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UPSC NDA II 2025 Mathematics Paper

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Question Numbers: 23-24
For the following two (02) items:
Let p=j=1nlog102j and q=j=1nlog105jp = \sum\limits_{j = 1}^{n} \log_{10} 2^{j} \text{ and } q = \sum\limits_{j = 1}^{n} \log_{10} 5^{j}
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