Question

The smallest three digit multiple of $8$ is $x$ and largest two digit multiple of $6$ is $y$. What is the value of $2y-x$?

• A. $88$
• B. $92$
• C. $78$
• D. $200$

Answer 1

The correct option is A $88$

Since smallest three digit number is $100$.
Let us see some multiples of $8$ near $100$.
$8\times 10=80$
$8\times 11=88$
$8\times 12=96$
$8\times 13=104$

So, $104$ is the smallest three digit multiple of $8$.
$\therefore x=104$.
Similarly, Largest two digit number is $99$.
Let us see some multiples of $6$ near $99$.

$6\times 10=60$
$6\times 11=66$
$6\times 12=72$
$6\times 13=78$
$6\times 14=84$
$6\times 15=90$
$6\times 16=96$
$6\times 17=102$

So, $96$ is the largest two digit multiple of $6$.
$\therefore y=96$.

According to question
$2y-x=96\times 2-104=192-104=88.$