antoine-444/aqua_rat_dataset huggingface dataset:
Question: A certain population of bacteria doubles every 10 minutes. If the number of bacteria in the population initially was 10^5, then what was the number in the population 1 hour later?
Choices:
6(10^5)
(2^6)(10^5)
(10^6)(10^5)
(10^5)^6
Answer: B
Question: How many paying stones, each measuring 2 1/2 m * 2 m are required to pave a rectangular court yard 30 m long and 16 1/2 m board?
Choices:
99
77
65
44
Answer: A
Question: Anil spends 40% of his income on rent, 30% of the remaining on medicines and 20% of the remaining on education. If he saves Rs. 840 every month, then find his monthly salary?
Choices:
Rs. 2000
Rs. 2200
Rs. 2500
None of these
Answer: C
Question: The banker's discount on Rs.1800 at 4% per annum is equal to the true discount on Rs.1872 for the same time at the same rate. Find the time?
Choices:
4 months
5 months
6 months
12 months
Answer: D
Question: The ratio of men to women in a class is 4 to 3. If 4 men drop out of the class and the ratio of men to women after the drop out is 10 to 9, then how many women are currently in the class?
Choices:
16
18
20
22
Answer: B
Question: A can do a piece of work in 10 hours; B and C together can do it in 9 hours, while A and C together can do it in 18 hours. How long will B alone take to do it?
Choices:
6 5/8 hours
15 8/6 hours
6 8/9 hours
6 6/14 hours
Answer: D
Question: Working together, Tim and Tom can type 12 pages in one hour. If they would be able to type 14 pages in one hour if Tom increases his typing speed by 25%, what is the ratio of Tom's normal typing speed to that of Tim?
Choices:
2/1
1/3
4/1
1/4
Answer: A
Question: A person got Rs.52 more when he invested a certain sum at compound interest instead of simple interest for two years at 7% p.a. Find the sum?
Choices:
10612
10678
2667
2671
Answer: A
Question: Find the average of first 4 multiples of 11?
Choices:
12.6
27.5
31.3
40.8
Answer: B
Question: Of the science books in a certain supply room, 30 are on botany, 37 are on zoology, 90 are on physics, 50 are on geology, and 110 are on chemistry. If science books are removed randomly from the supply room, how many must be removed to ensure that 80 of the books removed are on the same area science?
Choices:
121
164
225
276
Answer: D
Question: A box contains 4 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or red?
Choices:
5/10
9/10
6/10
7/10
Answer: D
Question: From a square piece of a paper having each side equal to 10 cm, the largest possible circle is being cut out. The ratio of the area of the circle to the area of the original square is nearly :
Choices:
4⁄5
5⁄6
6⁄7
None of these
Answer: A
Question: A shop owner sells 50mtr of cloth and gains SP of 10 mtrs. Find the gain %?
Choices:
25%
50%
60%
70%
Answer: A
Question: If |m+5|−5 = m, which of the following must be true?
Choices:
m = −10
m is a multiple of 5.
m ≥ −5
|m+5| > 0
Answer: C
Question: Each digit 1 through 5 is used exactly once to create a 5-digit integer. If the 1 and the 5 cannot be adjacent digits in the integer, how many 5-digit integers are possible?
Choices:
66
76
78
None of these
Answer: D
Question: If 0 < m < 1 < n< 7, which of the following must be less than 1? I.m/n II. mn III. n - m
Choices:
I,III only
I only
III only
II only
Answer: B
Question: there are 6 elements and few are a ,b,c,d.find permutation and combination?
Choices:
360,15
370,15
380,15
360,10
Answer: A
Question: For which of the following does f(p)−f(q)=f(p−q) for all values of p and q?
Choices:
f(a)=a/2
f(a)=a+5
f(a)=2a−1
f(a)=|a|
Answer: A
Question: A cyclist covers a distance of 750 meter in 2 minutes 30 seconds. What is the speed in km/hr of cyclist
Choices:
17 km/hr
18 km/hr
19 km/hr
None of these
Answer: B
Question: The sum of the first k positive integers is equal to k(k+1)/2. What is the sum of the integers from a to b, inclusive, where 0<a<b?
Choices:
b(b+1)/2 - a(a+1)/2
b(b+1)/2 - (a-1)a/2
(b-1)b/2 - (a+1)(a+2)/2
(b-1)b/2 - a(a+1)/2
Answer: B
Question: TATA company has four empty trucks that will head out in the morning, all four to the same destination. The clerk has four different boxes to ship to that same destination. All four boxes could go on any one of the trucks, or the boxes could be split up into any groupings and given to the trucks in any combinations (ie. two to one truck, one to another, and one to another). In how many different ways could the boxes be put on the four trucks?
Choices:
64
256
576
4096
Answer: B
Question: The average monthly salary of 20 employees in an organisation is Rs. 1500. If the manager's salary is added, then the average salary increases by Rs. 1000. What is the manager's monthly salary ?
Choices:
Rs.16029
Rs.22500
Rs.16108
Rs.16011
Answer: B
Question: A can do a piece of work in 10 days and B can do it in 15 days and C can do it 20 days. They started the work together and A leaves after 2 days and B leaves after 4 days from the beginning. How long will work lost?
Choices:
10 2/9
10 2/3
10 2/2
10 2/1
Answer: B
Question: 76^77 /7
remainder is ?
Choices:
6
7
8
9
Answer: A
Question: In a simultaneous throw of a pair of dice, find the probability of getting a total more than 11
Choices:
11/25
5/13
5/12
6/17
Answer: A
Question: The compound ratio of 2/5, 6/7, 1/3 and 1/8 is given by?
Choices:
1/70
1/98
1/96
1/68
Answer: A
Question: On a certain number line, there are 10 marks evenly spaced. If the fifth mark has a value equal to 2.3 and the tenth mark's value is equal to 3.8, then what is the value of the second mark?
Choices:
1.1
1.4
1.5
1.7
Answer: B
Question: AMOUNT OF BACTERIA PRESENT
Time Amount
1:00 P.M. 20.0 grams
4:00 P.M. x grams
7:00 P.M. 24.4 grams
Data for a certain biology experiment are given in the table above. If the amount of bacteria present increased by the same fraction during each of the two 3-hour periods shown, how many grams of bacteria were present at 4:00 P.M.?
Choices:
22.0
12.2
22.3
12.4
Answer: A
Question: Tourist purchased a total of 30 travelers checks in $50 and $100 denominations. The total worth of the travelers checks is $1800. How many checks of $50 denominations can he spend so that average amount (arithmetic mean) of the remaining travelers checks is $62.5?
Choices:
6
15
20
24
Answer: A
Question: There are 15 cans in the refrigerator. 7 of them are red and 8 of them are blue. In how many ways we can remove 8 cans so that at least one red and at least one blue cans to remain the refrigerator.
Choices:
490
493
455
445
Answer: A
Question: A thief steals at a car at 4.30 p.m. and drives it at 60 km/hr. The theft is discovered at 3 p.m. and the owner sets off in another car at 75 km/hr. When will he overtake the thief?
Choices:
3 p.m
4 p.m
5 p.m
7 p.m
Answer: D
Question: The C.P of 16 books is equal to the S.P of 18 books. Find his gain% or loss%?
Choices:
11 1/9%
16 2/5%
16 2/1%
16 1/3%
Answer: A
Question: A person buys an article at Rs.480. At what price should he sell the article so as to make a profit of 24%?
Choices:
595
772
662
521
Answer: A
Question: A bag contains 12 white and 18 black balls. 2balls are drawn in succession. What is the probability that 1st is white and second is black?
Choices:
36/145
13/115
1/213
2/231
Answer: A
Question: In a jar there are balls in different colors: blue, red, green and yellow.
The probability of drawing a blue ball is 1/6.
The probability of drawing a red ball is 1/5.
The probability of drawing a green ball is 1/10.
If a jar cannot contain more than 50 balls, how many yellow balls are in the Jar?
Choices:
24.
23.
20.
16.
Answer: D
Question: P, Q, R, S, T and U are six cities which are in a row in the same order. A bus, b1 travels from P to U and another bus b2 travel from U to P. The bus b1 reaches S at 10:40 and bus b2 reaches Q at 10:35 if the travel time between any two adjacent cities is 40 minutes and the stoppage time at each city is 15 minutes, then at what time do they start at their respective destinations?
Choices:
8:00, 7:10
8:10, 7:10
8:15, 7:25
8:10, 7:00
Answer: B
Question: X and Y are two towns. Ganesh covers the distance from X to Y at an average speed of 54 Km/hr. However, he covers the distance from Y to X at an average speed of 36 Km/hr. His average speed during the whole journey in km/hr. is :
Choices:
43.2
40
38
29
Answer: A
Question: The population of a village is 14300. It increases annually at the rate of 15% p.a. What will be its population after 2 years?
Choices:
18911
19898
14000
14400
Answer: A
Question: Solve for x: 2x – y = (3/4)x + 6.
Choices:
4(y + 6)/5
(y + 6)
4(y - 6)/5
6(y-4)/5
Answer: A
Question: On dividing a number by 357, we get 38 as remainder.On dividing the same number by 17, what will be the remainder ?
Choices:
4
8
7
2
Answer: A
Question: If 3^x*4^y = 1,594,323 and x – y = 13, then x = ?
Choices:
11
12
13
14
Answer: C
Question: The area of a parallelogram is 128sq m and its altitude is twice the corresponding base. Then the length of the base is?
Choices:
8
7
6
4
Answer: A
Question: Lines y=√2·x+2 and y=3√2·x−1 intersect at what height above the x axis?
Choices:
13/2
13
2
0
Answer: A
Question: Calculate how many men are needed to finish a specific task in 35 days if it will take 20 men to complete the same task in 70 days. ?
Choices:
40
10
30
60
Answer: A
Question: The length W of a rectangle is decreased by 15% and its width is increased by 40%. Does the area of the rectangle decrease or increase and by what percent?
Choices:
Decreases by 25%
Increases by 6%
Increases by 19%
Increases by 25%
Answer: C
Question: The ratio between the speeds of two Bullet trains is 7: 8. If the second Bullet train runs 440 kms in 4 hours, then the speed of the first train is:
Choices:
37.25 km/hr.
90.25 km/hr.
94.25 km/hr.
96.25 km/hr.
Answer: D
Question: In a village of 120 families, 93 families use firewood for cooking, 63 families use kerosene, 45 families use cooking gas, 45 families use firewood and kerosene, 24 families use kerosene and cooking gas, 27 families use cooking gas and firewood. Find how many useall?
Choices:
93
150
15
45
Answer: C
Question: X’s income is 3/4 of Y’s income, and X’s expenditure is 4/5 of Y’s expenditure. If X’s income is 9/10 of Y’s expenditure, find the ratio of X’s savings to Y’s savings ?
Choices:
1 : 2
1 : 4
2 : 3
3 : 2
Answer: A
Question: If 31% of a number is 46.5,the number is ?
Choices:
150
160
165
None
Answer: A
Question: On five consecutive flips of a coin, what is the probability that all five produce the same result?
Choices:
1/16
1/4
3/8
1/2
Answer: A
Question: Two trains of length 100 meters and 200 meters are 450 meters apart. They are moving towards each other on parallel tracks, at speeds of 90 km/h and 72 km/h. After how many seconds will the trains meet?
Choices:
8
10
12
14
Answer: B
Question: In a class of students, the ratio of girls to boys is 2:3. If 3 more girls joined the class, the ratio would be 3:4. How many students are in the class?
Choices:
55
60
65
70
Answer: B
Question: A candidate got 35% of the votes polled and he lost to his rival by 2250 votes. How many votes were cast?
Choices:
7500
7528
7527
7232
Answer: A
Question: The ratio between the sale price and the cost price of an article is 7:5. What is the ratio between the profit and the cost price of that article?
Choices:
2:5
3:6
2:0
2:1
Answer: A
Question: A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is?
Choices:
278
698
277
1911
Answer: B
Question: Of the 5 numbers, whose average is 150, the first is one-fourth of the sum of the last 4. The first number is?
Choices:
80
70
150
60
Answer: C
Question: In a rectangular coordinate system, if a line passes through the points (-14,-18), (16,22) and (x,2) then what is the value of x?
Choices:
1
2
3
4
Answer: A
Question: How many 3 digit number contain number 4 ?
Choices:
268
236
252
354
Answer: C
Question: A train speeds past a pole in 15 sec and a platform 130 m long in 25 sec, its length is?
Choices:
150
195
177
171
Answer: B
Question: A, B and C can do a work in 90, 45 and 6 days respectively. If they work together, in how many days will they complete the work?
Choices:
5
7
8
11
Answer: A
Question: The list price of an article is Rs.70. A customer pays Rs.59.85 for it. He was given two successive discounts, one of them being 10%. The other discount is?
Choices:
7%
10%
6%
5%
Answer: D
Question: A rectangle the length of which is 8 inches and the width of which is 6 inches is made up 48 1 inch by 1 inch squares. Through how many of the squares does a diagonal of the rectangle pass?
Choices:
8
10
12
16
Answer: C
Question: A person lent a certain sum of money at 4% per annum at simple interest and in 8 years the interest amounted to Rs.340 less than the sum lent. What was the sum lent?
Choices:
278
296
500
297
Answer: C
Question: A team bought a total of 450 balls. If each player on the team bought at least 12 balls, then what is the greatest possible number of players on the team?
Choices:
37
23
24
25
Answer: A
Question: What is the square root of 168,921?
Choices:
389
497
411
524
Answer: C
Question: The sum of the squares of three numbers is 138,while the sum of their products take two at a time is 131.Find the sum?
Choices:
30
20
50
40
Answer: B
Question: At the beginning of year 1, an investor puts pp dollars into an investment whose value increases at a variable rate of xnxn per year, where nn is an integer ranging from 1 to 3 indicating the year. If 85<xn<11085<xn<110 for all nn between 1 and 3, inclusive, then at the end of 3 years, the value of the investment must be between?
Choices:
$2pand $5p
$5p and $10p
$10p and $ 25p
$25p and $75p
Answer: B
Question: There are 15 balls in a jar. You take out 3 blue balls without putting them back inside, and now the probability of pulling out a blue ball is 1/3. How many blue balls were there in the beginning?
Choices:
9.
8.
7.
6.
Answer: C
Question: If + means * and * means / and / means %. What is the value of 2+3*5/7 = ?
Choices:
1.6
1.4
1.2
1.0
Answer: C
Question: The value of a 10.5% stock, in which an income of Rs.756 is derived by investing Rs.9000, brokerage being% is :
Choices:
Rs. 134.51
Rs. 124.75
Rs. 145.89
Rs. 155.89
Answer: B
Question: Ajay spends 10 per cent of his salary on house rent, 5 percent on food, 15 percent travel, 10 percent on clothes and the remaining amount of Rs.27000 is saved. What is Ajayâ€™s income?
Choices:
Rs.80500
Rs.60700
Rs.45000
None of these
Answer: C
Question: By selling 33 meters of cloth , one gains the selling price of 11 metres . Find the gain percent .
Choices:
50
40
60
55
Answer: A
Question: A driver of auto rickshaw makes a profit of 20% on every trip when he carries 3 passengers and the price of petrol is Rs. 30 a litre. Find the % profit for the same journey if he goes for 4 passengers per trip and the price of petrol reduces to Rs. 24 litres?
Choices:
60%.
80%.
100%.
120%.
Answer: C
Question: A basket of 1430 apples is divided equally among a group of apple lovers. If 45 people join the group, each apple lover would receive 9 apples less. How many W apples did each person get before 45 people joined the feast?
Choices:
21.
22.
23.
24.
Answer: B
Question: Find the time between 7 and 8 o'clock when two hands are at right angles?
Choices:
3 2/11 minutes past 7 o'clock
21 9/11 minutes past 7 o'clock
7 10/11 minutes past 7 o'clock
8 10/11 minutes past 7 o'clock
Answer: B
Question: A boy bought a pen at 40% 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:
8%
6%
2%
4%
Answer: C
Question: A can do a piece of work in 4 days. B can do it in 8 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?
Choices:
8 days
6 days
7 days
4 days
Answer: A
Question: A circular mat with diameter 40 inches is placed on a square tabletop, each of whose sides is 30 inches long. Which of the following is closest to the fraction of the tabletop covered by the mat?
Choices:
2/5
1/2
1.395
5/6
Answer: C
Question: Three numbers are in the ratio 3:5:7. The largest number value is 42. Find difference between Smallest & largest number is?
Choices:
24
27
28
32
Answer: A
Question: A four-digit code can consist of the digits 0 ~ 9 except that it does not contain the digits 1, 3, 4, and 5 at all. If repeated digits are allowed, what is the probability that it has at least one even digit?
Choices:
49/50
80/81
100/101
120/121
Answer: B
Question: Walking at 4/5 of her normal speed, a worker is 15 minutes later than usual in reaching her office. The usual time (in minutes) taken by her to cover the distance between her home and her office is
Choices:
50
55
60
65
Answer: C
Question: In the xy-plane, line e passes through point (3,-2) and intersect perpendicularly with line n that passes through points (0,3) and (3,5). What is the equation of line e?
Choices:
3x+2y-5=0
2x-3y-12=0
2x+3y=0
4x+3y-6=0
Answer: A
Question: Two varieties of wheat - A and B costing Rs. 9 per kg and Rs. 15 per kg were mixed in the ratio 3 : 7. If 5 kg of the mixture is sold at 25% profit, find the profit made?
Choices:
14.50
15.50
32:19
16.50
Answer: D
Question: Average of 9 numbers is zero. At most how many numbers may be greater than zero
Choices:
1
8
9
10
Answer: B
Question: The Price of 357 apples is Rs.2499. What will be the price of 49 dozens of such apples?
Choices:
Rs.2816
Rs.4116
Rs.3116
Rs.5116
Answer: B
Question: When ticket sales began, Pat was the pth customer in line for a ticket, and customers purchased their tickets at the rate of x customers per minute. Of the following, which best approximates the time, in minutes, that Pat had to wait in line from the moment ticket sales began?
Choices:
p + x –1
(p-1)/x
x/(p-1)
p/(x-1)
Answer: B
Question: If the average (arithmetic mean) of x, x + 2, and x + 4 is 33, what is the value of x?
Choices:
31
32
32
37
Answer: A
Question: A fair coin is tossed 3 times. What is the probability of getting at least 2 tails?
Choices:
3/2
1/2
3/4
1/4
Answer: B
Question: If M:N is 3:9 and N:P is 9:12 then M:P is equal to
Choices:
1:4
1:6
1:8
1:7
Answer: A
Question: A retailer buys a radio for Rs 225. His overhead expenses are Rs 15. He sellis the radio for Rs 300. The profit percent of the retailer is
Choices:
50%
25%
52%
None of these
Answer: B
Question: Mudit's age 18 years hence will be thrice his age four years ago. Find Mudit's present age?
Choices:
21 years
18 years
9 years
None of these
Answer: D
Question: A group consists of 4 men, 6 women and 5 children. In how many ways can 3 men, 2 women and 3 children selected from the given group?
Choices:
346 ways
600 ways
157 ways
134 ways
Answer: B
Question: A train passes a station platform in 36 sec and a man standing on the platform in 25 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Choices:
240 m
187 m
176 m
165 m
Answer: D
Question: The variable x is inversely proportional to the square of the variable y. If y is divided by 4a, then x is multiplied by which of the following?
Choices:
1/16a^2
1/4a
16a
16a^2
Answer: D
Question: Ram sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles?
Choices:
2000
2776
2679
2551
Answer: A
Question: What is the prime factors’ number of 28?
Choices:
3
4
5
6
Answer: A
Question: A began business with Rs.45000 and was joined afterwards by B with Rs.5400. When did B join if the profits at the end of the year were divided in the ratio of 2:1?
Choices:
6
7
8
2
Answer: B
Question: When the number 209y913 is exactly divisible by 11, then the smallest whole number that can replace y?
Choices:
0
2
5
9
Answer: A
Question: If the number 98348*0 is exactly divisible by 72, then the minimum value of * is?
Choices:
2
3
4
5
Answer: C
Question: In a certain series, each term is m greater than the previous term. If the 14th term is 600 and the 11th term is 540, what is the first term?
Choices:
80
140
200
240
Answer: B
Question: A man can row a boat at 30 kmph in still water. If the speed of the stream is 8 kmph, what is the time taken to row a distance of 70 km upstream?
Choices:
35/10
35/11
35/12
35/13
Answer: B
Question: The decimal 0.1 is how many times greater than the decimal (0.001)^4?
Choices:
10^9
10^10
10^11
10^12
Answer: C
Question: The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 18000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is:
Choices:
19
42
20
21
Answer: B
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
59 km/hr
34 km/hr
67 km/hr
Answer: A
Question: What number has a 5:1 ratio to the number 12?
Choices:
50
88
52
60
Answer: D
Question: A father was as old as his son's present at the time of your birth. If the father's age is 40 years now, the son's age 5years back was?
Choices:
12 years
14 years
16 years
15 years
Answer: D
Question: A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
Choices:
4.2
5.3
1.5
5.2
Answer: C
Question: Find a positive number which when increased by 17 is equal to 60 times the reciprocal of the number?
Choices:
3
6
7
9
Answer: A
Question: At a supermarket, a variety of cookies was priced at 75 cents per 100 grams. Subsequently, the price was revised to 40 cents for 30 grams of the same cookies. By approximately what percent did the ratio of price to weight increase from the initial price of 75 cents per pound?
Choices:
78
44
18
36
Answer: A
Question: In a recent election, Ms. Robinson received 8000 voters cast by independent voters, that is, voters not registered with a specific political party. She also received 20 percent of the votes cast by those voters registered with a political party. IF N is the total number of votes cast in the election and 40 percent of the votes cast were cast by independent voters, which of the following represents the number of votes that Mrs. Robbins received?
Choices:
0.1N+7200
0.4N+7200
0.12N+8000
0.06N+8000
Answer: C
Question: A number consists of 3 digits whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is:
Choices:
253
253
352
None
Answer: A
Question: If each of 3 digit code is formed of integers from 1 to 40, inclusively, and each of the digits are different, how many possible codes are there?
Choices:
59365
59280
25789
57690
Answer: B
Question: Find the odd man out. 121, 144, 169, 196, 225, 256, 288, 324, 361
Choices:
169
225
288
361
Answer: C
Question: If an integer n is to be chosen at random from the integers 1 to 96, inclusive, what is the probability that n(n + 1)(n + 2) will be divisible by 12?
Choices:
234/8
1/24
5/8
3/4
Answer: A
Question: The Diagonals of two squares are in the ratio of 2:5. find the ratio of their areas.
Choices:
4:25
3:25
3:15
None of these
Answer: A
Question: A retail appliance store priced a video recorder at 20 percent above the wholesale cost of $200. If a store employee applied the 20 percent employee discount to the retail price to buy the recorder, how much did the employee pay for the recorder?
Choices:
$216
$192
$230
$240
Answer: B
Question: What positive number, when squared, is equal to the cube of the positive square root of 18?
Choices:
32
8
4
9
Answer: D
Question: A book club rented the party room of a local restaurant to meet and discuss its current novel over dinner. The total charge, including food and service, was $ 790. If each member of the club paid at least $ 32, then what is the greatest possible number of members in the club?
Choices:
20
21
23
25
Answer: D
Question: A train running at a speed of 60 kmph crosses a pole in 3 seconds.What is the length of the train?
Choices:
180 m
190 m
150 m
50 m
Answer: D
Question: Robert ate 9 chocolates, Nickel ate 2 chocolates. How many more chocolates did Robert ate than nickel?
Choices:
B)7
C)9
D)5
E)2
Answer: A
Question: 244,180,131,95, ?
Choices:
43
44
70
39
Answer: C
Question: Virat buys an old car for Rs. 50000 and spends Rs. 1000 on its repairs. If he sells the scooter for Rs. 60000, his gain percent is:
Choices:
11 (1/9) %
12 (2/3) %
12%
17.64%
Answer: D
Question: Find the angle between the hour hand and the minute hand of a clock when the time is 3.25
Choices:
47.5
47.6
47.2
47.1
Answer: A
Question: A, B and C are partners in a business. Their capitals are respectively, Rs.5000, Rs.6000 and Rs.4000. A gets 30% of the total profit for managing the business. The remaining profit is divided among three in the ratio of their capitals. In the end of the year, the profit of A is Rs.200 more than the sum of the profits of B and C. Find the total profit.
Choices:
778
268
3000
2882
Answer: C
Question: The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:
Choices:
9600
9800
9000
9200
Answer: A
Question: A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 75, the runs scored by B are?
A. 15 B. 18
Choices:
18
99
77
24
Answer: A
Question: Two trains 140 m and 200 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:
11.8 sec
27.7 sec
10.8 sec
12.24 sec
Answer: D
Question: If the sides of a rectangle are increased by 15%, what is the percentage increase in the area?
Choices:
32.25%
37.50%
36.75%
32%
Answer: A
Question: All numbers from 1 to 200 (in decimal system) are written in base 6 and base 7 systems. How many of the numbers will have a non-zero units digit in both base 6 and base 7 notations?
Choices:
143
157
122
132
Answer: A
Question: If |10−2y|=|3y+5|, which of the following could be a value of y?
Choices:
-15
-1
5
2/3
Answer: A
Question: Find three rational numbers between 3 and 5.
Choices:
7/2, 8/2
8/2
7/2, 9/2
10/2
Answer: C
Question: 10 distinct integers are arranged in ascending order. The range of the first 7 is 25 and that of last 7 is 30. What is the maximum range T of the 10 numbers?
Choices:
27
30
52
55
Answer: C
Question: The operation is defined for all integers a and b by the equation ab = (a - 1)(b - 1). If y12 = 110, what is the value of y ?
Choices:
11
13
15
18
Answer: A
Question: In an office one half of the employees are in account section,quarter are in printing section,one-fifth are stock section and the other 50 are supervisors. How many employees total are there in the office?
Choices:
366
400
500
1000
Answer: D
Question: A swimming pool can be filled by pipe A in 3 hours and by pipe B in 6 hours, each pump working on its own. At 9 am pump A is started. At what time will the swimming pool be filled if pump B is started at 10 am?
Choices:
11:20
11:40
11:50
11:60
Answer: A
Question: If a coin is tossed three times, what is the probability that on the first toss the coin lands on tails, on the second toss the coin lands on heads, and then lands on tails on the last toss?
Choices:
1/8
1/4
1/2
1
Answer: A
Question: Jaya ranks 5th in a class of 53. What is her rank from the bottom in the class?
Choices:
49th
47th
50th
None of these
Answer: A
Question: A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 31150. What percentage of profit did he make?
Choices:
30%
40%
44%
41%
Answer: B
Question: A train of 45 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.5 km long?
Choices:
3
4.2
9
4
Answer: B
Question: Toby is four years younger than Debby. Thrice the sum of the ages of Toby and Debby equals their mother’s age. If the age of the mother is 42, find the ages of Toby and Debby?
Choices:
5 and 9
8 and 10
5 and 10
8 and 16
Answer: A
Question: what is the cost price of an article sold at rs.199 after two successive discount of 10% and 15%?
Choices:
230
240
250
260
Answer: D
Question: In what ratio should a variety of Rice costing Rs. 10 per kg be mixed with another variety of Rice costing Rs. 13.25 per kg to obtain a mixture costing Rs. 10.75 per kg?
Choices:
2 :1
5 :1
4 :1
3:1
Answer: A
Question: How many different ways can you select a pilot and a co pilot if you have 30 people to choose from?
Choices:
870
1398
4950
9900
Answer: A
Question: If the perimeter of a rectangular garden is 600 m, its length when its breadth is 100 m is?
Choices:
200 m
300 m
400 m
500 m
Answer: A
Question: The distance from Steve's house to work is 40 Km. On the way back Steve drives twice as fast as he did on the way to work. Altogether, Steve is spending 6 hours a day on the roads. What is Steve's speed on the way back from work?
Choices:
10.
14.
15.
20.
Answer: D
Question: Find the simple interest on $2000 for 3 years at 10% per annum?
Choices:
$300
$500
$600
$1000
Answer: C
Question: If n is the product of the integers from 1 to 11, inclusive, how many different prime factors greater than 1 does n have?
Choices:
Five
Six
Seven
Eight
Answer: A
Question: A canoe has two oars, left and right. Each oar either works or breaks. The failure or non-failure of each oar is independent of the failure or non-failure of the other. You can still row the canoe with one oar. The probability that the left oar works is 3/5. The probability that the right oar works is also 3/5. What is the probability W that you can still row the canoe?
Choices:
10/25
6/10
2/3
21/25
Answer: D
Question: A train covers a certain distance at a speed of 250kmph in 4 hours. To cover the same distance in 2 hours, it must travel at a speed of
Choices:
500km/hr
600km/hr
700km/hr
800km/hr
Answer: A
Question: Which of the following is a prime number
Choices:
2
4
8
9
Answer: A
Question: A farmer with 1,350 acres of land had planted his fields with corn, sugar cane, and tobacco in the ratio of 5:2:2, respectively, but he wanted to make more money, so he shifted the ratio to 2:2:5, respectively. How many more acres of land were planted with tobacco under the new system?
Choices:
150
270
300
450
Answer: D
Question: At Company K, 15 percent of the employees are secretaries and 60 percent are salespeople. If there are 40 other employees of Company K, how many employees does Company K have?
Choices:
160
190
200
400
Answer: A
Question: Sides of a rectangular park are in the ratio 3: 2 and its area is 3750 sq m, the cost of fencing it at 50 ps per meter is?
Choices:
28
200
277
267
Answer: B
Question: Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
Choices:
17 1/3
17 1/7
17 1/2
17 1/1
Answer: B
Question: 10 books are placed at random in a shelf. The probability that a pair of books will always be together is ?
Choices:
2/5
1/5
1/3
3/5
Answer: B
Question: The average salary of all the workers in a workshop is Rs. 10000. The average salary of 7 technicians is Rs. 12000 and the average salary of the rest is Rs. 8000. The total number of workers in the workshop is :
Choices:
14
88
37
29
Answer: A
Question: Pipe A and pipe B fill water into a tank of capacity 1000 litres, at a rate of 200 l/min and 50 l/min. Pipe C drains at a rate of 25 l/min. Pipe A is open for 1 min and closed, then pipe B is open for 2 min and closed. Further the pipe c is opened and drained for another 2 min. This process is repeated until the tank is filled. How long will it take to fill the tank?
Choices:
17
18
56
20
Answer: D
Question: The sum of money at compound interest amounts to thrice itself in 5 years. In how many years will it be 21 times itself?
Choices:
9 years
12 years
16 years
30 years
Answer: D
Question: A merchant can place 8 large boxes or 10 small boxes into a carton for shipping. In one shipment, he sent a total of 96 boxes. If there are more large boxes than small boxes, how many cartons did he ship?
Choices:
25
17
12
11
Answer: D
Question: What is the least possible product of 4 different integers, each of which has a value between –2 and 10, inclusive?
Choices:
–3600
–720
–1440
–120
Answer: C
Question: How many odd prime numbers are there less than 75?
Choices:
20
2
16
17
Answer: A
Question: Suresh invested a sum of Rs. 15000 at 9 percent per annum Simple interest and Rs. 12000 at 8 percent per annum compound interest for a period of 2 years. What amount of interest did Suresh earn in 2 years?
Choices:
4596.8
4696.8
4796.8
4896.8
Answer: B
Question: Anish borrowed 15000 at the rate of 12% and an other amount at the rate of 15% for two years. The total interest paid by him was 9000. How much did he borrow?
Choices:
33,000
30,000
35,000
None of these
Answer: A
Question: Let A represent a set of four distinct prime numbers. If the sum of the numbers in A is even and x is a member of A, then what is the least possible value that x can be?
Choices:
2
3
5
7
Answer: B
Question: An eight-digit telephone number consists of exactly two zeroes. One of the digits is repeated thrice. Remaining three digits are all distinct. If the first three digits (from left to right) are 987, then find the probability of having only one 9, one 8 and one 7 in the telephone number.
Choices:
1/20
1/10
5/47
5/45
Answer: B
Question: A room is 7 meters 20 centimeters in length and 4 meters 32 centimeters in Width. Find the least number of square tiles of equal size required to cover the entire floor of the room.
Choices:
15
17
19
21
Answer: A
Question: The ratio of Rita's age to her mother's age is 3:8. The difference of their ages is 35 years. The ratio of their ages after 4 years will be:
Choices:
5:12
38:43
42:47
52:47
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
58.2
59
62
Answer: A
Question: In how many W ways can the wordGMATbe arranged so that no such arrangement has A as the first letter?
Choices:
12
18
24
30
Answer: B
Question: What is the least integer greater than –1+0.5?
Choices:
–1
0
1
2
Answer: B
Question: A watch was sold at a loss of 8%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
Choices:
2876
1977
1167
2711
Answer: C
Question: 25 x 10 + 25 x 11 = ?
Choices:
720
600
525
None of them
Answer: C
Question: A person lent a certain sum of money at 4% per annum at simple interest and in 8 years the interest amounted to Rs.340 less than the sum lent. What was the sum lent?
Choices:
277
299
500
278
Answer: C
Question: If x-y=8, which of the following must be true?
I. If x is positive, y must be positive
II. If x is negative, y must be negative
III.Both x and y are positive
Choices:
II only
III only
I and II
II and III
Answer: A
Question: The winning relay team in a high school sports competition clocked 48 minutes for a distance of 13.2 km. Its runners A, B, C and D maintained speeds of 15 kmph, 18 kmph, 17 kmph, and 16 kmph respectively. What is the ratio of the time taken by B to than taken by D?
Choices:
5:17
9:8
8:9
None of these
Answer: C
Question: If 5x = 6y and xy ≠ 0, what is the ratio of 1/5*x to 1/8*y ?
Choices:
48/25
6/5
5/6
25/36
Answer: A
Question: What is the next number of the following sequence
3,7,13,21,?
Choices:
31
41
35
42
Answer: A
Question: A discount electronics store normally sells all merchandise at a discount of 10 percent to 40 percent off the suggested retail price. If, during a special sale, an additional 5 percent were to be deducted from the discount price, what would be the lowest possible price of an item costing $500 before any discount?
Choices:
$285.00
$200.00
$258.00
$210.00
Answer: A
Question: Find the total average marks of all the students in 2 separate classes, if the average marks of students in the first class of 39 students is 45 and that of another class of 35 students is 70.
Choices:
51.8
53.8
56.8
52.8
Answer: C
Question: The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 42 kmph, find the speed of the stream?
Choices:
68 kmph
14 kmph
76 kmph
57 kmph
Answer: B
Question: Each term of a certain sequence is 3 less than the previous term. The first term of this sequence is 29. If the sum of the first n terms of the sequence is n, what is the value of positive integer n?
Choices:
13
15
21
47
Answer: C
Question: What percent of 60 is 25?
Choices:
50%
42%
25%
10%
Answer: B
Question: In a certain growth fund, 3/5 of the investment capital is invested in stocks, and of that portion, 1/3 is invested in preferred stocks. If the mutual fund has $847,000 invested in preferred stocks, what is the total amount of money invested in the fund?
Choices:
$2,538,000
$3,264,000
$3,826,000
$4,235,000
Answer: D
Question: If f(x) = 2x+2 what is f(f(3))?
a. 18
b. 8
c. 64
d. 16
Choices:
18
64
16
26
Answer: A
Question: When a number is multiplied by 13,it will become greater to 105 by an amount with which it is lesser to105 by now. What is the number
Choices:
13
14
15
16
Answer: C
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:
Choices:
3 : 2
3 : 4
3 : 5
None of these
Answer: A
Question: 75% of the guestrooms at the Stagecoach Inn have a queen-sized bed, and each of the remaining rooms has a king-sized bed. Of the non-smoking rooms, 60% have a queen-sized bed. If 30% of the rooms at the Stagecoach Inn are non-smoking rooms with king-sized beds, what percentage of the rooms permit smoking?
Choices:
25%
50%
55%
75%
Answer: A
Question: If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is
Choices:
1/2
3/7
3/11
4/7
Answer: A
Question: If y is an integer, then the least possible value of |23 - 8y| is
Choices:
2
3
4
1
Answer: D
Question: A sum of money lent out at S.I. amounts to a total of $590 after 2 years and to $815 after a further period of 5 years. What was the initial sum of money that was invested?
Choices:
$500
$510
$520
$530
Answer: A
Question: Excluding stoppages,the speed of the bus is 54kmph and
including stoppages,it is 18kmph. For how many minutes does the bus stop per hr
Choices:
11 min
13 min
20 min
40 min
Answer: D
Question: It takes one machine 7 hours to complete a production order and another machine 3 hours to complete the same order. How many hours would it take both amhcines working simultaneously at their respective rates to complete the order?
Choices:
b) 1 1/2
c) 1 5/7
d) 3 1/2
e) 2 6/11
Answer: D
Question: A train 260 m long passed a pole in 26 sec. How long will it take to pass a platform 650 m long?
Choices:
91 sec
54 sec
27 sec
22 sec
Answer: A
Question: The compound ratio of 5:6, 3:2 and 4:5?
Choices:
1:7
1:2
1:1
1:4
Answer: C
Question: A batsman makes a scores of 98 runs in his 19th inning and thus increases his average by 4. What is his average after 19th inning ?
Choices:
24
28
26
29
Answer: C
Question: 2/3rd of the boys and 3/4th of the girls of a school participate in a function. If the no.of participating students is 550, out of which 150 are girls, what is the total no.of students in the school?
Choices:
460
800
880
900
Answer: B
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 even integers between 99 and 161?
Choices:
2980
3550
4030
4540
Answer: C
Question: Arun started a business investing Rs. 45,000. After three months. Pramod joined him with a capital of Rs.60,000. If at the end of one year, the total profit from the business is Rs.26,000, what would be Pramod's share in it?
Choices:
Rs.14,000
Rs.13,000
Rs.16,000
None of these
Answer: B
Question: Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate got
Choices:
56%
57%
58%
None of these
Answer: B
Question: 1^23×1^23+2^8×2^8+2×123×2^8=?
Choices:
123545
343566
325456
128513
Answer: D
Question: Marge has W candies, where W is an integer such that 20 < W< 50. If Marge divides the candies equally among 5 children, she will have 2 candies remaining. If she divides the candies among 6 children, she will have 1 candy remaining. How many candies will remain if she divides the candies among 7 children?
Choices:
1
2
3
4
Answer: B
Question: If Rs.2800 yields a simple of Rs.480 in 3 Years, calculate the percentage rate?
Choices:
10%
14.6%
12.6%
13.6%
Answer: A
Question: The sum of two consecutive number is 97. Which is the larger number?
Choices:
49
44
45
46
Answer: A
Question: The population of a bacteria culture doubles every 2 minutes. Approximately how many minutes will it take for the population to grow from 1,000 to 50,000 bacteria
Choices:
12
14
16
18
Answer: A
Question: If two numbers are in the ratio 2:3. If 10 is added to both of the numbers then the ratio becomes 3:4 then find the smallest number?
Choices:
18
20
22
24
Answer: B
Question: Here are some words translated from an artificial language.
hapllesh means cloudburst
srenchoch means pinball
resbosrench means ninepin
Which word could mean "cloud nine"?
Choices:
ochhapl
haploch
haplresbo
ochhase
Answer: C
Question: N is the greatest number which divides 1305, 4665 and 6905 and gives the same remainder in each case. What is the sum of the digits in N?
Choices:
28
4
1
25
Answer: B
Question: If A,B,C,D,E,F,G,H,I,J are in an decreasing Arithmetic Progression as such. Then Which of the following operations will result in either mean or the median being modified.
A) A is replaced by J
B) A and H are removed
C) B and I are removed
D) A,B,C,H,I,J are removed
E) A and D are removed
Choices:
2) A and E
3) A,B,E
4) All of them
5) None of them
Answer: B
Question: The perimeter of an isosceles right triangle is 10 + 10 sq rt 2. What is the length of the hypotenuse of the triangle?
Choices:
6
7.07
8
9
Answer: B
Question: The relationship between quantities m and n is expressed by the equation 10m = 5(n - 42). If the difference between the two chosen values of n is 30, what is the difference in the corresponding values of m?
Choices:
42/11
60/11
150/11
15
Answer: D
Question: A women walking at 5 Kmph reaches her office 8 minutes late. If she walks at 9 Kmph, she reaches there 8 minutes earlier. How far is the office from her house?
Choices:
3 Km
4 1/3 Km
5 Km
5 1/3 Km
Answer: A
Question: On a map, 3.5 inches represent 35 miles. How many miles approximately is the distance if you measured 127 centimeters assuming that 1-inch is 2.54 centimeters?
Choices:
500
525
530
535
Answer: A
Question: A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
Choices:
22 2/2 kmph
22 1/4 kmph
22 1/2 kmph
42 1/2 kmph
Answer: C
Question: Tough and Tricky questions: Exponents.
If 3^m3^m2^m = 9^n, then m/n =
Choices:
2/3
1
3/2
3
Answer: A
Question: The tax on a commodity is diminished by 30% but its consumption is increased by 10%. Find the decrease percent in the revenue derived from it?
Choices:
14%
16%
20%
23%
Answer: D
Question: If 12 and 15 are the lengths of two sides of a triangular region, which of the following can be the length of the third side?
I. 10
II. 20
III. 30
Choices:
II only
I and II only
II and III only
I, II, and III
Answer: B
Question: Fill in the blank with the correct number in this number series: 3, 9, 8, 7, __, 5, 18, ?
Choices:
7
9
10
13
Answer: D
Question: The larger of two negative consecutive even integers 2t and 2(t-1) is multiplied by 2 and then added to the smaller of the two original integers. Which of the following represents this operation?
Choices:
6t-2
-2
3
-2-4t^2
Answer: A
Question: A passenger sitting near the window in a train moving at 40 km/h, noticed that it took 3 sec. for the oncoming train to pass by. What was the speed of the oncoming train if the length of the oncoming train was 66 metres?
Choices:
a)39.2km/h
c)56km/h
d)60km/h
e)70km/h
Answer: A
Question: A cistern 10 m long and 8 m wide contains water up to a depth of 1 m 50 cm. The total area of the wet surface is:
Choices:
136 m2
128 m2
130 m2
134 m2
Answer: D
Question: What is the difference between local value & face value of 9 in the numeral 65793?
Choices:
8956
8991
9890
10000
Answer: B
Question: A man covers a certain distance Win a train. If the train moved 4km/hr faster, it would take 30 min less. If it moved 2km/hr slower, it would take 20 mins more. Find the distance?
Choices:
50 km
20 km
60 km
80 km
Answer: C
Question: If x and y are positive integers and x = 5y + 2, what is the remainder when x is divided by 5?
Choices:
1
2
3
4
Answer: B
Question: We define that K@J is the product of j number from k in increasing order for positive integers K, J. For example, 6@4=6*7*8*9. If A=2020and B=2120, what is the value T of the ratio A/B?
Choices:
1/2
2/3
1/4
1/5
Answer: A
Question: The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent?
Choices:
18 2/11%
12 2/12%
13 2/9%
14 2/7%
Answer: A
Question: Bradley owns b/2 video game cartridges. If Bradleyâ€™s total is one-half the total owned by Andrew and four times the total owned by Charlie, how many video game cartridges do the three of them own altogether, in terms of b?
Choices:
(17/4)b
(13/8)b
(9/2)b
(7/12)b
Answer: C
Question: Find the value of y from (12)^3 x 6^2 ÷ 432 = y?
Choices:
2234
2540
2560
144
Answer: D
Question: On dividing a number by 56, we get 26 as remainder. On dividing the same number by 8, what will be the remainder ?
Choices:
2
4
5
6
Answer: A
Question: Avinash covers a distance of 8km in 50 minutes. If he covers 3km distance in 2/5th of time then, What speed should he maintain to cover the remaining distance in the remaining time?
Choices:
15 Kmph
30 Kmph
32 Kmph
34 Kmph
Answer: A
Question: In store A there are 10 pairs of pants for every 40 store B has. The price ratio between the pants in store B and the pants in store A is 3:4. If all the pants were sold in both places until the stock ran out, what is the ratio between the total amount stores A earned to the total amount store B earned?
Choices:
2:3.
1:3.
3:4.
2:5
Answer: B
Question: Cream costs twice as much as skim milk. A certain brand of milk is 3/5 cream and 2/5 skim milk. What fraction of the cost of this brand is due to the cream?
Choices:
1/3
2/3
3/4
4/5
Answer: C
Question: What is the total number of integers between 20 and 80 (exclusive)that are divisible by 10?
Choices:
5
4
9
3
Answer: A
Question: If the sum of the first n even positive integers is S, what is the sum of the first n positive integers, in terms of S ?
Choices:
S/2
2S
2S + 2
4S
Answer: A
Question: Working simultaneously and independently at an identical constant rate, 5 machines of a certain type can produce a total of x units of product P in 4 days. How many of these machines, working simultaneously and independently at this constant rate, can produce a total of 2x units of product P in 2 days?
Choices:
13
15
18
20
Answer: D
Question: Exactly 36% of the numbers in set E are even multiples of 3. If 40% of the even integers in set E are not multiples of 3, what percent of the numbers in set E are not even integers?
Choices:
60%
50%
40%
24%
Answer: C
Question: In what ratio should two varieties of sugar of Rs.18 per kg and Rs.24 kg be mixed together to get a mixture whose cost is Rs.20 per kg?
Choices:
16.5
16.56
13.5
16.51
Answer: A
Question: The average of first 7 prime numbers is?
Choices:
11.11
8.29
13.11
14.11
Answer: B
Question: In how many ways, a committee of 10 members can be selected from 8 men and 6 ladies, consisting of 6 men and 4 ladies?
Choices:
360
420
310
455
Answer: B
Question: The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is:
Choices:
19
22
20
21
Answer: D
Question: The product of two positive integers is 1023 and their difference is 2. What is the bigger number?
Choices:
31
33
35
37
Answer: B
Question: If x, y, and z are positive integers, and 4x = 5y = 6z, then the least possible value of x + y + z is
Choices:
28
37
42
60
Answer: B
Question: Find out the wrong number in the given sequence of numbers.
36, 54, 18, 27, 9, 18.5, 4.5
Choices:
18.5
18.0
18.1
18.7
Answer: A
Question: If “GREEN” is given number code as 49, what is the difference between the number codes of “VIOLET” and “PINK” ?
Choices:
45
33
60
40
Answer: B