UPSC 1999 › CSAT › Quantitative Aptitude

11 questions · 1999 · answers as per the UPSC key

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All years of Quantitative Aptitude · Full UPSC 1999 paper
UPSC 1999 · Q131 · CSAT › Quantitative Aptitude · Save

In the sequence of numbers 5, 8, 13, X, 34, 55, 89, ……… the value of ‘X’ is

(a) 20
(b) 21
(c) 23
(d) 29
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Answer: (b) 21
UPSC 1999 · Q134 · CSAT › Quantitative Aptitude · Save

The average speed of a train in the onward journey is 25% more than that of the return journey. The train halts for one hour on reaching the destination. The total time taken for the complete to-and-fro journey is 17 hours covering a distance of 800 km. The speed of the train in the onward journey is

(a) 45 km per hour
(b) 47.06 km per hour
(c) 50.00 km per hour
(d) 56.25 km per hour
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Answer: (d) 56.25 km per hour
UPSC 1999 · Q135 · CSAT › Quantitative Aptitude · Save

In a town 25% families own a phone and 15% own a car. 65% families own neither a phone nor a car. 2000 families own both a car and a phone. Consider the following statements in this regard: I. 10% families own both a car and a phone. II. 35% families own either a car or a phone. III. 40,000 families live in the town.

Which of the above statements are correct?

(a) I and II
(b) I and III
(c) II and III
(d) I, II and III
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Answer: (c) II and III
UPSC 1999 · Q140 · CSAT › Quantitative Aptitude · Save

A man is standing on the 8 m long shadow of a 6 m long pole. If the length of his shadow is 2.4 m, what is the height of the man?

(a) 1.4 m
(b) 1.6 m
(c) 1.8 m
(d) 2.0 m
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Answer: (c) 1.8 m
UPSC 1999 · Q141 · CSAT › Quantitative Aptitude · Save

If the angles of a triangle are in the ratio of 4 : 3 : 2, then the triangle

(a) is obtuse
(b) has one angle greater than 80°
(c) is a right triangle
(d) is acute
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Answer: (d) is acute
UPSC 1999 · Q142 · CSAT › Quantitative Aptitude · Save

The surface area of a spherical dome-shaped roof of a cylindrical water tank shown in the figure is The original figure is not available for this question.

(a) 60 π m²
(b) 109 π m²
(c) 120 π m²
(d) 300 π m²
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Answer: (b) 109 π m²
This question uses a table or figure from the original paper that is not reproduced here.
UPSC 1999 · Q143 · CSAT › Quantitative Aptitude · Save

If X + 2Y = 2X + Y, then X² / Y² is equal to

(a) 0
(b) 1
(c) 2
(d) 4
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Answer: (b) 1
UPSC 1999 · Q144 · CSAT › Quantitative Aptitude · Save

A hemispherical bowl is filled to the brim with a beverage. The contents of the bowl are transferred into a cylindrical vessel whose radius is 50% more than its height. If the diameter is the same for both bowl and cylinder, then the volume of the beverage in the cylindrical vessel will be

(a) 66 (2⁄3) %
(b) 78 ¾ %
(c) 100 %
(d) more than 100 % (some liquid will still be left in the bowl)
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Answer: (c) 100 %
UPSC 1999 · Q148 · CSAT › Quantitative Aptitude · Save

At a given time, two players are standing on a play-field. The cartesian coordinates of their locations are (20, 60) and (-40, -20) units. What is the distance between the players?

(a) 60 units
(b) 80 units
(c) 100 units
(d) 140 units
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Answer: (c) 100 units
UPSC 1999 · Q149 · CSAT › Quantitative Aptitude · Save

The area of an ellipse is twice that of a circle. The major diameter of the ellipse is twice that of the minor diameter. The radius of the circle is

(a) 50% of minor diameter of the ellipse
(b) 50% of major diameter of the ellipse
(c) minor diameter of the ellipse
(d) major diameter of the ellipse
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Answer: (a) 50% of minor diameter of the ellipse
UPSC 1999 · Q150 · CSAT › Quantitative Aptitude · Save

Amar, Akbar and Anthony are friends, being looked after by a matron Farah. Amar weighs 50% more than Akbar and Anthony weigh 25% less than Amar. Farah weighs a third of the combined weight of the three boys. All four together weigh 232 kg. The correct arrangement of the persons in the ascending order of their weights is

(a) Anthony, Akbar, Farah, Amar
(b) Anthony, Akbar, Amar, Farah
(c) Akbar, Anthony, Amar, Farah
(d) Akbar, Anthony, Farah, Amar
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Answer: (d) Akbar, Anthony, Farah, Amar