यदि 27 और n का लघुत्तम समापवर्त्य (LCM) 54 है, और महत्तम समापवर्तक ( HCF) 9 है, तो n का मान ज्ञात कीजिए।

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RRB Group D Previous Year Paper (Held on: 26 Aug 2022 Shift 2)
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  1. 36
  2. 54
  3. 24
  4. 18

Answer (Detailed Solution Below)

Option 4 : 18
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Detailed Solution

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दिया गया है:

LCM(27, n) = 54

HCF(27, n) = 9

प्रयुक्त सूत्र:

LCM(a, b) × HCF(a, b) = a × b

गणना:

LCM(27, n) × HCF(27, n) = 27 × n

54 × 9 = 27 × n

⇒ 486 = 27 × n

⇒ n = 486 ÷ 27

⇒ n = 18

∴ सही उत्तर विकल्प (4) है।

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