\( A+B \) means \( A \) is daughter of \( B \) \( A × B \) means \( A \) is son of \( B \) \( A-B \) means \( A \) is the wife of \( B \) \( P × Q-S \) means Statement I: S is father of P . Statement II: \( P \) is daughter of \( Q \) .

P × Q − S Analysis Step 1: Decode the given relations A + B means A is the daughter of B. A × B means A is the son of B. A − B means A is the wife of B. Step 2: Analyze the expression P × Q − S From P × Q, we know that P is the son of Q. This implies Q is the parent of P. From Q − S, we know that Q is the wife of S. This implies S is the husband of Q. Step 3: Evaluate Statement I S is father of...

\( A+B \) means \( A \) is daughter of \(... - Solved

Question 82

Logical Reasoning Blood Relations Hard

\( A+B \) means \( A \) is daughter of \( B \)
\( A \times B \) means \( A \) is son of \( B \)
\( A-B \) means \( A \) is the wife of \( B \)
\( \mathrm{P} \times \mathrm{Q}-\mathrm{S} \) means
Statement I: S is father of P .
Statement II: \( P \) is daughter of \( Q \) .

(A) Both Statement I and Statement II are true

(B) Both Statement II and Statement II are false

(C) Statement I is true but Statement II is false

(D) Statement I is false but Statement II is true.

✓ Correct Answer: Option C Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

P × Q − S Analysis

Step 1: Decode the given relations

A + B means A is the daughter of B.
A × B means A is the son of B.
A − B means A is the wife of B.

Step 2: Analyze the expression P × Q − S

From P × Q, we know that P is the son of Q. This implies Q is the parent of P.
From Q − S, we know that Q is the wife of S. This implies S is the husband of Q.

Step 3: Evaluate Statement I

S is father of P. Since Q is the wife of S and Q is the parent of P, and P is the son of Q, it logically follows that S is the father of P. Therefore, Statement I is true.

Step 4: Evaluate Statement II

P is daughter of Q. From the expression P × Q, we established that P is the son of Q. This contradicts Statement II. Therefore, Statement II is false.

Answer: The correct option is (C) Statement I is true but Statement II is false.