Euclid's division lemma states that for two positive integers $a$ and $b,$ there exist unique integers $q$ and $r$ such that $a = bq + r,$ where $r$ must satisfy

  • A
    $1 < r < b$
  • B
    $0 \leq r < b$
  • C
    $0 < r \leq b$
  • D
    $0 < r < b$

Explore More

Similar Questions

For any positive integer $n$,the last digit of $5^n$ is always . . . . . . .

Without actually performing the long division,state whether the following rational number will have a terminating decimal expansion or a non-terminating repeating decimal expansion: $\frac{64}{455}$.

The decimal expansion of the rational number $\frac{14587}{1250}$ will terminate after

The last digit of $2^5 \cdot 5^5$ is . . . . . . .

If $n$ is an odd integer,then show that $n^{2}-1$ is divisible by $8$.

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo