In this question, three statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follows/follow from the statements.
Statements:
Some raisins are grapes.
All grapes are apples.
All raisins are fruits.
Conclusions:
I. Some fruits are apples.
II. Some apples are raisins.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. Both conclusions I and II follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some fruits are apples → True (As all raisins are fruits, some raisins are grapes, and all grapes are raisins, so, some fruits are apples is also true.)
II. Some apples are raisins → True (As all raisins are fruits, some raisins are grapes, and all grapes are raisins, so, some apples are raisins is also true.)
Hence, Both conclusions I and II follow.