Question
Download Solution PDFपहली 12 प्राकृत संख्याओं के योग को कौन-सी भाज्य संख्या विभाजित कर सकती है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
पहली 12 प्राकृत संख्याएँ = 1, 2, 3, ..., 12
प्रयुक्त सूत्र:
पहली n प्राकृत संख्याओं का योग = \(\frac{n(n+1)}{2}\)
गणनाएँ:
पहली 12 प्राकृत संख्याओं का योग = \(\frac{12(12+1)}{2} = \frac{12 \times 13}{2} = 78\)
⇒ योग = 78
अब, हम जाँच करते हैं कि कौन-सी भाज्य संख्या 78 को विभाजित करती है।
78 ÷ 6 = 13
⇒ 6, 78 को पूर्ण रूप से विभाजित करता है।
निष्कर्ष:
भाज्य संख्या जो पहली 12 प्राकृत संख्याओं के योग को विभाजित करती है, वह 6 है।
Last updated on Jun 13, 2025
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