Question

Consider an equation ${\log }_2\left({\alpha }^6-16{\alpha }^3+66\right)+\sqrt{4{\beta }^4-8{\beta }^2+13}+\left|\left[\frac{\gamma }{3}-2\right]\right|=4$ and $m,n$ and $r$ are the number of integral values of $\alpha ,\beta$ and $\gamma$ respectively which satisfy the above equation.
The value of $\underset{x\to 0}{\lim }\sum _{i=1}^r\left[\frac{\sin \left({\gamma }_i\cdot x\right)}{x}\right]$ is equal to (where ${\gamma }_1,{\gamma }_2,\dots ..{\gamma }_t$ are the values of $\gamma$ )

• A. 17
• B. 18
• C. 19
• D. 21

Answer 1

Answer: (B)

Correct answer is (b) 18