antoine-444/aqua_rat_dataset huggingface dataset:
Question: The number of students in the three sections of a class are in the ratio 2:3:4. The average marks scored in each of these sections is in the ratio 4:3:1. By what percent is the average mark of the second section more than the class average?
Choices:
28.57%
32.38%
36.74%
38.74%
Answer: A
Question: If a*b=2a-3b+ab,then3*5+5*3 is equal to
Choices:
22
26
28
30
Answer: A
Question: A, B and C started a business with capitals of Rs. 8000, Rs. 10000 and Rs. 12000 respectively. At the end of the year, the profit share of B is Rs. 1500. The difference between the profit shares of A and C is?
Choices:
277
298
600
271
Answer: C
Question: The average of a non zero number and its square is 5 times the number. The number is
Choices:
9
29
295
None
Answer: A
Question: If the mean of numbers 38, x, 70, 88 and 110 is 69, what is the mean of 50, 72, 97, 125,147 and x?
Choices:
77.86
86.67
66.69
70.56
Answer: B
Question: What is the ratio whose terms differ by 40 and the measure of which is 2⁄7
Choices:
16 : 56
15 : 56
16 : 72
None of these
Answer: A
Question: Find the greatest number which leaves the same remainder when it divides 21, 57 and 105.
Choices:
8
12
16
None of these
Answer: B
Question: Two pipes A and B can fill a tank in 15 min and 20 min respectively. Both the pipes are opened together but after 4 min, pipe A is turned off. What is the total time required to fill the tank?
Choices:
11 min 45 sec
12 min 30 sec
14 min 40 sec
15 min 40 sec
Answer: C
Question: Tommy makes a bet that a coin will land on heads 2 times out of 8. After the first 6 tosses, the coin has landed on heads twice and tails four times. What is the probability that Tommy will win the bet?
Choices:
1/4
1/8
1/3
1/6
Answer: A
Question: what is the remainder when 7894104 is divided by 72
Choices:
25
32
4
24
Answer: D
Question: If c and d are prime numbers, which of the following CANNOT be the sum of c and d?
Choices:
9
13
23
33
Answer: C
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 180 metres and they cross each other in 12 seconds, then the speed of each train (in km/hr) is:
Choices:
52 km/hr.
34 km/hr.
54 km/hr.
36 km/hr.
Answer: C
Question: Rodrick mixes a martini that has a volume of 'n' ounces having 40% Vermouth and 60% Gin by volume. He wants to change it so that the martini is 50% Vermouth by volume. How many ounces of Gin must he add?
Choices:
n/3
3n/5
5n/6
8n/5
Answer: A
Question: A number when, 28 subtracted from it reduces to its one third. What is the value of 50% of that number?
Choices:
84
21
24
25
Answer: B
Question: Laura took out a charge account at the General Store and agreed to pay 5% simple annual interest. If she charges $35 on her account in January, how much will she owe a year later, assuming she does not make any additional charges or payments?
Choices:
$36.75
$37.16
$38.10
$38.80
Answer: A
Question: Sheik Abdullah decides to buy 4 new cars for his collection. If he has to choose between nine different cars, what is the number of purchasing possibilities he has?
Choices:
B)116
C)126
D)136
E)146
Answer: B
Question: There were five baskets of apples on the table. Each basket had one more apple in it than the basket before it. The average number of apples in the baskets A, B, C, D and E is 220. What percent is E of C ?
Choices:
99.1
99.3
99.4
99.5
Answer: A
Question: Find the average of the first 20 natural numbers?
Choices:
10.8
10.2
10.5
10.4
Answer: C
Question: A car traveling at a certain constant speed takes 15 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 48 kilometers per hour. At what speed, in kilometers per hour, is the car traveling?
Choices:
40
41
42
43
Answer: A
Question: Jennifer had $180 to spend on herself. She spent 1/5 of the money on a sandwich, 1/6 for a ticket to a museum, and 1/2 of it on a book. How much money does Jennifer have left over?
Choices:
$14
$5
$15
$24
Answer: D
Question: Of the 200 stamps in a collection, 90 are foreign and 60 are more than 10 years old. If 20 stamps are both foreign and more than 10 years old, how many stamps are neither foreign nor more than 10 years old?
Choices:
70
100
130
150
Answer: A
Question: Read the following three equations:
5 ~ 4 ~ 3 ~ 9 = 4215
6 ~ 9 ~ 2 ~ 6 = 3816
4 ~ 7 ~ 3 ~ 3 = 1122
Now based on the rule that has been used, solve the following equation:
4 ~ 2 ~ 7 ~ 4 = ____
Choices:
1416
2940
3749
4470
Answer: A
Question: Of the 800 employees of Company X, 80 percent have been with the company for at least ten years. If y of theselong-termmembers were to retire and no other employee changes were to occur, what value of y would reduce the percent oflong-termemployees in the company to 60 percent ?
Choices:
400
112
80
56
Answer: A
Question: In how many ways can a group of 6 men and 3 women be made out of a total of 7 men and 4 women?
Choices:
29
70
74
28
Answer: D
Question: Suraj has a certain average of runs for 9 innings. In the 10th innings he scores 200 runs thereby increasing his average by 8 runs. What is his average after the 10th innings?
Choices:
190
128
178
190
Answer: B
Question: The duplicate ratio of 2:3 is?
Choices:
4:9
1:8
1:18
1:13
Answer: A
Question: If x is 25 percent greater than 88, then x =
Choices:
110
86
105.6
108
Answer: A
Question: On a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with four times the amount of water. On both days, all the orangeade that was made was sold. If the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $0.40 per glass on the first day, what was the price per glass on the second day?
Choices:
$0.16
$0.30
$0.40
$0.45
Answer: A
Question: In a games hour 4 different types of players came to the ground? cricket 11, hockey 15, football 21, softball 15. In these 4 people play both cricket and hockey, 3people play both softball and football. 4 people play both cricket and football. How many people play only cricket?
Choices:
3
5
7
9
Answer: A
Question: A discount electronics store normally sells all merchandise at a discount of 10 percent to 30 percent off the suggested retail price. If, during a special sale, an additional 20 percent were to be deducted from the discount price, what would be the lowest possible price of an item costing $260 before any discount?
Choices:
$145.60
$163.80
$182.00
$210.00
Answer: A
Question: 8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of the water is 16 : 65. How much wine the cask hold originally ?
Choices:
24 litres
32 litres
42 litres
None
Answer: A
Question: In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race?
Choices:
190 sec
176 sec
716 sec
123 sec
Answer: A
Question: To apply for the position of photographer at a local magazine, a photographer needs to include two or three photos in an envelope accompanying the application. If the photographer has pre-selected seven photos representative of her work, how many choices does she have to provide the photos for the magazine?
Choices:
48
56
60
64
Answer: B
Question: A man counted his animals, 80 heads and 240 legs (ducks and goats). how many goats are there?
Choices:
40
50
60
70
Answer: A
Question: There are some rabbits and peacocks in a zoo. The total number of their heads is 60 and total number of their legs is 192. Find the number of total rabbits?
Choices:
36
88
99
22
Answer: A
Question: How many seconds will a train 200 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
Choices:
35 sec
25 sec
18 sec
17 sec
Answer: A
Question: A shopkeeper sold 10 articles at the cost price of 12 articles. Then find the profit% or lost%
Choices:
10%
15%
20%
25%
Answer: C
Question: What is the perimeter of a regular polygon with sides of length 12 cm and internal angles measuring 84° each?
Choices:
45 cm
120 cm
132 cm
144 cm
Answer: A
Question: a^3 - b^3 - 3ab = 1,
a^3 - b^3 + ab = x! + 1,
where a,b,x are positive integers,x is least.
Find (a + b) ?
Choices:
3
4
5
6
Answer: C
Question: Which of the following CANNOT be a value of 8/(x–8)?
Choices:
-1/2
0
2
8
Answer: B
Question: Alok ordered 16 chapatis, 5 plates of rice, 7 plates of mixed vegetable and 6 ice-cream cups. The cost of each chapati is Rs.6, that of each plate of rice is Rs.45 and that of mixed vegetable is Rs.70. The amount that Alok paid the cashier was Rs.1021. Find the cost of each ice-cream cup?
Choices:
35
77
99
91
Answer: A
Question: If green means red, red means yellow, yellow means blue, blue means orange and orange means green, what is the colour of sun ?
Choices:
Red
Yellow
Orange
Pink
Answer: A
Question: Before leaving home for the town of Madison, Pete checks a map which shows that Madison is 5 inches from his current location, Gardensquare. Pete arrives in Madison 6.5 hours later and drove at an average speed of 60 miles per hour. At what scale, in inches per mile, is the map drawn?
Choices:
1/30
1/10
1/78
30
Answer: C
Question: How many times digit 2 is used while writing numbers from 400 to 700?
Choices:
150
250
80
130
Answer: A
Question: A trader bought a car at 10% discount on its original price. He sold it at a 80% increase on the price he bought it. What percent of profit did he make on the original price?
Choices:
62%
12%
19%
22%
Answer: A
Question: A car traveled 45% of the way from Town A to Town B at an average speed of 45 mph.
The car traveled at an average speed of v mph for the remaining part of the trip.
The average speed for the entire trip was 50 mph. What is v in mph?
Choices:
55
65
43
42
Answer: A
Question: One-sixth of the attendees at a certain convention are female students, two-thirds of the attendees are female, and one-third of the attendees are students. If 100 of the attendees are neither female nor students, what is the total number of attendees at the convention?
Choices:
600
800
900
1000
Answer: A
Question: Length of a rectangular plot is 14 mtr more than its breadth. If the cost of fencing the plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr?
Choices:
57 m
80 m
82 m
84 m
Answer: A
Question: A car traveling at a certain constant speed takes 10 seconds longer to travel 1 km than it would take to travel 1 km at 80 km/hour. At what speed, in km/hr, is the car traveling?
Choices:
72
74
65
78
Answer: C
Question: A room 5m 55cm long and 3m 74cm broad is to be paved with square tiles. Find the least number of square tiles required to cover the floor?
Choices:
176
185
188
None
Answer: A
Question: On Sunday morning, Pugsley and Wednesday are trading pet spiders. If Pugsley were to give Wednesday two of his spiders, Wednesday would then have nine times as many spiders as Pugsley does. But, if Wednesday were to give Pugsley six of her spiders, Pugsley would now have six fewer spiders than Wednesday had before they traded. How many pet spiders does Pugsley have before the trading game commences?
Choices:
4
8
10
20
Answer: A
Question: The average of the marks of 25 students in a class is 70. If the marks of each student are doubled, find the new average?
Choices:
140
85
160
190
Answer: A
Question: If A and B get profits of Rs.60,000 and Rs.6,000 respectively at the end of year then ratio of their investments are
Choices:
10:1
3:2
2:3
2:5
Answer: A
Question: A horse is tethered to one corner of a rectangular grassy field 42 m by 26 m with a rope 16 m long. Over how much area of the field can it graze?
Choices:
308 m2
201 m2
205 m2
None of these
Answer: B
Question: The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
70, 10 kmph
50, 60 kmph
45, 55 kmph
45, 65 kmph
Answer: A
Question: Two dice are tossed. The probability that their product is a prime number is:
Choices:
1/6
1/4
2/9
2/2
Answer: A
Question: In a rectangular coordinate system, if a line passes through the points (-12,-18), (18,22) and (x,2) then what is the value of x?
Choices:
3
4
5
6
Answer: A
Question: hat should come in place of question mark (?) in the following equation ?
197 × ? + 16(2) = 2620
Choices:
12
14
16
None of these
Answer: A
Question: A man took loan from a bank at the rate of 12% p.a. S.I. After 10 years he had to pay Rs. 1500 interest only for the period. The principal amount borrowed by him was?
Choices:
1900
1250
1750
2000
Answer: B
Question: Consider a lady took a loan from a bank at the rate of 12% p.a. simple interest. After 3 years she had to pay Rs. 7200 interest only for the period. The principal amount borrowed by her was
Choices:
Rs. 10000
Rs. 15000
Rs. 20000
None of these
Answer: C
Question: What annual payment will discharge a debt of Rs. 1025 due in 2 years at the rate of 5% compound interest?
Choices:
Rs. 551.25
Rs. 560
Rs. 560.75
Rs. 660.75
Answer: A
Question: What is the last digit of (2^3)^4 ?
Choices:
2
6
4
8
Answer: A
Question: Anil invested a sum of money at a certain rate of simple interest for a period of five years. Had he invested the sum for a period of eight years for the same rate, the total intrest earned by him would have been sixty percent more than the earlier interest amount. Find the rate of interest p.a.
Choices:
8PR/100
8PR/102
8PR/100
8PR/101
Answer: C
Question: When positive integer x is divided by 11, the quotient is y and the remainder is 4. When 2x is divided by 8, the quotient is 3y and the remainder is 1. What is the value of 13y – x ?
Choices:
3
4
5
6
Answer: A
Question: If x is a positive integer, f(x) is defined as the number of positive integers which are less than x and do not have a common factor with x other than 1. If x is prime, then f(x) =?
Choices:
x-1
(x+1)/2
(x-1)/2
2
Answer: A
Question: If q and y are positive integer and q/y is an even integer, which of the following can be an odd integer?
Choices:
xy
x−y
x+2y
q/3
Answer: D
Question: Cheese, bologna, and peanut butter sandwiches were made for a picnic in a ratio of 4 to 5 to 11. If a total of 120 sandwiches were made, how many bologna sandwiches
were made?
Choices:
30
38
42
48
Answer: A
Question: P and Q can complete a work in 20 days and 12 days respectively. P alone started the work and Q joined him after 4 days till the completion of the work. How long did the work last?
Choices:
9 days
30 days
20 days
10 days
Answer: D
Question: For some integer m, m^2 - 5 is divisible by all of the following EXCEPT
Choices:
41
30
31
29
Answer: B
Question: John deposited $10,000 to open a new savings account that earned 8 percent annual interest, compounded quarterly. If there were no other transactions in the account, what was the amount of money in John’s account 6 months after the account was opened?
Choices:
$10,101
$10,200
$10,201
$10,404
Answer: D
Question: The number of the members of a club is more than 50 and less than 80. When 4 people sit at a table, other people exactly divided to 8-people groups (8 people sit at a table) or 7-people groups (7 people sit at a table). If the members are divided to 9-people groups, how many people will be left?
Choices:
2
4
6
8
Answer: C
Question: A sum was put at simple interest at a certain rate for 3 years. Had it been put at 2% higher rate, it would have fetched Rs. 360 more. Find the sum.
Choices:
Rs. 60
Rs. 60000
Rs. 600000
Rs. 6000
Answer: D
Question: The length of rectangle is thrice its breadth and its perimeter is 88 m, find the area of the rectangle?
Choices:
363 sq m
452 sq m
428 sq m
525 sq m
Answer: A
Question: A rectangular tiled patio is composed of 80 square tiles. The rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles. After the change in layout, the patio will still have 80 tiles, and it will still be rectangular. How many rows are in the tile patio before the change in layout?
Choices:
6
10
12
28
Answer: C
Question: The distance from Steve's house to work is 35 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.
17.5
Answer: D
Question: During a certain two-week period, 60 percent of the movies rented from a video store were comedies, and of the remaining movies rented, there were 3 times as many dramas as action movies. If no other movies were rented during that two-week period and there were A action movies rented, then how many comedies, in terms of A, were rented during that two-week period?
Choices:
6 A
8 A
14 A
20 A
Answer: A
Question: For any natural number n, F(n) is the least common multiple of all natural numbers upto. For how many values of n less than 100, F(n+1) - F(n) = 0?
Choices:
64
29
27
01
Answer: A
Question: How many integers between 263,205and 658,805 have tens digit 1 and units digit 3?
Choices:
3,925
3,956
3,926
3,915
Answer: B
Question: What is the perimeter of a regular polygon with sides of length 15 cm and internal angles measuring 145° each?
Choices:
108 cm
120 cm
132 cm
154.28 cm
Answer: D
Question: A man can row with a speed of 15 kmph in still water. If the stream flows at 20 kmph, then the speed in downstream is?
Choices:
27
20
99
35
Answer: D
Question: Every person in a certain group is either a Cowboys fan or a Saints fan, but not both. The ratio of Cowboys fans to Saints fans is 6 to 4. If 54 Cowboys fans change teams to become Saints fans, the ratio of Saints fans to Cowboys fans will be 1 to 1. How many people are in the group?
Choices:
64
30
360
240
Answer: C
Question: In what time a sum of money double itself at 4% per annum simple interest?
Choices:
25%
83 1/3%
33 4/3%
73 1/3%
Answer: A
Question: Cara and Dan will throw three dice each. The score is the sum of points on all three dice. If Cara scores 16 in her attempt, what is the probability that Dan will outscore Cara in his attempt?
Choices:
1/54
5/54
1/216
5/216
Answer: A
Question: Each of the three people individually can complete a certain job in 4, 5, and 6 hours, respectively. What is the lowest fraction of the job that can be done in 1 hour by 2 of the people working together at their respective rates?
Choices:
7/30
11/30
5/18
7/18
Answer: B
Question: A car traveled 40% of the way from Town X to Town Y at an average speed of 40 mph. The car traveled at an average speed of v mph for the remaining part of the trip. The average speed for the entire trip was 50 mph. What is v in mph?
Choices:
45
55
60
65
Answer: C
Question: The ratio of the volumes of two cubes is 343 : 512. What is the ratio of their total surface areas?
Choices:
8:16
45:25
18:56
49:64
Answer: D
Question: A car mechanic purchased four old cars for Rs. 1 lakh. He spent total 2 lakh in the maintenance and repairing of these four cars. what is the average sale price of the rest three cars to get 40% total profit if he has already sold one of the four cars at Rs. 1.2 lakh?
Choices:
1.0 lakh
1.9 lakh
8.1 lakh
6.1 lakh
Answer: A
Question: 3 persons started placementpapers with a capital of Rs.3000 . B invest Rs.600 less than A, C invest Rs.300 less than B. Then what is the share amount of B in a profit of Rs.886 ?
Choices:
Rs.265.8
Rs.285.8
Rs.365.8
Rs.165.8
Answer: A
Question: A jogger running at 9 km/hr along side a railway track is 200 m ahead of the engine of a 210 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
Choices:
20
36
41
34
Answer: C
Question: Two equilateral triangle of side 12cm are placed one on top another, such a 6 pionted star is formed if the six vertices lie on a circle what is the area of the circle not enclosed by the Star?
Choices:
21
269
279
2701
Answer: A
Question: Rectangular tile each of size 70cm by 30cm must be laid horizontally on a rectangular floor of size 110cm by 130cm,such that the tiles do not overlap and they are placed with edges jutting against each other on all edges. A tile can be placed in any orientation so long as its edges are parallel to the edges of floor. No tile should overshoot any edge of the floor. The maximum number of tiles that can be accommodated on the floor is:
Choices:
6
7
8
9
Answer: A
Question: If x is positive integer,y is negative integer, and 5x+2y=4, which of the following could be the value of x ?
Choices:
1
2
3
4
Answer: B
Question: Each of the cucumbers in 100 pounds of cucumbers is composed of 99% water, by weight. After some of the water evaporates, the cucumbers are now 98% water by weight. What is the new weight of the cucumbers, in pounds?
Choices:
50
92
96
98
Answer: A
Question: Working alone, John finishes cleaning half the house in a third of the time it takes Nick to clean the entire house alone. John alone cleans the entire house in 6 hours. How many hours will it take Nick and John to clean the entire house if they work together?
Choices:
2
2.4
3
3.6
Answer: D
Question: Line J has a y-intercept of 7 and passes through point (a,b). What is the slope of Line J in terms of a and b?
Choices:
(b-7)/a
(6−a)/b
(6−b)/a
(b−6)/a
Answer: A
Question: A candy company sells premium chocolate at $3 per pound and regular chocolate at $4 per pound in increment of whole pound only.If Barrett buys a pack of candies which costs him $31, how many pounds of premium chocolates are in the box?
Choices:
[A] 1
[C] 3
[D] 4
[E] 5
Answer: A
Question: Two trains, each 100 m long, moving in opposite directions, cross other in 5 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
42 km/hr
46 km/hr
Answer: C
Question: If a certain number is divisible by 22 and 40, it is NOT necessarily divisible by which of the following?
Choices:
11
20
42
44
Answer: C
Question: Which of the following options is an appropriate approximate value in the following equation’? 3 4/3 of 155.83+22% of 1547= ? - 504.7
Choices:
1557.94
1257.94
1837.94
1857.94
Answer: D
Question: Mario and Nina each have a bag of marbles, each of which contains 12 blue marbles, 10 red marbles, and 18 white marbles. If Mario and Nina each select one marble from their respective bags, what is the probability that either Mario or Nina select a red marble?
Choices:
2/4
1/4
1/8
1/16
Answer: C
Question: The average weight of 10 person's increases by 5 kg when a new person comes in place of one of them weighing 60 kg. What is the weight of the new person?
Choices:
86.5
87.5
110
89.5
Answer: C
Question: Find the principle on a certain sum of money at 5% per annum for 3 1/5 years if the amount being Rs.580?
Choices:
Rs.500
Rs.530
Rs.540
None of these
Answer: A
Question: The tax on a commodity is diminished by 20% and its consumption increased by 15%. The effect on revenue is?
Choices:
8% decrease
6% decrease
1% decrease
2% decrease
Answer: A
Question: In order to fence a square Manish fixed 48 poles. If the distance between two poles, is 1 metres then what will be the area of the square so formed?
Choices:
144 cm2
2500 cm2
302 cm2
None of these
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 $70?
Choices:
12
15
20
24
Answer: B
Question: The number of sequences in which 3 players can throw a ball, so that the youngest player may not be the last is ?
Choices:
8
5
4
10
Answer: C
Question: There are 12 balls in a jar: 6 red, 2 blue and 4 green. If a single ball is drawn from the jar, what is the probability of that it is either blue or red?
Choices:
1/4
1/2
2/3
3/4
Answer: C
Question: How many pairs of letters in the word 'CHAIRS' have as many letters between them in the word as in the alphabet?
Choices:
2
6
8
3
Answer: A
Question: A bag contains 25 paise, 50 paise and 1 rupee coins in the ratio 7:4:3 . total no. of coins is 360. sum of total coins is Rs. 99 so how many 25 paise coins?
Choices:
170
180
190
200
Answer: B
Question: Three people each took 5 tests. If the ranges of their scores in the 5 practice tests were 20, 28 and 35, what is the minimum possible range in scores of the three test-takers?
Choices:
35
25
15
28
Answer: A
Question: Which of the following numbers is between 1⁄5 and 1⁄6?
Choices:
.35
.29
.22
.18
Answer: D
Question: A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 90 km/hr. What is the length of the platform?
Choices:
240
400
277
221
Answer: B
Question: Which is smallest prime number?
Choices:
3
7
19
4
Answer: A
Question: Water consists of hydrogen and oxygen, and the approximate ratio, by mass, of hydrogen to oxygen is 2:16. Approximately how many grams of oxygen are there in 126 grams of water?
Choices:
112
114
116
118
Answer: A
Question: P and Q started a business investing Rs 85000 and Rs 10000 resp. In what ratio the profit earned after 2 years be divided between P and Q respectively.
Choices:
17:3
17:6
17:2
17:8
Answer: C
Question: The area of a circle is increased by 300%. By what percent has the radius of the circle increased?
Choices:
200%
100%
600%
800%
Answer: B
Question: If the number 54773*4 is completely divisible by 8, then the smallest whole number in place of * will be?
Choices:
2
3
4
None of these
Answer: C
Question: On multiplying a number F by 153, the result obtained was 102325. However, it is found that both the 2's are wrong. Find the correct result.
Choices:
107375
108385
109395
105355
Answer: C
Question: The number of livestock in a farm at the beginning of year 2000 was 110,000. During the year, the number increased by p%. During the next year 2001, there was a famine and the number decreased by q%. A census at the end of year 2001 revealed that the number of livestock in the farm was 110,000. Which of the following expressions is correct?
Choices:
p > q
p = q
With the exception of 1 instance, p will be equal to q
There is no relation between p and q
Answer: A
Question: Salesperson A's compensation for any week is $360 plus 6 percent of the portion of A's total sales above $2,000 for that week. Salesperson B's compensation for any week is 8 percent of A's total sales for that week. For what amount of total weekly sales would both salepeople earn the same compensation?
Choices:
$12,000
$15,000
$ 4,500
$4,000
Answer: A
Question: Panjali walked for 3 days. She walked 18 miles on the first day, walking 3 miles per hour. On the second day she walked for one less hour but she walked one mile per hour, faster than on the first day. On the third day she walked the same number of hours as on the first day, but at the same speed as on the second day. How many miles in total did she walk?
Choices:
44
58
60
62
Answer: D
Question: A sum fetched a total simple interest of 4016.25 at the rate of 9 %.p.a. in 5 years. What is the sum?
Choices:
8925
2345
6474
8723
Answer: A
Question: How many liters of water must be evaporated from 50 liters of a 2 percent sugar solution to get a 4 percent sugar solution?
Choices:
25
30
35
40
Answer: A
Question: A solution is 90% glycerin. If there are 4 gallons of the solution, how much water, in gallons must be addded to make a 75% glycerin solution
Choices:
1.4
1.2
1.0
0.8
Answer: D
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 18 kmph, find the speed of the stream?
Choices:
9 kmph
7 kmph
6 kmph
5 kmph
Answer: C
Question: 2 oranges, 3 bananas and 4 apples cost Rs.15 . 3 oranges 2 bananas 1 apple costs Rs 10. what is the cost of 3 oranges, 3 bananas and 3 apples?
Choices:
15
17
18
19
Answer: A
Question: The function g(y) is defined for integers y such that if y is even, g(y) = y/2 and if y is odd, g(y) = y + 5. Given that g(g(g(g(g(y))))) = 19, how many possible values for y would satisfy this equation?
Choices:
5
7
8
11
Answer: C
Question: After his first semester in college, Thomas is applying for a scholarship that has a minimum Grade Point Average (GPA) requirement of 3.5. The point values of pertinent college grades are given in the table below. If Thomas took 2 courses, each with an equal weight for GPA calculations, and received two grades of A-, one grade of B+, and one grade of B, what is the lowest grade that Thomas could receive for his fifth class to qualify for the scholarship?
Point Values of Select Grades
Grade: A | A- | B+ | B | B- | C+ | C | C-
Value: 4 | 3.7 | 3.3 | 3 | 2.7 | 2.3 | 2 | 1.7
Choices:
B+
B
B-
C+
Answer: C
Question: A train starts full of passengers at the first station it drops 1/3 of the passengers and takes 280 more at the second station it drops one half the new total and takes twelve more. On arriving at the third station it is found to have 242 passengers. Find the no of passengers in the beginning?
Choices:
270
192
144
168
Answer: A
Question: A meeting has to be conducted with 4 managers. Find the number of ways in which the managers be selected from among 7 managers, if 2 managers will not attend the meeting together?
Choices:
25
35
36
38
Answer: A
Question: On taking delivery of a consignment of eggs the market stall owner was furious to find that several were cracked. In fact, on counting them up in order to assess the damage he found that 72 were cracked, which was 12 per cent of the total consignment. How many eggs in total were in the consignment?
Choices:
600
700
800
900
Answer: A
Question: The radius of the two circular fields is in the ratio 3: 5 the area of the first field is what percent less than the area of the second?
Choices:
62%
24%
64%
66%
Answer: C
Question: There is a sequence such that each term is positive integer and each digit of the terms in the sequence has 3 to be ordered, what is the value W of 100th term?
Choices:
192
232
252
342
Answer: D
Question: Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 2 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?
Choices:
19:2
19:8
19:5
19:6
Answer: C
Question: Kunal bought a suitcase with 15% discount on the labelled price. He said the suitcase for Rs.2880 with 20% profit on the labelled price. At what price did he buy the suitcase?
Choices:
Rs.2040
Rs.2604
Rs.2640
None
Answer: A
Question: The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8215 for a computer table, then what was the cost price of the computer table?
Choices:
6887
6728
6625
2871
Answer: C
Question: How many of the positive factors of 36 are not factors of 72
Choices:
0
4
5
1
Answer: A
Question: A, B and C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 245, how much must C pay as his share of rent?
Choices:
50
55
63
none
Answer: C
Question: Find the missing figures :
?% of 25 = 20125
Choices:
8.5
8.7
7.7
4.5
Answer: A
Question: Simplify: 250 x 250 - 100 x 100
Choices:
761400
52500
761500
None of them
Answer: B
Question: A trader has 70 kg of rice, a part of which he sells at 14% profit and rest at 6% loss. On the whole his loss is 4% . What is the quantity sold at 14% profit and that at 6% loss?
Choices:
7 and 63 kg
15 and 35 kg
20 and 30 kg
40 and 30 kg
Answer: A
Question: A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 6km?
Choices:
3
9
7
2
Answer: A
Question: The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?
Choices:
20
24
28
30
Answer: D
Question: P is a prime number. If 6p is between 15 and 95, which of the following J can be a value of 7p + 2?
Choices:
J=79
121
65
21
Answer: A
Question: In a lottery there are 100 prizes and 300 blanks. A lottery is drawn at random. What is the probability of getting a prize?
Choices:
5/400
1/5
1/3
1/4
Answer: D
Question: A man buys Rs. 56 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is:
Choices:
s. 15
s. 18
s. 21
s. 42
Answer: D
Question: An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 4 utility stocks, how many different combinations of 7 stocks are possible?
--
Choices:
19
360
580
720
Answer: B
Question: A can run 160 metre in 28 seconds and B in 32 seconds. By what distance A beat B?
Choices:
28 metre
20 metre
15 metre
28 metre
Answer: B
Question: A train running at the speed of 30 km/hr crosses a pole in 6 sec. What is the length of the train?
Choices:
70 m
50 m
Cannot be determined
None of these
Answer: B
Question: x, y, a, and b are positive integers of Q. When x is divided by y, the remainder is 6. When a is divided by b, the remainder is 9. Which of the following is NOT a possible value for y + b?
Choices:
21
20
17
15
Answer: D
Question: Last week David spent 40 percent of his wages on recreation. This week, his wages are 5 percent less than last weekʼs wages and he spent 50 percent of his wages on recreation. The amount he spends on recreation this week is what percent of the amount he spent on recreation last week
Choices:
118.75%
116.75%
117.75%
114.75%
Answer: A
Question: The arithmetic mean of the scores of a group of students in a test was 72. The brightest 20% of them secured a mean score of 80 and the dullest 25% a mean score of 31. The mean score of remaining 55% is?
Choices:
B)81.70
C)87.72
D)81.10
E)81.29
Answer: B
Question: A telephone number contains 10 digit, including a 3-digit area code. Bob remembers the area code and the next 5 digits of the number. He also remembers that the remaining digits are not 0, 1, 2, 5, 6, or 7. If Bob tries to find the number by guessing the remaining digits at random, the probability that he will be able to find the correct number in at most 2 attempts is closest to which of the following?
Choices:
1/4
1/8
1/16
1/32
Answer: B
Question: In a maths test, students were asked to find 5/16 of a certain number. One of the students by mistake found 5/6th of that number and his answer was 150 more than the correct answer. Find the number.
Choices:
288
384
400
500
Answer: A
Question: A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
Choices:
Rs. 2991
Rs. 3991
Rs. 4991
Rs. 5991
Answer: C
Question: If C.P. of 28 books is equal to S.P of 30 books , then your gain or loss is ?
Choices:
30 10/23 loss %
6.67 loss %
30 1/3 loss %
40 1/3 loss %
Answer: B
Question: Equal weights of two alloys containing tin, copper and lead in the ratio 1:2:3 and 4:5:3 are melted and mixed together. What is the ratio of tin, copper and lead in the resultant alloy?
Choices:
3:9:8
1:2:2
6:4: 9
4:8:9
Answer: C
Question: A 270 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train?
Choices:
230
88
65
44
Answer: A
Question: A letter lock consists of three rings each marked with five different letters. The number of distinct unsuccessful attempts to open the lock is at the most?
Choices:
269
124
145
123
Answer: B
Question: A man can row 2 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?
Choices:
1.9
1.2
1.7
1.3
Answer: B
Question: What is the area of square field whose side of length 10 m?
Choices:
100
772
882
21
Answer: A
Question: If k is the greatest positive integer such that 3^k is a divisor of 15! then k =
Choices:
4
5
6
7
Answer: C
Question: P is able to do a piece of work in 20 days and Q can do the same work in 10 days. If they can work together for 2 days, what is the fraction of work left?
Choices:
9/10
7/10
6/10
4/10
Answer: B
Question: A retailer sells 6 shirts. The first 2 he sells for $40 and $50. If the retailer wishes to sell the 6 shirts for an overall average price of over $50, what must be the minimum average price of the remaining 4 shirts?
Choices:
$40.00
$45.50
$48.00
$52.50
Answer: D
Question: Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 6 seconds. What is the length of the fast train ?
Choices:
33 1/3
29 7/9
30 7/9
None of these
Answer: A
Question: If the simple interest on $2000 increase by $40,when the time increase by 4 years. Find the rate percent per annum.
Choices:
0.5%
0.7%
0.9%
0.3%
Answer: A
Question: Three pipes of same capacity can fill a tank in 8 hours. If there are only two pipes of same capacity, the tank can be filled in?
Choices:
12 hours
15 hours
17 hours
16 hours
Answer: A
Question: A fruit vendor purchased 20 dozens of bananas at Rs. 15 per dozen. But one-fourth of the bananas were rotten and had to be thrown away. He sold two-third of the remaining bananas at Rs. 22.50 per dozen. At what price per dozen should he sell the remaining bananas to make neither a profit nor a loss?
Choices:
15
27
21
12
Answer: A
Question: Score Interval Number of Scores
50-59 2
60-69 10
70-79 16
80-89 20
90-99 18
The table shows a distribution of test scores. Which score interval contains the median of the 66 scores?
Choices:
b) 70-79
c) 80-89
d) 90-99
e) Cannot determine.
Answer: B
Question: A certain investment grows at an annual interest rate of 8%, compounded quarterly. Which of the following equations can be solved to find the number of years, x, that it would take for the investment to increase by a factor of 16?
Choices:
2 = 1.02^x
16 = 1.08^(4x)
2 = 1.02^(x/4)
1/16 = 1.02^(4x)
Answer: A
Question: Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 16,100, Deepak's share is:?
Choices:
s.8428
s.8400
s.9800
s.8420
Answer: C
Question: 12008 - 50 ÷ 10.00 = ?
Choices:
120
12000
12003
None
Answer: C
Question: How many 9 digit numbers are possible by using the digits 1,2,3,4,5 which are divisible by 4 if the repetition is allowed?
Choices:
57
55
59
58
Answer: D
Question: On a business trip, 30 percent of 60 sales representatives will be given accommodations at Hotel XYZ and the remaining 70 percent will be given accommodations at Hotel ABC. However, 30 percent of the sales representatives prefer to stay at Hotel XYZ and 70 percent prefer to stay at Hotel ABC. What is the highest possible number of sales representatives NOT given accommodations at the hotel they prefer?
Choices:
32
36
40
44
Answer: B
Question: A no.when divided by 221 gives a remainder 43, what remainder will beobtained by dividing the same number19?
Choices:
6
9
11
15
Answer: B
Question: On children's day 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:
18
9
45
78
Answer: B
Question: The value of a scooter depreciates in such a way that its value of the end of each year is 3/4 of its value of the beginning of the same year. If the initial value of the scooter is Rs.40,000, what is the value at the end of 3 years ?
Choices:
2977
16875
6077
17112
Answer: B
Question: If a·b·c·d=510, where a, b, c and d are positive integers, and a<b<c<d, which of the following could be the value of d−a?
Choices:
10
11
13
15
Answer: D
Question: A tank holds x gallons of a saltwater solution that is 20% salt by volume. One Fourth of the water is evaporated, leaving all of the salt. When 10 Gallons of water and 20 gallons of salt are added, the resulting mixture is 33 1/3 % salt by volume. What is the value of x?
Choices:
75
100
150
175
Answer: C
Question: In Town X, 60 percent of the population are employed, and 15 percent of the population are employed males. What percent of the employed people in Town X are females?
Choices:
75%
32%
40%
52%
Answer: A
Question: You have recently learned to knit, and all you know how to make is rectangles. You are going to knit a rectangle and have enough yarn for 1,000 stitches. The rectangle will have C stitches in a row and D stitches in a column. If the number of stitches in a row is no less than 8 and no more than 125, how many different combinations of rectangular shapes are possible?
Choices:
5
6
8
10
Answer: C
Question: How many positive integers w less than 30 have no common prime factor with 30?
Choices:
6
7
8
9
Answer: C
Question: A rabbit on a controlled diet is fed daily 300 grams of a mixture of two foods, food X and food Y. Food X contains 10% protein and food Y contains 15% protein. If the rabbit's diet provides exactly 40 grams of protein daily, how many grams of food X are in the mixture.
Choices:
100
150
160
200
Answer: A
Question: A football team lost 5 yards and then gained 8. What is the team's progress?
Choices:
3
5
6
8
Answer: A
Question: A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 32 per kg. His profit percent is:
Choices:
5%
8%
12%
None of these
Answer: C
Question: a man can row 18 kmph in still water.it takes him thrice as long to row up as to row down the river.find the rate of stream
Choices:
6 km/hr.
9 km/hr.
15 km/hr.
11 km/hr.
Answer: B
Question: The calendar of the year 2040 can be used again in the year?
Choices:
2061
2111
2191
2068
Answer: D
Question: There are five leopards and one sheep.
Leopard can eat sheep but since as the land is magical, the leopards who eats the sheep , turns into sheep and then can be eaten by the remaining leopard(s).
If we leave them for some time then how many sheep and leopard will be there , when we come back ?
Choices:
4 leopard and 7 sheep
6 leopard and 4 sheep
4 leopard and 1 sheep
2 leopard and 5 sheep
Answer: C
Question: If Y = X+Z, 10 < Z < 0 and -1 < X < 0, which of the following is correct?
Choices:
Y = 9
-9 < y < 0
y < -9.
y < -30
Answer: A
Question: Four friends A, B,C and D decided to share a lot of apples. Each of them had half of the total plus half an apple in order. After each of them took their share 3 time, no apples were left.How many apples were there?
Choices:
4055
4092
4085
4095
Answer: D
Question: Which of the following can be a perimeter t of a triangle inscribed in a circle of radius 1?
I. 0.001
II. 0.010
III. 0.100
Choices:
III only
II and III only
I, II, and III
Not I, II, or III
Answer: C
Question: 6, 11, 21, 36, 56, 81, 111, 146, ?
Choices:
71
186
61
91
Answer: B
Question: The volume of a cube is 729 cc. Find its surface.
Choices:
486
255
287
267
Answer: A
Question: The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is:
Choices:
Rs. 3750
Rs. 3840
Rs. 3900
Rs. 4900
Answer: C
Question: A, B and C have Rs.500 between them, A and C together have Rs.200 and B and C Rs.350. How much does C have?
Choices:
50
88
77
44
Answer: A
Question: What is the possible ways to make 3 digit numbers from 1 to 5 number(repetition is allowed)?
Choices:
130
127
125
225
Answer: C
Question: What is the ratio of y to x if (x + 3y) / ( x - y) = 5/3?
Choices:
-5/3
-1/15
1/7
15/1
Answer: C
Question: A 40-liter solution of alcohol and water is 5 percent alcohol. If 6.5 liters of alcohol and 3.5 liters of water are added to this solution, what percent of the solution produced is alcohol?
Choices:
14%
15%
16%
17%
Answer: D
Question: If the function m& is defined as m&=1/(m+1) for all m≠-1, then (1&)&=
Choices:
5/2
2/3
1/2
1/3
Answer: B
Question: An investor invests in a new fund. The fund averages 20% growth annually for the first three years, but it loses 40% of its value in the fourth year. At the end of four years, the value of the fund is approximately what percent of the original amount?
Choices:
95.56%
97.86%
101.45%
103.68%
Answer: D
Question: A is thrice as good a workman as B and therefore is able to finish a job in 30 days less than B. working together, they can do it in
Choices:
½ days
1/4 days
days
days
Answer: B
Question: The average salary/head of allthe workers in a workshop is Rs.1200, if the average salary/head of 10 technician is Rs.1400 and the average salary/head of the rest is Rs.900, the total no. of workers in the work-shop is ?
Choices:
17
15
19
21
Answer: A
Question: Find a two digit number, given that the sum of the digits is 11 and the difference of the digits is 5.?
Choices:
53
89
83
99
Answer: C
Question: The ratio of incomes of two person P1 and P2 is 5 : 4 and the ratio of their expenditures is 3 : 2. If at the end of the year, each saves Rs.1800, then what is the income of P1?
Choices:
s.2400
s.4000
s.3200
s.4500
Answer: D
Question: A certain hobby shop sold model cars for $5.00 each and model trains for $8.00 each. If a customer purchased both cars and trains from the store for a total of $31.00, what total number of cars and trains did the customer purchase?
Choices:
4
5
6
7
Answer: B
Question: A pet store regularly sells pet food at a discount of 10 percent to 30 percent from the manufacturer’s suggested retail price. If during a sale, the store discounts an additional 20 percent from the discount price, what would be the lowest possible price of a container of pet food that had a manufacturer’s suggested retail price o f $ 25.00?
Choices:
$ 14.00
$ 14.40
$ 16.00
$ 18.00
Answer: A
Question: The average age of a husband and his wife was 23 years at the time of their marriage.After 5 years they have a one year old child.The average of the family is now?
Choices:
23 years
29 years
26 years
19 years
Answer: D
Question: What would be the compound interest on Rs.7700/- at 15 ¼% per annum for 2 years compounded annually
Choices:
2522.50/-
2527.57/-
2532.57/-
2533.45/-
Answer: B
Question: Sixty percent of the rats included in an experiment were female rats. If some of the rats died during an experiment and 70 percent of the rats that died were male rats, what was the ratio of the death rate among the male rats to the death rate among the female rats?
Choices:
7 : 2
2 : 7
3 : 7
Cannot be determined from the information give
Answer: A
Question: If x is divisible by 7, 89, and 45, which of the following must be the least multiple of x?
Choices:
28035
28040
28045
20835
Answer: A
Question: If x is an integer, and 169 < x^2 <= 361, which of the following is the sum of all possible values of x?
Choices:
124
None of the above
105
116
Answer: B
Question: In how many ways can 11 books on English and 9 books on French be placed in a row on a shelf so that two books on French may not be together?
Choices:
220.
260
280
300
Answer: A
Question: Dick and Jane each saved $5,000 in 1989. In 1990 Dick saved 10 percent more than in 1989, and together he and Jane saved a total of $10,000. Approximately what percent less did Jane save in 1990 than in 1989?
Choices:
10%
20%
25%
30%
Answer: A
Question: A leak in the bottom of a tank can empty the full tank in 9 hours. An inlet pipe fills water at the rate of 6 litres a minute. When the tank is full, the inlet is opened and due to the leak, the tank is empty in 12 hours. How many litres does the cistern hold?
Choices:
12960
8290
8640
None
Answer: A
Question: 50% of a number is added to 120, the result is the same number. Find the number?
Choices:
240
1687
997
121
Answer: A
Question: Two trains A and B starting from two points and travelling in opposite directions, reach their destinations 9 hours and 4 hours respectively after meeting each other. If the train A travels at 90kmph, find the rate at which the train B runs.
Choices:
60
135
80
100
Answer: B
Question: A salesman’s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1000 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 600 more than that by the previous schema, his sales were worth?
Choices:
12000
12019
12197
12012
Answer: A
Question: Grace packed 5 pairs of shoes, 3 pairs of pants, 8 shirts, and 3 jackets for her business trip. If an outfit consists of one of each item of clothing except shirts, of which she will wear 2, how many different outfits can does Grace have available during her trip?
Choices:
1,260
620
360
120
Answer: A
Question: Which of the following is equal to 3.14 x 10(power 6) ?
Choices:
3140000
3140.0
314.0
None of them
Answer: A