According to Euclid's division lemma,for given positive integers $a$ and $b,$ there exist unique non-negative integers $q$ and $r$ such that $a = bq + r,$ where ...........

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

Explore More

Similar Questions

Which of the following is Bezout's identity?

According to Euclid's division lemma,for $a$ and $5$,if $a = 5q + r$ is unique,then $r = \ldots$ is not possible.

Difficult
View Solution

Find the smallest five-digit number which is exactly divisible by $15$,$55$,and $99$.

Prove that the following number is irrational: $6+\sqrt{2}$.

Find the square root of $12-\sqrt{140}$.

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