Tamil Nadu Board Solutions for Chapter: Numbers And Sequences, Exercise 7: Activity

Use Euclid's division algorithm to find the highest common factor $\left(\mathrm{HCF}\right)$ of $340$ and $412$.

Use Euclid's division algorithm to find the highest common factor $\left(\mathrm{HCF}\right)$ of $867$ and $255$.

Use Euclid's division algorithm to find the highest common factor $\left(\mathrm{HCF}\right)$ of $10224$ and $9648$.

Use Euclid's division algorithm to find the highest common factor $\left(\mathrm{HCF}\right)$ of $84, 90$ and $120$.

Find the largest number which divides $1230$ and $1926$ leaving remainder $12$ in each case.

A positive integer when divided by $88$ gives the remainder $61$. What will be the remainder when the same number is divided by $11$?

Prove that two consecutive positive integers are always co-prime.

Can you find the $4$-digit pin number $pqrs$ of an ATM card such that $p^2\times q^1\times r^4\times s^3=3,15,000?$