Answer
Please see the work below.
Work Step by Step
We know that
$K_c=\frac{[product]^{coefficient }}{[reactant]^{coefficient }}$
$\implies K_c=\frac{[CH_3OH]}{[CO][H_2]^2}$
We plug in the known values to obtain:
$K_c=\frac{(0.02086)}{0.07913(0.1582)^2}=10.53$