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
• B. If the data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question
• C. If the data either in statement I alone or in statement II alone are sufficient to answer the question
• D. If the data given in both statements I and II together are not sufficient to answer the question
• E. If the data in both statements I and II together are necessary to answer the question

Answer 1

The correct option is E

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 .

$$\begin{array}{c}=\sqrt{X{Z}^2+Y{Z}^2}=\sqrt{35^2+20^2}km\\ =\sqrt{1625}km=40.31km.\end{array}$$