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Question

The ratio between 13 and 2 is incommensurable.


A

True

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B

False

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Solution

The correct option is B

False


Two like quantities are commensurable if their ratio is a rational number. If the ratio of two like quantities is an irrational number then they are incommensurable i.e. if the ratio between any two quantities, of the same kind and having the same unit, can be expressed exactly by the ratio of two integers, the quantities are known as commensurable quantities; otherwise incommensurable.

Here 13 and 2 are integers. Therefore, they are commensurable quantities.


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