दो संख्याओं का महत्तम समापवर्तक (HCF) 8 है जबकि उनका लघुतम समापवर्त्य (LCM) 144 है। यदि एक संख्या 16 है तो दूसरी संख्या ज्ञात कीजिए।

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Bihar STET TGT (Hindi) Official Paper-I (Held On: 10 Sept, 2023 Shift 1)
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  1. 108
  2. 96
  3. 72
  4. 36

Answer (Detailed Solution Below)

Option 3 : 72
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Bihar STET Paper 1 Social Science Full Test 1
150 Qs. 150 Marks 150 Mins

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दिया गया है:
महत्तम समापवर्तक (GCM या HCF) = 8
लघुतम समापवर्त्य (LCM) = 144

प्रयुक्त अवधारणा:
LCM × HCF = दो संख्याओं का गुणनफल

गणना:
पहली संख्या 16 है, माना कि दूसरी संख्या x है।
LCM × HCF = 16 × x

⇒ 144 × 8 = 16 × x

∴ अभीष्ट दूसरी संख्या 72 है।

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