According to Euclid's division lemma,for given positive integers $a$ and $7$,there exist unique non-negative integers $q$ and $r$ such that $a = 7q + r$; where..........

  • A
    $0 < r \leqslant 7$
  • B
    $0 \leqslant r < 7$
  • C
    $1 \leqslant r \leqslant 7$
  • D
    $r \geqslant 7$

Explore More

Similar Questions

The pair .......... is a like surds.

Show that the square of any positive integer is either of the form $4q$ or $4q+1$ for some integer $q$.

Difficult
View Solution

If two positive integers $a$ and $b$ are written as $a = x^3 y^2$ and $b = x y^3$,where $x$ and $y$ are prime numbers,then $HCF(a, b)$ is:

Write whether the square of any positive integer can be of the form $3m + 2$,where $m$ is a natural number. Justify your answer.

The length,breadth,and height of a prayer room are $15\,m$,$12\,m$,and $21\,m$ respectively. Determine the longest rod which can measure the three dimensions of the room exactly. (in $,m$)

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