1 से 430 तक कितनी संख्याएँ 7 और 11 दोनों से विभाज्य हैं?

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SSC CGL 2022 Tier-I Official Paper (Held On : 07 Dec 2022 Shift 2)
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  1. 5
  2. 11
  3. 9
  4. 7

Answer (Detailed Solution Below)

Option 1 : 5
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दिया गया:

संख्या 7 और 11 से विभाज्य

प्रयुक्त अवधारणा:

लघुत्तम समापवर्त्य की अवधारणा का उपयोग किया जाता है

गणना:

 7 और 11 का लघुत्तम समापवर्त्य = 77

7 और 11 दोनों से विभाज्य संख्या 77 से विभाज्य होनी चाहिए

संख्याएं हैं

⇒ 77, 154, 231, 308, और 385

और अगली संख्या 430 से अधिक होगी

⇒ इसलिए, 7 और 11 से विभाज्य कुल संख्या 5 है

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