antoine-444/aqua_rat_dataset huggingface dataset:
Question: You hold some gold in a vault as an investment. Over the past year the price of gold increases by 52%. In order to keep your gold in the vault, you must pay 6% of the total value of the gold per year. What percentage has the value of your holdings changed by over the past year.
Choices:
42.88$
45%
45.5%
46.3%
Answer: A
Question: In how many ways can you seat 4 people on a bench if one of them, Rohit, does not want to sit on the middle seat or at either end?
Choices:
1720
2880
6
10080
Answer: C
Question: 5/8 of the population of the country of Venezia lives in Montague Province, while the rest lives in Capulet Province. In the upcoming election, 80% of Montague residents support Romeo, while 70% of Capulet residents support Juliet; each resident of Venezia supports exactly one of these two candidates. Rounded if necessary to the nearest percent, the probability that a Juliet supporter chosen at random resides in Capulet is
Choices:
41%
45%
72%
68%
Answer: D
Question: A sum of Rs. 395 was divided among A, B, and C in such a way that B gets 25% more than A and 20% more than C. What is the share of A?
Choices:
Rs.180
Rs. 98
Rs. 120
Rs. 130
Answer: C
Question: Let us say that a table tennis tournament was going on with knock out terms which means the one who loses the match is out of the tournament. 50 players took part in that tournament.
How many matches were played?
Choices:
88 matches.
49 matches.
66 matches.
55 matches.
Answer: B
Question: Two cars start at the same time from A and B which are 120 km apart. If the two cars travel in opposite direction they meet after one hour and if they travel in same direction ( from A towards B) then A meets B after 6 hours. What is the speed of the car starting from A?
Choices:
70 kmph
60 kmph
Data Inadequate
None of these
Answer: A
Question: The profit obtained by selling an article for Rs. 57 is the same as the loss obtained by selling it for Rs. 43. What is the cost price of the article?
Choices:
Rs. 50
Rs. 49
Rs. 59
None of these
Answer: A
Question: Ram professes to sell his goods at the cost price but he made use of 925 grms instead of a kg, what is the gain percent?
Choices:
7 9/13%
3 9/13%
4 9/13%
5 9/13%
Answer: A
Question: Two men Amar and Bhuvan have the ratio of their monthly incomes as 6 : 5. The ratio of their monthly expenditures is 3 : 2. If Bhuvan saves one-fourth of his income, find the ratio of their monthly savings?
A. 3 : 5
Choices:
3:10
3:21
3:12
3:14
Answer: A
Question: The total of a company's assets in 1994 was 200% greater than the total in 1993, which in turn was 400% greater than the total in 1992. If the total of the company's assets in 1992 was N dollars, what were the company's assets in 1994?
Choices:
7N
10N
15N
20
Answer: C
Question: Three men rent a pasture for Rs. 660. The first used it for 50 sheep for 4 months, the 2nd for 40 sheep for 3 months and the 3rd for 46 sheep for 5 months. How much should the first pay ?
Choices:
Rs. 235
Rs. 240
Rs. 276
Rs. 286
Answer: C
Question: In how many ways can 5 boys and 2 girls be seated on 8 chairs so that no two girls are together?
Choices:
14400
480
5670
40320
Answer: C
Question: Find the average of the series : 312, 162, 132, 142 and 122?
Choices:
172
128
107
174
Answer: D
Question: In how many ways can the letters of the word 'LEADER' be arranged?
Choices:
73
360
840
849
Answer: B
Question: A thief is noticed by a policeman from a distance of 200 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:
100 m
190 m
200 m
None of these
Answer: A
Question: If 21520 books need to be placed in boxes and each box can contain at most 9 books. How many books will be in the last unfilled box?
Choices:
8 books
1 book
4 books
5 books
Answer: B
Question: How many seconds will a train 120 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
Choices:
27 sec
24 sec
25 sec
26 sec
Answer: A
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 54 km/hr. What is the length of the platform?
Choices:
240
881
278
123
Answer: A
Question: 287 x 287 + 269 x 269 - 2 x 287 x 269 = ?
Choices:
646
666
324
333
Answer: C
Question: If Re.100 amounts to Rs.300 over a period of 10 years. What is the rate of simple interest?
Choices:
20%
15%
10%
12%
Answer: A
Question: When N is divided by 10 the remainder is 1 and when N is divided by 3 the remainder is 2. What is the remainder G when N is divided by 30?
Choices:
(b) 7
(c) 11
(d) 13
(e) 17
Answer: B
Question: A recycling facility is staffed by 12 floor workers and one manager. All of the floor workers are paid equal wages, but the manager is paid n times as much as a floor worker. If the manager’s wages account for 1/11 of all wages paid at the facility, what is the value of n?
Choices:
1.1
2.2
2.3
2.4
Answer: A
Question: 8th Dec 2007 was Saturday, what day of the week was it on 8th Dec, 2006?
Choices:
Tuesday
Friday
Tuesday
Monday
Answer: B
Question: Rahul went to a shop and bought things worth Rs. 27, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choices:
20
22
20.4
21.7
Answer: D
Question: In a school with 5 classes, each class has 2 students less than the previous class. How many students are there in the largest class if the total number of students at school is 115?
Choices:
26
27
28
29
Answer: B
Question: In a can, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 6 : 5. Find the capacity of the can?
Choices:
44
74
12
23
Answer: A
Question: Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 4 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?
Choices:
1:3
3:1
1:5
1:4
Answer: B
Question: If the digits 35 in the decimal 0.00035 repeat indefinitely, what is the value of (10^5-10^3)(0.00035)?
Choices:
41
3.5e-05
35
3.5e-07
Answer: A
Question: Coins are to be put into 10 pockets so that each pocket contains at least one coin. At most 6 of the pockets are to contain the same number of coins, and no two of the remaining pockets are to contain an equal number of coins. What is the least possible number of coins needed for the pockets?
Choices:
13
20
22
28
Answer: B
Question: A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is?
Choices:
1
3
7
5
Answer: A
Question: If a = 2, what is the value of –(a^2 + a^3 + a^4 + a^5)?
Choices:
-60
0
4
14
Answer: A
Question: Two cards are drawn at random from a pack of 52 cards.what is the probability that either both are black or both are queen?
Choices:
55/221
55/223
55/227
56
Answer: A
Question: When the price of an article was reduced by 15% its sale increased by 80%. What was the net effect on the sale?
Choices:
44% decrease
53% increase
66% increase
66% decrease
Answer: B
Question: Which number comes next in the series
5 12 24 36 ?
Choices:
52
60
120
23
Answer: A
Question: How many ways are there to lay four balls, colored red, black, blue and green in a row?
Choices:
33
44
23
77
Answer: A
Question: Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
Choices:
25200
120
1000
20000
Answer: A
Question: X, Y, and Z are three different Prime numbers, the product XYZ is divisible by how many different positive numbers?
Choices:
6
8
9
12
Answer: B
Question: Jane and Ashley take 10 days and 40 days respectively to complete a project when they work on it alone. They thought if they worked on the project together, they would take fewer days to complete it. During the period that they were working together, Jane took an eight day leave from work. This led to Jane's working for four extra days on her own to complete the project. How long did it take to finish the project ?
Choices:
15.2 Days
16.2 Days
18 Days
20 Days
Answer: A
Question: Evaluate 35 / .07
Choices:
500
505
None of these
506
Answer: A
Question: The number N is 7,6H4, where H represents the ten's digit. If N is divisible by 9, what is the value of H?
Choices:
1
5
7
9
Answer: A
Question: Rs.585 is divided amongst A, B, C so that 4 times A's share, 6 times B's share and 3 times C's share are all equal. Find C's share?
Choices:
260
817
716
616
Answer: A
Question: a = 2^15 - 625^3 and a/x is an integer, where x is a positive integer greater than 1, such that it does NOT have a factor p such that 1 < p < x, then how many different values for x are possible?
Choices:
One
Two
Three
Four
Answer: A
Question: A train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 16 seconds. What is the length of the platform in meters?
Choices:
360 meters
280 meters
600 meters
Cannot be determined
Answer: B
Question: IN Common Wealth Games an athlete runs 400 meters in 24 seconds. Hisspeed is ?
Choices:
27 km/hr
60.60 km/hr
32 km/hr
None of these
Answer: B
Question: If 2^2n + 2^2n + 2^2n + 2^2n = 4^28, then n =
Choices:
6
12
27
24
Answer: C
Question: It takes Jim N minutes to prepare one omelet. It takes Cole N/2 minutes to prepare one omelet. It takes Mitch N/2 minutes to prepare 2 omelets. If Jim, Cole and Mitch together prepare a total of 30 omelets in 40 minutes, then how many minutes would it take Mitch alone to prepare 30 omelets?
Choices:
70
140
160
280
Answer: A
Question: The dimensions of a field are 10 m by 10 m. A pit 5 m long, 5 m wide and 3 m deep is dug in one corner of the field and the earth removed has been evenly spread over the remaining area of the field. What will be the rise in the height of field as a result of this operation ?
Choices:
2.5m
1.5m
1.25m
1m
Answer: D
Question: If a, b and c are even integers, which of the following could be the value of a^2 + b^2 + c^2?
Choices:
b)84
c)85
d)87
e)90
Answer: A
Question: A bag contains 8 red and 5 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Choices:
4/7
5/8
1/4
5/7
Answer: A
Question: A farmer planned to plough a field by doing 120 hectares a day. After two days of work he increased his daily productivity by 25% and he finished the job two days ahead of schedule. What is the area of the field?
Choices:
1430
1450
1440
1460
Answer: C
Question: The average temperature for Monday, Tuesday, Wednesday and Thursday was 48 degrees and for Tuesday, Wednesday, Thursday and Friday was 46 degrees. If the temperature on Monday was 42 degrees. Find the temperature on Friday?
Choices:
27
22
34
20
Answer: C
Question: A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 7 employees to 2 different offices?
Choices:
310
343
243
123
Answer: B
Question: If x is an integer and x + x^2 + x^3 is odd, which of the following must be even?
Choices:
x^2
x^3
3x
x + x^2
Answer: D
Question: If it would take one machine 15 minutes to fill a large production order and another machine 25 minutes to fill the same order, how many minutes would it take both machines working together, at their respective rates, to fill the order?
Choices:
5
5 5/11
5 1/2
9 3/8
Answer: D
Question: 12 buckets of water fill a tank when the capacity of each tank is 13.5 litres. How many buckets will be needed to fill the same tank, if the capacity of each bucket is 9 litres?
Choices:
15
16
18
19
Answer: C
Question: Which of the following number will completely divide (36^9)-1?
Choices:
6
7
9
4
Answer: B
Question: If x is a positive number and 1/3 the square root of x is equal to 3x, then x =
Choices:
1/9
1/81
1
81
Answer: B
Question: In a software company 4/10 of people know C++, 2/4 of them know java, 2/8 of them know neither,find the total possibility to know C++?
Choices:
1/4
1/2
2/3
3/4
Answer: A
Question: Percentage of profit earned by selling a book for $1380 is equal to the percentage loss incurred by selling the same book for $1020. What price should the book be sold to make 20% profit?
Choices:
$1440
$1500
$1680
$2000
Answer: A
Question: In how many ways can five boys and three girls sit in a row such that all girls sit together?
Choices:
B)9022
C)2880
D)1097
E)4320
Answer: D
Question: If (2^x)(3^y) = 216, where x and y are positive integers, then (2^x-1)(3^y-2) equals:
Choices:
12
48
96
144
Answer: A
Question: John walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 8 minutes earlier. How far is the office from his house?
Choices:
3 1/5 Km
3 2/5 Km
3 3/5 Km
4 1/5 Km
Answer: A
Question: Village A’s population is 300 greater than Village B's population. If Village B’s population were reduced by 600 people, then Village A’s population would be 4 times as large as Village B's population. What is Village B's current population?
Choices:
900
1100
1200
1300
Answer: A
Question: A business executive and his client are charging their dinner tab on the executive's expense account.The company will only allow them to spend a total of 50$ for the meal.Assuming that they will pay 7% in sales tax for the meal and leave a 15% tip,what is the most their food can cost?
Choices:
40.63$
41.63$
42.15$
43.15$
Answer: A
Question: The total of the ages of Mahesh, Suresh, Ramesh is 102 years. Ten years ago, the ratio of their ages was 2:3:4. What is the present age of Mahesh?
Choices:
42years
45years
35years
30years
Answer: A
Question: How many digits will be there to the right of the decimal point in the product of 98 and .08216 ?
Choices:
5
9
7
8
Answer: A
Question: If two numbers are in the ratio 5:6. If 10 is added to both of the numbers then the ratio becomes 6:7 then find the smallest number?
Choices:
20
30
40
50
Answer: D
Question: The king of a country and 4 other dignitaries are scheduled to sit in a row on the 5 chairs represented above. If the king must sit in the center chair, how many different seating arrangements are possible for the 5 people?
Choices:
5
24
20
120
Answer: B
Question: X, Y and Z, each working alone can complete a job in 6, 8 and 12 days respectively. If all three of them work together to complete a job and earn $2350, what will be Z's share of the earnings?
Choices:
$550.50
$1080.02
$522.3
$1020.2
Answer: C
Question: 3 no. leave remainders of 43, 47 & 49 on division by N. The sum of the three no.'s leaves a remainder 9 on division by N. What are the values N can take?
Choices:
35
38
67
More than one value is possible
Answer: D
Question: In how many ways can a group of 16 friends be seated round 2 tables if one of the tables can seat 10 and the other can seat 6 people?
Choices:
15C3 * 8! *3!
15C4 * 9! *3!
16C4 * 9! *5!
16C5 * 10! *4!
Answer: C
Question: Which of the following is(are) true for a@b=b@a?
I. a@b=ab+ba
II. a@b=(a+b)(a-b)
III. a@b=(a/b)+(b/a)
Choices:
only Ⅱ
only Ⅲ
only Ⅰ& Ⅲ
only Ⅱ & Ⅲ
Answer: C
Question: The first doughnut is priced at $1 and then if you purchase additional doughnuts as dozens then the price is $6/dozen. What is the total number of doughnuts purchased if you paid $25?
Choices:
49
53
57
61
Answer: A
Question: Square A has an area of 65 square centimeters. Square B has a perimeter of 16 centimeters. If square B is placed within square A and a random point is chosen within square A, what is the probability the point is not within square B?
Choices:
0.5
0.75
0.1
0.3
Answer: B
Question: 32 = a + 2b
|a| > 2
If ‘a’ and ‘b’ are both integers, then what is the smallest possible values of ‘a’ that can be used to solve the above equation.
Choices:
3
4
5
6
Answer: B
Question: A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B's capital was used?
Choices:
5
34
7
9
Answer: C
Question: What is the dividend. divisor 20, the quotient is 8 and the remainder is 6
Choices:
B)148
C)150
D)153
E)166
Answer: D
Question: What is the greatest positive integer x such that 3^x is a factor of 9^9?
Choices:
9
10
18
30
Answer: C
Question: each man in a gang of 100 investors has investments ineither equities or securities or both. Exactly 2525 of the investors in equities haveinvestments in securities, exactly 4040 of the investorsin securities have investments inequities. How many have investmentsin equities?
Choices:
80
90
100
120
Answer: A
Question: An alloy is to contain copper and zinc in the ratio 5:3. The zinc required to be melted with 40kg of copper is?
Choices:
20kg
8kg
24kg
32kg
Answer: C
Question: Pipe A can fill a tank in 9 hours, pipe B in 18 hours and pipe C in 54 hours. If all the pipes are open,in how many hours will the tank be filled ?
Choices:
5.4
5
5.2
5.5
Answer: A
Question: A student scored an average of 80 marks in 3 subjects: Physics, Chemistry and Mathematics. If the average marks in Physics and Mathematics is 90 and that in Physics and Chemistry is 70, what are the marks in Physics?
Choices:
37
80
36
13
Answer: B
Question: 12 welders work at a constant rate they complete an order in 3 days. If after the first day, 9 welders start to work on the other project, how many more days the remaining welders will need to complete the rest of the order?
Choices:
2
8
4
6
Answer: B
Question: Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be:
Choices:
175.5
169.5
180
190
Answer: A
Question: What approximate value should come in place of the question mark (?) in the following equation ?
5⁄7 of 1596 + 3015 = ? – 2150
Choices:
48000
5300
58000
6300
Answer: D
Question: A 12% stock yielding 8% is quoted at?
Choices:
170
175
150
185
Answer: C
Question: 3x + 2y = 19 , and x + 3y = 1. Find the value of 4x + 5y
Choices:
18
11
20
5
Answer: C
Question: In the coordinate plane, the points F (-1,1), G (1,4), and H (4,1) lie on a circle with center P. What are the coordinates of point P ?
Choices:
(1,1)
(1.5,1.5)
(1,-2)
(2.5, -2.5)
Answer: C
Question: George's drawer has 10 loose black socks, 13 loose blue socks, and 8 loose white socks. If George takes socks out of the drawer at random, how many would he need to take out to be sure that he had at least two matching pairs of socks in two different colors?
Choices:
9
11
16
20
Answer: C
Question: If 50 apprentices can finish a job in 4 hours, and 30 journeymen can finish the same job in 8 hours, how much of the job should be completed by 10 apprentices and 15 journeymen in one hour?
Choices:
29/180
9/80
1/5
39/121
Answer: B
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 6 Gallons of water and 12 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
90
Answer: D
Question: A group of students was interviewed for that if it was asked whether or not they speak French and / or English. Among those who speak French, 10 speak English well, while 40 of them do not speak English. If 75% of students do not speak French, how many students were surveyed?
Choices:
225
200
250
300
Answer: B
Question: Townville has 100 residents, and 40 of them are females. If half of Townville’s male residents are smokers, and 1/4 of the female residents are smokers, which of the following represents the total number of Townville’s residents who are NOT smokers?
Choices:
58
62
60
64
Answer: C
Question: A cricket player whose bowling average was 21.5 runs per wicket, takes 5 wicket for 52 runs in a match. Due to this his average decreases by 0.5. What will be the number of wickets taken by him till the last match?
Choices:
72
111
721
108
Answer: B
Question: Three pieces of timber 54 m, 63 m and 81 m long have to be divided into planks of the same length, What is the greatest possible length of each plank ?
Choices:
9 m
4 m
6 m
None of these
Answer: A
Question: Pipe A fills a tank in 30 minutes. Pipe B can fill the same tank 5 times as fast as pipe A. If both the pipes were kept open when the tank is empty, how much time will it take for the tank to overflow?
Choices:
6 mins
5 mins
3 mins
7 mins
Answer: B
Question: Each month a retailer sells 100 identical items. On each item he makes a profit of $60 that constitutes 10% of the item's price to the retailer. If the retailer contemplates giving a 5% discount on the items he sells, what is the least number of items he will have to sell each month to justify the policy of the discount?
Choices:
213
221
223
226
Answer: C
Question: If x and y are positive integers, and 1 is the greatest common divisor of x and y, what is the greatest common divisor S of 2x and 3y?
Choices:
S=Cannot be determined
S=2
5
6
Answer: A
Question: 0.0023*0.13/0.236=my age
0.022*0.12/0.220=my wife age
then what is difference b/w ages?
Choices:
0.01073
0.03076
0.04078
0.0578
Answer: A
Question: The ratio of cats to dogs to birds to fish is 5:6:7:8. There are no other types of animals in the pet store.which of the followingcannotbe the total number of animals in the store?
Choices:
78
104
130
223
Answer: D
Question: Ashok has Rs.1000, He invests a part of it at 3% per annum and remainder at 8% per annum, He earns Rs.100 in 2 years. Find the sum invested at different rates of interest?
Choices:
Rs.600, Rs.400
Rs.700, Rs.300
Rs.300, Rs.700
Rs.300, Rs.800
Answer: A
Question: If q = 35! + 1, which of the following cannot be a prime factor of q?
I. 11
II. 19
III. 31
Choices:
III only
II and III
I and II
I​, II, and III
Answer: D
Question: what is the sum of all the 4 digit numbers that can be formed using all of the digits 2,3,5 and 7?
Choices:
113322
114322
113321
112322
Answer: A
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 5 sec. What is the length of the fast train?
Choices:
27 7/6
27 7/4
27 7/9
27 7/1
Answer: C
Question: If 25% of x is 30 less than 20% of 1000, then x is?
Choices:
216
156
680
121
Answer: C
Question: A sum of money is put out at compound interest for 2 years at 20%. It would fetch Rs.482 more if the interest were payable half-yearly, then it were pay able yearly. Find the sum?
Choices:
279
267
200
269
Answer: C
Question: Rose and Anna are partners in a business. Rose runs the business and receives 12% of the profit for managing the business, the rest is divided in proportion of their capitals. Rose invested Rs.12000 and Anna invested Rs.20000. the rest is divided in proportion of their capitals. Out of a total profit of Rs.9000, how much did Rose receive?
Choices:
5839
5832
5838
5832
Answer: B
Question: Find the value of x from this equation? 7(x - 1) = 21
Choices:
4
6
8
10
Answer: A
Question: A batsman in his 17th innings makes a score of 85 and their by increasing his average by 3. What is his average after the 17thinnings?
Choices:
7
76
37
9
Answer: C
Question: Obra drove 150π meters along a circular track. If the area enclosed by the circular track on which she drove is 57,600π square meters, what percentage of the circular track did Obra drive?
Choices:
12.5%
18.75%
25%
31.25%
Answer: D
Question: There are four different models that are to appear in a fashion show. Two are from Europe, two are from South America, and two are from North America. If all the models from the same continent are to stand next to each other, how many ways can the fashion show organizer arrange the models?
Choices:
48
64
24
8
Answer: D
Question: If the numerator of a fraction E is tripled, and the denominator of a fraction is doubled, the resulting fraction will reflect an increase of what percent?
Choices:
25%
33 1⁄3%
50%
66 2⁄3%
Answer: C
Question: If X boxes of mango juice cost 112 cents, how much will Y boxes cost in dollars?
Choices:
3Y*1.12/x
Y*12/x
Y*0.12/x
Y*1.12/x
Answer: D
Question: Two persons start running simultaneously around a circular track of length 300 m from the same point at speeds of 13 km/hr and 23 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
Choices:
30 sec
17 sec
23 sec
27 sec
Answer: A
Question: You are given three coins: one has heads on both faces, the second has tails on both faces,
and the third has a head on one face and a tail on the other. You choose a coin at random and
toss it, and it comes up heads. The probability that the other face is tails is
Choices:
1/3
1/2
2/3
4/3
Answer: B
Question: One hour after Yolanda started walking from X to Y, a distance of 31 miles, Bob started walking along the same road from Y to X. If Yolandaâs walking rate was 1 miles per hour and Bobâs was 2 miles per hour, how many miles had Bob walked when they met?
Choices:
20
22
21
19.5
Answer: A
Question: In a graduating class of 236 students, 144 took geometry and 119 took biology. What is the difference between the greatest possible number and the smallest possible number of students that could have taken both geometry and biology?
Choices:
119
113
117
31
Answer: C
Question: if a number cube is rolled once and a coin is tossed once. what is the probability that coin will show tails and composite number on on the cube
Choices:
1/6
3/6
4/6
5/6
Answer: A
Question: A corporation four time of its annual bonus to 35 of its employees. What percent of the employees’ new bonus is the increase?
Choices:
12%
25%
75%
63%
Answer: C
Question: What should be next in the given series?
2, 7, 10, 22, 18, 37, 26
Choices:
37
29
271
52
Answer: D
Question: A can do a piece of work in 4 hours . A and C together can do it in just 2 hours, while B and C together need 3 hours to finish the same work. In how many hours B can complete the work ?
Choices:
12 hours
16 hours
18 hours
20 hours
Answer: A
Question: A trailer carries 3, 4 and 6 crates on a trip. Each crate weighs no less than 100 kg. What is the maximum weight of the crates on a single trip?
Choices:
100
600
7500
375
Answer: A
Question: Sushil got thrice as many marks in English as in Science. His total marks in English, Science and Maths are 162. If the ratio of his marks in English and Maths is 3:5, find his marks in Science?
Choices:
24
18
15
17
Answer: B
Question: Which of the following numbers is the biggest => [-6/7 , -7/8 , -9/10 , -12/13 , -34/35]
Choices:
-6/7
-9/10
-12/13
-34/35
Answer: A
Question: The sum of the heights of two high-rises is x feet. If the second high rise is 37 feet taller than the first, how tall will the first high rise be ?
Choices:
2x−(37+z)
(x−37)/2 + z
(x - 37 )/2
(2x−37)/z
Answer: C
Question: A shopkeeper sold an article offering a discount of 5% and earned a profit of 42.5%. What would have been the percentage of profit earned if no discount had been offered?
Choices:
27.675
30
50
None of these
Answer: C
Question: There are 10 books on a shelf: 5 English books, 4 Spanish books and 2 Portuguese books. What is the probability of choosing 2 books in different languages?
Choices:
3/10
1/3
38/45
28/90
Answer: C
Question: 3 people gave you 5 dollars. How many dollars do you have in all
Choices:
15
0
67
100
Answer: A
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 200 more than the correct answer. Find the number.
Choices:
280
384
400
500
Answer: B
Question: The Red Hotel has booked 1/4 of its rooms. The Blue Hotel has Has three times the capacity of the red hotel but has only booked 1/8 of its rooms. If all the bookings from the Red Hotel switched to the Blue Hotel, What fraction of the Blue Hotel's rooms would be booked?
Choices:
3/4
7/16
5/24
1/5
Answer: C
Question: A coin is weighted so that the probability of heads on any flip is 0.4, while the probability of tails is 0.6. If the coin is flipped 5 times independently, which of the following represents the probability that tails will appear no more than twice?
Choices:
(0.4)^5 + 5(0.4)^4(0.6) + 10(0.4)^3(0.6)^2
(0.6)^5 + 3(0.6)^4(0.4) + 2(0.6)^3(0.4)^2
(0.6)^5 + 2(0.6)^4(0.4) + (0.6)^3(0.4)^2
(0.6)^5 + (0.6)^4(0.4) + (0.6)^3(0.4)^2
Answer: A
Question: train start from mumbai to delhi at 12.00am with speed of 60km/hr another train starts from delhi to mumbai at 1.30 with speed of 80km/hr find time when they meet.
Choices:
6am
7am
8am
9am
Answer: A
Question: What is the smallest positive integer x such that 720-x is the cube of a positive integer
Choices:
7
47
9
12
Answer: C
Question: In a candy dish the ratio of red to yellow candies is 2:5, the ratio of red to green candies is 3:8, and the ratio of yellow ot blue candies is 9:2.what is the maximum total number T of yellow and green candies combined if the maximum combined number of red and blue candies is fewer than 85?
Choices:
189
234
279
309
Answer: C
Question: The output of a factory is increased by 10% to keep up with rising demand. To handle the holiday rush, this new output is increased by 50%. By approximately what percent would the output of the factory now have to be decreased in order to restore the original output?
Choices:
24%
30%
32%
39%
Answer: D
Question: A is half good a work man as B and together they finish a job in 32 days. In how many days working alone B finish the job?
Choices:
21 days
48 days
18 days
19 days
Answer: B
Question: How many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
Choices:
28
25
77
88
Answer: B
Question: At Veridux Corporation, there are 250 employees. Of these, 90 are female, and the rest are males. There are a total of 40 managers, and the rest of the employees are associates. If there are a total of 160 male associates, how many female managers are there?
Choices:
40
25
30
35
Answer: A
Question: A tradesman sold an article at a loss of 10%. If the selling price had been increased by $50, there would have been a gain of 10%. What was the cost price of the article ?
Choices:
$250
$200
$150
$300
Answer: A
Question: Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are:
Choices:
41, 32
42, 33
43, 34
40, 32
Answer: B
Question: Larry, Michael, and Peter have five donuts to share. If any one of the men can be given any whole number of donuts from 0 to 5, in how many different ways can the donuts be distributed?
Choices:
21
120
504
5040
Answer: A
Question: If n is a natural number, then (6n2 + 6n) is always divisible by:
Choices:
12 only
6 and 12 both
by 18 only
15 only
Answer: B
Question: What is the average of all the multiples of ten from 10 to 200 inclusive?
Choices:
95
100
105
110
Answer: C
Question: Jill has 28 gallons of water stored in quart, half-gallon, and one gallon jars. She has equal numbers of each size jar holding the liquid. What is the total number of water filled jars?
Choices:
6
48
12
14
Answer: B
Question: Three candidates contested an election and received 1136, 7636 and 15628 votes respectively. What percentage of the total votes did the winning candidate got?
Choices:
64%
57%
58%
59%
Answer: A
Question: How many seconds will a 500 meter long train moving with a speed of 63 km/hr take to cross a man walking with a speed of 3 km/hr in the direction of the train ?
Choices:
87
30
88
77
Answer: B
Question: What will be the fraction of 10%
Choices:
1/10
1/75
1/25
None of these
Answer: A
Question: My brother is 3 years elder to me. My father was 28 years of age when my sister was born while my mother was 26 years of age when I was born. If my sister was 4 years of age when my brother was born, then what was the age of my father when my brother was born?
Choices:
27
31
33
32
Answer: D
Question: A computer factory produces 3024 computers per month at a constant rate, how many computers are built every 30 minutes assuming that there are 28 days in one month?
Choices:
2.25.
4.5.
5.225.
6.25.
Answer: A
Question: A train travels 290 km in 4.5 hours and 400 km in 5.5 hours.find the average speed of train.
Choices:
69 kmph
70 kmph
90 kmph
None of these
Answer: A
Question: 6 men or 6 women can do a piece of work in 20 days. In how many days will 12 men and 8 women do the same work?
Choices:
6 days
82/8 days
22/76 days
22/2 days
Answer: A
Question: In an election, candidate Douglas won 54 percent of the total vote in Counties X and Y. He won 62 percent of the vote in County X. If the ratio of people who voted in County X to County Y is 2: 1, what percent of the vote did candidate Douglas win in County Y?
Choices:
28%
32%
38%
40%
Answer: C
Question: An engineer undertakes a project to build a road 10 km long in 150 days and employs 30 men for the purpose. After 50 days, he finds only 2 km of the road has been completed. Find the (approximate) number of extra men he must employ to finish the work in time.
Choices:
30
15
18
20
Answer: A
Question: Can you find the last number in the number sequence given below?
10 : 10 : 20 : 45 : 110 : 300 : ?
Choices:
930
940
950
None
Answer: A
Question: When a number is divided by 6 &then multiply by 12 the answer is 9 what is the no.?
Choices:
4.5
4.8
5.6
5.9
Answer: A
Question: A completes a work in 4 days and B complete the same work in 12 days. If both of them work together, then the number of days required to complete the work will be?
Choices:
3 days
21 days
22 days
24 days
Answer: A
Question: What is the dividend. divisor 17, the quotient is 9 and the remainder is 5
Choices:
148
150
153
158
Answer: C
Question: Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a girl sitting at window seat in the slower train in 32 seconds. Find the length of the faster train ?
Choices:
100 m
270 m
320 m
350 m
Answer: C
Question: On a certain transatlantic crossing, 20 percent of a ship's passengers held round-trip tickets and also took their cars abroad the ship. If 50 percent of the passengers with round-trip tickets did not take their cars abroad the ship, what percent of the ship's passengers held round-trip tickets?
Choices:
40%
50%
60%
66.6%
Answer: A
Question: Two quarts containing 7⁄8 water and 1/8 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:
55%
65%
77%
70%
Answer: C
Question: If two letters are chosen at random (without replacement) from the word COMPUTER, what is the probability that none of the letters are vowels?
Choices:
3/7
3/14
5/14
11/28
Answer: C
Question: The R students in a class agree to contribute equally to buy their teacher a birthday present that costs y dollars. If e of the students later fail to contribute their share, which of the following represents the additional number of dollars that each of the remaining students must contribute in order to pay for the present?
Choices:
y/(R-x)
xy/(R-x)
ey/(R(R-e))
y/(R(R-x))
Answer: C
Question: The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 20%, then the cost price of the article is:
Choices:
277
466.7
297
111
Answer: B
Question: One fourth of a solution that was 10 percent oats by weight was replaced by a second solution resulting in a solution that was 16 percent oats by weight. The second solution was what percent oats by weight ?
Choices:
34%
22%
18%
8.5%
Answer: A
Question: Express a speed of 18 kmph in meters per second?
Choices:
5 mps
6 mps
7 mps
12 mps
Answer: A
Question: In a garden, there are five blue flowers, five red flowers,five green flowers, and five pink flowers. What is the probability that a florist will choose three flowers of the same color when randomly picking three flowers?
Choices:
3/95
31/10
3/55
1/16
Answer: A
Question: An electrical appliances store sold this month 400% more than the average of all the other months in the year. The sales total for this month was approximately what percent of total sales for this year?
Choices:
21%.
31%.
37%.
43%.
Answer: A
Question: If m=9^(x−1), then in terms of m, 3^(4x−3) must be which of the following?
Choices:
9m
3m^2
m^2/3
m^2/9
Answer: B
Question: A can do a piece of work in 12 days and B in 20 days. They began the work together but 5 days before the completion of the work, A leaves. The work was completed in?
Choices:
10 5/8 days
12 5/8 days
19 5/8 days
13 5/8 days
Answer: A
Question: the egg vendor calls on his 1st customer and sells his half his eggs and half an egg.to the 2nd customer he sells half of what he had left and half an egg,and to the 3rd customer he sells half of what he had then left and half an egg.by the way he did not break any eggs.in the end 3 eggs were remainig.how many did he start out with?
Choices:
31
41
51
61
Answer: A
Question: Consider the formula M = 4c^2/d. If c is doubled and d is increased by a factor of 2, by what factor is M increased?
Choices:
2
3
4
5
Answer: A
Question: A team of seven entered for a shooting competition. The best marks man scored 85 points. If he had scored 92 points, the average scores for. The team would have been 84. How many points altogether did the team score?
Choices:
581
168
127
664
Answer: A
Question: P beats Q by 125 meter in a kilometer race. Find Q's speed if P's speed is 24 meter/sec.
Choices:
21 meter/sec
14 meter/sec
18 meter/sec
28 meter/sec
Answer: A
Question: A company plans to assign identification numbers to its employees. Each number is to consist of four different digits from 0 to 9, inclusive, except that the first digit cannot be 0. How many different identification numbers are possible?
Choices:
4,536
5,040
9,000
10,000
Answer: A
Question: 90, 180, 12, 50, 100, 100, ?, 3, 25, 4, 25, 2, 6, 30, 3
Choices:
85
75
66
77
Answer: B
Question: Of the science books in a certain supply room, 40 are on botany, 45 are on zoology, 90 are on physics, 50 are on geology, and 110 are on chemistry. If science books are removed randomly from the supply room, how many must be removed to ensure that 80 of the books removed are on the same area science?
Choices:
225
294
302
314
Answer: B
Question: A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 8500. He sold both the items together for Rs. 31150. What percentage of profit did he make?
Choices:
13.15%
40%
27.15%
None of these
Answer: C
Question: At a certain college, 60 percent of the total number of students are freshmen. If 40 percent of the fresh-men are enrolled in the school of liberal arts and, of these, 20 percent are psychology majors, what percent of the students at the college are freshmen psychology majors enrolled in the school of liberal arts?
Choices:
8%
4.2%
4.8%
5%
Answer: C
Question: In the coordinate plane, rectangular region R has vertices at (0,0), (0,3), (4,3), and (4,0). If a point in region R is randomly selected, what is the probability that the point's y-coordinate will be greater than its x-coordinate?
Choices:
5/12
3/8
1/3
1/4
Answer: B
Question: A shop sells bicycles and tricycles. In total there are 9 cycles (cycles include both bicycles and tricycles) and 21 wheels. Determine how many of each there are, if a bicycle has two wheels and a tricycle has three wheels.
Choices:
b=5,t=3
b=6,t=3
b=2,t=5
b=3,t=4
Answer: B
Question: One copy machine can make 25 copies a minute, and a second copy machine makes 35 copies a minute. If the two copiers work together, how long would it take them to make 4,800 copies?
Choices:
40 minutes
60 minutes
70 minutes
80 minutes
Answer: D
Question: By selling 15 pencils for a rupee a man loses 60%. How many for a rupee should he sell in order to gain 60%?
Choices:
4.2
5.18
3.75
4.2
Answer: C
Question: A set of numbers has the property that for any number t in the set,t+3 is in the set. If -1 is in the set, which of the following must also be in the set?
I. 2
II. 5
III. 7
Choices:
I only
I,II only
II,III only
III only
Answer: B
Question: Nine persons went to a hotel for taking their meals 8 of them spent Rs.12 each on their meals and the ninth spent Rs.8 more than the average expenditure of all the nine.What was the total money spent by them?
Choices:
Rs.117
Rs.110
Rs.107
Rs.98
Answer: A
Question: Three friends were having a party and they ordered garlic bread sticks from a nearby restaurant. Upon arrival, they divided the number of sticks among them equally. After each one of them have had four breadsticks, the total number of breadsticks that remained were equal to the breadsticks that each one of them had upon equal division.
With the data given, can you calculate the original number of garlic bread sticks ?
Choices:
26
22
19
18
Answer: D
Question: In what time will a train 200 meters long completely pass an electric pole, if it travels at a speed of 80kmph.
Choices:
9
5
10
3
Answer: A
Question: A student multiplied a number by 3/5	instead of	5/3.What is the percentage error in the calculation?
Choices:
44%
54%
64%
74%
Answer: C
Question: Rose went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choices:
19.7
19.9
20.1
20.4
Answer: A
Question: If y ≠ 3 and 2h/y is a prime integer greater than 2, which of the following must be true?
I. h = y
II. y = 1
III. h and y are prime integers.
Choices:
None
II only
III only
I and II
Answer: A
Question: In what ratio should a variety of rice costing Rs. 6 per kg be mixed with another variety of rice costing Rs. 8.75 per kg to obtain a mixture costing Rs. 7.50 per kg?
Choices:
5/6
5/1
5/3
7/6
Answer: A
Question: If m > 1 and n = 2^(m−2), then 4^m =
Choices:
16n^2
n^2
n^2/4
n^2/16
Answer: A
Question: If a light flashes every 6 seconds, how many times will it flash in 1/2 of an hour?
Choices:
301 times
401 times
451 times
481 times
Answer: A
Question: If the average (arithmetic mean) of a and b is 50 and the average of b and c is 70, what is the value of c − a?
Choices:
40
90
140
It cannot be determined from the information given.
Answer: A
Question: The average weight of a group of 30 friends increases by 2 kg when the weight of their football coach was removed. If average weight of the group after removing the weight of the football coach is 28 kg, what is the weight of their football coach?
Choices:
60 kg
61 kg
62 kg
88 kg
Answer: D
Question: If y is an integer and x = 3y + 2, which of the following CANNOT be a divisor of x?
Choices:
6
8
9
10
Answer: A
Question: Of the 800 employees of Company X, 90 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:
160
112
80
600
Answer: D
Question: If 1/a + 1/a + 1/a is an integer, which of the following must also be an integer?
Choices:
3/a
6/a
9/a
15/a
Answer: A
Question: List I: { y, 2, 4, 7, 10, 11}
List II: {3, 3, 4, 6, 7, 10}
If the median W of List I is equal to the sum of the median of list II and the mode of list II, then y equals
Choices:
7
8
W=9
10
Answer: C
Question: If y exceeds x by 26%, then x is less than y by?
Choices:
20 8/3%
20 40/63%
76 2/3%
20 2/3%
Answer: B
Question: The average of 11 numbers is 10.9. If the average of first six is 10.5 and that of the last six is 11.5 the sixth number is?
Choices:
11.3
11.8
12.1
11.1
Answer: C
Question: A 70 cm long wire is to be cut into two pieces so that one piece will be 2/3th of the other, how many centimeters will the shorter piece be?
Choices:
20
28
36
30
Answer: B
Question: If the area of a circle decreases by 30%, then the radius of a circle decreases by
Choices:
16%
36%
64%
None of these
Answer: A
Question: The ratio of two numbers is 2 : 5 and their H.C.F. is 5. Their L.C.M. is
Choices:
50
56
27
67
Answer: A
Question: 60 is subtracted from 50% of a number, the result is 10. Find the number?
Choices:
120
266
288
271
Answer: A
Question: Rs.2500 is divided into two parts such that if one part be put out at 5% simple interest and the other at 6%, the yearly annual income may be Rs.130. How much was lent at 5%?
Choices:
2000
2688
1000
2871
Answer: A
Question: Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?
Choices:
2 : 3 : 4
6 : 8 : 9
6 : 8 : 7
None of these
Answer: A
Question: 7M-20=2M,THEN M+7 IS EQUAL TO?
Choices:
10
11
12
13
Answer: B
Question: Let A = {a, b, c, d, e, f} and B = {b, d, f, g}.Find B-A
Choices:
{G}
{L}
{B}
{F}
Answer: A
Question: Deepak deposited $9,000 to open a new savings account that earned 12 percent annual interest, compounded semi-annually. If there were no other transactions in the account, what the amount of money in Deepak account one year after the account was opened?
Choices:
$10,092
$10,105
$9,405
$10,260
Answer: A
Question: Mary passed a certain gas station on a highway while traveling west at a constant speed of 50 miles per hour. Then, 15 minutes later, Paul passed the same gas station while traveling west at a constant speed of 60 miles per hour. If both drivers maintained their speeds and both remained on the highway for at least 4 hours, how long after he passed the gas station did Paul catch up with Mary?
Choices:
1.5
1.6
1.7
1.25
Answer: D
Question: A certain bag contains 100 balls â€” 50 white, 20 green, 10 yellow, 17 red, and 3 purple. If a ball is to be chosen at random, what is the probability that the ball will be neither red nor purple?
Choices:
0.75
0.6
0.8
0.5
Answer: C
Question: A shopkeeper sold an article offering a discount of 5% and earned a profit of 38.7%. What would have been the percentage of profit earned if no discount had been offered?
Choices:
46
30
Data inadequate
None of these
Answer: A
Question: If line L passes through point (m, n) and (– m, – n), where m and n are not 0, which of the following must be true?
I.	The slope of L is need not be positive
II.	The slope of L is negative
III.	L exactly passes through 2 quadrants
Choices:
II only
III only
I and II only
I and III only
Answer: D
Question: P alone can complete a piece of work in 12 days. 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:
9 days
7 (3/4) days
8 days
9 (3/4) days
Answer: A
Question: A restaurant meal cost $18.5 and there was no tax. If the tip was more than 30 percent but less than 10 percent of the cost of the meal, then the total amount paid must have been between
Choices:
$24 and $20
$38 and $40
$37 and $39
$36 and $37
Answer: A
Question: A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
Choices:
Rs.1000
Rs.860
Rs.760
Rs.500
Answer: A
Question: A man travels 250km by train at 50km/hr, 200km by ship at 20km/hr, 300km by aeroplane at 100km/hr and 100km by car at 50km/hr. What is the average speed for the entire distance?
Choices:
42.5km/hr
48.9km/hr
52.6km/hr
27.6km/hr
Answer: A
Question: A train covers a certain distance at a speed of 150kmph in 4 hours. To cover the same distance in 2 hours, it must travel at a speed of
Choices:
600km/hr
500km/hr
400km/hr
300km/hr
Answer: D
Question: Rounded to three decimal places, 1.001^4 =
Choices:
1.004
1.008
1.012
1.016
Answer: A
Question: If 40% of a certain number is 160, then what is 90% of that number?
Choices:
380
260
360
290
Answer: C
Question: An electric pump can fill a tank in 3 hours. Because of a leak in the tank, it took 12 hours to fill the tank. If the tank is full, how much time will the leak take to empty it?
Choices:
4 hours
8hours
5hours
15hours
Answer: A
Question: How many seconds does Sandy take to cover a distance of 600 meters, if Sandy runs at a speed of 18 km/hr?
Choices:
120
140
160
180
Answer: A
Question: Four cups of milk are to be poured into a 3-cup bottle and a 6-cup bottle. If each bottle is to be filled to the same fraction of its capacity, how many cups of milk should be poured into the 6-cup bottle?
Choices:
7/9
24/9
8/3
3
Answer: B
Question: An equilateral triangle T2 is formed by joining the mid points of the sides of another equilateral triangle T1. A third equilateral triangle T3 is formed by joining the mid-points of T2 and this process is continued indefinitely. If each side of T1 is 60 cm, find the sum of the perimeters of all the triangles.
Choices:
220 cm
240 cm
270 cm
360 cm
Answer: D
Question: A single discount equivalent to the discount series of 20%, 10% and 5% is?
Choices:
31.1
31.6
31.4
31.8
Answer: B
Question: Let y = 2m + x^2 and m = 5x + 4. If m^2 =81, then which of the following can be a value of 2y + 3m?
Choices:
65
141
142
160
Answer: A