question_answer

If \[A=14+(1\times 2\times 3\times 4\times 5\times \,\,................\,10\times 14)\]and \[B=19+(1\times 2\times 3\times 4\times 5\,\,................\,10\times 19)\] then which one of the following is/are correct?

(i) \[B-A\] is a prime number.

(ii) \[B+A\] is a composite number.

(iii) A is a composite number.

(iv) B is a prime number.

A) Both (i) and (ii)              

B) Both (ii) and (iii)

C) Both (iii) and (iv)

D) All (i), (ii), (iii) and (iv)

E) None of these