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?

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

60 litres

40 litres

50 litres

70 litres

answer is D.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

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.

JEE

NEET

Foundation JEE

Foundation NEET

CBSE