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NIMCET 2013 — Reasoning PYQ

NIMCET | Reasoning | 2013

Given that:

i) Some apples are blackberries.

ii) Some doughnuts are apples.

iii) No coconut is a doughnut.

iv) All blackberries are coconuts.

Which of the following statements is false?

Choose the correct answer:

Explanation

Solution

Statement 2 is True: Since "Some apples are blackberries" and "All blackberries are coconuts," there must be an overlap between apples and coconuts.
Statement 4 is True: Since "No coconut is a doughnut," it is logically equivalent to say "All doughnuts are not coconuts."
Statement 1 is False: We know "No coconut is a doughnut" and "All blackberries are coconuts." This implies that no blackberry can be a doughnut. Therefore, saying "Some blackberries are doughnuts" is false.