एक विद्यार्थी के अंक गलती से 45 के स्थान पर 65 दर्ज कर दिए गए। इससे कक्षा के औसत अंक में 1/3 की वृद्धि हो गई। कक्षा में छात्रों की संख्या है:

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SSC CGL 2022 Tier-I Official Paper (Held On : 08 Dec 2022 Shift 3)
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  1. 40
  2. 20
  3. 60
  4. 30

Answer (Detailed Solution Below)

Option 3 : 60
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Detailed Solution

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दिया गया है: 

अंकों के साथ औसत को 45 गिना गया = x

औसत जब अंक 65 गिने गए = x + 

प्रयुक्त अवधारणा:

 x =  x = 

यहाँ n छात्रों की कुल संख्या है।

माना बचे हुए छात्रों के अंकों का योग 

गणना:

x =  

nx =  +45 {समीकरण 1}

x +  =  

 nx +  =  + 65

समीकरण 1 से nx का मान रखने पर

  + 45 +  =   + 65

  = 20

 n = 60

विद्यार्थियों की संख्या 60 है।

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