OG math.

[givemeanid]

'could be' is the key. Question is not asking which value will 'always be' a prime. Check other choices and you will realize there is no value of X for which the other choices will ever be true.

[farooq]

If X is a prime number greater than 2.Which of the following could be a prime number??

1-X^2
2-X/2
3-3X
4-X-4
5-X^2+1..

Ans is:- d (X-4)..But if i choose 13 as a prime number then it could be 13-4=9 which is not a prime numeber.Although 11-4=7 which is a prime no.So,this ans gives us two different answers..I am confused which one should be correct..
Plss help.

If X is a prime number greater than 2.Which of the following could be a prime number??

It means is there any choice that can be a prime no. for X.

Only option D full fill this possibility.

[chipbmk]

If X is a prime number greater than 2.Which of the following could be a prime number??

1-X^2
2-X/2
3-3X
4-X-4
5-X^2+1..

Ans is:- d (X-4)..But if i choose 13 as a prime number then it could be 13-4=9 which is not a prime numeber.Although 11-4=7 which is a prime no.So,this ans gives us two different answers..I am confused which one should be correct..
Plss help.

Although the other posters seem to have answered your question, I thought I could provide slightly more detail.

1- x^2 can't be a prime because it will be divisible by 1, x^2, and x.
2- x/2 can't be prime because x is odd and an odd divided by 2 is not an integer
3- 3x can't be prime because it will have 1, x, and 3 as factors.
4- you proved this one yourself
5- x^2+1 can't be prime because if x is odd (as question says it is) than once you add 1 it will be an even. No even greater than 2 is a prime.

Hope that was helpful.