List of top Mathematics Questions on Algebra of Complex Numbers asked in BITSAT

Solve for \( x \): 
\( \log_{10}(x^2) = 2 \).

$i^{57} + \frac{1}{i^{25}}$, when simplified has the value
Let $\alpha, \beta, \gamma$ and $\delta$ are four positive real number such that their product is unity, then the least value of $(1+\alpha)(1+\beta)(1+\gamma)(1+\delta)$ is: