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Byju's Answer
Standard XII
Mathematics
Fundamental Principle of Counting
If 'n' is a...
Question
If
′
n
′
is a natural number, then what would be the number in unit place of
6
n
−
5
n
?
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Solution
Unit place of
6
n
=
6
Unit place of
5
n
=
5
∴
Limit place of
6
n
−
5
n
=
6
−
5
=
1
Hence, the answer is
1.
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Similar questions
Q.
If
n
is any natural numbers, then
6
n
−
5
n
always ends with_________
Q.
If n is any natural number, then 6
n
− 5
n
always ends with
(a) 1
(b) 3
(c) 5
(d) 7
[Hint: For any n ∈ N, 6
n
and 5
n
end with 6 and 5 respectively. Therefore, 6
n
− 5
n
always ends with 6 − 5 = 1.]