antoine-444/aqua_rat_dataset huggingface dataset:
Question: In the Bargaining Bazar everyone purchase with a fair bargaining, so the traders markup the prices too much. A trader marked up an article at Rs. M expected huge profit if it is sold on marked price. But a customer purchased it at M/2 with his fine bargaining skills, so the expected profit of the trader diminished by 66.66%. What is the percentage discount fetched by the customer through bargaining?
Choices:
50%
60%
66.66%
None of these
Answer: A
Question: If 4x + 3y = 8 and y − 3x = 2, then what is the value of x + 4y?
Choices:
10
15
52/7
60/7
Answer: A
Question: A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, the how old is B?
Choices:
9
10
11
12
Answer: B
Question: When positive integer k is divided by 5, the remainder is 2. When k is divided by 6, the remainder is 5. If k is less than 39, what is the remainder when k is divided by 7?
Choices:
5
6
3
7
Answer: C
Question: The sum of three consecutive multiples of 3 is 72. What is the larget number?
Choices:
27
46
57
None
Answer: A
Question: For how many integers pair (x,y) satisfies the result
(1/x)+((1/y)=1/12
Choices:
6
29
16
32
Answer: B
Question: The function f is defined for all positive integers s by the following rule. f(s) is the number of positive integers each of which is less than s and has no positive factor in common with s other than 1. If t is any prime, number then f(t)=
Choices:
t-2
(t+1)/2
t-1
2
Answer: C
Question: here are 6 periods in each working day of a school. In how many ways can one organize 5 subjects such that each subject is allowed at least one period?
Choices:
4500
1200
5200
1800
Answer: D
Question: If the LCM of 8, 11, 15, and x is 25080, which of the following
could be x?
Choices:
16
13
18
19
Answer: D
Question: In a class, the average age of 28 boys is 12 years and the average of 20 girls is 8 years. what is the average age of the whole class?
Choices:
10.3 Years
12.6 Years
13 Years
15 Years
Answer: A
Question: A box contains 3 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 yellow?
Choices:
2/20
2/21
2/23
2/29
Answer: B
Question: if the selling price of an object is rs.2300 and the profit percent is 15,what is the cost price?
Choices:
1945
2000
2645
2745
Answer: B
Question: A’s speed is 20/15 times that of B. If A and B run a race, what part of the length of the race should A give B as a head start, so that the race ends in a dead heat?
Choices:
3/17
1/10
5/20
3/10
Answer: C
Question: Lucy invested $10,000 in a new mutual fund account exactly three years ago. The value of the account increased by 10 percent during the first year, increased by 5 percent during the second year, and decreased by 10 percent during the third year. What is the value of the account today?
Choices:
$10,395
$10,500
$11,500
$12,705
Answer: A
Question: The age of Somu is one-third his father's. 9 years back he was one-fifth of his father's age. What is his persent age ?
Choices:
18
14
12
10
Answer: A
Question: In an examination it is necessary for a candidate to get 45 % of the maximum marks to pass. A candidate who gets 180 marks, fails by 45 marks. Find the maximum marks.
Choices:
600
500
550
650
Answer: B
Question: In a kickball competition of 5 teams, how many possible matches can each team play with each other?
Choices:
10
24
36
54
Answer: A
Question: Find the missing in the series: 70, 54, 45, 41,___
Choices:
287
2679
2767
2771
Answer: A
Question: Tough and Tricky questions: Word Problems.
In a rare coin collection, one in six coins is gold, and all coins are either gold or silver. If 10 silver coins were to be subsequently traded for an additional 10 gold coins, the ratio of gold coins to silver coins would be 1 to 2. Based on this information, how many gold coins would there be in this collection after the proposed trade?
Choices:
60
180
200
300
Answer: D
Question: If x and y are even integers, which of the following is an odd integer?
Choices:
x+y+1
x-y
xy
x * y^2
Answer: A
Question: In a simultaneous throw of pair of dice .find the probability of getting the total more than 7?
Choices:
5/12
6/4
2/3
4/7
Answer: A
Question: A shopkeeper sells 400 metres of cloth for $18000 at a loss of Rs.5 per metre. Find his cost price for one metre of cloth?
Choices:
$43
$50
$70
$40
Answer: B
Question: Calculate the different number of ways 2 boys and 1 girls can sit on a bench?
Choices:
6
5
3
2
Answer: A
Question: Mr Sridharan invested money in two schemes A and B,offering compound interest @ 8 p.c.p.a. and 9 p.c.p.a.respectively. If the total amount of interest accured through the two schemes together in two years was 4818.30 and the total amount invested was 27,000, what was the amount invested in Scheme A?
Choices:
13,500
12,000
Cannot be determined
None of these
Answer: B
Question: A windmill is taking advantage of strong air currents in order to produce electrical energy. On a typical day the wind speed is around 20 mph and in that speed the windmill produces 800 kw/h (kilowatts per hour). On a stormy day a windmill produces 20% more energy. How much kw/h can three windmills produce in two hours on a stormy day?
Choices:
4860.
5780.
5760.
6380.
Answer: C
Question: For positive integers n, the integer part of the nth term of sequence C equals n, while the infinite decimal part of the nth term is constructed in order out of the consecutive positive multiples of n, beginning with 2n. For instance, C_1 = 1.2345678…, while C_2 = 2.4681012… The sum of the first seven terms of sequence C is between:
Choices:
29 and 30
30 and 31
31 and 32
32 and 33
Answer: B
Question: Annie and Sam set out together on bicycles traveling at 15 and 12 km per hour respectively. After 40 minutes, Annie stops to fix a flat tire. If it takes Annie 30 minutes to fix the flat tire and Sam continues to ride during this time, how many minutes will it take Annie to catch up with Sam assuming that Annie resumes riding at 15 km per hour?
Choices:
40
60
80
100
Answer: C
Question: Twenty percent of Country Y's yearly exports come from fruit exports. One-fourth of all fruit exports from Country Y are orange exports. If country Y generates $40 million from its orange exports, how much money does it generate from its yearly total of exports?
Choices:
$800m
$106.25m
$127.5m
$153m
Answer: A
Question: P alone can complete a job in 4 days. The work done by Q alone in one day is equal to one-third of the work done by P alone in one day. In how many days can the work be completed if P and Q work together?
Choices:
2.0
2.5
3.0
3.5
Answer: C
Question: A man can do a piece of work in 5days, but with the help of his son, he can finish it in 2days. In what time can the son do it alone?
Choices:
3 1/3
7 1/2
6
9 1/2
Answer: A
Question: A computer manufacturer produces a certain electronic component at a cost of $80 per component. Shipping costs for delivering the components are $3 per unit. Further, the manufacturer has costs of $16,500 a month related to the electronic component regardless of how many it produces. If the manufacturer produces and sells 150 components a month, what is the lowest price it can sell them for such that the costs don't exceed the revenues?
Choices:
$193
$110
$138
$192
Answer: A
Question: If a 3-member subcommittee is to be formed from a certain 8-member committee, how many different such subcommittee are possible?
Choices:
18
56
108
216
Answer: B
Question: Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 7 days?
Choices:
7/18
1/4
1/9
2/6
Answer: A
Question: The sum of digits of a two digit number is 11,The difference between the digits is 5. Find the number
Choices:
94
83
72
None
Answer: B
Question: A farmer is planting a row consisting of 5 unique apple trees and 4 unique orange trees. How many ways are there for the farmer to plant the trees such that no apple tree is adjacent to another apple tree and no orange tree is adjacent to another orange tree?
Choices:
5760
1,024
1,152
10,080
Answer: A
Question: If -3x+4y=28 and 3x-2y=8, what is the product of x and y?
Choices:
264.
464.
622
642
Answer: A
Question: A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. If the smaller wheel has made 56 revolutions, what will be the number of revolutions made by the larger wheel?
Choices:
24
21
9
22
Answer: A
Question: A man can row upstream at 7 kmph and downstream at 10kmph.find manâ€™s rate in still water and the rate of current.
Choices:
1.5 km/hr
3.5 km/hr
4.5 km/hr
5.5 km/hr
Answer: A
Question: A ball is bought for Rs.400 and sold at a gain of 45% find its selling price?
Choices:
B)Rs.580/-
C)Rs.500/-
D)Rs.520/-
E)Rs.540/-
Answer: A
Question: On average, activated yeast cells divide once every 120 minutes; that is, each individual cell divides into two individual cells over that time span. Given that a certain yeast colony consisted of 300,000 cells two hours ago, approximately how many cells will be populating the colony six hours from now?
Choices:
1,860,000
2,480,000
3,720,000
4,800,000
Answer: D
Question: The greatest ratio out of 2:3, 5:8, 3:2, 8:9 and 8:5 is?
Choices:
3:2
5:8
8:5
8:9
Answer: C
Question: A thief steals at a car at 2.30 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:
9 p.m
5 p.m
2 p.m
1 p.m
Answer: B
Question: What is the sum of the different positive prime factors of 1092?
Choices:
12
20
25
27
Answer: D
Question: If 0 < x < 1 and x ≠ 0, which of the following inequalities must be true?
I. x^3 < x
II. x^2 < |x|
III. x^4 – x^5 > x^3 – x^2
Choices:
II only
III only
II and III only
I, II, and III
Answer: A
Question: In how many M ways can the letters of the word JUPITER be arranged in a row so that the vowels appear in alphabetic order?
Choices:
768
792
840
876
Answer: C
Question: Find the mean proportional between 49 & 81?
Choices:
61
63
65
67
Answer: B
Question: X and Y started a business investing Rs. 24,000 and Rs. 40,000 respectively. Out of a total profit of Rs. 16,000, Y’s share is :
Choices:
9000
9500
10000
10500
Answer: C
Question: Express a speed of 90 kmph in meters per second?
Choices:
25mps
35 mps
19 mps
21 mps
Answer: A
Question: In the given series find the number which is wrong.
4,8,11,22,18,36,24,50
Choices:
11
18
50
36
Answer: C
Question: The speed at which a man can row a boat in still water is 20 kmph. If he rows downstream, where the speed of current is 4 kmph, what time will he take to cover 80 metres?
Choices:
10.51
9.51
13.51
15.51
Answer: A
Question: Two airplanes take off from one airfield at noon. One flies due east at 202 miles per hour while the other flies directly northeast at 283 miles per hour. Approximately how many miles apart are the airplanes at 2 p.m.?
Choices:
332
400
483
404
Answer: D
Question: A mobile battery in 1 hour charges to 20 percent.How much time (in minute) will it require more to charge to 40 percent.
Choices:
120
175
160
130
Answer: A
Question: A pool can be filled in 4 hours and drained in 5 hours. The valve that fills the pool was opened at 1:00 pm and some time later the drain that empties the pool was also opened. If the pool was filled by 7:00 pm and not earlier, when was the drain opened?
Choices:
at 2:30 pm
at 3:00 pm
at 3:45 pm
at 4:30 pm
Answer: D
Question: If the letters of the word CHASM are rearranged to form 5 letter words such that none of the word repeat and the results arranged in ascending order as in a dictionary what is the rank of the word CHASM ?
Choices:
32
82
27
17
Answer: A
Question: The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?
Choices:
Rs.2000
Rs.1000
Rs.693
Rs.248
Answer: A
Question: A marketing survey of Anytown found that the ratio of trucks to sedans to motorcycles was 3:7:2, respectively. Given that there are 9,800 sedans in Anytown, how many motorcycles are there?
Choices:
2800
3600
4200
5200
Answer: A
Question: 1,3,3,9,27,243,?
Choices:
6661
6861
6561
6531
Answer: C
Question: Two quarts containing 4⁄5 water and 2⁄5 formula are mixed with three quarts containing 7⁄10 water and 2⁄10 formula. Approximately what percent of the combined five-quart mixture is water?
Choices:
58%
54%
53%
52%
Answer: A
Question: A certain sum is invested at simple interest at 18% p.a. for two years instead of investing at 12% p.a. for the same time period. Therefore the interest received is more by Rs. 840. Find the sum?
Choices:
7000
2799
2699
2790
Answer: A
Question: How many of the positive factors of 42 are not factors of 56?
Choices:
2
3
4
5
Answer: B
Question: A rectangular floor measures 2 by 3 meters. There are 5 white, 5 black, and 5 red parquet blocks available. Each block measures 1 by 1 meter. In how many different t colors patterns can be floor be parqueted?
Choices:
213
3^5
705
726
Answer: D
Question: The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 kms in 4 hours, then the speed of the first train is:
Choices:
75 km/hr
84 km/hr
87.5 km/hr
88.5 km/hr
Answer: C
Question: A sum of money place at compound interest doubles itself in 4 years. In how many years will it amount to eight times itself?
Choices:
11 years
12 years
18 years
19 years
Answer: B
Question: The speed of a car increases by 2 km after every hour. If the distance travelled in the first hour was 35 km, what was the total distance travelled in 12 hours?
Choices:
456 km
556 km
482 km
None of these
Answer: D
Question: If f(x)= 5x^2- 2x+6 and g(y)= 3y-5, then g(f(x))
Choices:
15x^2-6x+13
58x^2-4x+58
87x^2-5x+96
98x^2-7x+94
Answer: A
Question: The average age of A, B and C is 27 years. If the average age of A and C is 29 years, what is the age of B in years ?
Choices:
35
20
32
23
Answer: D
Question: Set #1 = {A, B}
Set #2 = {K, L, M, N, O, P}
There are these two sets of letters, and you are going to pick exactly one letter from each set. What is the probability of picking at least one vowel?
Choices:
1/3
7/12
2/3
5/6
Answer: B
Question: If the sides of a triangle are 39 cm, 36 cm and 15 cm, what is its area?
Choices:
240 cm^2
250 cm^2
260 cm^2
270 cm^2
Answer: D
Question: The profit earned by selling an article for Rs. 832 is equal to the loss incurred when the same article is sold for Rs. 448. What should be the sale price for making 30% profit?
Choices:
230
960
832
400
Answer: C
Question: If A:B = 2:3, B:C = 4:5 and C:D = 5:9 then A:D is equal to:
Choices:
8:27
5:9
2:9
none
Answer: A
Question: Jim is able to sell a hand-carved statue for $670 which was a 35% profit over his cost. How much did the statue originally cost him?
Choices:
$496.30
$555.40
$574.90
$588.20
Answer: A
Question: A box contains nine light out of which 4 are defective. If four light are chosen at random, find the probability that all the four light are defective?
Choices:
3/121
1/126
3/101
None of these
Answer: B
Question: A person jogged 10 times along the perimeter of a rectangular field at the rate of 12 kilometers per hour for 30 minutes. If field has a length that is twice its width, find the area of the field in square meters.
Choices:
50.0
40.0
30.0
20.0
Answer: D
Question: Insert the missing number.
3, 5, 6,10 , 9, 15, 12, 20, 15, (....)
Choices:
25
10
30
15
Answer: A
Question: If a fair 6-sided die is rolled three times, what is the probability that exactly one 2 is rolled?
Choices:
50/216
25/72
25/36
5/6
Answer: B
Question: An equal number of desks and bookcases are to be placed along a library wall that is 15 meters long. Each desk is 2 meters long, and each bookshelf is 1.5 meters long. If the maximum possible number of desks and bookcases are to be placed along the wall, then the space along the wall that is left over will be how many G meters long?
Choices:
1
1.5
2
3
Answer: A
Question: Find the least which when divided y 16,18,20, and 25 leaves 4 as remainder in each case, but when divided by 7 leaves no remainder.
Choices:
18000
18002
18004
18005
Answer: C
Question: 53, 60, 56, 8, 54, 3, 8
Which of the following numbers is lower than the median but greater than the mean of the set of the numbers in the list?
Choices:
29
46
53
55
Answer: B
Question: Double of Quarter of 4 percent written as a decimal is :
Choices:
0.0005
0.25
0.02
None of these
Answer: C
Question: There are 10 points on a circle. A hexagon can be formed by linking 5 of the 10 points. How many such hexagons are possible?
Choices:
120
200
252
600
Answer: C
Question: 20 throws of a die produces following results
SCORE -- NUMBER OF OCCURRENCES
---1-------------------4
---2-------------------3
---3-------------------5
---4-------------------2
---5-------------------2
---6-------------------4
What is the probability L that one more throw to this series will increase the mean score?
Choices:
1/3
1/2
2/3
5/6
Answer: B
Question: A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. The number of days for which the remaining food will last, is:
Choices:
37 1/4
42
54
48
Answer: B
Question: If it is true that x< 8 and 2x> -4, which of the following must be true?
Choices:
x> 2
x> -8
x< 4
None of the above
Answer: B
Question: If $ 5,000 is invested in an account that earns 10% interest compounded semi-annually, then the interest earned after one year would be how much greater than if the $ 5,000 had been invested at 8% simple yearly interest?
Choices:
$ 8
$ 12
$ 16
$ 10
Answer: D
Question: A train sets off at 2 p.m. at the speed of 70 kmph. Another train starts at 3:30 p.m. in the same direction at the rate of 85 kmph. At what time the trains will meet?
Choices:
10.37
10.3
10.31
10.32
Answer: B
Question: John found that the average of 15 numbers is 40. If 14 is added to each number then the mean of number is?
Choices:
54
65
78
64
Answer: A
Question: Given a spinner with four sections of equal size labeled R, B, C, and D, what is the probability of NOT getting an R after spinning the spinner two times?
Choices:
9/16
1/2
1/4
1/8
Answer: A
Question: On a 26 question test, five points were deducted for each wrong answer and eight points were added for each correct answer. If all the questions were answered, how many were correct, if the score was zero ?
Choices:
10
11
13
16
Answer: A
Question: Ramu bought an old car for Rs. 36000. He spent Rs. 15000 on repairs and sold it for Rs. 62900. What is his profit percent?
Choices:
17%
18%
58%
23%
Answer: D
Question: A thief is noticed by a policeman from a distance of 450 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes?
Choices:
200 m
170 m
100 m
350 m
Answer: D
Question: Dan’s car gets 32 miles per gallon. If gas costs $4/gallon, then how many miles can Dan’s car go on $46 of gas?
Choices:
256
368
424
512
Answer: B
Question: R is the set of positive even integers less than 101, and S is the set of the squares of the integers in R. How many elements does the intersection of R and S contain ?
Choices:
Two
Four
Five
Seven
Answer: C
Question: If Z is a positive integer greater than 1, what is the sum of the multiples of Z from Z to Z^2, inclusive?
Choices:
Z^2(Z + 1)/2
Z^2(Z-1)
(x^3 + 2x)/2
x(x-1)^2
Answer: A
Question: Out of eight crew members three particular members can sit only on the left side. Another two particular members can sit only on the right side. Find the number of ways in which the crew can be arranged so that four men can sit on each side.
Choices:
863
865
1728
None
Answer: C
Question: A 14% stock yields 8%.The market value of the stock is :
Choices:
Rs. 175
Rs. 112.50
Rs. 116.50
None of these
Answer: A
Question: If the digits 27 in the decimal 0.00027 repeat indefinitely, what is the value of (10^5-10^3)(0.00027)?
Choices:
0.027
27
0.0027
2.7e-06
Answer: B
Question: What is the remainder when 7^74 - 5^74 is divided by 2?
Choices:
1
2
3
None of these
Answer: D
Question: In a 1000 m race, A beats B by 50 m and B beats C by 100 m. In the same race, by how many meters does A beat C?
Choices:
145 m
268 m
129 m
218 m
Answer: A
Question: If a 4-member subcommittee is to be formed from a certain 6-member committee, how many different such subcommittee are possible?
Choices:
15
20
60
216
Answer: A
Question: In a function they are distributing noble prize. In how many ways can 4 prizes be distributed among 5 boys when a boy gets any no. of prizes?
Choices:
50
625
602
525
Answer: B
Question: If an object travels 90 feet in 3 seconds, what is the object’s approximate speed in miles per hour? (Note: 1 mile = 5280 feet)
Choices:
20.45
23.87
26.92
29.56
Answer: A
Question: Rs.8000 become Rs.8652.8 in a certain interval of time at the rate of 4% per annum of C.I. Find the time?
Choices:
8 years
9 years
3 years
2 years
Answer: D
Question: The mean of 50 observations was 36. It was found later that an observation 34 was wrongly taken as 23. The corrected new mean is :
Choices:
36.5
36.24
36.12
36.22
Answer: D
Question: On a ranch, a rancher can place a loop of rope, called a lasso, once in every 3 throws around a cow’s neck. What is the probability that the rancher will be able to place a lasso around a cow’s neck at least once in 3 attempts?
Choices:
5/9
7/9
19/27
23/27
Answer: C
Question: Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 10 cm?
Choices:
216 cm2
285 cm2
178 cm2
190 cm2
Answer: D
Question: A committee is reviewing a total of 20x black-and-white films and 6y color films for a festival. If the committee selects y/x% of the black-and-white films and all of the color films, what fraction Q of the selected films are in color?
Choices:
1/5
3/13
10/13
30/31
Answer: D
Question: If the price has fallen by 14% what percent of its consumption be: increased so that the expenditure may be the same as before?
Choices:
11 1/5%
16 12/43%
17 7/9%
21 1/9%
Answer: B
Question: If the ratio of boys to girls in a class is B and the ratio of girls to boys is G; then 10(B + G) is ?
Choices:
Less than 3
More than 10
Less than 10
none of these
Answer: B
Question: A train 345 m long passed a pole in 15 sec. How long will it take to pass a platform 760 m long?
Choices:
43 sec
45 sec
15 sec
16 sec
Answer: A
Question: In a series of four football matches between Germany and Argentina , the probability of Germany winning a match is 1/3 and the probability that the match ends in a draw is 1/4. If a win gets the team 2 points, a draw 1 point and a loss 0 Points, What is the probability that Germany will end up in 4 draws in the series?
Choices:
125/864
1/25
1/256
1/5
Answer: C
Question: A flight takes off at 2.00 a.m. from a place at 18N 10E and landed 10 hours later at a place with co-ordinates 36N 70W. What is the local time when the plane landed?
Choices:
6.40 a.m.
7.00 a.m.
7.40 a.m.
8.00 a.m.
Answer: A
Question: If log 27 = 1.401, then the value of log 9 is:
Choices:
0.934
0.954
0.958
0.998
Answer: A
Question: 95 80 85 65 50 85 35 ? ?
Choices:
25 85
20 85
85 35
25 75
Answer: B
Question: A, B, C subscribe Rs. 50,000 for a business. If A subscribes Rs. 4000 more than B and B Rs. 5000 more than C, out of a total profit of Rs. 35,000, what will be the amount A receives?
Choices:
14700
16700
18700
24700
Answer: A
Question: Suppose f(x) is an odd function for which f(x + 2) = f(x) for all x, and
f(x) = x2nd for xε2 (0,1). Compute f(-3/2) + f(1).
Choices:
-1/2
-1/4
1/4
1/2
Answer: C
Question: Six men and six women have to sit around a circular table so that no 2 women are together. In how many ways can that be done?
Choices:
5!*6!
5!*7!
6!*7!
7!*7!
Answer: A
Question: A man saves Rs 250 at the end of each year and lends the money at 5% compound interest. How much will it become at the end of 3 years.
Choices:
Rs 827.53
Rs 822.02
Rs 862.03
None of these
Answer: A
Question: A certain candy manufacturer reduced the weight of Candy Bar M by 40 percent buy left the price unchanged. What was the resulting percent increase in the price per ounce of Candy Bar M?
Choices:
66.66
58
60
62
Answer: A
Question: What are the maximum value and minimum values of f(x) = |2sin(2x - pi/3) - 5| + 3
Choices:
max10-min6
max12-min8
max13-min9
max14-min10
Answer: A
Question: A train 125 m long passes a man, running at 8 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
Choices:
53
99
288
12
Answer: A
Question: Of the 5 numbers, whose average is 100, the first is one-fourth of the sum of the last 4. The first number is?
Choices:
83.3
78.63
56.98
67.85
Answer: A
Question: In how many different number of ways 4 men and 3 women can sit on a bench such that girls always sit together.
Choices:
720
750
770
780
Answer: A
Question: A division of a company consists of four men and six women. If two of these ten employees are randomly selected as representatives of the division, what is the probability that both representatives will be female?
Choices:
1/5
1/4
1/3
1/2
Answer: C
Question: If an item that originally sold for A dollars was marked up by x percent and then discounted by L percent, which of the following expressions represents the final price of the item?
Choices:
(10,000z + 100z(y – x) – xyz)/10,000
(100z(x – y) – xyz)/10000
(100z(y – x) – xyz)/10000
10000 /(x – y)
Answer: B
Question: The sum of the non-prime numbers between 40 and 50, non-inclusive, is
Choices:
176
274
405
495
Answer: B
Question: A bag contains 3 red, 2 green balls. 3 balls are drawn randomly. What is the probability that balls drawn contain exactly two green balls?
Choices:
2/9
3/11
4/17
3/10
Answer: D
Question: If all of the telephone extensions in a certain company must be even numbers, and if each of the extensions uses all four of the digits 1, 2, 3, and 6, what is the greatest number of four-digit extensions that the company can have?
Choices:
6
12
16
24
Answer: B
Question: We have 10 people and 3 chairs. In how many ways chairs can be occupy?
Choices:
720
810
790
915
Answer: A
Question: In a certain appliance store, each model of television is uniquely designated by a code made up of a particular ordered pair of letters. If the store has 80 different models of televisions, what is the minimum number of letters that must be used to make the codes?
Choices:
7
9
8
10
Answer: B
Question: A taxi leaves Point A 2 hours after a bus left the same spot. The bus is traveling 20 mph slower than the taxi. Find the speed of the taxi, if it overtakes the bus in two hours.
Choices:
48
44
50
40
Answer: D
Question: X, Y, and Z are different prime numbers. The product X^2*Y^2*Z^2 is divisible by how many different positive numbers?
Choices:
18
27
36
45
Answer: B
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 20% of the rooms at the Stagecoach Inn are non-smoking rooms with king-sized beds, what percentage of the rooms permit smoking?
Choices:
30%
50%
55%
75%
Answer: B
Question: Right triangle ABC is the base of the prism in the figure above. If AB=AC=âˆš10 and the height of the prism is 4, what is the volume of the prism?
Choices:
85
20
60
45
Answer: B
Question: Jacob bought a scooter for a certain sum of money.He spent 10% of the cost on repairs and sold the scooter for a profit of Rs.1100. How much did he spend on repairs if he made a profit of 20% ?
Choices:
Rs.440
Rs.500
Rs.550
Rs.650
Answer: B
Question: Two trains running in opposite directions cross a man standing on the platform in 25 seconds and 18 seconds respectively and they cross each other in 20 seconds. The ratio of their speeds is:
Choices:
3 : 2
3 : 8
2 : 5
3 : 4
Answer: C
Question: How many 3 digit positive integers Q exist that when divided by 7 leave a remainder of 5?
Choices:
142
143
141
129
Answer: D
Question: A man invests Rs. 4,000 at the rate of 5% per annum. How much more should he invest at the rate of 8%, so that he can earn a total of 6% per annum?
Choices:
Rs. 1300
Rs. 1500
Rs. 2000
None of these
Answer: C
Question: 96% of 5/8 =
Choices:
0.5
0.6
0.75
1.0
Answer: B
Question: A man travelled from the village to the post office at the rate of 10kmph and walked backed at the rate of 5 kmph. If the whole journey took 3hours, find the distance of the post office from the village?
Choices:
10km
20km
25km
30km
Answer: A
Question: A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is?
Choices:
7/17
7/18
7/11
7/15
Answer: D
Question: In two triangle, the ratio of the areas is 4:3 and that of their heights is 3:4 the ratio of their bases is
Choices:
16:9
9:12
16:12
4:12
Answer: A
Question: seven friends met for lunch at an expensive restaurant, and everyone decided to contribute equally to the total bill of $530. If one of the friends had a coupon for 32% off the total bill, and if each friend still contributed equally after the coupon was applied to the bill, how much did each friend pay?
Choices:
$70
$51
$37
$35
Answer: B
Question: If a traveller was offered 5 city in asia and 11 city in europe and asked to chose atleast 3 city in asia and overall a 11 city. How many ways can he travel
Choices:
2958
3156
3762
6835
Answer: C
Question: A trader sells 2 oranges per rupee, calculate the profit loss percentage if the trader bought the oranges at 3 per rupee.
Choices:
55 %
35 %
40 %
50 %
Answer: D
Question: An eccentric casino owner decides that his casino should only use chips in $3 and $5 denominations. Which of the following amount cannot be paid out using these chips?
Choices:
$21
$14
$9
$11
Answer: D
Question: An airplane travels 4362 km against the wind in 6 hours and 5322 km with the wind in the same amount of time. What is the rate of the plane in still air?
Choices:
767 km/hr
807 km/hr
908 km/hr
555 km/hr
Answer: B
Question: Which of the following describes all values of x for which 16-x^2 ≥ 0 ?
Choices:
x ≤ -1
0 ≤ x ≤ 1
x ≤ -1 or x ≥ 1
-4 ≤ x ≤ 4
Answer: D
Question: Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 33 kmph. Of how many minutes does the train stop per hour?
Choices:
83
16
83
28
Answer: B
Question: A tank is filled in SIX hours by three pipes A, B and C. Pipe A is twice as fast as pipe B, and B is twice as fast as C. How much time will pipe B alone take to fill the tank?
Choices:
28 hours
55 hours
66 hours
21 hours
Answer: D
Question: Kelly and Jody packed boxes with books. If Jody packed 80% of the total number of boxes, what was the ratio of the number of boxes Kelly packed to the number that Jody packed?
Choices:
1 to 4
2 to 5
3 to 5
2 to 3
Answer: A
Question: 65% of x = 20% of 552.50. Find the value of x?
Choices:
170
150
180
199
Answer: A
Question: Jim’s Taxi Service charges an initial fee of $2.05 at the beginning of a trip and an additional charge of $0.35 for each 2/5 of a mile traveled. What is the total charge for a trip of 3.6 miles?
Choices:
$5.20
$4.80
$5.05
$5.40
Answer: A
Question: A person travels first 100km at 40km/hr and the next 100km at 60km/hr. The average speed for the first 200km of the tour is?
Choices:
50km/hr
48km/hr
60km/hr
55km/hr
Answer: B
Question: The area of the largest circle that can be drawn inside a square of side 56 Cm in length is:
Choices:
2464
3201
4202
1200
Answer: A
Question: Number N is randomly selected from a set of all primes between 10 and 40, inclusive. Number D is selected from a set of all multiples of 5 between 10 and 40 inclusive. What is the probability that N+D is odd?
Choices:
2/3
3/4
4/7
5/8
Answer: C
Question: What is the units digit of the product of the first 100 odd numbers?
Choices:
3
0
5
7
Answer: C
Question: A rectangular floor is covered by a rug except fo a strip q meters along each of the four edges. If the floor is m meters by n meteres, What is the area of the rug in square meters?
Choices:
mn – 2p(m+n)
mn – p^2
(m - p)(n - p)
(m - 2q)(n - 2q)
Answer: D
Question: Equal amount of water were poured into two empty jars of different capacities, which made one jar 1/5 full and other jar 1/4 full. If the water in the jar with lesser capacity is then poured into the jar with greater capacity, what fraction of the larger jar will be filled with water?
Choices:
2/5
1/2
7/12
2/3
Answer: A
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 39 grams of protein daily, how many grams of food X are in the mixture.
Choices:
120
150
160
200
Answer: A
Question: Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 13 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
Choices:
408
2881
287
221
Answer: A
Question: Water boils at 212°F or 100°C and ice melts at 32°F or 0°C . If the temperature of a pot of water is 60°C, what is the temperature of the pot of water in °F?
Choices:
140°F
148°F
156°F
164°F
Answer: A
Question: A person invested in all Rs. 2600 at 4%, 6% and 8% per annum simple interest. At the end of the year, he got the same interest in all the three cases. The money invested at 4% is?
Choices:
2688
2699
1200
2671
Answer: C
Question: A bag contains 26 purple jellybeans, 15 green jellybeans, and 9 yellow jellybeans; these jellybeans are the only items in the bag. If a person picks a jellybean at random out of the bag, what is the probability that the jellybean will be yellow?
Choices:
18%
25%
30%
35%
Answer: A
Question: In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is 2/3 of the number of students of 8 years of age which is 48. What is the total number of students in the school?
Choices:
80
120
100
150
Answer: C
Question: A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:
Choices:
2/91
4/91
8/81
9/72
Answer: A
Question: What is the remainder when the number R=14^2 * 15^8 is divided by 5?
Choices:
0
2
4
5
Answer: A
Question: In a certain boys camp, 20% of the total boys are from school A and 30% of those study science. If there are 63 boys in the camp that are from school A but do not study science then what is the total number of boys in the camp?
Choices:
450
150
35
350
Answer: A
Question: A researcher computed the mean, the median, and the standard deviation Y for a set of performance scores. If 5 were to be added to each score, which of these three statistics would change?
Choices:
The median only
The standard deviation only
The mean and the median
The mean and the standard deviation
Answer: C
Question: In the coordinate plane, one of the vertices of a square is the point (-4, -4). If the diagonals of that square intersect at point (3, 2), what is the area of that square?
Choices:
196
160
164
172
Answer: A
Question: In what time will a train 240 metres long cross an electric pole, if its speed be 126 km/hr?
Choices:
6.85 sec
6.55 sec
6.44 sec
7.85 sec
Answer: A
Question: The instructions state that Cheryl needs 5/9 square yards of one type of material and 1/3 square yards of another type of material for a project. She buys exactly that amount. After finishing the project, however, she has 8/24 square yards left that she did not use. What is the total amount of square yards of material Cheryl used?
Choices:
1/9
2/3
5/9
2 1/9
Answer: C
Question: If a is a positive even integer, and n and m are consecutive integers, then (n - m)^a/(m - n)^a =
Choices:
-1
0
1
2
Answer: C
Question: Convert the following unit:
7 hectares in mÂ²
Choices:
60000 mÂ²
65000 mÂ²
70000 mÂ²
75000 mÂ²
Answer: C
Question: A contractor is engaged for 30days on the condition thathe receives Rs.25 for each day he works &is fined Rs.7.50 for each day is absent. He gets Rs.685 in all. For how many days was he absent?
Choices:
10
2
17
19
Answer: B
Question: An amount of Rs. 10000 is invested in two types of shares. The first yields an interest of 9% p.a and the second, 11% p.a. If the total interest at the end of one year is 9 3/4 %, then the amount invested at 11% was?
Choices:
3750
2997
2677
1987
Answer: A
Question: The operation T is defined by x T y=1/x+1/y for all nonzero numbers x and y. If z is a number greater than 1, which of the following must be true.
I. x T (-z)=0
II. z T z/z-1=1
III. 2/z T 2/z=1
Choices:
b.) I and II only
c) I and III only
d) II only
e) I, II and III only
Answer: C
Question: A gardener increased the length of a rectangle-shaped garden by 25 percent and decreased its width by 20 percent. The area of the new garden
Choices:
has increased by 12 percent
has increased by 8 percent
is exactly the same as the old area
cannot be expressed in percentage terms without actual numbers
Answer: C
Question: A train 360 m long is running at a speed of 90 km/hr. In what time will it pass a bridge 140 m long?
Choices:
29 sec
26 sec
20 sec
34 sec
Answer: C
Question: On return from a business trip Mr. Chidambaram was to be picked up from the railway station by
his coachman. Someone he managed a train connection earlier and thus arrived two hours too early.
Immediately on arrived he rang up home for the coach and was told that it had just left in order to be
exactly in time for the train by which he was scheduled to come. To save the time he started walking
homeward at 3kmph. On the way he met the coachman who brought him home an hour before
schedule. How far is the Mr. Chidambaram’s house from the railway station?
Choices:
18
99
27
11
Answer: A
Question: What least number must be added to 1056, so that the sum is completely divisible by 23 ?
Choices:
2
16
18
23
Answer: A
Question: A certain telescope increases the visual range at a particular location from 70 kilometers to 150 kilometers. By what percent is the visual range increased by using the telescope ?
Choices:
33 1/2%
40%
60%
114.28%
Answer: D
Question: ----------------YES---------NO----UNSURE Subject M----500--------200-----100 Subject R----400--------100-----300 A total of 800 students were asked whether they found two subjects, M and R, interesting. Each answer was either yes or no or unsure, and the numbers of students who gave these answers are listed in the table above. If 170 students answered yes only for subject M, how many of the students did not answer yes for either subject?
Choices:
230
300
400
500
Answer: A
Question: If M is a negative integer and Q is a positive integer, which of the following could be the standard deviation of a set {-7, -5, -3, M, 0, 1, 3, Q, 7}?
I. -1.5
II. -2
III. 0
Choices:
II only
III only
I and III only
None
Answer: D
Question: How many of the positive divisors Q of 120 are also multiples of 4 not including 120?
Choices:
4.
5.
7.
8.
Answer: C
Question: If x/y = 5 and (4a - x)/(b - y) = 5, then the value of a/b is?
Choices:
-2
1
5/4
3
Answer: C
Question: A farm used two harvesting machines, H and K, to harvest 100 acres of wheat. Harvesting machine H, working alone at its constant rate, harvested 40 acres of wheat in 8 hours. Then harvesting machine K was brought in, and harvesting machines H and K, working together at their respective constant rates, harvested the remaining acres of wheat in 3 hours. Harvesting machine K harvested how many acres of wheat per hour?
Choices:
8
12
13
17
Answer: D
Question: On June 1 a bicycle dealer noted that the number of bicycles in stock had decreased by 4 for each of the past 5 months. If the stock continues to decrease at the same rate for the rest of the year, how many fewer bicycles will be in stock on November 1 than were in stock on January 1?
Choices:
12
40
32
36
Answer: B
Question: The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Find the sum?
Choices:
15
40
45
20
Answer: D
Question: Rs.1170 is divided so that 4 times the first share, thrice the 2nd share and twice the third share amount to the same. What is the value of the third share?
Choices:
540
882
266
222
Answer: C
Question: Jolene entered an 18-month investment contract that guarantees to pay 2 percent interest at the end of 6 months, another 3 percent interest at the end of 12 months, and 4 percent interest at the end of the 18 month contract. If each interest payment is reinvested in the contract, and Jolene invested $10,000 initially, what will be the total amount of interest paid during the 18-month contract?
Choices:
$726.24
$900.00
$920.24
$926.24
Answer: D
Question: If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area?
Choices:
120
130
140
150
Answer: A
Question: When 10 is subtracted from a number, it reduces to seven-twelve of the number. What is the sum of the digit of the number
Choices:
24
46
48
45
Answer: A
Question: 6^4 is equal to which of the following?
Choices:
1,296
660
662
1,608
Answer: A
Question: In a group of cows and hens, the number of legs are 18 more than twice the number of heads. The number of cows is
Choices:
7
9
12
14
Answer: B
Question: If a is an even integer and b is an odd integer which of the following must be an odd integer :
Choices:
ab
2a+b
2(a+b)
3a/b
Answer: B
Question: Two integers are in the ratio of 1 to 4. If 12 is added to the smaller number, the ratio becomes 1 to 1. Find the larger integer.
Choices:
16
32
48
54
Answer: A
Question: The 38 parents participating in the Smithville PTA have been assigned to at least 1 of 3 committees: festival planning, classroom aid, and teacher relations. 21 parents are assigned to the festival planning committee, 18 parents are assigned to the classroom aid committee, and 19 parents are assigned to the teacher relations committee. If 5 parents are assigned to all 3 committees, how many parents are assigned to exactly 2 committees?
Choices:
6
8
9
10
Answer: D
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 30, find the ages of Toby and Debby?
Choices:
3 and 7
6 and 10
5 and 10
12 and 16
Answer: A
Question: A man invests some money partly in 9% stock at 96 and partly in 12% stock at 120.To obtain equal dividends from both,he must invest the money in the ratio :
Choices:
3 : 5
4 : 5
16 : 15
None
Answer: C
Question: When asked how old she was, Pooja replied, 'In 2 years I will be twice as old as I was five years ago.'
How old is she ?
Choices:
12 years
8 years
10 years
15 years
Answer: A
Question: Set S has a mean of 10 and a standard deviation of 1.5. We are going to add two additional numbers to Set S. Which pair of numbers would decrease the standard deviation the most?
Choices:
{9, 11}
{10, 18}
{7, 13}
{16, 16}
Answer: A
Question: Out of 6 balls a pair is to be selected for a game. At most, how many different pairs are possible?
Choices:
90
50
15
25
Answer: C
Question: A train starts with the speed of 50km/hr with its speed increasing every two hours by 20kmph. In how many hours will it cover 330 kms
Choices:
5 hrs
6 hrs
4 ½ hrs
5 hrs
Answer: A
Question: A cyclist covers a distance of 500m in 4 min 30sec. What is the speed in km/hr of the cyclist?
Choices:
2.5
3.2
4.6
2.8
Answer: B
Question: A certain tire company can produce tires at a cost of $22,500 per batch plus $9 per tire. The company can sell tires to the wholesaler at a cost of $20 per tire. If a batch of 15,000
tires is produced and sold, what is the company’s profit per tire?
Choices:
$9.50
$11.00
$13.50
$20.00
Answer: A
Question: During a Thanksgiving weekend, a car rental company rented six-tenths of their vehicles, including three-fifths of the 4WDs that it had. If 60% of the vehicles are 4WDs, then what percent of the vehicles that were not rented were not 4WDs?
Choices:
30%
40%
60%
25%
Answer: B
Question: A certain characteristic in a large population has a distribution that is symmetric about the mean m. If 68% of the distribution lies one standard deviation s of the mean, what percent of the distribution is less than m+s?
Choices:
32%
48%
84%
92%
Answer: C
Question: Eight identical machines can produce 360 aluminum cans per hour. If all of the machines work at the same constant rate, how many cans could 5 such machines produce in 5 hours?
Choices:
750
1,125
5,900
7,500
Answer: B
Question: A sum was put a simple interest at a certain rate for 1 years. Had it been put at 6% higher rate, it would have fetched Rs. 30 more. The sum is:
Choices:
s.500
s.700
s.800
s.900
Answer: A
Question: If 12 men do a work in 80 days, in how many days will 16 men do it?
Choices:
29
22
60
12
Answer: C
Question: The greatest common factor of positive integers m and n is 10. What is the greatest common factor of (2m^2, 2n^2)?
Choices:
10
100
200
400
Answer: C
Question: At an elementary school, 70% of the faculty members are women and 40% of the faculty members are married. If 1⁄3 of the men are single, what fraction of the women are married?
Choices:
7⁄10
2/7
7⁄30
5⁄70
Answer: B
Question: Two cars cover the same distance at the speed of 60 and 62 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car.
Choices:
1848
1860
1838
1939
Answer: B
Question: Jaclyn buys $60 000 worth of debentures in a company. She earns 9.5% p.a. simple interest, paid to her quarterly (that is, every 3 months). If the agreed period of the debenture was 18 months: calculate the amount of interest Jaclyn will earn for each quarter
Choices:
1234
1289
1425
None of these
Answer: C
Question: Exactly 18% of the reporters for a certain wire service cover local politics in Country X. If 40% of the reporters who cover politics for the wire service do not cover local politics in Country X, what percent of the reporters for the wire service do not cover politics?
Choices:
42%
44%
70%
84%
Answer: C
Question: A local bank that has 15 branches uses a two-digit code to represent each of its branches. The same integer can be used for both digits of a code, and a pair of two-digit numbers that are the reverse of each other (such as 17 and 71) are considered as two separate codes. What is the fewest number of different integers required for the 15 codes?
Choices:
4
5
6
7
Answer: A
Question: Solution Y is 30 percent liquid P and 70 percent water. If 2 kilograms of water evaporate from 8 kilograms of solutions Y and 2 kilograms of solution Y are added to the remaining 6 kilograms of liquid, what percent of this new liquid solution is liquid P?
Choices:
33 1/3%
37 1/2%
40%
50%
Answer: B
Question: Machine T can produce x units in 3/4 of the time it takes machine N to produce x units. Machine N can produce x units in 2/3 the time it takes machine O to produce x units. If all three machines are working simultaneously, what fraction of the total output is produced by machine N?
Choices:
1/3
4/13
8/29
6/33
Answer: B
Question: If all the numbers 2, 3, 4, 5, 6, 7, 8 are arranged, find the number of arrangements in which 2, 3, 4, are together?
Choices:
680
720
740
750
Answer: B
Question: The average of first 10 natural numbers is?
Choices:
5.5
5.4
5.1
5.2
Answer: A
Question: A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is:
Choices:
5 kmph
10 kmph
15 kmph
120 kmph
Answer: D
Question: How long will take a leak at the bottom of a tank to empty it if it will take
8 hours to fill it without the leak, but due to the leak it will take 9 hours to be filled?
Choices:
33 hours
72 hours
82 hours
92 hours
Answer: B
Question: The S.I. on a certain sum of money for 3 years at 8% per annum is half the C.I. on Rs. 4000 for 2 years at 10% per annum. The sum placed on S.I. is?
Choices:
2802
1750
2990
2982
Answer: B
Question: Which of the following options represents an approximate value for the question mark (?) in the following equation? 662.4 + 15.2 × 4.1 + ? = 672.951
Choices:
74.9
76.9
77.9
72.9
Answer: D
Question: A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, then how old is B?
Choices:
8
5
4
10
Answer: D
Question: When 1/10 percent of 6,000 is subtracted from 1/10 of 6,000, the difference is
Choices:
50
450
495
694
Answer: D
Question: A sum was put at simple interest at a certain rate for 7 years Had it been put at 2% higher rate, it would have fetched 140 more. Find the sum.
Choices:
750
1000
1250
1500
Answer: B