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

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 \( P(x) \) be an arbitrary predicate over the domain of natural numbers. Which ONE of the following statements is TRUE?