UPSC 2009 › CSAT › Quantitative Aptitude

10 questions · 2009 · answers as per the UPSC key

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All years of Quantitative Aptitude · Full UPSC 2009 paper

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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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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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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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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Answer: (c) 72
UPSC 2009 · Q100 · CSAT › Quantitative Aptitude · Save

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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Answer: (c) 13
UPSC 2009 · Q101 · CSAT › Quantitative Aptitude · Save

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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Answer: (b) 36
UPSC 2009 · Q102 · CSAT › Quantitative Aptitude · Save

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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Answer: (b) 42% and 78%
UPSC 2009 · Q104 · CSAT › Quantitative Aptitude · Save

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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Answer: (c) 18
UPSC 2009 · Q105 · CSAT › Quantitative Aptitude · Save

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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Answer: (d) 7
UPSC 2009 · Q106 · CSAT › Quantitative Aptitude · Save

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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Answer: (c) Both 1 and 2