if you look at the question we have equations as

2+9=711

14+6=820;

17+11=628

then 12+3=??

from Equation 1 

2+9=711

2+9=(2-9)(2+9)

= 711

here we used a formula called a+b=(a-b)(a+b)

similarly for remaining equations

Equation:2

14+6=(14-6)(14+6)=820

Equation:3

17+11=(17-11)(17+11)=628

now we have 12+3=??

12+3=(12-3)(12+3)=915

12+3=915 is the correct answer

Correct Answer:  Man 2 will shout out after some time.

Explanation:

Here’s why: Man 3 and 4 cannot see the other hats.
Man 1 sees a white hat and a black hat and knows his hat can be black or white.
Man 2 sees one black hat , but if he is also wearing a black hat, it would be obvious to Man 1 that he is wearing a white hat. Since Man 1 did not shout out, Man 2 concluded that he himself is wearing a white hat.

Ans credits: RedTaurus