It is given that some elements of a set are even, and that no even element of is prime. Which of the following must be true?

Answer and explanation

Correct answer: B. Some element of is not prime

  1. Step 1: Let : elements of , : even, : prime. Some is , and no is .
  2. Step 2: Take an element that is in both and . It is even, so it is not prime. So some element of is not prime.
Answer
Some element of is not prime.
Why not the others: 'No element is prime' is not forced since odd elements may be prime; 'some element is prime' is not forced either; 'every element is even' is not given; 'every prime is even' contradicts the second fact (a prime would be an even prime).

Practise more Further deductions.

Free questions with an explanation for every one, and full timed TMUA mock tests.

All Further deductions questionsTake a mock test

More Further deductions questions