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Previous Year Questions

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Question :

Directions :Two persons Soham and Sneha planned to meet at the cafe, they started from different points. Soham started walking from his home in the north direction. After walking 5m he reaches point B and then he turns right and walks for another 4m to reach point D. He then turns left from point D and walks for 3m to reach point K. Then he turns right and walks for 11m to reach point S. He then takes two consecutive right turns of 6m and 2m to reach the cafe.

Sneha started walking from her home in the north direction. After walking 5m she turns left from point M and walks for 7m and then turns right from point Y. She then walks for 4m. Then she turns right from point P and walks for 10m to reach point Q. She then turns left and walks for 2m to reach Cafe.

What is the shortest distance between Soham's home and point S?

1. 17m

2. 21m

3. 15m

4. 25m

5. 10m

Correct Answer : 1
Solution :

Soham started walking from his home in the north direction. After walking 5m he reaches point B and then he turns right and walks for another 4m to reach point D.

He then turns left from point D and walks for 3m to reach point K. Then he turns right and walks for 11m to reach point S. He then takes two consecutive right turns of 6m and 2m to reach the cafe.

Sneha started walking from her home in the north direction. After walking 5m she turns left from point M and walks for 7m and then turns right from point Y. She then walks for 4m.

Then she turns right from point P and walks for 10m to reach point Q. She then turns left and walks for 2m to reach Cafe.

Joining both figures -

By Pythagoras theorem -

HS2 = HO2 + OS2

= 82 + 152

= 64 + 225

HS =

HS = 17m

The shortest distance between Soham's home and point S is 17m.

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