दो संख्याओं का महत्तम समापवर्तक 17 है और उनके लघुत्तम समापवर्त्य के अन्य दो गुणनखंड 11 और 19 हैं। दोनों संख्याओं में से सबसे छोटा है:

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SSC CGL 2022 Tier-I Official Paper (Held On : 13 Dec 2022 Shift 2)
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  1. 209
  2. 187
  3. 323
  4. 306

Answer (Detailed Solution Below)

Option 2 : 187
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दिया गया है:

दो संख्याओं का महत्तम समापवर्तक 17 है और उनके लघुत्तम समापवर्त्य के अन्य दो गुणनखंड 11 और 19 हैं।

प्रयुक्त अवधारणा:

यदि दो संख्याओं का महत्तम समापवर्तक H है और उनके लघुत्तम समापवर्त्य के अन्य दो गुणनखंड A और B हैं, तो संख्याएँ क्रमशः AH और BH हैं।

गणना:

छोटी संख्या = 17 × 11 = 187

∴ दोनों संख्याओं में से छोटी संख्या 187 है।

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