Question

Q: There are three empty drums which can hold 384 litres, 576 litres and and 288 litres of water. Each of them is to be filled by usinga measuring jar, a whole number of times. What is the largest possible capacity of the measuring jar with which we can fill all the three drums ?Choose one of the options below:A: 96 litreB: 24 litresC: 72 litresD: 36 litres​

Answer 1

Step-by-step explanation:

answer (a)

96 litre

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Answer 2

Answer:

A: 96 liters

Step-by-step explanation:

The maximum value of jar for filling all 3 drums should be the HCF of the 3 drums.

The HCF of the 3 drums =

288 = 2 x 2 x 2 x 2 x 2 x 3 x 3

384 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

576 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Therefore, HCF = 2 x 2 x 2 x 2 x 2 x 3

                          = 96

Hence, the answer is A: 96 liters

Hope this helps