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Oh that any positive or integer is of the form 4q + 1 or 4q + 3 where q is some integer

Posted by Khushi Khushi 1 year, 8 months ago

CBSE > Class 10 > Mathematics

3 answers

Omya Aryan 1 year, 8 months ago

Not in syllabus

Itz__Kritika Koli 🖤 1 year, 8 months ago

By Euclid's division algorithm, a=bq+r Take b=4 Since 0 < r < 4, r = 0,1,2,3 So, a=4q,4q+1,4q+2,4q+3 Clearly, a=4q,4q+2 are even, as they are divisible by 2. Therefore 'a' cannot be 4q,4q+2 as a is odd. But 4q+1,4q+3 are odd, as they are not divisible by 2. Any positive odd integer is of the form (4q+1) or (4q+3).

Abhi® Rana 1 year, 8 months ago

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