Three Statements are given followed by three conclusions numbered I, II, and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
Some sweets are chocolates.
All chocolates are cookies.
Some cookies are healthy.
Conclusions:
I. Some sweets are cookies.
II. Some cookies are chocolates.
III. Some chocolates are sweets.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 2 i.e. All conclusions follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some sweets are cookies → True (As some sweets are chocolates, and all chocolates are cookies, so, some sweets are cookies is also true.)
II. Some cookies are chocolates → True (As all chocolates are cookies, so, some cookies are chocolates is also true.)
III. Some chocolates are sweets → True (As all sweets are chocolates, so, some chocolates are sweets is also true.)
Hence, All conclusions follow.