Question

A milkman has three different qualities of milk. 403 gallons of 1st quality, 465 gallons of 2nd quality and 496 gallons of 3rd quality. Find the least possible number of bottles of equal size in which different milk of different qualities can be filled without mixing.

• A. 34
• B. 46
• C. 26
• D. 44

Answer 1

The correct option is D 44

The HCF of the given numbers is 31 and hence the number of bottles required would be
$\frac{403}{31}+\frac{465}{31}+\frac{496}{31}=13+15+16=44$
Option (d) is correct.