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Show that any positive odd integer is of the form 6q + 1, or 6q + 3, or 6q + 5, where q is some integer.

Posted by Prashant Singh 4 years, 10 months ago

CBSE > Class 10 > Mathematics

3 answers

Yogita Ingle 4 years, 10 months ago

Let a be the positive odd integer which when divided by 6 gives q as quotient and r as remainder.

according to Euclid’s division lemma
a=bq+r

a=6q+r

where , a=0,1,2,3,4,5
then,
a=6q
or
a=6q+1
or
a=6q+2
or
a=6q+3
or
a=6q+4
or
a=6q+5

but here,
a=6q+1 & a=6q+3 & a=6q+5 are odd.

0Thank You

Bhaduram Hembra 4 years, 10 months ago

What is meant by the idea of satyagraha ?

1Thank You

Bhaduram Hembra 4 years, 10 months ago

What is gegraphy

2Thank You

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CBSE > Class 10 > Mathematics