दो संख्याओं का लघुत्तम समापवर्त्य 4104 है और

महत्तम समापवर्तक 9 है। यदि संख्याओं में से एक संख्या 171 है, तब दूसरी संख्या ज्ञात कीजिए।

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SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 4)
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  1. 218
  2. 215
  3. 220
  4. 216

Answer (Detailed Solution Below)

Option 4 : 216
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दिया गया है:

लघुत्तम समापवर्त्य = 4104, महत्तम समापवर्तक = 9, संख्या में से एक = 171

प्रयुक्त अवधारणा:

LCM × HCF = संख्याओं का गुणनखंड 

गणना:

LCM × HCF = संख्याओं का गुणनखंड 

⇒ 4104 × 9 = 171 × अन्य संख्या

⇒ अन्य संख्या = 4104 × 9/171 = 216

इसलिए, अभीष्ट मान 216 है।

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