SSC CPO 2023 PYQ — Question 192

SSC CPO - 04 Oct 2023 - Shift 2 • Reasoning • Q192

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)