UPSC 1996 › CSAT › Quantitative Aptitude

8 questions · 1996 · answers as per the UPSC key

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All years of Quantitative Aptitude · Full UPSC 1996 paper
UPSC 1996 · Q132 · CSAT › Quantitative Aptitude · Save

Consider the following figures: (i) a rectangle 4 cm × 9 cm (ii) a square of side 6 cm

(iii) a right-angled triangle with base 8 cm and height 9 cm

Which one of the following conclusions can be drawn from these figures?

(a) The areas of the three figures are all different
(b) The areas of all the three figures are equal
(c) The perimeters of the three figures are equal
(d) The perimeters of figures I and II are equal
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Answer: (b) The areas of all the three figures are equal
UPSC 1996 · Q134 · CSAT › Quantitative Aptitude · Save

In an accurate clock, over a period of 2 hours 20 minutes, the minute hand will move over

(a) 520°
(b) 320°
(c) 840°
(d) 140°
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Answer: (c) 840°
UPSC 1996 · Q136 · CSAT › Quantitative Aptitude · Save

If the price of a television set is increased by 25%, then by what percentage should the new price be reduced to bring the price back to the original level?

(a) 15%
(b) 25%
(c) 20%
(d) 30%
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Answer: (c) 20%
UPSC 1996 · Q138 · CSAT › Quantitative Aptitude · Save

If A = x² − y², B = 20 and x + y = 10, then

(a) A is greater than B
(b) B is greater than A
(c) A is equal to B
(d) It is not possible to compare A and B as the data provided is inadequate
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Answer: (d) It is not possible to compare A and B as the data provided is inadequate
UPSC 1996 · Q142 · CSAT › Quantitative Aptitude · Save

When the frequency distribution is normal

(a) median, mode and mean are all different from one another
(b) mean, mode and median are identical
(c) mean is greater than mode
(d) mean is greater than median
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Answer: (b) mean, mode and median are identical
UPSC 1996 · Q147 · CSAT › Quantitative Aptitude · Save

The average of X1, X2 and X3 is 14. Twice the sum of X2 and X3 is 30. What is the value of X1?

(a) 20
(b) 27
(c) 16
(d) 12
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Answer: (b) 27
UPSC 1996 · Q148 · CSAT › Quantitative Aptitude · Save

A rectangle has a perimeter of 50 metres. If its length is 13 metres more than its breadth, then its area is

(a) 124 m²
(b) 144 m²
(c) 114 m²
(d) 104 m²
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Answer: (c) 114 m²
UPSC 1996 · Q149 · CSAT › Quantitative Aptitude · Save

Two packs of cards are thoroughly mixed and shuffled and two cards are drawn at random, one after the other. What is the probability that both of them are Jacks?

(a) 1/13
(b) 2/13
(c) 7/1339
(d) 1/169
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Answer: (c) 7/1339