List of top Mathematics Questions on Rational Number asked in BITSAT

If \( \tan 15^\circ \) and \( \tan 30^\circ \) are the roots of the equation \( x^2 + px + q = 0 \), then \( pq = \):

Rational roots of the equation \( 2x^4 + x^3 - 11x^2 + x + 2 = 0 \) are:

Negation of the Boolean expression \( p \Leftrightarrow (q \Rightarrow p) \) is:

If \( f(x) = \frac{x}{\sqrt{1 + x^2}} \), then \( (f \circ f)(x) \) is:

If \[ A = \begin{bmatrix} 0 & 2 \\ 3 & -4 \end{bmatrix} \] and \[ kA = \begin{bmatrix} 0 & 3a \\ 2b & 24 \end{bmatrix}, \] then the values of \( k \), \( a \), and \( b \) respectively are: