List of top General Aptitude Questions on Number Systems asked in GATE MT

If \( P e^x = Q e^{-x} \) for all real values of \( x \), which one of the following statements is true?
Let \( p_1 \) and \( p_2 \) denote two arbitrary prime numbers. Which one of the following statements is correct for all values of \( p_1 \) and \( p_2 \)?
Let $p_1$ and $p_2$ denote two arbitrary prime numbers. Which one of the following statements is correct for \emph{all values of $p_1$ and $p_2$?}