Project ForgeGeneral Aptitude
Analytical Aptitude
GATE 2016
Hard
Fact: If it rains, then the field is wet.
Read the following statements: (i) It rains (ii) The field is not wet (iii) The field is wet (iv) It did not rain
Which one of the options given below is NOT logically possible, based on the given fact?
- AIf (iii), then (iv).
- BIf (i), then (iii).
- If (i), then (ii).
- DIf (ii), then (iv).
Explanation
The fact states 'rain implies wet field' (i -> iii). Option C claims 'if it rains, then the field is NOT wet' (i -> ii), which directly contradicts the given fact — this is the one that's NOT logically possible. The other options are all consistent with (or don't contradict) the given conditional.
Source: GATE ME 2016 Set-2 (2016)
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