Question

Given the following relations:
'P Q' \( \times \) means 'P is mother of Q',
'P Q' \( \div \) means 'P is sister of Q',
'P Q' \( + \) means 'P is brother of Q',
'P Q' \( - \) means 'P is father of Q'.
Find how 'K' is related to 'D' in the expression \( D \, F \, T \, K \div - + \)?

• A. Nephew or Niece
• B. Nephew
• C. Niece
• D. No relation can be established

Hint:

Always decode the innermost operation first when brackets or sequences are involved in family relation problems.

Answer 1

The Correct Option is A

Step 1: Understanding the operations.
Expression: \( D \, F \, T \, K \div - + \) First, group according to operations:
\( T \div K \) : T is sister of K. \( F - (T \div K) \) : F is father of T (T is sister of K, thus K is F's child). \( D + (F - (T \div K)) \) : D is brother of F.
Step 2: Relation of K to D.
D is the brother of F.
F is the father of K.
Thus, D is the uncle of K.
Step 3: Final relation.
Hence, K is nephew or niece of D.