Question

If p = n(m+n)(m+n-1)m, which of the following are the factors of p (Given p,n,m are natural numbers).

(i) n

(ii) m

(iii) m-n

(iv) m+n

• A. only (i), (ii)
• B. only (i), (ii), (iii)
• C. only (i), (ii), (iv)
• D. All (i), (ii), (iii), (iv)

Answer 1

The correct option is C

only (i), (ii), (iv)

Since m, n, m+n, m+n-1 all divide p without leaving any remainder, all these are factors. However (m – n) is not a factor.