Question:

Read the following information carefully and then answer the questions given below:
P # Q means P is the father of Q
P + Q means P is the mother of Q
P - Q means P is the brother of Q
P * Q means P is the sister of Q
Which of the following shows that A is the Aunt of E?

Updated On: Sep 3, 2025
  • A - B + C # D * E
  • A * B # C * D - E
  • A # B * C + D - E
  • A + B - C * D # E
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The Correct Option is B

Solution and Explanation

Legend recap:
• P # Q → P is the father of Q.
• P + Q → P is the mother of Q.
• P - Q → P is the brother of Q.
• P * Q → P is the sister of Q.

We want: A is the Aunt of E.
That means A must be the sister of E’s father or mother.

Check the given option (B): A * B # C * D - E.
Step by step:
1) A * B → A is the sister of B.
2) B # C → B is the father of C. (So A is the sister of C’s father = Aunt of C.)
3) C * D → C is the sister of D.
4) D - E → D is the brother of E. (So D and E are siblings, meaning C, D, and E are in the same sibling set.)

Chain the reasoning:
- B is father of C, and C is sibling of D and E. Therefore, B is father of all three (C, D, E).
- A is the sister of B. Hence, A is the Aunt of C, D, and E.

Conclusion: The relation string A * B # C * D - E correctly shows that A is the Aunt of E.

Final Answer: Option (B): A * B # C * D - E.
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