Question 122

Choose the set in which the third statement is a logical conclusion of the first two.

A. Some icicles are cycles. All cycles are men. Some icicles are men.

B. All girls are teeth. No teeth is yellow. No girls are yellow.

C. No hand is foot. Some foot are heads. Some hands are heads.

D. Every man has a wife. All wives are devoted. No devoted has a husband.

Solution

Statement A: Since all cycles are men and some iciles are cycles, it follows that some iciles are definitely men.

Statement B: Girls is a subset of Teeth. There is no intersection between the sets Teeth and Yellow. So, there is no intersection between the sets Girls and Yellow.

The third sentences in C and D need not necessarily follow from the respective first two statements. Option b) is the correct answer.


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