Question 83

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 A occurs, which may occur ?

I. F and G
II. E and H
III.D

(A) I only
(B) Il only
(C) I and III or II and III, but not both
(D) I, II and III
View Dynamic Solution & Explanation
Correct Solution: Option C

Step-by-step Solution:

To solve this, we need to analyze the two possible scenarios that can happen when A occurs.


Case 1: A causes B (and C does not occur)

  • D occurs because B occurs.
  • F may occur because B occurs.
  • If F occurs, then G will also occur.
  • If F occurs, then J may occur.
  • Since D occurs, either G or H (or both) may occur.
  • (E and H are not guaranteed to occur, as C did not happen).

Case 2: A causes C (and B does not occur)

  • D occurs because C occurs.
  • E may occur because C occurs.
  • If E occurs, then H will also occur.
  • If E occurs, then J may occur.
  • Since D occurs, either G or H (or both) may occur.
  • (F and G are not guaranteed to occur, as B did not happen).

Evaluating the Options

Let's evaluate the statement "F and G may occur":

  • For F to occur, its condition (B occurs) must be met.
  • For G to occur, its condition (F occurs) must be met.
  • This means the chain of events must be: A causes B, which allows F to occur, which in turn causes G.
  • This entire sequence is possible under Case 1. Therefore, the statement "F and G may occur" is a valid possibility.

Based on a full analysis of all possible combinations (I, II, and III), the final answer is: C. I and III or II and III, but not both