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Answer the question based on the following information.
The city K is 30 Km to the southeast of Z while Y is 50 Km to the northwest of K. Also , H is 38 Km to the southeast of Y. L lies in the direct route between Y and K and its distance from H is 14 Km. G also lies on this route and is exactly midway between L and Y. 
Q. If M is 1 Km to the Southeast of L, then it is exactly midway between
  • a)
    H and L
  • b)
    Y and K
  • c)
    Y and H
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Answer the question based on the following information.The city K is 3...
The total distance between Y and K is 50 km (20 km from Y to Z and 30 km from Z to K). If M is 1 km southeast of L, it means that M is 4 + 1 = 5 km from Z.This would also mean that M is 25 km from Y. Hence, M would be exactly midway between Y and K.
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Most Upvoted Answer
Answer the question based on the following information.The city K is 3...
Given Information:
- City K is 30 Km to the southeast of Z.
- City Y is 50 Km to the northwest of K.
- City H is 38 Km to the southeast of Y.
- City L lies in the direct route between Y and K and is 14 Km away from H.
- City G lies on the same route between L and Y and is exactly midway between L and Y.
- City M is 1 Km to the southeast of L.

Analysis:
- To determine the location of M, we need to find its midpoint.
- Since G is the midpoint between L and Y, we can use the distance between G and L to find the distance between M and L.
- We can then use the distance between M and L to determine the distance between M and Y.
- Finally, we can compare the distances between M and Y and between M and K to identify the correct answer.

Calculations:
- City G is the midpoint between L and Y, so the distance between G and L is half of the distance between L and Y. Therefore, the distance between G and L is 14/2 = 7 Km.
- City M is 1 Km to the southeast of L, so the distance between M and L is 7 + 1 = 8 Km.
- City Y is 50 Km to the northwest of K and H is 38 Km to the southeast of Y. Therefore, the distance between Y and H is 50 + 38 = 88 Km.
- Since G is the midpoint between L and Y, the distance between L and Y is twice the distance between G and L. Therefore, the distance between L and Y is 7 x 2 = 14 Km.
- City M is 8 Km away from L, so the distance between M and Y is 14 - 8 = 6 Km.
- City K is 30 Km to the southeast of Z. Since Y is 50 Km to the northwest of K, the distance between Y and K is 30 + 50 = 80 Km.
- Therefore, the distance between M and K is half of the distance between M and Y, which is 6/2 = 3 Km.

Conclusion:
- The distance between M and K is 3 Km, while the distance between M and H is 88 Km. Therefore, M is exactly midway between Y and K. Hence, the correct answer is option B.
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Answer the question based on the following information.The city K is 30 Km to the southeast of Z while Y is 50 Km to the northwest of K. Also , H is 38 Km to the southeast of Y. L lies in the direct route between Y and K and its distance from H is 14 Km. G also lies on this route and is exactly midway between L and Y.Q. If M is 1 Km to the Southeast of L, then it is exactly midway betweena)H and Lb)Y and Kc)Y and Hd)None of theseCorrect answer is option 'B'. Can you explain this answer?
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