wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

19. If n is a positive integer, then n(n+1)(n+2)is


A

(a) odd whenever n is odd

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

(b) even whenever n is even

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

(c) divisible by 3 only when n is odd

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
(d) divisible by 4 whenever n is even
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D (d) divisible by 4 whenever n is even
Ans: (d)

Sol:
n(n+1(n+2) will be even, whether n is even or odd because either (n+1) or (n+2) will be even.

n(n+1)(n+2) will be divisible by 3, whether n is even or odd, because either of n or n+1 or n+2 will be a divisor of 3.

n(n+1) (n+2) will be divisible by 4 whenever n is even because either n or n+2 will be a divisor of 4.


flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Factorising Numerator
QUANTITATIVE APTITUDE
Watch in App
Join BYJU'S Learning Program
CrossIcon