A naughty student breaks the pencil in such a way that the ratio of two broken parts is same as that of the original length of the pencil to one of the larger part of the pencil, The ratio of the other part to the original length of pencil is:

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1: 2

\sqrt{5}

2:(3+

\sqrt{5}

)

: \sqrt{5}

Can't be determined

answer is B.

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Detailed Solution

Concept- The trick to answering questions of this nature is to make an initial assumption and then just follow the instructions provided. And it should be noted that when a problem has been addressed but the solution does not match, if rationalisation is feasible, do it so that the choice can match. As in the case of this inquiry.
The length of larger part be

And the smaller part be

So, their ratio is

is to

Let

Negative value cannot be considered
So,

so, the ratio
Question Image

Therefore,

Hence,the correct option is 2.

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