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A thread is cut in two parts which are in the ratio 4 : 9 and another thread of the same length is cut in a smaller ratio x : (x + 4). If the difference between the largest piece and the smallest piece is 78 meters and the difference between the two shorter threads is 1.5 meters, then find the length of the thread in meters.
  • a)
    200
  • b)
    195
  • c)
    150
  • d)
    300
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A thread is cut in two parts which are in the ratio 4 : 9 and another ...
Solution: Let the length of the thread be 13y.
x : (x + 4) is the smaller than 4 : 9, (x) /(2x + 4) is the smallest piece and (x + 4)/(2x + 4) is the largest piece.

y = 3x + 6...(i) Since, the difference between the two shorter pieces = 1.5 meters

From (i) and (ii), x = 3 and y = 15 Thus, the length of the thread = 195 meters Hence, option 2.
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A thread is cut in two parts which are in the ratio 4 : 9 and another thread of the same length is cut in a smaller ratio x : (x + 4). If the difference between the largest piece and the smallest piece is 78 meters and the difference between the two shorter threads is 1.5 meters, then find the length of the thread in meters.a)200b)195c)150d)300Correct answer is option 'B'. Can you explain this answer?
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A thread is cut in two parts which are in the ratio 4 : 9 and another thread of the same length is cut in a smaller ratio x : (x + 4). If the difference between the largest piece and the smallest piece is 78 meters and the difference between the two shorter threads is 1.5 meters, then find the length of the thread in meters.a)200b)195c)150d)300Correct answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A thread is cut in two parts which are in the ratio 4 : 9 and another thread of the same length is cut in a smaller ratio x : (x + 4). If the difference between the largest piece and the smallest piece is 78 meters and the difference between the two shorter threads is 1.5 meters, then find the length of the thread in meters.a)200b)195c)150d)300Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A thread is cut in two parts which are in the ratio 4 : 9 and another thread of the same length is cut in a smaller ratio x : (x + 4). If the difference between the largest piece and the smallest piece is 78 meters and the difference between the two shorter threads is 1.5 meters, then find the length of the thread in meters.a)200b)195c)150d)300Correct answer is option 'B'. Can you explain this answer?.
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