wiz-icon
MyQuestionIcon
MyQuestionIcon
2
You visited us 2 times! Enjoying our articles? Unlock Full Access!
Question

If n is a prime number greater than 3, what is the remainder when n2 is divided by 12 ?

A
0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
1
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
E
5
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 1
n is the prime number greater then 3.
so next prime number is n=5
so 52=25 when it is divide by 12 it gives remainder 1.
take n=7
72=49 when it is divide by 12 it gives remainder 1.
take n=11
112=121 when it is divide by 12 it gives 1 as remainder.
so from above we conclude that when a prime number which is greater then 3 is divide by 12 it always gives remainder as 1.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Nuclear Energy
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon