9730 - 1430 या संख्येला ________ ने निःशेष भाग जातो:

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CDS Elementary Mathematics 16 April 2023 Official Paper
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  1. 37 पण 83 नाही
  2. 83 पण 37 नाही
  3. 37 आणि 83 दोन्ही
  4. 37 किंवा 83 नाही

Answer (Detailed Solution Below)

Option 3 : 37 आणि 83 दोन्ही
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संकल्पना:

an - bn ला नेहमी (a - b) आणि (a + b) ने भाग जातो.

गणना:

आपल्याकडे, 9730 - 1430 आहे,

वरील संकल्पना वापरून,

9730 - 1430 ला पुढील संख्यांनी निःशेष भाग जातो:

(97 - 14) = 83

आणि

(97 + 14) = 111 = 37 × 3

∴ 9730 - 1430 याला 37 आणि 83 या दोन्हीने भाग जातो.

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