antoine-444/aqua_rat_dataset huggingface dataset:
Question: Two vertical pole of 2 m and 8 m stand apart on a horizontal plane.The height in meters at the point of intersection of the line joining the top of each pole to the bottom of other pole is ....
Choices:
1.6
1.4
5.4
cannot be determined without knowing the distance bw the bottom of the pole
Answer: B
Question: The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
Choices:
61
88
66
35
Answer: D
Question: To be considered for “movie of the year,” a film must appear in at least 1/4 of the top-10-movies lists submitted by the Cinematic Academy’s 760 members. What is the smallest number of top-10 lists a film can appear on and still be considered for “movie of the year”?
Choices:
190
193
212
213
Answer: A
Question: If 4 people are selected from a group of 8 married couples, what is the probability that none of them would be married to each other?
Choices:
2/33
8/13
16/33
11/12
Answer: B
Question: The cost of 3 chairs and 10 tables is Rs 9856. What is the cost of 6 chairs and 20
tables?
Choices:
Rs 18712
Rs 19172
Rs 19712
None
Answer: C
Question: A certain hall contains two cuckoo clocks. If the first clock chirps 20 times per hour and the second clock chirps 7 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:
3:03 pm
3:13 pm
3:23 pm
3:33 pm
Answer: A
Question: How many cubes of 10cm edge can be put in a cubical box of 1m edge
Choices:
100
1000
10000
100000
Answer: B
Question: Which greatest possible length can be used to measure exactly 10 meter 40 cm, 14 meter 10 cm and 7 meter 90 cm
Choices:
25cm
24cm
15cm
10cm
Answer: D
Question: The subsets of the set {w, x, y} are {w}, {x}, {y}, {w, x}, {w, y}, {x,y}, {w, x, y}, and { } (the empty subset).
How many subsets of the set {w, x, y, z} contain w?
Choices:
Four
Seven
Eight
Sixteen
Answer: A
Question: The greatest common factor of two numbers is 5!. Which of the following can be the second number, if one of the numbers is 6!?
Choices:
5(5!)
4(5!)
6(5!)
7(5!)
Answer: A
Question: There are twelve consecutive flags at an equal interval of distance. A man passes the 8th flag in 8 seconds. How many more seconds will he take to pass the remaining 4 flags ?
Choices:
3.57 seconds
4.57 seconds
5.57 seconds
6.57 seconds
Answer: B
Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good?
Choices:
125/122
125/126
125/128
125/112
Answer: B
Question: If a number is exactly divisible by 11 and 13, which of the following types the number must be?
Choices:
Divisible by (13 - 11)
Divisible by (11 x 13)
Divisible by (13 ÷ 11)
None
Answer: B
Question: A dance delegation of 4 people must be chosen from 5 pairs of dance partners. If 2 dance partners can never be together on the delegation, how many different ways are there to form the delegation?
Choices:
30
60
70
80
Answer: D
Question: If x = 1- 2t and y = 2t - 2, then for what value of t does x = y?
Choices:
3/2
3/4
2/5
0
Answer: B
Question: If x and y are positive integers, and 4x^2=2y, then which of the following must be a multiple of 9?
I. x^2
II. y^2
III. xy
Choices:
II only
III only
I and II only
I, II and III
Answer: A
Question: The average (arithmetic mean) of 20, 40, and 60 is 8 more than the average of 10, 70, and what number?
Choices:
16
35
45
55
Answer: A
Question: Anil had to do a multiplication. Instead of taking 35 as one of the multipliers, he took 53. As a result, the product went up by 540. What is the new product?
Choices:
1590
1950
1630
1760
Answer: A
Question: Murali travelled from city A to city B at a speed of 50 kmph and from city B to city C at 50 kmph. What is the average speed of Murali from A to C given that the ratio of distances between A to B and B to C is 2 : 3?
Choices:
kmph
kmph
kmph
kmph
Answer: A
Question: A city council will select 2 of 9 available firefighters and 1 of 4 available police officers to serve on an advisory panel. How many different groups of 3 could serve on the panel?
Choices:
72
144
216
432
Answer: B
Question: you need to pict any number from 1, 3,5,7,9,11,13 and 15 to make below equation true.
()+()+()=30
can you solve it?
Choices:
6+15+9
6+14+9
6+15+8
8+15+9
Answer: A
Question: A number is said to be a “digifac” if each of its digits is a factor of the number itself. What is the sum Z of the missing digits of the following five-digit digifac: 9, 5, 3 _ _ ?
Choices:
7
9
10
14
Answer: C
Question: If $0.80 is the commission for sales of $2,000, what percent of the sales amount is the commission?
Choices:
0.4%
0.04%
0.004%
0.0004%
Answer: B
Question: A bookseller sells his books at a 10% markup in price. If he sells a book for $11.00, how much did he pay for it?
Choices:
$14.00
$10.00
$9.60
$5.00
Answer: B
Question: Which of the following could be the sides of an obtuse angled triangle? all values are in degree
I. 19, 29, 39
II. 29, 39, 49
III. 10,110, 60
Choices:
III only
III only
I and II only
I, II and III
Answer: A
Question: With what number must 6.2587 be multiplied in order to obtain the number 625.87?
Choices:
1,0000
100
100,000
None of these
Answer: B
Question: Students of three different classes appeared in common examination. Pass average of 10 students of first class was 60%, pass average of 15 students of second class was 60% and pass average of 25 students of third class was 80% then what will be the pass average of all students of three classes?
Choices:
75%
69%
70%
None
Answer: C
Question: A car crosses a 600 m long bridge in 5 minutes. Whatis the speed of car in km per hour?
Choices:
7.2 km/hr
7.4 km/hr
7.8 km/hr
8.9 km/hr
Answer: A
Question: Which of the following inequalities is always true for any non-negative real numbers numbers 'x' and 'y'?
Choices:
(x+y)^2 <= x^2 + y^2
(x+y)^2 = x^2 + y^2
(x+y)^2 <= x^2 + y^2
(x+y)^2 >= x^2 + y^2
Answer: D
Question: In a certain sequence, the first term is 2, and each successive term is 2 more than the reciprocal of the term that immediately precedes it. What is the fifth term in this sequence?
Choices:
21/13
58/5
70/29
82/13
Answer: C
Question: Maxwell leaves his home and walks toward Brad's house. One hour later, Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 74 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h. What is the total time it takes Maxwell before he meets up with Brad?
Choices:
4
5
6
8
Answer: D
Question: The number of roots common between the two equations x3 + 3x2 + 4x + 5 = 0 and x3 + 2x2 + 7x + 3 = 0 is
Choices:
0
2
3
4
Answer: A
Question: If 4XZ + YW = 4 and XW + YZ = 8, what is the value of the expression (2X + Y)(2Z + W)?
Choices:
20
24
26
28
Answer: A
Question: B completes a work in 7 days. A alone can do it in 10 days. If both work together, the work can be completed in how many days?
Choices:
4.11 days
5.11days
6.75 days
7.33 days
Answer: A
Question: In one hour, a boat goes 8 km along the stream and 2 km against the stream. the sped of the boat in still water (in km/hr) is :
Choices:
5
8
9
10
Answer: A
Question: If x/4 + 24/x = 5, what are the values of 2x - 7?
Choices:
8 and 24
17 and 21
12 and 29
17 and 9
Answer: D
Question: There are three departments having students 62,58,24 .In an exam they have to be seated in rooms such that each room has equal number of students and each room has students of one type only (No mixing of departments). Find the minimum number of rooms required?
Choices:
72
75
76
77
Answer: A
Question: On the independence day, bananas were be equally distributed among the children in a school so that each child would get two bananas. On the particular day 350 children were absent and as a result each child got two extra bananas. Find the actual number of children in the school?
Choices:
287
197
287
700
Answer: D
Question: P runs 25% faster than Q so P gives Q a 60 meter head start. If the race ends in a tie, how far (in meters) did P run in the race?
Choices:
200
300
400
500
Answer: B
Question: Ramu bought an old car for Rs. 42000. He spent Rs. 13000 on repairs and sold it for Rs. 64500. What is his profit percent?
Choices:
77
17.3
99
88
Answer: B
Question: Indu gave Bindu Rs.1250 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest?
Choices:
2
9
5
1
Answer: A
Question: Let x be a positive integer, what is the remainder when 2^(3x+3)+3 is divided by 3?
Choices:
1
2
3
4
Answer: A
Question: A polling company surveyed a certain country, and it found that 35% of that country’s registered voters had an unfavorable impression of both of that state’s major political parties and that 20% had a favorable impression only of Party W. If one registered voter has a favorable impression of both parties for every two registered voters who have a favorable impression only of Party B, then what percentage of the country’s registered voters have a favorable impression of both parties (assuming that respondents to the poll were given a choice between favorable and unfavorable impressions only)?
Choices:
15
30
35
45
Answer: A
Question: If x < y < z and y-x > 11, where x is an even integer and y and z are odd integers, what is the least possible value of z - x?
Choices:
7
8
9
15
Answer: D
Question: The profit obtained by selling an article for Rs. 66 is the same as the loss obtained by selling it for Rs. 22. What is the cost price of the article?
Choices:
Rs. 50
Rs. 49
Rs. 59
Rs.44
Answer: D
Question: If 25% of a number is equal to one-third of another number, what is the ratio of first number to the second number?
Choices:
4:3
3:7
6:11
2:3
Answer: A
Question: If 7a - 3b = 10b + 50 = -12b - 2a, what is the value of 9a + 9b?
Choices:
-6
0
6
9
Answer: B
Question: A pupil's marks were wrongly entered as 73 instead of 40. Due to the average marks for the class got increased by half. The number of pupils in the class is?
Choices:
82
66
27
77
Answer: B
Question: On a scale that measures the intensity of a certain phenomenon, a reading of a+1 corresponds to an intensity that is 10 times the intensity corresponding to a reading of a. On that scale, the intensity corresponding to a reading of 8 is how many times as great as the intensity corresponding to a reading of 3?
Choices:
50
10^5
5^10
8^10 - 3^10
Answer: B
Question: Two family reunions are happening at the same hotel, the Oates reunion and the Yellow reunion. All 100 guests at the hotel attend at least one of the reunions. If 42 people attend the Oates reunion and 65 people attend the Yellow reunion, how many people attend both reunions?
Choices:
7
10
16
22
Answer: A
Question: Harriet planned to complete a certain task on Wednesday, January 1, but because of illness the completion date was postponed 45 days. On which day of the week in February was the task completed?
Choices:
Wednesday
Saturday
Sunday
Monday
Answer: B
Question: If abc = ab^3 = 180 where a, b and c are positive integers, what is the value of `c’?
Choices:
1
2
3
4
Answer: A
Question: Find the number of ways in which 8064 can be resolved as the product of two factors?
Choices:
24
21
20
19
Answer: A
Question: How many paying stones, each measuring 4 m * 2 m are required to pave a rectangular court yard 40 m long and 20 m board?
Choices:
18
100
17
12
Answer: B
Question: 4000 was divided into two parts such a way that when first part was invested at 3% and the second at 5%, the whole annual interest from both the investments is Rs.144, how much was put at 3%?
Choices:
2882
2800
2677
2211
Answer: B
Question: A shop produces sarongs. The daily average production is given by 5n + 20, where n is the number of workers aside from the owner. In the first k days, 500 units are produced, and then 5 workers are added to the team. After another k days, the cumulative total is 900. How many workers were part of the latter production run?
Choices:
B)10
C)11
D)15
E)34
Answer: D
Question: An amount at compound interest sums to Rs.17640/- in 2 years and to Rs.18522/- in 3 years at the same rate of interest. Find the rate percentage?
Choices:
5%
7%
8%
9%
Answer: A
Question: An urn contains g green marbles and b blue marbles. If 3 green marbles and 4 blue marbles are added, and then one marble is selected at random from the urn, what is the probability that a blue marble will be drawn?
Choices:
(b+5)/(g+3)
(b+5)/(b+g+8)
(b+4)/(b+g+7)
b/(b+g+5)
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.300 when the rate to profit rises from 5 to 7 percent. Find the Capital of C?
Choices:
2899
3750
2778
1991
Answer: B
Question: Walking at 5/6th of its usual speed a cab is 6mnts late. Find its usual time to cover the journey?
Choices:
30m
32m
50m
62m
Answer: A
Question: A certain auto manufacturer sold 4% fewer vehicles in 2007 than in 2006. If the manufacturer sold 2.1 million vehicles in 2006, how many vehicles, to the nearest 10,000, did the manufacturer sell in 2007?
Choices:
2,000,000
2,030,000
2,040,000
2,300,000
Answer: A
Question: If (12z)/(5 - 6x/y) = 4z then which of the following is true?
Choices:
3x = 2y
x = 3y
3x = y
2x = y
Answer: C
Question: The sum and the product of two numbers are 25 and 144 respectively, the difference of the number is?
Choices:
6
7
8
2
Answer: B
Question: 76 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part?
Choices:
38.25
33.25
34.25
31.25
Answer: B
Question: A, B and C enter into a partnership and their shares are in the ratio 1/2 : 1/3 : 1/4. After 2 months, A withdraws half of his capital and after 10 months, a profit of Rs. 378 is divided among them. What is B's share ?
Choices:
144
377
288
271
Answer: A
Question: Of the 50 researchers in a workgroup, 50 percent will be assigned to Team A and the remaining 50 percent to Team B. However, 70 percent of the researchers prefer Team A and 30 percent prefer Team B. What is the lowest possible number of researchers who will NOT be assigned to the team they prefer?
Choices:
17
10
25
30
Answer: B
Question: John had a stock of 1200 books in his bookshop. He sold 75 on Monday, 50 on Tuesday, 64 on Wednesday, 78 on Thursday and 135 on Friday. What percentage of the books were not sold?
Choices:
66.5%
56.5%
46.5%
26.5%
Answer: A
Question: In a class,9 students like to play Basketball and 8 like to play Cricket. 6 students like to play on both Basketball and Cricket. How many students like to play Basketball or Cricket or both?
Choices:
11
16
18
22
Answer: A
Question: What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 58?
Choices:
3944
5525
2466
2665
Answer: A
Question: Three years ago the average age of a family of six members was 19 years. A boy have been born, the average age of the family is the same today. What is the age of the boy?
Choices:
6
2
3
1
Answer: D
Question: Lakshmi has $100 in her piggy bank. How much will she have in her bank 15 weeks from now if she puts $1 in the bank next week, $2 two weeks from now, $3 three weeks from now, and continues to increase the amount that she puts in by $1 each week?
Choices:
220
230
240
250
Answer: A
Question: If the average (arithmetic mean) of 5 positive temperatures is x degrees Fahrenheit, then the sum C of the 3 greatest of these temperatures, in degrees Fahrenheit, could be
Choices:
C=4x
C=5x/3
C=3x/2
3x/5
Answer: A
Question: A lighting store is stocked with 410 fixtures. Some of the fixtures are floor lamps and the rest are table lamps. If 5% of the floor lamps and 30% of the table lamps are imported, what is the smallest possible number of imported lamps stocked at the store?
Choices:
10
13
20
23
Answer: D
Question: I have a fruit basket with only apples, pears and oranges. I have as many apples in grams as pears in hectograms, and I have as many apples in hectograms and oranges in kilograms. I have a total of 60 kilograms of fruit. How many oranges in kilograms do I have?
Choices:
5 kilograms
10 kilograms
15 kilograms
50 kilograms
Answer: A
Question: A carpenter constructed a rectangular sandbox with a capacity of 10 cubic feet. If the carpenter made instead a sandbox which was twice as long, twice as wide and twice as high as the original, what would the capacity be of the new larger sandbox?
Choices:
40
60
80
100
Answer: C
Question: A farmer spent $35 on feed for chickens and goats. He spent 40% money on chicken feed, which he bought at a 60% discount off the full price, and spent the rest on goat feed, which he bought at full price. If the farmer had paid full price for both the chicken feed and the goat feed, what amount would he have spent on the chicken feed and goat feed combined?
Choices:
$38.50
$39.20
$39.50
$51
Answer: D
Question: don and his wife each receive an 8 percent annual raise. if don receives a raise rs.800 and his wife receives a raise of rs. 840, what is the difference between their annual income after their raises?
Choices:
460
500
540
150
Answer: C
Question: A is faster than B. A and B each walk 24 km. The sum of their speeds is 7 km/hr and the sum of times taken by them is 14 hours. Then, A's speed is equal to?
Choices:
3 km/hr
4 km/hr
7 km/hr
8 km/hr
Answer: A
Question: Natasha climbs up a hill, and descends along the same way she went up. It takes her 4 hours to reach the top and 2 hours to come back down. If her average speed along the whole journey is 4 kilometers per hour, what was her average speed (in kilometers per hour) while climbing to the top?
Choices:
2.5
3
3.25
3.5
Answer: B
Question: In an election between two candidates, 10% of votes are were declares invalid. First candidate got 5400 votes which were 60% of the total valid votes . The total number of votes enrolled in that election was:
Choices:
98000
30000
11000
12000
Answer: B
Question: John is facing very difficult financial times and can only pay the interest on a $10,000 loan he has taken. The bank charges him a quarterly compound rate of 10%. What is the approximate interest he pays annually?
Choices:
9500
2500
2000
4500
Answer: D
Question: If n = 3^8 – 2^6 which of the following is NOT a factor of n?
Choices:
65
73
89
1
Answer: A
Question: A trader mixes 80 kg of tea at 15 per kg with 20 kg of tea at cost price of 20 per kg. In order to earn a profit of 40%, what should be the sale price of the mixed tea?
Choices:
22.4
20
19.2
None of these
Answer: A
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?
Choices:
12/14
33/91
8/22
9/36
Answer: B
Question: A rectangular floor that measures 24 meters by 64 meters is to be covered with carpet squares that each measure 8 meters by 8 meters. If the carpet squares cost $24 apiece, what is the total cost for the number of carpet squares needed to cover the floor?
Choices:
$576
$480
$960
$1,920
Answer: A
Question: a dealer buys 4 varieties of wheat costing rs. 18,rs.20,rs.22 and rs.24 per kg in the ratio 2:1:3:4 and mixes all the four varieties and sells at 50% profit. What is the selling price per kg of wheat?
Choices:
31.8
32.0
32.7
34.0
Answer: C
Question: . In digging a pond 17 m * 20 m * 4 m the volumes of the soil extracted will be?
Choices:
1360
2877
2992
7111
Answer: A
Question: Luke and Seth started out to visit Uncle Arnie. After driving 50 miles, they saw a restaurant, and
Luke wanted to stop for lunch. Seth wanted to look for something better, so they drove on for 8
miles before giving up and going back to the restaurant. After eating they traveled on for 26 more
miles from the restaurant. Seth saw a sign for a classic car museum, which they decided to visit.
The museum was 6 miles from their route. After returning to the main road, they drove for another 40
miles and arrived at Uncle Arnie’s house.How many miles did they drive on the way there?
Choices:
344 miles
244 miles
144 miles
644 miles
Answer: C
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, 80 percent of books that were loaned out are returned and there are 64 books in the special collection at that time, how many books of the special collection were loaned out during that month?
Choices:
30
35
40
55
Answer: D
Question: Dexter and Prexter are competing with each other in a friendly community competition in a pool of 50 m length and the race is for 1000 m. Dexter crosses 50 m in 2 min and Prexter in 3 min 15 sec. Each time they meet/cross each other, they do handshake's. How many such handshake's will happen if they start from the same end at the same time?
Choices:
18
19
20
22
Answer: B
Question: The speed of a train is 70 kmph excluding stoppages and including stoppages it is 63 kmph. Of how many minutes does the train stop per hour?
Choices:
6
7
9
14
Answer: A
Question: A fort had provision of food for 150 men for 45 days. After 15 days, 25 men left the fort. The number of days for which the remaining food will last, is:
Choices:
36
42
54
48
Answer: A
Question: 70,54,45,41 ?
Choices:
43
44
40
39
Answer: C
Question: A man took some money for borrowed, for 3 years the total will be Rs.6000 and 5 years it will be Rs.7000/-. Then how much amount he borrowed?
Choices:
s.4500/-
s.4770/-
s.4800/-
s.4820/-
Answer: A
Question: If 1/a + 3/a + 3/a is an integer, which of the following must also be an integer?
Choices:
3/a
7/a
9/a
15/a
Answer: B
Question: The H.C.F. of two numbers is 63 and the other two factors of their L.C.M. are 11 and 17. The larger of the two numbers is:
Choices:
2132
1111
4323
1071
Answer: D
Question: At a local supermarket, a box of cereal usually costs 13 dollars. This week, the supermarket sells the box of cereal for 7 dollars. How much money will you save if you buy this cereal at this supermarket?
Choices:
3 dollars
4 dollars
2 dollars
6 dollar
Answer: D
Question: A is twice as good a workman as B and together they finish a piece in 18 days. In how many days will A alone finish the work?
Choices:
26 days
23 days
45 days
27 days
Answer: D
Question: For four days of work, a clerk had daily earnings of $160, $150, $160, and $160 respectively. In which of the following intervals does the standard deviation of the daily earnings lie?
Choices:
Between $0 and $10
Between $20 and $25
Between $50 and $100
Between $50 and $65
Answer: A
Question: Sophia finished 2/3 of a book. She calculated that she finished 90 more pages than she has yet to read. How long is her book?
Choices:
270
250
230
None
Answer: A
Question: The average score of a cricketer for six matches is 36 runs. If the average for first four matches is 32, then average for last 2 matches is
Choices:
46
44
34.5
35.5
Answer: B
Question: A group of 11 people plan to rent a van and agree to share equally the total cost of the rental, which is E dollars. If n of the people decide not to participate at the last minute, by how many dollars will each remaining person's share of the total cost increase?
Choices:
(12 - n)/E
E/[12(12-n)]
nE / [11(11-n)]
(12-n)E/(12n)
Answer: C
Question: The cost price of 17 articles is equal to the selling price of 11 articles. Find the profit percent?
Choices:
54 6/11%
58 9/11%
58 2/91%
52 2/11%
Answer: A
Question: 10 men, working 7 hours a day can complete a work in 18 days. How many hours a day must 15 men work to complete the work in 12 days ?
Choices:
5 hours a day
6 hours a day
7 hours a day
8 hours a day
Answer: C
Question: Consider the sets Tn = {n, n + 1, n + 2, n + 3, n + 4}, where n = 1, 2, 3,...., 72. How many of these sets contain 6 or any integral multiple thereof (i.e., any one of the numbers 6, 12, 18, ...)?
Choices:
(b) 81
(c) 60
(d) 83
(e) 84
Answer: B
Question: Lloyd normally works 7.5 hours per day and earns $5.50 per hour. For each hour he works in excess of 7.5 hours on a given day, he is paid 1.5 times his regular rate. If Lloyd works 10.5 hours on a given day, how much does he earn for that day?
Choices:
$47.25
$51.75
$54.00
$66.00
Answer: D
Question: The forth proportional to 100,200,300 is?
Choices:
600
750
450
1000
Answer: A
Question: If the speed of X meters per second is equivalent to the speed of Y kilometers per minute, what is Y in terms of X? (1 kilometer=1000 meters)
Choices:
0.06x
18x/5
60x
3600000x
Answer: A
Question: Assuming i have an infinite supply of coins.
What is the fewest number of coins would be required in order to make sure each and every coin touched exactly three other coins.
Choices:
5
4
8
9
Answer: B
Question: If line L passes through point (m, n) and (– m, – n), where m and n are not 0, which of the following must be true?
I.	The slope of L is positive
II.	L exactly passes through origin
III.	The slope of L is negative
Choices:
II only
I only
I and II only
II and III only
Answer: A
Question: 85% of a number is added to 24, the result is the same number. Find the number?
Choices:
288
279
160
232
Answer: C
Question: There are 5 boxes of different weights. They are weighed in pairs taken 2 at a time and the weights obtained are 110, 112, 113, 114, 115, 116, 117, 118, 120 and 121. What is the sum of the weights of the 5 boxes ?
Choices:
289
290
295
305
Answer: A
Question: The average of 5 quantities is 10. The average of 3 of them is 4. What is the average of remaining 2 numbers?
Choices:
19
8
9.5
None of these
Answer: A
Question: John needs 4 balls out of 10 balls.How many ways are possible?
Choices:
220
630
540
720
Answer: B
Question: A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
Choices:
4991
5004
5000
5002
Answer: A
Question: A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. IN what ratio will the profit be shared at the end of 3 years?
Choices:
3:4:7
4:5:9
6:5:9
None of these
Answer: A
Question: What is the greatest value of n such that 30!/6^n is an integer?
Choices:
12
13
14
15
Answer: C
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, 26 have long fur, 30 are brown, and 8 are neither long-furred nor brown. How many long-furred dogs are brown?
Choices:
19
11
8
6
Answer: A
Question: If v persons take y days to complete z similar jobs, how long does it take y persons to complete 1 such job?
Choices:
x
x/y
z/x
y/z
Answer: D
Question: An empty fuel tank is filled with brand Z gasoline. When the tank is half empty, it is filled with brand Y gasoline. When the tank is half empty again, it is filled with brand Z gasoline. When the tank is half empty again, it is filled with brand Y gasoline. At this time, what percent F of the gasoline in the tank is brand Z?
Choices:
40%
37.5%
331⁄3%
25%
Answer: B
Question: If 6887 books need to be placed in boxes and each box can contain at most 9 books. How many books will be in the last unfilled box?
Choices:
2 books
3 books
4 books
5 books
Answer: A
Question: Using all the letters of the word "SULOCHANA", how many words can be formed, which begin with M and end with M?
Choices:
5040
3028
6078
1025
Answer: A
Question: If Ben's income is Rs 35000, calculate his savings given that his income and expenditure are in the ratio 7:4.?
Choices:
Rs 9800
Rs 9000
Rs 7000
Rs.15000
Answer: D
Question: What is the perimeter of a regular polygon with sides of length 13 cm and internal angles measuring 144° each?
Choices:
108 cm
120 cm
130 cm
144 cm
Answer: C
Question: Water is poured in a bath tub at a rate of 11 cubic meters per hour, the level of water in the bath tub rises at a rate of .3 meters per hour. Which of the following best approximates the diameter of the tank in meters?
Choices:
√10/2
2√35/3
5
7
Answer: B
Question: The cross-section of a cannel is a trapezium in shape. If the cannel is 8 m wide at the top and 2 m wide at the bottom and the area of cross-section is 770 sq m, the depth of cannel is?
Choices:
152
154
156
158
Answer: B
Question: Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.85. How much was lent at 5%?
Choices:
2998
277
500
271
Answer: C
Question: A bag contains 2 yellow, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?
Choices:
10/21
09/21
11/21
13/21
Answer: A
Question: A man whose speed is 5.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey ?
Choices:
5 kmph
6 kmph
4 kmph
7 kmph
Answer: A
Question: In Town P, 60 percent of the population are employed, and 42 percent of the population are employed males. What percent of the employed people in Town P are females?
Choices:
25%
30%
35%
40%
Answer: B
Question: How many cubes of 3cm edge can be cut out of a cube of 18cm edge
Choices:
232
216
484
112
Answer: B
Question: If F is the product of all positive integers less than 31, than what is the greatest integer k for which F/18^k is an integer?
Choices:
6
7
14
26
Answer: B
Question: A and B together can complete a piece of work in 4days. If A alone can complete the same work in 12days, in how many days, in how many days can B alone complete that work?
Choices:
6
10
12
5
Answer: A
Question: If f(x)= 5x^3- 2x+8 and g(y)= 5y-4, then g(f(x)) =
Choices:
11x^2-12x+44
8x^3-8x+32
25x^3-10x+36
30x^3-12x+44
Answer: C
Question: The sum of two consecutive number is 87. Which is the larger number?
Choices:
43
44
45
46
Answer: B
Question: A man can row upstream at 27 kmph and downstream at 35 kmph, and then find the speed of the man in still water?
Choices:
31
30
32
23
Answer: A
Question: In a certain circle there are 9 points. What is the number of the triangles connecting 4 points of the 9 points?
Choices:
96
108
126
132
Answer: C
Question: On a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. On both days, all the orangeade that was made was sold. If the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $0.60 per glass on the first day, what was the price per glass on the second day?
Choices:
$0.20
$0.30
$0.40
$0.45
Answer: C
Question: There are 7 identical pens and 9 identical books. In how many different ways can a person select at least one object from this set?
Choices:
31
48
79
90
Answer: C
Question: X, Y and Z started a business X's investment is 2 times of Y's investment is 5 times of Z's investment. Find the profit of Y in the total profit of Rs. 3200
Choices:
Rs. 8500
Rs. 1000
Rs. 8000
None of these
Answer: B
Question: Kamal started a business investing Rs. 9000. After five months, Sameer joined with a capital of Rs. 8000. If at the end of the year, they earn a profit of Rs. 6970, then what will be the share of Sameer in the profit?
Choices:
Rs.2380
Rs.8868
Rs.2477
Rs.6271
Answer: A
Question: How much time will take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
Choices:
4 years
4.5 years
5 years
6 years
Answer: A
Question: A take twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 6 days. B can do the work alone in?
Choices:
36
11
19
114
Answer: A
Question: What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20%?
Choices:
20%
42%
27%
22%
Answer: A
Question: If x^2 + 9/x^2 = 7, what is the value of x - 3/x
Choices:
1
9
5
3
Answer: A
Question: If p is a natural number and p! ends with y trailing zeros, then the number of zeros that (5p)! ends with will be
Choices:
(p+y) trailing zeros
(5p+5y) trailing zeros
(p+5y) trailing zeros
none of them above
Answer: A
Question: Find out the next word in the series below...
FAG, GAF, HAI, IAH, ...?
Choices:
JAK
HGF
JAH
KHG
Answer: A
Question: If S=x^4 + y^4 = 100, then the greatest possible value of x is between
Choices:
3 and 6
6 and 9
9 and 12
12 and 15
Answer: A
Question: In a mixture of 60 litres, the ratio of acid to base is 2 : 1. If this ratio is to be 1 : 2, then the quantity of base (in litres) to be further added is
Choices:
30
40
50
60
Answer: D
Question: A train 175 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
Choices:
50
12
13
68
Answer: D
Question: The radius of a circle is increased by 1%. Find how much % does its area increases?
Choices:
2.71%
2.05%
2.01%
2.02%
Answer: C
Question: A person takes 5hrs 45 min in walking to a place and riding back. He would have gained 6 hrs by riding both ways. The time he would take to walk both ways is?
Choices:
5 hours 55 min
6 hours 45 min
11 hours 45 min
12 hours
Answer: C
Question: For any integer k greater than 1, the symbol k* denotes the product of all the fractions of the form 1/t, where t is an integer between 1 and k, inclusive. What is the value of 3*/5* ?
Choices:
5/4
4/5
1/4
1/5
Answer: A
Question: The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8339 for a computer table, then what was the cost price of the computer table?
Choices:
2772
1991
6725
2099
Answer: C
Question: If two negative numbers are multiplied the product is 150. If the lesser of the two is 35 less than triple the greater number, what is the greater number?
Choices:
-13
-17
-12
-15
Answer: D
Question: The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 12 units?
Choices:
170 sq.units
190 sq.units
168 sq.units
149 sq.units
Answer: C
Question: 66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be:
Choices:
84
80
72
68
Answer: A
Question: Mixture of milk & water has been kept in two separate bowl. Ratio of milk to water in one of the bowls is 5 : 1 and that in the other bowl 7 : 2. In what ratio the mixtures of these 2 bowl should be added together so that the quantity of milk in the new mixture may become 80%?
Choices:
2:3
2:5
3:7
4:5
Answer: A
Question: The sale price sarees listed for Rs.390 after successive discount is 15% and 25% is?
Choices:
237
248
876
291
Answer: B
Question: In a market there are men and horses. In all, there are 22 heads and 66 feet. How many men and how many horses are in the market?
Choices:
7 men and 14 horses.
6 men and 14 horses.
5 men and 14 horses.
11 men and 11 horses.
Answer: D
Question: A train met with an accident 80km away from station A. It completed the remaining journey at 5/6th of the original speed and reached station B 1hr 12mins late. Had the accident taken place 60km further, it would have been only 1hr late. what was the original speed of the train?
Choices:
55 km/hr
65 km/hr
80 km/hr
48 km/hr
Answer: C
Question: An investor deposited $10,000 to open a new savings account that earned 12 percent annual interest, compounded quarterly. If there were no other transactions in the account, what was the amount of money in the account 6 months after the account was opened?
Choices:
$10,303
$10,600
$10,609
$10,900
Answer: C
Question: In a deck of cards there are 52 cards numbered from 1 to 13. There are 6 cards of each number in the deck. If you insert 12 more cards with the number 10 on them and you shuffle the deck really good, what is the probability to pull out a card with a number 10 on it?
Choices:
4/17.
5/29.
4/13.
9/32
Answer: D
Question: A coin is tossed twice if the coin shows head it is tossed again but if it shows a tail then a die is tossed. If 8 possible outcomes are equally likely. Find the probability that the die shows a number greater than 4, if it is known that the first throw of the coin results in a tail
Choices:
1/3
2/3
3/6
1/4
Answer: A
Question: The average of six results is 15 and that of the first five is 13. The sixth result is?
Choices:
25
15
22
18
Answer: A
Question: The average of 10 numbers is 40.2. Later it is found that two numbers have been wrongly copied. The first is 18 greater than the actual number and the second number added is 13 instead of 31. Find the correct average.
Choices:
40.2
40.6
40.8
None of the above
Answer: A
Question: The numbers in which of the following pairs do NOT have a pair of distinct prime divisors in common ?
Choices:
12 and 18
24 and 32
21 and 63
22 and 88
Answer: B
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 E?
Choices:
80
40
120
160
Answer: A
Question: There are 16 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:
900
1050
1200
1350
Answer: C
Question: Out of the five integral numbers C is the average of A and D. B is greater than C and less than D.Also B is the average of A and E . The middle most number in the sequence ?
Choices:
B
C
D
E
Answer: A
Question: At what rate percent per annum will the simple interest on a sum of money be 4/5 of the amount in 10 years?
Choices:
7%
8%
3%
1%
Answer: B
Question: Three pipes A,B and C are attached to a tank.A and B can fill it in 20 and 30 minutes respectively while C can empty it in 15 minutes.If A,B and C are kept open successively for 1 minute each, how soon will the tank be filled?
Choices:
166 min
167 min
168 min
169 min
Answer: B
Question: A certain club has exactly 5 new members at the end of its first week. Every subsequent week, each of the previous week's new members (and only these members) brings exactly L new members into the club. If y is the number of new members brought into the club during the twelfth week, which of the following could be y?
Choices:
3^11 * 5^11
3^12 * 5^12
3^11 * 5^12
60^12
Answer: C
Question: a' and 'b' are positive integers such that their LCM is 20 and their HCF is 1. What is the addition between the maximum and minimum possible values of 'a - b'?
Choices:
0
24
26
18
Answer: A
Question: A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train?
Choices:
27
299
277
150
Answer: D
Question: A book club rented the party room of a local restaurant to meet and discuss its current novel over dinner. The total charge, including food and service, was $ 950. If each member of the club paid at least $ 42, then what is the greatest possible number of members in the club?
Choices:
20
21
25
23
Answer: D
Question: what is the value of (4)^-6 ?
Choices:
1/6400
1/6550
1/6660
1/4096
Answer: D
Question: Set B consists of the following unique integers: -2, 17, 3, n, 2, 15, -3, and -27; which of the following could be the median of set B?
Choices:
4
1
7
76
Answer: B
Question: A baker filled with a measuring cup with a cup water. He poured 1/2 of the water into the batter, and then spilled 1/8 of the water on the floor. How much water will the baker needed to add what is left in the cup to have 50% more than what he started with?
Choices:
3/8 cup
1/4 cup
1/2 cup
9/8 cup
Answer: D
Question: One thief entered a cave where he found a pile of diamonds. At first he thought of taking all. But listening to his conscience he thought of taking only half of them. But while returning he picked up two more from the pile. After that Second thief entered the cave and bagged half of remaining diamonds and picked up two more while returning. Later third thief entered and did the same. Even the fourth thief did the same. When the fifth thief entered he found only one diamond in the cave. How many diamonds are there in the cave at first.
Choices:
75
76
77
78
Answer: B
Question: If 11.25 m of a uniform steel rod weighs 42.75 kg. what will be the weight of 8 m of the same rod?
Choices:
25.6 kg
28 kg
30.4 kg
None of these
Answer: C
Question: A set of 13 different integers has median of 25 and a range of 25. What is greatest possible integer that could be in this set?
Choices:
37
40
43
41
Answer: D
Question: Of the 10 temporary employees in a certain company, 4 will be hired as permanent employees. If 5 of the 12 temporary employees are women, how many of the possible groups of 4 employees consist of 3 women and one man?
Choices:
50
56
70
105
Answer: A
Question: I had a certain amount of candies with me. I gave half of them with one more to my first son. Then, I gave the remaining half with one more to the younger son. Now I was left with just one candy.
How much candies did I have in the beginning?
Choices:
10
22
25
12
Answer: A
Question: Two employees X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
Choices:
Rs.250
Rs.290
Rs.299
Rs.300
Answer: A
Question: Three numbers are in the ratio 3:4:5 and their L.C.M. is 1800. Their H.C.F is?
Choices:
30
40
50
60
Answer: A
Question: There are some pigeons and hares in a zoo. If heads are counted, there are 200. If legs are counted, there are 880. The number of hares in the zoo is?
Choices:
99
77
66
240
Answer: D
Question: A and B complete a work in 3 days. A alone can do it in 9 days. If both together can do the work in how many days?
Choices:
4.75 days
3.25 days
3.15 days
2.75 days
Answer: A
Question: There are 11 cans in the refrigerator. 6 of them are red and 5 of them are blue. In how many ways we can remove 8 cans so that at least one red and at least one blue cans to remain the refrigerator.
Choices:
490
493
455
445
Answer: D
Question: What is the probability, to 3 decimal places, that at least two people in a room share the same birthday if there are eleven people in the room? (Assume nobody was born on a leap year)
Choices:
0.03
0.076
0.141
0.271
Answer: C
Question: The average of first 10 natural numbers is?
Choices:
5.5
5.4
5.2
5.9
Answer: A
Question: A farmer is planting a row consisting of 4 unique apple trees and 5 unique orange trees. How many ways are there for the farmer to plant the trees such that no apple tree is adjacent to another apple tree and no orange tree is adjacent to another orange tree?
Choices:
5760
1,024
1,152
10,080
Answer: A
Question: A tap can fill a tank in 6 hours. After half the tank is filled three more similar taps are opened. What is the total time taken to fill the tank completely?
Choices:
3 hrs 45 min
3 hrs 85 min
3 hrs 75 min
3 hrs 25 min
Answer: A
Question: A man can row 7 ½ kmph in still water.if in a river running at 1.5 km/hr an hour,it takes him 50 minutes to row to a place and back,how far off is the place?
Choices:
1 km
2.5km
2 km
3 km
Answer: D
Question: In an election between two candidates, the winner has a margin of 10% of the votes polled. If 4000 people change their mind and vote for the loser, the loser would have won by a margin of 10% of the votes polled. Find the total number of votes polled in the election?
Choices:
10000
40000
12000
5000
Answer: B
Question: A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 48 years now, the son's age five years back was:
Choices:
B)67
C)19
D)89
E)34
Answer: B
Question: What is the probability for a family with four children to have a girl and three boys (assuming the probability of having a boy or a girl is equal)?
Choices:
1/3
1/4
1/8
1/16
Answer: B
Question: Tom opened a shop investing Rs.3000. Jose joined him 2 months later, investing Rs.4000. They earned a profit of Rs.4230 after completion of one year. What will be Jose's share of profit?
Choices:
2200
2309
2350
3250
Answer: C
Question: Working alone, Printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 12, 40, and 50 hours, respectively. What is the ratio of the time it takes Printer X to do the job, working alone at its rate, to the time it takes Printers Y and Z to do the job, working together at their individual rates?
Choices:
1/2
15/22
200/9
11/4
Answer: C
Question: If X is to be chosen at random from the integers between 1 to 7, inclusive, and Y is to be chosen at random from the integers between 8 and 12, inclusive, what is the probability that X + Y will be even?
Choices:
3/7
5/7
17/35
24/35
Answer: C
Question: A, B and C can do a piece of work in 24 days, 30 days and 40 days respectively. They began the work together but C left 4 days before the completion of the work. In how many days was the work completed?
Choices:
77
66
11
99
Answer: C
Question: A reduction of 30% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg?
Choices:
47
48
49
50
Answer: B
Question: The number of positive integer solutions for the equation x +y +z + t = 30 is
Choices:
3654
3764
3960
4964
Answer: A
Question: Michael cashed a check for $1,100 and received only $10 and $50 bills in return. During the course of a day, he used 15 bills and then lost the rest of the money. If the number of $10 bills used was either one more or one less than the number of $50 bills used, what is the minimum possible amount of money that was lost?
Choices:
$630
$770
$730
$700
Answer: A
Question: 350 metres long yard, 26 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between 2consecutive trees
Choices:
12
14
16
17
Answer: B
Question: Working together, Wayne and his son can shovel the entire driveway in three hours. If Wayne can shovel five times as fast as his son can, how many hours would it take for his son to shovel the entire driveway on his own?
Choices:
6
8
9
12
Answer: A
Question: Mrs. B. invested $30,000; part at 5%, and part at 8%. The total interest on the investment was $2,100. How much did she invest at each rate?
Choices:
x = $5,000, y = $25,000.
x = $10,000, y = $20,000.
x = $15,000, y = $15,000
x = $20,000, y = $10,000
Answer: B
Question: In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race?
Choices:
190
277
266
255
Answer: A
Question: Q=(429)^2 * 237 * (1243)^3 is thrice of ?
Choices:
33654 * 538219 * (1243)^2
33891 * 533247 * (1243)^2
34122 * 532004 * (1243)^2
34606 * 534572 * (1243)^2
Answer: B
Question: The ratio of the number of ladies to gents at a party was 1:2 but when 2 ladies and 2 gents left, the ratio became 1:3. How many people were at the party originally?
Choices:
88
12
99
14
Answer: B
Question: Hydraulic press Machines P and Q are two different machines that cover jars in a factory. 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: D
Question: If 6^w is a factor of (10!)^2, What is the greatest possible value of w ?
Choices:
4
6
8
10
Answer: C
Question: A library has an average of 500 visitors on Sundays and 140 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is :
Choices:
200
300
400
550
Answer: A
Question: What is 35% of 4/13 of 650?
Choices:
60
70
80
90
Answer: B
Question: A starts a business with $3500. After 5 months, B joins with A as his partner. After a year, the profit is divided in the
ratio 2 : 3. B's contribution in the capital is
Choices:
9000
8000
9900
7900
Answer: A
Question: Together, Victor and Tami Vargas earn $33,280 per year. Tami earns $4,160 more per
year than Victor earns. How much do Tami earn per year?
Choices:
$8,720
$18,720
$38,720
$58,720
Answer: B
Question: A man invested Rs. 14,400 in Rs. 100 shares of a company at 20% premium.If the company declares 7% dividend at the end of the year,then how much does he get ?
Choices:
Rs. 840
Rs. 650
Rs. 720
None
Answer: A
Question: A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
Choices:
277
120
882
272
Answer: B
Question: Four dice are thrown simultaneously. Find the probability that all of them show the same face.
Choices:
1/216
5/300
1/415
1/500
Answer: A