What is the shortest distance between Shop 3 and Shop 6 ........

Logical Reasoning(Master ) Direction Sense

Ankush went to the market to visit eight shops – Shop-1, Shop-2, Shop-3, Shop-4, Shop-5, Shop-6, Shop-7 and Shop-8, but not necessarily in the same order. He starts from Shop-1 and walks towards Shop-3 which is at distance of 24 m towards east. He then turns left and walks 16 m to reach Shop-5. Then he walks 57 m southwest to visit Shop-2, which is towards the south of Shop-1, crossing the path which goes through the midpoint of the line joining Shop-1 and Shop-3. After visiting Shop-2, he walked 40 m in east direction and reached Shop-7. He then walked 50 m left to reach Shop-8 and then walked 16 m right to reach Shop-4 and to reach the last shop he walked 35 m towards right.

What is the shortest distance between Shop-3 and Shop 6?

6√87 m

12√10 m

8√24 m

4√77 m

4√89 m

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Explanation:

Using, the Pythagoras theorem:
The shortest distance between Shop-3 and Shop 6 = [(20)² + (32)²]^1/2
The shortest distance between Shop-3 and Shop 6 = [1424]^1/2 = 4√89 m