Eight persons D, M, P, B, R, S, T, and N belong to the same family and were born in different years among 1952, 1956, 1962, 1981, 1984, 1987, 2014, an...

Question

Eight persons D, M, P, B, R, S, T, and N belong to the same family and were born in different years among 1952, 1956, 1962, 1981, 1984, 1987, 2014, and 2017. Their ages are calculated as of the year 2023.

Given the following clues:

  • N is the nephew of M's spouse.
  • The age difference between N and N's mother is a multiple of 10.
  • M's uncle's age is a prime number but he is not the oldest.
  • The age difference between D and D's son is a prime number less than 30.
  • The age difference between B and B's mother-in-law is a multiple of 5.
  • The age difference between B and B's only sibling is one-third of N's age.
  • M has a son and no sibling.
  • M's uncle is not D.
  • S is not married to B.
  • M has a father.
  • D has no sibling.
  • P is the paternal grandmother of M's only son.
  • P is also the grandmother of T.
  • M's father has no sibling.
  • M and N are of the same gender, which is different from S's gender.

The birth years and corresponding ages of the persons are:

PersonBirth YearAge in 2023
P195271
R195667
D196261
M198142
S198439
B198736
N20149
T20176

Question: What is the age of M's uncle?

Options

A.

36 years

B.

42 years

C.

39 years

D.

67 years

E.

71 years

family relationsage puzzleblood relationslogical reasoning

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