(B) To check if two numbers are co-prime,their $HCF$ must be $1$. We use Euclid's division algorithm: $396 = 231 \times 1 + 165$ $231 = 165 \times 1 +

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(B) To check if two numbers are co-prime,their $HCF$ must be $1$. We use Euclid's division algorithm: $396 = 231 \times 1 + 165$ $231 = 165 \times 1 + 66$ $165 = 66 \times 2 + 33$ $66 = 33 \times 2 + 0$ Since the $HCF$ is $33$ (which is not $1$),the numbers $231$ and $396$ are not co-prime.

Class 10 Mathematics Real Numbers Mix Examples - Real Numbers

Easy

Using Euclid's division algorithm,determine whether the pair of numbers $231$ and $396$ are co-prime.

A
Yes,they are co-prime.
B
No,they are not co-prime.
C
D

Explore More

Browse All

Question Bank

All Subjects

Class 10 Questions

Class 10

Mathematics Questions

Chapter

Real Numbers

Subtopic

Mix Examples - Real Numbers

Simplify: $\frac{2}{\sqrt{5}-\sqrt{3}} + \frac{4}{\sqrt{10+\sqrt{84}}} - \frac{2}{\sqrt{7}-\sqrt{5}}$

Difficult

View Solution

Find the $\text{g.c.d.}$ of $867$ and $255$ using Euclid's division algorithm.

Medium

View Solution

Show that the cube of a positive integer of the form $6q + r$,where $q$ is an integer and $r = 0, 1, 2, 3, 4, 5$,is also of the form $6m + r$.

Difficult

View Solution

Show that the square of any positive integer cannot be of the form $5q+2$ or $5q+3$ for any integer $q$.

Difficult

View Solution

The value obtained after rationalising the denominator of $\frac{1}{3+\sqrt{8}}$ is $\ldots \ldots$

Easy

View Solution

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

Using Euclid's division algorithm,determine whether the pair of numbers $231$ and $396$ are co-prime.

Similar Questions

Simplify: $\frac{2}{\sqrt{5}-\sqrt{3}} + \frac{4}{\sqrt{10+\sqrt{84}}} - \frac{2}{\sqrt{7}-\sqrt{5}}$

Find the $\text{g.c.d.}$ of $867$ and $255$ using Euclid's division algorithm.

Show that the cube of a positive integer of the form $6q + r$,where $q$ is an integer and $r = 0, 1, 2, 3, 4, 5$,is also of the form $6m + r$.

Show that the square of any positive integer cannot be of the form $5q+2$ or $5q+3$ for any integer $q$.

The value obtained after rationalising the denominator of $\frac{1}{3+\sqrt{8}}$ is $\ldots \ldots$

Vedclass Test Series

Exam Paper Generator

Online Exam Module