antoine-444/aqua_rat_dataset huggingface dataset:
Question: Harry started a 7-mile hike with a full 11-cup canteen of water and finished the hike in 3 hours with 2 cup of water remaining in the canteen. If the canteen leaked at the rate of 1 cup per hour and Harry drank 3 cups of water during the last mile, how many cups did he drink per mile during the first 6 miles of the hike?
Choices:
3/6
4/6
6/4
5/6
Answer: A
Question: A, B and C enter into a partnership. A invests 3 times as much as B invests and 2/3 of what C invests. At the end of the year, the profit earned is Rs. 55000. What is the share of C?
Choices:
Rs. 13375
Rs. 16750
Rs. 15000
None of these
Answer: C
Question: A man invested Rs. 14,400 in Rs. 100 shares of a company at 25% premium.If the company declares 5% dividend at the end of the year,then how much does he get ?
Choices:
Rs. 576
Rs. 650
Rs. 720
None
Answer: A
Question: X and Y started a business with capitals Rs. 20000 and Rs. 25000. After few months Z joined them with a capital of Rs. 30000. If the share of Z in the annual profit of Rs. 50000 is Rs. 14000, then after how many months from the beginning did Z join?
Choices:
6
7
8
5
Answer: D
Question: If the sum and difference of two numbers are 5 and 10 respectively, then the difference of their square is:
Choices:
50
160
180
18
Answer: A
Question: 47% of the students in a class of 38 students has glasses or contacts. How many students in the class have either glasses or contacts?
Choices:
16
17
18
19
Answer: C
Question: A person travels at a speed of 10 mph from one city to another. However while returning as there was not much traffic. He came with a speed of 15mph. what is his average speed?
Choices:
11Kmph
12Kmph
13Kmph
14Kmph
Answer: B
Question: In a barrel of juice there is 20 liters; in a barrel of beer there are 80 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.
3:4
Answer: B
Question: A fruit seller had some oranges. He sells 10% oranges and still has 360 oranges. How many oranges he had originally?
Choices:
700
220
400
None of these
Answer: C
Question: A dog takes 2 leaps for every 3 leaps of a hare. If one leap of the dog is equal to 5 leaps of the hare, the ratio of the speed of the dog to that of the hare is :
Choices:
3 : 10
2 : 3
6 : 3
10 : 3
Answer: D
Question: A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containg 19% alcohol and now the percentage of alcohol was found to be 26%. What quantity of whisky is replaced ?
Choices:
2by3
2/5
3/5
4/5
Answer: A
Question: A train passes a station platform in 36 sec and a man standing on the platform in 25 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Choices:
165
881
1277
121
Answer: A
Question: What is 2/5 of 5/9 of 1/2?
Choices:
1/9
9/16
5/8
16/9
Answer: A
Question: If q = 50! + 1, which of the following cannot be a prime factor of q?
I. 11
II. 29
III. 41
Choices:
III only
II and III
I and II
I​, II, and III
Answer: D
Question: There are 19 teams in the hockey league, and each team faces all the other teams 10 times each. How many games are played in the season?
Choices:
1710
2440
2860
3260
Answer: A
Question: The food in a camp lasts for 36 men for 45 days. If twelve more men join, how many days will the food last?
Choices:
30 days
65 days
34 days
15 days
Answer: C
Question: The total of the ages of Amar, Akbar and Anthony is 80 years. What was the total of their ages three years ago ?
Choices:
71 years
74 years
77 years
78 years
Answer: A
Question: The “c-number” of a number x is defined as the ones digit of 2^x. Antony rolls a die with 6 sides labeled with the integers from 1 to 6, each of which has an equal probability of landing face-up. He then takes 3^c, where c is the c-number of the result of his die roll, and plots 3^c on a number line as the point A. Finally, he repeats this entire process, this time plotting the result as the point B. What is the probability that the distance between A and B is greater than the value of B?
Choices:
13/36
17/36
19/36
23/36
Answer: A
Question: If the LCM of 9, 12, 5, and x is 180, which of the following could be x?
Choices:
10
13
9
13
Answer: A
Question: Last week we got 3.5 inches of snow. Six-tenths of an inch melted before another storm added
8.3 inches. Since then we have lost 4.2 inches to melting or evaporation. How may inches of snow
are left on the ground?
Choices:
7" remaining
8" remaining
6" remaining
10" remaining
Answer: A
Question: A man buy a book in Rs50 & sale it Rs100. What is the rate of profit ???
Choices:
100%
30%
25%
28%
Answer: A
Question: Three numbers are in the ratio 1:2:3 and their H.C.F is 12. The numbers are?
Choices:
12, 24, 56
12, 24, 31
12, 24, 36
12, 24, 32
Answer: C
Question: When a train travels at a speed of 90kmph,it reaches the destination on time.when the same train travels at a speed of 50kmph,it reaches its destination 15min late.what is the length of journey?
Choices:
18.75km
60km
85km
95km
Answer: A
Question: A man has Rs.680 in the denominations of two-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:
40
680
120
180
Answer: C
Question: R is the set of positive even integers less than 201, and S is the set of the squares of the integers in R. How many elements does the intersection of R and S contain ?
Choices:
Two
Four
Five
Seven
Answer: D
Question: Of the three-digit integers greater than 700, how many have two digits that are equal to each other and the remaining digit different from the other two?
Choices:
82
80
45
36
Answer: B
Question: The difference between the squares of two consecutive numbers is 35. The numbers are
Choices:
15,16
17,18
18,19
None
Answer: B
Question: A and B started a business with investments of Rs. 42000, and Rs. 63000 respectively. After 4 months B withdraws from the business. At the end of a year they got Rs. 9600 as total profit. Find the share of B.
Choices:
Rs. 2800
Rs. 3200
Rs. 6400
None of these
Answer: B
Question: A watch was sold at a profit of 15%. If its cost had been 5% less and it had been sold for Rs. 21 less, than the profit would have been 10%. Find the cost price of the watch
Choices:
200
120
140
160
Answer: A
Question: If a/b = 4, b/c = 2/5, c/d = 6/5, d/e = 5/2 and e/f = 3, then what is the value of abc/def ?
Choices:
4561/8645
3235/7456
475/8456
3125/41472
Answer: D
Question: The average age 9 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?
Choices:
87 years
18 years
19 years
16 years
Answer: B
Question: Excluding stoppages,the speed of the bus is 54kmph and
including stoppages,it is 27kmph. For how many minutes does the bus stop per hr
Choices:
11 min
13 min
20 min
30 min
Answer: D
Question: The area of a parallelogram is 128sq m and its altitude is twice the corresponding base. Then the length of the base is?
Choices:
8
5
2
3
Answer: A
Question: Calculate the amount that an investor needs to be invest to earn $1005 in interest in 12 months if the investor plans to invest x dollars in a savings account that pays interest at an annual rate of 11% compounded semi-annually?
Choices:
8100
8900
8600
8400
Answer: B
Question: What is the number of integers from 1 to 1000 (inclusive) that are divisible by neither 10 nor by 35?
Choices:
890
892
910
945
Answer: C
Question: In a company with 48 employees, some part-time and some full-time, exactly (1/3) of the part-time employees and (1/4) of the full-time employees take the subway to work. What is the greatest possible number of employees who take the subway to work?
Choices:
13
14
15
16
Answer: C
Question: Mismatched Joe is in a pitch dark room selecting socks from his drawer. He has only six socks in his drawer, a mixture of black and white. If he chooses two socks, the chances that he draws out a white pair is 2/3. What are the chances that he draws out a black pair?
Choices:
3
2
1
0
Answer: D
Question: The radius of a cylindrical vessel is 7cm and height is 2cm. Find the whole surface of the cylinder?
Choices:
220 sq cm
396 sq cm
132 sq cm
138 sq cm
Answer: B
Question: The distance that light travels in one year is approximately 5,870,000,000,000 miles. The distance light travels in 1000 years is:
Choices:
587 x 10^13 miles
346 × 1012 miles
247 × 1012 miles
587 × 1012 miles
Answer: A
Question: The number 149 can be written as the sum of the squares of 3 different positive integers. What is the sum of these 3 integers?
Choices:
19
15
14
13
Answer: A
Question: A milkman mixed 10 liters of water to 50 litres of milk of Rs.16 per liter, then cost price of mixture per liter is
Choices:
Rs.13.33
Rs.15
Rs.14.23
Rs.15.23
Answer: A
Question: The average (arithmetic mean) of the even integers from 0 to 100 inclusive is how much greater than the average (arithmetic mean) of the even integers from 0 to 50 inclusive?
Choices:
25
26
48
50
Answer: A
Question: B and C start a business with Rs.4000 and Rs.12000 respectively. How should they share their profits at the end of one year?
Choices:
1:5
1:4
1:3
1:2
Answer: C
Question: Find the number which when added to itself 13 times, gives 112.
Choices:
8
9
11
12
Answer: A
Question: The marks obtained by Vijay and Amith are in the ratio 4:5 and those obtained by Amith and Abhishek in the ratio of 3:2. The marks obtained by Vijay and Abhishek are in the ratio of?
Choices:
6:5
8:6
7:6
9:8
Answer: A
Question: In a sports contest there were m medals awarded on n successive days (n > 1). On the first day 1 medal and 1/7 of the remaining m " 1 medals were awarded. On the second day 2 medals and 1/7 of the now remaining medals was awarded; and so on. On the nth and last day, the remaining n medals were awarded. how many medals were awarded altogether?
Choices:
36 medals
38 medals
35 medals
34 medals
Answer: A
Question: What will be the remainder when 17^200 is divided by 18
Choices:
1
3
4
5
Answer: A
Question: The price of a certain painting increased by 30% during the first year and decreased by 20% during the second year. The price of the painting at the end of the 2-year period was what percent of the original price?
Choices:
105%
120%
135%
104%
Answer: D
Question: 39 persons can repair a road in 12 days,working 5 hours a day.In how many days will 30 persons,working 6 hours a day,complete the work ?
Choices:
13
14
15
16
Answer: A
Question: A batsman makes a score of 87 runs in the 17th inning and thus increases his averages by 3. Find his average after 17th inning?
Choices:
29
39
49
59
Answer: B
Question: A man can row with a speed of 5 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
Choices:
B)18
C)10
D)11
E)15
Answer: B
Question: A four digit number divisible by 7 becomes divisible by 3 when 19 is added to it. The largest such number is :
Choices:
4473
4479
4487
4491
Answer: C
Question: Steve gets on the elevator at the 11th floor of a building and rides up at a rate of 57 floors per minute. At the same time Joyce gets on an elevator on the 41st floor of the same building and rides down at a rate of 63 floors per minute. If they continue traveling at these rates, at which floor will their paths cross?
Choices:
25
30
32
44
Answer: A
Question: Find the area of circle whose radius is 35m?
Choices:
1543
7673
3850
1788
Answer: C
Question: Rectangle ABCD is constructed in the coordinate plane parallel to the x- and y-axes. If the x- and y-coordinates of each of the points are integers which satisfy 7 ≤ x ≤ 11 and -5 ≤ y ≤ 5, how many possible ways are there to construct rectangle ABCD?
Choices:
1260
550
7920
15840
Answer: B
Question: The cost to rent a small bus for a trip is x dollars, which is to be shared equally among the people taking the trip. If 10 people take the trip rather than 17, how many more dollars, in terms of x, will it cost per person?
Choices:
x/16
x/40
3x/40
3x/80
Answer: C
Question: Bottle R contains 250 capsules and costs $6.25. Bottle T contains 100 capsules and costs $3.0. What is the difference between the cost per capsule for bottle R and the cost per capsule for bottle T?
Choices:
$0.12
$0.05
$0.003
$0.005
Answer: D
Question: On a certain transatlantic crossing, 20 percent of a ship’s passengers held round-trip tickets and also took their cars abroad the ship. If 60 percent of the passengers with round-trip tickets did not take their cars abroad the ship, what percent of the ship’s passengers held round-trip tickets?
Choices:
40%
50%
60%
66 2/3%
Answer: B
Question: If k is a non-negative integer and 18^k is a divisor of 624,938 then 6^k - k^6 =
Choices:
1
36
118
420
Answer: A
Question: 20 men do a work in 20days. How many men are needed to finish the work in 4days?
Choices:
20
30
100
15
Answer: C
Question: What is the value of: 5^10 - 5^9 + 5^8 ?
Choices:
15^9
21(5^8)
29(5^8)
29(5^10)
Answer: B
Question: A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is
Choices:
7/15
3/15
8/15
1/4
Answer: C
Question: Working alone, Tom finishes cleaning half the house in a third of the time it takes Nick to clean the entire house alone. Tom alone cleans the entire house in 6 hours. How many hours will it take Nick and Tom to clean the entire house if they work together?
Choices:
2
2.4
3
3.6
Answer: D
Question: The length of the rectangular field is double its width. Inside the field there is square shaped pond 4m long. If the area of the pond is 1/8 of the area of the field. What is the length of the field?
Choices:
32
75
28
16
Answer: D
Question: When a=4+(2/4) and b=4-(2/4), (2^a^2)/(2^b^2)=?
Choices:
256
240
210
225
Answer: A
Question: Tom reads at an average rate of 30 pages per hour, while Jan reads at an average rate of 41 pages per hour. If Tom starts reading a novel at 3:20, and Jan begins reading an identical copy of the same book at 4:26, at what time will they be reading the same page?
Choices:
6:56
7:26
7:56
8:26
Answer: B
Question: Jason can row his boat with the stream at 50 km/h and against the stream in 2 km/h. Jason's rate is?
Choices:
24 kmph
35 kmph
15 kmph
12 kmph
Answer: A
Question: A rectangular field is to be fenced on three sides leaving a side of 8 feet uncovered.If the area of the field is 680 sq.ft, how many feet of fencing will be required?
Choices:
88ft
122ft
178ft
66ft
Answer: C
Question: 20 chess players take part in a tournament. Every player plays twice with each of his opponents. How many games are to be played?
Choices:
380
560
650
740
Answer: A
Question: Find the number which when added to itself 13 times, gives 112.
Choices:
8
9
10
11
Answer: A
Question: Kuber borrowed rs 169 due in 2 years at 4%per annum compound interest.Find the Present worth?
Choices:
225
156.25
180.25
150.5
Answer: B
Question: In three annual examinations, of which the aggregate marks of each was 500, a student secured
average marks 45% and 55% in the first and the second yearly examinations respectively. To secure 40% average total marks, it is necessary for him in third yearly examination to secure marks :
Choices:
100
400
450
500
Answer: A
Question: The average temperature of the town in the first four days of a month was 58 degrees. The average for the second, third, fourth and fifth days was 59 degrees. If the temperatures of the first and fifth days were in the ratio 7 : 8, then what is the temperature on the fifth day ?
Choices:
32 degrees
65 degrees
66 degrees
67 degrees
Answer: A
Question: Sixty men can stitch 200 shirts in 30 days working 8 hours a day. In how many days can 45 men stitch 300 shirts working 6 hours a day?
Choices:
88
27
80
12
Answer: C
Question: Divide Rs. 800 among A, B and C so that A receives 1/3 as much as B and C together and B receives 2/3 as A and C together. A's share is?
Choices:
s.200
s.600
s.500
s.900
Answer: A
Question: In N is a positive integer less than 200, and 10N/60 is an integer, then N has how many different positive prime factors?
Choices:
2
5
6
8
Answer: A
Question: On a certain number line, conditions are a<b<c<d<e and ab>0. Which of the following must be true?
I ab>0 II cd>0 III de>0
Choices:
II only
III only
I only
II and III only
Answer: C
Question: If A got 80 marks and B got 60 marks, then what percent of A's mark is B's mark?
Choices:
80%
65%
75%
None of these
Answer: C
Question: An entrepreneurship competition requires registering teams to have 3 team members, at least one of which must be a technology co-founder. If all team members must come from the auditorium during the meet and greet event which has 4 technologists and 7 businessmen, how many possible team submissions are possible?
Choices:
130
162
198
202
Answer: A
Question: 2.09 can be expressed in terms of percentage as
Choices:
20.9%
209%
0.209%
None of these
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.75 less, he could have gained 25%. What is the cost price?
Choices:
375
287
255
123
Answer: A
Question: If the time is currently 1:30 pm, what time will it be in exactly 642 hours?
Choices:
4:30 am
5:30 am
6:30 am
7:30 am
Answer: D
Question: Pumping alone at their respective constant rates, one inlet pipe fills an empty tank to 1/4 of capacity in 9 hours and a second inlet pipe fills the same empty tank to 2/3 of capacity in 6 hours. How many hours will it take both pipes, pumping simultaneously at their respective constant rates, to fill the empty tank to capacity?
Choices:
3.6
4.2
4.4
7.2
Answer: D
Question: If the function f(x) is defined for all real numbers x as the maximum value of 2x + 4 and 12 + 4x, then for which one of the following values of x will f(x) actually equal 2x + 4 ?
Choices:
–5
–6
–7
–9
Answer: A
Question: A truck driver drove for 2 days. On the second day, he drove 3 hours longer and at an average speed of 15 miles per hour faster than he drove on the first day. If he drove a total of 1,020 miles and spent 22 hours driving during the 2 days, what was his average speed on the first day, in miles per hour?
Choices:
30.6
37.8
40.2
45.1
Answer: B
Question: The speeds of three asteroids were compared. Asteroids X-13 and Y-14 were observed for identical durations, while asteroid Z-15 was observed for 2 seconds longer. During its period of observation, asteroid Y-14 traveled three times the distance X-13 traveled, and therefore Y-14 was found to be faster than X-13 by 6000 kilometers per second. Asteroid Z-15 had an identical speed as that of X-13, but because Z-15 was observed for a longer period, it traveled five times the distance X-13 traveled during X-13's inspection. Asteroid X-13 traveled how many kilometers during its observation?
Choices:
1,600/3
1,000
1,500
2,500
Answer: C
Question: A reduction of 20% in the price of salt enables a lady to obtain 10kgs more for Rs.400, find the original price per kg?
Choices:
s.9
s.10
s.11
s.19
Answer: B
Question: The true discount on a bill of Rs. 2560 is Rs. 360. What is the banker's discount?
Choices:
Rs. 422
Rs. 419
Rs. 442
None of these
Answer: B
Question: Statements: Population increase coupled with depleting resources is going to be the scenario of many developing countries in days to come. Conclusions: 1) The population of developing countries will not continue to increase in future. 2) It will be very difficult for the governments of developing countries to provide its people decent quality of life.
Choices:
Only conclusion II follows
Either I or II follows
Neither I nor II follows
Both I and II follow
Answer: A
Question: Which number need to add to 172835 to get a number exactly divisible by 136?
Choices:
25
26
21
24
Answer: C
Question: The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Choices:
40 kmph
16 kmph
18 kmph
20 kmph
Answer: A
Question: The market value of a certain machine decreased by 30 percent of its purchase price each year. If the machine was purchased in 1982 for its market value of $10,000, what was its market value two years later?
Choices:
$4,000
$3,200
$2,400
$800
Answer: A
Question: Ayesha's father was 40 years of age when she was born while her mother was 32 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
Choices:
12 years
16 years
7 years
6 years
Answer: A
Question: 12 men take 18 days to complete a job whereas 12 women in 18 days can complete 5/6 of the same job. How many days will 10 men and 8 women together take to complete the same job?
Choices:
13 1â„2
13
Data inadequate
None of these
Answer: B
Question: Rectangular tile each of size 25cm by 65cm must be laid horizontally on a rectangular floor of size 150cm by 390cm,such that the tiles do not overlap and they are placed with edges jutting against each other on all edges. A tile can be placed in any orientation so long as its edges are parallel to the edges of floor. No tile should overshoot any edge of the floor. The maximum number of tiles that can be accommodated on the floor is:
Choices:
40
25
36
45
Answer: C
Question: Simplify (5^y + 5^y + 5^y + 5^y + 5^y) (4^y + 4^y + 4^y + 4^y)
Choices:
20^y+1
16^y + 9^y
12^y
4^y * 12^y
Answer: A
Question: A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is:
Choices:
276
280
285
None
Answer: C
Question: Find a sum for 1st 6 prime number's?
Choices:
41
30
34
36
Answer: A
Question: The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.8500. If his salary for the month of May is Rs.6500, find his salary for the month of January?
Choices:
4500
6000
6500
7000
Answer: A
Question: The mean of 50 observations is 200. But later he found that there is decrements of 15 from each observations. what is the the updated mean is ?
Choices:
185
190
196
200
Answer: A
Question: Set S consists of integers {6, 7, 10, 12, 15}. If integer n is included in the set, the average (arithmetic mean) of set S will increase by 40%. What is the value of integer n?
Choices:
30
34
38
42
Answer: B
Question: A local bank that has 9 branches uses a two-digit code to represent each of its branches. The same integer can be used for both digits of a code, and a pair of two-digit numbers that are the reverse of each other (such as 17 and 71) are considered as two separate codes. What is the fewest number of different integers required for the 9 codes?
Choices:
3
5
6
7
Answer: A
Question: The area of square ABCD above is 12. The shaded region is the intersection of the square and a circular region centered at C. What is the area of the shaded region?
Choices:
12−3∗π
9+9/4∗π
9+9/2∗π
9/2−9/4∗π
Answer: A
Question: The parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)
Choices:
23.57
23.50
23.55
23.51
Answer: A
Question: find the odd man out:1,3,10,21,64,129,356,777
Choices:
10
21
64
356
Answer: C
Question: A certain boxer has agreed to pay his opponent a fee of 2.5% of his total purse for every pound over the specified weight limit he weighs in. If the boxer pays his opponent a fee of $225,000 after weighing in eight pounds over the specified limit, what was the boxer's purse?
Choices:
$105,000
$150,000
$183,750
$1,125,000
Answer: D
Question: In a party attended by 12 persons, each clinch their glass with every other. How many glass clinches?
Choices:
52
53
66
55
Answer: C
Question: In an exam, Amar scored 64 percent, Bhavan scored 36 percent and Chetan 44 percent. The maximum score awarded in the exam is 800. Find the average mark scored by all the three boys?
Choices:
384
207
269
208
Answer: A
Question: A group of 55 adults and 70 children go for trekking. If there is meal for either 70 adults or 90 children and if 28 adults have their meal, find the total number of children that can be catered with the remaining food.
Choices:
54
90
70
80
Answer: A
Question: Life expectancy is defined by the formula 2SB/G, where S = shoe size, B = average monthly electric bill in dollars, and G = GMAT score. If Melvin's GMAT score is twice his monthly electric bill, and his life expectancy is 70, what is his shoe size?
Choices:
70
65
40
50
Answer: A
Question: The average of runs of a cricket player of 10 innings was 32. How many runs must he make in his next innings so as to increase his average of runs by 4?
Choices:
86
25
76
63
Answer: C
Question: For all integers a and b, a%b = (a + b)(a - b). If 8%x = 15, then which of the following could be a value of x?
Choices:
-7
2
3
6
Answer: A
Question: John makes $50 a week from his job. He earns a raise and now makes $60 a week. What is the % increase?
Choices:
16.66%
17.9%
18.12%
20%
Answer: D
Question: 1+2+2^2+2^3+2^4+2^5+2^6+2^7=？
Choices:
(2^4-1)(2^4+1)
2^5-1
2^5+1
2^5-2
Answer: A
Question: One card is drawn from a pack of 52 cards. What is the probability that the card drawn is a face card?
Choices:
4/13
9/17
2/5
3/9
Answer: A
Question: The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 18000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is
Choices:
42
22
23
NONE
Answer: A
Question: Find the number of selections that can be made taking 4 letters from the word "ENTRANCE".
Choices:
36
35
72
32
Answer: A
Question: The average of 30 numbers is 25. If each number is multiplied by 5, find the new average?
Choices:
125
135
145
155
Answer: A
Question: During a clearance sale, a retailer discounted the original price of its TVs by 25% for the first two weeks of the month, then for the remainder of the month further reduced the price by taking 20% off the sale price. For those who purchased TVs during the last week of the month, what percent of the original price did they have to pay?
Choices:
45%
55%
60%
62.5%
Answer: C
Question: Find the greatest number which is such that when794, 858 and 1351 are divided by it, the remainders are all same.
Choices:
1
6
7
8
Answer: A
Question: Find the annual income derived by investing $ 6800 in 50% stock at 136.
Choices:
2500
250
3000
400
Answer: A
Question: A train with 120 wagons crosses John who is going in the same direction, in 36 seconds. It travels for half an hour from the time it starts overtaking the John (he is riding on the horse) before it starts overtaking the Mike(who is also riding on his horse) coming from the opposite direction in 24 seconds. In how much time (in secs) after the train has crossed the Mike do the John meets to Mike?
Choices:
3589 s
3596 s
3598 s
3576 s
Answer: D
Question: How many even multiples of 15 are there between 149 and 301?
Choices:
6
9
10
11
Answer: A
Question: A team P of 20 engineers can complete work or task in 32 days. Another team Q of 16 engineers can complete same task in 30 days.Then the ratio of working capacity of 1 member of P to the 1 member of Q is
a. 3 : 2
Choices:
34
77
29
21
Answer: A
Question: 8 gentlemen and 3 gentlewomen are candidates for 2vacancies. A voter has to vote for 2 candidates. In how many ways can one cast his vote?
Choices:
52
55
56
57
Answer: B
Question: A can do a half of certain work in 70 days and B one third of the same in 35 days. They together will do the whole work in.
Choices:
27 days
78 days
60 days
17 days
Answer: C
Question: What is the least common multiple of 8,12,32,14
Choices:
672
328
964
285
Answer: A
Question: Look at this series: 70, 71, 76, __, 81, 86, 70, 91, ... What number should fill the blank?
Choices:
70
82
77
52
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 $42.0 billion from $69.0 billion, a year ago. By what percent did the revenue fall?
Choices:
30.4
31.8
39.1
33.8
Answer: C
Question: The difference between the value of a number increased by 12.5% and the value of the original number decreased by 25% is 30. What is the original number Q?
Choices:
80
40
120
160
Answer: A
Question: A large tanker can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half ?
Choices:
20 min
27.5 min
30 min
35 min
Answer: C
Question: What annual payment dischargea debit of Rs.12900, due in 4yrs.At 5% rate?
Choices:
1300
3000
4300
4500
Answer: B
Question: Bullock likes to keep a spare tyre in his car every time. On a certain day, he travels 1, 00,000 km and just to make the most of all the tyres, he changes the tyres between his journey such that each tyre runs the same distance.
What is the distance traveled by each tyre?
Choices:
60,000 km.
70,000 km.
80,000 km.
90,000 km.
Answer: C
Question: One-third of 1206 is what percent of 400 ?
Choices:
30
300
100.5
201.2
Answer: C
Question: When 24 is divided by the positive integer i, the remainder is 4. Which of the following statements about i must be true?
I. i is even
II. i is a multiple of 5
III. i is a factor of 20
Choices:
I and II only
I and III only
II and III only
I, II, and III
Answer: C
Question: In ten years, David will be four times as old as Aaron. Twenty years ago, David was twice as old as Ellen. If David is nine years older than Ellen, how old is Aaron?
Choices:
1.5–5
11–15
16–20
21–25
Answer: A
Question: A certain industrial machine requires 15 quarts (480 ounces) of oil every day, and it is given a mixture of oil A and oil B. Oil A consists of 5% special additives while oil B consists of 8% special additives. If the machine needs exactly 40 ounces of the special additives to ensure smooth operation, then how much of oil A, in ounces, should be in the mixture?
Choices:
a.	A – 53.33
c. C – 290
d.	D – 300
e.	E – 320
Answer: A
Question: How many positive integers y less than 30 have no common prime factor with 30?
Choices:
6
7
8
9
Answer: C
Question: Pipe A runs 30 liters of water per minute out of a pool that has a total volume of 3,600 liters. Pipe B empties a third of the pool in 6 hours.
Working together how long will it take both pipes to empty the pool?
Choices:
1.5 hours
9 hours and 12 minutes
15 hours
1 hour and 48 minutes.
Answer: D
Question: A man covered a certain distance at a speed of 8 Kmph and returned at a speed of 4 Kmph. Find the average speed of whole journey?
Choices:
5 1/3 Kmph
5 4/3 Kmph
6 1/3 Kmph
None
Answer: A
Question: Look at this series: 21, 9, 21, 11, 21, 13, 21, ... What number should come next?
Choices:
15
21
23
None of these
Answer: A
Question: The number of bacteria in a petri dish increased by 50 percent every 2 hours. If there were 108 million bacteria in the dish at 2: 00 p.m., at what time were there 32 million bacteria in the dish?
Choices:
8: 00 p.m.
6: 00 a.m
8: 00 a.m.
10: 00 a.m.
Answer: C
Question: In a 200 m race, A beats B by 20 m and c by 38m. In a race of 600 m B will beat C by
Choices:
30 m
25 m
15 m
60 m
Answer: D
Question: When positive integer n is divided by 3, the remainder is 1. When n is divided by 5, the remainder is 4. What is the smallest positive integer p, such that (n + p) is a multiple of 11?
Choices:
2
5
7
20
Answer: C
Question: A garrison of 2000 men has provisions for 54 days. At the end of 15 days, a reinforcement arrives, and it is now found that the provisions will last only for 20 days more. What is the reinforcement?
Choices:
2766
2999
1900
1712
Answer: C
Question: If (x-10)(x-3) < 0, which of the following must be true?
Choices:
x^2 + 5x + 6 > 0
5 - x < 0
x - 5 < 0
10 - x > 0
Answer: D
Question: Due to construction, the speed limit along an 10-mile section of highway is reduced from 55 miles per hour to 25 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) 13.1
C) 10
D) 15
E) 24
Answer: A
Question: By doing some calculation, 2+3=18, 3+5=42, 6+2=48 and find 5+6=??
Choices:
70
72
76
78
Answer: B
Question: Average of money that group of 4 friends pay for rent each month is $800.After one persons rent is increased by 20% the new mean is $880.What was original rent of friend whose rent is increased?
Choices:
900
1600
1100
1200
Answer: B
Question: Worldwide production of motor vehicles was 3.9 million vehicles in 1946 and 65.4 million in 1987. Of the following, which is closest to the average (arithmetic mean) annual increase, in millions, in worldwide production of motor vehicles during this period?
Choices:
1.0
1.1
1.5
41.8
Answer: C
Question: If C + D = 15 and C and D are any numbers, which of the following is a possible value for 8C + 5D?
Choices:
29
0
09
19
Answer: B
Question: If the consumer price index for a sample of goods and services purchased in Dallas rose from 100 at the end of 1967 to x at the end of 1985, what was the average T(arithmetic mean) annual increase in the index over this period?
Choices:
x/18
(100 − x)/18
(x − 100)/18
100x/18
Answer: C
Question: Each side of a certain parallelogram has length 8. If the area of the parallelogram is 24. Which of the following is the measure of one of its angles?
Choices:
22
60
90
120
Answer: A
Question: Find out the wrong number in the given sequence of numbers.
52, 51, 48, 43, 34, 27, 16
Choices:
34
77
99
21
Answer: A
Question: Two pipes P and Q can fill a tank in 5 hours and 10 hours respectively. If both pipes are opened simultaneously, how much time will be taken to fill the tank?
Choices:
5 hours 49 min
3 hours 20 min
3 hours 22 min
3 hours 42 min
Answer: B
Question: log3 N+log6 N what is 3 digit number N that will be whole number
Choices:
729
829
929
216
Answer: D
Question: What is the smallest positive integer x such that 450x is the cube of a positive integer?
Choices:
15
30
60
120
Answer: B
Question: There are 35 students in a hostel. If the no. of students increases by 10, the expenses of the mess increase by Rs.42/day while the average expenditure per head diminishes by Rs1. Find the original expenditure of the mess?
Choices:
304.5
342.9
345.9
380.9
Answer: A
Question: A car mechanic purchased four old cars for Rs. 1 lakh. He spent total 2 lakh in the maintenance and repairing of these four cars. what is the average sale price of the rest three cars to get 50% total profit if he has already sold one of the four cars at Rs. 1.2 lakh?
Choices:
1.1 lakh
1.9 lakh
8.1 lakh
6.1 lakh
Answer: A
Question: For an agricultural experiment, 300 seeds were planted in one plot and 200 were planted in a second plot. If exactly 20 percent of the seeds in the first plot germinated and exactly 35 percent of the seeds in the second plot germinated, what percent of the total number of seeds germinated?
Choices:
26%
29%
30%
60%
Answer: A
Question: A not-so-good clockmaker has four clocks on display in the window. Clock #1 loses 10 minutes every hour. Clock #2 gains 15 minutes every hour relative to Clock #1 (i.e., as Clock #1 moves from 12:00 to 1:00, Clock #2 moves from 12:00 to 1:15). Clock #3 loses 20 minutes every hour relative to Clock #2. Finally, Clock #4 gains 20 minutes every hour relative to Clock #3. If the clockmaker resets all four clocks to the correct time at 12 noon, what time will Clock #4 display after 6 actual hours (when it is actually 6:00 pm that same day)?
Choices:
5:34
5:42
6:00
6:24
Answer: C
Question: Machine X takes 80 hours longer than machine Y to produce 1080 Widgets. Machine Y produces 20 percent more widgets in an hour than machine x does in an hour. How many widgets per hour does machine X produce
Choices:
65
25
11
2.25
Answer: D
Question: Factor 3x3 - x2y +6x2y - 2xy2 + 3xy2 - y3 =
Choices:
(3x - y)(x + y)(x - y)
(3x - y)(x + y)2
(3x - y)(x2 + y2)
none
Answer: B
Question: The maximum number of students among them 1234 pens and 874 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is:
Choices:
2
1001
1911
None of these
Answer: A
Question: The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?
Choices:
68 Kmph
78 Kmph
55 Kmph
65 Kmph
Answer: A
Question: 20 balls are numbered 1 to 20. A ball is drawn and then another ball is drawn without replacement. What is the probability that both balls have even numbers?
Choices:
3/14
9/38
4/21
5/26
Answer: B
Question: A man can row downstream at the rate of 10 Km/hr and upstream at 4 Km/hr. Find man's rate in still water and the rate of current?
Choices:
7,3
9,3
6,6
None of these
Answer: A
Question: What is the next number of the following sequence
10,8,18,16,34,32,....
Choices:
66
55
77
48
Answer: A
Question: In a fuel station the service costs $1.75 per car, every liter of fuel costs 0.65$. Assuming that a company owns 12 cars and that every fuel tank contains 55 liters and they are all empty, how much money total will it cost to fuel all cars?
Choices:
380$
420$
450$
480$
Answer: C
Question: Two cyclist start on a circular track from a given point but in opposite direction with speeds of 7m/s and 8m/s. If the circumference of the circle is 360meters, after what time will they meet at the starting point?
Choices:
15sec
30sec
24sec
1min
Answer: C
Question: A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?
Choices:
12
8
6
5
Answer: A
Question: A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 120 km downstream?
Choices:
30/29
60/12
60/13
30/82
Answer: C
Question: Given that 268x74= 19432, find the value of 2.68x.74.
Choices:
1.9432
1.5693
1.0266
None
Answer: A
Question: There is a truck driver starts from one place to pick another person at
another place. The driver goes to that place by 6 AM and then picking him
he returns back.one day the other person woke a bit early and started
walking towards the first place.one the way he meets truck driver and joins
him and both went back to the first place. This day the other person came
20 min early to the time he usually comes to the first place?Tell the time
when the driver met the second person that day?
Choices:
5.20 AM
5.40 AM
5.50 AM
5.30 AM
Answer: C
Question: The length of a rectangular plot is thrice its width. If the area of the rectangular plot is 675 sq meters, then what is the width (in meters) of the rectangular plot?
Choices:
15
18
21
24
Answer: A
Question: How many different positive integers exist between 10^9 and 10^10, the sum of whose digits is equal to 2?
Choices:
7
5
8
10
Answer: D
Question: List K consists of 14 consecutive integers. If -4 is the least integer in list K, what is the range of the positive integers in list K?
Choices:
6
7
8
12
Answer: C
Question: A, B and C are partners. A receives 2/3 of profits, B and C dividing the remainder equally. A's income is increased by Rs.200 when the rate to profit rises from 5 to 7 percent. Find the Capital of B?
Choices:
18
77
66
25
Answer: A
Question: A professional athlete was offered a three-year contract to play with Team K that provided for an annual salary of $120,000 in the first year, an increase in annual salary of 20% over the previous year for the next two years, and a bonus of $50,000 on signing. Team L offered a three-year contract providing for an annual salary of $150,000 in the first year, an increase in annual salary of 10% over the previous year for the next two years, and no signing bonus. If he accepts the offer of Team L and fulfills the three-year contract terms, the athlete will receive how much more money by choosing Team L over Team K ?
Choices:
$5,000
$2,500
$9,700
$10,000
Answer: C
Question: At what price must an article costing Rs.47.50 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 25% on the cost price?
Choices:
62.5
62.7
62.2
62.9
Answer: A
Question: If each side of a square is increased by 6%, find the percentage change in its area?
Choices:
8.72%
9.28%
12.36%
11.91%
Answer: C
Question: In x-y plane, there is a right triangle ABC (∠B=90o). If the length of AC is 100 and the slope of line segment AC is 4/3, what is the length of AB?
Choices:
18
24
28
80
Answer: D
Question: A cricketer has a certain average for 10 innings. In the eleventh inning, he scored 108 runs, there by increasing his average by 7 runs. His new average is:
Choices:
38 runs
39 runs
40 runs
41 runs
Answer: A
Question: Two men starting from the same place walk at the rate of 5 kmph and 5.5 kmph respectively. What time will they take to be 8.0 km apart, if they walk in the same direction?
Choices:
14 hrs
15 hrs
16 hrs
None
Answer: C
Question: If 50% of (x-y) = 30% of (x+y) then what percent of x is y?
Choices:
20
18
26
25
Answer: D
Question: A train speeds past a pole in 15 sec and a platform 100 m long in 25 sec, its length is?
Choices:
150
288
269
271
Answer: A
Question: Find the value of a/b + b/a, if a and b are the roots of the quadratic equation x2 + 9x +3 = 0?
Choices:
28.3
2.78
6.84
7.23
Answer: A
Question: If Rahul rows 15 km upstream in 3 hours and 21 km downstream in 3 hours, then the speed of the stream is
Choices:
4 km/hr
2 km/hr
1 km/hr
3 km/hr
Answer: C
Question: Two trains one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 16 hours and 25 hours respectively. The ratio of their speeds is
Choices:
4 : 3
6 : 7
9 : 8
5 : 4
Answer: D
Question: How many factors of 2475 are odd numbers greater than 1?
Choices:
4
17
6
7
Answer: B
Question: A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long?
Choices:
190
188
177
121
Answer: A
Question: By selling 100 pencil, a trader gains the cost of 20 Pencil. Find his gain percentage?
Choices:
51 1/3%
20%
53 1/3%
34 1/3%
Answer: B
Question: If the personal income tax rate is lowered from 45% to 30%, what is the differential savings for a tax payer having an annual income before tax to the tune of $48000?
Choices:
$5000
$3150
$7200
$10000
Answer: C
Question: When p is divided by W, the remainder is 4. All of the following are possible values of W, except for which of the following?
Choices:
31
49
57
67
Answer: C
Question: There arr 4 prime numbers in ascending order. The multiplication of 1st 3 is 385 and that of last 3is 1001. what is the last number is
Choices:
10
12
13
15
Answer: C
Question: If n is an integer, then the least possible value of |33 - 5n| is?
Choices:
1
2
3
4
Answer: B
Question: An error 2% in excess is made while measuring the side ofa square. The % of error in the calculated area of the square is?
Choices:
4.04%
4.23%
4.67%
4.89%
Answer: A
Question: A single discount equivalent to the discount series of 25%, 20% and 15% is?
Choices:
31.1
31.6
49
31.9
Answer: C
Question: In a certain archery competition, points were awarded as follows: the first place winner receives 11 points, the second place winner receives 7 points, the third place winner receives 5 points and the fourth place winner receives 2 points. No other points are awarded. John participated several times in the competition and finished first, second, third, or fourth each time. The product of all the points he received was 15400. How many times did he participate in the competition?
Choices:
6
7
8
9
Answer: B
Question: How many different 9 digit numbers can be formed from the number 223355888 by re-arranging its digits so that the odd digits occupy even position?
Choices:
776
26
28
60
Answer: D
Question: The mass of the sun is approximately 4 × 10^30 kg and the mass of the moon is approximately 8 × 10^12 kg. The mass of the sun is approximately how many times the mass of the moon?
Choices:
2.5 × 10^17
5 × 10^17
2.5 × 10^19
4.0 × 10^42
Answer: B
Question: One train is traveling 45 kmph and other is at 10 meters a second. Ratio of the speed of the two trains is?
Choices:
5:4
5:6
5:0
2:4
Answer: A
Question: The scoring system in a certain football competition goes as follows: 3 points for victory, 1 point for a draw, and 0 points for defeat. Each team plays 20 matches. If a team scored 14 points after 5 games, what is the least number of the remaining matches it has to win to reach the 40-point mark by the end of the tournament?
Choices:
6
8
9
10
Answer: A
Question: y = x^2 + bx +64 cuts the x axis at (h, 0) and (k, 0). If h and k are integers, what is the least value of b?
Choices:
-64
-32
32
64
Answer: A
Question: In a covering a certain distance, the speeds of A and B are in the ratio of 3:4. A takes 30 minutes more than B to reach the destination. The time taken by A to reach the destination is?
Choices:
8 hrs
2 hrs
6 hrs
7 hrs
Answer: B
Question: A board of length L feet is cut into two pieces such that the length of piece A is 4 feet less than twice the length of piece B. Which of the following is the length, in feet, of piece A?
Choices:
(2L + 4)/3
(L + 4)/3
(2L + 2)/3
(2L - 4)/3
Answer: D
Question: A license plate in the country Kerrania consists of four digits followed by two letters. The letters A, B, and C are used only by government vehicles while the letters D through Z are used by non-government vehicles. Kerrania's intelligence agency has recently captured a message from the country Gonzalia indicating that an electronic transmitter has been installed in a Kerrania government vehicle with a license plate starting with 79. If it takes the police 60 minutes to inspect each vehicle, what is the probability that the police will find the transmitter within three hours?
Choices:
1/6
1/300
1/50
1/900
Answer: B
Question: Shekar scored 76, 65, 82, 67 and 95 marks in Mathematics, Science, Social studies, English and Biology respectively. What are his average marks?
Choices:
77
75
85
90
Answer: A
Question: On average, Machine A will produce a completed item once every three minutes, and Machine B will produce a completed item once every thirteen minutes. The number of items Machine A produces in a 24-hour period is approximately what percent greater than the number of items Machine B would produce in that same period?
Choices:
133%
100%
166%
333%
Answer: D
Question: The sum of the numbers is 330. If the first number be twice the second and third number be one-third of the first, then the second number is:
Choices:
54
72
84
90
Answer: D
Question: In a house, there are dogs, cats and parrot in the ratio 3:7:5. If the number of cats was more than the number of dogs by a multiple of both 9 and 7. What is the minimum number of pets in the house?
Choices:
945
252
238
None of these
Answer: A
Question: A certain bakery has 6 employees. It pays annual salaries of $14,000 to each of 2 employees, $16,000 to 1 employee, and $17,000 to each of the remaining 3 employees. The average (arithmetic mean) annual salary of these employees is closest to which of the following?
Choices:
$15,500
$15,800
$16,000
$16,400
Answer: B
Question: One water pump can fill half of a certain empty tank in 4 hours. Another pump can fill half of the same tank in 4.5 hours. Working together, how long will it take these two pumps to fill the entire tank?
Choices:
4 5/8
3 1/4
4 4/17
3 1/2
Answer: C
Question: Two numbers are less than third number by 35% and 37% respectively. How much percent is the second number less than by the first
Choices:
10%
33%
41%
42%
Answer: B
Question: Which of the following is closest to the difference between sum of all proper fractions (fractions less than 1) in the form 1/x , where x is a positive digit, and the product of all proper fractions in the form y/(y+1), where y is a positive digit?
Choices:
2.72
1.82
1.72
0.82
Answer: C
Question: What annual instalment will discharge a debt of Rs 1092 due in 3 years at 12% simple interest?
Choices:
Rs.325
Rs.560
Rs.550
None of these
Answer: A
Question: Each of the dogs in a certain kennel is a single color. Each of the dogs in the kennel either has long fur or does not. Of the 45 dogs in the kennel, 29 have long fur, 17 are brown, and 8 are neither long-furred nor brown. How many long-furred dogs are brown?
Choices:
19
11
8
9
Answer: D
Question: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 30 as remainder. Find the no. is?
Choices:
243435
243445
245667
220030
Answer: D
Question: If (64)2 - (36)2 = 20 x a, then a = ?
Choices:
120
180
140
130
Answer: C