Question

Read the information given below and answer the questions that follow-
(J) If P + Q means; P is the brother of Q.
(K) P \(\times\) Q means; P is the father of Q; and
(L) P \(-\) Q means; P is the sister of Q.
Then, which of the following represents S is the niece of T?

• A. T \(\times\) M + S \(-\) K
• B. K \(-\) S \(\times\) M + T
• C. T + M \(\times\) S \(-\) K
• D. T \(\times\) S + M \(-\) K

Hint:

Always apply gender elimination first! Since "niece" is female, look at the symbol immediately following 'S'. S must be followed by '-' (sister) to be female. This immediately eliminates options B and D.

Answer 1

The Correct Option is C

Step 1: Note the symbol code.
$P+Q$ means P is brother of Q, $P\times Q$ means P is father of Q, $P-Q$ means P is sister of Q.
Step 2: State what 'niece' needs.
S must be female, and S's parent must be a sibling of T.
Step 3: Drop options where S is male.
In (B) $S\times M$ and in (D) $S+M$, S would be father or brother (male), so both fail.
Step 4: Check option (A).
$T\times M$ makes T the father of M, and $M+S$ makes M the brother of S, so T becomes S's father, not uncle. (A) fails.
Step 5: Check option (C).
$T+M$: T is brother of M; $M\times S$: M is father of S; $S-K$: S is sister of K, confirming S is female.
Step 6: Conclude.
M is S's father and T is M's brother, so T is S's uncle and S is the niece of T.
\[ \boxed{\text{T + M} \times \text{S - K}} \]