Find the negation of the statement, "Some odd numbers are not prime".

Some odd numbers are primes.

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There is an odd number which is not a prime.

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All odd numbers are primes.

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Not all odd numbers are primes.

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Solution

The correct option is D All odd numbers are primes.
To find the negation of the statement, we find the opposite of the conclusion.
So, negation of the given statement is " All odd numbers are primes"

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Similar questions

State whether the following statements are True or False:

(a) The sum of three odd numbers is even.

(b) The sum of two odd numbers and one even number is even.

(d) If an even number is divided by 2, the quotient is always odd.

(e) All prime numbers are odd.

(f) Prime numbers do not have any factors.

(g) Sum of two prime numbers is always even.

(h) 2 is the only even prime number.

(i) All even numbers are composite numbers.

(j) The product of two even numbers is always even.

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