Number System Practice Test 5

Question : 10 of 40

Marks: +1, -0

A wine seller had three types of wine, 403 gallon of 1st type, 434 gallon of 2nd type, 465 gallon of 3rd type. Find the least possible number of casks of equal size in which different type of wine can be filled without mixing.

Validate

Solution:

\table {403)},434,{(1};,403↙{---};,{31)},403,{(13};,,31↙{---};,,93;,,93↙{---};,,×

\table {31)},465,{(15};,31↙{---};,{155};,155 ↙{---};,×

For least possible number of casks of equal size, the size of the casks must be the greatest and it is 31 gallon.
∴ Required number

=403/31+434/31+465/31

=13+14+15=42

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