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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.
View Dynamic Solution & Explanation ▼
Correct Solution: Option C

Step-by-step Solution:

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.

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