एक घनाभ की लंबाई और चौड़ाई में क्रमशः 20% और 25% की वृद्धि की जाती है, जबकि इसकी ऊँचाई में 30% की कमी की जाती है। घनाभ के आयतन में कुल प्रतिशत वृद्धि/कमी कितनी होनी चाहिए?

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SSC CGL 2022 Tier-I Official Paper (Held On : 07 Dec 2022 Shift 3)
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  1. 5% की वृद्धि
  2. 3% की वृद्धि
  3. 2% की कमी
  4. 4% की कमी

Answer (Detailed Solution Below)

Option 1 : 5% की वृद्धि
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Detailed Solution

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गणना:

माना लंबाई, चौड़ाई और ऊँचाई के प्रारंभिक मान है 

100, 100 और 100 

परिवर्तन के बाद,

लंबाई = 120

चौड़ाई = 125

और ऊँचाई = 70

अब, प्रारंभिक आयतन = 1000000

और अंतिम आयतन 

= 120 × 125 × 70

= 1050000

अब, प्रतिशत परिवर्तन 

= (1050000 - 1000000) × 100/1000000

= 50000 × 100/1000000

= 5%

इसलिए, अभीष्ट मान 5% है।

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