Question

If [x] stands greatest integer $\le x$ then the value of
$\left|\begin{array}{ccc}\left[e\right]& \left[\pi \right]& [{\pi }^2-6]\\ \left[\pi \right]& [{\pi }^2-6]& \left[e\right]\\ [{\pi }^2-6]& \left[e\right]& \left[\pi \right]\end{array}\right|$ equals to=?

• A. -8
• B. 8
• C. -1
• D. 1

Answer 1

Answer: (A)

-8

$\left[x\right]$Greatest integer

$=\left|\begin{array}{ccc}\left[e\right]& \left[\pi \right]& [{\pi }^2-6]\\ \left[\pi \right]& [{\pi }^2-6]& \left[e\right]\\ [{\pi }^2-6]& \left[e\right]& \left[\pi \right]\end{array}\right|$

$=\left|\begin{array}{ccc}2& 3& 3\\ 3& 3& 2\\ 3& 2& 3\end{array}\right|$

$=2\left(5\right)-3\left(3\right)+3(-3)$

$=-8$