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Question

# What is the distance between villages X and Y by the shortest route ? Statement I. Village X is to the north of village Z at a distance of 35 kms. Statement II. Village Y is to the west of village Z at a distance of 20 kms

A

If the data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question

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B

If the data either in statement I alone or in statement II alone are sufficient to answer the question

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C

If the data given in both statements I and II together are not sufficient to answer the question

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D

If the data in both statements I and II together are necessary to answer the question

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Solution

## The correct option is D If the data in both statements I and II together are necessary to answer the question From both I and II, we get the arrangement as shown. Clearly, shortest distance between X and Y = XY . =√XZ2+YZ2=√352+202km=√1625km=40.31km.

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