दो संख्याओं का अनुपात 3 : 4 है और उनका लघुत्तम समापवर्त्य 480 है। उनका महत्तम समापवर्तक ज्ञात कीजिए।

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RRB NTPC CBT 2 (Level-3) Official Paper (Held On: 14 June 2022 Shift 1)
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  1. 30
  2. 40
  3. 160
  4. 120

Answer (Detailed Solution Below)

Option 2 : 40
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दिया गया है:

दो संख्याओं का अनुपात 3 : 4 है। 

उनका लघुत्तम समापवर्त्य 480 है। 

प्रयुक्त अवधारणा:

दो संख्याओं का गुणनफल = महत्तम समापवर्तक × लघुत्तम समापवर्त्य

गणना:

माना संख्याएं 3x और 4x हैं। 

यहाँ x दोनों संख्याओं का महत्तम समापवर्तक है। 

अब,

3x × 4x = 480 × x

⇒ 12x2 = 480x

⇒ x = 40

अत: संख्याओं का महत्तम समापवर्तक = 40

∴ उनका महत्तम समापवर्तक 40 है।

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