QUESTION

CSAT

Easy

Reasoning

Prelims 2018

Consider the following sum: +1+2+3+1=21\bullet + 1 \bullet + 2 \bullet + \bullet 3 + \bullet 1 = 21 \bullet In the above sum, \bullet stands for

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Explanation

Given the following sum: +1+2+3+1=21•+1•+2•+•3+•1=21• We need to determine what the symbol "•" represents.

Solution: Let "•" be denoted by nn. Rewriting the equation in terms of nn: n+1n+2n+n3+n1=21nn+1n+2n+n3+n1=21n Now, expand each term: n+10+n+20+n+10n+3+10n+1=210+nn+10+n+20+n+10n+3+10n+1=210+n Simplifying the equation: 23n+34=210+n23n+34=210+n Subtract nn from both sides: 22n+34=21022n+34=210 Now, subtract 34 from both sides:

22n=17622n=176 Solve for nn: n=8n=8.

Conclusion: The symbol "•" represents the digit 8.

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