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 Abhishek walks 100 m from his house towards North. From there he goes 100 m towards West. Here is the house of Shyam. From there they both goes to the market which is in the South-West direction from Shyam’s house. If the market is in the West of Raman’s house, then how far is the market from Raman’s house?
  • a)
    100 m
  • b)
    150 m
  • c)
    300 m
  • d)
    400 m
  • e)
    None of these
Correct answer is option 'E'. Can you explain this answer?
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Abhishek walks 100 m from his house towards North. From there he goes ...

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Abhishek walks 100 m from his house towards North. From there he goes ...
's house. If the distance between Shyam's house and the market is 141.42 m, then what is the distance between Abhishek's house and the market?

We can use Pythagoras theorem to solve this problem. Let's draw a diagram to visualize the situation:

N
|
|
W---+---E
|
|
S

Abhishek's house is 100 m towards North from a point that we can call A. From there, he goes 100 m towards West to reach a point that we can call B. Shyam's house is located at point B. The market is located in the South-West direction from Shyam's house, at a distance of 141.42 m.

Let's call the distance between A and B as d. We can calculate d using Pythagoras theorem:

d^2 = AB^2 + AD^2

where AB = 100 m and AD = 100 m.

Therefore, d^2 = 100^2 + 100^2 = 20000

Taking the square root on both sides, we get:

d = sqrt(20000) = 141.42 m

So, the distance between Abhishek's house and the market is also 141.42 m.
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Abhishek walks 100 m from his house towards North. From there he goes ...
To find the distance between the market and Raman's house, we need to follow the steps and directions given in the question.
1. Abhishek walks 100 m from his house towards North.
2. From there he goes 100 m towards West. Here is the house of Shyam.
3. From Shyam's house, they both go to the market which is in the South-West direction from Shyam's house.
4. The market is in the West of Raman's house.
Now, let's analyze the information:
- Since the market is in the South-West direction from Shyam's house, the distance from the market to Shyam's house can be represented as a diagonal in a right-angled triangle.
- Let's assume the market is x meters South and y meters West from Shyam's house.
- The market is in the West of Raman's house, so Raman's house is East of the market.
However, with the given information, we cannot determine the exact distance between the market and Raman's house. Therefore, the answer is:
E: None of these
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Abhishek walks 100 m from his house towards North. From there he goes 100 m towards West. Here is the house of Shyam. From there they both goes to the market which is in the South-West direction from Shyam’s house. If the market is in the West of Raman’s house, then how far is the market from Raman’s house?a)100 mb)150 mc)300 md)400 me)None of theseCorrect answer is option 'E'. Can you explain this answer?
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