antoine-444/aqua_rat_dataset huggingface dataset:
Question: Jackson has $313,194 dollars in his investment accounts. What is the least amount of money (in whole number of dollars) that he must remove from his account if he wants to split this money evenly among nine new investors?
Choices:
$2
$3
$4
$5
Answer: B
Question: A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:
Choices:
Rs. 690
Rs. 698
Rs. 700
Rs. 718
Answer: B
Question: A and B can finish a work in 12 days while A alone can do the same work in 24 days. In how many days B alone will complete the work?
Choices:
48 days
98 days
31 days
24 days
Answer: D
Question: A garrison of 2000 men has provisions for 54 days. At the end of 15 days, a reinforcement arrives, and it is now found that the provisions will last only for 20 days more. What is the reinforcement?
Choices:
1682
9178
1900
1782
Answer: C
Question: An amount of Rs. 100000 is invested in two types of shares. The first yields an interest of 9% p.a and the second, 11% p.a. If the total interest at the end of one year is 9 1/4 %, then the amount invested at 11% was?
Choices:
12500
29977
26777
19871
Answer: A
Question: A WORKS TWICE AS FAST AS B. IF B CAN COMPLETE A WORK IN 8 DAYS INDEPENDENTLY, THE NUMBER OF DAYS IN WHICH A AND B CAN TOGETHER FINISH THE WORK IS:
Choices:
8/3 DAYS
1/4 DAYS
4/1 DAYS
NONE OF THESE
Answer: A
Question: Natasha carries a paintbrush of length 1 and walks around the perimeter of a regular 2016-gon
with side length 1, painting all of the area outside the polygon that she can reach. What is the
area that Natasha paints?
Choices:
2015+π
2016+π
2013+π
2012+π
Answer: B
Question: When a 160 meters long rod is cut down into small pieces of length 3.2 meters each. Then how many pieces are available ?
Choices:
50
62
67
69
Answer: A
Question: A man swims downstream 30 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water?
Choices:
8
9
1
3
Answer: A
Question: In a room there are 7 people. Each person shook hands with every other person. How many hand shakes were there?
Choices:
20
21
22
23
Answer: B
Question: Jaclyn buys $30 000 worth of debentures in a company. She earns 9.5% p.a. simple interest, paid to her quarterly (that is, every 3 months). If the agreed period of the debenture was 18 months: calculate the amount of interest Jaclyn will earn for each quarter
Choices:
712.5
1289
1345
None of these
Answer: A
Question: Four staff members at a certain company worked on a project. The amounts of time that the four staff members worked on the project were in the ratio 2 to 3 to 5 to 6. If one of the four staff members worked on the project for 180 hours, which of the following CANNOT be the total number of hours that the four staff members worked on the project?
Choices:
960
576
192
480
Answer: C
Question: If the 1st of the month occurs on a Monday, on which day of the week does the 19th occur?
Choices:
Friday
Sunday
Monday
Tuesday
Answer: A
Question: A alone would take 8 days more to complete the job than if both A and B would together. If B worked alone, he took 4 1⁄2 days more to complete the job than A and B worked together. What time would they take if both A and B worked together?
Choices:
5 days
4 days
6 days
None of these
Answer: C
Question: In a T.V. factory, an average of 66 TVs are produced per day for the fist 25days of the months. A few workers fellill for the next five daysreducing the daily avg for the month to58 sets/day . The average production per day for day last 5days is ?
Choices:
18
48
50
52
Answer: A
Question: Suppose f(x) is an odd function for which f(x + 2) = f(x) for all x, and
f(x) = x2 for x 2 (0, 1). Compute f(-3/2) + f(1).
Choices:
-1/2
-1/4
1/4
1/2
Answer: C
Question: If W is a negative integer and K is a positive integer, which of the following could be the standard deviation of a set {-7, -5, -3, W, 0, 1, 3, K, 7}?
I. -1.5
II. -2
III. 0
Choices:
II only
III only
I and III only
None
Answer: D
Question: If you roll one fair six-sided die, what is the probability that the number is even or greater than 2?
Choices:
2/3
4/5
5/6
7/12
Answer: C
Question: The speed of a railway engine is 96 Km per hour when no compartment is attached, and the reduction in speed is directly proportional to the square root of the number of compartments attached. If the speed of the train carried by this engine is 24 Km per hour when 9 compartments are attached, the maximum number of compartments that can be carried by the engine is:
Choices:
18
16
17
14
Answer: B
Question: Tough and Tricky questions: Work/Rate Problems.
If it takes 80 workers 3 hours to disassemble the exhibition rides at a small amusement park, how many hours would it take 30 workers to do this same job?
Choices:
11
7
8
9/7
Answer: C
Question: There are r members in a certain department, including Michael. Two representatives are to be selected to attend a company conference. If there are 55 possible combinations in which Michael is not selected, what is the value of r?
Choices:
12
15
18
22
Answer: A
Question: 8 persons can build a wall 140m long in 42 days. In how many days can 30 persons complete a similar wall 100 m long?
Choices:
10
8
6
4
Answer: B
Question: A person walks at a speed of 4 km/hr and runs at a speed of 8 km/hr. How many hours will the person require to cover a distance of 16 km, if the person completes half of the distance by walking and the other half by running?
Choices:
2.5
3
3.5
4
Answer: B
Question: Salesperson A's compensation for any week is $360 plus 8 percent of the portion of A's total sales above $1,000 for that week. Salesperson B's compensation for any week is 8 percent of A's total sales for that week. For what amount of total weekly sales would both salepeople earn the same compensation?
Choices:
$18,000
$15,000
$ 7,750
$4,000
Answer: C
Question: A man can row upstream 10 kmph and downstream 20 kmph. Find the man rate in sƟll water and rate
of the stream.
Choices:
5,5
15,5
10,5
None of these
Answer: B
Question: A certain quantity is measured on two different scales, the R scale and the S scale, that are related linearly. Measurements on the R scale of 6 and 24 correspond to the measurements on the S scale of 30 and 60 respectively. What measurement on the R scale corresponds to a measurement of 80 on the S scale?
Choices:
28
32
36
40
Answer: C
Question: 5358 x 71 = ?
Choices:
283758
383298
273258
380418
Answer: D
Question: A class is given an exam. 87% of students pass with a C or greater, the remaining students fail. Of the passing students, 48% received a C, and those who received an A was 25% of those who received a B. What percent of students received an A?
Choices:
9.05%
36.19%
12.00%
13.00%
Answer: A
Question: Mohan's salary was first increased by 20% and then decreased by 20%. If his present salary is Rs. 7200, then what was his original salary?
Choices:
Rs.7500
Rs.7572
Rs.7532
Rs.7555
Answer: A
Question: If a : b : : 3 : 5, b : c : : 4 : 3 and c : d : : 4 : 5, a : d = ?
Choices:
16 : 25
64 : 25
64 : 125
16 : 125
Answer: A
Question: Rahul 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:
Rs 12.10
Rs 19.70
Rs 16.80
None of these
Answer: B
Question: There are five guys who have equal number of bullets. All of them shoot 4 bullets. The remaining bullets are equal to the total number of bullets remaining is equal to the bullets each had after division. What was the original number of bullets each one had?
Choices:
19
20
21
25
Answer: D
Question: P, Q and R have $4000 among themselves. R has two-thirds of the total amount with P and Q. Find the amount with R?
Choices:
2403
3998
2539
1600
Answer: D
Question: In a friendship gang Andrew has 8 gang, in how many ways can he invite one or more of the gang to his house?
Choices:
255
260
265
290
Answer: A
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. 24,000. What will be B's share in the total profit of Rs. 20,000 earned at the end of 2 years from the starting of the business?
Choices:
A)6792.45
C)7379
D)7453
E)7637
Answer: A
Question: City A to city B, Andrew drove for 1hr at 48 mph and for 3 hours at 60 mph. What was the average speed for the whole trip?
Choices:
57
61
61.5
62.5
Answer: A
Question: A large tanker can be filled by two pipes A and B in 10 and 5 hours respectively. How many hours will it take to fill the tanker from empty state if A and B fill it together?
Choices:
3hr 20min
4hr
4hr 10min
4hr 15min
Answer: A
Question: In a row of 30 seats, six team of 4 persons each will be seated. The members of any one team always sit together in four consecutive seats in the same order. Different teams may be adjacent or separated by empty seats. In how many ways can the six teams be seated in the 30 seats?
Choices:
12!/6!
12C6
30C12
30C6*6
Answer: A
Question: As part of a promotion designed to attract visitors, an amusement park gives out 24,600 free tickets per year. Usually, the number of tickets given away each month is constant. Due to an employee error, only 8500 tickets were given out in the first four months of the year. How many tickets should the amusement park give out in the fifth month so that it will begin the sixth month back on its regular giveaway schedule?
Choices:
2501
2200
1750
1000
Answer: C
Question: X and Y invest Rs.21000 and Rs.17500 respectively in a business. At the end of the year, they make a profit of Rs.26400. What is the share of X in the profit?
Choices:
14400
14600
14800
14700
Answer: A
Question: In a box of 16 pens, a total of 3 are defective. If a customer buys 2 pens selected at random from the box, what is the probability that neither pen will be defective?
Choices:
2/9
6/20
13/20
3/4
Answer: C
Question: Find the average of first 4 multiples of 5?
Choices:
15
12.5
13
21
Answer: B
Question: If 36/x is an integer and 108/x is an integer, which of the following must be true?
I. 9/x is an integer.
II. 12/x is an integer.
III. 36/x is an integer.
Choices:
I, II, and III
I and II only
I only
III only
Answer: D
Question: The ratio of the length and the width of a rectangle is 4 : 3 and the area of the rectangle is 4332 sq cm. What is the ratio of the width and the area of the rectangle?
Choices:
1:76
1:80
1:84
1:88
Answer: A
Question: What is the sum of all remainders obtained when the first 110 natural numbers are divided by 9?
Choices:
401
403
405
399
Answer: B
Question: A is twice as good a workman as B and they took 7 days together to do the work B alone can do it in.
Choices:
21 days
29 days
25 days
27 days
Answer: A
Question: At Jefferson Elementary School, the number of teachers and students (kindergarten through sixth grade) totals 510. The ratio of students to teachers is 16 to 1. Kindergarten students make up 1/10 of the student population and fifth and sixth graders account for 1/3 of the remainder. Students in first and second grades account for 1/4 of all the students. If there are an equal number of students in the third and fourth grades, then the number of students in third grade is how many greater or fewer than the number of students in kindergarten?
Choices:
20 greater
28 fewer
36 fewer
44 fewer
Answer: A
Question: A train 455 m long, running with a speed of 63 km/hr will pass a tree in?
Choices:
16 sec
17 sec
39 sec
12 sec
Answer: C
Question: The ratio of the radius of two circles is 4: 3, and then the ratio of their areas is?
Choices:
1: 6
1: 9
16: 9
1: 2
Answer: C
Question: {1,2,3,4,5,5,6,6}how many four digited numbers can be formed without repiting the numbers?
Choices:
360
460
500
520
Answer: A
Question: If k > 0, which of the following could be true?
I. k^3 > k^2
II. k^2 = k
III. k^2 > k^3
Choices:
III
IIIII
All of the above
None of the above
Answer: C
Question: A box has exactly 100 balls, and each ball is either red, blue, or white. If the box has 12 more blue balls than white balls, and twice as many red balls as blue balls, how many white balls does The box has ?
Choices:
10
12
14
16
Answer: D
Question: Three competing juice makers conducted a blind taste test with mall shoppers. The shoppers could choose to taste any number of the three brands of juices but had to select at least one juice that they liked. If 100 shoppers liked brand J, 200 shoppers liked brand K, 700 shoppers liked brand L, 300 shoppers liked exactly 2 juices, and 100 shoppers liked all three juices, how many shoppers took the taste test?
Choices:
1,000
900
700
500
Answer: D
Question: If m is an integer greater than 6, which of the following must be divisible by 3?
Choices:
m (m+1) (m-4)
m (m+3) (m-5)
m (m+4) (m-2)
m (m+5) (m-6)
Answer: A
Question: A man can swim in still water at 6 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
Choices:
7.5
2.25
2
4
Answer: C
Question: Mr. Kutty has only hens and sheep. If the total number of their heads is 38 and the total number of legs is 100 then what is the ratio between the numbers of hens and sheep?
Choices:
1 : 2
6 : 13
13 : 6
None of these
Answer: C
Question: If |4x+6| = 50, what is the sum of all the possible values of x?
Choices:
-2
4
-3
6
Answer: C
Question: A total of $20,000 was invested in two certificates of deposit at simple annual interest rates of 6 percent and 8 percent, respectively. If the total interest on the two certificates was $1,440 at the end of one year, what fractional part of the $20.000 was invested at the higher rate?
Choices:
2/5
1/2
3/5
3/4
Answer: C
Question: If ab = 3(a + 1) + b and a and b are integers, a could be any of the following values EXCEPT:
Choices:
3
6
4
7
Answer: B
Question: If logX/(a2 + ab + b2) = log Y/(b2 + bc + c2) = logZ/(c2 + ca + a2), then Xa - b.Yb - c. Zc - a =?
Choices:
-1
1
2
3
Answer: B
Question: If a, b, c are integers and ab>0, bc >0, ac<0, then which of the following is false?
I.	a=0, b>0, c>0
II.	a>0, b=0, c>0
III.	a>0, b>0, c=0
Choices:
II only
III only
I, II and III
None of the above
Answer: C
Question: when n divided by 3, the remainder is 2.
when n divided by 4, the remainder is 1
what is the the remainder when divided by 15
Choices:
3
4
5
2
Answer: D
Question: A man cycling along the road noticed that every 3 minutes a bus overtakes him and every 9 minutes he meets an oncoming bus. If all buses and the cyclist move at a constant speed, what is the time interval between consecutive buses?
Choices:
6 minutes
8 minutes
9/2 minutes
10 minutes
Answer: C
Question: A, B and C have Rs.400 between them, A and C together have Rs.200 and B and C Rs.350. How much does C have?
Choices:
Rs.90
Rs.50
Rs.150
Rs.70
Answer: C
Question: How many quarters are equal to 5 dollars?
Choices:
8
12
20
7
Answer: C
Question: Carmen made a sculpture from small pieces of wood. The sculpture is 2 feet 10 inches tall.Carmen places her sculpture on a base that is 6 inches tall. How tall are the sculpture andbase together?
Choices:
3.2 feet
3.3 feet
3.4 feet
3.5 feet
Answer: B
Question: The number 90 can be written as the sum of the squares of 4 different positive integers. What is the sum of these 4 integers?
Choices:
16
15
14
13
Answer: A
Question: In a simultaneous throw of two dice , what is the probability of getting to total of 10 or 11?
Choices:
5/36
7/4
9/8
36/5
Answer: A
Question: Can you deduce the pattern and find the next number in the series?
1, 8, 27, 64, 125, ?
Choices:
208
278
279
216
Answer: D
Question: Two trains are traveling on parallel tracks in the same direction. The faster train travels at 130 miles per hour, while the slower train travels at 100 miles per hour. At 2 o’clock the faster train is 30 miles behind the slower one. How far apart are the two trains at 5 o'clock?
Choices:
60 miles
90 miles
120 miles
400 miles
Answer: A
Question: How long does a train 100 m long travelling at 60 kmph takes to cross a bridge of 120 m in length?
Choices:
13.2 sec
12.4 sec
16.8 sec
11.8 sec
Answer: A
Question: A coin is weighted so that the probability of heads on any flip is 0.1, while the probability of tails is 0.9. If the coin is flipped 5 times independently, which of the following represents the probability that tails will appear no more than twice?
Choices:
(0.1)^5 + 5(0.1)^4(0.9) + 10(0.1)^3(0.9)^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: What is the positive difference between the sum of the squares of the first 8 positive integers and the sum of the prime numbers between the first square and fourth square?
Choices:
162
163
164
165
Answer: B
Question: If (c - a)/(c - b) = 1, then (5b + 5a)/(c - a) =
Choices:
10
1.5
2
2.5
Answer: A
Question: A man's speed with the current is 15 km/hr and the speed of the current is 2.8 km/hr. The man's speed against the current is?
Choices:
9.4
50
30
40
Answer: A
Question: Akash's club with a total membership of 30 has formed 3 committees, M, S and R which have 8,12, and 5 members respectively. If no member of committee M is on either of the other 2 committees, what is the greatest possible number of members in the club who are on none of the committees.
Choices:
7
8
10
12
Answer: C
Question: Calculate the ratio between x and y if 15% of x equal to 50% of y?
Choices:
3 : 7
3 : 8
3 : 10
3 : 9
Answer: C
Question: The wages earned by Robin is 30% more than that earned by Erica. The wages earned by Charles is 70% more than that earned by Erica. How much percent is the wages earned by Charles more than that earned by Robin?
Choices:
23%
30%
31%
100%
Answer: C
Question: Two trains of length 140 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. In how much time will the trains cross each other?
Choices:
108/7 sec
57/7 sec
120/7 sec
50/7 sec
Answer: A
Question: Out of 8 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?
Choices:
B)5/4
C)5/14
D)5/6
E)9/14
Answer: D
Question: A has to pay Rs. 220 to B after 1 year.B asks A to pay Rs. 110 in cash and defer the payment of Rs. 110 for 2 years. A agrees to it. If the rate of interest be 10% per annum, in this mode of payment :
Choices:
A gains Rs. 7.34
A loses Rs. 7.34
A gains Rs. 11
None of these
Answer: A
Question: A team has to design a flag. The team has four yellow strips of cloth and five green strips of cloth that they must use as is to make the flag. How many different flags can the team design with the materials at hand?
Choices:
120
126
140
156
Answer: B
Question: Five years ago, the average age of A, B, C and D was 40 yr. with E joining them now, the average of all the five is 49 yr. How old is E?
Choices:
40 yr
45yr
65 yr
NOne
Answer: C
Question: How many times in a day, the hands of a clock are straight?
Choices:
44
30
25
20
Answer: A
Question: What is the tens digit of 6^22?
Choices:
3
5
7
9
Answer: A
Question: If julie rows 32 km upstream and 72 km down steam taking 4 hours each, then the speed of the stream
Choices:
0.5kmph
0.4kmph
1.6kmph
2.5kmph
Answer: A
Question: A boy is standing in one corner of a square ground of side 90m.He can throw a stone upto maximum 70m. Find the area in which that boy can throw that stone in that ground?
Choices:
3150
3250
3450
3850
Answer: D
Question: A man spends 10% of his income in house rent, 20% of the rest on his children’s education, 25% of the rest miscellaneous causes. If he now posses Rs. 1944 then his income is?
Choices:
Rs.3600
Rs.4500
Rs.3000
Rs.5000
Answer: A
Question: If r is the smallest positive integer that is not prime and not a factor of 50!, what is the sum of the factors of r?
Choices:
162
72
54
50!+2
Answer: A
Question: The area of a square is 625 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is thrice the side of the square and breadth is 20 cm less than the side of the square.
Choices:
5 : 13
2:9
1:15
1:5
Answer: C
Question: If x*y = xy – 2(x + y) for all integers x and y, then 3* (–3) =
Choices:
–9
–4
4
16
Answer: A
Question: If 32 men and 24 days can reap a field in 9 days in how many days will 28 men and 12 boys reap it supposing that 4 men can do as much as 6 boys?
Choices:
30 days
12 days
24 days
25 days
Answer: B
Question: If a(a - 9) = 10 and b(b -9) = 10, where a ≠ b, then a + b =
Choices:
−2
2
9
48
Answer: C
Question: In how many different ways can 5 boys and 3 girls sit on a bench such that the girls always sit together?
Choices:
720
1440
4320
5040
Answer: C
Question: If a and b are positive integers such that a/b = 4.88, which of the following must be a divisor of a
Choices:
4
11
12
13
Answer: A
Question: There were 35 students in a hostel. If the number of students increases by 7, the expenses of the mess increase by Rs. 42 per day while the average expenditure per head diminishes by Re 1. Find the original expenditure of the mess.
Choices:
Rs. 520
Rs. 420
Rs. 460
None of these
Answer: B
Question: What is the remainder when 1274 * 1275 * 1277 *1285 is divided by 12?
Choices:
6
11
9
7
Answer: A
Question: A box contains seven bulbs out of which 3 are defective. If three bulbs are chosen at random, find the probability that all the four bulbs are defective?
Choices:
1/35
1/18
1/198
1/126
Answer: A
Question: If each day a tree loses half its remaining leaves, what fraction of its leaves will it have lost after 4 days ?
Choices:
X-1/16
X/8
X/16
X/32
Answer: A
Question: The sum of four consecutive odd numbers is equal to the sum of 3 consecutive even numbers. Given that the middle term of the even numbers is greater than 101 and lesser than 204, how many such sequences can be formed?
Choices:
25
26
33
50
Answer: A
Question: A sum of Rs.1480 is divided into 13 students so that each boy gets Rs.120 while each girl gets Rs.100. Find the number of boys and number of girls
Choices:
5B, 8G
4B, 9G
9B, 4G
9B, 5G
Answer: C
Question: An investor can sell her MicroTron stock for 36$ per share and her Dynaco stock for 56$ per share, If she sells 300 shares altogether, some of each stock, at an average price per share of 40$, how many shares of Dynaco stock has she sold?
Choices:
75
60
136
184
Answer: B
Question: The ratio of men to women in the Snyder community choir is 6 to 5. The ratio of men to women in the Leigh community choir is 5 to 6. If the two choirs merged, the ratio of men to women in the combined choir would be 22 to 27. If Snyder has 4 more men and 6 more women than Leigh, how many men are in the Snyder choir?
Choices:
22
32
36
34
Answer: C
Question: The L.C.M of 22, 54, 108, 135 and 198 is
Choices:
2887
5940
2888
28881
Answer: B
Question: When 1/10 percent of 5,000 is subtracted from 1/10 of 5,000, the difference is
Choices:
50
450
495
500
Answer: C
Question: What is the sum of all digits for the number 10^26 - 51?
Choices:
209
219
229
239
Answer: C
Question: If the wheel is 15 cm then the number of revolutions to cover a distance of 1540 cm is?
Choices:
14
18
12
16
Answer: D
Question: John started driving on a highway at a constant speed of R miles per hour at 13:00. Then, 2 hours later, Tom started driving on the same highway at a constant speed of 3R/2 miles per hour at 15:00. If both drivers maintained their speed, how many miles had John driven on the highway when Tom caught up with John?
Choices:
6R
8R
9R
10R
Answer: A
Question: If the cost price is 96% of sp then what is the profit %
Choices:
4%
4.7%
4.17%
4.27%
Answer: C
Question: Two trains 131 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
Choices:
7.16
7.12
7.35
7.11
Answer: C
Question: A factory has a fixed cost of $55,000 a month, and a cost of $2.5 for every item produced. If the selling price of a single item is $5, what is the number of items must be sold monthly for the factory to cover its cost exactly?
Choices:
14,000
18,000
22,000
27,000
Answer: C
Question: What is the greatest value of positive integer x such that 2^x is a factor of 100^60?
Choices:
110
120
105
115
Answer: B
Question: What is the difference between the place value and the face value of 8 in the numeral 296487?
Choices:
82
78
52
72
Answer: D
Question: A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?
Choices:
29
30
20
24
Answer: B
Question: There are, in a certain league, 20 teams, and each team face another team for a total of 10 times. How many games are played in the season?
Choices:
1900
2400
180
5400
Answer: A
Question: Jim takes a seconds to swim u meters at a constant rate from point P to point Q in a pool. Roger, who is faster than Jim, can swim the same distance in v seconds at a constant rate. If Jim leaves point P the same time that Roger leaves point Q, how many fewer meters will Jim have swum than Roger when the two swimmers pass each other?
Choices:
c(v-u)/ (v+U)
c(a+b)/a-b
ab(a-b)/a+b
ab(b-a)/a+b
Answer: A
Question: There are three prizes to be distributed among five students. If no students gets more than one prize, then this can be done in:
Choices:
10 ways
60 ways
80 ways
None
Answer: A
Question: A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 52000, then the share of B is?
Choices:
24000
24005
24009
24002
Answer: A
Question: On July 1 of last year, total employees at company E was decreased by 10 percent. Without any change in the salaries of the remaining employees, the average (arithmetic mean) employee salary was 10 percent more after the decrease in the number of employees than before the decrease. The total of the combined salaries of all the employees at Company E after July 1 last year was what percent of that before July 1 last year?
Choices:
99%
100%
101%
110%
Answer: A
Question: The probability that a visitor at the mall buys a pack of candy is 60%. If three visitors come to the mall today, what is the probability that exactly two will buy a pack of candy?
Choices:
0.326
0.432
0.548
0.652
Answer: B
Question: Two numbers are in the ratio 3 : 4. If their L.C.M. is 84. what is sum of the numbers?
Choices:
49
76
84
85
Answer: A
Question: Annie has 100 cards numbered 1 through 100. If she deals six cards to Alex, without replacing any of them, what is the probability that Alex will get five consecutive numbers?
Choices:
96!/100!
(95! X 6!)/100!
(96! X 5!)/100!
(97! X 4!)/100!
Answer: B
Question: The perimeter of a rhombus is 68 cm and one of its diagonals is 16 cm. Find its area?
Choices:
240
882
378
2131
Answer: A
Question: A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 12 years now, the son's age five years back was:
Choices:
7 years
1 years
6 years
5 years
Answer: B
Question: Convert 200 inches into centimeter?
Choices:
520cm
508cm
510cm
554cm
Answer: B
Question: A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 180 m in 18 sec. then find the length of the train?
Choices:
180m
287m
216m
865m
Answer: A
Question: A seller of used cars has 18 cars to sell and each of his clients selected 3 cars that he liked most. If each car was selected exactly thrice, how many clients visited the garage?
Choices:
10
12
18
16
Answer: C
Question: A train 400 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
Choices:
77 kmph
54 kmph
71 kmph
90 kmph
Answer: D
Question: Every length in a 45°-45°-90° triangle increases by 20%. By what percent does the area of the triangle increase?
Choices:
25%
40%
44%
80%
Answer: C
Question: fill in the blank space.
2, 7, 14, 23, ?, 47
Choices:
28
34
38
42
Answer: B
Question: In a river flowing at 2 km/hr, a boat travels 56 km upstream and then returns downstream to the starting point. If its speed in still water be 6 km/hr, find the total journey time.
Choices:
12 hours
14 hours
21 hours
None of these
Answer: C
Question: If x/y = 5/z, then 25y^2 =
Choices:
x²z²
(1/9)x²z²
x²z
x²/9
Answer: A
Question: he number of sequences in which 3 players can throw a ball, so that the youngest player may not be the last is?
Choices:
10
4
6
8
Answer: B
Question: Mary and John can do a piece of work in 24 day; John and Vino in 30 days;Vino and Mary in 40 days. If Mary, John and Vino work together they will complete work in ?
Choices:
20
27
19
17
Answer: A
Question: The main line train starts at 5.00AM and the harbor line train starts at 5.02AM.Each train has the frequency of 10 minutes. If a guy goes in the morning at a random time what is the probability of he getting main line train?
Choices:
0.6
0.4
0.7
0.8
Answer: D
Question: Simplify 64552 * 999
Choices:
23647895
64487448
03688445
23614895
Answer: B
Question: How many pieces of 0.42 meteres can be cut from a rod 36.5 meteres long
Choices:
40
86
89
95
Answer: B
Question: The third largest prime number is?
Choices:
11
5
7
23
Answer: A
Question: Albert borrowed a total of $ 6000 from Brian and Charlie. He paid simple interest at the rate of 7 % Per yr and 9 % per yr respectively.At the end of three years he paid $ 1494 as total interest. What is the interest paid to Brian at the end of three years?
Choices:
$630
$441
$694
$684
Answer: B
Question: In a rectangular coordinate system, if a line passes through the points (-15,-18), (15,22) and (x,2) then what is the value of x?
Choices:
-1
0
1
2
Answer: B
Question: A sum was put at simple interest at a certain rate for 10 years . Had it been put at 5% higher rate , it would have fetched Rs.400 more. What was the Sum?
Choices:
s.800
s.1400
s.1000
s.920
Answer: A
Question: Two trains of length 180 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
Choices:
23 sec
76 sec
20 sec
66 sec
Answer: A
Question: A dog is tied to a tree by a long nylon cord. If the dog runs from the due North side of the tree to the due South side of the tree with the cord extended to its full length at all items, and the dog ran approximately 30 feet, what was the approximate length of the nylon cord E, in feet?
Choices:
25
15
10
5
Answer: C
Question: Two cylinders are of the same height. Their radii are in the ratio 1: 3. If the volume of the first cylinder is 40 cc. Find the volume of the second cylinder?
Choices:
360 cc
300 cc
36 cc
39 cc
Answer: A
Question: Tough and Tricky questions: Number Properties.
If (z + 3)/7 is an integer, what is remainder when z is divided by 7?
Choices:
3
4
5
6
Answer: C
Question: K and L are each four-digit positive integers with thousands, hundreds, tens, and units digits defined as a, b, c, and d, respectively, for the number K, and p, q, r, and s, respectively, for the number L. For numbers K and L, the function W is defined as 5^a*2^b*7^c*3^d ÷ 5^p*2^q*7^r*3^s. The function Z is defined as (K – L) ÷ 10. If W = 16, what is the value of Z?
Choices:
20
25
40
It cannot be determined from the information given.
Answer: C
Question: Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
Choices:
7 years
6 years
8 years
9 years
Answer: B
Question: What is the sum of all possible solutions to |x - 3|^2 + |x - 3| = 30 ?
Choices:
5
3
2
1
Answer: A
Question: A collection of books went on sale, and 2/3 of them were sold for $4.25 each. If none of the 30 remaining books were sold, what was the total amount received for the books that were sold?
Choices:
$255
$285
$290
$275
Answer: A
Question: Two members of a certain club are selected to speak at the next club meeting. If there are 36 different possible selections of the 2 club members, how many members does the club have?
Choices:
6
7
8
9
Answer: D
Question: If abc ≠ 3 and the sum of the reciprocals of a, b, and c equals the reciprocal of the product of a, b, and c, then a =
Choices:
(1 – bc)/(b + c)
(1 + b + c)/(bc)
(1 – b – c)/(bc)
(1 – b – c)/(b + c)
Answer: C
Question: Ashley and Vity work on a sales staff with 8 other salespeople. If five members of the staff will be chosen at random to attend a sales workshop, what is the probability that both Ashley and Vity will be chosen?
Choices:
3/28
2/9
1/4
1/2
Answer: B
Question: A women purchased a sofa and a bed for Rs. 12000 &Rs. 8000 respectively. He sold the sofa at a loss of 9% and the bed at a profit of 14%. Overall how much he make a profit.
Choices:
10
30
50
40
Answer: A
Question: An order was placed for a carpet whose length and width were in the ratio of 3 : 2. Subsequently, the dimensions of the carpet were altered such that its length and width were in the ratio 4 : 1 but were was no change in its perimeter. What is the ratio of the areas of the carpets?
Choices:
3:2
6:1
8:7
5:6
Answer: A
Question: A boy has Rs. 160 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Choices:
30
140
130
120
Answer: A
Question: A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 31150. What percentage of profit did he make?
Choices:
35%
40%
45%
None of these
Answer: B
Question: How many multiples of 9 are there between 18 and 270 ?
Choices:
27
42
61
60
Answer: A
Question: Jim drove 768 miles of a 1200 miles journey. How many more miles does he need to drive to finish his journey?
Choices:
432 miles
456miles
887 miles
767 miles
Answer: A
Question: A train covers a distance in 50 min ,if it runs at a speed
of 48kmph on an average.The speed at which the train must run
to reduce the time of journey to 40min will be.
Choices:
60kmph
57kmph
70kmph
61kmph
Answer: A
Question: Each child has 2 pencils and 13 Skittles. If there are 15 children, how many pencils are there in total?
Choices:
30
18
22
08
Answer: A
Question: What is the least number which should be added to 2982 so that the sum is exactly divisible by 5, 6, 4, and 3?
Choices:
18
22
26
30
Answer: A
Question: A can finish a work in 18 days and B can do same work in half the time taken by A. then working
together, what part of same work they can finish in a day
Choices:
1\6
1\7
1\8
None of these
Answer: A
Question: A and B can do a piece of work in 7 days, B and C in 8 days, C and A in 9 days. How long will C take to do it?
Choices:
18.8 days
21.4 days
24.3 days
26.5 days
Answer: B
Question: If the radius of a circle is decreased by 50%, find the percentage decrease
Choices:
099
75
26
18
Answer: B
Question: The batting average of a particular batsman is 63 runs in 46 innings. If the difference in his highest and lowest score is 150 runs and his average excluding these two innings is 58 runs, find his highest score.
Choices:
208
210
223
248
Answer: D
Question: At the wholesale store you can buy an 8-pack of hot dogs for $1.55, a 20-pack for $3.05, and a 250-pack for $22.95. What is the greatest number of hot dogs you can buy at this store with $203?
Choices:
2,100
2,108
2,120
2,256
Answer: C
Question: If the tens digit of positive integer x is 6 and the tens digit of positive integer y is 6, how many possible values of the tens digit of 2(x+y) can there be?
Choices:
3
4
5
6
Answer: B
Question: The sum of two numbers is 25 and their difference is 13. Find their product.
Choices:
114
315
325
335
Answer: A
Question: Consider the sequence of numbers beginning 23, 27, 28, 32, 33... It continues in such a way that by adding 5 to the nth term, one obtains the (n + 2)th term. What is the sum of the first 14 members of this sequence?
Choices:
900
560
928
1022
Answer: B
Question: If Jesse flips a coin seven times in a row, what is the probability that the result will not be tails for more than 2 times?
Choices:
29/128
35/128
1/16
1/4
Answer: A
Question: In the xy-coordinate system, if (m, n) and (m + 1, n + k) are two points on the line with the equation x = 2y + 5, then k =
Choices:
1/2
2
5/2
4
Answer: A
Question: Deepa started a business in 2009 by investing Rs.50,000. She invested Rs. 20,000 as additional amount in 2010 and her friend Sushma joined her with an amount of Rs.70,000. Deepa invested another Rs. 20,000 in 2011 and Avanthi joined them with Rs. 70,000. At the end of these 3 years, they earned a profit of Rs. 3,00,000. Find Sushma's share ?
Choices:
Rs.1,00,209
Rs.1,00,012
Rs.1,00,000
Rs.1,00,109
Answer: C
Question: The ratio of the volumes of two cubes is 8: 27 What is the ratio of their total surface areas?
Choices:
3:6
4:12
4:9
1:3
Answer: C
Question: A man sells an article at a profit of 25%. If he had bought it at 20% less and sold it for Rs.12.60 less, he would have gained 30%. Find the cost of the article.
Choices:
40
50
60
70
Answer: C
Question: A snooker tournament charges $40.00 for VIP seats and $15.00 for general admission (“regular” seats). On a certain night, a total of 300 tickets were sold, for a total cost of $7,500. How many fewer tickets were sold that night for VIP seats than for general admission seats?
Choices:
180
150
200
300
Answer: C
Question: In a sports club with 28 members, 17 play badminton and 19 play tennis and 2 do not play either. How many members play both badminton and tennis?
Choices:
8
9
10
11
Answer: C
Question: Look at this series: 15, 15, ?, 27, 39, 39, ... What number should fill the blank?
Choices:
39
27
15
None
Answer: B
Question: Compound interest earned on a sum for the second and the third years are Rs.1200 and Rs.1440 respectively. Find the rate of interest?
Choices:
28%
20%
16%
25%
Answer: B
Question: A trader sells 20 meters of cloth for Rs. 4500 at the profit of Rs. 10 per metre of cloth. What is the cost price of one metre of cloth?
Choices:
Rs. 215
Rs. 190
Rs. 395
None of these
Answer: B
Question: A and B start a business, with A investing the total capital of Rs.50000, on the condition that B pays A interest @ 10% per annum on his half of the capital. A is a working partner and receives Rs.1500 per month from the total profit and any profit remaining is equally shared by both of them. At the end of the year, it was found that the income of A is twice that of B. Find the total profit for the year?
Choices:
92828
59282
22888
12991
Answer: D
Question: A train with 1200m crosses a tree in 120sec, how much time will I take to pass a platform 700m long?
Choices:
130sec
190sec
200sec
100sec
Answer: B
Question: When Usha was thrice as old as Nisha, her sister Asha was 25, When Nisha was half as old as Asha, then sister Usha was 34. their ages add to 100. How old is Usha?
Choices:
20
30
40
50
Answer: C
Question: A and B start a business jointly. A invests Rs.16000 for 8 months and B remains in the business for 4 months. Out of the total profit B claims 3/7th share. How much money is contributed by B?
Choices:
B)Rs.12800
C)Rs.24000
D)Rs.12804
E)Rs.12830
Answer: B
Question: A shipment of 240 smartphones contains 84 that are defective. If a customer buys two smartphones at random from the shipment, what is the approximate probability that both phones are defective?
Choices:
9/74
1/11
1/9
1/3
Answer: A
Question: A circular ground whose radius is 15 metres, has a 1.2 metre-broad garden around it. What is the area of the garden in square metres?
Choices:
116.67
117.67
120.56
120.57
Answer: B
Question: A 230 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?
Choices:
240m
250m
260m
270m
Answer: D
Question: In how many ways can the letters A, M, A, Z, O, N be arranged so that the two A's are not next to each other?
Choices:
48
72
96
240
Answer: D
Question: An amount of Rs. 100000 is invested in two types of shares. The first yields an interest of 9% p.a and the second, 11% p.a. If the total interest at the end of one year is 9 3/4 %, then the amount invested in each share was?
Choices:
37500
83887
29978
29912
Answer: A
Question: A fair red coin with sides marked heads and tails is to be tossed eight times. What is the probability that the coin will land tails side up more than five times?
Choices:
A)37/256
C)65/256
D)70/256
E)81/256
Answer: A
Question: Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is?
Choices:
5/9
5/1
5/7
5/2
Answer: A
Question: A box contains six bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that at least one bulb is good?
Choices:
16/81
65/81
2/3
1/2
Answer: B
Question: An industrial loom weaves 0.128 metres of cloth every second. Approximately, how many seconds will it take for the loom to weave 25 metre of cloth ?
Choices:
195 seconds
196 seconds
197 seconds
None of these
Answer: A
Question: A train 150 m long can cross an electric pole in 3 sec and then find the speed of the train?
Choices:
180
72
27
28
Answer: A
Question: A certain deck of cards contains 2 white cards, 2 red cards, 2 yellow cards, and 2 green cards. If two cards are randomly drawn from the deck, what is the probability that they will both be not white?
Choices:
15/28
9/16
1/32
1/16
Answer: A
Question: A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Choices:
6 kmph
5 kmph
8 kmph
7 kmph
Answer: C
Question: A box contains 3red, 5yellow and 4 green balls. 3 balls are drawn randomly. What is the probability that the balls drawn contain balls of different colours?
Choices:
3/11
1/4
3/7
2/9
Answer: A
Question: If you roll a fair-sided die twice, what is the probability of getting a double (5,5)?
Choices:
1/36
1/12
1/18
1/3!
Answer: D
Question: The average of 13 numbers is 60. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th number?
Choices:
46
25
22
29
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.84. How much was lent at 5%?
Choices:
466
578
600
677
Answer: C
Question: A sum of money deposited at C.I. amounts to Rs.3000 in 3 years and to Rs.3600 in 4 years. Find the rate percent?
Choices:
5%
10%
15%
20%
Answer: D
Question: Tough and Tricky questions: Probability.
Medical analysts predict that a quarter of all people who are infected by a certain biological agent could be expected to be killed for each day that passes during which they have not received an antidote. What fraction of a group of 1,000 people could be expected to be killed if infected and not treated for three full days?
Choices:
37/64
2/3
19/27
65/81
Answer: A
Question: If r and s are positive integers and r-s=6, which of the following has the greatest value Q?
Choices:
2r
r +s
2r-s
2s-r
Answer: A
Question: How many pieces of 75 cm can be cut from a rope 54 meters long?
Choices:
40
60
72
Cannot be determined
Answer: C
Question: If in a box of dimensions 6 m * 5 m * 4 m smaller boxes of dimensions 60 cm * 50 cm * 40 cm are kept in it, then what will be the maximum number of the small boxes that can be kept in it?
Choices:
1000
2877
2667
1311
Answer: A
Question: Ravi jogs 7 km at a speed of 5 kmph. at what speed would she need to jog during the next 2.5 hour to have an average of 7 km per hr at the entire jogging session?
Choices:
17.8 kmph
5.8kmph
5.8kmph
4.9kmph
Answer: A
Question: An order was placed for a carpet whose length and width were in the ratio of 3 : 2. Subsequently, the dimensions of the carpet were altered such that its length and width were in the ratio 4 : 3 but were was no change in its perimeter. What is the ratio of the areas of the carpets?
Choices:
19:20
29:30
39:40
49:50
Answer: D
Question: If a survey shows that 26 citizens out of a sample of 200 support a particular Senate bill, what percent of the sample does not support the bill?
Choices:
64%
72%
87%
86%
Answer: C
Question: There are 16 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
306
Answer: D
Question: Length of a rectangular plot is 20 mtr more than its breadth. If the cost of fencin gthe plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr?
Choices:
60 m
50 m
67 m
78 m
Answer: A
Question: The rhombus (AFCE) is inscribed in rectangle (ABCD). The length of BF = DE.
If the rectangle has a width of 20 yards and a length of 25 yards, what would be the total length (the perimeter) of a fence along the sides defined by AFCE?
Choices:
82 yards
84 yards
85 yards
90 yards
Answer: A
Question: There are 5 boxes in a cargo. The weight of the 1st box is 200 KG, the weight of the 2nd box is 20% higher than the third box, whose weight is 25% higher than the 1st box weight. The 4th box which weighs 350 KG is 30% lighter than the 5th box. Find the difference in average weight of the 4 heaviest boxes and the four lightest boxes.
Choices:
75
25
70
11
Answer: A
Question: In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race?
Choices:
190 sec
199 sec
192 sec
193 sec
Answer: A
Question: A wooden cube whose edge length is 7 inches is composed of smaller cubes with edge lengths of one inch. The outside surface of the large cube is painted red and then it is split up into its smaller cubes. If one cube is randomly selected from the small cubes, what is the probability that the cube will have at least one red face?
Choices:
63.6%
67.2%
70.5%
73.6%
Answer: A
Question: A school has received 80% of the amount it needs for a new building by receiving a donation of $600 each from people already solicited. People already solicited represent 40% of the people from whom the school will solicit donations. How much average contribution is requited from the remaining targeted people to complete the fund raising exercise?
Choices:
100
$105
$250
$300
Answer: A
Question: A mixture contains alcohol and water in the ratio 4 : 3. If 6 litres of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture
Choices:
10 litres
30 litres
12 litres
8 litres
Answer: C
Question: In what time will a railway train 75 m long moving at the rate of 50 kmph pass a telegraph post on its way?
Choices:
5.4
4.3
6.5
7
Answer: A
Question: A goods train leaves a station at a certain time and at a fixed speed. After ^hours, an express train leaves the same station and moves in the same direction at a uniform speed of 90 kmph. This train catches up the goods train in 4 hours. Find the speed of the goods train.
Choices:
36
33
37
None of them
Answer: A
Question: Tim came second in Math. When his mother asked him how much he had scored, he answered that he got the sum of the first 8 even numbers. His mother immediately worked out the answer. How much had he scored in Math?
Choices:
90
30
72
60
Answer: C
Question: A basketball coach is choosing her starting lineup from a team of 11 girls. 7 of the girls are post players and 4 are guards. If she chooses 3 post players and 2 guards, how many different lineups can be made?
Choices:
210
240
260
270
Answer: A
Question: A train 500 m long can cross an electric pole in 20 sec and then find the speed of the train?
Choices:
97 Kmph
72 Kmph
90 Kmph
19 Kmph
Answer: C
Question: A rectangular farm has to be fenced one long side, one short side and the diagonal. If the cost of fencing is Rs.12 per meter. The area of farm is 1200 m2 and the short side is 30 m long. How much would the job cost?
Choices:
1440
2832
1299
1236
Answer: A
Question: Bill has d animals, 28 of which were sold at a profit of 10% each while the rest were sold at a loss of 20% each. Overall, Bill made neither a profit nor a loss. Which of the following is equal to d?
Choices:
12
18
24
42
Answer: D
Question: A certain list of 300 test scores has an arithmetic mean of 75 and a standard deviation of d, where d is positive. Which of the following two test scores, when added to the list, must result in a list of 303 test scores with a standard deviation less than d?
Choices:
75 and 75
70 and 75
75 and 70
70 and 80
Answer: A
Question: 275.124 x 16.98 Ã· 5.001 + 22.22 = ?
Choices:
659.121
957.641
656.112
456.512
Answer: B
Question: The salary of a typist was at first raised by 10% and then the same was reduced by 5%. If he presently draws Rs.1045.What was his original salary?
Choices:
950
1000
975
870
Answer: B
Question: What should come in place of the question mark (?) in the following equation?
5679 + 1438 – 2015 = ?
Choices:
5012
5102
5002
None of these
Answer: B