Question

Is p a prime number?
(i) p = 2a
(ii) p> 10
(a) Only I alone is sufficient
(b) Only II alone is sufficient
(c) Both of the statements are sufficient
(d)Cannot be determined​

Answer 1

biond biond biond biond

Answer 2

Given:

The conditions are:

(i) p = 2a

(ii) p > 10

To find:

Is p a prime number?

Solution:

From given, we are asked to find, whether, p a prime number or not based on the given conditions, such as,

(i) p = 2a

(ii) p > 10

The definition of a prime number - a number which is divisible by itself and 1.

Let us consider the conditions one by one.

The first condition is, p = 2a

When it's already stated that, a is multiple of 2 and p is a product of the same, then, that number cannot be a prime number. (from the definition of prime number)

The second condition is, p > 10

There are prime numbers which are greater than 10, like 11, 13, 17, etc.

But, only this condition is not sufficient to tell whether the value of p is a prime number or not.

So, option (d) Cannot be determined​ is correct.