Problem

Problem

| Column I | | Column II | |-----|------------------------------------------------------------------------------------------------------------------------------------------------------------------|-----|-----------| | (A) | The expression log⁡0.58\sqrt{\log_{0.5} 8} has the value equal to | (p) | 1 | | (B) | The value of the expression (log⁡102)3+log⁡108⋅log⁡105+(log⁡105)3+3(\log_{10} 2)^3 + \log_{10} 8 \cdot \log_{10} 5 + (\log_{10} 5)^3 + 3 , is | (q) | 2 | | (C) | Let N=log⁡215⋅log⁡1/62⋅log⁡3(16)N = \log_2 15 \cdot \log_{1/6} 2 \cdot \log_3 \left( \frac{1}{6} \right) . The value of [N][N] is (where [⋅][ \cdot ] denotes the greatest integer function) | (r) | 3 |

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