Given positive integers $a$ and $b$ , there exist whole numbers $q$ and $r$ satisfying $a = b q + r, 0 \leq r < b .$

True

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False

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Neither

A

nor

B

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Either

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Solution

The correct option is A True
It is a standard form of remainder theorem. Thus, it will always be true.
Option A

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Given positive integers a and b, there exist whole numbers q and r satisfying a=bq+r,0≤r<b.

The correct option is A TrueIt is a standard form of remainder theorem. Thus, it will always be true.Option A

Given positive integers $a$ and $b$ , there exist whole numbers $q$ and $r$ satisfying $a = b q + r, 0 \leq r < b .$

The correct option is A True
It is a standard form of remainder theorem. Thus, it will always be true.
Option A