Question
Download Solution PDFयदि 45 : 12 :: 75 : x है, तब x और 30 का तृतीयानुपाती ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
यदि 45 : 12 :: 75 : x है, तो x और 30 का तृतीयानुपाती ज्ञात कीजिए।
प्रयुक्त सूत्र:
तृतीयानुपाती:
माना a और b के लिए तृतीयानुपाती 'z' है।
तब, (a : b :: b : z)
अतः,
z =
गणना:
प्रश्नानुसार,
45 : 12 : : 75 : x.
इसे इस प्रकार लिखा जा सकता है:
⇒
⇒ x =
अब,
माना 20 और 30 का तृतीयानुपाती y है।
⇒ y =
20 और 30 का तृतीयानुपाती = 45
अतः, अभीष्ट उत्तर '45' है।
Additional Information
1. प्रथमानुपाती:
माना a, b और c का प्रथमानुपाती 'x' है।
तब, (x : a :: b : c)
अतः,
x =
2. मध्यानुपाती:
माना a और b का मध्यानुपाती 'x' है।
तब, (a : x :: x : b)
अतः,
x =
3. चतुर्थानुपाती:
माना a, b और c का प्रथमानुपाती 'x' है।
तब, (a : b :: c : x)
अतः,
x =
Last updated on Jun 26, 2025
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-> The SSC GD Notification 2026 will be released in October 2025 and the exam will be scheduled in the month of January and February 2026.
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