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

41. The average rainfall in a city for the first four days was recorded to be 0.40 inch. The rainfall on the last two days was in the ratio of 4:3. The average of six days was 0.50 inch. What was the rainfall on the fifth day? [2017-II]

(a) 0.60 inch
(b) 0.70 inch
(c) 0.80 inch
(d) 0.90 inch

Correct Answer: (c) 0.80 inch

Solution:The sum of rainfall for the first four days

= 4 × 0.40 = 1.60 inch
The Sum of rainfall for six days = 0.50 × 6 = 3.00 inch

⇒ Sum of rainfall for last two days = 3.00 - 1.60 = 1.40 inch
Rainfall on 5th day = 4/7 × 1.40 inch = 0.80 inch.

42. Who is specialized in Geography? [2017-II]

A, B, C, D, E, F and G are Lecturers from different cities-Hyderabad, Delhi, Shillong, Kanpur, Chennai, Mumbai and Srinagar (not necessarily in the same order) who participated in a conference. Each one of them is specialized in a different subject, viz, Economics, Commerce, History, Sociology, Geography, Mathematics and Statistics (not necessarily in the same order). Further

1. Lecturer from Kanpur is specialized in Geography

2. Lecturer D is from Shillong

3. Lecturer C from Delhi is specialized in Sociology

4. Lecturer B is specialized in neither History nor Mathematics

5. Lecturer A who is specialized in Economics does not belong to Hyderabad

6. Lecturer F who is specialized in Commerce belongs to Srinagar

7. Lecturer G who is specialized in Statistics belongs to Chennai

(a) B
(b) D
(c) E
(d) Cannot be determined as data are inadequate

Correct Answer: (a) B

Solution:

City	Subject	Lecturers
Kanpur	Geography	B
Shillong	History / Mathematics	D
Delhi	Sociology	C
Mumbai	Economics	A
Srinagar	Commerce	F
Chennai	Statistics	G
Hyderabad	History / Mathematics	E

43. To which city does the Lecturer specialized in Economics belong? [2017-II]

A, B, C, D, E, F and G are Lecturers from different cities-Hyderabad, Delhi, Shillong, Kanpur, Chennai, Mumbai and Srinagar (not necessarily in the same order) who participated in a conference. Each one of them is specialized in a different subject, viz, Economics, Commerce, History, Sociology, Geography, Mathematics and Statistics (not necessarily in the same order). Further

1. Lecturer from Kanpur is specialized in Geography

2. Lecturer D is from Shillong

3. Lecturer C from Delhi is specialized in Sociology

4. Lecturer B is specialized in neither History nor Mathematics

5. Lecturer A who is specialized in Economics does not belong to Hyderabad

6. Lecturer F who is specialized in Commerce belongs to Srinagar

7. Lecturer G who is specialized in Statistics belongs to Chennai

(a) Hyderabad
(b) Mumbai
(c) Neither Hyderabad nor Mumbai
(d) Cannot be determined as data are inadequate

Correct Answer: (b) Mumbai

Solution:

City	Subject	Lecturers
Kanpur	Geography	B
Shillong	History / Mathematics	D
Delhi	Sociology	C
Mumbai	Economics	A
Srinagar	Commerce	F
Chennai	Statistics	G
Hyderabad	History / Mathematics	E

44. Who of the following belongs to Hyderabad? [2017-II]

A, B, C, D, E, F and G are Lecturers from different cities-Hyderabad, Delhi, Shillong, Kanpur, Chennai, Mumbai and Srinagar (not necessarily in the same order) who participated in a conference. Each one of them is specialized in a different subject, viz, Economics, Commerce, History, Sociology, Geography, Mathematics and Statistics (not necessarily in the same order). Further

1. Lecturer from Kanpur is specialized in Geography

2. Lecturer D is from Shillong

3. Lecturer C from Delhi is specialized in Sociology

4. Lecturer B is specialized in neither History nor Mathematics

5. Lecturer A who is specialized in Economics does not belong to Hyderabad

6. Lecturer F who is specialized in Commerce belongs to Srinagar

7. Lecturer G who is specialized in Statistics belongs to Chennai

(a) B
(b) E
(c) Neither B nor E
(d) Cannot be determined as data are inadequate

Correct Answer: (b) E

Solution:

City	Subject	Lecturers
Kanpur	Geography	B
Shillong	History / Mathematics	D
Delhi	Sociology	C
Mumbai	Economics	A
Srinagar	Commerce	F
Chennai	Statistics	G
Hyderabad	History / Mathematics	E

45. In a school, there are five teachers A, B, C, D and E, A and B teach Hindi and English. C and B teach English and Geography. D and A teach Mathematics and Hindi. E and B teach History and French. Who teaches maximum number of subjects. [2017-II]

(a) A
(b) B
(c) D
(d) E

Correct Answer: (b) B

Solution:

Teachers	Hindi	English	Math	History	French	Geography
A	✓	✓	✓
B	✓	✓		✓	✓	✓
C		✓				✓
D	✓		✓
E				✓	✓

46. While travelling from C to H, which one of the following stations must be passed through. [2017-II]

Eight railway stations A, B, C, D, E, F, G and H are connected either by two way passages or one way passages. One way passages are from C to A, E to G, B to F, D to H, G to C, E to C and H to G. Two way passages are between A and E, G and B, F and D, and E and D.

(a) G
(b) E
(c) B
(d) F

Correct Answer: (b) E

Solution:C ↔A, A ⇔ E ⇔ D ↔ H

'→' Denotes one way, Denotes two way.

C → A, E → C, E → G, H → G
B → F, A ⇔ E, D → H, G ⇔ B
G → C, F ⇔ D, E ⇔ D

47. In how many different ways can a train travel from F to A without passing through any station more than once? [2017-II]

Eight railway stations A, B, C, D, E, F, G and H are connected either by two way passages or one way passages. One way passages are from C to A, E to G, B to F, D to H, G to C, E to C and H to G. Two way passages are between A and E, G and B, F and D, and E and D.

(a) 1
(b) 2
(c) 3
(d) 4

Correct Answer: (d) 4

Solution:F - D - E - C - A or F - D - H - G - C - A,

F - D - E - A or F - D - E - G - C - A

So, 4 ways.

'→' Denotes one way, Denotes two way.

C → A, E → C, E → G, H → G
B → F, A ⇔ E, D → H, G ⇔ B
G → C, F ⇔ D, E ⇔ D

48. If the route between G and C is closed, which one of the following stations need not be passed through while travelling from H to C? [2017-II]

Eight railway stations A, B, C, D, E, F, G and H are connected either by two way passages or one way passages. One way passages are from C to A, E to G, B to F, D to H, G to C, E to C and H to G. Two way passages are between A and E, G and B, F and D, and E and D.

(a) E
(b) D
(c) A
(d) B

Correct Answer: (c) A

Solution:H - G - B - F - D - E - C

So, nowhere we have to travel through A.

'→' Denotes one way, Denotes two way.

C → A, E → C, E → G, H → G
B → F, A ⇔ E, D → H, G ⇔ B
G → C, F ⇔ D, E ⇔ D

49. Consider the figures given below: [2018-II]

To fit the question mark, the correct answer is

(a)

(b)

(c)

(d)

(a)
(b)
(c)
(d)

Correct Answer: (a)

Solution:We can consider each picture formed with an unique body (B) and an unique set of legs (L). Then

50. Consider the following figures: [2018-II]

In the figures (I) to (VI) above, some parts are shown to change their positions in regular directions. Following the same sequence, which of the figures given below will appear at (VII) stage?

(a)
(b)
(c)
(d)

Correct Answer: (b)

Solution:According to figure. Square element moves clockwise direction in each step and triangle element moves anticlockwise direction in each step.
So, option (b) is correct answer.

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

41. The average rainfall in a city for the first four days was recorded to be 0.40 inch. The rainfall on the last two days was in the ratio of 4:3. The average of six days was 0.50 inch. What was the rainfall on the fifth day? [2017-II]

42. Who is specialized in Geography? [2017-II]

43. To which city does the Lecturer specialized in Economics belong? [2017-II]

44. Who of the following belongs to Hyderabad? [2017-II]

45. In a school, there are five teachers A, B, C, D and E, A and B teach Hindi and English. C and B teach English and Geography. D and A teach Mathematics and Hindi. E and B teach History and French. Who teaches maximum number of subjects. [2017-II]

46. While travelling from C to H, which one of the following stations must be passed through. [2017-II]

47. In how many different ways can a train travel from F to A without passing through any station more than once? [2017-II]

48. If the route between G and C is closed, which one of the following stations need not be passed through while travelling from H to C? [2017-II]

49. Consider the figures given below: [2018-II]

50. Consider the following figures: [2018-II]

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