Question

for two given postivie integers p and q such that p = m ×q + n. where m and n are unique integers, write the relation between q and n

Answer 1

The relation between q and n is that n≤q

1) The given equation in the question p = m ×q + n is the condition of the remainder theorem.

2) The remainder theorem states that if we divide the dividend with a divisor then we get the quotient and remainder. And the obtained remainder is equal to zero or always less than the divisor

Answer 2

Answer:

As a=dq+r, 0<_ r<d , similarly we can say that 0<_n<q.