: Hector runs a one-product widget shop. Each month, his fixed costs, whether he produces anything or not, amount to x dollars. The marginal cost of producing and selling one widget is a constant y dollars, regardless of the number he produces. He generally can sell widgets for s dollars each. What is the minimum number of widgets he must produce, assuming he sells every widget he produces, to break even (neither make a profit nor incur a loss) in a given month?
Choices:
x/(s - y)
x
x/s
x/y
Answer: A
Question: 123 school girls are to be transported in small vans. Each van can carry 8 girls only. What is the smallest possible number of vans that are needed to transport all 123 school girls?
Choices:
16 vans
12 vans
17 vans
10 vans
Answer: A
Question: A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12500 after a year?
Choices:
2881
2887
3750
2212
Answer: C
Question: If x is equal to the sum of the integers from 30 to 50, inclusive, and y is the number of even integers from 30 to 50, inclusive, what is the value of x + y ?
Choices:
811
830
850
851
Answer: D
Question: A certain sum of money at simple interest amounted Rs.840 in 10 years at 3% per annum, find the sum?
Choices:
973
268
646
365
Answer: C
Question: The owner of a wood furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8339 for a computer table, then what was the cost price of the computer table?
Choices:
6532
6725
6874
6972
Answer: B
Question: A discount of 10 percent on an order of goods followed by a discount of 40 percent amounts to
Choices:
the same as one 46 percent discount
the same as one 36 percent discount
the same as one 30 percent discount
the same as one 25 percent discount
Answer: A
Question: A foreign language club at Washington Middle School consists of n students, 3/5 of whom are boys. All of the students in the club study exactly one foreign language. 1/3 of the girls in the club study Spanish and 4/5 of the remaining girls study French. If the rest of the girls in the club study German, how many girls in the club, in terms of n, study German?
Choices:
n/3
4n/75
2n/15
n/15
Answer: B
Question: A telephone number contains 10 digit, including a 3-digit area code. Bob remembers the area code and the next 5 digits of the number. He also remembers that the remaining digits are not 0, 1, 2, 7, or 8. If Bob tries to find the number by guessing the remaining digits at random, the probability that he will be able to find the correct number in at most 2 attempts is closest to which of the following ?
Choices:
2/625
50/625
75/625
90/625
Answer: B
Question: The value of a stock is X dollars. On Sunday the stock's value grew by half of its value, but on Monday its value dropped to a third of its new value. What is the stock's value at the end of Monday?
Choices:
X.
2X/3
X/3
X/4.
Answer: A
Question: Jim travels the first 3 hours of his journey at 60 mph speed and the remaining 5 hours at 24 mph speed. What is the average speed of Jim's travel in mph?
Choices:
37.5mph
38.5mph
39.5mph
36.5mph
Answer: A
Question: If p is a positive integer and 10p/96 is an integer, then the minimum number ofuniqueprime factors p could have is H:
Choices:
H=2
H=3
H=4
H=5
Answer: A
Question: 5358 x 51 = ?
Choices:
273258
273268
283258
262268
Answer: A
Question: How many possible integer values are there for x if |4x - 3| < 6 ?
Choices:
Two
Three
Four
Five
Answer: B
Question: what is the distance between two parallel chords of length 32 cm and 24 cm in a circle of radius 20 cm ?
Choices:
3 or 21
4 or 28
2 or 14
5 or 14
Answer: B
Question: 0.0006688/0.0000150 x 19.85 = ?
Choices:
900
950
1000
2000
Answer: A
Question: Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
Choices:
10 a.m
17 a.m
76 a.m
11 a.m
Answer: A
Question: The velocity of a falling object in a vacuum is directly proportional to the amount of time the object has been falling. If after 7 seconds an object is falling at a speed of 90 miles per hour, how fast will it be falling after 12 seconds?
Choices:
156 miles per hour
216 miles per hour
1080 miles per hour
5400 miles per hour
Answer: A
Question: In a recent election, Geoff received 1 percent of the 6,000 votes cast. To win the election, a candidate needed to receive more than x% of the vote. If Geoff needed exactly 3000 more votes to win the election, what is the value of x ?
Choices:
54
56
51
63
Answer: C
Question: When you multiply a number by 4 and
then subtract 7, the result is the same as
if you first subtracted 7 from the same
number and then multiplied by 11. What
is the number?
Choices:
13
19
31
10
Answer: D
Question: As a treat for her two crying children, a mother runs to the freezer in which she has five cherry ice pops, three orange ice pops, and four lemon-lime ice pops. If she chooses two at random to bring outside to the children, but realizes as she runs out the door that she cannot bring them different flavors without one invariably being jealous of the other and getting even more upset, what is the probability that she has to return to the freezer to make sure that they each receive the same flavor?
Choices:
1/6
5/18
1/999
5/6
Answer: C
Question: How many integerskgreater than 100 and less than 1200 are there such that if the hundreds and the units digits ofkare reversed, the resulting integer is k+99?
Choices:
60
70
80
100
Answer: D
Question: A mall charges 50 cents for the first hour of parking and $4 for each additional hour until the customer reaches 4 hours, after that the parking fee is $2 per hour. If a Rahul parked his car in the mall for 7 hours and 30 minutes, how much is he going to pay?
Choices:
$25
$23.5
$24.5.
$25.5
Answer: A
Question: Tom and John traveled in the same direction along the equal route at their constant speed rates of 15 km per hour and 10 km per hour, respectively. After 15 minutes Tom passed John, Tom reaches a certain Gas station, how many L minutes it takes John to reach the station?
Choices:
6 min
7 and 1/2 min
8 min
10 min
Answer: B
Question: A train traveling at 180 kmph crosses a platform in 30 seconds and a man standing on the platform in 12 seconds. What is the length of the platform in meters?
Choices:
360 meters
420 meters
600 meters
Cannot be determined
Answer: C
Question: A certain gallery is hanging a series of 8 paintings. All the paintings will be exhibited in a row along a single wall. Exactly 2 of the paintings are on panel, the remainder are on canvas. In how many ways can the paintings be exhibited if the works on panel must be the second and sixth in the row?
OE
Choices:
1440
122
80
16
Answer: A
Question: Perimeter of the backwheel =9 feet,front wheel=7 feet on a certain distance ,the front wheel gets 10 revolution more than the back wheel.what is the distance
Choices:
315
270
18191
112
Answer: A
Question: In how many ways can 5 apples (identical) be distributed among 4 children? (Some children may get no apples.)
Choices:
56
200
256
312
Answer: A
Question: A box contains seven bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good.
Choices:
34/35
125/126
125/186
125/128
Answer: A
Question: When a certain number X is divided by 143, the remainder is 45. Which of the following numbers, if added to X, would result in a number divisible by 12?
Choices:
21
34
47
6
Answer: D
Question: In a family 13 people eat only vegetarian, 8 people eat only non veg., 6 people eat both veg and non veg.. How many people eat veg in the family?
Choices:
11
19
31
21
Answer: B
Question: A certain fraction has the same ratio to 1/33, as 3/4 does to 7/11. What is this certain fraction?
Choices:
1/18
1/21
1/25
1/28
Answer: D
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 science books were there at the starting?
Choices:
670
700
800
890
Answer: C
Question: In how many ways can 5 boys be allotted four different HOSTEL ROOMS such that none of the rooms are empty and all the 5 boys are accommodated?
Choices:
240
280
290
300
Answer: A
Question: A person travels from X to Y and vice versa. How long will it take to travel both the ways by bus?
(A) It takes 15 hours in travelling from X to Y by train and returning by bus.
(B) The distance between two places is 360 km.
(C) He can save 3 hrs if he travels both the ways by train.
Choices:
B and C together
A and C together
Any two of them
All statements are required
Answer: B
Question: what is the remainder when 788863203 is divided by 990
Choices:
693
769
639
469
Answer: A
Question: A man purchased 5 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?
Choices:
A)250
C)450
D)470
E)500
Answer: A
Question: The standard serial numbers for a temporary ID card in a institution are 2 letters followed by 5 digits. How many different ID cards are possible if letters and digits can be repeated?
Choices:
26 × 25 × 24 × 10 × 9 × 8 × 7
26³ × 9 × 9 × 9 × 9
26 × 25 × 24 × 10 000
26 x 26 x 100 000
Answer: D
Question: A number when divided by 20 leaves 6 as a remainder. What will be the remainder if the number is divided by 19?
Choices:
7
5
11
13
Answer: A
Question: If p and q are positive integers each greater than 1, and 15(p+1)=29(q+1), what is the least possible value of p+q?
Choices:
42
44
46
none
Answer: A
Question: If (1/2)^22 (1/81)^k = 1/18^22, then k =
Choices:
12
16
24
11
Answer: D
Question: A circle is inscribed in a Triangle of side 6cm. And a square is inscribed in the Circle. What is the area of square?
Choices:
6 cm^2
5 cm^2
7 cm^2
8 cm^2
Answer: A
Question: For any numbers a and b, a#b = ab(7 − b). If a and a#b both represent positive numbers, which of the following could be a value of b?
Choices:
6,5,4,
6,5,4,3,
6,5,4,3,2
6,5,4,3,2,1
Answer: D
Question: Mr. Thomas invested an amount of 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be 3508, what was the amount invested in Scheme B?
Choices:
6400
7200
7500
None
Answer: A
Question: 4 different airplanes owned by a rock band will be refueling today at the same airport. There are 2 larger planes carrying people and 2 smaller planes carrying equipment. All tanks are empty and will need to be filled completely. The 2 smaller tanks hold 60 liters each and the larger tanks are 50% bigger. Fuel is .50 cents a liter and there is a charge of $100 service for each plane. How much will it cost to fill all 4 planes?
Choices:
$500
$525
$550
$575
Answer: C
Question: The ratio between the length and the breadth of a rectangular plot is 7 : 5. If the perimeter of the plot is 432 metres, what is its area?
Choices:
11260 sq.metres
11280 sq.metres
11340 sq.metres
None of these
Answer: C
Question: A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
Choices:
16 sec
21 sec
11 sec
18 sec
Answer: A
Question: The number of boxes in a warehouse can be divided evenly into 9 equal shipments by boat or 24 equal shipments by truck. What is the smallest number of boxes that could be in the warehouse?
Choices:
33
72
81
162
Answer: B
Question: The length of a room is 5.5 m and width is 3.75 m. Find the cost of paying the floor by slabs at the rate of Rs. 800 per sq.metre
Choices:
16500
27889
23778
29982
Answer: A
Question: By selling a house for Rs.45000, it was found that 1/4 of the outlay was gained, what ought the selling to price to have been in order to have lost 5 p.c?
Choices:
38000
38028
38019
34200
Answer: D
Question: 9 friends bought a building together for 1 million dollars. If the each person in the entire group has to pay the same amount and none of them have bills smaller than $1, how much money would they each have to pay?
Choices:
$1,000,001
$1,000,004
$1,000,007
$1,000,009
Answer: D
Question: Of the 55 cars on a car lot, 40 have air-conditioning, 25 have power windows, and 12 have both air-conditioning and power windows. How many of the cars on the lot have neither air-conditioning nor power windows?
Choices:
8
10
2
18
Answer: C
Question: In a tree, 3/5 of the birds are parrots while the rest are toucans. If 1/3 of the parrots are female and 3/4 of the toucans are female, what fraction of the birds in the tree are male?
Choices:
1/2
3/5
3/10
7/10
Answer: A
Question: there is four different color cloth strip.how many different flag you can make using these strip?if you want to to make multicolour flag then you must use different strip horizontally.
Choices:
64
48
120
24
Answer: A
Question: The difference between the local value and the face value of 7 in the numerical 32675149 is
Choices:
64851
5149
69993
None of them
Answer: C
Question: 7, 35, 56, 91, 126
In the sequence above, each term is related with the others. Which of the following could not be a term in the sequence?
Choices:
398
322
686
847
Answer: A
Question: John makes $60 a week from his job. He earns a raise andnow makes $70 a week. What is the % increase?
Choices:
16.66%
17.8%
19%
21%
Answer: A
Question: Rahul went to a shop and bought things worth Rs. 45, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choices:
B)19.9
C)20.9
D)21.9
E)39.7
Answer: D
Question: A pipe fills a pool in 3.5 hours. If the flow of water is changed so that the pipe's rate is halved, then how long will it take for the pipe to fill 2/3 of the pool?
Choices:
4 hours and 40 minutes
2 hours and 20 minutes
7 hours
2/21 hours
Answer: A
Question: A train 200 m long can cross an electric pole in 20 sec and then find the speed of the train?
Choices:
271
72
27
36
Answer: D
Question: A certain sum of money amounts to Rs 1008 in 2 years and to Rs 1164 in 3 years. Find the sum and the rate of interest.
Choices:
13%
12%
19%
None of these
Answer: A
Question: If abc = b^3 , which of the following must be true?
I. ac = b^2
II. b = 0
III. ac = 1/2
Choices:
III
II
I
none
Answer: D
Question: A Train requires 10 seconds to pass a pole while it requires 30 seconds to cross a stationary train which is 600 mtrs long. Find the speed of the train.
Choices:
120 kmph
108 kmph
100 kmph
98 kmph
Answer: B
Question: The radius of a wheel is 14.6 cm. What is the distance covered by the wheel in making 100 resolutions?
Choices:
704 m
90.524 m
706 m
91.688 m
Answer: D
Question: By investing in 1623% stock at 64, one earns Rs. 1600. The investment made is
Choices:
s. 7500
s. 5640
s. 6144
s. 6760
Answer: C
Question: An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of:
Choices:
620
820
740
720
Answer: D
Question: Praveen starts business with Rs.3500 and after 5 months, Hari joins with Praveen as his partner. After a year, the profit is divided in the ratio 2 : 3. What is Hari’s contribution in the capital?
Choices:
Rs.8000
Rs.8500
Rs.9000
Rs.6000
Answer: C
Question: Which of the following values is the greatest
Choices:
b) 22% of 78
c) 33% of 67
d) 55% of 56
e) 55% of 45
Answer: C
Question: The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.8400. If his salary for the month of May is Rs.6500, find his salary for the month of January?
Choices:
2876
4900
2981
2711
Answer: B
Question: A rectangular photograph is surrounded by a border that is 1 inch wide on each side. The total area of the photograph and the border is M square inches. If the border had been 4 inches wide on each side, the total area would have been (M + 108) square inches. What is the perimeter of the photograph, in inches?
Choices:
36
16
40
42
Answer: B
Question: A shopkeeper purchased 70 kg of potatoes for Rs. 420 and sold the whole lot at the rate of Rs. 6.40 per kg. What will be his gain percent?
Choices:
2 1/3 %
6 2/3 %
8 1/8 %
8 1/9 %
Answer: B
Question: At an examination in which full marks were 500. A got 10% less than B, B got 25% more than C and C got 20% less than D. If A got 360marks, what percentage of full marks was obtained by D?
Choices:
80%
100%
120%
140%
Answer: A
Question: Which is better investment: 11% stock at 143 or 9 3/4% stock at 117?
Choices:
9 3/4% stock at 117
Both are equally good
Cannot be compared, as the total amount of investment is not given
None
Answer: A
Question: Anil can do a work in 15 days while Sunil can do it in 25 days. How long will they take if both work together?
Choices:
8 4/9 days
9 3/8 days
6 3/8 days
none of these
Answer: B
Question: A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.18000. A's share is?
Choices:
6299
6000
6018
60012
Answer: B
Question: The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 7 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
Choices:
s.6342
s.4518
s.4530
s.4517
Answer: A
Question: What is the probability that you will get a sum of 8 when you throw three dice simultaneously?
Choices:
21/6^3.
25/6^3.
27/6^3.
29/6^3.
Answer: A
Question: In a certain code language, “ORANGE” is written as “NTETOO”. How would “BLACK” be written in that language ?
Choices:
ANEIS
GIKHK
HOUH
AHKSS
Answer: A
Question: If 50% of x equals the sum of y and 20, then what is the value of x–2y?
Choices:
40
60
80
90
Answer: A
Question: The speed at which a man can row a boat in still water is 6.5 kmph. If he rows downstream, where the speed of current is 2.5 kmph, what time will he take to cover 90 metres?
Choices:
36seconds
26 seconds
18 seconds
6.5 seconds
Answer: A
Question: If -4 < x < 7 and -5 < y < 3, which of the following specifies all the possible values of xy?
Choices:
-42 < xy < 24
-28 < xy < 18
-24 < xy < 21
-35 < xy < 20
Answer: D
Question: Four circular cardboard pieces, each of radius 7cm are placed in such a way that each piece touches two other pieces. The area of the space encosed by the four pieces is
Choices:
28
42
72
11
Answer: B
Question: When 28 is divided by the positive integer s, the remainder is 1. What is the sum of all the possible values of s for which this is true?
Choices:
3
9
30
39
Answer: D
Question: A man takes 3 hours 45 minutes to row a boat 10 km downstream of a river and 2 hours 30 minutes to cover a distance of 3 km upstream. Find the speed of the current.
Choices:
1/2 km/hr
3/4 km/hr
4 km/hr
None of these
Answer: B
Question: if At what time between 7 & 2 will the hands of a watch point in opposite directions?
Choices:
50 4/11 min past 4
50 4/81 min past 7
50 4/81 min past 2
50 4/11 min past 6
Answer: A
Question: A and B can do a piece of work in 7 days. With the help of C they finish the work in 5 days. C alone can do that piece of work in?
Choices:
878
30
88
11
Answer: B
Question: In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 600 m?
Choices:
25 m
127.5 m
32m
56m
Answer: B
Question: An urn contains 5 black and 3 white balls. Two balls are drawn from the urn one after the other
without replacement. What is the probability that both drawn balls are black?
Choices:
3/7
5/14
3/5
2/7
Answer: B
Question: Set S consists of integers {4, 7, 10, 14, 15}. If integer n is included in the set, the average (arithmetic mean) of set S will increase by 50%. What is the value of integer n?
Choices:
32
36
40
44
Answer: C
Question: What is least possible value of |23 - 7y| is
Choices:
0
2
5
9
Answer: A
Question: find the terms which do not contain 7 between 1000 and 9999
Choices:
9000
8500
8800
8900
Answer: A
Question: If the sum of six numbers is between 135 and 164, then the average (arithmetic mean) of the six numbers could be which of the following?
Choices:
20.5.
25.5.
31.25.
32.5.
Answer: B
Question: When is |y-8| = 8-y?
Choices:
y<0
y>8
y<8
y<=8
Answer: D
Question: Sum of the squares of three numbers is 522 and the sum of their products taken two at a time is 131. Find the sum?
Choices:
22
25
27
28
Answer: D
Question: What number fits best in the missing place?
_	4	5	3	5
9	5	7	10	3
Choices:
8
4
5
6
Answer: B
Question: A man rows his boat 84 km downstream and 48 km upstream, taking 2 hours each time. Find the speed of the stream?
Choices:
5 kmph
9 kmph
8 kmph
1 kmph
Answer: B
Question: How many of the positive factors of 25 , 150 and how many common factors are there in numbers?
Choices:
4
3
5
1
Answer: B
Question: When n is divided by 12, the remainder is 2. What is the remainder when 4n is divided by 5?
Choices:
2
3
4
5
Answer: B
Question: A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 o'clock, the true time is?
Choices:
4pm
5pm
6pm
7pm
Answer: A
Question: The measure of the side of a square is quadrupled. If x represents the perimeter of the original square, what is the value of the new perimeter?
Choices:
4x
9x
12x
27x
Answer: A
Question: A train travels from Albany to Syracuse, a distance of 100 miles, at the average rate of 50 miles per hour. The train then travels back to Albany from Syracuse. The total travelling time of the train is 5 hours and 24 minutes. What was the average rate of speed of the train on the return trip to Albany?
Choices:
31.25
32
34
36
Answer: A
Question: What is the present worth of Rs. 396 due in 2 years at 5% simple interest per annum?
Choices:
277
120
360
371
Answer: C
Question: If x is less than y by 45% then y exceed x by:
Choices:
25%
81.81%
66.66%
None of these
Answer: B
Question: Meg and Bob are among the 4 participants in a cycling race. If each participant finishes the race and no two participants finish at the same time, in how many different possible orders can the participants finish the race so that Meg finishes ahead of Bob?
Choices:
12
60
90
120
Answer: A
Question: If GAVE is coded as 4657 and BAT is coded as 229. How is GATE coded?
Choices:
4697
4976
7496
4796
Answer: A
Question: Last year the price per share of Stock N increased by x percent and the earnings per share of Stock N increased by y percent, where x is greater than y. By what percent did the ratio of price per share to earnings per share increase, in terms of x and y?
Choices:
(100+y) %
100*(x-y)%
100*(x-y)/(100+y) %
(x-y)/(100+y) %
Answer: C
Question: What is the sum of all three digit integers formed using the digits 1, 2, and 3 (repetition is allowed)
Choices:
5980
5992
5990
5994
Answer: D
Question: A trader mixes 26 kg of rice at Rs. 10 per kg with 30 kg of rice of other variety at Rs. 20 per kg and sells the mixture at Rs. 20 per kg. His profit percent is:
Choices:
30.23%
8%
10%
None of these
Answer: A
Question: Aram’s car was fined when he gave Joe and Peter a ride, so they decided to help Aram pay the fine. Joe paid $3 more than 1/4 of the fine and Peter paid $3 less than 1/3 of the fine, leaving pay $4 less than 1/2 the fine to complete the payment. What fraction of the fine did Aram pay?
Choices:
$15
$20
$28
$48
Answer: B
Question: The number of sailors on a ship is 82% more than the number of officers. The ratio of sailors to officers would be
Choices:
47:20
47:25
22:25
91:50
Answer: D
Question: Two trains of equal length, running with the speeds of 60 and 40 kmph, take 40 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:
16 sec
13 sec
67 sec
8 sec
Answer: D
Question: When positive integer x is divided by 11, the quotient is y and the remainder is 4. When 2x is divided by 6, the quotient is 3y and the remainder is 5. What is the value of 7y – x ?
Choices:
1
0
-1
-2
Answer: C
Question: A cycle is bought for Rs.900 and sold for Rs.1125, find the gain percent?
Choices:
20%
80%
30%
25%
Answer: D
Question: Find the sum The difference between the compound and S.I. on a certain sum of money for 6 years at 10% per annum is Rs.80 of money?
Choices:
1200
4800
3600
8400
Answer: B
Question: A person crosses a 600 m long street in 5 minutes, What is his speed in km per hour?
Choices:
7.2
2.3
3.2
1.1
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:
350 m
300 m
240 m
none
Answer: C
Question: Two trains, each 100 m long, moving in opposite directions, cross other in 6 sec. If one is moving twice as fast the other, then the speed of the faster train is?
Choices:
17 km/hr
90 km/hr
77 km/hr
46 km/hr
Answer: B
Question: The length of a rectangular floor is more than its breadth by 200%. If Rs.441 is required to paint the floor at the rate of Rs.3/sq m, what would be the length of the floor?
Choices:
18
20
21
24
Answer: C
Question: Find the odd man out. 1, 8, 27, 64, 125, 196, 216, 343
Choices:
196
216
1
146
Answer: A
Question: The average age of a committee of 8 members is 40 years. A member aged 55 years retired and his place was taken by another member aged 39 years . The average age of
present committee is;
Choices:
38 years
36 years
35 years
37 years
Answer: A
Question: What is the unit digit in the product (3^65 x 6^59 x 7^71)?
Choices:
12
69
32
4
Answer: D
Question: __2A
x__B
____
CC
In the multiplication problem above, A, B, and C represent distinct digits. If the sum of A and B is equal to 3, what is the value of C?
Choices:
5
4
3
2
Answer: D
Question: An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq m?
Choices:
4082.38
4082.78
4082.4
4082.94
Answer: C
Question: Father is 5 times faster than son. Father completes a work in 40 days before son. If both of them work together, when will the work get complete?
Choices:
8 1/3
8 1/8
8 1/6
8 1/5
Answer: A
Question: Twenty four men can do a work in 42 days. How many men are required to complete the work in 21 days?
Choices:
10
50
40
48
Answer: D
Question: Siddharth wants to borrow Rs.5000 at rate of interest 6% p.a. at S.I and lend the same amount at C.I at same rate of interest for two years. What would be his income in the above transaction?
Choices:
s.21.68
s.21.18
s.21.98
s.18
Answer: D
Question: Solve x2 â€“ 7x = 0
Choices:
0,7
2,7
3,7
4,7
Answer: A
Question: Pumps A, B, and C operate at their respective constant rates. Pumps A and B, operating simultaneously, can fill a certain tank in 2 hours; pumps A and C, operating simultaneously, can fill the tank in 3/2 hours; and pumps B and C, operating simultaneously, can fill the tank in 2 hours. How many hours does it take pumps A, B, and C, operating simultaneously, to fill the tank.
Choices:
1/2
1/4
1
5/6
Answer: B
Question: Raffle tickets numbered consecutively from 1 through 250 are placed in a box. What is the probability that a ticket selected at random will have a number with a hundreds digit of 2 ?
Choices:
1/5
33/83
99/250
100/249
Answer: A
Question: Income of a company doubles after every one year. If the initial income was Rs. 4 lakhs.What would be the income after 5 years?
Choices:
1.28 crores
2.98 crores
3.78 crores
4.29 crores
Answer: A
Question: A cistern 6m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:
Choices:
49
27
66
19
Answer: A
Question: X and Y began business with Rs.10000 and Rs.8000 after 6 months, X advances Rs.2000 and Y advances Rs.2000 more.
At the end of the year, their profits amounted to Rs.2000 find the share of X and Y respectively.
Choices:
900,1100
1200,800
800,1200
1100, 900
Answer: D
Question: We bought 85 hats at the store. Blue hats cost $6 and green hats cost $7. The total price was $530. How many green hats did we buy?
Choices:
B)20
C)40
D)42
E)44
Answer: A
Question: The greatest common factor of 16 and the positive integer n is 4, and the greatest common factor of n and 45 is 3. Which of the following could be the greatest common factor of n and 120?
Choices:
8
12
24
30
Answer: B
Question: If M and N are positive integers that have remainders of 1 and 3, respectively, when divided by 4, which of the following could NOT be a possible value of M+N?
Choices:
52
36
28
10
Answer: D
Question: In his pocket, a boy has 3 red marbles, 5 blue marbles, and 6 green marbles. How many will he have to take out of his pocket to ensure that he has taken out at least one of each color?
Choices:
11
12
13
14
Answer: B
Question: A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by :
Choices:
7
9
11
13
Answer: C
Question: Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a man in the slower train in 27 seconds. Find the length of the faster train?
Choices:
270 m
220 m
260 m
250 m
Answer: D
Question: If the sum of five consecutive even positive integers is A, then the sum of the next five even consecutive integers in terms of A is:
Choices:
A+10
A+25
A+50
2A + 5
Answer: C
Question: Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is?
Choices:
17/70
17/90
17/20
17/23
Answer: C
Question: Abby and Bobby type at constant rates of 70 words per minute and 60 words per minute, respectively. Bobby begins typing before Abby and has typed 600 words when Abby begins typing at 1:30 pm. If they continue typing at their respective rates, at what time will Abby have typed exactly 200 more words than Bobby?
Choices:
2:50 PM
2:00 PM
2:10 PM
2:20 PM
Answer: A
Question: A man swims downstream 72 km and upstream 45 km taking 3 hours each time; what is the speed of the current?
Choices:
3.5
4.5
2.5
5.5
Answer: B
Question: A trader sells 85 meters of cloth for Rs. 8925 at the profit of Rs. 25 per metre of cloth. What is the cost price of one metre of cloth?
Choices:
80
90
26
11
Answer: A
Question: If 1 > 1 - ab > 0, which of the following must be true?
I. a/b > 0
II. ab < 1
III. a/b < 2
Choices:
II only
III only
I and II only
I and III only
Answer: C
Question: {-10, -6, -5, -4, -2.5, -1, 0, 2.5, 4, 6, 7, 10}
A number is to be selected at random from the set above. What is the probability that the number will be a solution to the equation (x-2)(x+1)(2X+5) = 0?
Choices:
1/12
1/4
1/3
1/2
Answer: A
Question: If the average (arithmetic mean) of 5 positive temperatures is x degrees Fahrenheit, then the sum E of the 3 greatest of these temperatures, in degrees Fahrenheit, could be
Choices:
4x
5x/3
3x/2
3x/5
Answer: A
Question: What will be the result of 12^4+ 3 +2^9 +3 - 8/2 ?
Choices:
14
145
69
74
Answer: C
Question: A pet store holds cats and dogs. If the difference between the number of cats and the number of dogs is 7. What could be the ratio of Cats to dogs in the pet store?
Choices:
1:4
28:35
2:5
4:6
Answer: B
Question: The average of 10 numbers is 40.2. Later it is found that two numbers have been wrongly copied. The first is 16 greater than the actual number and the second number added is 13 instead of 31. Find the correct average.
Choices:
40.4
40.6
40.8
None of the above
Answer: A
Question: When the positive integer A is divided by 9 and 5, the remainder is 3 and 4, respectively. When the positive integer B is divided by 9 and 5, the remainder is 3 and 4, respectively. Which of the following must be a factor of A-B?
Choices:
36
40
45
50
Answer: C
Question: The 8 spokes of a custom circular bicycle wheel radiate from the central axle of the wheel and are arranged such that the sectors formed by adjacent spokes all have different central angles, which constitute an arithmetic series of numbers (that is, the difference between any angle and the next largest angle is constant). If the largest sector so formed has a central angle of 80°, what fraction of the wheel’s area is represented by the third smallest sector?
Choices:
1/36
1/18
1/12
1/9
Answer: C
Question: A quadratic function f(x) attains its minimum value of -15 at x=3. If f(0)=5, find the value of f(9).
Choices:
65
-25
75
25
Answer: A
Question: A circular garden is surrounded by a fence of negligible width along the boundary. If the length of the fence is 1/4 of th area of the garden. What is the radius of the circular garden?
Choices:
2
4
8
16
Answer: C
Question: If the horse can run 10 miles/hour, how many days would it take for a horse to run from New York City to Washington. D.C.? (240 miles from NYC to D.C.)
Choices:
0.8
1
1.2
1.4
Answer: B
Question: Anil can do a work in 15 days while Sunil can do it in 25 days. How long will they take if both work together?
Choices:
7 3/8 days
9 3/8 days
8 3/8 days
11 3/8 days
Answer: B
Question: 2^2*3^3*2^2*3^6 =
Choices:
2^9*3^4
2^4*3^9
5^8
6^10
Answer: B
Question: Trapezoid JKLM in the x-y plane has coordinates J = (–2, –4), K = (–2, 1), L = (6, 7), and M = (6, –4). What is its perimeter?
Choices:
34
38
40
42
Answer: A
Question: In a garden, carrots are planted in rows. In each row there are as many carrots as the number of rows in the garden. If each plant attracts as many bunnies as the number of carrots in each row and if the total number of bunnies is n, then :
Choices:
n is an odd number
n is an even number
n is a perfect cube
none
Answer: C
Question: The ratio of investments of A and B is 8 : 7 and the ratio of their yearend profits is 20 : 21. If B invested for 12 months, then find the period of investment of A:
Choices:
8 months
10 months
12 months
None
Answer: B
Question: What is the place value of 7 in the numeral 7529
Choices:
3400
3500
3000
7000
Answer: D
Question: A woman complete a journey in 30 hours. She travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.
Choices:
216 km.
314 km.
224 km.
672 km.
Answer: D
Question: Find the face value of 9 in 79864
Choices:
900
90000
9000
9
Answer: D
Question: A certain automobile company’s best-selling model is the Speedster. The Speedster, like all of their other models, comes in coupe and convertible styles. 2/3 of the current inventory is Speedsters, of which 4/5 are convertibles. If there are 50 vehicles that are not Speedsters, how many Speedster convertibles are there?
Choices:
48
60
80
90
Answer: C
Question: A table is bought for Rs.600/- and sold at a loss of 10% find its selling price
Choices:
Rs.530/-
Rs.540/-
Rs.600/-
Rs.700/-
Answer: B
Question: speed of a bus is 54kmph and including stoppages, it is 45kmph. For how many minsdoes the bus stop per hour?
Choices:
10 min
20 min
25 min
40 min
Answer: A
Question: The no 2.52, when written as a fraction and reduced to lowest terms,the sum of the numeratr n denominator is :
Choices:
141
29
349
359
Answer: C
Question: On a certain day, Joey, the ice-cream seller sold his ice creams to four different kids in a manner that each of the kids purchased half of the remaining ice creams and half ice-cream more.
If we tell you that the fourth kid bought just a single ice cream, can you find out how many ice creams were sold by Joey that day?
Choices:
15
22
12
8
Answer: A
Question: If f(y)=y^2 and y is a positive integer, which of the following CANNOT be the value of f(f(y))?
Choices:
1296
256
350
16
Answer: C
Question: A can complete the job in 5 hours and B can complete the same job in 3 hours. A works for 1 hour and then B joins and both complete the job. What fraction of the job did B complete
Choices:
1/8
1/2
5/6
8/9
Answer: A
Question: If x is an integer and (x)(x^2)(x^3)(x^6) is positive, which of the following could be negative?
Choices:
(x)(x^3)
(x)(x)
x + x^7
3x^2
Answer: C
Question: A six-sided die is rolled once. What is the probability that the number rolled is greater than 4?
Choices:
2 / 6
3 / 3
4 / 5
2 / 4
Answer: A
Question: Sam’s car was fined when he gave Joe and Peter a ride, so they decided to help Sam pay the fine. Joe paid $4 more than 1/4 of the fine and Peter paid $4 less than 1/3 of the fine, leaving pay $5 less than 1/2 the fine to complete the payment. What fraction of the fine did Sam pay?
Choices:
$25
$35
$40
$45
Answer: A
Question: The product of the first seven positive multiples of three is closest to which of the following powers of 10?
Choices:
10^8
10^7
10^6
10^5
Answer: B
Question: Calculate the number of tanks of 50x50x20m size needed to discharge crude oil from a cargo ship of volume 120000 m3 and is 90% full, if the tanks can only be filled up to 95%.
Choices:
2
3
4
5
Answer: B
Question: A bag contains 6 black and 9 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Choices:
4/3
4/5
4/9
3/5
Answer: D
Question: Average age of boys in a class is 16 years and average age of girls is 15 years, what is the average age of all
Choices:
15
16
Cant be computed
17
Answer: C
Question: The C.P of 10 pens is equal to the S.P of 5 pens. Find his gain % or loss%?
Choices:
50%
30%
60%
20%
Answer: A
Question: The first photo shoot takes 3 minutes long and then the following shoots are taken at a rate of 23 seconds/shoot as the model is already at the scene. What is the maximum number of photo shoots taken under 10 minutes ?
Choices:
14
15
16
19
Answer: D
Question: The average age of a group of 10 students is 20 years. If 2 more students join the group, the average age increases by 1 year. The average age of the new students is
Choices:
23
19.5
20
22.5
Answer: A
Question: Three candidates contested in an election and received 6136, 7636, 11628 votes respectively. What is the percentage of the total votes did the winning candidate get?
Choices:
46%
57%
51%
62%
Answer: A
Question: A sock drawer contains seven socks, each one a different solid color. The colors of the socks are red, orange, yellow, green, blue, indigo, and violet. If the socks are laid next to each other, how many different arrangements of socks could be made?
Choices:
240
1,024
2,520
5,040
Answer: D
Question: A farming field can be ploughed by 6 tractors in 4 days. When 6 tractors work together, each of them ploughs 120 hectares a day. If two of the tractors were moved to another field, then the remaining 4 tractors could plough the same field in 5 days. How many hectares a day would one tractor plough then?
Choices:
184
122
144
166
Answer: C
Question: (1/1*2)+(1/2*3)+(1/3*4)+(1/4*5)+ .............+(1/99*100)=
Choices:
99/100
97/100
96/100
95/100
Answer: A
Question: The length of a rectangular floor is more than its breadth by 200%. If Rs. 324 is required to paint the floor at the rate of Rs. 3 per sq m, then what would be the length of the floor?
Choices:
37
18
38
39
Answer: B
Question: How many numbers amongst the numbers 5 to 30 are there which are exactly divisible by 6 but not by 4?
Choices:
1
2
3
More than 3
Answer: C
Question: For any positive integer n, n>1, thelengthof n is the number of positive primes (not necessary distinct) whose product is n. For ex, the length of 50 is 4, since 50=2x5x5. What is the greatest possible length of a positive integer less than 1000.
Choices:
9
8
7
6
Answer: B
Question: By selling an shirt for $300, a shop keeper gains 20%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is:
Choices:
14
8
12
10
Answer: B
Question: A car covers a distance of 720 km in 6 hours. Find its speed?
Choices:
7778
266
288
120
Answer: D
Question: A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.1 per sq m?
Choices:
675
320
430
820
Answer: A
Question: By investing in 16 2/3% stock at 64, one earns Rs. 1500. The investment made is:
Choices:
Rs. 5760
Rs. 7500
Rs. 9600
Rs. 8600
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 30%. What is the mark up on the cost price?
Choices:
19%
25%
16.66%
9%
Answer: A
Question: All the page numbers from a book are added, beginning at page 1. However, one page number was mistakenly added twice. The sum obtained was 1000. Which page number was added twice?
Choices:
45
10
12
11
Answer: B
Question: A lent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 2200 in all from both of them as interest. The rate of interest per annum is:
Choices:
10%
7%
8%
9%
Answer: A
Question: Three cubes of metal whose edges are 5, 10 and 15 cm respectively, are melted and one new cube is made. Find the edge of the new cube?
Choices:
77
66
16.5
99
Answer: C
Question: Cubes with each side one inch long are glued together to form a larger cube. The larger cube's face is painted with red color and the entire assembly is taken apart. 26 small cubes are found with no paints on them . How many of unit cubes have at least one face that is painted red?
Choices:
72
86
98
99
Answer: D
Question: Fresh grapes contain 85% water by weight and raisins obtained by drying fresh grapes contain 25% water by weight. How many kgs of fresh grapes are needed to get 20kgs of raisins?
Choices:
64kgs
100 kgs
65 kgs
70 kgs
Answer: B
Question: Find the probability that the sum of n numbers is divisible by n,assuming n is very large no.
Choices:
1/2
3/4
None of these
Can't be determined.
Answer: A
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 120 m and they cross each other in 12 sec, then the speed of each train is?
Choices:
35
36
37
38
Answer: B
Question: An employee’s annual salary was increased 30%. If her old annual salary equals $30,000 , what was the new salary?
Choices:
$25,000
$20,000
$35,000
$39,000
Answer: D
Question: Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
Choices:
10
8
12
15
Answer: A
Question: For every positive even integer n, the function h(n) is defined to be the product of all the even integers from 4 to n, inclusive. If p is the smallest prime factor of h(100) +4, then p is?
Choices:
between 10 and 20
between 20 and 30
between 30 and 40
4
Answer: D
Question: Johnny makes $2.35 per hour at his work. If he works 5 hours, how much money will he earn?
Choices:
$54
$28.50
$12
$11.75
Answer: D
Question: The number of boys in a class is 2 times the number of girls. Which one of the following numbers cannot represent the total number of children in the class ?
Choices:
B)44
C)42
D)40
E)38
Answer: B
Question: On a certain scale of intensity, each increment of 30 in magnitude represents a tenfold increase in intensity. On this scale, an intensity corresponding to a magnitude of 165 is how many times an intensity corresponding to a magnitude of 125?
Choices:
100
400
1000
10 000
Answer: A
Question: The least number which should be added to 720 so that the sum is exactly divisible by 5,6,4 and 3 is :
Choices:
13
48
33
43
Answer: B
Question: A certain club has 6 members, including Harry. One of the 6 members is to be chosen at random to be the president, one of the remaining 5 members is to be chosen at random to be the secretary, and one of the remaining 4 members is to be chosen at random to be the treasurer. What is the probability that Harry will either be the secretary or the member chosen to be the treasurer?
Choices:
5/3
1
2/3
1/3
Answer: D
Question: In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:
Choices:
21/46
1/50
3/25
2/25
Answer: A
Question: By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 5 p.c?
Choices:
38000
27999
2776
198712
Answer: A
Question: A number is decreased by 10% and then increased by 10%. The number so obtained is 10 less than the original number. What was the oiginal number ?
Choices:
1000
1028
1039
1002
Answer: A
Question: Number of ways in which the letters of word GARDEN can be arranged with vowels in alphabetical order, is
Choices:
360
120
480
None
Answer: A
Question: If the remainder is 16 when the integer n is divided by 30, what is the remainder when 2n is divided by 15?
Choices:
2
4
6
8
Answer: A
Question: Find the one which does not belong to that group ?
Choices:
35
28
19
11
Answer: A
Question: A student has 8 trousers and 12 shirts. In how many different ways can the student select a trouser and a shirt?
Choices:
96
108
120
132
Answer: A
Question: The diagonals of a rhombus are 15 cm and 20 cm. Find its area?
Choices:
129
150
123
117
Answer: B
Question: Calculate the mean of each data set {9,10,11,7,13}
Choices:
5
8
9
10
Answer: D
Question: Two highways start from a point P and meet again at the point Q. Between P and Q there are 5 subways, joining the highways at 5 different places. How many different routes are possible for a journey from P to Q?
Choices:
16
24
32
64
Answer: D
Question: If m and n are positive integers and m^2 + n^2 = 89, what is the value of m^3 + n^3?
Choices:
224
320
512
637
Answer: D
Question: There are 9 people and 7 chairs. In how many different ways people can occupy the chairs?
Choices:
504
404
505
506
Answer: A
Question: Canister C is 1/2 full of water and canister D, which has twice the capacity of canister C, is 1/3 full of water. If the water in canister D is poured in canister C until canister C is completely full of water, canister D will still contain what fraction of its capacity of water?
Choices:
1/36
1/12
1/6
1/4
Answer: B
Question: A cistern 10 meters long and 4 meters wide contains water up to a depth of 1 meter 25 cm. What is the total area of the wet surface?
Choices:
55
65
75
85
Answer: C
Question: If set A={2,2,2,....,n times} , set B={4,4,4,4....m times} and set C={11,11,11...k time} , then in terms of m,n and k , how many possible subsets from sets A,B, and C can be created ?
Choices:
b) k^2(mn+n/m)
c) (1+n+m+mn)(k+1)
d) kmn(k+m+n)
e) None of the above.
Answer: B
Question: Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 2 days?
Choices:
1/6
1/4
1/9
2/6
Answer: C
Question: A woman named Susila started a business investing Rs. 25,000. Roja joined him after six months with an amount of Rs. 50,000 and Sachin joined them with Rs. 75,000 after another six months. The amount of profit earned should be distributed in what ratio among Susila , Roja and Sachin respectively, 3 years after Aman started the business ?
Choices:
12:15:16
42:45:56
3 : 5 : 6
12:15:18
Answer: C
Question: Tough and Tricky questions: Combinations.
Four students - 2 boys and 2 girls - are to sit side by side for a makeup exam. How many ways could they arrange themselves given that no two boys and no two girls can sit next to one another?
Choices:
8
72
240
720
Answer: A
Question: SCORE INTERVAL----------------NUMBER OF SCORES
50-59-------------------------- 2
60-69--------------------------10
70-79--------------------------16
80-89--------------------------5
90-99--------------------------2
The table above shows the distribution of test scores for a group of management trainees. Which score interval contains the median of the 35 scores?
Choices:
20th
22th
24th
18th(70-79)
Answer: D
Question: Ramu bought an old car for Rs. 36400. He spent Rs. 8000 on repairs and sold it for Rs. 68400. What is his profit percent?
Choices:
17%
18%
54%
13%
Answer: C
Question: What are the last two digits of 63*35*37*82*71*412
Choices:
30
40
70
80
Answer: D
Question: A train 360 m long runs with a speed of 45 km/hr. What time will it take to pass a platform of 240 m long?
Choices:
35 sec
44 sec
48 sec
none of these
Answer: C
Question: P and Q invested in a business. The profit earned was divided in the ratio 2 : 3. If P invested Rs 30000, the amount invested by Q is
Choices:
50000
45000
20000
60000
Answer: B
Question: If n = 2×3×5×7×11×23, then which of the following statements must be true?
I. n2 is divisible by 600
II. n + 19 is divisible by 19
III. is even n+4 / 2 = even
IV. n is divisible by 35
Choices:
b- II only
none and IV only
I and III only
e None
Answer: B