2
You visited us
2
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Combination of n Different Things Taken One or More at a Time
If n is a p...
Question
If
n
is a prime number greater than
3
, what is the remainder when
n
2
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
5
2
=
25
when it is divide by
12
it gives remainder
1
.
take
n
=
7
7
2
=
49
when it is divide by
12
it gives remainder
1
.
take
n
=
11
11
2
=
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
.
Suggest Corrections
0
Similar questions
Q.
P is a prime number greater than 5 What is the remainder when P is divided by 6?
Q.
If Y is a prime number greater than 10000 and it leaves a remainder of 2 when divided by 3, then what remainder does Y leave on division by 6?
___
Q.
The remainder when the square of any prime number greater than 3 is divided by 6, is
(a) 1
(b) 3
(c) 2
(d) 4
[Hint: Any prime number greater than 3 is of the from 6k ± 1, where k is a natural number and (6k ± 1)
2
= 36k
2
± 12k + 1 = 6k(6k ± 2) + 1]