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

Total Questions: 50

1. How many letters of the English alphabet (capitals) appear same when looked at in a mirror? [2009]

(a) 9
(b) 10
(c) 11
(d) 12

Correct Answer: (c) 11

Solution:

These are 11 such letters.
A, H, I, M, O, T, U, V, W, X and Y

2. There is a family of 6 persons A, B, C, D, E and F. There are two married couples in the family. The family members are lawyer, teacher, salesman, engineer, accountant and doctor. D, the salesman is married to the lady teacher. The doctor is married to the lawyer. F, the accountant is the son of B and brother of E. C, the lawyer is the daughter-in-law of A. E is the unmarried engineer. A is the grandmother of F. How is E related to F? [2009]

(a) Brother
(b) Sister
(c) Father
(d) Cannot be established (cannot be determined)

Correct Answer: (d) Cannot be established (cannot be determined)

Solution:

As, sex of E is not clear, so E can be brother or sister of F. Hence, relation between E and F can't be established.

3. There are three cans A, B and C. The capacities of A, B and C are 6 litres, 10 litres and 16 litres respectively. The can C contains 16 litres of milk. The milk has to be divided in them using these three cans only. [2009]

Consider the following statements:

1. It is possible to have 6 litres of milk each in can A and can B.

2. It is possible to have 8 litres of milk each in can B and can C.

Which of the statements given above is/are correct?

(a) 1 only
(b) 2 only
(c) Both 1 and 2
(d) Neither 1 nor 2

Correct Answer: (c) Both 1 and 2

Solution:

In the starting C has 16 litres of milk. Now, following transformations can be made.

Here is the extracted table from the image:

A (<6)	B (<10)	C (<16)
0	0	16
0	10	6
4	6	6
6	6	4 (I)
4	8	4
0	8	8 (II)

Here, it should be kept in mind that volume of A, B and C should never exceed 6, 10 and 161, i.e their capacities respectively.
Equation (I) satisfies statement 1 and equation (II) satisfies statement 2.

4. A person travels 12 km due North, then 15 km due East, after that 15 km due West and then 18 km due South. How far is he from the starting point? [2009]

(a) 6 km
(b) 12 km
(c) 33 km
(d) 60 km

Correct Answer: (a) 6 km

Solution:

let O be the starting point and P, Q and R the positions after every movement. Hence, Distance from the starting point = Distance of final position R from O = OR18-12 = 6 km.

5. Six books A, B, C, D, E and Fare placed side by side. B, C and E have blue cover and the other books have red cover. Only D and F are new books and the rest are old. A, C and D are law reports and others are Gazetteers. Which book is a new law report with a red colour? [2010]

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

Correct Answer: (d) D

Solution:

From above, clearly D is the new law report with a red colour.

6. Six persons M, N, O, P, Q and R are sitting in two rows, three in each. Q is not at the end of any row. P is second to the right of R. O is the neighbour of Q and is sitting diagonally opposite to P. N is the neighbour of R. On the basis of above information, who is facing N? [2010]

(a) R
(b) Q
(c) P
(d) M

Correct Answer: (b) Q

Solution:

As P is 2nd to the right of R and there are three persons in each row, so clearly P and R at the extreme ends. As N is the neighbour of R, so it must come in the middle of P and R → P NR.

As O is diagonally opposite to P and neighbour of Q, so the final arrangement P N R M Q O

Thus, Q is facing N.

7. P, Q, R and S are four men. P is the oldest but not the poorest. R is the richest but not the oldest. Q is older than S but not than Por R. P is richer than Q but not than S. The four men can be ordered (descending) in respect of age and richness, respectively, as [2010]

(a) PQRS, RPSQ
(b) PRQS, RSPQ
(c) PRQS, RSQP
(d) PRSQ, RSPQ

Correct Answer: (b) PRQS, RSPQ

Solution:

Q > S, P > Q, R > Q
Age: As, Q > S, P > Q R > Q
Also, P is the oldest. ∴ P > R > Q > S
Richness: As, P > Q,S > P
Also R is he richest. ∴ R > S > P > Q

8. In a meeting, the map of a village was placed in such a manner that south-east becomes north, north-east becomes west and so on. What will south become? [2010]

(a) North
(b) North-east
(c) North-west
(d) West

Correct Answer: (b) North-east

Solution:

9. A cuboid has six sides of different colours. The red side is opposite to black. The blue side is adjacent to white. The brown side is adjacent to blue. The red side is face down. Which one of the following would be the opposite to brown? [2010]

A, B, C, D and E are members of the same family. There are two fathers, two sons, two wives, three males and two females. The teacher was the wife of a lawyer who was the son of a doctor. E is not a male, neither also a wife of a professional. C is the youngest person in the family and D is the eldest. B is a male.

(a) Red
(b) Black
(c) White
(d) Blue

Correct Answer: (c) White

Solution:

Here, figure is drawn on the basis of the given conditions.
White and brown are on the opposite faces.

10. How is D related to E? [2011-II]

(a) Husband
(b) Son
(c) Father
(d) Wife

Correct Answer: (a) Husband

Solution:

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

1. How many letters of the English alphabet (capitals) appear same when looked at in a mirror? [2009]

3. There are three cans A, B and C. The capacities of A, B and C are 6 litres, 10 litres and 16 litres respectively. The can C contains 16 litres of milk. The milk has to be divided in them using these three cans only. [2009]

4. A person travels 12 km due North, then 15 km due East, after that 15 km due West and then 18 km due South. How far is he from the starting point? [2009]

5. Six books A, B, C, D, E and Fare placed side by side. B, C and E have blue cover and the other books have red cover. Only D and F are new books and the rest are old. A, C and D are law reports and others are Gazetteers. Which book is a new law report with a red colour? [2010]

6. Six persons M, N, O, P, Q and R are sitting in two rows, three in each. Q is not at the end of any row. P is second to the right of R. O is the neighbour of Q and is sitting diagonally opposite to P. N is the neighbour of R. On the basis of above information, who is facing N? [2010]

7. P, Q, R and S are four men. P is the oldest but not the poorest. R is the richest but not the oldest. Q is older than S but not than Por R. P is richer than Q but not than S. The four men can be ordered (descending) in respect of age and richness, respectively, as [2010]

8. In a meeting, the map of a village was placed in such a manner that south-east becomes north, north-east becomes west and so on. What will south become? [2010]

9. A cuboid has six sides of different colours. The red side is opposite to black. The blue side is adjacent to white. The brown side is adjacent to blue. The red side is face down. Which one of the following would be the opposite to brown? [2010]

10. How is D related to E? [2011-II]

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