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]

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]

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?

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?

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]

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?

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?

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

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?

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]

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.