CAT 2018 Quant Questions

Given that, p\(^3\) = q\(^4\) = r\(^5\) = s\(^6\)

p\(^3\)=s\(^6\)

p = s\(^{\frac{6}{3}}\) = s\(^2\) ...(1)

Similarly, q = s\(^{\frac{6}{4}}\) = s\(^{\frac{3}{2}}\) ...(2)

Similarly, r = s\(^{\frac{6}{5}}\) ...(3)

\( \Rightarrow \) \(lo{g_s}(pqr)\) 

By substituting value of p, q, and r from equation (1), (2) and (3)

\( \Rightarrow \) \(lo{g_s}({s^2}*{s^{\frac{3}{2}}}*{s^{\frac{6}{5}}})\) 

\( \Rightarrow \) \(lo{g_s}({s^{\frac{{47}}{{10}}}})\) 

\( \Rightarrow \) \(\frac{{47}}{{10}}\)