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A merchant has 120 litres of oil of one kind, 180 litres of another kind and 240 litres of third kind. He wants to sell the oil by filling the three kinds of oil in tins of equal capacity. What should be the greatest capacity of such a tin?

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60 litres

40 litres

50 litres

70 litres

answer is D.

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Detailed Solution

It is given that the quantities of the three kinds of oils are 120 litres, 180 litres and 240 litres.
Factorise all three numbers 120, 180, 240.

120 = 2^{3} \times 3 \times 5

180 = 2^{2} \times 3^{2} \times 5

240 = 2^{4} \times 3 \times 5

Thus,

HCF (120, 120, 240) = 60

.
Therefore, the greatest capacity of the tin is 60 litres.
Hence, option 4 is correct.

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