antoine-444/aqua_rat_dataset huggingface dataset:
Question: If a and b are positive integers and (2^a)^b = 2^2, what is the value of 2^a*2^b?
Choices:
8
16
32
64
Answer: A
Question: Dan's age after 20 years will be 7 times his age 4 years ago. What is the present age of Dan?
Choices:
8
10
12
14
Answer: A
Question: Marge has Q candies, where Q is an integer such that 20 < Q< 50. If Marge divides the candies equally among 5 children, she will have 2 candies remaining. If she divides the candies among 6 children, she will have 1 candy remaining. How many candies will remain if she divides the candies among 7 children?
Choices:
1
2
3
4
Answer: B
Question: Find the compound ratio of (2:3), (5:3) and (2:5) is
Choices:
2:3
3:4
4:9
3:2
Answer: C
Question: The average weight of 8 persons increases by 3 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person ?
Choices:
65 kg
55 kg
89 kg
25 kg
Answer: C
Question: A cycle is bought for Rs.1000 and sold for Rs.1080, find the gain percent?
Choices:
20
12
40
8
Answer: D
Question: A train running at the speed of 60 km/hr crosses a pole in 15 seconds. What is the length of the train?
Choices:
250 metres
324 metres
150 metres
100 meters
Answer: A
Question: A right triangle AEC has to be constructed in the xy-plane so that the right angle is at A and AE is parallel to x axis. The coordinates of A, E and C are integers and satisfy the inequalities -1 ≤ x ≤ 7 and 1 ≤ y ≤ 7. How many different triangles can be constructed with these properties?
Choices:
336
567
3024
5040
Answer: C
Question: Eric, Nick and Archi make contributions to the Society Of Nature Protection in the ratio of 5:3:2.5. If altogether they contribute 6048 Nis, how much more money does Nick contribute than Archi?
Choices:
212 Nis
234 Nis
245 Nis
288 Nis
Answer: D
Question: A furniture store owner decided to drop the price of her recliners by 20% to spur business. By the end of the week she had sold 80% more recliners. What is the percentage increase of the gross?
Choices:
15%
20%
25%
44%
Answer: D
Question: A can do a piece of work in 2 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?
Choices:
9
8
6
3
Answer: D
Question: In a certain pond, 50 fish were caught, tagged, and returned to the pond. A few days later, 50 fish were caught again, of which 5 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond?
Choices:
500
1,250
2,500
10,000
Answer: A
Question: P is an integer divisible by 4 and Q is an integer divisible by 3. Which of the following must be odd?
Choices:
2P+3Q
P*Q^2
P^2*Q^3
None of the above.
Answer: D
Question: If 12 men or 20 women can do a piece of work in 81 days, then in how many days can 9 men and 12 women together do the work?
Choices:
30 days
20 days
60 days
40 days
Answer: C
Question: There are 16 teams in a tournament. If during the first round, each team plays every other team exactly once, how many games will be played in the first round?
Choices:
30
120
240
256
Answer: B
Question: An intelligence agency forms a code of two distinct digits selected from 0, 1, 2, …, 9 such that the first digit of the code is nonzero. The code, handwritten on a slip, can however potentially create confusion when read upside down — for example, the code 91 may appear as 16. How many codes are there for which no such confusion can arise?
Choices:
78
71
69
None
Answer: B
Question: If (x - 1)^2 = 324, which of the following could be the value of x - 4?
Choices:
14
-19
-21
-23
Answer: C
Question: 300 first-time customers of a fashion store were surveyed for their shopping experience right after leaving the store. 60% of the customers in the survey had purchased clothes for less than $100. 40% of the customers in the survey reported they were overall satisfied with their purchase. 55% of the customers that had purchased clothes for less than $100 reported they were overall satisfied with their purchase. What percent of the customers surveyed purchased clothes for at least $100 and reported that they were NOT overall satisfied with their purchase?
Choices:
7
35
45
75
Answer: A
Question: Anthony and Cindy were each given x dollars in advance to perform at a community festival. Anthony eventually performed on all 14 days of the festival, while Cindy performed on 5 fewer days than Anthony performed. If Cindy gives Anthony y dollars of her advance payment so that they would have each received the same daily rate, what was Anthony paid in advance, in terms of y?
Choices:
4y
23/5y
6y
10y
Answer: B
Question: The product of two numbers is 2028 and their HCF is 13. What are the number of such pairs?
Choices:
2
5
23
25
Answer: A
Question: Vishal has 7 pairs of shoes; each pair is a different color. If Vishal randomly selects 2 shoes without replacement from the 14 shoes, what is the probability that she will select 2 shoes of the same color?
Choices:
1/15
1/13
1/10
1/25
Answer: B
Question: Find the area of a parallelogram with base 20 cm and height 16 cm?
Choices:
320 cm2
279 cm2
128 cm2
297 cm2
Answer: A
Question: five points lie on the circumference of a ellipse. What is the positive difference between the number of triangles and the number of quadrilaterals that can be created by connecting these points?
Choices:
15
6
5
20
Answer: C
Question: How many five letter combinations can be formed using the letters of the word CARTS?
Choices:
20
60
120
200
Answer: C
Question: If Carol invested Rs. 2955 at 84 to obtain an income of Rs. 180, calculate the dividend from Carol's stock.
Choices:
4.4
5.1
4
2
Answer: B
Question: Jar X is 1/5 full of water. Jar Y, which has half the capacity of Jar X, is 1/2 full of water. If the water in Jar Y is poured into Jar X, then Jar X will be filled to what fraction of its capacity?
Choices:
3/5
7/10
7/20
9/20
Answer: D
Question: If Rs. 64 amount to Rs. 83.20 in 2 years, what will Rs. 86 amount to in 4 years at the same rate percent per annum ?
Choices:
Rs. 86.70
Rs. 55.40
Rs. 51.60
None
Answer: C
Question: The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
167 m
245 metres
167 m
178 m
Answer: B
Question: Which of the following correctly lists the data sets in order of least to greatest standard deviation?
I. 8, 9, 10, 11, 12, 13
II. 12, 12, 12, 12, 12, 12
III. 47, 56, 58, 60, 64, 69
Choices:
II, I, III
III, I, II
II, III, I
III, II, I
Answer: A
Question: Find the number of shares that can be bought for Rs.8200 if the market value is Rs.20 each with brokerage being 3.2%.
Choices:
270
177
166
397.2
Answer: D
Question: Suresh started a business with Rs.20,000. Kiran joined him after 4 months with Rs.30,000. After 2 more months, Suresh withdrew Rs.5,000 of his capital and 2 more months later, Kiran brought in Rs.20,000 more. What should be the ratio in which they should share their profits at the end of the year?
Choices:
21:32
12:17
17:12
15:11
Answer: A
Question: If each participant of a chess tournament plays exactly one game with each of the remaining participants, then 276 games will be played during the tournament. Find the number of participants.
Choices:
22
24
26
28
Answer: B
Question: The overall age of X and Y is 19 year greater than the overall age of Y and Z. Z is how many decades younger that X?
Choices:
15
12
19
20
Answer: C
Question: When 5% is lost in grinding wheat, a country has to import 20 million bags; but when only 2% is lost, it has to import only 15 million bags. Find the quantity of wheat, which grows in the country?
Choices:
166 2/3
166 2/9
166 2/3
166 2/2
Answer: C
Question: A bag of potatoes weighs 36 lbs divided by half of its weight. How much does the bag of potatoes weight?
Choices:
30 lb
10 lb
15 lb
36 lb
Answer: D
Question: Last year, Company Z made q dollars in profit. Half of the profit went to the company’s founder. The rest was split evenly among his two other partners. In terms of q, how much did each of the other partners receive?
Choices:
q/4
q/6
q/7
q/8
Answer: A
Question: The speed of a boat in upstream is 100 kmph and the speed of the boat downstream is 120 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
35, 27 kmph
110, 10 kmph
45, 55 kmph
45, 65 kmph
Answer: B
Question: In a workshop there are 2 kinds of beds, 3 kinds of closets, 2 kinds of shelves and 7 kinds of chairs. In how many ways can a person decorate his room if he wants to buy in the workshop one shelf, one bed and one of the following: a chair or a closet?
Choices:
80.
56.
40.
16.
Answer: C
Question: When positive integer x is divided by positive integer y, the remainder is 12. If x/y = 75.12, what is the value of y?
Choices:
98
51
65
100
Answer: D
Question: A man bought an article and sold it at a gain of 5 %. If he had bought it at 5% less and sold it for Re 1 less, he would have made a profit of 10%. The C.P. of the article was
Choices:
Rs 150
Rs 200
Rs 250
None of these
Answer: B
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. 88 players took part in that tournament. How many matches were played?
Choices:
95 matches
99 matches
85 matches
87 matches
Answer: D
Question: The average weight of a group of 30 friends decreases by 1 kg when the weight of one of them was removed. If average weight of the group after removing the weight of this one person is 29 kg, what is the weight of their new friend ?
Choices:
60 kg
59 kg
62 kg
91 kg
Answer: B
Question: 1/0.025 is equal to
Choices:
2.5
40
.25
None of these
Answer: B
Question: In Orange County one fifth of the people are gathering mushrooms and one seventh of the people are collecting apples. What can be the number of people in Orange County?
Choices:
42.
85
140.
252.
Answer: C
Question: Amar takes as much time in running 12 meters as a car takes in covering 48 meters. What will be the distance covered by Amar during the time the car covers 1.6 km?
Choices:
200 m
300 m
400 m
100 m
Answer: C
Question: Set A consists of integers -9, 8, 3, 10, and J; Set B consists of integers -2, 5, 0, 7, -6, and Y. If R is the median of Set A and W is the mode of set B, and R^W is a factor of 34, what is the value of Y if J is negative?
Choices:
Y=0
1
2
5
Answer: A
Question: A boat having a length 7 m and breadth 2 m is floating on a lake. The boat sinks by 1cm when a man gets on it. The mass of the man is:
Choices:
140 kg
72 kg
96 kg
None of these
Answer: A
Question: The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
Choices:
4 years
6 years
5 years
1 years
Answer: A
Question: How many differently shaped triangles exist in which no two sides are of the same length, each side is of integral unit length and the perimeter of the triangle is less than 14 units?
Choices:
4
5
6
7
Answer: B
Question: A certain meter records voltage between 0 and 10 volts inclusive. If the average value of 3 recordings on the meter was 5 volts, what was the smallest possible recording in volts?
Choices:
3
4
5
6
Answer: A
Question: What is the difference between the compound interest on Rs.12000 at 26% p.a. for one year when compounded yearly and half yearly?
Choices:
383.8
120.8
202.8
233.8
Answer: C
Question: A is thrice as good a workman as B and therefore is able to finish a job in 80 days less than B. working together, they can do it in
Choices:
½ days
days
days
days
Answer: C
Question: One boy forgot the last digit of a 7digit telephone no. If he randomly dial the final 3digits after correctly dialing the 1st 4, then what is the chance of dialing the correct no.?
Choices:
2/890
1/1000
3/890
4/981
Answer: B
Question: On 4th Jan, 2009 Sunday falls. What day of the week was it on 4th Jan, 2008?
Choices:
Thursday
Friday
Saturday
Sunday
Answer: C
Question: A certain sum of money is divided among A, B and C such that A gets one-third of what B and C together get and B gets two-seventh of what A and C together get. If the amount received by A is $35 more than that received by B, find the total amount shared by A, B and C.
Choices:
$1250
$1260
$1270
$1280
Answer: B
Question: 2/[(1/0.03) + (1/0.37)] = ?
Choices:
0.05555
2.775
3.6036
36.036
Answer: A
Question: A car has been driven with an average speed of 30 kilometers per hour during the first 30 kilometers of a journey. Upon reaching the 30th kilometer, the car then travels at 45 kilometers per hour for the next 30 kilometers. Find out the average speed of the car if it has not been stopped at all during the journey.
Choices:
36
37.5
38
40
Answer: A
Question: The mall charges 40 cents for the first hour of parking and $3 for each additional hour until the customer reaches 4 hours, after that the parking fee is $2 per hour. If Mr.Park parked his car in the mall for 7 hours and 30 minutes, how much is he going to pay?
Choices:
$6.8
$13.
$14.5.
$15.
Answer: A
Question: The banker's gain of a certain sum due 2 years hence at 10% per annum is Rs.24. The present worth is
Choices:
Rs. 520
Rs. 600
Rs. 960
None
Answer: B
Question: Rohit spent 50 percent of his earning last month on rent and 30 percent less than what he spent on rent to purchase a new dishwasher. What percent of last month's earning did John have left over?
Choices:
15%
35%
55%
20%
Answer: A
Question: If after 200 grams of water were added to the 30%-solution of alcohol, the strength of the solution decreased by one-third, how much of the 30%-solution was used?
Choices:
100 grams
250 grams
350 grams
400 grams
Answer: A
Question: There are 8 letters and corresponding 8 envelopes. If 8 letters are placed into 8 envelopes randomly, find the number of ways that exactly one letter is placed into wrong envelope.
Choices:
0
2
3
4
Answer: A
Question: With a uniform speed a car covers the distance in 8 hours. Had the speed been increased by 4 km/hr, the same distance could have been covered in 7 1/2 hours. What is the distance covered?
Choices:
480 km
278 km
297 km
671 km
Answer: A
Question: In a city, the streets are aligned in a grid, where the east-west roads are called 1st Rd, 2nd Rd, 3rd Rd, etc, increasing in number as one moves northward. The north-south roads are called 1st Ave, 2nd Ave, 3rd Ave, etc, increasing in number as one moves eastward. If Bill needs to walk from the corner of 2nd Rd and 3rd Ave to the corner of 6th Rd and 9th Ave in the shortest possible time, how many different routes could he take?
Choices:
120
150
180
210
Answer: D
Question: A can do a half of certain work in 70 days and B one third of the same in 35 days. They together will do the whole work in.
Choices:
60 days
79 days
70 days
65 days
Answer: A
Question: If m is an integer such that (-2)^2m=2^(15-m) then m=?
Choices:
3
4
5
6
Answer: C
Question: Two numbers A and B are such that the sum of 5% of A and 3% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.
Choices:
1 : 2
7 : 3
1 : 1
3 : 2
Answer: B
Question: All numbers from 1 to 150 (in decimal system) are written in base 6 notation. How many of these will contain zero's?
Choices:
20
35
45
55
Answer: C
Question: Malar and Roja combined will complete a task in 35 days, but Malar alone can complete same work in 60 days. Calculate in how many days Roja can complete this work ?
Choices:
45 days
90 days
84 days
95 days
Answer: C
Question: The value of (9x10^8)(5x10^9) is closest to which of the following?
Choices:
10^19
10^16
10^14
10^12
Answer: A
Question: A certain company charges $6 per package to ship packages weighing less than 2 pounds each. For a package weighing 2 pounds or more, the company charges an initial fee of $6 plus $2 per pound. If the company charged $36 to ship a certain package, which of the following was the weight of the package, in pounds?
Choices:
15
19
21
23
Answer: A
Question: If x is a positive, single-digit integer such that 4/3*x, 2x, x, and x + 2, and 5x – 2 form a non-ordered list of consecutive integers, which of the following could be the median of that list?
Choices:
4
5
6
8
Answer: B
Question: If abcd represents a positive four-digit number, where a, b, c and d are one-digit integers, which of the following CANNOT be true?
Choices:
abcd = 9
a – b - c - d = 9
b – a - c - d = 9
a/b/c/d = 9
Answer: C
Question: The distance light travels in one year is approximately 5,870,000,000,000 miles. The distance light travels in 100 years is:
Choices:
587 × 1010 miles
587 × 10-10 miles
587 × 1012 miles
587 × 10-12 miles
Answer: C
Question: The sum of ages of 5 children born at theintervals of 3 years each is 50 years. what is the age of the youngest child?
Choices:
4
9
8
10
Answer: A
Question: The distance between two villages P and Q is 330 Km. A train starts from P at 8 a.m. and travel towards Q at 60 km/hr. Another train starts from Q at 9 a.m and travels towards P at 75 Km/hr. At what time do they meet?
Choices:
11 am
9 am
12 pm
11.30 am
Answer: A
Question: A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained?
Choices:
9:1
9:4
9:2
9:6
Answer: A
Question: Round trip time of 110 meters in a river is 16 min. the velocity of stream is 3m/min. what is the velocity of the person in the still water?
Choices:
7
8
9
10
Answer: B
Question: In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 800 m?
Choices:
170 m.
122.2 m
222.9 m
12289 m
Answer: A
Question: If there is an equal probability of a child being born a boy or a girl, what is the probability that a couple who have 4 children have two children of the same sex and one of the opposite sex?
Choices:
2/3
1/4
1/2
3/5
Answer: C
Question: A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
Choices:
16 sec
77 sec
55 sec
17 sec
Answer: A
Question: Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.80. How much was lent at 5%?
Choices:
666
878
1000
1277
Answer: C
Question: If 9a - b = 10b + 70 = -12b - 2a, what is the value of 2a + 22b?
Choices:
-70
0
2
4
Answer: A
Question: The difference between the compound interest compounded annually and simple interest for 2 years at 20% per annum is Rs.144. Find the principal?
Choices:
3291
3600
2997
2983
Answer: B
Question: If the cost price is 25% of selling price. Then what is the profit percent.
Choices:
200%
300%
350%
None of these
Answer: B
Question: Of the 320 people attending a conference, 180 have signed up for the Marketing workshop and 250 have signed up for the Accounting workshop. If 40 of the people attending did not sign up for either workshop, then the number of people who signed up for both the Marketing and the Accounting workshops is:
Choices:
125
130
150
175
Answer: C
Question: Varma can read a book in m minutes. What part of the book can he read in 7 minutes?(m>7)
Choices:
k/8
8 + k
k-8
7/m
Answer: D
Question: If positive integer k is divided by 12, the quotient is m and the remainder is 2, then which of the following must be true?
I. k + m is even
II. k cannot be a prime number
III. k is divisible by 4
Choices:
None
II
III
I and II only
Answer: A
Question: If a class of 10 students has six men, how many ways can the men and women be arranged in a circle so that no two men sit next to each other?
Choices:
6!5!
4!4!
10!
10!/5!
Answer: A
Question: Find the remainder when 4*4! + 5*5! + 6*6! +...................+ 19*19! is divided by 64.
Choices:
27
40
28
11
Answer: B
Question: G is the set of the first n positive odd numbers, where n is a positive integer. Given that n > k, where k is also a positive integer, x is the maximum value of the sum of k distinct members of G, and y is the minimum value of the sum of k distinct members of G, what is x + y?
Choices:
kn + k^2
kn + 2k^2
2kn – k^2
2kn
Answer: D
Question: A worker is paid Rs.20/- for a full days work. He works 1,1/3,2/3,1/8.3/4 days in a week. What is the total amount paid for that worker ?
Choices:
58.5 rupees
57.5 rupees
59.5 rupees
55.5 rupees
Answer: B
Question: In how many years will a sum of money doubles itself at 5% per annum on simple interest?
Choices:
20%
28%
90%
30%
Answer: A
Question: There are 15 stations between Hyderabad and Bangalore. How many second class tickets have to be printed, so that a passenger can travel from any station to any other station?
Choices:
267
261
211
272
Answer: D
Question: A person spent Rs. 8,596 from his salary on food and ?7,640 on house rent. After that he was left with 28% of his monthly salary. What is his monthly salary ?
Choices:
Rs. 22,500
Rs. 22,550
Rs. 23,550
None of these
Answer: B
Question: The average age of 35 students in a class is 16 years. The average age of 21 students is 14. What is the average age of remaining 2 students?
Choices:
133 years
119 years
212 years
None
Answer: A
Question: The ratio of radius of a circle and the side of a square is 2 : 11. Find the ratio of their areas:
Choices:
4 : 7
8 : 77
4 : 121
None
Answer: C
Question: A big container is 35% full with water. If 48 liters of water is added, the container becomes 3/4 full. What is the capacity of the big container in liters?
Choices:
90
100
110
120
Answer: D
Question: If m = 3^n, what is the greatest value of n for which m is a factor of 16!
Choices:
10
6
14
16
Answer: B
Question: At a certain committee meeting only associate professors and assistant professors are present. Each associate professor has brought 2 pencils and 1 chart to the meeting, while each assistant professor has brought 1 pencil and 2 charts. If a total of 10 pencils and 5 charts have been brought to the meeting, how many people are present?
Choices:
5
8
9
10
Answer: A
Question: A train covers a distance of 12 km in 10 min. If it takes 15 sec to pass a telegraph post, then the length of the train is?
Choices:
300
120
400
150
Answer: A
Question: If you add all the numbers on your mobile phone except 9, what is the answer?
Choices:
28
65
36
42
Answer: C
Question: If x^2 = 191, which of the following is closest to a potential value of x?
Choices:
-11
12
14
131
Answer: C
Question: There are 21 balls in a jar. You take out 3 red balls without putting them back inside, and now the probability of pulling out a red ball is 1/3. How many blue balls were there in the beginning?
Choices:
9.
8.
7.
6.
Answer: A
Question: If the arithmetic mean of p and q is 10 and the arithmetic mean of q and r is 25, what is the value of r-p?
Choices:
10
30
40
5
Answer: B
Question: If Sn is the sum of the first n terms of a certain sequence and if Sn = n(n+7) for all positive integers n, what is the third term of the sequence?
Choices:
4
6
8
12
Answer: D
Question: P can complete a piece of work in 18 days & B can do the same piece of work in 15 days. They started working together but after 3 days P left & Q alone completed the remaining work. The whole work was completed in how many days?
Choices:
12.5 days
13 days
14.5 days
15 days
Answer: A
Question: A can work three times as fast as B. Together they can finish a job in 12 days. In how many days can A complete the job alone?
Choices:
16
18
20
22
Answer: A
Question: A trader sells 66 meters of cloth for Rs. 660 at the profit of Rs. 5 per metre of cloth. What is the cost price of one metre of cloth?
Choices:
88
90
42
5
Answer: D
Question: The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?
Choices:
270
279
387
317
Answer: A
Question: Rs.385 were divided among X,Y,Z in such a way that X had Rs.20 more than Y and Z had Rs 15 more than X . How much was Y’s share?
Choices:
Rs.145
Rs.150
Rs.152
Rs.155
Answer: A
Question: The population of a town is 10000. It increases annually at the rate of 20% p.a. What will be its population after 3 years?
Choices:
17350
17280
17500
17600
Answer: B
Question: How many words can be formed by using all letters of the word 'FOUR' ?
Choices:
24
36
44
21
Answer: A
Question: A sum of money invested for a certain number of years at 8% p.a. simple interest grows to Rs.180. The same sum of money invested for the same number of years at 4% p.a. simple interest grows to Rs.120 only. For how many years was the sum invested?
Choices:
25 years
36
29
21
Answer: A
Question: If A can do 1/4 of a work in 3 days and B can do 1/6 of the same work in 4 days, how much will A get if both work together and are paid Rs. 180 in all?
Choices:
Rs. 60
Rs. 108
Rs. 120
None of these
Answer: C
Question: A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is ?
Choices:
285
271
187
199
Answer: A
Question: In how many ways Chief Minister and Minister be elected from a team of 15 members?
Choices:
131
132
210
220
Answer: C
Question: what is 66.67% of 804 ?
Choices:
536
627
300.87
567.67
Answer: A
Question: An electric motor makes 1,400 revolutions per minutes. How many degrees does it rotate in one second?
Choices:
8.400 d/sec
38.000 d/sec
26.000 d/sec
35.000 d/sec
Answer: A
Question: 10 students are to be seated in two rows equally for the Mock test in a room. There are two sets of papers, Code A and Code B. each of two rows can have only one set of paper but different that from other row. In how many ways these students can be arranged ?
Choices:
125600
7257600
1200560
None of these
Answer: B
Question: At a supermarket, John spent 1/5 of his money on fresh fruits and vegetables, 1/3 on meat products, and 1/10 on bakery products. If he spent the remaining $11 on candy, how much did John spend at the supermarket?
Choices:
$30
$50
$90
$110
Answer: A
Question: A student scored an average of 65 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:
165
76
125
26
Answer: C
Question: A flagstaff 17.5 m high casts a shadow of length 40.25 m. The height of the building, which casts a shadow of length 28.75 m under similar conditions will be:
Choices:
12.5 m
17.5 m
21.25 m
None
Answer: A
Question: An amount of money is to be divided between P, Q and R in the ratio of 3:7:12. If the difference between the shares of P and Q is Rs.3600, what will be the difference between Q and R's share?
Choices:
4500
7282
2782
2729
Answer: A
Question: In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 600 m?
Choices:
127.5
127.9
127.3
127.1
Answer: A
Question: Write 850,000,000,000 in scientific notation.
Choices:
8.5 * 10^11
8.900 * 10^11
80.9000* 10^11
08.900 * 10^11
Answer: A
Question: Two persons A and B take a field on rent. A puts on it 21 horses for 3 months and 15 cows for 2 months; B puts 15 cows for 6months and 40 sheep for 7 1/2 months. If one day, 3 horses eat as much as 5 cows and 6 cows as much as 10 sheep, what part of the rent should A pay?
Choices:
1/3
1/6
1/8
1/1
Answer: A
Question: If m and n are positive integers and m^2 + n^2 = 10, what is the value of m^3 + n^3?
Choices:
28
320
512
1,600
Answer: A
Question: If the mode of Set Z is equal to the median of Set Z, Set Z could be
Choices:
[2, 2, 5, 7, 9]
[x, x+1, x+2, x+2, x+3, x+3]
[10, 102, 105, 105]
[4, 7, 10, 11, 25/2, 13, 13, 17, 29, 51, 51, 51]
Answer: B
Question: Mary needs some meat from the butchers shop a meter away from her house.
Each step Mary takes is 20 centimeters.
How many minutes will it take if each step lasts a minute ?
Choices:
50
30
1
2
Answer: A
Question: An express traveled at an average speed of 100 km/hr, stopping for 3 min after every 75 kn. How long did it take to reach its destination 600 km from the starting point?
Choices:
6 hrs 21 min
6 hrs 81 min
6 hrs 41 min
3 hrs 21 min
Answer: A
Question: If A is thrice as fast as B and together can do a work in 30 days. In how many days A alone can do the work?
Choices:
42
28
54
40
Answer: D
Question: Pastry Chef Pierre takes x hours to decorate a wedding cake. Pastry chef Franco takes y hours to decorate a wedding cake. If Pierre works alone for z hours and is then joined by Franco until 20 cakes are decorated, for how long did the two pastry chef's work together.
Choices:
20xz-y/(x+y)
20x(y-z)/(x+y)
20xy-z/(x+y)
y(20x-z)/(x+y)
Answer: A
Question: A number when divided by 342 gives a remainder 47.When the same
number is divided by 19 what would be the remainder?
Choices:
9
19
29
18
Answer: A
Question: Of the three- digit integers greater than 700, how many have two digits R that are equal to each other and the remaining digit different from the other two?
Choices:
82
80
45
36
Answer: B
Question: In a two-digit number, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is:
Choices:
24
25
27
30
Answer: A
Question: In a question on division with zero remainder, a candidate took 12 as divisor instead of 20. The quotient obtained by him was 25. The correct quotient is?
Choices:
A)15
C)28
D)29
E)30
Answer: A
Question: If A and B are in the ratio 3:4, and B and C in the ratio 12:13, then A and C will be in the ratio
Choices:
9:13
36:13
13:9
none
Answer: A
Question: A man rows his boat 80 km downstream and 38 km upstream, taking 3 hours each time. Find the speed of the stream?
Choices:
9
7
8
2
Answer: A
Question: What is the absolute value of twice the difference of the roots of the equation F=5y^2 − 20y + 15 = 0 ?
Choices:
1
2
3
4
Answer: D
Question: Five bells begin to toll together at 12:00 noon and toll respectively at intervals of 4, 5, 6, 7, and 8 seconds. Not including the toll at 12:00 noon, how many more times will all five bells toll together before 2:00 pm (i.e. two hours later)?
Choices:
7
8
9
10
Answer: B
Question: Before a salary increase, the weekly salary of a worker for 45 hours in a week was as much as the worker is paid now for 40 hours of work in a week. What is the percent increase in the worker's salary per hour?
Choices:
7.5
8
10
12.5
Answer: D
Question: If the domain of function f given by f(x) = -x 2 + 6x is given by the interval [0 , 6], then the range of f is given by the interval
Choices:
[0 , 6]
[0 , 3]
[3 , 6]
None
Answer: A
Question: In a contest, there are 9 identical boxes: in 7 boxes there are a $50 bill into each box, and in 2 boxes there are a $100 bill into each one. To win and get the money picked, you have to choose two boxes that contain different bills. What is the probability to win?
Choices:
1/9
49/1296
7/36
7/18
Answer: D
Question: A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
Choices:
17 seconds
40 seconds
16 seconds
14 seconds
Answer: B
Question: A train 160 m long running at 72 kmph crosses a platform in 25 sec. What is the length of the platform?
Choices:
354 m
340 m
350 m
250 m
Answer: B
Question: If p and q are prime numbers, how many divisors does the product p^3 * q^6 have?
Choices:
12
18
28
36
Answer: C
Question: in a certain flower shop, which stocks four types of flowers, there are 1/2 as many violets as carnations, and 1/2 as many tulips as violets. If there are equal numbers of roses and tulips, what percent of the flowers in the shop are carnations?
Choices:
50
60
45
40
Answer: A
Question: The ratio of males and females in a city is 7 : 8 and the percentage of children among males and females is 25% and 20% respectively. If the number of adult females in the city is 156800 what is the total population?
Choices:
367500
196000
171500
None of these
Answer: A
Question: Sam purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?
Choices:
4.5
5.6
6.5
7.5
Answer: B
Question: Find large number from below question The difference of two numbers is 1395. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Choices:
1265
1350
1467
1671
Answer: D
Question: A container has a capacity of 20 gallons and is full of spirit. 5 gallons of spirit is drawn out and the container is again filled with water. This process is repeated 5 times. Find how much spirit is left in the resulting mixture finally?
Choices:
1.5552 gallons
1.5 gallons
1.25 gallons
None of these
Answer: A
Question: A 6% stock yields 8%. The market value of the stock is:
Choices:
Rs. 75
Rs. 96
Rs. 133.33
none
Answer: A
Question: W, X, Y, Z are integers. The expression X - Y - Z is even and the expression Y - Z - W is odd. If X is even what must be true?
Choices:
W
E
H
R
Answer: A
Question: A train 130 meters long completely crosses a 320-meter long bridge in 30 seconds. What is the speed of the train in km/h?
Choices:
46 km/h
50 km/h
54 km/h
58 km/h
Answer: C
Question: The simple form of the ratio 7/6:3/2 is?
Choices:
7:9
5:9
5:3
5:1
Answer: A
Question: To be eligible for retirement benefits at the Norman Corporation, the sum of an employee's age, in years, and the number of years employment must be at least 68. If x, where x <68, is a certain employee's age when hired and y is the minimum number of years of employment required for the employee to be eligible for retirement benefits, which of the following equations represents the relationship between x and y?
Choices:
x+y=68
2x+y=68
2x+2y=68
x+2y=68
Answer: D
Question: A pupil's marks were wrongly entered as 35 instead of 23. Due to that the average marks for the class got increased by half. The number of pupils in the class is :
Choices:
80
20
25
24
Answer: D
Question: In how many ways 6 Indians and 1 Englishmen can be seated in a row so that they are alternate?
Choices:
265
144
720
256
Answer: C
Question: A family has two children. find the probability that both the children are girls given that at least
one of them is a girl?
Choices:
1/3
4/9
4/11
5/7
Answer: A
Question: A man buys two cycles for 1200 each, he sells first cycle at a loss of 20% ,if he desires to get a profit of 15% on whole for how much should he sell his 2nd cycle?
Choices:
1700
1800
1900
1950
Answer: B
Question: 7^1+7^2+7^3+...........+7^2015 find out how many numbers present which unit place contain 3 ?
Choices:
503
504
505
506
Answer: B
Question: There is enough provisions for 600 men in an army camp for 25 days. If there were 300 men less, how long will the provision last?
Choices:
40 days
45 days
50 days
55 days
Answer: C
Question: In three years, Janice will be three times as old as her daughter. Six years ago, her age was her daughter’s age squared. What would be the age of Janice Daughter after 3 years
Choices:
18
40
42
45
Answer: A
Question: Given that x and y are nonnegative integers, compute the number of pairs (x; y) such that
5x + y = 20.
Choices:
5
10
15
20
Answer: A
Question: If the speed of the boat in still water is 12km/hr and the speed of the stream is 5km/hr. Find the time taken to travel 34kms down stream.
Choices:
1 hrs.
3 hrs.
2 hrs.
5 hrs.
Answer: C
Question: The sum of 5 hours 45 minutes and 55 minutes is approximately what percent of a day?
Choices:
approx 27%
24%
approx 18%
approx 72%
Answer: A
Question: Before being simplified, the instructions for computing income tax in country R were to add 5 percent of one's annual income to the average(arithmetic mean) of 100 units of Country R's currency and 1 percent of one's annual income. Which of the following represents the simplified formula for computing the income tax, in country R's currency, for a person in that country whose annual income is I?
Choices:
50 + 3I/100
50+ 11I/200
100+ I/50
100+ 3I/100
Answer: B
Question: sale of Rs 6835, Rs. 9927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs, 6500 ?
Choices:
4966
2877
2676
1881
Answer: A
Question: The area of a rectangle is 460 square metres. If the length is 15% more than the breadth, what is the breadth of the rectangular field ?
Choices:
20 meter
22 meter
25 meter
30 meter
Answer: A
Question: A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 30 hrs and a machine of type S does the same job in 15 hours. If the company used the same number of each type of machine to do the job in 2 hours, how many machines of type R were used?
Choices:
B)4
C)5
D)9
E)12
Answer: B
Question: x percent of y percent of z is decreased by y percent What is the result?
Choices:
(100xyz - xy^z2) / 1,000,000
(xz - y) / 10,000
(xyz - 2y) / 100
(xyz - 2y) / 10,000
Answer: A
Question: How much time will take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
Choices:
4
5
3
2
Answer: A
Question: Working individually, Jane can bake cakes for 4 hours and Roy can bake cakes in 5 hours. If Jane and Roy work together but independently at the task for 2 hours, at which point Roy leaves, how many remaining hours will it take Jane to complete the task alone?
Choices:
2/5
3/4
1/4
1/5
Answer: A
Question: Two bus stations are 600 km apart. if two separate buses depart from both stations and travel towards each other, at what time will they meet each other, given that the first bus left at 12 p.m. and travels at a speed of 60 kmph while the second bus left at 1 p.m. and travels at a speed of 40 kmph.
Choices:
8.40 p.m.
5.40 p.m.
7.40 p.m.
6.40 p.m.
Answer: D
Question: A Caterpillar crawls a distance with speed of 21inches/min in the one direction and after feeding moves back in the same direction with 7inches/min and what is the average speed of it?
Choices:
10.5 inch/ min
12.5 inch/ min
13.5 inch/ min
14.5 inch/ min
Answer: A
Question: The remainder obtained when a prime number greater than 8 is divided by 8 is
Choices:
b) 1 or 5
c) 3 or 5
d) 4 or 5
e) 5
Answer: B
Question: After working for 6 days, Ashok finds that only 1/3 rd of the work has been done. He employs Ravi who is 60% as efficient as Ashok. How many days more would Ravi take to complete the work?
Choices:
20 days
27 days
21 days
26 days
Answer: A
Question: 70,76, 74,85,90,105,105,130,130,130
The list consists of the times in seconds that it took each of the 10 school children to run a distance of 400 mts . If the standard deviation of the 10 running times is 22.4, rounded to the nearest tenth of a second, how many of the 10 running times are more than 1 standard deviation below the mean of the 10 running times.
Choices:
2
3
4
5
Answer: B
Question: A student is ranked 6th from right and 5th from left. How many students are there in totality ?
Choices:
10
20
21
22
Answer: A
Question: The diagonals of a rhombus are 17 cm and 20 cm. Find its area?
Choices:
186
150
170
172
Answer: C
Question: (1^3 + 2^3 + 3^3 + ... + 10^3) = x?
Choices:
380
420
440
450
Answer: B
Question: Caleb spends $68.50 on 50 hamburgers for the marching band. If single burgers cost $1.00 each and double burgers cost $1.50 each, how many double burgers did he buy?
Choices:
10
37
40
45
Answer: B
Question: A train passes a station platform in 30 sec and a man standing on the platform in 12 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Choices:
240
200
178
270
Answer: D
Question: A certain list of 100 data has an average (arithmetic mean) of 5 and a standard deviation of d, where d is positive. Which of the following pairs of data, when added to the list, must result in a list of 100 data with standard deviation less than d?
Choices:
0 and 0
0 and 5
0 and 10
5 and 5
Answer: D
Question: how many five digit numbers are there such that two left most digits are even and remaining are odd and 4 digit should not be repeated.
Choices:
960
970
980
990
Answer: A
Question: In a chess competition involving some men and women, every player needs to play exactly one game with every other player. It was found that in 45 games, both the players were women and in 190 games, both players were men. What is the number of games in which one person was a man and other person was a woman?
Choices:
120
180
200
220
Answer: C
Question: How many numbers between 200 and 700 begin or end with 5?
Choices:
60
140
110
120
Answer: B
Question: If a(a - 5) = 6 and b(b -5) = 6 where a ≠ b, then a + b =
Choices:
−2
2
9
5
Answer: D
Question: A new home buyer pays 4% annual interest on her first mortgage and 9% annual interest on her second mortgage. If she borrowed a total of $340,000, 80% of which was in the first mortgage, what is her approximate monthly interest payment?
Choices:
$1,416
$3,466
$13,333
$20,796
Answer: A
Question: Gasoline varies in cost from $0.93 to $1.13 per gallon. If a car’s mileage varies from 16 to 24 miles per gallon, what is the difference between the most and least that the gasoline for a 480-mile trip will cost?
Choices:
$15.30
$15.72
$16.01
$16.23
Answer: A
Question: Ramesh purchased a refrigerator for Rs. 14500 after getting a discount of 20% on the labelled price. He spent Rs. 125 on transport and Rs. 250 on installation. At what price should it be sold so that the profit earned would be 10% if no discount was offered?
Choices:
26888
20350
17600
12778
Answer: B
Question: A man starts walking at 3 pm . ha walks at a speed of 4 km/hr on level ground and at a speed of 3 km/hr on uphill , 6 km/hr downhill and then 4 km/hr on level ground to reach home at 9 pm. What is the distance covered on one way
Choices:
12km
14km
16km
18km
Answer: A
Question: If 3 people a,b,c can do a work simultaneously in 6 days. a and b can do work in 10 days. b and c can do work in 15 days. c and a can do the same work in 20 days.In how many days that a can complete the same work alone?
Choices:
25
30
24
19
Answer: C
Question: How many prime numbers exist between 200 and 220?
Choices:
1
2
3
4
Answer: A
Question: An airline passenger is planning a trip that involves three connecting flights that leave from airports A, B and C, respectively. The First flight leaves Airport A every Hour, beginning at 8:00 a.m., and arrives at Airport B 2nd a half hours later. The second flight leaves Airport B every 20minutes, beginning at 8:00a.m, and arrives at Airport C 1h 10 minutes later. The third flight leaves Airport C every hour, beginning at 8.45 a.m. What is the least total amount of time the passenger must spend between flights if all flights keep to their schedules?
Choices:
1hr 5min
1hr 15min
2hr 20min
3hr 40min
Answer: A
Question: Divide Rs.118000 among three persons A, B and C such that the ratio of the shares of A and B is 3:4 and that of B:C is 5:6?
Choices:
A = 30000 B = 40000 C = 48000
A = 30000 B = 40070 C = 48000
A = 30000 B = 40000 C = 48300
A = 30200 B = 40000 C = 48000
Answer: A
Question: If 0 < x ≤ 2, then which one of the following is the maximum value of (x – 1)^2 + x ?
Choices:
–1
0
2
3
Answer: C
Question: Find the odd man out
2, 5, 14, 41, 122, 365, 1125
Choices:
14
41
365
1125
Answer: D
Question: A and B started business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?
Choices:
Rs.7500
Rs.7529
Rs.7596
Rs.7506
Answer: A
Question: How much time will it take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
Choices:
4 years
7 years
6 years
2 years
Answer: A
Question: You add x ml of a 25% alcohol solution to a 200 ml of a 10% alcohol solution to obtain another solution. Find the amount of alcohol in the final solution in terms of x. Find the ratio, in terms of x, of the alcohol in the final solution to the total amount of the solution. What do you think will happen if x is very large? Find x so that the final solution has a percentage of 15%.
Choices:
100 ml
300 ml
400 ml
500 ml
Answer: A
Question: Find the third proportional to 2 and 10?
Choices:
12
16
19
50
Answer: D
Question: John has 10 pairs of matched socks. If he loses 3 individual socks, what is the greatest number of pairs of matched socks he can have left?
Choices:
8
5
4
3
Answer: A
Question: 16384, 8192, 2048, 256, 16, ?
Choices:
9.0
0.5
1.0
2.0
Answer: B
Question: An advertising agency finds that, of its 170 clients, 115 use Television, 110 use Radio and 130 use Magazines. Also, 85 use Television and Magazines, 75 use Television and Radio, 95 use Radio and Magazines. How many use all the three?
Choices:
70
90
98
95
Answer: A
Question: The average height of 50 pupils in a class is 150 cm. Five of them whose height is 146 cm, leave the class and five others whose average height is 156 cm, join. The new average height of the pupils of the class (in cm) is?
Choices:
151 cm
627 cm
282 cm
636 cm
Answer: A
Question: A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
Choices:
67 sec
98 sec
36 sec
23 sec
Answer: B
Question: If p is an odd integer and q is an even integer, which of the following must be an odd integer?
Choices:
3(2p-q)
p^2+q^2
p+q+3
5p-2q+1
Answer: B
Question: Suresh borrowed some money at the rate of 6% p.a. for the first three years, 9% p.a. for the next five years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of 11 years is Rs.8160, how much money did he borrow?
Choices:
Rs.6000
Rs.8000
Rs.9000
Rs.7000
Answer: B
Question: If xy not equal 0 and x^2*y^2 -xy = 12, which of the following could be y in terms of x?
I. 1/2x
II. -4/x
III. 3/x
Choices:
II and III
III
IV
I &II
Answer: A
Question: A reduction of 20% in the price of salt enables a lady to obtain 10kgs more for Rs.300, find the original price per kg?
Choices:
s.7.4
s.7.5
s.7.1
s.7.9
Answer: B
Question: One side of a rectangle is 3 cm shorter than the other side. If we increase the length of each side by 1 cm, then the area of the rectangle will increase by 18 cm2. Find the lengths of all sides.
Choices:
56
6
7
9
Answer: D
Question: A bottle is 80% full. The liquid in the bottle consists of 60% guava juice and 40% pineapple juice. The remainder of the bottle is then filled with 70 lm of rum. How much guava is in the bottle?
Choices:
158 ml
165 ml
168 ml
175 ml
Answer: B
Question: The cost of 16 pens and 8 pencils is Rs.352 and the cost of 4 pens and 4 pencils is Rs.96. Find the cost of each pen?
Choices:
88
66
88
20
Answer: D
Question: Which of the following will divide evenly into 607,406,520?
Choices:
21
11
3
none of these
Answer: C
Question: Find the mode of the given set of number
2, 2, 3, 5, 4, 3, 2, 3, 3, 5
Choices:
2
3
4
5
Answer: B
Question: The cash difference between the selling prices of an article at a profit of 4% and 8% is Rs. 3. The ratio of the two selling prices is?
Choices:
52:53
52:54
22:56
52:51
Answer: B
Question: What is the unit’s digit of 7^7
Choices:
5
3
7
1
Answer: B
Question: Ravi and sunil are partners in a business. Ravi invests Rs.15,000 for 8 months and Sunil invested Rs.8000 for 10 months then after one year ratio of their profits will be
Choices:
2:3
3:2
3:1
3:4
Answer: B
Question: Three walls have wallpaper covering a combined area of 280 square meters. By overlapping the wallpaper to cover a wall with an area of 180 square meters, the area that is covered by exactly two layers of wallpaper is 36 square meters. What is the area that is covered with three layers of wallpaper?
Choices:
32 Square Meters
42 Square Meters
83.3 Square Meters
120 Square Meters
Answer: A
Question: Which number should replace both the asterisks in (* /20) x (*/180) = 1 ?
Choices:
40
60
90
120
Answer: B
Question: A rectangular field has to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required?
Choices:
88 Feet
77 Feet
99 Feet
55 Feet
Answer: A
Question: Which of the following equations represents a line that is perpendicular to y=1/2*x+1?
Choices:
y−2x=8
3y+6x=12
4y−8x=16
5x−10y=20
Answer: A
Question: Find the circumference and area of radius 6 cm.
Choices:
113 cm²
154 cm²
184 cm²
194 cm²
Answer: A
Question: How many cubes of 4 cm edge can be put in a cubical box of 1 m edge.
Choices:
15625 cm
12786 cm
12617 cm
12187 cm
Answer: A