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If an integer leaves remainder 6 when divided by 7, what is the remainder when (n^2+n+1) is divided by 7?यदि किसी पूर्णांक को 7 से भाग देने पर शेषफल 6 है, तो (n^2+n+1) को 7 से भाग देने पर शेषफल क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 11
Step 1: Replace (n) by its remainder 6. Step 2: The remainder of (n^2+n+1) comes from (6^2+6+1=43). Step 3: Dividing 43 by 7 gives remainder 1.चरण 1: (n) की जगह शेषफल 6 रखें। चरण 2: (n^2+n+1) का शेषफल (6^2+6+1=43) से मिलेगा। चरण 3: 43 को 7 से भाग देने पर शेषफल 1 है।
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