एक पेंसिल का  भाग काला है और शेष का  भाग सफेद है। यदि शेष भाग नीला है और इस नीले भाग की लंबाई 3 सेमी है, तो पेंसिल की लंबाई ज्ञात कीजिए।

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Bihar Police Constable Memory Based Paper (Held On: 01 Oct, 2023 Shift 2)
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  1. 6 सेमी
  2. 7 सेमी
  3. 8 सेमी
  4. 9 सेमी

Answer (Detailed Solution Below)

Option 3 : 8 सेमी
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Detailed Solution

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दिया गया है:

पेंसिल का काला भाग = 

पेंसिल का सफेद भाग

शेष  सेमी पेंसिल नीली है। 

गणना:

माना, पेंसिल की लंबाई  और  का लघुत्तम समापवर्त्य होगी = 16x

काले रंग की लंबाई = × 16x = 2x

शेष = 16x - 2x  = 14x

सफेद रंग की लंबाई =  × 14x = 7x

शेष  सेमी पेंसिल नीली है। 

शेष = 14x - 7x = 7x = 

⇒ x = 

पेंसिल की कुल लंबाई = 16x = 16 ×  = 8 सेमी

∴ विकल्प 3 सही उत्तर है।

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