UPSC 1995 › CSAT

19 questions · 1995 · answers as per the UPSC key

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Topics: Quantitative Aptitude (12)Logical Reasoning (5)Data Interpretation (2)
UPSC 1995 · Q82 · CSAT › Logical Reasoning · Save

Examine the following statements: I. All children are inquisitive. II. Some children are inquisitive. III. No children are inquisitive. IV. Some children are not inquisitive.

Among these statements, the two statements which cannot both be true simultaneously but can both be false would be

(a) I and III
(b) I and IV
(c) II and III
(d) III and IV
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Answer: (a) I and III
UPSC 1995 · Q131 · CSAT › Quantitative Aptitude · Save

Consider the series given below: 4/12/95, 1/1/96, 29/1/96, 26/2/96... The next term of the series is

(a) 24/3/96
(b) 25/3/96
(c) 26/3/96
(d) 27/3/96
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Answer: (b) 25/3/96
UPSC 1995 · Q132 · CSAT › Quantitative Aptitude · Save

In track meets both 100 yards and 100 metres are used as distances. By how many metres is 100 metres longer than 100 yards?

(a) 0.856 m
(b) 8.56 m
(c) 0.0856 m
(d) 1.0 m
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Answer: (b) 8.56 m
UPSC 1995 · Q133 · CSAT › Logical Reasoning · Save

Examine the following statements: I watch TV only if I am bored.

I am never bored when I have my brother’s company. Whenever I go to the theatre, I take my brother along.

Which one of the following conclusions is valid in the context of the above statements?

(a) If I am bored, I watch TV
(b) If I am bored, I seek my brother’s company
(c) If I am not with my brother, then I watch TV
(d) If I am not bored, I do not watch TV
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Answer: (d) If I am not bored, I do not watch TV
UPSC 1995 · Q134 · CSAT › Logical Reasoning · Save

In the given diagram, circle A represents teachers who can teach Physics, circle B represents teachers who can teach Chemistry and circle C represents those who can teach Mathematics. Among the regions marked p, q, r, s, t, u and v, the one which represents teachers who can teach Physics and Mathematics but not Chemistry, is

(a) v
(b) u
(c) s
(d) t
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Answer: (b) u
This question uses a table or figure from the original paper that is not reproduced here.
UPSC 1995 · Q135 · CSAT › Logical Reasoning · Save

Seven men, A, B, C, D, E, F and G are standing in a queue in that order. Each one is wearing a cap of a different colour like violet, indigo, blue, green, yellow, orange and red. D is able to see in front of him green and blue but not violet. E can see violet and yellow, but not red. G can see caps of all colours other than orange. If E is wearing an indigo-coloured cap, then the colour of the cap worn by F is

(a) blue
(b) violet
(c) red
(d) orange
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Answer: (c) red
UPSC 1995 · Q136 · CSAT › Quantitative Aptitude · Save

A person travelled from one place to another at an average speed of 40 kilometres/hour and back to the original place at an average speed of 50 kilometres/hour. What is his average speed in kilometres/hour during the entire roundtrip?

(a) 45
(b) 20
(c) 400/9
(d) Impossible to find out unless the distance between the two places is known
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Answer: (c) 400/9
UPSC 1995 · Q137 · CSAT › Quantitative Aptitude · Save

The value of (a – m)(b – m) … (y – m)(z – m) is

(a) m26 + am25 + abm24 + … + a.b.c … z
(b) m26 – am25 + abm24 + … – a.b.c … z
(c) 0
(d) Indeterminate
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Answer: (c) 0
UPSC 1995 · Q138 · CSAT › Quantitative Aptitude · Save

A rectangular sump of dimensions 6 m × 5 m × 4 m is to be built by using bricks to make the outer dimension 6.2 m × 5.2 m × 4.2 m. Approximately how many bricks of size 20 cm × 10 cm × 5 cm are required to build the sump for storing water?

(a) 1500
(b) 3000
(c) 15000
(d) 30000
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Answer: (c) 15000
UPSC 1995 · Q139 · CSAT › Quantitative Aptitude · Save

Consider the figure given below: PQRS is a square of side 1 unit and Q, S are the centres of the two circles. The area of the shaded portion is

(a) π/2
(b) 1/2
(c) π/4 – 1/2
(d) π/2 – 1
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Answer: (d) π/2 – 1
This question uses a table or figure from the original paper that is not reproduced here.
UPSC 1995 · Q140 · CSAT › Quantitative Aptitude · Save

A thief running at 8 km/hr is chased by a policeman whose speed is 10 km/hr. If the thief is 100 metres ahead of the policeman, then the time required for the policeman to catch the thief will be

(a) 2 minutes
(b) 6 minutes
(c) 10 minutes
(d) 3 minutes
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Answer: (d) 3 minutes
UPSC 1995 · Q141 · CSAT › Quantitative Aptitude · Save

A student has 60% chance of passing in English and 54% chance of passing in both English and Mathematics. What is the percentage probability that he will fail in Mathematics?

(a) 12
(b) 36
(c) 4
(d) 10
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Answer: (d) 10
UPSC 1995 · Q142 · CSAT › Quantitative Aptitude · Save

One of the drawers is opened at random and a coin is drawn. It is found to be a silver coin. What is the probability that the other coin in the drawer is a gold coin?

(a) 0.25
(b) 1.00
(c) 0.50
(d) 0.60
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Answer: (c) 0.50
UPSC 1995 · Q143 · CSAT › Quantitative Aptitude · Save

In the Cartesian plane four points P, Q, R, S have coordinates (1, 1), (4, 2), (4, 4) and (1, 4). The area of the quadrilateral PQRS is

(a) 9
(b) 7.5
(c) 4.5
(d) Impossible to find unless the lengths of the diagonals are known
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Answer: (b) 7.5
UPSC 1995 · Q145 · CSAT › Data Interpretation · Save

Consider the table given below providing details of traffic volume per hour for four locations (showing total traffic volume, % of heavy vehicles, average noise level in dB(A) and noise-pollution level in dB(A)). When the total traffic volume is the same, the factor(s) which affect(s) the noise-pollution level is/are

(a) % of heavy vehicles
(b) noise-pollution level and average noise level
(c) average noise level and % of heavy vehicles
(d) indeterminable on the basis of details given
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Answer: (a) % of heavy vehicles
This question uses a table or figure from the original paper that is not reproduced here.
UPSC 1995 · Q147 · CSAT › Data Interpretation · Save

X and Y are two variables whose values at any time are related to each other as shown in Fig. (i). X is known to vary periodically with reference to time as shown in Fig. (ii).

Which of the following curves depicts correctly the dependence of Y on time?

(a) curve (a) shown in the figure
(b) shown in the figure
(c) shown in the figure
(d) shown in the figure
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Answer: (c) shown in the figure
This question uses a table or figure from the original paper that is not reproduced here.
UPSC 1995 · Q148 · CSAT › Quantitative Aptitude · Save

Out of a total of 120 musicians in a club, 5 % can play all the three instruments—guitar, violin and flute. It so happens that the number of musicians who can play any two and only two of the above instruments is 30. The number of musicians who can play the guitar alone is 40. What is the total number of those who can play violin alone or flute alone?

(a) 45
(b) 44
(c) 38
(d) 30
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Answer: (b) 44
UPSC 1995 · Q149 · CSAT › Logical Reasoning · Save

Which of the following can be inferred from the statement that “Either John is stupid or John is lazy”? I. John is lazy / therefore, John is not stupid. II. John is not lazy / therefore, John is stupid. III. John is not stupid / therefore, John is lazy. IV. John is stupid / therefore, John is not lazy.

Choose the correct answer from the codes given below:

(a) I and II
(b) II and III
(c) III and IV
(d) I and IV
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Answer: (b) II and III
UPSC 1995 · Q150 · CSAT › Quantitative Aptitude · Save

A person earns Rs 2000 per month over and above his salary as additional charge allowance. However, 30 % of this additional income will be deducted as additional income tax at source. If the person would deposit Rs 1000 per month in a long-term saving fetching 12 % interest, his tax liability on the additional allowance would reduce to 10 %. What is the effective interest for this person for money invested in the long-term savings scheme?

(a) 12 %
(b) 18 %
(c) 19 %
(d) 20 %
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Answer: (b) 18 %