Tamil Nadu Board Solutions for Chapter: Numbers And Sequences, Exercise 36: Unit Exercise

Find $q$ and $r$ for the pair of integers $a=13$ and $b=3$ satisfying $a=bq+r$.

Find $q$ and $r$ for the following pair of integers $a=18$ and $b=4$ satisfying $a=bq+r$.

Find $q$ and $r$ for the following pair of integers $a=21$ and $b=-4$ satisfying $a=bq+r$.

Find $q$ and $r$ for the following pair of integers $a=-32$ and $b=-12$ satisfying $a=bq+r$.

Find $q$ and $r$ for the following pair of integers $a=-31$ and $b=7$ satisfying $a=bq+r$.

Euclid's division algorithm is a repeated application of division lemma until we get remainder as _____. (Write the answer in words)

The HCF of two equal positive integers $k, k$ is _____.

The value of a motorcycle depreciates at the rate of $15\%$ per year. What will be the value of the motorcycle $3$ year hence, which is now purchased for$₹45,000$?