Question

A + B means A is father of B.
A - B means A is daughter of B.
A * B means A is son of B.
A / B means A is mother of B.
A & B means A is sister of B.
A \# B means A is brother of B.
Which of the following relations shows that N and M are husband and wife, respectively?

• A. N + T & W \# X & M
• B. N * T & W \# X - M
• C. N + T & W - X - M
• D. N + T & W \# X - M

Hint:

To prove a husband-wife relationship in coded blood relation problems, look for an expression where both individuals are shown as the father and mother of a common child.

Answer 1

The Correct Option is D

Step 1: Understanding the Question:
We are given a set of codes that define family relationships. We need to find the option that correctly establishes N as the husband and M as the wife. This means: 1. N must be male. 2. M must be female. 3. N and M must be married to each other. In such problems, a marriage relationship is typically established by showing that N and M are the father and mother of the same child.
Step 2: Detailed Explanation:
Let's decode and analyze each option.
(A) N + T & W \# X & M
- N + T \(\rightarrow\) N is the father of T. (N is male). - T & W \(\rightarrow\) T is the sister of W. - W \# X \(\rightarrow\) W is the brother of X. - X & M \(\rightarrow\) X is the sister of M. This makes T, W, X, and M siblings. N is the father of T, W, and X. Since M is their sibling, N is also M's father. This does not show N and M as husband and wife.
(B) N * T & W \# X - M
- N * T \(\rightarrow\) N is the son of T. (N is male). The rest of the chain will establish relationships for N, but we need N to be a father to establish a husband-wife relationship with M as a mother. This option is unlikely.
(C) N + T & W - X - M
- N + T \(\rightarrow\) N is the father of T. (N is male). - T & W \(\rightarrow\) T is the sister of W. - W - X \(\rightarrow\) W is the daughter of X. - X - M \(\rightarrow\) X is the daughter of M. From W-X and X-M, we get that M is a parent of X, and X is a parent of W. This shows three generations and doesn't connect N and M as spouses.
(D) N + T & W \# X - M
Let's decode this step-by-step: - N + T: N is the father of T. This confirms N is male. - T & W: T is the sister of W. So, T is female. N is also the father of W. - W \# X: W is the brother of X. So, W is male. T, W, and X are siblings. N is the father of all three. - X - M: X is the daughter of M. This means M is a parent of X. From the combined information, we know: - N is the father of X. - M is a parent of X. Since a person has one father and one mother, and N is the father, M must be the mother. If N is the father of X and M is the mother of X, then N and M are husband and wife.
Step 3: Final Answer:
The expression N + T & W \# X - M correctly shows that N is the husband and M is the wife.