state gov Assam (অসম) ADRE Grade III Mock Test Series 2025 Quantitative Aptitude Simplification Surds and Indices
Find the value of \(\left[\left[\frac{\mathrm{p}}{\mathrm{q}}+\frac{\mathrm{q}}{\mathrm{p}}\right]^{\sqrt{101}+\sqrt{99}}\right]^{\sqrt{101}-\sqrt{99}} \)
1
\(\frac{p^4+q^4}{p^2 q^2}+1\)
2
\(\frac{p^4+q^4}{p^2 q^2}+2\)
3
\(\frac{p^4+q^4}{p^2 q^2}+3\)
4
\(\frac{p^4+q^4}{p^2 q^2}+4\)