GATE EC 2023 Set 1 — Question 6
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General Aptitude → Analytical Aptitude → Deduction & Induction
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Question
Forestland is a planet inhabited by different kinds of creatures. Among other creatures, it is populated by animals all of whom are ferocious. There are also creatures that have claws, and some that do not. All creatures that have claws are ferocious.Based only on the information provided above, which one of the following options can be logically inferred with certainty?
Correct answer
(D) Some ferocious creatures are creatures with claws.
Solution
Let be the set of animals, be the set of ferocious creatures, and be the set of creatures with claws.
From the passage:
(A) : Not necessarily true. Both and are subsets of , but we don't know if is a subset of .
(B) Some are not : This contradicts the statement .
(C) Some not are : This also contradicts .
(D) Some are : Since and is non-empty, there must be elements in that are also in . This is a valid logical inference.
From the passage:
1. (All animals are ferocious)
2. (All creatures with claws are ferocious)
3. (There are creatures that have claws)
Evaluating the options:(A) : Not necessarily true. Both and are subsets of , but we don't know if is a subset of .
(B) Some are not : This contradicts the statement .
(C) Some not are : This also contradicts .
(D) Some are : Since and is non-empty, there must be elements in that are also in . This is a valid logical inference.
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