Question

Study the following information carefully and answer the questions given below:

‘A’ walks 10 km north from point Q to reach point H. he takes a left turn and walks 9 km to reach point S. On the other side, ‘B’ walks 5 km north from point Y to reach point J. point Y is 9 km either east or west from point Q. Next ‘B’ turns to his right and walks 4 km to reach point D. Also ‘A’ turned left from point S and reached point M after walking 5 km. M is in west direction from J.

Q. What is the shortest distance between points Q and D?

• A. $\sqrt{194}$km
• B. $\sqrt{198}$km
• C. $\sqrt{197}$km
• D. $\sqrt{196}$km
• E. $\sqrt{195}$km

Answer 1

The correct option is A $\sqrt{194}$km

From the given information the distance travelled can be plotted as


Shortest distance between Q and D
$=\sqrt{Q{X}^2+D{X}^2}=\sqrt{{13}^2+5^2}=\sqrt{194}km$