Question

The largest number which divides $70$ and $125,$ leaving remainders $5$ and $8$ respectively is :

• A. $13$
• B. $65$
• C. $875$
• D. $1750$

Answer 1

The correct option is A $13$

Number when divides $70$ and $125$ leaves remainders $5$ and

$8,$ then

$70-5=65$

$125-8=117$

then HCF of $65$ and $117$ is

$65=5\times 13$

$117=3\times 3\times 13$

Hence, HCF of $65$ and $117$ is $13.$

$13$ is the largest number which divides $70$ and $125$ and leaves remainders $5$ and $8.$