antoine-444/aqua_rat_dataset huggingface dataset:
Question: There are 5 sweets – Milk peda, Ice cream, Rasagulla Paper sweet and Rasamalai that I wish to eat on 5 consecutive days – Monday through Friday, one sweet a day, based on the following self imposed constraints:
1) Paper sweet is not eaten on Monday
2) If Milk peda is eaten on Monday, then Paper sweet must be eaten on Friday
3) If Paper sweet is eaten on Tuesday, Ice cream should be eaten on Monday
4) Rasagulla should be eaten on the day preceding to the day of eating Milk peda.
Based on the above, Rasagulla can be eaten on any day except?
Choices:
Monday
Wednesday
Friday
Sunday
Answer: C
Question: Average of all prime numbers between 35 to 50
Choices:
42
39
39.8
40
Answer: A
Question: If a bicyclist in motion increases his speed by 30 percent and then increases this speed by 10 percent, what percent of the original speed is the total increase in speed?
Choices:
40%
43%
64%
140%
Answer: B
Question: Find the least number with which 16200 should be multiplied, to make it a perfect cube.
Choices:
48
45
360
55
Answer: B
Question: A train 280 m long passed a pole in 28 sec. How long will it take to pass a platform 650 m long?
Choices:
93 sec
54 sec
27 sec
22 sec
Answer: A
Question: What is the remainder when you divide 2^200-3 by 7?
Choices:
1
3
4
5
Answer: A
Question: A particular library has 75 books in a special collection, all of which were in the library at the beginning of the month. These book are occasionally loaned out through an inter-library program. If, by the end of the month, 60 percent of books that were loaned out are returned and there are 65 books in the special collection at that time, how many books of the special collection were loaned out during that month?
Choices:
25
35
40
55
Answer: A
Question: The ratio of the number of students appearing for examination in the year 1998 in the states A, Band C was 3 : 5 : 6. Next year if the number of students in these states increases by 20%, 10% and 20% respectively, the ratio in states A and C would be 1 : 2. What was the number of students who appeared for the examination in the state A in 1998?
Choices:
6000
7500
Data inadequate
None of these
Answer: C
Question: How many positive integers less than 5,000 are evenly divisible by neither 15 nor 20?
Choices:
4,477
4,521
4,428
4,349
Answer: A
Question: If the sum of the first n positive integers is S, what is the sum of the first n positive integers divisible by 4, in terms of S ?
Choices:
S
2S
2S + 2
4S
Answer: D
Question: In what proportion water must be added to spirit to gain 20% by selling it at the cost price ?
Choices:
1 : 1
1 : 5
1 : 3
1 : 4
Answer: B
Question: 12 men working 8 hours per day complete a piece of work in 10 days.To complete the same work in 8 days,working 15 hours a day,the number of men required,is
Choices:
5
6
8
7
Answer: C
Question: There are 5 red shoes & 4 green shoes . If two of red shoes are drawn what is the probability of getting red shoes
Choices:
1/14
5/18
1/15
1/16
Answer: B
Question: What is the remainder if 7^3 is divided by 100?
Choices:
35
42
41
43
Answer: D
Question: 40% of Ram's marks is equal to 20% of Rahim's marks which percent is equal to 30% of Robert's marks. If Robert's marks is 80, then find the average marks of Ram and Rahim?
Choices:
87
87
90
77
Answer: C
Question: What is the units digit of (3^11)(4^13)?
Choices:
2
6
7
8
Answer: A
Question: A space shuttle orbits the earth at about 2 kilometers per second. This speed is equal to how many kilometers per hour?
Choices:
7,200
10,800
28,800
48,000
Answer: A
Question: A five digit number is to be formed using each of the digits 1, 2, 3, 4 and 5 ONLY ONCE. How many numbers can be formed when 3 and 5 are not together ?
Choices:
72
48
60
120
Answer: A
Question: FOG + FOG + FOG + FOG = 1456.
If F,O and G are digits in a three-digit number in the preceding equation the F + O + G = ?
Choices:
12
13
14
15
Answer: B
Question: Which of the following is closer to (23!+22!)/(23!-22!)?
Choices:
36
25
16
1
Answer: D
Question: Which of the following fractions is at least thrice greater than 7/50?
Choices:
11/34
43/99
8/21
9/20
Answer: B
Question: 36 * 36 * 36 = 6^ ?
Choices:
2
6
1
5
Answer: B
Question: The number 523rbc is divisible by 7,8,9. Then what is the value of r*b*c
Choices:
532
210
180
280
Answer: C
Question: A is a working partner and B is a sleeping partner in a business. A puts in 60,000 and B 40,000. A gets 20% of the profit for managing the business, and the rest is divided in proportion to their capitals. Find the share of A in profit of 10000.
Choices:
6800
4800
6500
None of these
Answer: A
Question: A train 480 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
Choices:
108 kmph
54 kmph
71 kmph
88 kmph
Answer: A
Question: A certain hall contains two cuckoo clocks. If the first clock chirps 20 times per hour and the second clock chirps 8 times per hour, and both clocks chirp for the first time at 2:03 pm, at what time will the first clock have chirped three times as many times as the second clock can chirp per hour?
Choices:
2:55 pm
3:12 pm
3:24 pm
3:45 pm
Answer: B
Question: The G.C.D. of 1.08, 0.36 and 0.3 is?
Choices:
0.06
0.18
0.108
none of these
Answer: A
Question: If n is an integer and n^4 is divisible by 8, which of the following could be the remainder when n is divided by 8?
Choices:
2
3
5
6
Answer: A
Question: what is next number in sequence
212 427 303 336 394 ?
Choices:
345
560
567
245
Answer: D
Question: In a 200m race, if A gives B a start of 25 metres, then A wins the race by 10 seconds. Alternatively, if A gives B a start of 45 metres the race ends in a dead heat. How long does A take to run 200m?
Choices:
112.5 seconds
77.5 seconds
87.5 seconds
None
Answer: B
Question: A bus can hold 40 passengers. If there are 10 rows of seats on the bus, how many seats are in each row?
Choices:
2
4
6
5
Answer: B
Question: The first three terms of a proportion are 2, 8 and 16. The fourth term is?
Choices:
64
67
60
88
Answer: A
Question: The population of a town is 10000. It increases annually at the rate of 25% p.a. What will be its population after 2 years?
Choices:
14400
14500
15625
14700
Answer: C
Question: If (t-8) is a factor of t^2-kt-47, then k=
Choices:
12
2
6
14
Answer: C
Question: There are 3 red chips and 2 blue ones. When arranged in a row, they form a certain color pattern, for example RBRRB. How many color patterns?
Choices:
10
24
60
100
Answer: A
Question: What annual payment dischargea debit of Rs.12900, due in 4yrs.At 5% rate?
Choices:
2200
3000
3400
3500
Answer: B
Question: A number is such when, twice the number is divided by 3d it gives a remainder as 20. And when five times of it is divided by 4d it gives remainder as 32. Find the value of d.
Choices:
14
15
16
17
Answer: A
Question: Carmelo and LeBron participate in a seven-person footrace on the basketball court during All-Star Weekend. If all seven contestants finish (including Charles Barkley) and there are no ties, how many different arrangements of finishes are there in which Carmelo defeats LeBron?
Choices:
2520
720
120
42
Answer: A
Question: A convoy of 7 trucks, each 22 meters in length, pass through a construction zone 1/2 km long. Through the construction zone, they travel 3 m/s maintaining a distance of five meters between them. How long does it take for the entire convoy to make it through the zone?
Choices:
3 min 48 sec
4 min 12 sec
4 min 20 sec
4 min 36 sec
Answer: A
Question: At a certain diner, Joe ordered 3 doughnuts and a cup of coffee and was charged $ 2.25. Stella ordered 2 doughnuts and a cup of coffee and was charged $ 1.75. What is the price of 2 doughnuts?
Choices:
$ 1.00
$ 1.10
$ 1.30
$ 1.80
Answer: A
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are drawn at random, what is the probability that at least one is green?
Choices:
9/8
23/35
4/12
6/89
Answer: B
Question: A pharmaceutical company received $4 million in royalties on the first $22 million in sales of generic equivalent of one of its products and then $8 million in royalties on the next $88 million in sales. By approximately what percent did the ratio of royalties to sales decrease from the first $22 million in sales to the next $92 million in sales?
Choices:
25%
30%
45%
50%
Answer: D
Question: Square RSTU shown above is rotated in a plane about its center in a clockwise direction the minimum number of degrees necessary for U to be in the position where R is now shown. The number of degrees through which RSTU is rotated is
Choices:
180 degree
90 degree
270 degree
315 degree
Answer: B
Question: If 2 tables and 3 chairs cost Rs, 3500 and 3 tables and 2 chairs cost Rs. 4000, then how much does a table cost ?
Choices:
1000
1500
2000
None of these
Answer: A
Question: A present value of a machine is $400. Its value depletiation rate is 25% per annum then find the machine value after 2 years?
Choices:
$100
$200
$215
$225
Answer: D
Question: In a competitive examination in State A, 6% candidates got selected from the total appeared candidates. State B had an equal number of candidates appeared and 7% candidates got selected with 84 more candidates got selected than A. What was the number of candidates appeared from each State?
Choices:
8400
6000
5000
4000
Answer: A
Question: A clock is set right at 5 a.m. The clock loses 16 minutes in 24 hours.What will be the true time when the clock indicates 10 p.m. on 4th day?
Choices:
11
62
62
82
Answer: A
Question: The roof of an apartment building is rectangular and its length is 4 times longer than its width. If the area of the roof is 900 feet squared, what is the difference between the length and the width of the roof?
Choices:
40.
42.
45.
46.
Answer: C
Question: (786×74) ÷ ? = 1938.8
Choices:
B)48
C)30
D)68
E)48
Answer: B
Question: Find the value of y from (12)^3 x 6^4÷432 =y?
Choices:
4765
4879
6789
5184
Answer: D
Question: A 600 meter long train crosses a signal post in 60 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?
Choices:
2 min
6 min
9 min
5 min
Answer: B
Question: It takes 4 tons of copper ore and 6 tons of iron ore to make one ton of alloy A. How many tons of alloy A can be made from 60 tons of copper ore and 90 tons of iron ore?
Choices:
15
20
30
50
Answer: A
Question: The area of one square is x^2 + 6x + 9 and the area of another square is 4x^2 − 28x + 49. If the sum of the perimeters of both squares is 56, what is the value of x?
Choices:
4
5
6
7
Answer: C
Question: Antonio works in a bakery. He made cookies that cost $3 and made $300. How many customer did he have?
Choices:
100 customers
250 customers
200customers
270 customers
Answer: A
Question: Taylor is making a bracelet. He Starts with 4 blue knots, 4 red knots, and 2 yellow knots, in that order, and repeats the pattern until there is no more string. If the last Knot is yellow which of the following could be the total number of knots on the bracelet.
Choices:
90
95
97
79
Answer: D
Question: A goods train runs at the speed of 72 kmph and crosses a 250m long platform in 26seconds. what is the length of the goods train?
Choices:
240 m
260 m
270 m
250 m
Answer: C
Question: If an average hard drive had a capacity of 0.1 TB in 2000, and average hard drive capacities double every 5 years, what will be the average hard drive capacity in 2050?
Choices:
512
768
1024
1536
Answer: C
Question: A box contains 24 electric bulbs, out of which 4 are defective. Two bulbs are chosen at random from this box. The probability that at least one of these is defective is
Choices:
7/19
12/19
24/77
None
Answer: C
Question: The division of a whole number N by 13 gives a quotient of 15 and a remainder of 2. Find N.
Choices:
197
200
250
210
Answer: A
Question: The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?
Choices:
1 : 96
1 : 84
1 : 68
None of these
Answer: A
Question: A and B can do a piece of work in 45 days and 40 days respectively. They began to do the work together but A leaves after some days and then B completed the remaining work in 23 days. The number of days after which A left the work was?
Choices:
11
10
9
8
Answer: C
Question: A car ferry can hold up to 70 tons of cargo. What is the greatest number of vehicles that the ferry can carry if half the vehicles are cars with an average (arithmetic mean) weight of 0.75 tons and half of the vehicles are trucks with an average (arithmetic mean) weight of 4 tons?
Choices:
20
28
32
36
Answer: B
Question: Find the exact time between 7 am and 8 am when the two hands of a watch meet ?
Choices:
7 hrs 36.99 min
7 hrs 38.18 min
7 hrs 42.6 min
None of these
Answer: B
Question: Jerry went to a shop and bought things worth Rs. 35, out of which 30 % went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choices:
19.7
21.3
21.5
29.7
Answer: D
Question: Of the 800 employees of Company P, 60 percent have been with the company for at least ten years. If q of theselong-termmembers were to retire and no other employee changes were to occur, what value of q would reduce the percent oflong-termemployees in the company to 50 percent ?
Choices:
160
112
80
56
Answer: A
Question: Three cricket players -- Ramesh, Suresh and Ganesh play for three different cricket Teams Haryana, Delhi and Rajasthan respectively. Ramesh was born in Chennai but brought up in Karnal, Haryana. Suresh was born in Delhi and brought up in Delhi. Ganesh's fore-fathers were from Madurai but settled in Rajasthan. All the three participated in a cricket tournament. Ramesh's runs to Suresh's runs and Suresh's runs to Ganesh's runs are in the ratio 5:7. If the total runs scored by all the three players in the tournament is 327, find the total runs scored by Suresh in the tournament?
Choices:
85
65
105
115
Answer: C
Question: Two trains, each 100 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is?
Choices:
50
60
70
80
Answer: B
Question: Sinha and Mitra started a business by investing Rs.52000 and Rs.55000 respectively, after three months Mitra invested Rs.5000 more in the business. What is the share of Mitra in the half year profit of Rs.26280
Choices:
12000
14200
13980
13800
Answer: D
Question: A collector collects stamps from foreign countries. In June, she gave 20 percent of her stamps to her friend. In July, she gave 10 percent of her remaining stamps to another friend. If these were the only changes in the number of stamps in the stamp collection during those two months, what percent of her collection at the beginning of June did she give to away in June and July?
Choices:
24%
28%
32%
36%
Answer: B
Question: Carol and Jordan draw rectangles of equal area. If Carol's rectangle measures 8 inches by 15 inches and Jordan's rectangle is 4 inches long, how wide is Jordan's rectangle, in inches?
Choices:
26
28
30
32
Answer: C
Question: Peter rolls two dice at the same time. What is the probability that the total sum of numbers on the dices is 3?
Choices:
b) 1/36
c) 1/6
d) 1/18
e) 1/3
Answer: C
Question: Let A = {x: x is a natural number and a factor of 18}
B= {x: x is a natural number and less than 6}
Find A ∪ B and A ∩ B
Choices:
A ∩ B = {1,2,3}
A ∪ B = {5,7,9}
A ∪ B = {1,2,3}
A ∪ B = {2,5,4}
Answer: A
Question: How much greater is the combined area in square inches of the front and back of a rectangular sheet of paper measuring 11 inches by 9 inches than that of a rectangular sheet of paper measuring 4.5 inches by 11 inches?
Choices:
87%
100%
187%
200%
Answer: B
Question: 756 can be expressed as a product of primes as
Choices:
2 × 3 × 3 × 3 × 7 × 7
2 × 2 × 2 × 3 × 3 × 7
2 × 2 × 3 × 3 × 3 × 7
None of these
Answer: C
Question: The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?
Choices:
12
30
98
15
Answer: B
Question: Look at this series: 1000, 200, 40, ... What number should come next?
Choices:
10
15
18
8
Answer: D
Question: A box contains 4 yellow balls and 5 black balls. One by one, every ball is selected at random without replacement. What is the probability that the fourth ball selected is black?
Choices:
3/7
5/9
2/3
3/4
Answer: B
Question: A team has to design a flag. The team two yellow strips of cloth and four 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:
15
240
288
720
Answer: A
Question: Due to construction, the speed limit along an 5-mile section of highway is reduced from 60 miles per hour to 40 miles per hour. Approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ?
Choices:
B) 2.5
C) 10
D) 15
E) 24
Answer: A
Question: Two trains 140 m and 170 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Choices:
11.16 sec
53.8 sec
10.8 sec
10.4 sec
Answer: A
Question: If the perimeter of a rectangular garden is 600 m, its length when its breadth is 150 m is?
Choices:
150 m
200 m
166 m
187 m
Answer: A
Question: What is the least number that should be added to 1053, so the sum of the number is divisible by 23?
Choices:
2
3
4
5
Answer: D
Question: Find a sum for 1st 5 prime number's?
Choices:
28
30
34
36
Answer: A
Question: In a ranch, the total number of black horses is 18% more than the number of male black horses. The total number of female horses is 16 times the number of black female horses. What percentage of male horses are black if the total number of male horses is double the number of female horses?
Choices:
17.4
19.2
22.9
50.6
Answer: A
Question: In a shop, the cost of 4 shirts, 4 pairs of trousers and 2 hats is $560. The cost of 9 shirts, 9 pairs of trousers and 6 hats is $1,290. What is the total cost of 1 shirt, 1 pair of trousers and 1 hat?
Choices:
120$
130$
140$
150$
Answer: D
Question: 49 x 49 x 49 x 49 = 7?
Choices:
7
8
16
20
Answer: B
Question: A bag consists of 60 marbles, of which 5 are blue, 9 are red, and the remainder are white. If Lisa is to select a marble from the bag at random, what is the probability that the marble will be red or white?
Choices:
11/12
1/4
1/8
1/16
Answer: A
Question: Harriet planned to complete a certain task on Wednesday, January 1, but because of illness the completion date was postponed 43 days. On which day of the week in February was the task completed?
Choices:
Tuesday
Wednesday
Thursday
Friday
Answer: C
Question: A cube of side 8 meter length is cut into small cubes of side 16 cm each. How many such small cubes can be obtained?
Choices:
127600
125000
152000
10000
Answer: B
Question: Set X consists of the integers from 0 to 12, inclusive, while set Y consists of the integers from 6 to 10, inclusive. How many distinct integers do belong to the both sets at the same time?
Choices:
10
5
9
8
Answer: B
Question: Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 110 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 7 km/h, what is the distance traveled by Brad?
Choices:
18
20
70
30
Answer: C
Question: A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12500 after a year?
Choices:
3637
3630
3750
3635
Answer: C
Question: Mudit's age 30 years hence will be thrice his age four years ago. Find Mudit's present age?
Choices:
19
27
21
15
Answer: C
Question: Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit ?
Choices:
10,512
10,110
10,500
10,511
Answer: C
Question: The probability that a man will be alive for 10more yrs is 1/4 & the probability that his wife will alive for 10 more yrs is 1/3. The probability that none of them will be alive for 10 more yrs, is
Choices:
1/2
3/2
3/5
1/3
Answer: A
Question: If a number x is in octal form and having zero as unit place then if we change that number x in decimal form then what is the probability that number x having zero as unit place?
Choices:
11/64
11/66
11/64
11/61
Answer: A
Question: If the average (arithmetic mean) of the four numbers K + 1, 2K + 3, 3K – 5 and 5K + 1 is 63, what is the value of K?
Choices:
15 3/4
22
23
22 10/11
Answer: D
Question: A small company employs 5 men and 3 women. If a team of 4 employees is to be randomly selected to organize the company retreat, what is the probability that the team will have exactly 2 women?
Choices:
1/7
2/7
1/2
3/7
Answer: D
Question: A wheel rotates 10 times every minute and moves 30 cm during each rotation. How many metres does
the wheel move in one hour?
Choices:
18 metre
180 metre
1800 metre
2200 metre
Answer: B
Question: A is a working partner and B is a sleeping partner in the business. A puts in Rs.15000 and B Rs.25000, A receives 10% of the profit for managing the business the rest being divided in proportion of their capitals. Out of a total profit of Rs.9600, money received by A is?
Choices:
1827
1199
4200
1781
Answer: C
Question: 15 litres of mixture contains 20% alcohol and the rest water. If 2litres of water be mixed with it, the percentage of alcohol in the new mixture would be?
Choices:
23%
18.3%
17.64%
21.23%
Answer: C
Question: A committee is composed of w women and m men. If 3 women and 2 men are added to the committee, and if one person is selected at random from the enlarged committee, then the probability that a woman is selected can be represented by
Choices:
w/(w+m)
(w+3)/(m+2)
(w+3)/(w+m+3)
(w+3)/(w+m+5)
Answer: D
Question: The output of a factory was increased by 10% to keep up with rising demand. To handle the holiday rush, this new output was increased by 30%. By approximately what percent would the output now have to be decreased in order to restore the original output?
Choices:
24%
30%
32%
79%
Answer: B
Question: What is the product of all the possible values of x if x^2(x + 2) + 7x(x + 2) + 6(x + 2) = 0?
Choices:
–12
12
29
168
Answer: A
Question: A jogger running at 9 kmph alongside a railway track in 240 meters ahead of the engine of a 120 metres long train running at 45 kmph in the same direction . in how much time will the train pass the jogger ?
Choices:
26 seconds
36 seconds
16 seconds
46 seconds
Answer: B
Question: The side of a square is increased by 15% then how much % does its area increases?
Choices:
56.25
50.75
32.25
52.75
Answer: C
Question: A crate of apples contains 1 bruised apple for every 25 apples in the crate. Three out of every 4 bruised apples are considered not fit to sell, and every apple that is not fit to sell is bruised. If there are 12 apples not fit to sell in the crate, how many apples are there in the crate?
Choices:
360
480
600
400
Answer: D
Question: set s contains the following numbers 10, 14, 19, 27, 36, 49, 67, 70,94. It was found that Mark had inadvertently interchanged the digits of one of the numbers. Steve, in charge of statistics, rectified this error, and as a result mean and median were changed and the shift in mean was of 5.
Whats the number that was incorrectly noted?
Choices:
49
94
27
41
Answer: C
Question: Let C be defined as the sum of all prime numbers between 0 and 28. What is C/3
Choices:
100/3
61
47
43
Answer: A
Question: A salesman's income consists of a commission and a base salary of $350 per week. Over the past 5 weeks, his weekly income totals have been $406, $413, $420, $436 and $495. What must his average (arithmetic mean) commission be per week over the next two weeks so that his average weekly income is $500 over the 7-week period?
Choices:
$315
$365
$715
$730
Answer: A
Question: Tanks P and B are each in the shape of a right circular cylinder. The interior of tank P has a height of 10 meters and a circumference of 8 meters, and the interior of tank B has a height of 8 meters and a circumference of 10 meters. The capacity of tank P is what percent of the capacity of tank B?
Choices:
80%
100%
120%
125%
Answer: A
Question: In how many different ways can the letters of the word 'HEALTH' be arranged?
Choices:
20 ways
30 ways
60 ways
360 ways
Answer: D
Question: The sector of a circle has radius of 21 cm and central angle 135o. Find its perimeter?
Choices:
91.5 cm
99.5 cm
91.6 cm
91.3 cm
Answer: A
Question: Chris wants to pay back his debt to the bank. He has already paid back 60% of the initial debt. His family offered to help by paying 33% of the initial debt, so now he only needs an additional $105 in order to pay off the debt. What was the initial amount of the debt Chris owed to the bank?
Choices:
$1,500
$2,500
$3,000
None
Answer: A
Question: The length of a rectangular garden is 2 feet longer than 3 times its width. If the perimeter of the garden is 100 feet, find the length of the garden.
Choices:
38
28
57
49
Answer: A
Question: Worker A takes 8 hours to do a job. Worker B takes 10 hours to do a job. How long should it take both A and B, working together to do same job.
Choices:
2 4/9
3 4/9
4 4/9
None of these
Answer: C
Question: A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 47, the how old is B?
Choices:
9
18
11
10
Answer: B
Question: Train T leaves New York at 7:00 am traveling to Boston at 80mph. Train B leaves Boston at 7:45 am traveling to New York at 70 mph on a parallel track. If the distance between New York and Boston is 210 miles, at what time will the two trains pass each other?
Choices:
8:45 am
9:00 am
9:30 am
Cannot be determined from the information given
Answer: A
Question: How many seconds will a train 150 meters long take to cross a bridge 200 meters long if the speed of the train is 54 kmph?
Choices:
21 sec
23.3 sec
27.5 sec
29 sec
Answer: B
Question: Amit and Ravi invested capitals in the ratio 5:4. At the end of 8 months Amit withdrew and they got equal profits. Find for how long Ravi invested his money?
Choices:
6 months
10 months
12 months
None
Answer: B
Question: Mike took a taxi to the airport and paid $2.50 to start plus $0.25 per mile. Annie took a different route to the airport and paid $2.50 plus $5.00 in bridge toll fees plus $0.25 per mile. If each was charged exactly the same amount, and Annie's ride was 26 miles, how many miles was Mike's ride?
Choices:
30
36
46
54
Answer: C
Question: Evaluate: 10111 - 10*2*5 = ?
Choices:
10101
11100
11001
11011
Answer: A
Question: Two pipes can fill a tank in 18 minutes and 30 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
Choices:
1/15
1/11
1/10
1/12
Answer: A
Question: Find the average of the first 20 natural numbers?
Choices:
10.0
10.4
10.5
10.2
Answer: C
Question: What will come in place of the question mark (?) in the following equation?
25(7.5) × 5(2.5) ÷ 125(1.5) = 5?
Choices:
17.5
8.5
?=13
None of these
Answer: C
Question: Two men can fill the tank in 5hr and 4hr respectively, while the third empty it in 20hr. If all pipes are opened simultaneously, then the tank will be filled in
Choices:
2.5
3
3.5
3.7
Answer: A
Question: If z is three times larger than n , and if 2n+3 is 20% of 25, what is the value of ?
Choices:
2
3
6
12
Answer: B
Question: 3/5 of all married couples have more than one child. 1/2 of all married couples have more than 3 children. What fraction of all married couples have 2 or 3 children?
Choices:
1/10
7/20
3/5
It cannot be determined from the given information.
Answer: A
Question: The number of degrees that the hour hand of a clock moves through between noon and 2.30 in the afternoon of the same day is
Choices:
180
75
65
60
Answer: B
Question: An electric motor makes 4,800 revolutions per minutes. How many degrees does it rotate in one second?
Choices:
28.800 d/sec
38.000 d/sec
26.000 d/sec
35.000 d/sec
Answer: A
Question: On dividing a number by 5, we get 3 as remainder. What will the remainder when the square of the this number is divided by 5 ?
Choices:
1 Remainder
2 Remainder
4 Remainder
5 Remainder
Answer: C
Question: In how many ways a committee, consisting of 5 men and 6 women can be formed from 8men and 10 women?
Choices:
11760
12450
12666
13250
Answer: A
Question: Five A-list actresses are vying for the three leading roles in the new film, "Catfight in Denmark." The actresses are Julia Robards, Merly Strep, Sally Fieldstone, Lauren Bake-all, and Hallie Strawberry. Assuming that no actresses has any advantage in getting any role, what is the probability that Julia and Hallie will star in the film together?
Choices:
3/10
6/10
3/5
1/125
Answer: A
Question: In the faculty of Reverse-Engineering, 240 second year students study numeric methods, 423 second year students study automatic control of airborne vehicles and 134 second year students study them both. How many students are there in the faculty if the second year students are approximately 80% of the total?
Choices:
545.
661.
644.
666.
Answer: B
Question: In 1990 the budgets for projects Q and V were $700,000 and $780,000, respectively. In each of the next 10 years, the budget for Q was increased by $30,000 and the budget for V was decreased by $10,000. In which year was the budget for Q equal to the budget for V ?
Choices:
1992
1994
1995
1996
Answer: A
Question: Jean drew a gumball at random from a jar of pink and blue gumballs. Since the gumball she selected was blue and she wanted a pink one, she replaced it and drew another. The second gumball also happened to be blue and she replaced it as well. If the probability of her drawing the two blue gumballs was 25/36, what is the probability that the next one she draws will be pink?
Choices:
1/6
3/7
16/49
40/49
Answer: A
Question: In how many different number of ways 4 boys and 3 girls can sit on a bench such that girls always sit together?
Choices:
720
800
820
840
Answer: A
Question: Given the two equations 7r + 2s = 43 and 4r - 3s = 8, by how much does r exceed s?
Choices:
1
5
6
7
Answer: A
Question: If 3 workers collect 48 kg of cotton in 4 days, how many kg of cotton will 9 workers collect in 2 days?
Choices:
67 kg
72 kg
87 kg
46 kg
Answer: B
Question: Two trains, each 100 m long, moving in opposite directions, cross other in 10 sec. If one is moving twice as fast the other, then the speed of the faster train is?
Choices:
98
48
88
12
Answer: B
Question: What is the simplified result of following the steps below in order?
(1)	add 5y to 2v
(2)	multiply the sum by 3
(3)	subtract v + y from the product
Choices:
5v + 14y
5x + 5y
6x + 4y
3x + 12y
Answer: A
Question: A car started running at a speed of 30 km/hr and the speed of the car was increased by 2 km/hr at the end of every hour. Find the total distance covered by the car in the first 10 hours of the journey?
Choices:
390
287
266
161
Answer: A
Question: Of the 13 employees in a certain department, 1 has an annual salary of 38,000, 2 have an annual salary of 45,700 each, 2 have an annual salary of 42,500 each, 3 have an annual salary of 40,000 each and 5 have an annual salary of 48,500 each. What is the median annual salary for the 13 employees?
Choices:
40,000
42,500
45,700
48,500
Answer: C
Question: A man invested Rs. 1552 in a stock at 97 to obtain an income of Rs. 128. The dividend from the stock is:
Choices:
8%
9.7%
8.7%
None of these
Answer: A
Question: In 1995, the Johns spent $800 on the family’s water bills. Anticipating that water rates would increase in 1996 by 50%, the Johns cut back their water usage. By how much must the Johns have reduce their 1996 water usage to pay exactly the same amount in 1996 as they paid in 1995?
Choices:
a)	33 1/3 %
c) 50 %
d)	66 2/3 %
e)	100 %
Answer: A
Question: If two resistors, A(R1) and B(R2) stand in parallel with each other in electrical wire, the total resistor appears as R1R2/(R1+R2). If three resistors, A(R1), B(R2), and C(2R2) stand in parallel in electrical wire, what is the ratio V of the resistors’ sum of A and C to the resistors’ sum of A and B?
Choices:
2(R1+R2):(R1+2R2)
(2R1+R2):(R1+2R2)
2(R1+R2):(2R1+R2)
2(R1-R2):(R1+2R2)
Answer: A
Question: How many seconds will a 220 metre long train take to cross a man running with a speed of 8 km/hr in the direction of the moving train if the speed of the train is 80 km/hr?
Choices:
30
40
11
60
Answer: C
Question: 4 bells first begin to toll together with an intervals of 5, 10, 15 & 20 sec. How many times does they toll together in an hr?
Choices:
60
80
90
110
Answer: A
Question: A man rides at the rate of 30km/hr. But stops 30minutes to change horses at the end of every 25th kilometer. How long will he take to go a distance of 150 kilometers?
Choices:
7hr 30min
8hr 10min
7hr 20min
9hr
Answer: A
Question: a spider web consists of 3 concurrent lines forming radial support for 20 concentric regular hexagon .the hexagon vertices are 5mm from their immidiate neighbour. if the innermost hexagon has a side length 3mm how many meters is the length of the entire web including the 3 diagonals ?
Choices:
6.3
7.2
8.2
9.2
Answer: A
Question: 39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 15 persons, working 6 hours a day, complete the work?
Choices:
13
14
26
16
Answer: C
Question: A man can row upstream at 5 kmph and downstream at 25kmph, and then find the speed of the man in still water?
Choices:
15
30
88
34
Answer: A
Question: Anthony and Michael sit on the six member board of directors for company X. If the board is to be split up into 2 three-person subcommittees, what percent W of all the possible subcommittees that include Michael also include Anthony?
Choices:
30%
40%
50%
60%
Answer: B
Question: Right triangle PQR is the base of the prism in the figure above. If PQ=PR=âˆš5 and the height of the prism is 10, what is the volume of the prism?
Choices:
10
15
20
25
Answer: D
Question: The height of the wall is 6 times its width and length of the wall is 8 times its height .if the volume of the wall be 36000 cu.m.its width is
Choices:
5m
6m
7m
8m
Answer: A
Question: A cricket bat is sold for $900, making a profit of $150. The profit percentage would be
Choices:
20%
30%
36%
40%
Answer: A
Question: The average weight of a group of boys is 20 kg. After a boy of weight 32 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
Choices:
11
18
24
10
Answer: A
Question: A shopkeeper buys mangoes at the rate of 5 a rupee and sells them at 3 a rupee. Find his net profit or loss percent?
Choices:
33 1/7 %
40 %
32 1/3 %
50 %
Answer: B
Question: The cost of10 kgs. of sugar is Rs.300. What is the cost of .200kgs. of sugar?
Choices:
Rs.50
Rs.5
Rs.6
Rs.60
Answer: C
Question: A does a work in 10 days and B does the same work in 15 days. In how many days they together will do the same work ?
Choices:
6 days
7 days
8 days
9 days
Answer: A
Question: A man can hit the target once in four shots. If he fires two shots in succession, what is the probability that he will hit the target?
Choices:
7/16
81/256
175/256
185/256
Answer: A
Question: 12 times a positive integer is more than its square by 36, then the positive integer is
Choices:
6
11
12
14
Answer: A
Question: pipes P and Q would fill a cistern 18 and 24 minutes respectively. Both pipes being opened, find when the first pipe must be turned off so that the cistern may be just filled in 12 minutes?
Choices:
9
8
7
5
Answer: A
Question: Machines P and Q are two different machines that cover jars in machine shop. When Machine P works alone, it covers 5 jars in m hours. When Machines P and Q work simultaneously at their respective rates, they cover 5 jars in n hours. In terms of m and n, how many hours does it take Machine Q, working alone at its constant rate, to cover 5 jars?
Choices:
n
m+n
5n/25-mn
m-n
Answer: C
Question: Free notebooks were distributed equally among children of a class. The number of notebooks each child got was one-eighth of the number of children. Had the number of children been half, each child would have got 16 notebooks. Total how many notebooks were distributed ?
Choices:
512
312
112
122
Answer: A
Question: A man sells two articles for Rs.2850 each and he gains 32% on the first and loses 18% on the next. Find his total gain or loss?
Choices:
2%loss
7%loss
6%loss
1%loss
Answer: C
Question: The perimeter of a square is 48 m. Find the area of the square.
Choices:
144 mÂ².
166 mÂ².
169 mÂ².
273 mÂ².
Answer: A
Question: In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 48, the dividend is:
Choices:
5340
5342
5345
5808
Answer: D
Question: Five bells first begin to toll together and then at intervals of 5, 10, 15, 20 and 25 seconds respectively. After what interval of time will they toll again together?
Choices:
5 min
5.2 min
6.2 min
None
Answer: A
Question: As x increases from 131 to 132, which of the following increases?
I) x−1/x
II) 17−1/x
III) (17+x)/x
Choices:
II only
I,II only
II,III only
III only
Answer: B
Question: 16 men can complete a piece of work in 25 days. In how many days can 20 men complete that piece of work?
Choices:
29
20
22
12
Answer: B
Question: Two cars start at the same time from opposite ends of a highway that is 333 miles long. One car is riding at 54 mph and the second car is riding at 57 mph. How long after they begin will they meet?
Choices:
2
3
4
5
Answer: B
Question: You have a rock solid dark chocolate bar of size 2 x 8. You need to break it and get 1 x 1 pieces of that chocolate.
If you can break that bar only along its length or breadth, how many times will you have to break to get the 1 x 1 pieces?
Choices:
13 times.
14 times.
15 times.
16 times.
Answer: C
Question: The price of an item is discounted 5 percent on day 1 of a sale. On day 2, the item is discounted another 10 percent, and on day 3, it is discounted an additional 15 percent. The price of the item on day 3 is what percentage of the sale price on day 1?
Choices:
40%
64.8%
76.5%
78%
Answer: C
Question: A and B started a partnership business investing some amount in the ratio of 7 : 5. C joined then after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C?
Choices:
5 : 7 : 4
6 : 10 : 5
14 : 10: 5
5 : 4 : 8
Answer: C
Question: 6 people meet for a business gathering. Each person shakes hands once with each other person present. How many handshakes take place?
Choices:
21
18
15
10
Answer: C
Question: Find a two digit number, given that the sum of the digits is 9 and the difference of the digits is 3.?
Choices:
63
83
94
39
Answer: A
Question: If 20% of 30 is greater than 25% of a number by 2, the number is:
Choices:
16
20
32
None of these
Answer: A
Question: 8 liters of solution is removed from 20% milk solution and 8 liters of water is added to the solution. The resulting solution has 16% milk in it. What was the initial quantity of the 20% milk solution?
Choices:
40 Ltrs
60
70
80
Answer: A
Question: A person can row at 10 kmph in still water. If the velocity of the current is 2 kmph and it takes him 30 hour to row to a place and come back, how far is the place?
Choices:
144km
48km
12km
15km
Answer: A
Question: What will be the ratio of simple interest earned by certain amount at the same rate of interest for 5 years and that for 15 years?
Choices:
1 : 3
2 : 3
3 : 1
2 : 1
Answer: A
Question: Which of the following cannot be the range of a set consisting of 5 odd multiples of 11?
Choices:
88
45
176
352
Answer: B
Question: A new tower has just been built at the Verbico military hospital; the number of beds available for patients at the hospital is now 2 times the number available before the new tower was built. Currently, 1/3 of the hospital's original beds, as well as 1/5 of the beds in the new tower, are occupied. For the purposes of renovating the hospital's original wing, all of the patients in the hospital's original beds must be transferred to beds in the new tower. If patients are neither admitted nor discharged during the transfer, what fraction of the beds in the new tower will be unoccupied once the transfer is complete?
Choices:
29/60
17/30
19/30
7/15
Answer: D
Question: If p is a positive integer and 10p/96 is an integer, then the minimum number of unique prime factors p could have is B:
Choices:
B=2
B=3
B=4
B=5
Answer: A
Question: George baked a total of 150 pizzas for 7 straight days, beginning on Saturday. He baked 3/5 of the pizzas the first day, and 3/5 of the remaining pizzas the second day. If each successive day he baked fewer pizzas than the previous day, what is the maximum number of pizzas he could have baked on Wednesday?
Choices:
6
4
3
2
Answer: A
Question: Of the people who responded to a market survey, 200 preferred Brand X and the rest preferred Brand Y. If the respondents indicated a preference for Brand X over Brand Y by ratio of 4 to 1, how many people responded to the survey?
Choices:
160
250
350
480
Answer: B
Question: A wheel makes 1000 revolutions in covering a distance of 88 km. Find the radius of the wheel.
Choices:
14
28
26
18
Answer: A
Question: In a group of 800 people, 1/5 play at least one instrument, 128 play two or more. What is the probability that one student play exactly one instrument?
Choices:
3/125
C)2/25
3/25
1/25
Answer: D
Question: P and Q can do a work in 30 days. Q and R can do the same work in 24 days and R and P in 20 days. They started the work together, but Q and R left after 2 days. How many days more will P take to finish the work?
Choices:
15
42
20
22
Answer: B
Question: Kim and Renee will play one game of Rock, Paper, Scissors. In this game, each will select and show a hand sign for one of the three items. Rock beats Scissors, Scissors beat Paper, and Paper beats Rock. Assuming that both Kim and Renee have an equal chance of choosing any one of the hand signs, what is the probability that Kim will win?
Choices:
2/3
1/2
5/12
1/3
Answer: D
Question: If a computer program generates three-digit odd numbers using the numbers 9, 7, 0, 4, and 1, and the digits can be repeated, what is the probability that the number formed from the program is a multiple of three?
A. B.
C.
D.
E.
Choices:
1/3
1/5
1/6
1/7
Answer: A
Question: The expression x#y denotes the product of the consecutive multiples of 3 between x and y, inclusive. What is the sum of the exponents in the prime factorization of 21#42?
Choices:
23
25
26
27
Answer: A
Question: two watches (non- digital) one gained at the rate of 1 minute and the other lost at the rate of 1 minute daily were se correctly at noon on first january 1988. when will the watches indicate the same time next ?
Choices:
dec 27 1988 midnight
dec 26 1988 noon
dec 25 1988 noon
dec 25 1988 midnight
Answer: C
Question: The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero ?
Choices:
0
8
7
6
Answer: A
Question: The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period(in years) is?
Choices:
2
8
6
9
Answer: A
Question: The time taken by Mr.Dhoni to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 72 kmph, find the speed of the stream?
Choices:
24 kmph
26 kmph
30 kmph
28 kmph
Answer: A
Question: P software has coding line 5% more than N, N software has coding line 1/2 more than M. M software has 100 lines of coding. find P lines.
Choices:
107
108
109
158
Answer: D
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 850 grams per kg, what is his percent?
Choices:
25%
55%
17.6%
55%
Answer: C
Question: 475.124 x 15.98 ÷ 8.001 + 33.33 = ?
Choices:
983.578
781.189
656.112
456.512
Answer: A
Question: Can you deduce the pattern and find the next number in the series?
3, 24,81, 192, __?
Choices:
277
278
279
375
Answer: D
Question: The value of x.1234 - X = 4234 - 3361
Choices:
371
361
248
246
Answer: B
Question: If a: b = 17: 5, b: c = 13: 11, find a: b: c?
Choices:
121: 65: 55
221: 65: 55
221: 75: 55
221: 65: 45
Answer: B
Question: Of 200 people surveyed, 80 percent own a cellular phone and 45 percent own a pager. If all 200 people surveyed own a cellular phone, or a pager, or both, what percent of those surveyed either do not own a cellular phone or do not own a pager?
Choices:
45%
55%
65%
75%
Answer: D
Question: Two goods trains each 820 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Choices:
27.32
76.6
78.72
21
Answer: C
Question: A car is traveling 54 kilometers per hour. How many meters does the car travel in one minute?
Choices:
1,350 meters / minute
900 meters / minute
950 meters / minute
1,650 meters / minute
Answer: B
Question: Find the face value of 7 in 942756
Choices:
7
7000
70000
70
Answer: A
Question: The mean of 50 observations is 100. But later he found that there is decrements of 13 from each observations. what is the the updated mean is ?
Choices:
87
67
57
46
Answer: A
Question: What is the probability that the sum of two numbers that are selected randomly from a set of numbers will be greater than 6 if the given set is {2,4,6}
Choices:
1/7
1/2
1/4
1/3
Answer: D
Question: The tax on a commodity is diminished by 20% and its consumption increased by 15%. The effect on revenue is?
Choices:
8% decrease
9% decrease
6% decrease
4% decrease
Answer: A
Question: If goods be purchased for Rs.840 and one-fourth be sold at a loss of 20% at what gain percent should the remainder be sold so as to gain 20% on the whole transaction?
Choices:
33 7/3%
33 1/3%
33 8/3%
32 1/3%
Answer: B
Question: Two-third of a positive number and 64/216 of its reciprocal are equal. The number is:
Choices:
12/5
25/144
2/3
146/25
Answer: C
Question: In 1986 the book value of a certain car was 2/3 of the original price, and in 1988 its book value was 1/2 of the original purchase price. By what percent did the book value for this car decre ase from 1986 to 1988?
Choices:
25 percent
33 1/3 %
50%
75%
Answer: A
Question: In how many ways can the letters of the word, ‘TECHNOLOGY’ be arranged?
Choices:
1814400
1714400
1704400
1724400
Answer: A
Question: A man has Rs. 480 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:
60
75
90
105
Answer: C
Question: If f(x) = 3x^4 - 4x^3 - 2x^2 + 5x , then f(-1) =
Choices:
-2
0
2
4
Answer: B
Question: The speed of the boat in still water in 12 kmph. It can travel downstream through 45 kms in 3 hrs. In what time would it cover the same distance upstream?
Choices:
5 hours
9 hours
15 hours
23 hours
Answer: A
Question: I was facing west.I turned 125 degree in the clockwise direction and 10degree in the anticlockwise direction.Which direction am i facing now?
Choices:
north
east
north-east
west
Answer: C
Question: Of 440 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
35
55
Answer: D
Question: The ratio of boarders to day students at a school was originally 5 to 12. However, after a number of new boarders join the initial 220 boarders, the ratio changed to 1 to 2. If no boarders became day students and vice versa, and no students left the school, how many new boarders joined the school?
Choices:
44
70
80
84
Answer: A
Question: If each side of a square is increased by 20%, find the percentage change in its area?
Choices:
42%
46%
44%
38%
Answer: C
Question: A father and his son are waiting at a bus stop in the evening. There is a lamp post behind them. The lamp post, the father and his son stand on the same straight line. The father observes that the shadows of his head and his son’s head are incident at the same point on the ground. If the heights of the lamp post, the father and his son are 6 metres, 1.8 metres and 0.9 metres respectively, and the father is standing 2.1 metres away from the post, then how far (in metres) is the son standing from his father?
Choices:
0.75
0.6
0.45
None of these
Answer: C
Question: How long does a train 90 m long traveling at 60 kmph takes to cross a bridge of 170 m in length?
Choices:
sec
sec
sec
sec
Answer: C