CUET CUET General Test 2024 - A boy leaves his house. He travels 6 km towards South, then travels 8 km towards West and further travels 9 km towards South. How far and in which direction is he from his house now ? | PYQs + Solutions

CUET General Test 2024

Logical Reasoning

Directions

Medium

A boy leaves his house. He travels 6 km towards South, then travels 8 km towards West and further travels 9 km towards South. How far and in which direction is he from his house now ?

13 km, South West

17 km, South West

17 km, North West

13 km, West

Correct Option: 2

The boy travels a total of 6 km + 9 km = 15 km South.

He travels 8 km West.

Using the Pythagorean theorem, the distance from his house is given by

d = \sqrt{(15^2 + 8^2)} = \sqrt{225 + 64} = \sqrt{289} = 17

km.

The direction from his house is South-West.