$$ \mathrm{A}+2 \mathrm{~B} \longrightarrow \mathrm{AB}_2
$$ 36.0 g of 'A' (Molar mass: $60 \mathrm{~g} \mathrm{~mol}^{-1}$ ) and 56.0 g of 'B' (Molar mass: $80 \mathrm{~g} \mathrm{~mol}^{-1}$ ) are allowed to react. Which of the following statements are correct ?
A. ' $A$ ' is the limiting reagent.
B. 77.0 g of $\mathrm{AB}_2$ is formed.
C. Molar mass of $A B_2$ is $140 \mathrm{~g} \mathrm{~mol}^{-1}$.
D. 15.0 g of A is left unreacted after the completion of reaction.
Choose the correct answer from the options given below i