UPSC 1997 › CSAT › Quantitative Aptitude

11 questions · 1997 · answers as per the UPSC key

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All years of Quantitative Aptitude · Full UPSC 1997 paper
UPSC 1997 · Q130 · CSAT › Quantitative Aptitude · Save

A rectangular plot of lawn shown in the figure has dimensions x and y and is surrounded by a gravel pathway of width 2 m. What is the total area of the pathway? The original figure is not available for this question.

(a) 2x + 2y + 4
(b) 2x + 2y + 8
(c) 4x + 4y + 8
(d) 4x + 4y + 16
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Answer: (d) 4x + 4y + 16
This question uses a table or figure from the original paper that is not reproduced here.
UPSC 1997 · Q131 · CSAT › Quantitative Aptitude · Save

The average monthly income of a person in a certain family of 5 is Rs. 1000. What will be the monthly average income of a person in the same family if the income of one person increased by Rs. 12,000 per year?

(a) Rs. 1200
(b) Rs. 1600
(c) Rs. 2000
(d) Rs. 3400
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Answer: (a) Rs. 1200
UPSC 1997 · Q132 · CSAT › Quantitative Aptitude · Save

In the given figure, if QRS is an equilateral triangle and QTS is an isosceles triangle and x = 47°, then the value (in degrees) of y will be

(a) 13
(b) 23
(c) 33
(d) 43
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Answer: (a) 13
This question uses a table or figure from the original paper that is not reproduced here.
UPSC 1997 · Q135 · CSAT › Quantitative Aptitude · Save

There are three drawers in a table. One contains two gold coins, another two silver coins, and the third, a silver coin and a gold coin. One of the drawers is pulled out and a coin is taken out. It turns out to be a silver coin. What is the probability of drawing a gold coin, if one of the other two drawers is pulled out next and one of the coins in it is drawn at random?

(a) 37.5%
(b) 50%
(c) 62.5%
(d) 75%
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Answer: (b) 50%
UPSC 1997 · Q136 · CSAT › Quantitative Aptitude · Save

P is 300 km eastward of O and Q is 400 km north of O. R is exactly in the middle of Q and P. The distance between Q and R is

(a) 250 km
(b) 300 km
(c) 350 km
(d) 250* km
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Answer: (a) 250 km
UPSC 1997 · Q137 · CSAT › Quantitative Aptitude · Save

When three coins are tossed together the probability that all coins have the same face up is

(a) 1/3
(b) 1/6
(c) 1/8
(d) None of these
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Answer: (c) 1/8
UPSC 1997 · Q140 · CSAT › Quantitative Aptitude · Save

If the number representing volume and surface area of a cube are equal, then the length of the edge of the cube in terms of the unit of measurement will be

(a) 3
(b) 4
(c) 5
(d) 6
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Answer: (d) 6
UPSC 1997 · Q141 · CSAT › Quantitative Aptitude · Save

The length, breadth and height of a room are l, b and h respectively. The perimeter of the ceiling expressed as a percentage of the total area of the four walls is

(a) 100 h
(b) 100/h
(c) h
(d) h/100
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Answer: (b) 100/h
UPSC 1997 · Q145 · CSAT › Quantitative Aptitude · Save

In a group of persons travelling in a bus, 6 persons can speak Tamil, 15 can speak Hindi and 6 can speak Gujarati. In that group none can speak any other language. If 2 persons in the group can speak two languages and one person can speak all the three languages, then how many persons are there in the group?

(a) 21
(b) 22
(c) 23
(d) 24
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Answer: (c) 23
UPSC 1997 · Q147 · CSAT › Quantitative Aptitude · Save

A boat which has a speed of 5 km/hr in still water crosses a river of width 1 km along the shortest possible path in 15 minutes. The velocity of the river water in km/hr is

(a) 1
(b) 3
(c) 4
(d) 41
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Answer: (b) 3
UPSC 1997 · Q150 · CSAT › Quantitative Aptitude · Save

The number of times in a day the Hour hand and the Minute hand of a clock at right angles is

(a) 44
(b) 48
(c) 24
(d) 12
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Answer: (a) 44