Choose the correct option.

Statement I: All prime numbers are odd.

Statement II: All even numbers greater than 2 are composite.

Statement III: 48 is a multiple of 4.

All the statements are correct.

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Only statement II and III are correct.

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Only statement I and II are correct.

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None of the above.

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Solution

The correct option is B Only statement II and III are correct.
Let's go through the statements one by one.

Statement I:

We know that 2 is a prime number, but it is an even number.

Hence, this statement is wrong.

Statement II:

Statement I can be extended to:- 2 is the only even prime number.

All other even numbers have factors other than 1 and itself.

$∴$ Statement II is correct.
Statement III:

Also we know $12 \times 4 = 48$

Hence, 48 is divisible by 4.

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Similar questions

Q. All even numbers greater than 2 are composite numbers.

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(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.

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Q. State T for true and for false.
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(i) (ii) (iii) (iv)

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Choose the correct option. Statement I: All prime numbers are odd. Statement II: All even numbers greater than 2 are composite. Statement III: 48 is a multiple of 4.

Choose the correct option.

Statement I: All prime numbers are odd.

Statement II: All even numbers greater than 2 are composite.

Statement III: 48 is a multiple of 4.