Question
Download Solution PDFयदि 8 अंकों की संख्या 123456xy, 8 से विभाज्य है, तो (x, y) के कुल संभावित युग्म कितने हैं?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
8 अंकों की संख्या 123456xy, 8 से विभाज्य है।
प्रयुक्त अवधारणा:
यदि किसी संख्या के अंतिम तीन अंक 8 से विभाज्य हों तो वह संख्या 8 से पूर्णतया विभाज्य होती है।
गणना:
इसलिए, 6xy को 8 से विभाज्य होना चाहिए।
अब,
संभावित संख्याएँ 600, 608, 616, 624, 632, 640, 648, 656, 664, 672, 680, 688, 696 हैं।
इसलिए, कुल 13 संभावित युग्म बनाए जा सकते हैं।
∴ अभीष्ट उत्तर 13 है।
Last updated on Jun 11, 2025
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