antoine-444/aqua_rat_dataset huggingface dataset:
Question: There are 10 dozen mangoes in a box. If there are 36
such boxes, how many mangoes are there in all the
boxes together?
Choices:
3096
6192
628
4320
Answer: D
Question: A merchant has 100 Kg of Sugar, part of which he sells at 7 % profit and the rest at 17 % profit. He gains 10 % in the whole. How much is sold at 17 % profit ?
Choices:
Rs. 36
Rs. 27
Rs. 67.5
Rs. 77.5
Answer: D
Question: The ratio of sodium chloride to ammonium in 100 kg of mixed ammonium normally used by three chemists is 3: 14. The amount of sodium chloride to be added to 100 kg of mixed ammonium to make the ratio 9 :25 is
Choices:
12 kg
6.25 kg
6.35 kg
6.55 kg
Answer: A
Question: John had a stock of 1300 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:
23.8%
66.5%
69.0%
43.5%
Answer: C
Question: What is the difference between the local values of 8 in the number 58408?
Choices:
7992
2877
2077
6229
Answer: A
Question: 1297 x 1297 = ?
Choices:
A)1682209
C)1951602
D)1951603
E)1951604
Answer: A
Question: A dice is rolled 3 times. After each roll, the number on the top of the dice's face is noted. How many 3 digit numbers can be formed?
Choices:
18
3
108
100
Answer: C
Question: The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places?
Choices:
144
20
36
204
Answer: A
Question: A building contractor employs 20 male, 15 female and 5 child workers. To a male worker he pays Rs.25 per day, to a female worker Rs.20 per day and a child worker Rs.8 per day. The average wage per day paid by the contractor is?
Choices:
21
87
16
12
Answer: A
Question: The banker's discount of a certain sum of money is Rs. 36 and the true discount on the same sum for the same time is Rs. 30. What is the sum due?
Choices:
Rs. 180
Rs. 220
Rs. 200
None of these
Answer: A
Question: In a class, the average age of 30 boys is 13 years and the average of 20 girls is 12 years. what is the average age of the whole class?
Choices:
12.6
13
13.34
14.5
Answer: A
Question: If x, y, and z are consecutive positive integers greater than 1, not necessarily in that order, then which of the following is (are) true?
I. x > z
II. 2x+ 2y > 2z
III. yz > xz
IV. xy > y + z
Choices:
II only
II and III only
II and IV only
III and IV only
Answer: A
Question: How many digits in the number '5279143' will be as far away from the beginning of the number as when the digits are rearranged in ascending order from left to right within the number?
Choices:
1
4
6
09
Answer: A
Question: The octahedron is an eight-faced geometric solid that can be thought of as two square-based pyramids with the squares glued together. All eight faces of the octahedron are congruent equilateral triangles. Given that an edge is where the side of one equilateral triangles is attached to the side of another equilateral triangle, how many edges does the octahedron have?
Choices:
10
12
16
18
Answer: B
Question: A train 125 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 km/hr
54 km/hr
55 km/hr
60 km/hr
Answer: A
Question: Divide $ 1162 among A, B, C in the ratio 35 : 28 : 20.
Choices:
360,392,460
490,392,280
260,160,60
492,390,280
Answer: B
Question: In a ratio which is equal to 7:9, if the antecedent is 56, then the consequent is?
Choices:
72
64
51
45
Answer: A
Question: The speed at which a man can row a boat in still water is 24 kmph. If he rows downstream, where the speed of current is 8 kmph, what time will he take to cover 40 metres?
Choices:
4.49 seconds
26 seconds
12 seconds
16 seconds
Answer: A
Question: Ramu rides his bike at an average speed of 45 km/hr and reaches his desitination in four hours. Somu covers the same distance in six hours. If Ramu covered his journey at an average speed which was 9 km/hr less and Somu covered his journey at an average speed which was 10 km/hr more, then the difference in their times taken to reach the destination would be (in minutes).
Choices:
20 minutes
40 minutes
30 minutes
50 minutes
Answer: C
Question: A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 72, then how old is B?
Choices:
28 years
29 years
10 years
12 years
Answer: A
Question: A man gains 60% by selling an article for a certain price. If he sells it at double the price, the percentage of profit will be.
Choices:
320%
150%
160%
170%
Answer: A
Question: William and Bonnie are opposing participants in an online auction. Each has a constant bidding strategy: William always bids up by raising $40 over any previous bid. Bonnie always bids up by doubling any previous bid. The auction begins with an initial bid by a third player, and progresses as follows: William bids up first, and Bonnie follows. William bids up again, and Bonnie follows and raises the bid to a final $600. What was the dollar value of the initial price?
Choices:
57
35
89
90
Answer: D
Question: Find out the wrong term in the series 2, 10, 20, 200, 4000, 6000
Choices:
80,000
6000
800,000
60,000
Answer: C
Question: The average marks of a class of 30 students is 50 and that of another class of 50 students is 60. Find the average marks of all the students?
Choices:
56.25
52.1
52.3
42.5
Answer: A
Question: A certain company reported that the revenue on sales increased 40 % from 2000 to 2003, and increased 80 % from 2000 to 2005. What was the approximate percent increase in revenue for this store from 2003 to 2005?
Choices:
40 %
35 %
32 %
29 %
Answer: D
Question: Ammu is 9 years older than Surya, and Jacob is four times older than Ammu. If S is Surya’s age and J is Jacob’s age, what is the relationship between S and J?
Choices:
J = 4S + 26
J = 4S + 5
J = 4S + 36
J = 4S + 20
Answer: C
Question: Simplify: 1398 x 1398
Choices:
1954404
1954044
1954440
None of them
Answer: A
Question: A boat can travel with a speed of 15 km/hr in still water. If the speed of the stream is 5 km/hr. find the time taken by the boat to go 68 km downstream?
Choices:
3 hours
4 hours
3 hours 24 minutes
None
Answer: C
Question: Priya, Harini and Kalyani's pets costs Rs. 6000, Rs. 4000 and Rs. 8000 respectively. An addition of Rs. 300 tax added to Harini's pet cost. The difference between the tax costs of Priya and Kalyani is?
Choices:
150
250
500
140
Answer: A
Question: There are 10000 students in the particular school out of that 60% students are like science subject and of these , 20% are also like maths.If 20% of the students who like science and maths are girls students.then find out the number of girls student who like maths and science?
Choices:
120
240
280
360
Answer: B
Question: A fair price shopkeeper takes 10% profit on his goods. He lost 70% goods during theft. His loss percent is:
Choices:
42%
32%
67%
22%
Answer: C
Question: In how many ways can the letters of the word ghLOMN be rearranged such that the upper case letters always appear together?
Choices:
198
111
123
144
Answer: D
Question: A circular rim 28 inches in a diameter rotates the same number of inches per second as a circular rim 35 inches in diameter. If the smaller rim makes C revilutions per second, how many revilutions per minute does the larger rim makes in terms of C?
Choices:
b) 75m
c) 48C
d) 24C
e) C/75
Answer: B
Question: Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
Choices:
15 1/7 min
17 1/7 min
7 1/7 min
7 2/7 min
Answer: B
Question: A symmetric number of an another one is a number where the digit are reversed. For instance, 123 is the symmetric of one of 321. Thus the difference of a number and its symmetrical must be divisible by which of the following?
Choices:
5
6
7
9
Answer: D
Question: 1-1/2 of 2 = ?
Choices:
2
¾
¼
none of these
Answer: D
Question: If x is an integer, then x(x - 1)(x - k) must be evenly divisible by three when k is any of the following values except
Choices:
-6
-1
2
5
Answer: A
Question: There are 24 distinct numbers in set M, there are 28 distinct numbers in set N, and there are 12 distinct numbers that are in both sets M and N. Set H is the set containing the elements that are in at least one of sets M and N. How many elements are in set H?
Choices:
40
51
58
63
Answer: A
Question: Dacid obtained 76, 65, 82, 67 and 85 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
Choices:
99
68
82
75
Answer: D
Question: Five carpenters can individually complete a particular task in 3, 4, 5, and 7 hours, respectively. What is the maximum fraction of the task that can be completed in forty-five minutes if four of the carpenters work together at their respective rates ?
Choices:
3/5
11/30
47/75
5/9
Answer: C
Question: If I walk at 3 kmph, I miss the train by 2 min, if however, I walk at 4 kmph. I reach the station 2 min before the arrival of the train. How far do I walk to reach the station?
Choices:
4/5 km
4/8 km
4/9 km
4/1 km
Answer: A
Question: What is x if x + 2y = 100 and y = 25?
Choices:
50
75
100
4
Answer: A
Question: Determine a man’s present age if his present age is 125% of his age 10 years ago and 83.333% of his age 10 years from now.
Choices:
97
50
99
82
Answer: B
Question: Two numbers are respectively 20% and 50% more than a third number. The percentage that is first of the second is?
Choices:
80%
78%
94%
68%
Answer: A
Question: Thirty men can do a work in 24 days. In how many days can 20 men can do the work, given that the time spent per day is increased by one-third of the previous time?
Choices:
26 days
20 days
27 days
21 days
Answer: C
Question: Three consecutive odd integers are in increasing order such that the sum of the last two integers is 11 more than the first integer. Find the three integers?
Choices:
5,7,9
7, 9, 10
7, 9, 11
7, 9, 29
Answer: A
Question: The average runs scored by a batsman in 20 matches is 40. In the next 10 matches the batsman scored an average of 13 runs. Find his average in all the 30 matches?
Choices:
31
88
13
12
Answer: A
Question: When sold at a 50% discount, a sweater nets the merchant a 40% profit on the wholesale cost at which he initially purchased the item. By what % is the sweater marked up from wholesale at its normal retail price?
Choices:
64.29%
70%
80%
100%
Answer: A
Question: If x is divisible by 2, 14, and 70, which of the following must be the least multiple of x?
Choices:
70
210
350
700
Answer: A
Question: The maximum number of student amoung them 1204 pens and 840 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is :
Choices:
28
56
89
None of these
Answer: A
Question: The price of a stock has decreased by 75% since the year 2000. How many percent should the stock price increase in order to gain the same value as in the year 2000?
Choices:
300%
75%
150%
25%
Answer: A
Question: If Re.1 amounts to Rs.9 over a period of 20 years. What is the rate of simple interest?
Choices:
30%
80%
40%
42%
Answer: C
Question: An archer is shooting arrows from various distances. She shoots at a target from 30 yards, 40 yards, and 50 yards. The probability that she hits within the bullseye from 30 yards is 5/6, the probability that she hits within the bullseye from 40 yards is 4/5, and the probability that she hits within the bullseye from 50 yards is 3/4. What is the probability that she hits the bullseye at least once in three shots, one from each distance listed.
Choices:
119/120
139/140
9/10
14/15
Answer: A
Question: 12 times a number gives 156. The number is
Choices:
12
13
None
Cannot be determined
Answer: B
Question: A watch which gains uniformly ,is 5 min,slow at 8 o'clock in the morning on sunday and it is 5 min 48 sec.fast at 8 p.m on following sunday. when was it correct?
Choices:
wednesday at 7:20 PM
wednesday at 7:22 PM
wednesday at 7:23 PM
wednesday at 7:24 PM
Answer: A
Question: A man on tour travels first 160 km at 64 km/he and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is?
Choices:
71.11 km/hr
78.11 km/hr
81.11 km/hr
54.11 km/hr
Answer: A
Question: one person Tharak speed with the current is 10 km/hr and the speed of the current is 2 km/hr. Tharak's speed against the current is:
Choices:
6 km/hr
2 km/hr
3 km/hr
4 km/hr
Answer: A
Question: A tap can fil up an empty tank in 5 hours wheras it can be emptied by a pipe in 6 hours. How long will it take to fill the empty tank if both the taps and pipe are opened together?
Choices:
30 hrs.
50 hrs.
60 hrs.
20 hrs.
Answer: A
Question: Six bells commence tolling together and toll at intervals of 4, 6, 8, 10, 12 and 14 seconds respectively. In 70 minutes, how many times do they toll together ?
Choices:
3
4
5
6
Answer: D
Question: The avg weight of A,B & C is 84 kg. If D joins the group, the avg weight of the group becomes 80 kg.If another man E who weights is 5 kg more than D Replaces A, Then the avgof B,C,D&E becomes 79 kg. What is the weight of A?
Choices:
77
75
80
90
Answer: A
Question: Thomas worked in the factory @ 4550/- per week.
Owner told him to give the amount after one month. Then how much amount will be paid to Thomas ?
Choices:
17500
18200
19500
6750
Answer: C
Question: The apartment on King-Williams street is an asset that its value is tramping about. From the year 1973 to 1983 it's value decreased by 16% and from 1983 to 1993 it's value increased by 16%. What is the value of the asset in 1993 if in 1973 it was worth $35,000?
Choices:
$40,000.
$38,976.
$39,679.
$34,104.
Answer: D
Question: In a jar there are balls in different colors: blue, red, green and yellow.
The probability of drawing a blue ball is 1/4.
The probability of drawing a red ball is 1/5.
The probability of drawing a green ball is 1/10.
If a jar cannot contain more than 50 balls, how many yellow balls are in the Jar?
Choices:
9
10
12
17
Answer: A
Question: What is the total cost of 2 sandwiches at $1.49 each and 4 sodas at $0.87 each?
Choices:
$6.46
$8.46
$10.08
$11.85
Answer: A
Question: A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 38 years now, the son's age five years back was:
Choices:
14 years
33 years
38 years
39 years
Answer: A
Question: A hiker walked for 3 days. She walked 18 miles on the first day, walking 3 miles per hour. On the second day she walked for one less hour but she walked one mile per hour, faster than on the first day. On the third day she walked the same number of hours as on the first day, but at the same speed as on the second day. How many miles in total did she walk?
Choices:
44
58
60
62
Answer: D
Question: If a, b, and c are consecutive integers such that a > b > c and the sum of a, b, and c is a multiple of 10, which of the following could be the value of a?
Choices:
1
9
10
12
Answer: A
Question: Find the odd man out.
331, 482, 551, 263, 383, 362, 284
Choices:
383
377
399
377
Answer: A
Question: Which one of the following is the least number of four digits divisible by 71?
Choices:
1065
1094
1056
1057
Answer: A
Question: Salad dressing A is made up of 30% vinegar and 70% oil, and salad dressing B contains 10% vinegar and 90% oil. If the 2 dressing are combined to produce a salad dressing that is 15% vinegar, dressing A comprises what % of the new dressing?
Choices:
20%
25%
40%
55%
Answer: B
Question: A and B started a business with their capitals Rs. 12,000 and 36,000 respectively. Annual profit will be distributed between them in the ratio
Choices:
1:3
1:4
2:5
1:5
Answer: A
Question: How many positive integers less than 60 have a reminder 01 when divided by 4?
Choices:
14
15
16
17
Answer: B
Question: On a test, students receive 6 points for each correct answer and are penalized by losing 3 points for each incorrect answer. There are 6 questions on the test and each question has 4 answer options, A, B, C, and D. It is known that 5 of the questions have option B as the correct answer and one question has option C as the correct answer. If a student marks B for the first 3 questions and C for the last 3 questions, what is the minimum possible score that student can receive?
Choices:
-1
0
1
2
Answer: B
Question: A metallic sheet is of rectangular shape with dimensions 48 m x 34 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m3) is:
Choices:
5120
4608
7500
8960
Answer: B
Question: How many of the positive factors of 14 are not factors of 21?
Choices:
3
1
2
0
Answer: B
Question: Find 96 ×× 98
Choices:
93/12
93/13
93/10
93/8
Answer: D
Question: In one year, the population, of a village increased by 25% and in the next year, it decreased by 25%. If at the end of 2nd year, the population was 18750, what was it in the beginning?
Choices:
8000
1988
1277
20000
Answer: D
Question: A manufacturer of a certain product can expect that between 0.3 percent and 0.5 percent of the units manufactured will be defective. If the retail price is $2,500 per unit and the manufacturer offers a full refund for defective units, how much money can the manufacturer expect to need to cover the refunds on 20,000 units?
Choices:
Between $30,000 and $50,000
Between $60,000 and $100,000
Between $150,000 and $250,000
Between $300,000 and $500,000
Answer: C
Question: In Mike's opinion, his weight is greater than 65kg but leas than 72 kg. His brother does not agree with Mike and he thinks that Mike's weight is greater than 60kg but less than 70kg. His mother's view is that his weight cannot be greater than 68 kg. If all of them are correct in their estimation, what is the average of different probable weights of Mike?
Choices:
61.5 kg
62 kg
66.5 kg
68.5 kg
Answer: C
Question: The number of timeshare condos available at Sunset Beach is 2/5 the number of timeshare condos available at Playa del Mar. If the total number of timeshare condos available at the two beaches combined is 280, what is the difference between the number of condos available at Sunset Beach and the number of condos available at Playa del Mar?
Choices:
90
120
150
240
Answer: B
Question: A boat can travel with a speed of 15 km/hr in still water. If the speed of the stream is 6 km/hr, find the time taken by the boat to go 86 km downstream.
Choices:
4.1 hr
8.25 hr
2.25 hr
2.50 hr
Answer: A
Question: Find out the C.I on Rs.5000 at 4% p.a. compound half-yearly for 1 1/2 years.
Choices:
Rs.319.06
Rs.306.04
Rs.294.75
None of these
Answer: B
Question: If we have 10 people in a meeting, in how many ways they can sit around a table?
Choices:
9*8!
8*7!
7*6!
6*5!
Answer: A
Question: If the average (arithmetic mean) of five consecutive negative integers is 2k – 1, what is the difference W between the greatest and least of the five integers?
Choices:
4k^2 -4k
4-4k
4
4k+4
Answer: C
Question: Find the least number must be subtracted from 427398 so that remaining no.is divisible by 15?
Choices:
1
5
6
7
Answer: A
Question: In how many ways can you distribute 6 prizes among 5 children if every child must get atleast one?
Choices:
125 Ways
120 Ways
115 Ways
145 Ways
Answer: A
Question: During a trip, Francine traveled x percent of the total distance at an average speed of 30 miles per hour and the rest of the distance at an average speed of 40 miles per hour. In terms of x, what was Francine's average speed for the entire trip?
Choices:
12000/x+300
(300-x)/5
600/(115-x)
12,000/(x+200)
Answer: A
Question: The cost of 3 kg of sugar is $7.50. What will the cost of 8 kg of sugar be?
Choices:
20
80
160
180
Answer: A
Question: Kim bought a total of $2.65 worth of postage stamps in four denominations. If she bought an equal number of 5-cent and 25-cent stamps and twice as many 10-cent stamps as 4-cent stamps, what is the least number of 1-cent stamps she could have bought?
Choices:
65
75
80
95
Answer: A
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 8 units?
Choices:
170 sq.units
190 sq.units
112 sq.units
149 sq.units
Answer: C
Question: 8 cups of water are to be poured into a 4-cup bottle and a 8-cup bottle. If each bottle is to be filled to the same fraction of its capacity, how many cups of water should be poured into the 8-cup bottle?
Choices:
7/3
5/2
8/3
16/3
Answer: D
Question: 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Choices:
266
350
112
134
Answer: B
Question: The distance from the x-axis to point P is half the distance from the y-axis to point P. If the coordinates of P are (x,-8), how many units is P from the y-axis?
Choices:
16
8
4
2
Answer: A
Question: In a group of 650 readers who read science fiction or literacy works or both, 250 read science fiction and 550 read literacy works. How many read both science fiction and literacy works?
Choices:
250
150
100
400
Answer: B
Question: 9, 16, 22, 25, 36,49
Choices:
16
22
25
36
Answer: B
Question: What percent of 60 is 120?
Choices:
200
60
33 1⁄3
25
Answer: A
Question: If a certain number is divided by 5, the quotient, dividend, and divisor, added together, will amount to 65. What is the number?
Choices:
28
48
38
50
Answer: D
Question: A project has three test cases. Three teams are formed to study the three different test cases. James is assigned to all three teams. Except for James, each researcher is assigned to exactly one team. If each team has exactly 9 members, then what is the exact number of researchers required?
Choices:
25
23
22
21
Answer: A
Question: The banker's gain on a bill due due 1 year hence at 12% per annum is Rs.7.2. The true discount is
Choices:
Rs.36
Rs.54
Rs.60
none
Answer: C
Question: In the next Cricket World Cup T-20, Team A has decided to score 200 runs only through 4s and 6s. In how many ways can the Team A score these 200 runs?
Choices:
15
16
17
18
Answer: C
Question: A photo-mat shop charges $0.60 for the first photo inside a film, and 40% cents less for each additional photo. How many photos can we develop with $42 if each film contains 36 photos?
Choices:
3 films and 6 photos
5 films and 14 photos
6 films and 4 photos
6 films and 28 photos
Answer: A
Question: 1000 men have provisions for 20 days. If 200 more men join them, for how many days will the provisions last now?
Choices:
12.6
12.5
12.2
16.6
Answer: D
Question: The cost C, in dollars, to remove p percent of a certain pollutant from a pond is estimated by using the formula C = 100,000p/(100 - p). According to this estimate, how much more would it cost to remove 90 percent of the pollutant from the pond than it would cost to remove 70 percent of the pollutant?
Choices:
$200,000
$50,000
$10,000
$5,000
Answer: A
Question: A fair sided die labeled 1 to 6 is tossed three times. What is the probability the sum of the 3 throws is 16?
A)
B)
C)
D)
E)
Choices:
7/216
1/36
9/216
11/216
Answer: B
Question: How many leading zeros (zeros after the decimal point but before the first nonzero digit of a number) are in 1/7!?
Choices:
3
5
6
9
Answer: A
Question: How many 6's are there in the following number sequence which are immediately preceded by 9 but not immediately followed by 4 ?
5 6 4 3 2 9 6 3 1 6 4 9 6 4 2 1 5 9 6 7 2 1 4 7 4 9 6 4 2
Choices:
3
2
5
None
Answer: B
Question: In a jar there are balls in different colors: blue, red, green and yellow.
The probability of drawing a blue ball is 1/8.
The probability of drawing a red ball is 1/5.
The probability of drawing a green ball is 1/7.
If a jar cannot contain more than 50 balls, how many yellow balls are in the Jar?
Choices:
26
24
23
21
Answer: D
Question: If after 200 grams of water were added to the 15%-solution of alcohol, the strength of the solution decreased by one-third, how much of the 15%-solution was used?
Choices:
220 grams
250 grams
350 grams
400 grams
Answer: D
Question: Find the unknown term X,8,6,2,-4, -12
Choices:
4
6
8
9
Answer: C
Question: How many even integers n, such that 20<=n<=250 are of the form 3k+4, where k is any natural number?
Choices:
36
39
42
45
Answer: B
Question: If it takes 4 identical printing presses exactly 6 hours to print 8,000 newspapers, how long would it take 2 of these presses to print 6,000 newspapers?
Choices:
7 hrs
8 hrs
9 hrs 50 mins
9 hrs
Answer: D
Question: A girl swims downstream 48 km and upstream 16 km taking 8 hours each time; what is the speed of the current?
Choices:
2.0
2.2
2.3
2.4
Answer: A
Question: A reduction of 25% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg?
Choices:
s.2.4
s.2.5
s.2.2
s.3.33
Answer: D
Question: In business, A and C invested amounts in the ratio 2:1, whereas the ratio between amounts invested by A and B was 2:3, If Rs 15,0000 was their profit, how much amount did B receive.
Choices:
14587
36975
75000
12874
Answer: C
Question: What least number must be added to 1170, so that the sum is completely divisible by 23 ?
Choices:
3
7
9
11
Answer: A
Question: Consider two different cloth-cutting processes. In the first one, n circular cloth pieces are cut from a square cloth piece of side a in the following steps: the original square of side a is divided into n smaller squares, not necessarily of the same size, then a circle of maximum possible area is cut from each of the smaller squares. In the second process, only one circle of maximum possible area is cut from the square of side a and the process ends there. The cloth pieces remaining after cutting the circles are scrapped in both the processes. The ratio of the total area of scrap cloth generated in the former to that in the latter is
Choices:
1:1
n(4-π) / (4n - π)
(4n − π) / n (4 - π)
None of these
Answer: A
Question: If Dale works at full efficiency he needs a break of 1 day after every 2 days of work and he completes a job in a total of 17 days. If he works at reduced efficiency, he can work without break and finish that same job in 17 days. Dale's output at reduced efficiency is what fraction of his output at full efficiency?
Choices:
1/5
9/5
12/5
6/35
Answer: C
Question: If the product 4864 x 9 P 2 is divisible by 12, then the value of P is:
Choices:
3
8
5
None of these
Answer: D
Question: You collect coins. Suppose you start out with 11. Since his mother makes coins, Miguel decides to double your coins. Since you're nice, you give Mary 12 coins. How many coins do you have at the end?
Choices:
10
11
12
13
Answer: A
Question: From his monthly salary a man spends 10% of his salary for house rent, 20% on food, 25% for all other expenses and saves Rs 2520 per month. His monthly salary is?
Choices:
Rs 5000
Rs 5600
Rs 6200
Rs 6300
Answer: B
Question: The banker's gain on a bill due due 1 year hence at 12% per annum is Rs.7.8. The true discount is
Choices:
Rs.65
Rs.54
Rs.50
none
Answer: A
Question: A runs 25% faster than B and is able to give him a start of 7 meters to end a race in dead heat. What is the length of the race?
Choices:
34m
35m
36m
37m
Answer: B
Question: If a wholesaler distributes items to several outlets (A, B, C and D) in the ratio of 1/10 : 1/11 : 1/15 : 1/16, then find the total number of items the wholesaler distributes?
Choices:
745
845
145
345
Answer: B
Question: A is 3 years older to B and 3 years younger to C, while B and D are twins. How many years older is C to D?
Choices:
3
6
12
2
Answer: B
Question: A man was born on January 1st, 23 B.C. and died January 2nd, 23 A.D. How old did he live to be?
Choices:
35
45
55
65
Answer: B
Question: Seven men and four boys can complete a work in 6 days. A man completes double the work than a boy. In how many days will 5 men and 4 boys complete the work?
Choices:
4
6
Cannot be determined
None of these
Answer: D
Question: The population of a town is 10000. It increases annually at the rate of 20% p.a. What will be its population after 2 years?
Choices:
14400
14500
14600
15400
Answer: A
Question: Pradeep has to obtain 20% of the total marks to pass. He got 160 marks and failed by 25 marks. The maximum marks are
Choices:
600
925
1325
900
Answer: B
Question: There are 12 teams in a certain league and each team plays each of the other teams exactly twice. If each game is played by 2 teams, what is the total number of games played?
Choices:
16
28
56
132
Answer: D
Question: The area of a sector of a circle of radius 5 cm formed by an arc of length 4.5 cm is?
Choices:
11.25
8.75
8.98
8.28
Answer: A
Question: Given that on 27th February 2003 is Thursday. What was the day on 27th February 1603?
Choices:
Thursday
Sunday
Tuesday
None
Answer: A
Question: If X is to be chosen at random from the integers between 1 to 6, inclusive, and Y is to be chosen at random from the integers between 7 and 11, inclusive, what is the probability that X + Y will be even?
Choices:
1/2
3/4
4/5
5/6
Answer: A
Question: How many positive two-digit whole numbers are divisible by 7?
Choices:
9
15
12
13
Answer: D
Question: Two trains are running in opposite directions in the same speed. The length of each train is 120 meter. If they cross each other in 24 seconds, the speed of each train (in km/hr) is
Choices:
18
28
20
24
Answer: A
Question: In a class of 25 students, 2 students did not borrow any books from the library, 12 students each borrowed 1 book, 4 students each borrowed 2 books, and the rest borrowed at least 3 books. If the average number of books per student was 2, what is the maximum number of books any single student could have borrowed?
Choices:
9
10
11
12
Answer: D
Question: 3, 5, 7, 11, 13, 17, 19, ____
Choices:
36
23
49
27
Answer: B
Question: Two pipes X and Y can separately fill a cistern in 18 and 24 hours respectively. If they are turned on alternately for one hour each, how long will it take to fill the cistern?
Choices:
20 hours 30 min
30 hours 30 min
40 hours 30 min
50 hours 30 min
Answer: A
Question: 9548 + 7314 = 5362 + (?)
Choices:
8400
11500
8700
9000
Answer: B
Question: Tom and John traveled in the same direction along the equal route at their constant speed rates of 15 km per hour and 10 km per hour, respectively. After 15 minutes Tom passed John, Tom reaches a certain Gas station, how many W minutes it takes John to reach the station?
Choices:
6 min
7 and 1/2 min
8 min
10 min
Answer: B
Question: What is the least integer that is a sum of four different prime numbers each greater than 50?
Choices:
234
236
238
240
Answer: D
Question: A milkman professes to sell his milk at cost price but he mixes it with water and thereby gains 25%. The percentage of water in the mixture is:
Choices:
6(1/4)%
20%
25%
30%
Answer: B
Question: If integers x and b are distinct factors of 30, which of the following CANNOT be a factor of 30?
I. xb + b^2
II. (x + b)^2
III. x + b
Choices:
II only
III only
I and II only
I, II, and III
Answer: A
Question: If r and s are negative integers, which of the following statements must be true?
I. (-r)^s is positive.
II. (-r)^(-s) is positive.
III. r^(-s) is positive.
Choices:
II only
I and II
I and III
I, II and III
Answer: B
Question: A boat can travel with a speed of 24 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 168 km downstream
Choices:
4 hours
5 hours
6 hours
7 hours
Answer: C
Question: A portion of the 85% solution of chemicals was replaced with an equal amount of 30% solution of chemicals. As a result, 40% solution of chemicals resulted. What part of the original solution was replaced?
Choices:
6/11
7/11
9/11
13/6
Answer: C
Question: Three friends Dhoni, Rahul and Aswin divide $1540 amongs them in such a way that if $10, $12 and $18 are removed from the sums that Dhoni, Rahul and Aswin received respectively, then the share of the sums that they got will be in the ratio of 15: 17: 18. How much did Aswin receive?
Choices:
$562
$564
$558
$570
Answer: C
Question: Every student at Tarcy School is in at least one of three clubs: horseback riding, embroidery, and country dancing, which are the only clubs in existence at the school. The ratio of the number of students in exactly two clubs to the number of students in exactly one club is 4:3, while the ratio of the number of students in exactly two clubs to the number of students in at least two clubs is 5:7. Which of the following could be the total number of students at Tarcy School?
Choices:
69
74
82
86
Answer: D
Question: Suresh started a business with Rs.20,000. Kiran joined him after 4 months with Rs.30,000. After 2 more months, Suresh withdrew Rs.5,000 of his capital and 2 more months later, Kiran brought in Rs.20,000 more. What should be the ratio in which they should share their profits at the end of the year?
Choices:
12:17
17:12
21:32
15:19
Answer: C
Question: A trained covered x km at 40 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 3x km?
Choices:
65 kmph
24 kmph
14 kmph
61 kmph
Answer: B
Question: I chose a number and divide it by 2. Then I subtracted 100 from the result and got 4. What was the number I chose?
Choices:
208
400
500
100
Answer: A
Question: Jack and Jill work at a hospital with 7 other workers. For an internal review, 2 of the 9 workers will be randomly chosen to be interviewed. What is the probability that Jack and Jill will both be chosen?
Choices:
1/4
1/15
3/8
1/36
Answer: D
Question: A milk man sells the milk at the cost price but he mixes the water in it and thus he gains 9.09%. The quantity of water in the mixture of 1 liter is
Choices:
83.33 ml
93.33 ml
63.03 ml
82.33 ml
Answer: A
Question: If the LCM of two integers c, d (where d> c and c>1) is c*d, then which of the following can not be true?
Choices:
Both c and d can be Prime Numbers.
All Prime factors of c must be Prime factors of d.
c and d do not have a common factor.
c and d do not share any Prime factors.
Answer: B
Question: Vishal invested 10% more than Trishul. Trishul invested 10% less than Raghu. If the total sum of their investments is Rs. 6647, how much amount did Raghu invest ?
Choices:
2300
2000
1129
1192
Answer: A
Question: At what time between 9 and 10 o’clock will the hands of a watch be together?
Choices:
49 1/11 min. past 9
45 min. past 9
50 min. past 9
None
Answer: A
Question: A sum of Rs. 427 is to be divided among A, B and C such that 3 times A’s share, 4 tunes B’s share and 7 times C’s share are all equal. The share of C is :
Choices:
84
140
240
None of these
Answer: A
Question: The weights of one liter vegetable ghee packet of two brands ‘A’ and ‘B’ are 900 gm and 850 gm respectively. If they are mixed in the ratio of 3 : 2 by volumes to form a mixture of 4 liters, what is the weight (in kg) of the mixture?
Choices:
1.75
3.52
2.72
None of these
Answer: B
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 10%?
Choices:
35%
13 1/30%
12%
13%
Answer: A
Question: While planning their outing, Abhishek understood that their boat could travel with a speed of 12kmph in still water.The group decided to travel 24 minutes downstream. Aarti had prior experience in that route and mentioned that the speed of stream was 4kmph.How many kms will the group travel downstream?
Choices:
6.4
4
4.8
4.6
Answer: A
Question: What will come in place of the x in the following Number series? 46080, 3840, 384, ?, 8, 2, 1
Choices:
3
5
48
9
Answer: C
Question: What is the solution of the equations x - y = 0.08 and 1(x + y)-1 = 2 ?
Choices:
x = 1, y = 0.1
x = 2, y = 1.1
x = 0.065, y = 0.735
None
Answer: C
Question: John purchased a grinder and a mobile for Rs. 15000 &Rs. 10000 respectively. He sold the grinder at a loss of 4% and the mobile phone at a profit of 10%. Overall how much he make a profit.
Choices:
s. 400
s. 420
s. 450
s. 290
Answer: A
Question: A survey of n people in the town of Eros found that 50% of them preferred Brand A. Another survey of 110 people in the town of Angie found that 60% preferred Brand A. In total, 55% of all the people surveyed together preferred Brand A. What is the total number of people surveyed?
Choices:
100
150
200
220
Answer: D
Question: There are A girls in a class, and their average height is M inches. In the same class, there are Y boys with an average height of N inches. What is the average height of all the students in the class?
Choices:
(M + N)/(X + Y)
(XM + YN)/(M + N)
(AM + YN)/(A + Y)
MN/XY
Answer: C
Question: Sum of the squares of three numbers is 179 and the sum of their products taken two at a time is 131. Find the sum?
Choices:
22
26
28
29
Answer: A
Question: There are 6 ladies and 5 gents to dine at a round table. In how many ways can they seat themselves so that no two gents are seated together.
Choices:
86400
36400
65600
88600
Answer: A
Question: In how many ways can 5 letters be posted in 3 post boxes, if any number of letters can be posted in all of the three post boxes?
Choices:
9
3^5
5^3
2^4
Answer: B
Question: In a class, there are 15 boys who are over 160 cm tall. If these constitute three-fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class ?
Choices:
10
18
24
26
Answer: A
Question: The average earning of amechanic for the first 4days of a week is Rs.60 and for the last four days is Rs.22. If heearns Rs.20 on the fourth day, his average earning forthe whole week is?
Choices:
s. 44
s. 30
s. 40
s. 50
Answer: A
Question: What sum of money will produce Rs.70 as simple interest in 4 years at 3 1/2 percent?
Choices:
Rs.500
Rs.550
Rs.555
Rs.545
Answer: A
Question: Roberto has three children: two girls and a boy. All were born on the same date in different years. The sum of the ages of the two girls today is smaller than the age of the boy today, but a year from now the sum of the ages of the girls will equal the age of the boy. Two years from today, the difference between the age of the boy and the combined ages of the girls will be
Choices:
2
3
–2
–1
Answer: D
Question: A man can row 9 kmph in still water. When the river is running at 3.1 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?
Choices:
2.48
9.24
7.29
7.94
Answer: D
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 69 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: A
Question: Let y = 2m + x^2 and m = 5x + 5. If m^2 =100, then which of the following can be a value of 2y + 3m?
Choices:
63
93
73
53
Answer: B
Question: In a simultaneous throw of 2 dice what is the probability of getting a total of 3?
Choices:
1/18
2/11
3/13
1/5
Answer: A
Question: Working alone at its constant rate, machine A produces x boxes in 10 minutes and working alone at its constant rate, machine B produces x boxes in 5 minutes. How many minutes does it take machines A and B, working simultaneously at their respective constant rates, to produce 3x boxes?
Choices:
4 minutes
10 minutes
6 minutes
12 minutes
Answer: B
Question: If y exceeds x by 20%, then x is less than y by?
Choices:
16 3/3%
16 2/3%
12 2/3%
16 1/3%
Answer: B
Question: The respective ages of father and his son are 41 and 16 years. In how many years will the father be twice as old as his son ?
Choices:
9 years
10 years
15 years
12 years
Answer: A
Question: If 9 engines consume 24 metric tonnes of coal, when each is working 8 hours day, bow much coal will be required for 8 engines, each running 13hours a day, it being given that 3 engines of former type consume as much as 4 engines of latter type?
Choices:
36 metric tonnes
14 metric tonnes
43 metric tonnes
26 metric tonnes
Answer: D
Question: The probability of having a girl is identical to the probability of having a boy. In a family with six children, what is the probability that all the children are of the same gender?
Choices:
1/32
1/16
1/25
1/2
Answer: A
Question: Vijay bought 160 shirts at the rate of Rs. 225 per shirt. The transport expenditure was Rs. 1400. He paid an octroi at the rate of Rs. 1.75 per shirt and labour charges were Rs. 320. What should be the selling price of one shirt, if he wants a profit of 20%?
Choices:
Rs. 270
Rs. 277.5
Rs. 285
None of these
Answer: C
Question: 3897 x 999 = ?
Choices:
3893103
3639403
3791203
None of them
Answer: A
Question: A can complete a task in 12 days. B can complete the task in 18 days. If A and B work on this same task in alternate days starting with A, in how many days do they finish the entire task?
Choices:
14.33 days
11 days
8.4 days
9.6 days
Answer: A
Question: How many figures are required for numbering the pages of a book containing 1000 pages?
Choices:
3892
2893
2883
2983
Answer: B
Question: The true discount on Rs. 1760 due after a certain time at 12% per annum is Rs. 160. The time after which it is due is:
Choices:
6
8
10
12
Answer: C
Question: The number of defects in the first five cars to come through a new production line are 9, 7, 10, 4, and 8, respectively. If the sixth car through the production line has either 3, 7, or 12 defects, for which of theses values does the mean number of defects per car for the first six cars equal the median?
I. 3
II. 7
III. 12
Choices:
II only
III only
I and III only
I, II, and III
Answer: B
Question: Tough and Tricky questions: Exponents.
If 5^(x+1)*4^(y-1) = 25^x*64^y, then x + y =
Choices:
-1/2
-1
1/2
2/3
Answer: C
Question: A cave is going to explode. A family is trapped inside that cave. The only way to get outside is a narrow tunnel. But the tunnel is weak and thus only two people can go at one time. Also, everybody is afraid of going alone.
The father takes one minute to go through till the end, the mother takes two, the son takes four and the daughter takes five. The cave and tunnel will explode in twelve minutes. Can they make it to the other end in that time frame?
PS: Keep in mind that when two people are moving, the total time taken will be as per the slower one.
Choices:
12 minutes
18 minutes
19 minutes
16 minutes
Answer: A
Question: 11 + 12 + 13 + ... 51 + 52 + 53 = ?
Choices:
1376
1363
1364
1365
Answer: A
Question: Z is a set of positive numbers. The median of Z is greater than the mean of Z. Which of the following Q must be true?
I. At least 50% of the numbers in Z are smaller than the median.
II. Less than 50% of the numbers in Z are greater than the median.
III. The median of Z is greater than the average of the largest and smallest numbers in Z.
Choices:
II only
III only
I and III only
Q=None of the above
Answer: D
Question: A man can row downstream at 20 kmph and upstream at 12 kmph. Find the speed of the man in still water and the speed of stream respectively?
Choices:
12, 6
16, 4
14, 4
None of these
Answer: B
Question: A man said to his son, "I was two-third of your present age when you were born". If the present age of the man is 48 years, find the present age of the son?
Choices:
28.7
28.1
28.8
28.2
Answer: C
Question: If a certain number is divided by 2, the quotient, dividend, and divisor, added together, will amount to 62. What is the number?
Choices:
28
40
38
59
Answer: B
Question: A zinc-copper alloy with 2 kg of pure zinc would contain 90% of zinc. The alloy with 1 kg of 90% zinc alloy contains 84% of zinc. Calculate the weight and percentage of zinc in the zinc-copper alloy.
Choices:
1.4 kg or 88%
1.9 kg or 94.2%
7.4 kg or 18%
1.4 kg or 60%
Answer: B
Question: When viewed through a certain microscope objects appear 120 times larger. If a red blood cell appears to have a radius of 49.2 centimeters, what is the actual diameter, in millimeters of the cell? (1 millimeter = 0.1 centimeter)
Choices:
4.1
8.2
11.8
82
Answer: B
Question: A man can hit a target once in 6 shots. If he fires 4 shots in succession, how many ways that he will hit his target?
Choices:
81/133
81/343
27/56
91/324
Answer: C
Question: The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is?
Choices:
6
8
3
1
Answer: A
Question: P cando a work in 15 days and Q cando the same work in 20 days. If they can work together for 4 days, what is the fraction of work left?
Choices:
3/17
8/15
9/21
9/22
Answer: B
Question: In an examination a pupil's average marks were 63 per paper. If he had obtained 18 more marks for his Geography paper and 2 more marks for his History paper, his average per paper would have been 65. How many papers were there in the examination?
Choices:
9
10
11
12
Answer: B
Question: Patrick and Eric are on the two opposite banks of a river. They both have a rowing boat.
They both start at the same time towards the opposite bank. They pass each other at 180 meters from the bank where Patrick departed. When reaching the opposite bank, they both take a rest for the same amount of time before they return. On the way back, they pass each other at 100 meters from the bank from where Patrick returned.
Patrick and Eric both row with a constant speed, but Eric rows faster.
How wide is the river?
Choices:
250 m
443 m
500 m
440 m
Answer: D
Question: A certain series is defined by the following recursive rule: Sm=K(Sm-1) , where k is a constant. If the 1st term of this series is 64 and the 25th term is 192, what is the 9th term?
Choices:
ROOT 3
64*ROOT 3
64*3^1/3
64*3^24
Answer: C
Question: Each student at a certain business school is assigned a 7-digit student identification number. The first digit of the identification number cannot be zero, and the last digit of the identification number must be prime. How many different student identification numbers can the school create?
Choices:
3,600
2,700
2,592
3,600,000
Answer: D
Question: A piece of paper is in the shape of a right angled triangle and is cut along a line that is parallel to the hypotenuse, leaving a smaller triangle. There was a 35% reduction in the length of the hypotenuse of the triangle. If the area of the original triangle was 34 square inches before the cut, what is the area (in square inches) of the smaller triangle?
Choices:
16.565
15.465
14.365
14.378
Answer: C
Question: In a Company, there are certain number of team members and certain number of team leaders. If five team members are assigned to each team leader, then one member is left out without team leader. If six members are assigned to each team leader, then one team leader has no member at all. Find the number of team leaders in that company?
Choices:
36
5
8
9
Answer: A
Question: At the start of an experiment, a certain population consisted of 3 animals. At the end of each month after the start of the experiment, the population size was double its size at the beginning of that month. Which of the following represents the population size at the end of 8 months?
Choices:
3^2
2(3^10)
3(2^8)
3(10^2)
Answer: C
Question: In a queue that comprises of 7 students. Sam and Tom are in the queue, what is the probability that they will be standing next to each other in the queue?
Choices:
14%
21%
28%
35%
Answer: B
Question: A diet contains 400 grams of a mixture of two foods, food X and food Y. Food X contains 10 percent protein and food Y contains 15 percent protein. If a diet provides exactly 47 grams of protein daily, how many grams of food X are in the mixture?
Choices:
260
280
300
320
Answer: A
Question: David works at a resort from the beginning of March to the end of September. During the month of August this past year, he made 4 times the average (arithmetic mean) of his monthly totals in tips for the other months. His total tips for August were what fraction of his total tips for all of the months he worked?
Choices:
2/5
4/5
1/5
6/5
Answer: A
Question: If a certain number is divided by 12, the quotient, dividend, and divisor, added together, will amount to 64. What is the number?
Choices:
48
49
50
None
Answer: A
Question: Ravi invested certain amount for two rates of simple interests at 6% p.a. and 7% p.a. What is the ratio of Ravi's investments if the interests from those investments are equal?
Choices:
7 : 6
7 : 0
7 : 2
7 : 1
Answer: A
Question: What is the area of the square with the following coordinates: (x, y), (20, 20), (20, 5), (x, 5)?
Choices:
85.
125
225
It cannot be determined from the information given
Answer: C
Question: A person covered one-fourth of the total distance at 6 kmph and remaining distance at 24 kmph. What is the average speed for the total distance?
Choices:
21(2/3) kmph
13 (5/7)kmph
15 (5/7)kmph
13 (2/7)kmph
Answer: B