Neither the first number nor the second number is prime. Which of the following says the same thing?

Answer and explanation

Correct answer: C. The first number is not prime and the second number is not prime

  1. Step 1: 'Neither nor ' means : both fail.
  2. Step 2: So both numbers are non-prime.
Answer
The first number is not prime and the second number is not prime.
Why not the others: 'At least one is not prime' is weaker (the other could be prime); 'exactly one prime' and 'at least one prime' contradict the statement; the implication allows both to be non-prime but also allows the first to be non-prime with the second prime.

Practise more Implications, converses and negations.

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