antoine-444/aqua_rat_dataset huggingface dataset:
Question: If the sales tax reduced from 3 1/2 % to 3 1/3%, then what difference does it make to a person who purchases an article with market price of Rs. 8400 ?
Choices:
Rs.16
Rs.14
Rs.10
Rs.18
Answer: B
Question: If 0.5% of A =80 paise, then the value of A is ?
Choices:
Rs. 160
Rs. 1.70
Rs. 4.25
None
Answer: A
Question: In the Biotechnology class of 2000, there were X graduates. 32 of the graduates found a job, 45 continued on to their second degree and 13 did both. If only 9 people didn't do both, What is X equal to?
Choices:
71
73
75
76
Answer: B
Question: The original price of a car was $30,000. Because the car owner thought he could get more money for the car, he set a new price by increasing the original price of the car by 5%. After a week, the car had not sold, so the owner discounted the new price by 5%, and the car was finally sold. What price was the car sold for?
Choices:
$29,925
$29,935
$29,945
$29,955
Answer: A
Question: Due to construction, the speed limit along an 9-mile section of highway is reduced from 55 miles per hour to 30 miles per hour. Approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ?
Choices:
B) 8
C) 10
D) 15
E) 8.19
Answer: D
Question: Points M(7,2) and N(5,14) lie on the xy - plane. What is the midpoint of line segment MN?
Choices:
(6,8)
(0, (136^(1/2))/2)
(3/2,0)
(1,5)
Answer: A
Question: When x is multiplied by 3, the result is 26 more than the result of subtracting x from 62. What is the value of x?
Choices:
-2
11
13
22
Answer: D
Question: What is remainder of the division (1425*1427*1429)/12?
Choices:
0
1
2
3
Answer: D
Question: Missing number in the series
4 9 20 43 90 185 376?
Choices:
185
759
195
180
Answer: B
Question: The roof of an apartment building is rectangular and its length is 4 times longer than its width. If the area of the roof is 1024 feet squared, what is the difference between the length and the width of the roof?
Choices:
40.
42.
48.
46.
Answer: C
Question: At present the age of the father is 3 times that of the age of the son. Three years hence the father's age would be 2 times that of his son. Find the present age of the father?
Choices:
18years
20years
16years
25years
Answer: A
Question: Pat and Cara begin running at the same time and they start at the same place on a straight path. Pat runs at 9 miles per hour, and Cara runs at 5 miles per hour. After 10 minutes, Pat stops to stretch. If it takes Pat 20 minutes to stretch and Cara continues to run during this time, how many minutes will it take Pat to catch up to Cara?
Choices:
15
18
21
24
Answer: A
Question: Tomy's age 16 years hence will be thrice his age four years ago. Find Tomy's present age?
Choices:
13 years
15 years
14 years
18 years
Answer: C
Question: Suppose son name is 120,his brother name is 150 and his mother name is 190.find out his father's name???
Choices:
220
230
240
250
Answer: A
Question: A man goes from A to B at a speed of 20 kmph and comes back to A at a speed of 30 kmph. Find his average speed for the entire journey?
Choices:
24 kmph
17 kmph
12 kmph
16 kmph
Answer: A
Question: 5301 x 13 =?
Choices:
31986
68910
53113
68913
Answer: D
Question: Tommy has a lot of Lego blocks, but only green and red blocks. There are four times as many green blocks as there are red blocks. If Tommy has Y Lego blocks, how many red blocks are there, in terms of Y.
Choices:
Y/3
Y/5
Y/4
Y/6
Answer: B
Question: Milk contains 5% water.What quantity of pure milk should be added to 10 litres of milk to reduce this to 2% ?
Choices:
7 litres
15 litres
Cannot be determined
None of these
Answer: B
Question: How many three letter words are formed using the letters of the word BREAK?
Choices:
B)360
C)720
D)120
E)480
Answer: C
Question: According to the formula F=9/5 (C) +32, if the temperature in degrees Farenheit (F) increases by 26, by how much does the temperature in degrees Celsius (C) increase?
Choices:
14.44
47
48 3/5
59
Answer: A
Question: The center of a circle is (5, -2). (5, 7) is outside the circle, and (2, -2) is inside the circle. If the radius, r, is an
integer, how many possible values are there for r?
Choices:
4
2
10
12
Answer: A
Question: When 100 is divided by positive integer x, the remainder is 3. What is the remainder when 197 is divided by x?
Choices:
3
4
6
8
Answer: A
Question: The prices of tea and coffee per kg were the same in june. In july the price of coffee shot up by 20% and that of tea dropped by 20%. if in july , a mixture containing equal quantities of tea and coffee costs 50/kg. how much did a kg of coffee cost in june ?
Choices:
50
80
100
120
Answer: A
Question: A train passes a station platform in 38 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:
220
240
250
270
Answer: D
Question: What two-digit number is less than the sum of the square of its digits by 13 and exceeds their doubled product by 5?
Choices:
99
26
73
None of the Above
Answer: A
Question: The length of the room is 4m and width is 5m. Find the cost of paving the floor by slabs at the rate of Rs.200 per sq meter?
Choices:
2000
4000
3000
6000
Answer: B
Question: Nina has exactly enough money to purchase 5 widgets. If the cost of each widget were reduced by $1.25, then Nina would have exactly enough money to purchase 8 widgets. How much money does Nina have?
Choices:
$16.7
$30
$36
$40
Answer: A
Question: At the beginning of the year, the ratio of boys to girls in high school X was 3 to 4. During the year, 10 boys and twice as many girls transferred to another high school, while no new students joined high school X. If, at the end of the year, the ratio of boys to girls was 4 to 5, how many boys were there in high school X at the beginning of the year?
Choices:
120
100
90
110
Answer: A
Question: If |m+n|=|m-n|, then m*n must be equal to:
Choices:
0
-2
-4
-5
Answer: A
Question: City A to city B, Andrew drove for 1 hour at 50 mph and for 3 hours at 60 mph. What was the average speed for the whole trip?
Choices:
57.5
58.9
61.4
62
Answer: A
Question: In how many different orders can the people Alice, Benjamin, Charlene, David, Elaine, Frederick, Gale, and Harold be standing on line if each of Alice, Benjamin, Charlene must be on the line before each of Frederick, Gale, and Harold?
Choices:
1,296
1,512
2,016
2,268
Answer: C
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 1, then what is the increase in the number of pandas?
Choices:
4
5
10
3
Answer: D
Question: In eight years, David will be four times as old as Aaron. Twenty years ago, David was twice as old as Ellen. If David is seven years older than Ellen, how old is Aaron?
Choices:
1.5–5
11–15
16–20
21–25
Answer: A
Question: If x+y=2z, then which of the following represents the average (arithmetic mean) of x, y, and z, in terms of z?
Choices:
3z
5z
z
3z/2
Answer: C
Question: If the radius of a cylinder is made 3 times and height is doubled, what is the new volume of the cylinder divided by the old one?
Choices:
18.
6.
4.
10.
Answer: A
Question: In a college, the ratio of the number of boys to girls is 8 : 5. If there are 200 girls, the total number of students in the college is
Choices:
520
620
720
820
Answer: A
Question: In an election, candidate Smith won 52% of the total vote in Counties A and S. He won 61% of the vote in County A. If the ratio of people who voted in County A to County S is 3:1, what percent of the vote did candidate Smith win in County S ?
Choices:
A.25%
C.34%
D.43%
E.49%
Answer: A
Question: The marks obtained by Polly and Sandy are in the ratio 3:5 and those obtained by Sandy and Willy are in the ratio of 3:2. The marks obtained by Polly and Willy are in the ratio of...?
Choices:
5:6
7:8
9:10
11:12
Answer: C
Question: A certain shade of gray paint is obtained by mixing 3 parts of white paint with 5 parts of black paint. If 2 gallons of the mixture is needed and the individual colors can be purchased only in one gallon or half gallon cans, what is the least amount of paint W, in gallons, that must be purchased in order to measure out the portions needed for the mixture?
Choices:
2 1/2
3
3 1/2
4
Answer: A
Question: If x^2 = 231, which of the following is closest to a potential value of x?
Choices:
-11
12
13
15
Answer: D
Question: A fair 2 sided coin is flipped 6 times. What is the probability that tails will be the result at least twice, but not more than 5 times?
Choices:
3/4
7/8
57/64
15/16
Answer: B
Question: Each shelf of a bookcase contains 24 books. If the librarian took out 34 books and rearranged the remaining books so that all shelves but the last one contained 16 books and the last shelf contained 22 books, how many shelves does the bookcase have?
Choices:
B)5
C)6
D)8
E)9
Answer: A
Question: A 420 meter long train crosses a platform in 60 seconds while it crosses a signal pole in 30 seconds. What is the length of the platform?
Choices:
840
350
420
210
Answer: C
Question: The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent?
Choices:
18 2/11%
18 3/11%
18 1/11%
18 2/15%
Answer: A
Question: "I am five times as old as you were, when I was as old as you are", said a man to his son. Find out their present ages, if the sum of their ages is 64 years.
Choices:
40 years and 24 years.
48 years and 27 years.
46 years and 26 years.
none of these
Answer: A
Question: If 12% of x is equal to 6% of y, then 18% of x will be equal to how much % of y ?
Choices:
9%
11%
12%
none of these
Answer: A
Question: Train G and H, 455 miles apart, are traveling toward each other at constant rates and in the same time zone. If train G left at 4 pm traveling at a speed of 60 miles per hour, and train H left at 5:45 pm and traveling at 45 miles per hour, then at what time would they pass each other?
Choices:
9.11pm
8.05pm
7.05pm
9.05pm
Answer: C
Question: a milkman makes a profit of 20% on the sale of milk. If he were to add 10% water to the milk, by what % would his profit increase?
Choices:
60 %
70 %
80 %
40 %
Answer: A
Question: If n is a positive integer and the greatest common divisor of n and 16 is 4, and the greatest common divisor of n and 15 is 3, which of the following is the greatest common divisor of n and 48?
Choices:
12
24
30
36
Answer: A
Question: Out of three numbers, the first is twice the second and is half of the third. If the average of the three numbers is 70, the three numbers in order are?
Choices:
60, 30, and 120
30, 60, and 120
30, 120, and 60
120, 30, and 60
Answer: A
Question: Three machines operating independently, simultaneously, and at the same constant rate can fill a certain production order in 40 hours. If one additional machine were used under the same operating conditions, in how manyfewerhours of simultaneous operation could the production order be fulfilled?
Choices:
9
10
27
48
Answer: B
Question: X and Y started a business by investing Rs.5000/- and Rs.15000/- respectively. Find the X’s share out of a total profit of Rs.1600:
Choices:
250
300
350
400
Answer: D
Question: In how many ways letters of the word RSCUPERATE be arranged?
Choices:
247886
284757
456788
302400
Answer: D
Question: A and B complete a work in 16 days. A alone can do it in 40 days. If both together can do the work in how many days?
Choices:
0.1875 days
0.0675 days
0.0875 days
0.0775 days
Answer: C
Question: In how many ways can the letters of the word 'LEADER' be arranged?
Choices:
144
360
720
None of these
Answer: B
Question: A researcher computed the mean, the median, and the standard deviation for a set of performance scores. If25 were to be added to each score, which of these three statistics would change?
Choices:
The mean and the median
The standard deviation only
The median only
The mean and the standard deviation
Answer: A
Question: In how many ways can 5 boys and 2 ladiesbe arranged at a table if 2 ladies are never together?
Choices:
278
390
420
480
Answer: D
Question: A farm has chickens, cows and sheep. There are five times the number of chickens and cows than sheep. If there are more cows than chickens or sheep, and together, cows and chickens have a total of 100 feet and heads, how many sheep live at the farm?
Choices:
8
10
4
17
Answer: C
Question: If m is an integer, what is the greatest possible value for m that would still make the following statement true: 11*10^m < 1/10 ?
Choices:
–3
–2
–1
0
Answer: A
Question: Two men A and B start from place X walking at 4 1/2 kmph and 5 1/2 kmph respectively. How many km apart they are at the end of 3 1/2 hours if they are walking in the same direction?
Choices:
4 3/5
4 3/8
4 3/2
4 3/1
Answer: B
Question: A shopkeeper mixed 7kg of salt worth Rs.6 per kg, 5kg of salt worth Rs.4 per kg and 6 kg of salt worth Rs.5 per kg. For what amount of money should he sell 4 kg of the mixed variety of salt in order to make a profit of 12½%?
Choices:
22.95
24.95
25.95
26.95
Answer: A
Question: If 28a+30b+31c=427.
then a+b+c=?.a,b,c are natural numbers
Choices:
14
12
45
28
Answer: A
Question: Find the odd one out:
125, 106, 83, 76, 65, 58, 53
Choices:
83
26
18
222
Answer: A
Question: P can complete a piece of work in 18 days & B can do the same piece of work in 15 days. They started working together but after 3 days P left & Q alone completed the remaining work. The whole work was completed in how many days?
Choices:
12.5 days
13 days
14.5 days
15.5 days
Answer: A
Question: If 4^x = 8^y, then the value of (x/y)-1 is equal to :
Choices:
1/2
1/4
3/4
2/3
Answer: A
Question: complete the numerical series with the correct number
5+3+2=151022
9+2+4=183652
8+6+3=482466
5+4+5=202541
9+5+5= ?
Choices:
454586
454585
454386
444586
Answer: B
Question: A man can do a job in 15 days. His father takes 20 days and his son finishes it in 25 days. How long will they take to complete the job if they all work together?
Choices:
6.4 days
5.4 days
8.4 days
2.4 days
Answer: A
Question: The edges of three iron cubes are 6cm; 8cm; 10cm respectively. A new cube was made by melting them. Find the edge of the new cube?
Choices:
19
16
12
14
Answer: C
Question: The average age of a husband and his wife was 26 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:
18
21
287
27
Answer: B
Question: A dealer purchases 15 articles for Rs. 25 and sells 12 articles for Rs. 33. Find the profit percentage?
Choices:
65%
59%
40%
53%
Answer: A
Question: A soccer team played 158 games and won 40 percent of them. How many games did it win?
Choices:
63.2
104
50.8
15.8
Answer: A
Question: Given a bag with 2 red balls and 3 yellow balls, you randomly select one of them, in order. If the second ball you take is yellow, what is the probability that the first one was also yellow?
Choices:
1/2
3/4
1/3
3/5
Answer: A
Question: If the difference between the length and breadth of a rectangle is 23 m and its perimeter is 186 m, what is its area?
Choices:
2535
2530
2030
2520
Answer: C
Question: Sequence P is defined by pn=pn−1+3, p1=11, sequence Q is defined as qn=qn−1–4, q3=103. If pk>qk+2, what is the smallest value k can take?
Choices:
9
11
14
15
Answer: D
Question: Out of seven given numbers, the average of the first four numbers is 4 and that of the last four numbers is also 4. If the average of all the seven numbers is 3, fourth number is
Choices:
4
7
11
12
Answer: C
Question: Tough and Tricky questions: Percents.
Over the course of a year, a certain microbrewery increased its beer output by 80 percent. At the same time, it decreased its total working hours by 10 percent. By what percent did this factory increase its output per hour?
Choices:
200
300
400
500
Answer: A
Question: A man can swim in still water at 3 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
Choices:
1.4
1.1
1.5
1
Answer: D
Question: On Monday morning, Chris receives tickets to a baseball game that will be played at 7pm on the next evening that it does not rain. However, Chris is only in town until Wednesday morning, at which point he must fly to another city. If there is a 40% chance of rain each of the next two evenings, what is the probability that Chris will be able to attend the game?
Choices:
60%
66%
80%
84%
Answer: D
Question: Each night before he goes to bed, Jordan likes to pick out an outfit to wear the next day. He has 12 different shirts, 10 different pairs of jeans, and 7 pairs of sneakers. If an outfit consists of 1 shirt, 1 pair of jeans, and 1 pair of sneakers, how many different outfits does Jordan have?
Choices:
840
240
480
960
Answer: A
Question: There are 36 students in a certain geometry class. If one third of the students are boys and one fourth of the boys are under six feet tall, how many boys in the class are under six feet tall?
Choices:
3
18
24
27
Answer: A
Question: John and Jacob set out together on bicycle traveling at 15 and 9 miles per hour, respectively. After 40 minutes, John stops to fix a flat tire. If it takes John one hour to fix the flat tire and Jacob continues to ride during this time, how many hours will it take John to catch up to Jacob assuming he resumes his ride at 15 miles per hour? (consider John's deceleration/acceleration before/after the flat to be negligible)
Choices:
3 1/3
3 1/2
4
1 1/4
Answer: D
Question: Five marbles are randomly selected, one at a time (without return), from a bowl of 100 marbles (20 green, 30 blue, 10 yellow, and 40 black). What is the probability that all five marbles are black? (Answer in lowest terms).
Choices:
9139/1045660
11350/146790
21/75
2/5
Answer: A
Question: If the largest three digit number is subtracted from the smallest five digit number, then the remainder is
Choices:
9000
9001
90001
None
Answer: B
Question: Look at this series: 15, __, 27, 27, 39, 39, ... What number should fill the blank?
Choices:
39
23
15
None
Answer: C
Question: What is the present worth of Rs. 132 due in 2 years at 5% simple interest per annum
Choices:
120
130
140
None of these
Answer: A
Question: With what number must 0.580 be multiplied in order to obtain the number 580?
Choices:
1,000
10,000
100,000
None of these
Answer: A
Question: 10 men and 15 women together can complete a work in 6 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?
Choices:
667 days
177 days
187 days
225 days
Answer: D
Question: A School Bus is used to transport students from home to college. There are total of 20 students who want to take the bus. There are 10 seats in the bus. 2 in the front row, 4 in the middle row and 4 in the last row. Bus driver has to make sure that front 2 seats are for nausea students. 4 students have nausea and can only sit in the front 2 seats. How many ways can the students sit in the bus.
Choices:
24443
2392329
445678
5405400
Answer: D
Question: Percentage of profit earned by selling a book e for $1920 is equal to the percentage loss incurred by selling the same book for $1280. What price should the book be sold to make 25% profit?
Choices:
$1000
$1500
$1700
$2000
Answer: D
Question: For any positive integer n, the sum of the first n positive integers equals n(n+1)/2. What is the sum of all the integers between 100 and 200?
Choices:
5050
6525
4352
4652
Answer: A
Question: In the reading room of a library, there are 25 reading spots. Each reading spot consists of a round table with 9 chairs placed around it. There are some readers such that in each occupied reading spot there are different numbers of readers. If in all there are 36 readers, how many reading spots do not have even a single reader?
Choices:
17
15
14
9
Answer: A
Question: Whats the next number in this number series ?
18, 46, 94, 63, 52, ?
Choices:
12
34
61
55
Answer: C
Question: Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
Choices:
10
12
20
22
Answer: A
Question: How many different possible permutations can be made from the word ‘VULLAT’ such thatthe vowels are never together?
Choices:
200
240
260
270
Answer: B
Question: Consider a set S given as {11,22,33,44,55,66,77,88,99} . If each element of the data set is multiplied by -6 then by what factors will the Mean,Variance and Standard Deviation respectively change ?
Choices:
-6,6,6
1,1,1
-6,36,6
6,6,36
Answer: C
Question: A committee has 4 men and 6 women. What are the number of ways of selecting 2 men and 4 women from the given committee?
Choices:
90
105
120
135
Answer: A
Question: Two men are walking towards each other alongside a railway track. A freight train overtakes one of them in 20 seconds and exactly 10 minutes later meets the other man coming from the opposite direction. The train passes this man is 18 seconds. Assume the velocities are constant throughout. How long after the train has passed the second man will the two men meet?
Choices:
90 minutes
90.3 seconds
91 seconds
None of these
Answer: A
Question: A cube of side 3 meter length is cut into small cubes of side 15 cm each. How many such small cubes can be obtained?
Choices:
1040
1058
1021
8000
Answer: D
Question: x = 13.165
y = 7.686
z = 11.545
The number A is obtained by first rounding the values of x, y, and z to the hundredths place and then adding the resulting values. The number B is obtained by first adding the values of x, y, and z and then rounding the sum to the hundredths place. What is the value of A – B?
Choices:
0.02
0.03
0.1
0.2
Answer: D
Question: A boat travels 32 km downstream in 8 hours and 24 km upstream in 12 hours. Find the speed of the boat in still water and the speed of the water current.
Choices:
3 km/hr, 1 km/hr
1 km/hr, 6 km/hr
2 km/hr, 1 km/hr
4 km/hr, 1 km/hr
Answer: A
Question: Population of a colony of ants is increasing by 20% per day. If the population on Monday was 3000, on which day of that week the population would be 5184 ?
Choices:
Thursday
Monday
sunday
tuesday
Answer: A
Question: A bag contains 10 red and 6 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Choices:
2/3
5/8
1/4
5/7
Answer: B
Question: A bank offers 5% compound interest calculated on half-yearly basis. A customer deposits $ 1600 each in 1st month and 7th month of a year. At the end of the year, the amount he would have gained by way of interest is?
Choices:
121
100
160
80
Answer: A
Question: If q and r are both odd numbers B, which of the following must also be odd?
Choices:
(q + r)^2
q(q + r)
(qr)^2
q/r
Answer: C
Question: A, Band C can do a piece of work in 35 days, 20 days and 55 days respectively, working alone. How soon can the work be done if A is assisted by Band C on alternate days?
Choices:
8 days
9 days
10 days
16 days
Answer: D
Question: The words mentioned below have been arranged in a particular order.
SHOP, FEAR, BALL, DEAD
Can you find the logic behind the order?
Choices:
58 > 30 > 27 > 14
58 > 30 > 27 > 16
58 > 30 > 27 > 17
None
Answer: A
Question: 2 no.'s, when divided by 17, leave remainders 13 and 11 respectively. If the sum of those 2 no.'s is divided by 17, the remainder will be
Choices:
6
7
8
9
Answer: B
Question: If the price of a TV is first decreased by 20% and then increased by 55%, then the net change in the price will be :
Choices:
24% increase
10% decrease
6% increase
None of these
Answer: A
Question: Ben and Andrew are partners in a business. Ben is a working partner while Andrew is a sleeping partner. Ben gets 8% of the profit for managing the business, and the rest is divided in proportion to their capitals. If Ben invested 25000 and Andrew invested 38000, what is Ben's share in profit of 3500?
Choices:
1557.8
1540.8
3557.8
2557.8
Answer: A
Question: The cost of 20 articles is equal to selling price of 10. Find the gain or loss percent?
Choices:
100%
25%
15%
60%
Answer: A
Question: The area of a triangle is with base 18m and height 6m?
Choices:
10 m2
66 m2
54 m2
31 m2
Answer: C
Question: A person purchased a TV set for Rs. 2000 and a DVD player for Rs. 1000. He sold both the items together for Rs. 6000. What percentage of profit did he make?
Choices:
89%
100%
48%
10%
Answer: B
Question: R and S together can plough a field in 10 hours but by himself R requires 15 hours. How long would S take to plough the same field?
Choices:
5 hours
10hours
15hours
20hours
Answer: D
Question: In a restaurant, the profit is 130% of the cost. If the cost increases by 12% but the selling price remains constant, approximately what percentage of the selling price is the profit?
Choices:
51%
90%
100%
None of these
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 Rs. 1000 more than D, what is B's share?
Choices:
5000
2000
1000
6000
Answer: B
Question: If k, (k+200), (k+350), and 15*K are all multiples of S then S could equal which of the following ?
Choices:
S=25
75
100
150
Answer: A
Question: The sum of three consecutive even numbers is 366. Find the middle number of the three?
Choices:
123
122
152
142
Answer: B
Question: 90 students represent x percent of the boys at Jones Elementary School. If the boys at Jones Elementary make up 30% of the total school population of x students, what is x?
Choices:
173
225
250
500
Answer: A
Question: A farm used two harvesting machines, H and K, to harvest 100 acres of wheat. Harvesting machine H, working alone at its constant rate, harvested 30 acres of wheat in 8 hours. Then harvesting machine K was brought in, and harvesting machines H and K, working together at their respective constant rates, harvested the remaining acres of wheat in 7 hours. Harvesting machine K harvested how many acres of wheat per hour?
Choices:
8
12
3
15
Answer: C
Question: A train crosses a platform of200 m in 15 sec, same train crosses another platform of length 300 m in 20 sec. then find the length of the train?
Choices:
100m
159m
250m
152m
Answer: A
Question: Four boys picked up 30 mangoes .In how many ways can they divide them if all mangoes be identical?
Choices:
4^30
1^30
3^30
6^30
Answer: A
Question: John has 6 friends who want to ride in his new car that can accommodate only 5 people at a time (John plus 4 passengers). How many different combinations of 4 passengers can be formed from John's 6 friends?
Choices:
8
10
15
20
Answer: C
Question: The cost price of a radio is Rs.3300 and it was sold for Rs.1230, find the loss %?
Choices:
62.7%
88%
65%
62%
Answer: A
Question: The greatest number of four digits which is divisible by 10, 16, 24 and 80 is:
Choices:
9420
9660
9840
9900
Answer: C
Question: Missing number in the series
4 9 20 43 90 ?
Choices:
185
190
195
180
Answer: A
Question: There are 4 sections with 7 questions each. If three questions are selected from each section, the chance of getting different questions is________
Choices:
45678
42875
40000
16000
Answer: B
Question: A trader bought a car at 20% discount on its original price. He sold it at a 70% increase on the price he bought it. What percent of profit did he make on the original price?
Choices:
72%
12%
82%
36%
Answer: D
Question: If a boat is rowed downstream for 50 km in 5 hours and upstream for 24 km in 6 hours, what is the speed of the boat and the river?
Choices:
(7 , 3) km/hr
(3 , 3) km/hr
(7 , 5) km/hr
(7 , 7) km/hr
Answer: A
Question: Arithmetic mean and standard deviation of a certain normal distribution are 11.5 and 1.5. What value is exactly 2 standard deviations less than the mean?
Choices:
11
11.5
12
8.5
Answer: D
Question: If x, y, and z are positive integers and 3x = 5y = 8z, then the least possible value of x + y + z is
Choices:
79
50
55
60
Answer: A
Question: The sum of three numbers is 98. The ratio of the first to the second is 2/3, and the ratio of the second to the third is 5/8. The second number is
Choices:
20
25
30
32
Answer: C
Question: If there are 200 questions in a 3 hr examination. Among these questions are 100 type A problems, which requires twice as much as time be spent than the rest of the type B problems. How many minutes should be spent on type A problems?
Choices:
62 min
70 min
74 min
120 min
Answer: D
Question: Two trains, each 160 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
96 km/hr
Answer: D
Question: In a group of 6 boys&4 girls a Committee of 4 persons is to be formed. In how many different ways can it be done so that the committee has at least 1girl?
Choices:
120
130
195
200
Answer: C
Question: In what time will a train 200 m long cross an electric pole, it its speed be 144 km/hr?
Choices:
1.9 sec
8.9 sec
6.9 sec
5 sec
Answer: D
Question: The L.C.M of two numbers is 2310 and their H.C.F is 30. If one number is 231 the Other is
Choices:
300
270
250
350
Answer: A
Question: In an examination, a student scores 3 marks for every correct answer and loses 2 marks for every wrong answer. If he attempts all 100 questions and secures 300 marks, the number of questions he attempts correctly, is:
Choices:
250
400
300
100
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:
Rs. 3868.80
Rs. 4216.20
Rs. 4082.40
None of these
Answer: C
Question: Two persons start running simultaneously around a circular track of length 400 m from the same point at speeds of 20 km/hr and 30 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
Choices:
37 sec
21.6 sec
23 sec
27 sec
Answer: B
Question: 405 sweets were distributed equally among children in such a way that the number of sweets received by each child is 20% of the total number of children. How many sweets did each child receive?
Choices:
9
18
45
None of these
Answer: A
Question: In the equation x^2+kx+1=0, x is a variable and k is a constant. If the quadratic equation has two distinct real roots, which of the following could be true?
I) k=0
II) k=−1
III) k=−3
Choices:
III only
I and II only
II and III only
I and III only
Answer: A
Question: When 200 is divided by positive integer x, the remainder is 2. What is the remainder when 398 is divided by x?
Choices:
2
4
6
8
Answer: A
Question: A certain company has records stored with a record storage firm in 15-inch by 12-inch by 10-inch boxes. The boxes occupy 1.08 million cubic inches of space. If the company pays $0.5 per box per month for the record storage, what is the total amount that the company pays each month for record storage?
Choices:
b. 300
c. 600
d. 1,200
e. 2,400
Answer: A
Question: A group of students was interviewed for that if it was asked whether or not they speak Spanish and / or English. Among those who speak Spanish, 15 speak English well, while 45 of them do not speak English. If 70% of students do not speak Spanish, how many students were surveyed?
Choices:
200
230
210
215
Answer: A
Question: Two carpenters, working in the same pace, can build 2 desks in two hours and a half. How many desks can 4 carpenters build in 2 hours?
Choices:
3.2.
4.2.
5.5.
6.4
Answer: A
Question: Which of the following represents the profit from the investment of x dollars at n percent compound annual interest for 6 years?
Choices:
6x (1+n/100)^4 - x
x (1+n/100)^6 - x
2x (1+n/100)^7 - x
4x (1+n/100)^8 - x
Answer: B
Question: If 140/x is an integer and 108/x is an integer, which of the following must be true?
I. 9/x is an integer
II. 12/x is an integer
III. 36/x is an integer
Choices:
III only
I and II only
II and III only
I, II and III
Answer: D
Question: The current in a river is 6 mph. A boat can travel 20 mph in still water. How far up the river can the boat travel if the round trip is to take 10 hours?
Choices:
88 miles
96 miles
91 miles
112 miles
Answer: C
Question: How many minutes will it take for a car that is traveling at a constant rate of 9 miles per hour to travel a distance of 106 yards?	(1 mile = 1,160 yards)
Choices:
5
4
3.61
4.3
Answer: C
Question: A train passes a station platform in 30 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:
220
240
150
260
Answer: C
Question: Two tracks are parallel. The first track has 6 checkpoints and the second one has 10 checkpoints. In how many ways can the 6 checkpoints of first track be joined with the 10 checkpoints of the second to form a triangle?
Choices:
150
200
270
420
Answer: D
Question: Seller selling an apple for Rs.20, a Seller loses 1/6th of what it costs him. The CP of the apple is?
Choices:
12
21
18
20
Answer: B
Question: Sixty five percent of a number is 21 less than four fifth of that number. What is the number ?
Choices:
140
230
130
125
Answer: A
Question: 4.509/10.02 =
Choices:
0.45
0.3509
0.351
0.3527
Answer: A
Question: An 80-liter solution of cool-drink is made from 10% jasmine water. If 8 liters of jasmine and 12 liters of water were added to the solution, what percent of the solution is jasmine?
Choices:
14%
16%
18%
20%
Answer: B
Question: The ratio of two numbers is 2 : 3 and their H.C.F. is 6. Their L.C.M. is
Choices:
22
36
27
67
Answer: B
Question: A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream?
Choices:
80/13 hours
30/19 hours
30/13 hours
31/13 hours
Answer: C
Question: In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
Choices:
75 %
150 %
50 %
70%
Answer: D
Question: If the sum of the first n positive integers is x, then which of the following is the sum of the first 2n even positive integers?
Choices:
3x + 4n^2
4x + 2n
4x + n^2
4x + 2n^2
Answer: D
Question: Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Choices:
8.2
2
10.8
11.2
Answer: C
Question: A and B can do a piece of work in 6 2/3 days and 5 days respectively. They work together for 2 days and then A leaves. In how many days after that B will complete the work alone.
Choices:
1 Â½ days
8 Â½ days
5 Â½ days
2 Â½ days
Answer: A
Question: If x ≠ 0 and x - (2- x^2)/x = y/x, then y =
Choices:
x^2 − 2
2x^2 − 2
x − 2 − x^2
x − 2 + x^2
Answer: B
Question: If takes 25.5 minutes to download a file using Modem A. Modem B work at 17% of the speed of Modem A. How long does it take to download a file using a Modem B?
Choices:
140 minutes
150 minutes
160 minutes
170 minutes
Answer: B
Question: If the selling price of 5 books is same as the cost price of 10 books. Find the gain or loss percentage?
Choices:
100%
45%
55%
65%
Answer: A
Question: Two trains of equal length, running with the speeds of 50 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:
5.55 sec
5.95 sec
6.55 sec
9.55 sec
Answer: A
Question: A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of the son is:
Choices:
22
32
48
92
Answer: A
Question: if b is a positive integer greater than 8, which of the following must be divisible by 4?
Choices:
b(b-1)(b+3)(b+4)
b(b-3)(b+2)(b+4)
b(b-3)(b+2)(b+3)
b(b+1)(b+3)(b+4)
Answer: C
Question: The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is:
Choices:
44%
48%
50%
51%
Answer: A
Question: 3,9,27,81,....
Choices:
604
616
243
636
Answer: C
Question: A student scored an average of 80 marks in 3 subjects: Physics, Chemistry and Mathematics. If the average marks in Physics and Mathematics is 90 and that in Physics and Chemistry is 70, what are the marks in Physics?
Choices:
27
26
80
28
Answer: C
Question: A group of college friends plan to rent a house together for x dollars per month, which is to be shared equally among them. If five, rather than six people rent the house together, how many more dollars, in terms of x, will each person have to pay for rent per month?
Choices:
x/30
x/6
x/5
5x/6
Answer: A
Question: If P represents the product of the first 13 positive integers, which of the following must be true?
I. P is an even number
II. P is a multiple of 6
III. P is a multiple of 24
Choices:
II only
III only
None of the above
All of the above
Answer: D
Question: The price of 5 kilograms of premium fertilizer is the same as the price of 8 kilograms of regular fertilizer. If the price of premium fertilizer is y cents per kilogram more than the price of regular fertilizer, what is the price, in cents, per kilogram of premium fertilizer?
Choices:
5/6*y
6/5*y
5y
8y/3
Answer: D
Question: s(n) is a n-digit number formed by attaching the first n perfect squares, in order, into one integer. For example, s(1) = 1, s(2) = 14, s(3) = 149, s(4) = 14916, s(5) = 1491625, etc. How many digits Q are in s(99)?
Choices:
Q=353
Q=354
Q=356
357
Answer: A
Question: If 6 (A's capital) = 8 (B's capital) = 10 (C's capital). Then the ratio of their capitals is?
Choices:
20:15:68
20:15:12
20:15:11
20:15:19
Answer: B
Question: A pizzeria in Castroville creates its own special blend of shredded cheese at a cost of $696.05 per kilogram. The blend includes Mozzarella, at $504.35 per kilogram, and Romano cheese, at $887.75 per kilogram. If the employees have already shredded 19 kilograms of Mozzarella cheese, how many kilograms of Romano cheese will they need to shred now?
Choices:
19kg
10kg
23kg
15kg
Answer: A
Question: A sum of money becomes triple itself in 16 years. In how many years will it become 5 times at the same rate?
Choices:
32
27
30
35
Answer: A
Question: How many positive integers less than 50 are multiples of 6 but NOT multiples of 8?
Choices:
6
8
10
12
Answer: A
Question: Find the area of the quadrilateral of one of its diagonals is 30 cm and its off sets 10 cm and 6 cm?
Choices:
150 cm2
240 cm2
177 cm2
187 cm2
Answer: B
Question: A heap of coconuts is divided into groups of 2, 3 and 5 and each time one coconut is left over. The least number of Coconuts in the heap is?
A. 31 B. 41 C. 51 D. 61
Choices:
31
51
61
71
Answer: A
Question: Which of the following is the sum of all the even numbers between 1 and 93, inclusive?
Choices:
2450
2600
2447
2652
Answer: C
Question: A cube is divided into 216 identical cubelets. Each cut is made parallel to some surface of the cube. But before doing that, the cube is painted with green on one set of opposite faces, red on another set of opposite faces, and blue on the third set of opposite faces. How many cubelets are painted with exactly one colour?
Choices:
84
96
108
120
Answer: B
Question: A man engaged a servant on the condition that he would pay him Rs.710 and a uniform after a year service. He served only for 8 months and got Rs.460 and a uniform. Find the price of the uniform?
Choices:
Rs.40
Rs.25
Rs.20
Rs.45
Answer: A
Question: Tanya prepared 4 different letters to 3 different addresses. For each letter, she prepared one envelope with its correct address. If the 4 letters are to be put into the four envelopes at random, what is the probability that only one letter will be put into the envelope with its correct address?
Choices:
1/8
1/4
1/3
3/8
Answer: B
Question: Set R has a mean of 11 and a standard deviation of 1.5. We are going to add two additional numbers to Set S. Which pair of numbers would decrease the standard deviation the most?
Choices:
{11, 14}
{10, 12}
{14, 19}
{14, 11}
Answer: B
Question: There are 9 orators A, B, C, D, E, F, G,H and I. In how many ways can the arrangements be made so that A always comes before B and B always comes before C.
Choices:
9! / 3!
5! x 3!
8! / (5! x 3!)
8! / (5! x 4!)
Answer: A
Question: A circular rim A having a diameter of 24 inches is rotating at the rate of x inches/min. Another circular rim B with a diameter of 30 inches is rotating at the rate of y inches/min. What is the value of y in terms of x, if both the rims reach their starting positions at the same time after every rotation.
Choices:
5x/4
6x/5
8x/7
9x/8
Answer: A
Question: What is the value of 1×1!+2×2!+3!×3!+............n×n!;where n! means n factorial or n(n−1)(n−2)...1
Choices:
n(n−1)(n−1)!
n(n−1)(n−1)!
(n+1)!−1!
None of these
Answer: C
Question: Fortuner, the latest SUV by Toyota Motors, consumes diesel at the rate of 1400×[1000x+x]1400×[1000x+x] litres per km, when driven at the speed of xx km per hour. If the cost of diesel is Rs 35 per litre and the driver is paid at the rate of Rs 125 per hour then find the approximate optimal speed (in km per hour) of Fortuner that will minimize the total cost of the round trip of 800 kms?
Choices:
32 km per hour
49 km per hour
54 km per hour
65 km per hour
Answer: B
Question: The ratio of two numbers is 3:4 and their sum is 21. The greater of the two numbers is?
Choices:
12
16
17
19
Answer: A
Question: A plane flies 880 km with the wind and 720 km against the wind in the same length of time. If the speed of the wind is 20 km/h, what is the speed of the plane in still air?
Choices:
160 km/h
180 km/h
200 km/h
220 km/h
Answer: C
Question: Two trains, each 100 meters long, moving in opposite directions, completely pass each other in 24 seconds. If one train is moving twice as fast the other, then what is the speed of the faster train (in km/hr)?
Choices:
16 km/hr
20 km/hr
24 km/hr
28 km/hr
Answer: B
Question: We can rent a cabin for x dollars per day for the first 5 days and then y dollars for each additional day. How much will it cost to rent a cabin for z days, where z>5?
Choices:
5y+(z-5)x
xz + 5y
5x - z + y
5x+(z-5)y
Answer: D
Question: If 4a – 2b – 2c = 32 and √3a-√(2b+2c)=4, what is the value of a + b + c?
Choices:
9
10
12
14
Answer: C
Question: By selling a book for 290, 20% profit was earned. What is the cost price of the book?
Choices:
B)241
C)230
D)235
E)240
Answer: A
Question: One year payment to the servant is Rs. 200 plus one shirt. The servant leaves after 9 months and receives Rs. 120 and a shirt.Then find the price of the shirt.
Choices:
217
127
120
182
Answer: C
Question: Three friends Ram, Rahul and Raj divide $1000 amongs them in such a way that if $1, $2 and $8 are removed from the sums that Ram, Rahul and Raj received respectively, then the share of the sums that they got will be in the ratio of 6 : 7 : 10. How much did Raj receive?
Choices:
$458
$438
$448
$478
Answer: B
Question: What is the smallest possible common multiple of three integers, all larger than 22?
Choices:
54.
846.
19,656.
23
Answer: D
Question: The annual birth and death rate in a country per 1000 are 39.4 and 19.4 respectively . the number of years R in which the population would be doubled assuming there is no emigration or immigration is
Choices:
R=25
R=30
R=35
40
Answer: C
Question: If Jan 1, 2006 was a Friday, What was the day of the week Jan 1, 2010?
Choices:
Thursday
Tuesday
Saturday
Wednesday
Answer: D
Question: A 6-liter solution is 35% alcohol. How many liters of pure alcohol must be added to produce a solution that is 50% alcohol?
Choices:
1.8
2.1
2.4
2.7
Answer: A
Question: At what rate of interest (compounded yearly)will Rs.10,000 amount to Rs.12100 in 2 years?
Choices:
11%
8%
10%
20%
Answer: C
Question: A thief is spotted by a policeman from a distance of 160 meters. When the policeman starts the chase, the thief also starts running. If the speed of the thief be 8km/hr and that of the policeman 10 km/hr, how far the thief will have run before he is overtaken?
Choices:
240m
440m
640m
None of them
Answer: C
Question: A watch passes through three hands and each gains 25%. If the 3rd sells it for Rs250, what did the 1st pay for it?
Choices:
120
128
134
154
Answer: B
Question: A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?
Choices:
77
30
99
12
Answer: B
Question: ((1^5m)/(5^5m))((1^18)/(4^18)) = 1/(2(10)^35)
What is m?
Choices:
7
34
35
36
Answer: A
Question: Mary's income is 40 percent more than Tim's income, and Tim's income is 40 percent less than Juan's income. What percent of Juan's income is Mary's income?
Choices:
120%
96%
80%
84%
Answer: D
Question: What strength of 20 ml alcohol should be added to 10ml of 50% alcohol to get an average strength of 20% alcohol.
Choices:
5 %
50 %
5.5 %
0.05 %
Answer: A
Question: In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was:
Choices:
2700
2900
2200
2300
Answer: A
Question: How much is 80% of 45 is greater than 4/5 of 25?
Choices:
57
16
16
73
Answer: B
Question: A gets 3 times as much money as B gets, B gets only Rs.25 more then what C gets. The three gets Rs.695 in all. Find the share of B?
Choices:
120
218
144
145
Answer: C
Question: A train having a length of 240 m passes a post in 24 seconds. How long will it take to pass a platform having a length of 630 m?
Choices:
99 sec
89 sec
87 sec
85 sec
Answer: C
Question: In the coordinate plane, a circle centered on point (-3, 4) passes through point (1, 1). What is the area of the circle?
Choices:
18π
25π
37π
41π
Answer: B
Question: A coin is tossed two times. What is the probability that there is at the least one tail?
Choices:
3/4
3/7
3/5
1/31
Answer: A
Question: Two-third of a positive number and 144/216 of its reciprocal are equal. The number is:
Choices:
12/5
25/144
144/25
1
Answer: D
Question: A son and father goes for boating in river upstream . After rowing for 1 mile son notices the hat of his father falling in the river. After 5 min he tells his father that his hat has fallen. So they turn round and are able to pick the hat at the point from where they began boating after 5min. Find the speed of river in miles/hours ?
Choices:
6 mile/hr
8 mile/hr
1 mile/hr
2 mile/hr
Answer: A
Question: The balance of a trader weighs 20% 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:
4%
25%
16.66%
9%
Answer: A
Question: A bullet train 140 m long is running at 60 kmph. In how much time will it pass a platform 310 m long?
Choices:
22 Seconds
41 Seconds
24 Seconds
27 Seconds
Answer: D
Question: If a and b are integers and (2^a)(3^b) is a factor of 180^40, what is the largest possible value of ab?
Choices:
2a
20a
40a
80a
Answer: A
Question: Weight of M, D and I is 74. Sum of D and I is 46 greater than M. I is 60% less than D. What is D's weight.
Choices:
10
88
26
18
Answer: A
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
Choices:
50 km/hr
14 km/hr
17 km/hr
77 km/hr
Answer: A
Question: A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Choices:
166
350
198
161
Answer: B
Question: One fourth of one third of two fifth of a number is 15. What will be the 40% of that number is?
Choices:
130
150
180
250
Answer: C
Question: In a restaurant, the profit is 110% of the cost. If the cost increases by 12% but the selling price remains constant, approximately what percentage of the selling price is the profit?
Choices:
47%
90%
100%
None of these
Answer: A
Question: A quadratic function f(x) attains a maximum of 3 at x = 1. The value of the function at x = 0 is 1. What is the value of f(x) at x = 10 ?
Choices:
-159
-110
-180
-105
Answer: A
Question: A began a business with Rs. 85,000. He was joined afterwards by B with Ks. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1 ?
Choices:
5 months
6 months
8 months
7 months
Answer: C
Question: Potato chips are on sale, buy 2 get 1 free. There are only 9 bags of chips left (4 plain and 5 bbq). A shopper randomly grabs 3 bags. What is the probability the shopper will grab exactly 3 bags of bbq chips?
Choices:
1/3
1/5
5/42
7/42
Answer: C
Question: A train 180 m long passed a pole in 3 sec. How long will it take to pass a platform 330 m long?
Choices:
6
7
8
9
Answer: C
Question: The average temperature of Monday, Tuesday, Wednesday and Thursday was 38∘ and that of Tuesday, Wednesday, Thursday and Friday was 40∘. If the temperature on Monday was 32∘, the temperature of Friday was :
Choices:
40∘
38∘
30∘
None of these
Answer: A