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

Total Questions: 50

41. Seeta and Geeta go for a swim after a gap of every 2 days and every 3 days respectively. If on 1st January both of them went for a swim together, when will they go together next? [2019-II]

(a) 7th January
(b) 8th January
(c) 12th January
(d) 13th January

Correct Answer: (d) 13th January

Solution:L.C.M. of 3 and 4 = 12.
Together, they will meet on the 13th of January.

42. A man walks down the backside of his house straight 25 metres, then turns to the right and walks 50 metres again; then he turns towards left and again walks 25 metres. If his house faces to the East, what is his direction from the starting point? [2020-II]

(a) South-East
(b) South-West
(c) North-East
(d) North-West

Correct Answer: (d) North-West

Solution:

Man's final position is in North-West with respect to his starting point.
When his house faces east, then man started towards the direction west from back of his house, after 25 m he turn to his right towards North direction, then after covering 50 m in the North-direction, he turns to his left and stopped at 25 m. Finally, he is towards North-West with respect to his starting point.

43. Two Statements are given followed by two Conclusions: [2020-II]

Statements:

All cats are dogs.

All cats are black.

Conclusion-I: All dogs are black

Conclusion-II: Some dogs are not black.

Which of the above Conclusions logically follows/follow from the two given Statements, disregarding commonly known facts?

(a) Only Conclusion-I
(b) Only Conclusion-II
(c) Neither Conclusion-I nor Conclusion-II
(d) Both Conclusion-I and Conclusion-II

Correct Answer: (c) Neither Conclusion-I nor Conclusion-II

Solution:

Here, there are three conclusions we can draw from the given statements, thus neither conclusion-I nor conclusion II are true.

44. Consider the following sequence of numbers : [2020-II]

5 1 4 7 3 9 8 5 7 2 6 3 1 5

8 6 3 8 5 2 2 4 3 4 9 6

How many odd numbers are followed by the odd number in above sequence?

(a) 5
(b) 6
(c) 7
(d) 8

Correct Answer: (b) 6

Solution:In the given series, there are 6 odd numbers that are followed by odd number.

45. A is 16th from the left end in a row of boys and V is 18th from the right end. G is 11th from A towards the right and 3rd from V towards the right end. How many boys are there in the row? [2020-II]

(a) 40
(b) 41
(c) 42
(d) Cannot be determined due to insufficient data

Correct Answer: (b) 41

Solution:G's position from the left end = A's position from the left end + 11 = 16 + 11 = 27th from the left end.
G's position from the right end = A's position from the right end - 3 = 18 - 3 = 15th from the right end.
Total number of boys in the row = (27 + 15) - 1 = 41.

46. Three Statements S1, S2 and S3 are given below followed by a Question: [2020-II]

S1: C is younger than D, but older than A and B.

S2: D is the oldest.

S3: A is older than B.

Question:

Who among A, B, C and D is the youngest?

Which one of the following is correct in respect of the above Statements and the Question?

(a) S1 alone is sufficient to answer the Question.
(b) S1 and S2 together are sufficient to answer the Question.
(c) S2 and S3 together are sufficient to answer the Question.
(d) S1 and S3 together are sufficient to answer the Question.

Correct Answer: (d) S1 and S3 together are sufficient to answer the Question.

Solution:From S₁ : D > C > A, B

We get that D is oldest one among the given four persons. From S₃ : A > B, B is younger than A. From S₁ and S₃, we get that, D > C > A > B (oldest) (youngest)

B is the youngest.

47. Two Statements S1 and S2 are given below with regard to four numbers P, Q, R and S followed by a Question: [2020-II]

S1: R is greater than P as well as Q.

S2: S is not the largest one.

Question:

Among four numbers P, Q, R and S, which one is the largest?

Which one of the following is correct in respect of the above Statements and the Question?

(a) SI alone is sufficient to answer the Question.
(b) S2 alone is sufficient to answer the Question.
(c) S1 and S2 together are sufficient to answer the Question, but neither S1 alone nor S2 alone is sufficient to answer the Question.
(d) S1 and S2 together are not sufficient to answer the Question.

Correct Answer: (c) S1 and S2 together are sufficient to answer the Question, but neither S1 alone nor S2 alone is sufficient to answer the Question.

Solution:From S₁ : R > P and Q

From S₂ : R > S, as S is not the largest one From S₁ and S₂, R > P, Q and S Hence, R is the largest.

Thus, both statements S₁ and S₂ together are sufficient to answer the question.

48. Consider the following arrangement that has some missing letters: [2020-II]

abab _ b _bcb _dcdcded_d

The missing letters which complete the arrangement are

(a) a, b, c, d
(b) a, b, d, e
(c) a, c, c, e
(d) b, c, d, e

Correct Answer: (c) a, c, c, e

Solution:The missing letter's that complete the series are :

abababcbcbcdcdcdeded

The pattern is ababa, bcbcb, cdcdc, deded

Hence, letters a, c, c, e complete the sequence.

49. Two Statements S1 and S2 are given below followed by a Question: [2020-II]

S1: There are not more than two figures on any page of a 51-page book.

S2: There is at least one figure on every page.

Question:

Are there more than 100 figures in that book?

Which one of the following is correct in respect of the above Statements and the Question?

(a) Both S1 and S2 are sufficient to answer the Question, but neither S1 alone nor S2 alone is sufficient to answer the Question.
(b) SI alone is sufficient to answer the Question.
(c) S1 and S2 together are not sufficient to answer the Question.
(d) S2 alone is sufficient to answer the Question.

Correct Answer: (c) S1 and S2 together are not sufficient to answer the Question.

Solution:From S1 and S2, we get

1 ≤ Number of figures on each page ≤ 2

51 ≤ Number of figures on 51 pages ≤ 102

Hence, we cannot determine the exact number of figures on 51 pages from the given two statements.

50. A family of two generations consisting of six members P, Q, R, S, T and U has three males and three females. There are two married couples and two unmarried siblings. U is P's daughter and Q is R's mother-in-law. T is an unmarried male and S is a male. Which one of the following is correct? [2020-II]

(a) R is U's husband
(b) R is S's wife.
(c) S is unmarried.
(d) None of the above

Correct Answer: (b) R is S's wife.

Solution:[Here, (+) Male, (-) - Female] In the family of 6 members, three are males and three are females. Now, when R is U's husband, then number of male members becomes 4 i.e. T, S, R and P.

So, R must is a female and daughter-in-law of Q. Q is the wife of P. T is an unmarried brother of P. U is unmarried sister of S.

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

41. Seeta and Geeta go for a swim after a gap of every 2 days and every 3 days respectively. If on 1st January both of them went for a swim together, when will they go together next? [2019-II]

42. A man walks down the backside of his house straight 25 metres, then turns to the right and walks 50 metres again; then he turns towards left and again walks 25 metres. If his house faces to the East, what is his direction from the starting point? [2020-II]

43. Two Statements are given followed by two Conclusions: [2020-II]

44. Consider the following sequence of numbers : [2020-II]

45. A is 16th from the left end in a row of boys and V is 18th from the right end. G is 11th from A towards the right and 3rd from V towards the right end. How many boys are there in the row? [2020-II]

46. Three Statements S1, S2 and S3 are given below followed by a Question: [2020-II]

47. Two Statements S1 and S2 are given below with regard to four numbers P, Q, R and S followed by a Question: [2020-II]

48. Consider the following arrangement that has some missing letters: [2020-II]

49. Two Statements S1 and S2 are given below followed by a Question: [2020-II]

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