Question 84

Logical Reasoning Syllogism Easy

A causes B or C, but not both F occurs only if B occurs D occurs if B or C occurs E occurs only if \( C \) occurs J occurs only if E or F occurs D causes G or H or both H occurs if E occurs \( G \) occurs if \( F \) occurs If B occurs, which must occur ?

(A) D
(B) G
(C) H
(D) J
✓ Correct Answer: Option A Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

Logical Deduction: If B Occurs

We need to determine what is guaranteed to happen if B occurs, based on the given rules.

  • D must occur. The rule "D occurs if B or C occurs" is a direct and certain consequence. Since B has occurred, D is guaranteed to occur.
  • G or H may occur, but are not guaranteed. Since D is guaranteed to occur, the rule "D causes G or H or both" is triggered. However, this only guarantees that at least one of them will happen, not a specific one.
  • F may occur, but is not guaranteed. The rule is "F occurs only if B occurs." This means B is a necessary precondition for F, but it does not mean F is a guaranteed outcome of B.
  • J is not guaranteed. J requires either E or F. Since B occurs, C cannot, which makes E impossible. Since F is not guaranteed, J is not guaranteed either.

Conclusion: The only event that is certain to occur if B occurs is D.

Final Answer: A. D

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