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 km.
Statement II. Village 'Y' is to the west of village 'Z' at a distance of 20 km.

• A. If the data in statement I alone are sufficient to answer the question, while the data in statement II alone not sufficient to answer the question;
• B. If the data in statement II alone are sufficient to answer the question, while the data in statement I all are not sufficient to answer the question;
• C. If the data in either statement I alone are statement II alone are not sufficient to answer the question;
• D. If the data even 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.

Taking Z as the reference point, the above information can be used as shown in figure.

Distance between $X$ amd $Y$

$=\sqrt{(35{)}^2+(20{)}^2}$

Using pythagoras theorem

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

Hence option E is correct.