List of top Signals and Systems Questions on Convolution asked in GATE BM

The figure below shows the impulse response of a linear time-invariant (LTI) system, $h[n] = [0, 0.6, 0.8, 0.5, 0.3, 0]$ for $n = 0$ to $5$. For an input $x[n] = [1, 0.6, 0, 0, 0, 0]$ for $n = 0$ to $5$, the maximum value of its output $y[n]$ is . (Round off to one decimal place)

$x[n]$ is convolved with $h[n]$ to give $y[n]$. If $y[2] = 1$ and $y[3] = 0$, then $h[0] = \underline{\hspace{1cm}}.$ (Graphs are not uniformly scaled)