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What is the sub-duplicate ratio of 225 : 144?
Question

What is the sub-duplicate ratio of 225 : 144?

A.

15 : 12

B.

5 : 12

C.

12 : 5

D.

12 : 15

Correct option is A

Given:

The ratio is 225 : 144.

Concept Used:
The sub-duplicate ratio of a given ratio a : b is the ratio of the square roots of a and b, i.e.,

Sub-duplicate ratio = a:b\sqrt{a} : \sqrt{b}

Solution:
For the ratio 225 : 144,

225=15,144=12\sqrt{225} = 15, \quad \sqrt{144} = 12

Thus, the sub-duplicate ratio is:

15 : 12

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