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The square of any positive integer is of the form 3m or 3m + 1 for some integer m. The square can NEVER be of the form:

Class 10Euclid's Division LemmaNumber Systems

A $3 m + 2$
B3m
C $3 m + 1$
D9m

Step-by-Step Solution

Writing

n = 3 q, 3 q + 1

or

3 q + 2

, the squares are 3

m

or

3 m + 1

. No square is of the form

3 m + 2

.

Answer: A)

3 m + 2

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