If b=3 , then any integer can be expressed as a:-
Options are:- a. 3q , 3q+1 , 3q+2 b. 3q c. None of the above d. 3q+1
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Given : b=3
To find : any integer can be expressed as a
Solution:
Euler lemma
any integer a can be expressed as
a = bq + r
where a , b , q & r are integers
0 ≤ r < b
if b = 3
0 ≤ r < 3
r = 0 , 1 , 2
Then it can be expressed as
a = 3q
a = 3q + 1
a = 3q + 2
Correct Options are:- a. 3q , 3q+1 , 3q+2
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