Question

If b = 3, then any integer can be expressed as a = *
Options
3q, 3q+1, 3q + 2
3q
None of the above
3q + 1

Answer 1

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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