Mental Ability, Analytical and Logical Reasoning (UPSC) Part-IV

Total Questions: 50

41. Consider the following statements: [2015-II]

1. A man had a wife, two sons and daughters in his family

2. The daughters were invited to a feast and the male members of the family went out to take part in a picnic

3. The man's father did not return from his work.

Which of the following statements is true?

Correct Answer: (b) It is likely that the man's wife was left at home.
Solution:

All the male member of the family went out to take part in a picnic. It is given that daughters were invited to a feast. Nothing is specified about men's wife. Hence, the statement that the man's wife is likely to be left at home is true.

42. Geeta: Naresh has become a better boxer since he started meditation. [2015-II]

Radha: Impossible, A boxer's most important asset is his aggressiveness.

Radha's statement reflects her belief that

Correct Answer: (a) Meditation tends to make a person less aggressive.
Solution:Radha did not accept the argument that a person becomes a better boxer after meditation. The reason for this is that a boxer, according to her, should be aggressive. This indicates that Radha believes that meditation makes a person less aggressive.

43. All good athletes want to win and all athletes who want to win eat a well-balanced diet; therefore all athletes who do not eat a well-balanced diet are bad athletes. [2015-II]

Correct Answer: (b) no athlete who does not eat a well-balanced diet is a good athlete.
Solution:The given statements can be represented as-

It is stated that all good athletes want to win. It does not mean that no one wants to win. Hence, (b) is true. There can be people other than good athletes, who eat well balanced diet.

44. Between 6 PM and 7 PM the minute hand of a clock will be ahead of the hour hand by 3 minutes at [2015-II]

Correct Answer: (c) 6:36 PM
Solution:Between 6 PM and 7 PM, the hour hand and the minute hand coincide at 6 hr 'm' minutes.

After 3 minutes, i.e. at 6: 36 PM the minute hand of a clock will be ahead of the hourhand by 3 minutes.

45. A person climbs a hill in a straight path from point 'O' on the ground in the direction of north-east and reaches a point 'A' after travelling a distance of 5 km. Then, from the point 'A' he moves to point 'B' in the direction of north-west. Let the distance AB be 12 km. Now, how far is the person away from the starting point 'O'? [2015-II]

Correct Answer: (b) 13 km
Solution:According to the given information, the direction diagram of a person is as shown below:

∴ Required distance,
BO² = BA² + OA²
BO² = 12² + 5²
BO² = 144 + 25

BO = 13km

BO² = 169

So, he is 13 km far away from the starting point O.

46. What is C's surname ? [2016-II]

When three friends A, B and C met, it was found that each of them wore an outer garment of a different colour. In random order, the garments are: jacket, sweater and tie; and the colours are: blue, white and black. Their surnames in random order are: Ribeiro, Kumar and Singh.

Further, we know that:

1. neither B nor Ribeiro wore a white sweater

2. C wore a tie

3. Singh's garment was not white

4. Kumar does not wear a jacket

5. Ribeiro does not like to wear the black colour

6. Each of the friends wore only one outer garment of only one colour

Correct Answer: (a) Riberio
Solution:

On the basis of given information, the arrangement is as following:

RiberioKumarSinghJacketSweaterTieBlueWhiteBlack
A✗✓✗✗✓✗✗✓✗
B✗✗✓✓✗✗✗✗✓
C✓✗✗✗✗✓✓✗✗

47. What is the colour of the tie? [2016-II]

When three friends A, B and C met, it was found that each of them wore an outer garment of a different colour. In random order, the garments are: jacket, sweater and tie; and the colours are: blue, white and black. Their surnames in random order are: Ribeiro, Kumar and Singh.

Further, we know that:

1. neither B nor Ribeiro wore a white sweater

2. C wore a tie

3. Singh's garment was not white

4. Kumar does not wear a jacket

5. Ribeiro does not like to wear the black colour

6. Each of the friends wore only one outer garment of only one colour

Correct Answer: (b) Blue
Solution:

On the basis of given information, the arrangement is as following:

RiberioKumarSinghJacketSweaterTieBlueWhiteBlack
A✗✓✗✗✓✗✗✓✗
B✗✗✓✓✗✗✗✗✓
C✓✗✗✗✗✓✓✗✗

The colour of the tie is Blue.

48. Who wore the sweater? [2016-II]

When three friends A, B and C met, it was found that each of them wore an outer garment of a different colour. In random order, the garments are: jacket, sweater and tie; and the colours are: blue, white and black. Their surnames in random order are: Ribeiro, Kumar and Singh.

Further, we know that:

1. neither B nor Ribeiro wore a white sweater

2. C wore a tie

3. Singh's garment was not white

4. Kumar does not wear a jacket

5. Ribeiro does not like to wear the black colour

6. Each of the friends wore only one outer garment of only one colour

Correct Answer: (a) A
Solution:

On the basis of given information, the arrangement is as following:

RiberioKumarSinghJacketSweaterTieBlueWhiteBlack
A✗✓✗✗✓✗✗✓✗
B✗✗✓✓✗✗✗✗✓
C✓✗✗✗✗✓✓✗✗

A wore the sweater.

49. A person walks 12 km due north, then 15 km due east, after that 19 km due west and then 15 km due south. How far is he from the starting point? [2016-II]

Correct Answer: (a) 5 km
Solution:The direction diagram of a person is as follows:

The required distance is,

In ΔOAE

OA = DB = 4km                            OE = AX = 3km

AE² = O A²  + OE²                      AE² = 4² + 3²

A E² = 25                                        AE = 5km

50. A cube has all its faces painted with different colours. It is cut into smaller cubes of equal sizes such that the side of the small cube is one-fourth the big cube. The number of small cubes with only one of the sides painted is: [2016-II]

Correct Answer: (b) 24
Solution:The number of small cubes with only one of the sides painted on each face 4. Hence, number of total small cube with one face painted 4 × 6 = 24