CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

n21 is divisible by 8, if n is

A
an integer
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
a natural number
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
an odd integer
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
an even integer
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A: an odd positive integer
Any positive odd integer is of the form of (4m+1) or (4m+3)


Let n=4m+1

so, n21=(4m+1)21=16m2+1(2×4m×1)1

=16m28m

=8m×(2m1)

So, n21 is divisible by 8.


When n=4m+3

n21=(4m+3)21=16m2+32+(2×4m×3)1

=16m2+24m+8

=8(2m2+3m+1)

So, n21 is divisible by 8


n21 is divisible by 8 when n is odd positive integer.


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Divisible by 2 or 5 or Both
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon