Hello,

Can you please assist with this:

If p and q are two consecutive positive integers, is pq a multiple of 24?

(1) p is a multiple of 8.
(2) q is an odd integer.


I am getting A


My approach:

Let the 2 consecutive integers be p(p+1)

Is: p(p+1) a multiple of 24?

1) p is a multiple of 8

Hence is 8(8+1) a multiple of 24? - Yes. Hence, suff.


2) q is an odd integer

Let q = 3. Hence, p = 2 - Is pq a multiple of 24 - No.
However as seen above when p = 8 and q = 9, pq is a multiple of 24.

Hence, in-suff.


Hence, A


Thanks for your help,
Sri