Question

If \( A \times B \) means A is the brother of B, \( A + B \) means A is the son of B, \( A - B \) means A is the mother of B, and \( A = B \) means A is the husband of B, which of the following would mean X is the father of Y?

• A. \( X \times Z - Y \)
• B. \( X = Y + Z \)
• C. \( X - Z + Y \)
• D. \( X + Z + Y \)

Hint:

For such problems, break down each relationship based on the symbols and work step by step.

Answer 1

The Correct Option is C

From the given meanings of the symbols:
- \( \times \) means brother,
- \( + \) means son,
- \( - \) means mother,
- \( = \) means husband.
To express \( X \) as the father of \( Y \), we look for the correct relationship. The symbol \( X - Z + Y \) means:
- \( X - Z \) means \( X \) is the mother of \( Z \),
- \( X - Z + Y \) means \( X \) is the mother of \( Z \) and \( Y \) is the son of \( X \), which implies that \( X \) is the father of \( Y \).
Thus, the correct relationship is \( X - Z + Y \).