In a tournament 14 teams play league matches. If each team plays against every other team once only then how many matches are played?
- (a)105
- (b)91
- (c)85
- (d)78
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Official answer(b) 91
Quantitative Aptitude
179 questions in Science & Technology.
Asked in 2010, 2009
A question paper had ten questions. Each question could only be answered as True (T) or False (F). Each candidate answered all the questions. Yet, no two candidates wrote the answers in an identical sequence. How many different sequences of answers are possible?
- (a)20
- (b)40
- (c)512
- (d)1024
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Official answer(d) 1024
Running at a speed of 60 km per hour, a train passed through a 1.5 km long tunnel in two minutes. What is the length of the train?
- (a)250 m
- (b)500 m
- (c)1000 m
- (d)1500 m
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Official answer(b) 500 m
A person X has four notes of Rupee 1, 2, 5 and 10 denomination. The number of different sums of money she can form from them is
- (a)16
- (b)15
- (c)12
- (d)8
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Official answer(b) 15
Two numbers X and Y are respectively 20% and 28% less than a third number Z. By what percentage is the number Y less than the number X?
- (a)8%
- (b)9%
- (c)10%
- (d)12%
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Official answer(c) 10%
A person travelled a distance of 50 km in 8 hours. He covered a part of the distance on foot at the rate of 4 km per hour and a part on a bicycle at the rate of 10 km per hour. How much distance did he travel on foot ?
- (a)10 km
- (b)20 km
- (c)30 km
- (d)40 km
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Official answer(b) 20 km
How many numbers from 0 to 999 are NOT divisible by either 5 or 7?
- (a)313
- (b)341
- (c)686
- (d)786
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Official answer(c) 686
Each person's performance compared with all other persons is to be done to rank them subjectively. How many comparisons are needed in total, if there are 11 persons?
- (a)66
- (b)55
- (c)54
- (d)45
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Official answer(b) 55
Three men start together to travel the same way around a circular track of 11 km. Their speeds are 4, 5.5 and 8 kmph respectively. When will they meet at the starting point for the first time?
- (a)After 11 hours
- (b)After 21 hours
- (c)After 22 hours
- (d)After 33 hours
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Official answer(c) After 22 hours
A man fills a basket with eggs in such a way that the number of eggs added on each successive day is the same as the number already present in the basket. This way the basket gets completely filled in 24 days. After how many days was the basket 1⁄4th full?
- (a)6
- (b)12
- (c)17
- (d)22
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Official answer(d) 22
The diameters of two circular coins are in the ratio of 1 : 3. The smaller coin is made to roll around the bigger coin till it returns to the position from where the process of rolling started. How many times did the smaller coin roll around the bigger coin?
- (a)9
- (b)6
- (c)3
- (d)15
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Official answer(c) 3
The difference between the simple interest received from two banks on Rs. 500 for two years is Rs. 2·50. What is the difference between their rates?
- (a)0·25%
- (b)0·5%
- (c)1%
- (d)2·5%
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Official answer(a) 0·25%
When ten persons shake hands with one another, in how many ways is it possible?
- (a)20
- (b)25
- (c)40
- (d)45
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Official answer(d) 45
A candidate attempted 12 questions and secured full marks in all of them. If he obtained 60% marks in the test and all questions carried equal marks, then what is the total number of questions in the test?
- (a)36
- (b)30
- (c)25
- (d)20
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Official answer(d) 20
In how many ways can four children be made to stand in a line such that two of them, A and B, are always together?
- (a)6
- (b)12
- (c)18
- (d)24
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Official answer(b) 12
A person has 4 coins each of different denomination. What is the number of different sums of money the person can form (using one or more coins at a time)?
- (a)16
- (b)15
- (c)12
- (d)11
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Official answer(b) 15
How many numbers lie between 300 and 500 in which 4 comes only one time?
- (a)99
- (b)100
- (c)110
- (d)120
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Official answer(a) 99
How many three-digit numbers can be generated from 1, 2, 3, 4, 5, 6, 7, 8, 9 such that the digits are in ascending order?
- (a)80
- (b)81
- (c)83
- (d)84
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Official answer(d) 84
There are four persons A, B, C, D; and A has some coins. A gave half of the coins to B and 4 more besides. B gave half of the coins to C and 4 more besides. C gave half of the coins to D and 4 more besides. Both B and D end up with same number of coins. How many coins did A have originally?
- (a)96
- (b)84
- (c)72
- (d)64
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Official answer(c) 72
While adding the first few continuous natural numbers, a candidate missed one of the numbers and wrote the answer as 177. What was the number missed?
- (a)11
- (b)12
- (c)13
- (d)14
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Official answer(c) 13
Four metal rods of lengths 78 cm, 104 cm, 117 cm and 169 cm are to be cut into parts of equal length. Each part must be as long as possible. What is the maximum number of pieces that can be cut?
- (a)27
- (b)36
- (c)43
- (d)480
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Official answer(b) 36
In an examination, there are three subjects A, B and C. A student has to pass in each subject. 20% students failed in A, 22% students failed in B and 16% failed in C. The total number of students passing the whole examination lies between
- (a)42% and 84%
- (b)42% and 78%
- (c)58% and 78%
- (d)58% and 84%
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Official answer(b) 42% and 78%
How many times are an hour hand and a minute hand of a clock at right angles during their motion from 1.00 p.m. to 10.00 p.m.?
- (a)9
- (b)10
- (c)18
- (d)20
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Official answer(c) 18
There are 240 balls and n number of boxes B1, B2, B3, … , Bn. The balls are to be placed in the boxes such that B1 should contain 4 balls more than B2, B2 should contain 4 balls more than B3, and so on. Which one of the following cannot be the possible value of n?
- (a)4
- (b)5
- (c)6
- (d)7
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Official answer(d) 7
In a carrom board game competition, m boys and n girls (m > n > 1) of a school participate in which every student has to play exactly one game with every other student. Out of the total games played, it was found that in 221 games one player was a boy and the other player was a girl. Consider the following statements : 1. The total number of students that participated in the competition is 30. 2. The number of games in which both players were girls is 78. Which of the statements given above is/are correct ?
- (a)1 only
- (b)2 only
- (c)Both 1 and 2
- (d)Neither 1 nor 2
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Official answer(c) Both 1 and 2