If m, n, o, p and q are integers then $m (n + o) (p - q)$ must be even then which of the following is even?

m + n

No worries! We‘ve got your back. Try BYJU‘S free classes today!

n + p

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A m
$G i v e n t h a t m, n, o, p a n d q a r e i n t e g e r s . ∴ (n + o) i s a n i n t e g e r (p - q) i s a n i n t e g e r ∴ m (n + o) (p - q) i s a p r o d u c t o f 3 i n t e g e r s . T h e p r o d u c t t o b e e v e n o n e o f t h e f a c t o r s t o b e e v e n . e i t h e r m b e e v e n ⟶ o p t i o n C o r (n + o) b e e v e n ⟶ n o o p t i o n o r (p - q) b e e v e n ⟶ n o o p t i o n . ∴ o p t i o n C i s t h e a n s w e r .$

Suggest Corrections

Similar questions

m + n = o + p

m + q = p + n

2 p < m + q

2 m > o + n

If (p+q)th term of G.P. is m and (p-q)th term is n, then pth term will be

If $(p + q)^{th}$ term and $(p - q)^{th}$ term of a G.P. be $m$ and $n,$ then the $p^{th}$ term will be ___.

Join BYJU'S Learning Program