for 10 class 2nd question
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QuestioN :
Show that any positive odd integer is of the form 6q + 1 , or 6q + 3 , 6q + 5, Where q is some integer.
SolutioN :
We have, General Equation.
Let the positive integer which is divisible by n.
Case 1.
When r = 0.
Even.
Case 2.
When, r = 1.
Odd.
Case 3.
When, r = 2.
Even.
Case 4.
When, r = 3.
Odd.
Case 5.
When, r = 4.
Even.
Case 6.
When, r = 5.
Odd.
Hence Proved.
6q + 1 , or 6q + 3 , 6q + 5 is odd positive integer.
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