Question

four tanks contain 250 litres , 500 letters, 750 litres and 1000 litres of water respectively. find the maximum capacity of container that can measure the quantity of water in each tank exact ly​

Answer 1

Answer:

250 litres

Step-by-step explanation:

Given:

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

To find:

• The maximum capacity of container that can measure the quantity of water in each tank exactly.

Solution:

Here, in this question we need to find out the factors of the given volumes of tank by using prime factorization method and then we will find HCF that is the highest common factor of these numbers to find out the maximum capacity of container that can measure the quantity of water in each tank exactly.

Let's find out...

By using prime factorization method,

• Factors of 250 = 2 × 5 × 5 × 5

• Factors of 500 = 2 × 2 × 5 × 5 × 5

• Factors of 750 = 2 × 3 × 5 × 5 × 5

• Factors of 1000 = 2 × 2 × 2 × 5 × 5 × 5

Now, to find out H.C.F we need to take multiply the common factor which is present in all the given numbers.

• H.C.F of 250, 500, 750 and 1000 = 2 × 5 × 5 × 5
• H.C.F of 250, 500, 750 and 1000 = 10 × 25
• H.C.F of 250, 500, 750 and 1000 = 250

∴ The maximum capacity of container that can measure the quantity of water in each tank exactly = 250 litres

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