1. A
   $\dfrac{n-5}{6}$
2. B
   $\dfrac{n-4}{5}$
3. C
   $\dfrac{5}{n-4}$
4. D
   $\dfrac{6}{n-5}$

Tap an option to check your answer.

1. A
   $\pm 1$
2. B
   $\pm 2$
3. C
   $\pm 3$
4. D
   $\pm 5$

Tap an option to check your answer.

1. A
   $\det(B)$
2. B
   $\det(A)$
3. C
   $\det(B^{-1})$
4. D
   $\det(A^{-1})$

Tap an option to check your answer.

1. A
   $a$
2. B
   $b$
3. C
   $c$
4. D
   $0$

Tap an option to check your answer.

1. A
   Null matrix
2. B
   Identity matrix
3. C
   $A$
4. D
   $-A$

Tap an option to check your answer.

1. A
   have the unique solution
2. B
   have infinitely many solutions
3. C
   are inconsistent
4. D
   None of the above

Tap an option to check your answer.

1. A
   $\begin{pmatrix}4&8\\-4&-16\end{pmatrix}$
2. B
   $\begin{pmatrix}4&-4\\8&-16\end{pmatrix}$
3. C
   $\begin{pmatrix}-4&-8\\4&12\end{pmatrix}$
4. D
   $\begin{pmatrix}-4&-8\\8&12\end{pmatrix}$

Tap an option to check your answer.

1. A
   $1+x+y+z$
2. B
   $2xyz$
3. C
   $x^2y^2z^2$
4. D
   $2x^2y^2z^2$

Tap an option to check your answer.

1. A
   $\dfrac{x}{y}$ is one of the cube roots of unity
2. B
   $x$ is one of the cube roots of unity
3. C
   $y$ is one of the cube roots of unity
4. D
   $\dfrac{x}{y}$ is one of the cube roots of $-1$

Tap an option to check your answer.

1. A
   $C$ is empty
2. B
   $B$ has as many elements as $C$
3. C
   $A = B \cup C$
4. D
   $B$ has thrice as many elements as $C$

Tap an option to check your answer.

1. A
   $\begin{pmatrix}\cos3\theta & \sin3\theta \\ -\sin3\theta & \cos3\theta\end{pmatrix}$
2. B
   $\begin{pmatrix}\cos^3\theta & \sin^3\theta \\ -\sin^3\theta & \cos^3\theta\end{pmatrix}$
3. C
   $\begin{pmatrix}\cos3\theta & -\sin3\theta \\ \sin3\theta & \cos3\theta\end{pmatrix}$
4. D
   $\begin{pmatrix}\cos^3\theta & -\sin^3\theta \\ \sin^3\theta & \cos^3\theta\end{pmatrix}$

Tap an option to check your answer.

1. A
   $3\times1$
2. B
   $1\times1$
3. C
   $1\times3$
4. D
   $3\times3$

Tap an option to check your answer.

1. A
   $\begin{pmatrix}1&0\\0&1\end{pmatrix}$
2. B
   $\begin{pmatrix}1&1\\0&0\end{pmatrix}$
3. C
   $\begin{pmatrix}0&0\\1&1\end{pmatrix}$
4. D
   $\begin{pmatrix}0&1\\1&0\end{pmatrix}$

Tap an option to check your answer.

1. A
   $\dfrac{1}{\sqrt{10}}$
2. B
   $-\sqrt{\dfrac{3}{10}}$
3. C
   $\dfrac{\sqrt{3}}{\sqrt{10}}$
4. D
   None of the above

Tap an option to check your answer.

1. A
   0
2. B
   1
3. C
   2
4. D
   4

Tap an option to check your answer.

1. A
   120 m
2. B
   180 m
3. C
   240 m
4. D
   360 m

Tap an option to check your answer.

1. A
   $\dfrac{\pi}{12}$
2. B
   $\dfrac{\pi}{6}$
3. C
   $\dfrac{\pi}{3}$
4. D
   $\dfrac{\pi}{2}$

Tap an option to check your answer.

1. A
   $\dfrac{1}{2}$
2. B
   $\dfrac{1}{4}$
3. C
   $\dfrac{1}{8}$
4. D
   $\dfrac{1}{16}$

Tap an option to check your answer.

1. A
   $\tan\!\left(\dfrac{\alpha+\beta}{2}\right)$
2. B
   $\cot\!\left(\dfrac{\alpha+\beta}{2}\right)$
3. C
   $\sin\!\left(\dfrac{\alpha+\beta}{2}\right)$
4. D
   $\cos\!\left(\dfrac{\alpha+\beta}{2}\right)$

Tap an option to check your answer.

1. A
   $-1$
2. B
   $0$
3. C
   $1$
4. D
   $2$

Tap an option to check your answer.

1. A
   $\dfrac{\sqrt{5}-1}{\sqrt{10+2\sqrt{5}}}$
2. B
   $\dfrac{\sqrt{5}-1}{\sqrt{10+\sqrt{5}}}$
3. C
   $\dfrac{\sqrt{10+2\sqrt{5}}}{\sqrt{5}-1}$
4. D
   $\dfrac{\sqrt{10+\sqrt{5}}}{\sqrt{5}-1}$

Tap an option to check your answer.

1. A
   $x=y=z$
2. B
   $xz=1$
3. C
   $x\neq y$ and $y=z$
4. D
   $x=y$ and $y\neq z$

Tap an option to check your answer.

1. A
   $-3$
2. B
   $-2$
3. C
   $-\dfrac{1}{3}$
4. D
   $1$

Tap an option to check your answer.

1. A
   1 and 3
2. B
   1 and 2
3. C
   1 and 4
4. D
   2 and 3

Tap an option to check your answer.

1. A
   $-2$ only
2. B
   $\dfrac{1}{2}$ only
3. C
   Both $-2$ and $\dfrac{1}{2}$
4. D
   Neither $\dfrac{1}{2}$ nor $-2$

Tap an option to check your answer.