यदि A ∶ B = 5 ∶ 7 और B ∶ C = 6 ∶ 11 है, तो A ∶ B ∶ C = ?

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ITBP Constable (Animal Transport) 16 Feb 2020 Official Paper
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  1. 55 ∶ 77 ∶ 66
  2. 30 ∶ 42 ∶ 77
  3. 35 ∶ 49 ∶ 42
  4. इनमें से कोई नहीं

Answer (Detailed Solution Below)

Option 2 : 30 ∶ 42 ∶ 77
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Detailed Solution

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दिया गया है:

A ∶ B = 5 ∶ 7

B ∶ C = 6 ∶ 11

प्रयुक्त सूत्र:

यदि A ∶ B = a ∶ b और B ∶ C = c ∶ d है, तब A ∶ B ∶ C = a × c ∶ b × c ∶ b × d

गणना:

A ∶ B = 5 ∶ 7

B ∶ C = 6 ∶ 11

B के लिए एक समान पद ज्ञात करने के लिए, हम पहले अनुपात को 6 से और दूसरे अनुपात को 7 से गुणा करके दोनों अनुपातों में B को समान कर सकते हैं।

A ∶ B ∶ C

5 × 6 ∶ 7 × 6 ∶ 7 × 11

⇒ 30 ∶ 42 ∶ 77

∴ सही उत्तर विकल्प (2) है।

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