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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दिया गया है: 

अंकों के साथ औसत को 45 गिना गया = x

औसत जब अंक 65 गिने गए = x + \({1\over3}\)

प्रयुक्त अवधारणा:

 x =  x = \( {\sum y \over n}\)

यहाँ n छात्रों की कुल संख्या है।

माना बचे हुए छात्रों के अंकों का योग \(\sum z \: \)

गणना:

x = \({\sum z+45\over n}\) 

nx = \(\sum z \) +45 {समीकरण 1}

x + \(1\over3\) = \({\sum z+65\over n}\) 

 nx + \(n\over3\) = \(\sum z \) + 65

समीकरण 1 से nx का मान रखने पर

 \(\sum z \) + 45 + \(n\over3\) =  \(\sum z \) + 65

 \(n\over3\) = 20

 n = 60

विद्यार्थियों की संख्या 60 है।

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