CMAT 2018 Solved Question Paper

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Question : 5 of 100

Marks: +1, -0

The geometric mean proportion between 30 +

√200

and 54 -

√{648}

6 $√2$
4 $√5$
6 $√35$
5 $√6$

Solution:

Geometric mean of two numbers, a, b is given as

√{ab}

GM
⇒

√{(30 + √{200})(54 - √{648})}

⇒

√{10(3 + √2)18(3 - √2)}

⇒

√{180 x 7}

⇒

√1260

= 6

√35

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