एक संख्या को जब 7 से विभाजित करते हैं, तो शेषफल 4 बचता है। यदि समान संख्या के वर्ग को 7 से विभाजित करते हैं, तो शेषफल क्या आता है?

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SSC CGL 2022 Tier-I Official Paper (Held On : 03 Dec 2022 Shift 3)
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  1. 3
  2. 1
  3. 4
  4. 2

Answer (Detailed Solution Below)

Option 4 : 2
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दिया गया है:

एक संख्या को जब 7 से विभाजित करते हैं, तो शेषफल 4 बचता है। 

प्रयुक्त अवधारणा:

भाज्य = भाजक × भागफल + शेषफल

गणना:

माना संख्या और भागफल क्रमशः n और d हैं।

प्रश्नानुसार,

N = 7D + 4

⇒ N2 = (7D + 4)2

⇒ N2 = 49D2 + 56D + 16

⇒ N2 = 7(7D2 + 8D + 2) + 2

इसलिए, 7 (7D2 + 8D + 2), 7 से पूरी तरह से विभाज्य है।

अब, शेषफल 2 है।

 शेषफल 2 है।

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