• A. ( p − q , p + q )
• B. ( q − p , p − q )
• C. ( p + q , p − q )
• D. ( p + q , q − p )

Answer: Option D

Explanation:

• A. 15
• B. 17
• C. 19
• D. 21

Answer: Option B

Explanation:

• A. $p^2-4p+5=0$
• B. $p^2+5p-4=0$
• C. $p^2+4p-5=0$
• D. $p^2-5p+4=0$

Answer: Option D

Explanation:

• A. 1
• B. -1
• D. 2

Answer: Option A

Explanation:

• A. $\left(p+q\right)\left(p-q\right)\left(p^2+pq+q^2\right)\left(p^2-pq+q^2\right)$
• B. $\left(p+q\right)\left(p-q\right)\left(p^2-pq+q^2\right)\left(p^2+q^2\right)$
• C. $\left(p+q\right)\left(p-q\right)\left(p^2-pq+q^2\right)\left(p^2-q^2\right)$
• D. $\left(p^2+q^2\right)\left(p^2-q^2\right)$

Answer: Option A

Explanation:

• A. $p^{-mpr}$
• B. $p^{m+n+r}$
• C. $p^{m+n-r}$
• D. $p^{m-n-r}$

Answer: Option C

Explanation:

• A. 1
• B. 2
• C. 3
• D. 4

Answer: Option B

Explanation:

• A. 4
• B. 3
• C. 2
• D. 1

Answer: Option B

Explanation:

• A. $\frac{1}{2}$
• B. $1$
• C. $\frac{3}{2}$
• D. $3$

Answer: Option C

Explanation:

• A. 10
• B. 15
• C. 20
• D. 25

Answer: Option B

Explanation:

• A. 10
• B. 15
• C. 20
• D. 25

Answer: Option B

Explanation:

• A. $\frac{1}{\sqrt{2}}$
• B. $\frac{\sqrt{3}}{2}$
• C. $\frac{1}{2}$
• D. $1$

Answer: Option D

Explanation:

• A. $1$
• B. $-1$
• C. $1/2$
• D. $\frac{1}{\sqrt{2}}$

Answer: Option A

Explanation:

• A. -2
• B. - 2x
• C. π - 2x
• D. 4 - 4x

Answer: Option B

Explanation:

• A. ${\tan }^{-1}\frac{2}{11}$
• B. ${\tan }^{-1}\frac{32}{11}$
• C. ${\tan }^{-1}\frac{11}{2}$
• D. $-{\tan }^{-1}\frac{2}{11}$

Answer: Option C

Explanation: