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After starting from his house, Naren waked a few meters towards the east. From there, he took a right turn and walked 80 m, and then took a left turn and walked 20 m. Finally, hetook a right turn again and walked 40 m to reach the hospital.If the air distance between his house and the hospital is 130 m, how far did Naren walk towards the east initially? (SSC Sub. Ins. 2018)
- a)40 m
- b)25 m
- c)50 m
- d)30 m
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
After starting from his house, Naren waked a few meters towards the ea...
To solve this problem, let's break down Naren's movements step by step:
1. Naren walks a few meters towards the east from his house.
2. He then takes a right turn and walks 80 m.
3. He takes a left turn and walks 20 m.
4. Finally, he takes a right turn again and walks 40 m to reach the hospital.
Let's assume that Naren walked x meters towards the east initially.
Now, let's analyze his movements in terms of directions:
- East: Naren initially walks x meters towards the east.
- Right: Naren walks 80 m after taking a right turn.
- Left: Naren walks 20 m after taking a left turn.
- Right: Naren walks 40 m after taking a right turn.
To find the air distance between Naren's house and the hospital, we can use the Pythagorean theorem. According to the theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Let's consider the distance Naren walked towards the east as the base of the triangle, the distances after taking the right turn and left turn as the perpendicular sides, and the air distance between the house and the hospital as the hypotenuse.
Using the Pythagorean theorem, we have:
x^2 + (80 + 40)^2 = 130^2
Simplifying the equation:
x^2 + 120^2 = 130^2
x^2 + 14400 = 16900
x^2 = 16900 - 14400
x^2 = 2500
Taking the square root of both sides, we get:
x = √2500
x = 50
Therefore, Naren initially walked 50 meters towards the east.
So, the correct answer is option (c) 50 m.
1. Naren walks a few meters towards the east from his house.
2. He then takes a right turn and walks 80 m.
3. He takes a left turn and walks 20 m.
4. Finally, he takes a right turn again and walks 40 m to reach the hospital.
Let's assume that Naren walked x meters towards the east initially.
Now, let's analyze his movements in terms of directions:
- East: Naren initially walks x meters towards the east.
- Right: Naren walks 80 m after taking a right turn.
- Left: Naren walks 20 m after taking a left turn.
- Right: Naren walks 40 m after taking a right turn.
To find the air distance between Naren's house and the hospital, we can use the Pythagorean theorem. According to the theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Let's consider the distance Naren walked towards the east as the base of the triangle, the distances after taking the right turn and left turn as the perpendicular sides, and the air distance between the house and the hospital as the hypotenuse.
Using the Pythagorean theorem, we have:
x^2 + (80 + 40)^2 = 130^2
Simplifying the equation:
x^2 + 120^2 = 130^2
x^2 + 14400 = 16900
x^2 = 16900 - 14400
x^2 = 2500
Taking the square root of both sides, we get:
x = √2500
x = 50
Therefore, Naren initially walked 50 meters towards the east.
So, the correct answer is option (c) 50 m.
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Community Answer
After starting from his house, Naren waked a few meters towards the ea...
According to question.
(130)2 = (120)2 + (x + 20)2
∴ (130)2 – (120)2 = (x + 20)2
∴ x = 30 m
(130)2 = (120)2 + (x + 20)2
∴ (130)2 – (120)2 = (x + 20)2
∴ x = 30 m
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After starting from his house, Naren waked a few meters towards the east. From there, he took a right turn and walked 80 m, and then took a left turn and walked 20 m. Finally, hetook a right turn again and walked 40 m to reach the hospital.If the air distance between his house and the hospital is 130 m, how far did Naren walk towards the east initially? (SSC Sub. Ins. 2018)a)40 mb)25 mc)50 md)30 mCorrect answer is option 'D'. Can you explain this answer?
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After starting from his house, Naren waked a few meters towards the east. From there, he took a right turn and walked 80 m, and then took a left turn and walked 20 m. Finally, hetook a right turn again and walked 40 m to reach the hospital.If the air distance between his house and the hospital is 130 m, how far did Naren walk towards the east initially? (SSC Sub. Ins. 2018)a)40 mb)25 mc)50 md)30 mCorrect answer is option 'D'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about After starting from his house, Naren waked a few meters towards the east. From there, he took a right turn and walked 80 m, and then took a left turn and walked 20 m. Finally, hetook a right turn again and walked 40 m to reach the hospital.If the air distance between his house and the hospital is 130 m, how far did Naren walk towards the east initially? (SSC Sub. Ins. 2018)a)40 mb)25 mc)50 md)30 mCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for After starting from his house, Naren waked a few meters towards the east. From there, he took a right turn and walked 80 m, and then took a left turn and walked 20 m. Finally, hetook a right turn again and walked 40 m to reach the hospital.If the air distance between his house and the hospital is 130 m, how far did Naren walk towards the east initially? (SSC Sub. Ins. 2018)a)40 mb)25 mc)50 md)30 mCorrect answer is option 'D'. Can you explain this answer?.
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ample number of questions to practice After starting from his house, Naren waked a few meters towards the east. From there, he took a right turn and walked 80 m, and then took a left turn and walked 20 m. Finally, hetook a right turn again and walked 40 m to reach the hospital.If the air distance between his house and the hospital is 130 m, how far did Naren walk towards the east initially? (SSC Sub. Ins. 2018)a)40 mb)25 mc)50 md)30 mCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice SSC CGL tests.
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