Disjunction of the statement:" 3 is not even and 3 is not prime." is

3 is not even so 3 is not prime.

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3 is not even and 3 is prime.

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3 is even and 3 is prime.

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3 is not even or 3 is not prime.

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Solution

The correct option is D 3 is not even or 3 is not prime.
Disjunction of 2 statements implies either of them occur. Two alternatives are, thus joined by OR.
Hence option $D$ is correct.

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Similar questions

Q. Conjunction of the statement: "

3

is not even and

3

is not prime." is

Q. To prove "" All prime numbers are not odd." we showed that "

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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.

Q. All the odd numbers are prime numbers while all the even numbers are not prime numbers

Question 26
Which of the following statements is not true?

(A) The HCF of two distinct prime numbers is 1
(B) The HCF of two co-prime numbers is 1
(C) The HCF of two consecutive even numbers is 2
(D) The HCF of an even and an odd number is even.

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Disjunction of the statement:" 3 is not even and 3 is not prime." is

The correct option is D 3 is not even or 3 is not prime.Disjunction of 2 statements implies either of them occur. Two alternatives are, thus joined by OR.Hence option D is correct.

The correct option is D 3 is not even or 3 is not prime.
Disjunction of 2 statements implies either of them occur. Two alternatives are, thus joined by OR.
Hence option $D$ is correct.