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

Total Questions: 50

1. If in a particular year 12th January is a Sunday, then which one of the following is correct? [2015]

(a) 15th July is a Sunday if the year is a leap year.
(b) 15th July is a Sunday if the year is not a leap year.
(c) 12th July is a Sunday if the year is a leap year.
(d) 12th July is not a Sunday if the year is a leap year.

Correct Answer: (c) 12th July is a Sunday if the year is a leap year.

Solution:

Number of days between 12th January to 12th July in a leap year.
= 19 + 29 + 31 + 30 + 31 + 30 + 12 = 182 = 26 weeks
Hence, 12th July will be the same as 12th January in a leap year.
So, it will be Sunday.

2. Consider the following statements: [2020-II]

1. The minimum number of points of intersection of a square and a circle is 2.

2. The maximum number of points of intersection of a square and a circle is 8.

Which of the above statements is/are correct?

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

Correct Answer: (b) 2 only

Solution:

(1) Minimum number of points of intersection of a square and a circle = 0.

(2) The maximum number of points of intersection of a square and a circle = 8.
Hence, (1) is not correct, but (2) is correct.

3. The letters from A to Z are numbered from 1 to 26 respectively. If GHI = 1578 and DEF = 912, then what is ABC equal to? [2020-II]

(a) 492
(b) 468
(c) 262
(d) 246

Correct Answer: (d) 246

Solution:

4. What is the missing term @ in the following? [2020-II]

ACPQ : BESU :: MNGI : @

(a) NPJL
(b) NOJM
(c) NPIL
(d) NPJM

Correct Answer: (d) NPJM

Solution:

5. In a group of 120 persons, 80 are Indians and the rest are foreigners. Further, 70 persons in the group can speak English. The number of Indians who can speak English is [2021-II]

(a) 20
(b) 30
(c) 30 or less
(d) 30 or more

Correct Answer: (d) 30 or more

Solution:

Total number of persons = 120

Number of Indians = 80

Number of Foreigners = 120 - 80 = 40

Total number of persons speak English = 70

∴ Minimum number of Indian that can speak English = 70 - 40 = 30.

Hence, number of Indian that can speak English = 30 or more.

6. Consider two Statements and a Question: [2021-II]

Statement-1: Priya is 4 ranks below Seema and is 31st from the bottom.
Statement-2: Ena is 2 ranks above Seema and is 37th from the bottom.
Question: What is Seema’s rank from the top in the class of 40 students?
Which one of the following is correct in respect of the Statements and the Question?

(a) Statement-1 alone is not sufficient to answer the Question
(b) Statement-2 alone is not sufficient to answer the Question
(c) Either Statement-1 alone or Statement-2 alone is sufficient to answer the Question
(d) Both Statement-1 and Statement-2 are required to answer the Question

Correct Answer: (c) Either Statement-1 alone or Statement-2 alone is sufficient to answer the Question

Solution:

From statement I :
Priya's rank from top = (40 - 31) + 1 = 10ᵗʰ
∴ Seema's rank from top = 10 - 4 = 6ᵗʰ
From statement II :
Era's rank from top = (40 - 37) + 1 = 4ᵗʰ
∴ Seema's rank from top = 4 + 2 = 6ᵗʰ
Hence, either statement I or II are sufficient to answer the question.

7. Consider two Statements and a Question: [2021-II]

Statement-1: Each of A and D is heavier than each of B, E, and F, but none of them is the heaviest.
Statement-2: A is heavier than D, but is lighter than C.
Question: Who is the heaviest among A, B, C, D, and E?
Which one of the following is correct in respect of the Statements and the Question?

(a) Statement-1 alone is sufficient to answer the Question
(b) Statement-2 alone is sufficient to answer the Question
(c) Both Statement-1 and Statement-2 are required to answer the Question
(d) Neither Statement-1 alone nor Statement-2 alone is sufficient to answer the Question
(e) c & d

Correct Answer: (e) c & d

Solution:

From statement 1, we get:

A & D > B, E & F

As none of them is the heaviest, we can conclude that C must be the heaviest. So, statement 1 alone is sufficient.

From Statement 2, we get:

C > A > D

Using statement 2 alone we cannot determine the heaviest item.

8. In the English alphabet, the first 4 letters are written in opposite order; and the next 4 letters are written in opposite order and so on; and at the end Y and Z are interchanged. [2021-II]

Which will be the fourth letter to the right of the 13th letter?

(a) N
(b) T
(c) H
(d) I

Correct Answer: (b) T

Solution:

4ᵗʰ letter to the right of the 13ᵗʰ letter i.e.

(13 + 4) = 17ᵗʰ letter.

Now, letters are arrange in opposite order in a group of 4 letters.

So, 13ᵗʰ letters would be from 4ᵗʰ group of letters and 4ᵗʰ group letters would be M, N, O and P.

13ᵗʰ letters = P

17ᵗʰ letters would be from 5ᵗʰ group.

i.e., Q, R, S and T.

On arranging in opposite order T, S, R, Q.

∴ 17ᵗʰ letter = T.

9. Seven books P, Q, R, S, T, U, and V are placed side by side, R, Q, and T have blue covers and other books have red covers. Only S and U are new books and the rest are old. P, R, and S are reports; the rest are Gazetteers. Books of old Gazetteers with blue covers are. [2021-II]

(a) Q and R
(b) Q and U
(c) Q and T
(d) T and U

Correct Answer: (c) Q and T

Solution:

Books	Red Cover	Blue Cover	Old Book	New Book	Law Reports	Gazettes
P	3	×	3	×	3	×
Q	×	3	3	×	×	3
R	×	3	3	×	3	×
S	3	×	×	3	3	×
T	×	3	3	×	×	3
U	3	×	×	3	×	3
V	3	×	3	×	×	3

Hence, Q and T and old Gazetteers with blue covers.

10. Replace the incorrect term by the correct term in the given sequence: [2021-II]

3, 2, 7, 4, 13, 10, 21, 18, 31, 28, 43, 40
Where odd terms and even terms follow the same pattern.

(a) 0
(b) 1
(c) 3
(d) 6

Correct Answer: (a) 0

Solution:

Given odd series :

∴ In place of 2, it should be '0'.

12 3 4 5 Next »

Books	Red Cover	Blue Cover	Old Book	New Book	Law Reports	Gazettes
P	3	×	3	×	3	×
Q	×	3	3	×	×	3
R	×	3	3	×	3	×
S	3	×	×	3	3	×
T	×	3	3	×	×	3
U	3	×	×	3	×	3
V	3	×	3	×	×	3

Books	Red Cover	Blue Cover	Old Book	New Book	Law Reports	Gazettes
P	3	×	3	×	3	×
Q	×	3	3	×	×	3
R	×	3	3	×	3	×
S	3	×	×	3	3	×
T	×	3	3	×	×	3
U	3	×	×	3	×	3
V	3	×	3	×	×	3

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

1. If in a particular year 12th January is a Sunday, then which one of the following is correct? [2015]

2. Consider the following statements: [2020-II]

3. The letters from A to Z are numbered from 1 to 26 respectively. If GHI = 1578 and DEF = 912, then what is ABC equal to? [2020-II]

4. What is the missing term @ in the following? [2020-II]

5. In a group of 120 persons, 80 are Indians and the rest are foreigners. Further, 70 persons in the group can speak English. The number of Indians who can speak English is [2021-II]

6. Consider two Statements and a Question: [2021-II]

7. Consider two Statements and a Question: [2021-II]

8. In the English alphabet, the first 4 letters are written in opposite order; and the next 4 letters are written in opposite order and so on; and at the end Y and Z are interchanged. [2021-II]

9. Seven books P, Q, R, S, T, U, and V are placed side by side, R, Q, and T have blue covers and other books have red covers. Only S and U are new books and the rest are old. P, R, and S are reports; the rest are Gazetteers. Books of old Gazetteers with blue covers are. [2021-II]

10. Replace the incorrect term by the correct term in the given sequence: [2021-II]

Related Posts

Books	Red Cover	Blue Cover	Old Book	New Book	Law Reports	Gazettes
P	3	×	3	×	3	×
Q	×	3	3	×	×	3
R	×	3	3	×	3	×
S	3	×	×	3	3	×
T	×	3	3	×	×	3
U	3	×	×	3	×	3
V	3	×	3	×	×	3