Question 59

Logical Reasoning Blood Relations Hard

In the family of six person A, B, C , D , E and F , there are two married couples . D is the grandmother of A and mother of B . C is wife of B and mother of F . F is granddaughter of E , Which of the following is true ?

(A) A is brother of F
(B) A is sister of F
(C) B has two daughters
(D) None
View Dynamic Solution & Explanation
Correct Solution: Option D

Step-by-step Solution:

Family Structure Analysis

From the given statements, we can deduce the complete family tree. This is the same set of relationships as the previous puzzle.

  • Grandparents (First Generation): E (male) is married to D (female).
  • Parents (Second Generation): Their son, B (male), is married to C (female).
  • Children (Third Generation): B and C are the parents of two children, A and F.

Determining the Genders

The clues allow us to determine the gender of every person except for A:

  • E, B: Male
  • D, C, F: Female (F is a "granddaughter")
  • A: Gender is not specified. The clue "D is the grandmother of A" works whether A is male or female.

Evaluating the Statements

With this information, we can now test the truthfulness of each option:


A. A is brother of F

This statement can only be true if A is male. Since we do not know A's gender, we cannot confirm this.

B. A is sister of F

This statement can only be true if A is female. Since we do not know A's gender, we cannot confirm this either.

C. B has two daughters

We know F is B's daughter. For this statement to be true, A must also be a daughter (female). Again, this depends on A's unknown gender.


Conclusion

Since statements A, B, and C cannot be proven to be true based on the given information, the correct choice is that None of the statements are definitively true.