Question

A number is between $30$ and $50$. It is also a common multiple of $6$ and $8$. When it is added to 45, the result is _______.

• A. $77$
• B. $87$
• C. $90$
• D. $93$

Answer 1

The correct option is D $93$

common multiple of a and b $=L.C.M.(a,b)\times l$

L.C.M. IS LEAST COMMON MULTIPLE of 2 or more numbers.

$24$ is L.C.M of $6$ and $8$

common multiple of $6$ and $8$ $=24x$

hence common multiples of $6$ and $8$ are $24,48,72,96,...so$ $on.$

$48$ lies between 30 and 50 as required.

$Result=48+45=93$