Question

Four tanks contain 250 litres, 500 litres, 750 litres and 1000 liters of water respectively.
Find the maximum capacity of a container that can measure the quantity of water in each
tank exactly?
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Answer 1

Given :

• Four tanks contain 250 litres, 500 litres, 750 litres and 1000 litres of water respectively.

To Find :

• The maximum capacity of a container that can measure the quantity of water in each

tank exactly.

Solution :

The amount of water in the four tanks are 250 litres, 500 litres, 750 litres and 1000 litres.

The maximum capacity of the container that can measure the quantity of water in each tank exactly would be the HCF of the amount of water in all the tanks.

Factorising each value :-

→ 250 = 5 × 5× x 5× x 2

→ 500 = 5 × 5 × 5 × 2 × 2

→ 750 = 5 × 5× 5 × 3 × 2

→ 1000 = 5 × 5 × 5 × 2 × 2 × 2

Now, the HCF would be the product of those numbers that occur in the factors of all the given factorised numbers :-

→ HCF (250, 500, 750, 1000) = 5 x 5 x 5 x 2

→ HCF (250, 500, 750, 100) = 250

Therefore the maximum capacity of a container which can measure the water in all these tanks exactly is 250 litres.