antoine-444/aqua_rat_dataset huggingface dataset:
Question: A person sold two cows each for Rs.9900. If he gained 10% on one and lost 20% on the other, then which of the following is true ?
Choices:
He gained Rs. 200
Neither he gained nor lost
None of the above
He gained Rs. 300
Answer: C
Question: What is the average of xx, 2x2x, and 66?
Choices:
x+2
x+2x+2
2x+2
2x
Answer: B
Question: A teacher of 6 students takes 2 of his students at a time to a zoo as often as he can, without taking the same pair of children together more than once. How many times does the teacher go to the zoo?
Choices:
12
15
20
30
Answer: B
Question: What percent of 60 is 90?
Choices:
75
150
33 1⁄3
25
Answer: B
Question: In a bread recipe, the ratio of water to flour is 13 to 20. There is 168 g more flour than water. How much flour does the recipe call for?
Choices:
440 g
480 g
510 g
525 g
Answer: B
Question: Five persons - A, B, C, D and E are being compared in weight and height. The second heaviest person. D is the shortest. A is the 2nd tallest and shorter than E, The heaviest person is the third tallest person. There is only one person shorter than B, who is lighter than E and A respectively. What is the position of A in height and weight respectively?
Choices:
2nd,4th
2nd,1st
5th,3rd
2nd,5th
Answer: A
Question: I bought two books; for Rs.480. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?
Choices:
Rs.280
Rs.140
Rs.70
Rs.15
Answer: A
Question: Evaluate combination
100C98=100!/(98)!(2)!
Choices:
4950
4170
3170
None of these
Answer: A
Question: A certain company expects quarterly earnings of $0.80 per share of stock, half of which will be distributed as dividends to shareholders while the rest will be used for research and development. If earnings are greater than expected , shareholders will receive an additional $0.04 per share for each additional $0.10 of per share earnings. If quarterly earnings are $1.10 per share, what will be the dividend paid to a person who owns 300 shares of the company's stock?
Choices:
$96
$156
$120
$240
Answer: B
Question: If (1 – 1.25)N = 2, then N =
Choices:
−140
−8
4
400
Answer: B
Question: During the second quarter of 1984, a total of 2,976,000 domestic cars were sold. If this was 18% greater than the number sold during the first quarter of 1984, how many were sold during the first quarter ?
Choices:
2,261,760
2,522,033
3,690,240
3,915,790
Answer: B
Question: John Traveled from point A to B in 4 merter per sec and from B to A in 6 meter per sec. What is his average speed?
Choices:
4.8m/s
5.2m/s
5.4m/s
5.8m/s
Answer: A
Question: In an election only two candidates contested. A candidate secured 70% of the valid votes and won by a majority of 172 votes. Find the total number of valid votes?
Choices:
430
267
262
927
Answer: A
Question: A man can row upstream at 8 kmph and downstream at 13 kmph. The speed of the stream is
Choices:
2.5 km/hr
5 km/hr
10.5 km/hr
None
Answer: A
Question: What is 120% of 13/24 of 840?
Choices:
478
512
546
620
Answer: C
Question: There are 81 people in a certain community who belong to the local golf club, tennis club or both clubs. If twice as many people belong to the tennis club as belong to the golf club, what could be the number of people who belong to both clubs?
Choices:
7
27
21
37
Answer: D
Question: In a mixture of 60 liters, the ratio of milk and water is 2:1. What amount of water must be added to make the ratio of milk and water as 1:2?
Choices:
68 liters
60 liters
26 liters
27 liters
Answer: B
Question: Pavan travelled for 11 hours. He covered the first half of the distance at 30 kmph and remaining half of the distance at 25 kmph. Find the distance travelled by Pavan.
Choices:
225 km
452 km
300 km
290 km
Answer: C
Question: The average of 11 numbers is 10.7. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is?
Choices:
9.2
10
13.7
12
Answer: C
Question: Two pipes A and B can fill a tank in 15 min and 21 min respectively. Both the pipes are opened together but after 4 min, pipe A is turned off. What is the total time required to fill the tank?
Choices:
14 min 42 sec
14 min 20 sec
14 min 40 sec
15 min 12 sec
Answer: D
Question: A and B can do a piece of work in 12 days and 16 days respectively. Both work for 3 days and then A goes away. Find how long will B take to complete the remaining work?
Choices:
12 days
10 days
9 days
8 days
Answer: C
Question: A number when divided by D leaves a remainder of 8 and when divided by 3D leaves a remainder of 21 . What is the remainder left, when twice the number is divided by 3D?
Choices:
12
3
2
42
Answer: B
Question: A batsman makes a score of 90 runs in the 17th inning and thus increases his averages by 3. What is his average after 17th inning?
Choices:
35
42
40.5
42
Answer: D
Question: On a certain road, 10% of the motorists exceed the posted speed limit and receive speeding tickets, but 60% of the motorists who exceed the posted speed limit do not receive speeding tickets. What percent of the motorists on that road exceed the posted speed limit?
Choices:
12.5%
15%
25%
30%
Answer: C
Question: A shopping cart contains only apples, oranges, and pears. If there are four times as many oranges as apples, and five times as many pears as oranges, then the apples are equivalent to what fraction of the pears?
Choices:
1/9
1/12
1/16
1/20
Answer: D
Question: Which of the following correctly lists the data sets in order of least to greatest standard deviation?
I. 2, 2, 2 3, 3, 2
II. 32, 32, 32, 30, 30, 32
III. 37, 38, 39, 40, 44, 42
Choices:
I, II, III
II, I, III
II, III, I
III, II, I
Answer: A
Question: How many 3-letter words can be formed using the letters of the English alphabet that contain 1 different vowels and 2 different consonants?
Choices:
4!*5c3 *21c2
3!*5c1 *21c2
5!*5c2 *21c2
6!*5c2 *21c2
Answer: B
Question: If (x+4)2−−−−−−−√=3(x+4)2=3, which of the following could be the value of x−4x−4?
Choices:
-11
-4
-3
5
Answer: A
Question: what is the smallest number should be added to 5377 so that the sum is completely divisible by 7?
Choices:
4
6
2
1
Answer: B
Question: Amy has to visit towns B and C in any order. The roads connecting these towns with her home are shown on the diagram. How many different routes can she take starting from A and returning to A, going through both B and C (but not more than once through each) and not travelling any road twice on the same trip?
Choices:
8
9
2
7
Answer: A
Question: if each of its sides of a rectangle is increased by 18%, what is the percentage increase in the area of the rectangle, ?
Choices:
39.24%
36.24%
37.24%
38.24%
Answer: A
Question: If 4 : 6 :: x : 36, then find the value of x
Choices:
24
28
30
18
Answer: A
Question: One-third of Rahul's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,50,000 as total savings, how much has he saved in Public Provident Fund ?
Choices:
Rs. 50,000
Rs. 60,000
Rs. 90,000
Rs. 70,000
Answer: B
Question: A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in?
Choices:
22 1/2
23
23 1/2
23 1/3
Answer: A
Question: Ten circular coins are thrown on the street so that no two of them
overlap or touch, and no three of them have a tangent line in common.
What is the total number of lines which are tangent to two of the coins?
Choices:
100
180
240
360
Answer: B
Question: The diameter of a wheel of cycle is 21 cm. It moves slowly along a road. How far will it go in 500 revolutions?
Choices:
330
360
390
410
Answer: A
Question: A metallic sheet is of rectangular shape with dimensions 40m x 30 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m cube) is:
Choices:
4140 m cube
2688 m cube
4000 m cube
None of these
Answer: B
Question: A work can be finished in 13 days by ten women. The same work can be finished in fifteen days by ten men. The ratio between the capacity of a man and a woman is
Choices:
13:15
12:13
13:12
14:15
Answer: A
Question: A 3% stock produces 10%. The market value of the stock is:
Choices:
Rs. 25
Rs. 20
Rs. 30
Rs. 40
Answer: C
Question: In how many different ways can the letters of the word ‘ARMOUM’ be arranged?
Choices:
260
370
409
360
Answer: D
Question: There are 20 poles with a constant distance between each pole. A car takes 20 second to reach the 12th pole. How much will it take to reach the last pole.
Choices:
34.5455
34.45128
34.51288
34.41222
Answer: A
Question: Murali travelled from city A to city B at a speed of 40 kmph and from city B to city C at 60 kmph. What is the average speed of Murali from A to C given that the ratio of distances between A to B and B to C is 10 : 5?
Choices:
45
277
92
11
Answer: A
Question: An outlet pipe can empty 2/3 rd of a cistern in 12 minutes. In 8 minutes, what part of the cistern will be emptied?
Choices:
4/9
4/2
4/8
4/1
Answer: A
Question: From a pack of 52 cards, 1 card is drawn at random. Find the probability of a face card drawn
Choices:
4/13
1/4
1/5
None of above
Answer: A
Question: A sells a bicycle to B at a profit of 70% and B sells it to C at a loss of 40%. Find the resultant profit or loss.
Choices:
2%
-5%
6%
-7%
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 15 members of this sequence?
Choices:
618
788
928
1022
Answer: A
Question: An empty pool being filled with water at a constant rate takes 5 hours to fill to 3/5 of its capacity. How much more time will it take to finish filling the pool?
Choices:
5 hr 20 min
4 hr 48 min
3 hr 20 min
2 hr 40 min
Answer: C
Question: If 5x + y = 15, 5y + z = 25 and 2z + x = 2, what is the value of x ?
Choices:
2
9
12
None of these
Answer: A
Question: 7^8 is equal to which of the following?
Choices:
5,764,788
5,764,799
5,764,800
5,764,801
Answer: D
Question: If a company allocates 15 percent of its budget to advertising, 10 percent to capital improvements, and 55 percent to salaries, what fraction of its budget remains for other allocations?
Choices:
3/5
3/10
1/5
1/10
Answer: C
Question: A can finish a work in 8 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:
3/6
3/7
3/8
None of these
Answer: C
Question: A pharmaceutical company received $2 million in royalties on the first $15 million in sales of generic equivalent of one of its products and then $6 million in royalties on the next $72 million in sales. By approximately what percent did the ratio of royalties to sales decrease from the first $15 million in sales to the next $72 million in sales?
Choices:
30%
32.5%
37.5%
40%
Answer: C
Question: The workforce of Company X is 60% female. The company hired 22 additional male workers, and as a result, the percent of female workers dropped to 55%.How many employees did the company have after hiring the additional male workers?
Choices:
220
264
360
420
Answer: B
Question: If each side of the square is increased by 25% find the percentage change in its area?
Choices:
56.25%
89.98%
54.48%
45.0%
Answer: A
Question: A circular mat with diameter 16 inches is placed on a square tabletop, each of whose sides is 24 inches long. Which of the following is closest to the fraction of the tabletop covered by the mat?
Choices:
2/5
1/3
3/4
5/6
Answer: B
Question: A AND B CAN DO A WORK IN 12 DAYS, B AND C IN 15 DAYS, C AND A IN 20 DAYS. IF A, B AND C WORK TOGETHER, THEY WILL COMPLETE THE WORK IN:
Choices:
7 5/6 DAYS
10 DAYS
15 2/3 DAYS
NONE OF THESE
Answer: B
Question: A student scored an average of 85 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:
16
76
65
26
Answer: C
Question: The distance from City A to City B is 30 miles. While driving from City A to City B, Bob drives at a constant speed of 40 miles per hour. Alice leaves City A 30 minutes after Bob. What is the minimum constant speed in miles per hour that Alice must exceed in order to arrive in City B before Bob?
Choices:
88
120
152
154
Answer: B
Question: Sreenivas sells a table to Shiva at 10% profit and Shiva sells it to Mahesh at 10% loss. At what price did Sreenivas purchase the table if Mahesh paid Rs. 2178?
Choices:
Rs. 2150
Rs. 2200
Rs. 2250
None of these
Answer: B
Question: If 1/a^2 + a^2 represents the diameter of circle O and 1/a + a = 4, which of the following best approximates the circumference of circle O?
Choices:
22
20
16
12
Answer: B
Question: The difference between simple and compound interest on Rs. 1500 for one year at 10% per annum reckoned half-yearly is?
Choices:
3.0
9.5
3.75
2.15
Answer: C
Question: If -3x+2y=28 and 3x+6y=84, what is the product of x and y?
Choices:
428
0
462
642
Answer: B
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
7:1
2:5
None of these
Answer: A
Question: 0.03 x 0.5 = ?
Choices:
0.001
0.015
0.1
NONE OF THESE
Answer: B
Question: A train 100 meters long takes 6 seconds to cross a man walking at 5 kmph in the direction opposite to that of the train. Find the speed of the train.
Choices:
50 kmph
55 kmph
60 kmph
70 kmph
Answer: B
Question: A present value of a machine is $2000. Its value depletiation rate is 20% per annum then find the machine value before 2 years?
Choices:
$3125
$3012
$2545
$3150
Answer: A
Question: Calculate the cost of p meters of rope given that the cost of m meters of said rope is q rupees?
Choices:
Rs.(pq/m)
Rs.(q/m)
Rs.(p/m)
Rs.(p*m)
Answer: A
Question: Amit and Ian paint a wall in alternating shifts. First Amit paints alone, then Ian paints alone, then Amit paints alone, etc. During each of his shifts, Amit paints 1/2 of the remaining unpainted area of the wall, while Ian paints 1/3 of the remaining unpainted area of the wall during each of his shifts. If Amit goes first, what fraction of the wall's area will remain unpainted after Amit has completed his 2th shift?
Choices:
1/54
1/81
1/6
1/216
Answer: C
Question: If two letters are taken at random from the word HOME, what is the probability that none of the letters would be vowels?
Choices:
1/2
1/6
1/8
1/9
Answer: B
Question: If n is a positive integer and n^2 is divisible by 134, then the largest positive integer that must divide n is
Choices:
12
24
36
48
Answer: B
Question: An bus covers a certain distance at a speed of 250 kmph in 5 hours. To cover the samedistance in 1hr, it must travel at a speed of?
Choices:
720 km/hr
730 km/hr
750 km/hr
760 km/hr
Answer: C
Question: Angelo and Isabella are both salespersons. In any given week, Angelo makes $580 in base salary plus 8 percent of the portion of his sales above $1,000 for that week. Isabella makes 10 percent of her total sales for any given week. For what amount of weekly sales would Angelo and Isabella earn the same amount of money?
Choices:
24,500
25,000
26,500
27,500
Answer: B
Question: A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.18000. A's share is?
Choices:
2779
6000
2878
231
Answer: B
Question: A train 140 m long crosses a platform 160 m long in 16 sec; find the speed of the train?
Choices:
65 kmph
68 kmph
16 kmph
18 kmph
Answer: B
Question: There are 10 solid colored balls in a box, including 1 Green and 1 Yellow. If 3 of the balls in the box are chosen at random, without replacement, what is the probability that the 3 balls chosen will include the Green ball but not the yellow ball.
Choices:
7/30
1/4
3/10
4/15
Answer: A
Question: Four friends, Patricia, Melyssa, Tania, and Cassandra, are pooling their money to buy a $1100 item. Patricia has twice as much money as Melyssa. Tania has $10 more than Patricia. Cassandra has 20% more than Tania. If they put all their money together and spend the $1100, they will have $32 left. How much money does Patricia have?
Choices:
$420
$300
$315
$280
Answer: B
Question: If two numbers are in the ratio 2:3. If 10 is added to both of the numbers then the ratio becomes 3:4 then find the smallest number?
Choices:
18
22
25
26
Answer: A
Question: Simplify : 5793405 x 9999
Choices:
57928256595
57928262559
59722422582
None of them
Answer: A
Question: A bakery has 6 employees. It pays annual salaries of $16,000 to each of 2 employees, $18,000 to 1 employee, and $19,000 to each of the remaining 3 employees. Which number is closest to the average (arithmetic mean) annual salary of these employees?
Choices:
$17,500
$17,800
$18,000
$18,400
Answer: B
Question: In the first week of last month, Company X realized an average wholesale profit of $5712 per day from the sale of q units of Product Y. Which of the following CANNOT be the difference between Product Y’s sale price and cost per unit?
Choices:
$4
$7
$13
$51
Answer: C
Question: If a and b are different positive integers and a + b = b(a + b), then which of the following must be true?
I. a = 1
II. b < a
III. b = 1
Choices:
II only
III only
II and III
I and III
Answer: C
Question: A train sets off at 2 p.m. at the speed of 70 kmph. Another train starts at 1:30 p.m. in the same direction at the rate of 85 kmph. At what time the trains will meet?
Choices:
10.29 p.m
8.30 p.m
10.38 p.m
10.32 p.m
Answer: B
Question: Calculate the least possible number of vans needed to transport 280 students, given that each van can only take 12 students each?
Choices:
22
21
20
24
Answer: D
Question: If f(x) = x^3/(x^4 - 1), what is f(1/x) in terms of f(x)?
Choices:
-f(x)
2*f(x)
1/f(x)
2/f(x)
Answer: A
Question: The function f is defined for all positive integers u by the following rule. f(u) is the number of positive integers each of which is less than u and has no positive factor in common with u other than 1. If p is any prime, number then f(p)=
Choices:
p-2
p-1
(p-1)/2
2
Answer: B
Question: A rectangular paper when folded into two congruent parts had a perimeter of 34cm foer each part folded along one set of sides and the same is 38cm. When folded along the other set of sides. What is the area of the paper?
Choices:
140
277
288
167
Answer: A
Question: Five percent of a certain grass seed is timothy. If the amount of the mixture needed to plant one acre contains 2 pounds of timothy, how many acres can be planted with 600 pounds of the seed mixture?
Choices:
15
20
24
120
Answer: A
Question: If Jan spent 40% of her monthly income on housing and 20% less than she spent on housing on a car payment, what percent of her monthly income did she have left after making both her housing payment and her car payment?
Choices:
28%
42%
50%
60%
Answer: A
Question: The speed of a boat in still water is 70kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Choices:
kmph
kmph
kmph
kmph
Answer: C
Question: If v, w, x, y, and z are positive integers, which of the following could not become a terminating decimal?
Choices:
34/5^(2y)
35/100^z
36/4^w
37/3^(5v)
Answer: D
Question: A mixture of 125 gallons of wine and water contains 20% of water. How much water must be added to the mixture in order to increase the percentage of water to 25% of the new mixture?
Choices:
8.33
8.36
8.31
8.32
Answer: A
Question: Two trains started from the same point. At 8:00 am the first train traveled East at the rate of 80 mph. At 9:00 am, the second train traveled West at the rate of 100 mph. At what time were they 530 miles apart?
Choices:
11:30 am
8:30 am
7:30 am
9:30 am
Answer: A
Question: What will come in place of the x in the following Number series? 1. 0, 6, 24, 60, 120, 210, x
Choices:
336
380
430
450
Answer: A
Question: The average age of a husband and a wife is 23 years when they were married SIX years ago but now the average age of the husband, wife and child is 20 years(the child was born during the interval). What is the present age of the child?
Choices:
9 years
6 years
4 years
2 years
Answer: D
Question: An article cost is Rs 912 after decreasing 24%. So find the actual cost of the article?
Choices:
1200
1300
1000
1700
Answer: A
Question: Six machines at a certain factory operate at the same constant rate. If five of these machines, operating simultaneously, take 42 hours to fill a certain production order, how many fewer hours does it take all six machines, operating simultaneously, to fill the same production order?
Choices:
6
7
9
12
Answer: B
Question: Grace has 17 jellybeans in her pocket. She has 9 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?
Choices:
8
12
14
16
Answer: C
Question: Salaries of Rajesh and Sunil are in the ratio of 2 : 3. If the salary of each one is increased by 4000 the new ratio becomes 40 : 57. What is Sunil’s present salary?
Choices:
20000
25500
Cannot be determined
None of these
Answer: D
Question: 3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 12 pumps work to empty the tank in 1 day?
Choices:
4
11
12
13
Answer: A
Question: The sides AB, BC & CA of a triangle ABC have 3, 4 and 5 interior points respectively on them. Find the number of triangles that can be constructed using these points as vertices.
Choices:
205.
250
105
225
Answer: A
Question: A stationary engine has enough fuel to move 12 hours when its tank is 4/5 full, how much
hours will it run when the tank is 1/3 full
Choices:
4 hours
5 hours
6 hours
7 hours
Answer: B
Question: Miguel is 46 years old. He is 6 years older than thrice his son’s age. Find the age of his son.
Choices:
12years
13years
14years
15years
Answer: B
Question: Each of the 11 letters A, H, I, M, O, T, U, V, W, X and Z appears same when looked at in a mirror. They are called symmetric letters. Other letters in the alphabet are asymmetric letters. How many two letter computer passwords can be formed (no repetition allowed) with at least one symmetric letter
Choices:
6,435
12,100
2420
25,740
Answer: C
Question: If each edge of cube increased by 50%, the percentage increase in
Choices:
114
115
125
105
Answer: C
Question: What is the simplified result of following the steps below in order?
(1)	add 5y to 2z
(2)	multiply the sum by 3
(3)	subtract z + y from the product
Choices:
5z + 14y
5x + 5y
6x + 4y
3x + 12y
Answer: A
Question: In paper A, one student got 18 out of 70 and in paper B he got 14 out of 30. In which paper he did fare well?
Choices:
46.6
46.7
46.2
46.1
Answer: A
Question: A parallelogram has a base that is four time the size of it's height. The total area of this parallelogram is 2,304 Sq ft. What is the height of the parallelogram?
Choices:
23
24
16
17
Answer: B
Question: A certain number X when divided by 233 leaves a remainder of 87. Which of the following can be subtracted from X to make X divisible by 91?
Choices:
27
37
47
57
Answer: C
Question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Choices:
40 sec
45 sec
48 sec
50 sec
Answer: A
Question: S is a set containing 7 different positive odd primes. T is a set containing 8 different numbers, all of which are members of S. Which of the following statements CANNOT be true?
Choices:
The median of S is prime.
The median of S is equal to the median of T.
The sum of the terms in S is prime.
The sum of the terms in T is prime.
Answer: A
Question: Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 108 kmph and 72 kmph. In how much time will the trains cross each other?
Choices:
8
9
2
1
Answer: A
Question: What is the probability of getting a number less than 4 when a die is rolled?
Choices:
1/4
1/5
1/6
1/2
Answer: D
Question: A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
Choices:
6
7
8
9
Answer: A
Question: Which of the following correctly lists the data sets in order of least to greatest standard deviation?
I. 56, 56, 56, 56, 56, 56
II. 5, 7, 16, 18, 25, 32
III. 6,7,8,9,10,11,12
Choices:
I, III, II
II, I, III
I, III, II
III, II, I
Answer: C
Question: A certain sum of money is divided among A, B and C so that for each Rs. A has, B has 65 paisa and C 40 paisa. If C's share is Rs.24, find the sum of money?
Choices:
262
72
123
267
Answer: C
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 10 hrs and a machine of type S does the same job in 5 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)6
D)9
E)12
Answer: B
Question: What is the units digit of 18! + 2 ?
Choices:
2
3
4
5
Answer: A
Question: A and B can finish a work in 14 days while A alone can do the same work in 24 days. In how many days B alone will complete the work?
Choices:
35 2/3 days
33 2/3 days
31 2/3 days
32 2/3 days
Answer: B
Question: A company has two types of machines, type R and type S. Operating at a constant rate a machine of R does a certain job in 36 hours and a machine of type S does the job in 12 hours. If the company used the same number of each type of machine to do job in 12 hours,how many machine R were used?
Choices:
4
6
9/2
12
Answer: C
Question: Subtracting 10% from X is the same as multiplying X by what number?
Choices:
90%
80%
98%
20%
Answer: A
Question: A bag contains 6 red, 5 blue and 2 green balls. If 2 balls are picked at random, what is the probability that both are red?
Choices:
3/17
5/26
5/21
7/15
Answer: B
Question: How many words, with or without meaning, can be formed using all letters of the word SHARP using each letter exactly once?
Choices:
100
110
120
130
Answer: C
Question: In a college the ratio of the numbers of boys to the girls is 8:5. If there are 210 girls, the total number of students in the college is?
Choices:
356
452
416
546
Answer: D
Question: Which one of the following is a composite number?
Choices:
61
71
73
55
Answer: D
Question: Akash leaves Chennai at 6am & reaches Bangalore at 10am. Prakash leaves Hyderabad at 8 am and reaches Chennai at 11:30 am. At what time do they cross each other?
Choices:
6 : 56am
8 : 56am
9 : 56am
10 : 26am
Answer: B
Question: A sock drawer contains seven socks, each one a different solid color. The colors of the socks are red, orange, yellow, green, blue, indigo, and violet. If a person reaches into the drawer and pulls out two socks, how many different color combinations are possible in the selected pair of socks?
Choices:
15
21
36
42
Answer: B
Question: if the average of 6 consecutive number is 27, then the largest of the number is?
Choices:
28.5
29
29.5
30
Answer: C
Question: Rs.1200 divided among P, Q and R. P gets half of the total amount received by Q and R. Q gets one-third of the total amount received by P and R. Find the amount received by R ?
Choices:
Rs. 500
Rs. 1200
Rs. 700
None of these
Answer: A
Question: For any a and b that satisfy |a – b| = b – a and a > 0, then |a + 5| + |-b| + |b – a| + |ab| =
Choices:
2a-2b
2a-2b-5
ab + 2b + 5
a-b-5
Answer: C
Question: In a can, there is a mixture of milk and water in the ratio 1 : 5. If it is filled with an additional 2 litres of milk the can would be full and ratio of milk and water would become 2 : 5. Find the capacity of the can?
Choices:
14
48
50
56
Answer: A
Question: A, B and C started a business with capitals of Rs. 8000, Rs. 10000 and Rs. 12000 respectively. At the end of the year, the profit share of B is Rs. 1500. The difference between the profit shares of A and C is?
Choices:
276
236
600
211
Answer: C
Question: Gold is 19 times as heavy as water and copper 9 times as heavy as water. The ratio in which these two metals be mixed so that the mixture is 15 times as heavy as water is:
Choices:
2 : 3
3 : 2
19: 135
None of these
Answer: B
Question: A began a business with Rs. 85,000. He was joined afterwards by B with Ks. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1 ?
Choices:
5 months
6 months
8 months
9 months
Answer: C
Question: The length of the bridge, which a train 160 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
Choices:
215 m
245 m
250 m
270 m
Answer: A
Question: In 1950, John was 4 times as old as Tom. In 1955, Richard was 3 times as old as Tom. In which year was John twice as old as Tom?
Choices:
1970
1972
1975
1980
Answer: A
Question: In the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30. In the sport formulation, the ratio of flavoring to corn syrup is three times as great as in the standard formulation, and the ratio of flavoring to water is half that of the standard formulation. If a large bottle of thesportformulation contains 5 ounces of corn syrup, how many ounces of water does it contain?
Choices:
30
45
75
90
Answer: C
Question: Alice has 3 times the number of stamps that Doris does and Jane has 7 stamps more than Doris does. If Alice, Doris, and Jane each increase their number of stamps by 4, which of the following must be true after each person increases her number of stamps?
Alice has more stamps than Jane.
Jane has 3 more stamps than Doris.
The sum of the numbers of stamps that Alice and Doris have is a multiple of 4.
Choices:
III only
I and III only
II and III only
I, II, and III
Answer: A
Question: What is the thousandths digit in the decimal equivalent of 43/5000?
Choices:
1
3
5
8
Answer: D
Question: Eesha bought two varities of rice costing 50Rs per kg and 60 Rs per kg and mixed them in some ratio.Then she sold that mixture at 70 Rs per kg making a profit of 20 % What was the ratio of the micxture?
Choices:
1 by 5
1 : 7
1 : 3
1 : 1
Answer: A
Question: A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
Choices:
279
120 metre
99
21
Answer: B
Question: A certain experimental mathematics program was tried out in 2 classes in each of 34 elementary schools and involved 40 teachers. Each of the classes had 1 teacher and each of the teachers taught at least 1, but not more than 3, of the classes. If the number of teachers who taught 3 classes is n, then the least and greatest possible values of n, respectively, are
Choices:
0 and 14
1 and 10
1 and 9
2 and 8
Answer: A
Question: In a pair of fractions, fractions A is twice the fraction B and the product of two fractions is 2/25. What is the value of fraction A?
Choices:
1/25
2/5
3/5
Data inadequate
Answer: B
Question: A boat running downstream covers a distance of 22 km in 4 hours while for covering the same distance upstream, it takes 5 hours. What is the speed of the boat in still water?
Choices:
4 kmph
4.75 kmph
4.95 kmph
4.65 kmph
Answer: C
Question: What is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad?
Choices:
814 tiles
100
200
456
Answer: A
Question: The product X of two prime numbers is between 17 and 55. If one of the prime numbers is greater than 2 but less than 6 and the other is greater than 13 but less than 25, then X =
Choices:
29
37
44
51
Answer: D
Question: In how many different ways can the letter of the word 'BOTTLE ' be arranged in such a way that the vowels occupy the odd positions?
Choices:
48
85
52
47
Answer: A
Question: Evaluate (51 + 52 + 53 + ... + 100)
Choices:
3775
3456
3459
3569
Answer: A
Question: The sum of two consecutive integers is 31. Find the numbers.
Choices:
7, 8
15, 16
1, 2
8, 9
Answer: B
Question: There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:
Choices:
80
100 students
200
120
Answer: B
Question: A number lock on a suitcase has 3 wheels each labelled with 10 digits from 0 to 9. If opening of the lock is a particular sequence of three digits with no repeats, how many such sequences will be possible?
Choices:
720
680
780
880
Answer: A
Question: The original price of a camera was displayed as a whole dollar amount. After adding sales tax of 8 percent, the final price was also a whole dollar amount. Which of the following could be the final price of the camera?
Choices:
$101
$100
$108
$109
Answer: C
Question: A candidate who gets 30% of the marks fails by 50 marks. But another candidate who gets 45% marks gets 25 marks more than necessary for passing. Find the number of marks for passing?
Choices:
200 Marks
186 Marks
187 Marks
167 Marks
Answer: A
Question: In a barrel of juice there is 30 liters; in a barrel of beer there are 50 liters. If the price ratio between barrels of juice to a barrel of beer is 3:4, what is the price ratio between one liter of juice and one liter of beer?
Choices:
2:1.
3:1.
4:3.
15:4
Answer: D
Question: If four coins are tossed, the probability of getting two heads and two tails is?
Choices:
3/8
3/7
3/56
3/1
Answer: A
Question: Barbara has 8 shirts and 10 pants. How many clothing combinations does Barbara have, if she doesn’t wear 2 specific shirts with 3 specific pants?
Choices:
66
36
70
84
Answer: D
Question: A tour group of 25 people paid a total of $630 for entrance to a museum. If this price included a 5% sales tax, and all the tickets cost the same amount, what was the face value of each ticket price without the sales tax?
Choices
Choices:
$23.94
$24
$25.20
$30
Answer: B
Question: After getting 2 successive discounts, a shirt with a list price of Rs 150 is available at Rs 105. If the second discount is 12.55,find the first discount
Choices:
15%
20%
12%
36%
Answer: B
Question: A father can do a certain job in x hours. His son takes twice as long to do the job. Working together, they can do the job in 6 hours. How many hours does the father take to do the job?
Choices:
9
12
20
16
Answer: A
Question: A 2-year certificate of deposit is purchased for Q dollars. If the certificate earns interest at a n annual rate of 6 percent compound quarterly, which of the following represents the value, in dollars, of the certificate at the end of 2 years?
Choices:
k(1.06)^8
k(1.015)^2
Q(1.015)^8
k(1.03)^4
Answer: C
Question: Walking 6/5 of his usual rate, a boy reaches his school 4 min early. Find his usual time to reach the school?
Choices:
99
27
24
20
Answer: C
Question: 12 persons can complete the work in 18 days. after working for 6 days, 4 more persons added to complete the work fast. in how many more days they will complete the work?
Choices:
9 days
8 days
7 days
6 days
Answer: A
Question: An investor invests in a new fund. The fund averages 20% growth annually for the first three years, but it loses 25% of its value in the fourth year. At the end of four years, the value of the fund is approximately what percent of the original amount?
Choices:
129.6%
123.5%
117.4%
112.6%
Answer: A
Question: If 0 < a < b and k = (2a + 6b)/b , which of the following must be true?
Choices:
k < 7
k < 8
k > 9
k > 11
Answer: B
Question: A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.78 less, he could have gained 25%. What is the cost price?
Choices:
s.375
s.375
s.390
s.300
Answer: C
Question: If 25% of a number exceeds 8% of it by 11.9, then find the number?
Choices:
70
55
65
22
Answer: A
Question: A CAR MOVES AT THE SPEED OF 80KM/HR. WHAT IS THE SPEED OF THE CAR IN METRES PER SECOND?
Choices:
20 1/9 m/sec
22 2/0 m/sec
Cannot be determined
None of these
Answer: B
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
5/3
5/2
Answer: A
Question: 6 2/3 * 9 3/5 * 2 1/3 + 1 1/3 = ?
Choices:
150 2/3
149 2/3
149 1/3
None of these
Answer: A
Question: Parameshwaran invested an amount of 12,000 at the simple interest rate of 10 pcpa and another amount at the simple interest rate of 20 pcpa. The total interest earned at the end of one year on the total amount invested became 14 pcpa. Find the total amount invested
Choices:
25,000
20,000
24,000
None of these
Answer: B
Question: P can do a work in 60 days. Q can do the same work in 9 days and R can do the same in 12 days. Q and R start the work and leave after 3 days. P finishes the remaining work in --- days.
Choices:
8
9
15
25
Answer: D
Question: If the price of 25 toys is 500, then what will the price of 10toys ?
Choices:
361
117
287
200
Answer: D
Question: There are 10 members from that a total of 6 men & 4 ladies a committee of 3 is to be formed. If Mrs. A is not willing to join the committee in which Mr. B is a member, whereas Mr.B is willing to join the committee only if Mrs C is included, how many such committee are possible?
Choices:
54
65
91
99
Answer: C
Question: The average of five integers is 71, and none of these integers is greater than 100. If the average of three of the integers is 76, what is the least possible value of one of the other two integers?
Choices:
15
20
21
27
Answer: D
Question: There are 8 books on a shelf that consist of 3 paperback books and 5 hardback books. If 4 books are selected at random without replacement, how many different combinations are there that at least one paperback book is selected?
Choices:
45
50
55
65
Answer: D
Question: In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is?
Choices:
1 hr
2 hr
6 hr
8 hr
Answer: A
Question: The price of a cycle is reduced by 25 per cent. The new price is reduced by a further 40 per cent. The two reductions together are equal to a single reduction of
Choices:
55%
35%
32.5%
30%
Answer: A
Question: One pump drains one-half of a pond in 8 hours, and then a second pump starts draining the pond. The two pumps working together finish emptying the pond in one-half hour. How long would it take the second pump to drain the pond if it had to do the job alone?
Choices:
1.1 hour
3 hours
5 hours
6 hours
Answer: A
Question: At what rate of compound interest per annum will a sum of $1200 becomes 1348.32 in 2 years?
Choices:
6%
7%
8%
10%
Answer: A
Question: The credit card and a global payment processing companies have been suffering losses for some time now. A well known company recently announced its quarterly results. According to the results, the revenue fell to $48.0 billion from $72.0 billion, a year ago. By what percent did the revenue fall?
Choices:
30.4
31.8
32.5
33.3
Answer: D
Question: If two numbers are in the ratio 5:2. If 20 is subtracted from both of the numbers then the ratio becomes 4:2 then find the smallest number?
Choices:
20
40
50
12
Answer: B
Question: A train 150 m long passes a man,running at 6 kmph in the direction opposite to that of the train,in 6 seconds.The speed of the train is
Choices:
60 kmph
66 kmph
72 kmph
84 kmph
Answer: D
Question: In his pocket, a boy has 3 red marbles, 5 blue marbles, and 5 green marbles. How many will he have to take out of his pocket to ensure that he has taken out at least one of each color?
Choices:
10
11
12
13
Answer: B
Question: Of 800 surveyed students, 20% of those who read book A also read book B and 25% of those who read book B also read book A. If each student read at least one of the books, what is the difference between the number of students who read only book A and the number of students who read only book B?
Choices:
25
30
55
100
Answer: D
Question: What is the ratio W of the surface area of a cube to the surface area of a rectangular solid identical to the cube in all ways except that its length has been doubled?
Choices:
3/8
1/2
3/5
2
Answer: C
Question: A fruit seller had some apples. He sells 40% apples and still he has 420. Originally he had how many apples?
Choices:
500
700
450
650
Answer: B
Question: If two girls starting from same point, walking in the opposite directions with 5km/hr and 10km/hr as average speeds respectively. Then the distance between them after 5 hours is?
Choices:
55
65
75
85
Answer: C
Question: Exactly 10% of the reporters for a certain wire service cover local politics in Country X. If 30% of the reporters who cover politics for the wire service do not cover local politics in Country X, what percent of the reporters for the wire service do not cover politics?
Choices:
42%
44%
85%
84%
Answer: C
Question: Mary sold boxes of butter cookies. Ann sold 5 times as much as she did. 18 boxes of cookies were sold that day, how many boxes did Mary sell?
Choices:
3
6
10
18
Answer: A
Question: The numbers of pizza slices that are sold in Joey's Pizza are only in quantities of 2 and 4 slices per customer. How many slices cannot be bought?
Choices:
38.
33.
22.
20.
Answer: B
Question: What will come in place of the x in the following Number series? 46080, 3840, 384, 48, ?, 2, 1
Choices:
3
5
8
9
Answer: C
Question: In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 3 boys when a boy gets any no. of prizes?
Choices:
58
64
65
27
Answer: D
Question: In a jar there are 3 golf balls and 2 ping pong balls. What is the probability of drawing at least one golf ball when drawing two consecutive balls randomly?
Choices:
1/2
3/5
9/10
16/20
Answer: C
Question: A train 360 m long runs with a speed of 45 km/hr. What time will it take to pass a platform of 150 m long?
Choices:
35 sec
44 sec
40.8 sec
none of these
Answer: C
Question: If x + y = 3 and x – y = 3, then x^2 - y^2 =
Choices:
4
10
9
40
Answer: C
Question: The average weight of 8 person's increases by 2.5 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:
76.5 kg
85 kg
Data inadequate
None of these
Answer: B
Question: A certain country had a total annual expenditure of $2.4 x 10^11 last year. If the population of the country was 240 million last year, what was the per capita expenditure?
Choices:
$1,000
$2,000
$3,000
$5,000
Answer: A
Question: A, B, C together started a business. A invested Rs.5000 for 5 months B invested Rs.3000 for 6 months and C Rs.7000 for 3 months. If they get a total profit of Rs.7600. Find the share of A?
Choices:
2500
2777
2999
17212
Answer: A
Question: A cycle is bought for Rs.900 and sold for Rs.1260, find the gain percent?
Choices:
40%
80%
30%
24%
Answer: A
Question: The sum of two numbers is 45. Sum of their quotient and reciprocal is 2.05, Find the product of the numbers.
Choices:
500
288
277
112
Answer: A
Question: For positive integers m and n, which of the following can be written as n^2?
Choices:
m+3
m+1
m+4
m-2
Answer: C
Question: A and B can together finish a work in 40days. They worked together for 10days and then B left. After another 6 days, A finished the remaining work. In how many days A alone can finish the job?
Choices:
25
60
8
20
Answer: C
Question: Jenny received a 10% raise each month for three consecutive months. What was her salary after the three raises if her starting salary was $2,000 per month?
Choices:
$2,300
$2,331
$2,410
$2,662
Answer: D
Question: A football team lost 5 yards and then gained 7. What is the team's progress?
Choices:
2
5
6
8
Answer: A
Question: A train , having a length of 275 meter is running at a speed of 60 kmph. In what time, it will pass a man who is running at 6 kmph in the direction opposite to that of the train
Choices:
8 sec
15 sec
4 sec
2 sec
Answer: B
Question: In an election between two candidates A and B, the number of valid votes received by A exceeds those received by B by 15% of the total number of votes polled. If 20% of the votes polled were invalid and a total of 8720 votes were polled, then how many valid votes did B get?
Choices:
2839
2834
2822
2823
Answer: B
Question: Rahim bought 65 books for Rs.1150 from one shop and 50 books for Rs.920 from another. What is the average price he paid per book ?
Choices:
18
99
277
22
Answer: A
Question: Solve for x: 2x – y = (3/4)x + 6.
Choices:
4(y + 6)/5
(y + 6)
4(y - 6)/5
5/4(y-6)
Answer: A
Question: The average of 9 numbers is 7 and the average of 7 other numbers is 6. What is the average of all 16 numbers?
Choices:
6 9/16
7 7⁄8
7 1⁄2
7 1⁄4
Answer: A
Question: A windmill is taking advantage of strong air currents in order to produce electrical energy. On a typical day the wind speed is around 20 mph and in that speed the windmill produces 800 kw/h (kilowatts per hour). On a stormy day a windmill produces 20% more energy. How much kw/h can three windmills produce in two hours on a stormy day?
Choices:
4860.
5780
5760
6380.
Answer: C
Question: 3x^2 - x - 4 =
Choices:
(3x-4)(x+2)
(3x-4)(x-3)
(3x-2)(x+1)
none of above
Answer: C
Question: In a garden, there are 10 rows and 12 columns of mango trees. The distance between the two trees is 2 metres and a distance of five metre is left from all sides of the boundary of the garden. What is the length of the garden?
Choices:
32
26
28
30
Answer: A
Question: What number is that, to which, if its half be added, and from the sum 20 be subtracted, the remainder will be a fourth of the number itself?
Choices:
16/2
16/4
16/1
None
Answer: B
Question: The greatest common factor of two positive integers is B. The least common multiple of these two integers is Y. If one of the integers is Z, what is the other?
Choices:
BY⁄Z
X⁄Z + Y
X + Y⁄Z
X + Z⁄Y
Answer: A
Question: A woman has four blouses of different colors, three skirts of different colors, and two different pairs of shoes. She refuses to wear her pink blouse with her green skirt. How many different blouseskirt-shoe combinations could she wear?
Choices:
22
16
17
18
Answer: A
Question: How many of the positive factors of 33 are not factors of 45?
Choices:
1
2
3
4
Answer: B
Question: A box contains ten bulbs out of which 5 are defective. If five bulbs are chosen at random, find the probability that atleast one bulb is good?
Choices:
251/252
258/259
265/266
247/248
Answer: A
Question: In how many ways can 5 people, A, B, C, D, E, be seated in a row such that C and D are not seated next to each other as well as A and B are not seated next to each other?
Choices:
396
576
24
696
Answer: C
Question: A box contains 3 blue marbles, 4 red, 5 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?
Choices:
1/364
1/91
4/455
None of these
Answer: A
Question: A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
Choices:
16 sec
18 sec
20 sec
25 sec
Answer: A
Question: The cost of carpeting a room 18m long with a carpet 75cm wide at 45 paise per meter is Rs.81. The breadth of the room is:
Choices:
7.5metre
5.5m
6.5m
8.5m
Answer: A
Question: The area of the floor of a room is 20 m2 that of a longer wall 15 m2 and of the shorter wall 12 m2, find the edge of the new cube?
Choices:
50 m3
60 m3
90 m3
40 m3
Answer: B
Question: -20 , -16 , -12 , -8 ....
In the sequence above, each term after the first is 5 greater than the preceding term. Which of the following could not be a term in the sequence?
Choices:
200
440
665
762
Answer: D
Question: The price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay ?
Choices:
2400
4800
Cannot be determined
None
Answer: A
Question: How many integers, greater than 999 but not greater than 4000, can be formed with the digits 0, 1, 2, 3 and 4, if repetition of digits is allowed?
Choices:
376
297
268
198
Answer: A
Question: It costs $2 for the first 1/6 hour to use the laundry machine at the Laundromat. After the first ¼ hour it costs $15 per hour. If a certain customer uses the laundry machine for 2 hours and 25 minutes, how much will it cost him?
Choices:
$40.25.
$38.25.
$36.25.
$34.25
Answer: B
Question: The events A and B are independent, the probability that event A occurs is greater than 0, and the probability that event A occurs is twice the probability that event B occurs. The probability that at least one of events A and B occurs is 5 times the probability that both events A and B occur. What is the probability that event A occurs?
Choices:
1/2
1/8
2/3
2/11
Answer: A
Question: If A is the set of numbers possible for the eighth term in a sequence of eight consecutive integers that has 6 as its fourth term, which of the following is A?
Choices:
2 and 10
2 and 9
3 and 9
3 and 10
Answer: A