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The houses of Asma and Seema face each other on a road-going North-South. Asma’s house is on the western side, she comes out of her house and turns left, travels for 5 km. She then turns right, travels 5 km and reaches the front of Geeta’s house. Seema does exactly the same and reaches in front of Shobha’s house. In this context, which of the following statement is correct?

#### Options

The houses of Shobha and Geeta are less than 20 km apart

The houses of Shobha and Geeta are 20 km apart

Shobha and Geeta lives in the same street

Geeta’s house faces South

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#### Solution

The houses of Shobha and Geeta are less than 20 km apart

**Explanation:**

Distance between shobha and Geeta's house:

Distance between two house = `sqrt((10)^2 + (10)^2) = 10 sqrt2` = 14.14 km

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