Manohar cycles X km towards west and then turns right and cycles Y km to reach his office. Now, the shortest distance between the starting point and his office is 13 km. What can be the value of X and Y, respectively, (in km)?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 12 and 5
Manohar cycles on the following path:

Now, as we can see that his path forms a right-angle triangle we can apply Pythagoras Triplets here :
122 + 52 = 132
Pythagorus triplets which involes 13 as hypotenuse are ( 12, 5, 13)