Question

सोडाइड एनी पॉजिटिव ऑड इंटिजर इज द फ्रॉम क्यू प्लस 1, और 6 क्यू प्लस 3, और 6 क्यू प्लस फाइव ईयर क्यू इस समय नतीजे​

Answer 1

$\huge\orange{\mid{\fbox{\tt{SoLuTiOn}}\mid}}$

Using Euclid division algorithm, we know that a=bq+r, 0≤r≤b ----(1)

Let a be any positive integer and b=6.

Then, by Euclid’s algorithm, a=6q+r for some integer q≥0, and r=0,1,2,3,4,5 ,or 0≤r<6.

Therefore, a=6qor6q+1or6q+2or6q+3or6q+4or6q+5

6q+0:6 is divisible by 2, so it is an even number.

6q+1:6 is divisible by 2, but 1 is not divisible by 2 so it is an odd number.

6q+2:6 is divisible by 2, and 2 is divisible by 2 so it is an even number.

6q+3:6 is divisible by 2, but 3 is not divisible by 2 so it is an odd number.

6q+4:6 is divisible by 2, and 4 is divisible by 2 so it is an even number.

6q+5:6 is divisible by 2, but 5 is not divisible by 2 so it is an odd number.

And therefore, any odd integer can be expressed in the form 6q+1or6q+3or6q+5

Answer 2

$\huge\bold\red{Given:-}$

find odd positive integers of ,6q+16q+3,6q+5

$\huge\green{Solution}$

Let a and b are two positive integers such that a>b

WKT according to Euclid division lemma a=bq+r

if B=6then,a=6q+r

let's take r=(1,2,3,4)

now,

a=6q+1=one is divisible by 6so it is odd

a=6q+2=2 is divisible by 6 so it's even

a=6q+3=3 is also divisible by 6 so it is also odd

a=6q+4=4is divisible by 6 so it is even

$\huge\bold\red{Conclusion}$

there fore 1,3are the odd integers of 6q+1,6q+3,6q+5