यदि 60 और x का हरात्मक माध्य 48 है, तो x का मान क्या है?

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NDA 02/2021: Maths Previous Year paper (Held On 14 Nov 2021)
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  1. 32
  2. 36
  3. 40
  4. 44

Answer (Detailed Solution Below)

Option 3 : 40
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NDA 01/2025: English Subject Test
30 Qs. 120 Marks 30 Mins

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प्रयुक्त सूत्र:

n पदों के लिए, a1, a2, a3, ……., an

हरात्मक माध्य =

यदि b, a और b का हरात्मक माध्य है तो

 

b = 2ab/(a + b)

गणना:

दिया गया है, 60 और x का हरात्मक माध्य 48 है

प्रयुक्त सूत्र के अनुसार

⇒ 120x = 48 (x + 60)

⇒ 120x = 48x + 2880

⇒ 120x - 48x = 2880

⇒ x = 40

∴ x का मान 40 है

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