Question

A certain type of wooden board is sold only in lengths of multiples of $25$ cm from $2to10$ meters. A carpenter needs a large quantity of this type of board in $1.65$ m length. For the minimum waste, the length to be purchased should be

• A. $3.30$ m
• B. $6.60$ m
• C. $8.25$ m
• D. $9.95$ m

Answer 1

The correct option is C $8.25$ m

$1.65m=165cm$

$\therefore$ Required length=LCM of $25and165$

$\Rightarrow 5\times 5\times 3\times 11=825cm=8.25m$