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IBPS PO Mains 5 Nov 2023 Paper

Question Numbers: 7-10

Direction: Read the following information carefully and answer the given questions.

Eight persons B, D, M, N, P, R, S, and Y are related to each other born in 1952, 1956, 1962, 1981, 1984, 1987, 2014, and 2017 not necessarily in the same order. Age is calculated from 2023. M's spouse has a niece who is N. The difference between N and N's mother's age is a multiple of 10. The difference between B and B's mother-in-law's age is a multiple of five. M's uncle's age was prime but he was not the eldest. The difference between D and D's son is a prime number less than twenty. The difference between B and B's spouse's age is double the difference between the M and S age. B has a sibling only. M has a son. M's uncle is not D but M's uncle's age is a prime number. S is not married to B. M has a father. There is an equal number of males and females. D has no siblings. P is the grandmother of M's only son. P is the grandmother of Y. M's father has no sibling of his own and M's mother has no sister.

Question : 7 of 155

Marks: +1, -0

Which of the following age is a perfect square?

the one who is born immediately after M.
Y
the one who is born immediately after P
R
the one who is born immediately after S.

Validate

Solution:

Concept:

Use the given age-difference conditions and family relations to eliminate invalid cases and identify the person whose age is a perfect square.

Explanation:

From the relations, S is the mother of N, so N is younger than S.

Two possible cases arise for the positions of S and R.

Case 1: S is the uncle of M, so S is older than M.

Assume S = 60 years and M = 40 years.

Then

|B - M| = 2|M - S| = 2 \times 20 = 40

years.

This gives B = 0 or 80 years, which is impossible.

Therefore, Case 1 is eliminated.

Case 2: S is the mother of N.

Using

|B - M| = 2|M - S|

, a valid arrangement is obtained in which B is born immediately after S.

It is given that B is 36 years old.

So, the person born immediately after S is B.

36 = 6^2

, which is a perfect square.

		Case 1	Case2	Case 3	Case 4	Case 6
Years	Age	Person	Person	Person	Person	Person
1952	71	S
1956	67	R	R	R
1962	61	N			R	R
1981	42
1984	39		S		S
1987	36			S		S
2014	09		N		N
2017	06			N		N

4) Consider this condition, | B-M | = 2 | M-S | try by putting M at every vacant position. Only Case 2 will satisfy the given condition .So, Case 1, Case 3, Case 4, and Case 5 are eliminated.

Years	Age	Person
1952	71
1956	67	R
1962	61
1981	42	M
1984	39	S
1987	36	B
2014	09	N
2017	06

5) The difference between D and D's son(M) is a prime number less than twenty.

Years	Age	Person
1952	71
1956	67	R
1962	61	D
1981	42	M
1984	39	S
1987	36	B
2014	09	N
2017	06

6) The difference between B and B's mother-in-law's(P) age is a multiple of five.

The final arrangement is:

Years	Age	Person
1952	71	P
1956	67	R
1962	61	D
1981	42	M
1984	39	S
1987	36	B
2014	09	N
2017	06	Y

Answer:

Option E — the one who is born immediately after S.

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