Question
Download Solution PDFएक 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?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया 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।
Last updated on Jun 13, 2025
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