Study the given pattern carefully and select the number that can replace the question mark (?) in it.

4 (15) 1; 7 (22) 3; ? (57) 4

The logic here is

$$4^2-1^3=16-1=15$$ $$\longrightarrow\ $$ $$\text{left number}^2-\text{right number}^3=\text{middle number}$$

$$7^2-3^3=49-27=22$$ $$\longrightarrow\ $$ $$\text{left number}^2-\text{right number}^3=\text{middle number}$$

Let the required number = $$a$$

Similarly, $$a^2-4^3=57$$

$$\Rightarrow$$  $$a^2-64=57$$

$$\Rightarrow$$  $$a^2=121$$

$$\Rightarrow$$  $$a=11$$

$$\therefore\ $$Required number = 11

Hence, the correct answer is Option B