Question

A milkman has three different qualities of a milk 403 gallons of first quality, 465 gallons of second quality and 496 gallons of third 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

It is given that gallons of
$1^{st}quality:403$
$2^{nd}quality:465$
$3^{rd}quality:496$
least number of bottles will be in size of HCF (403, 465 and 496)
$403=13\times 31465=15\times 31496=16\times 31$
HCF = 31. So we required 13+15+16 = 44 bottles