• A. $x=1,y=-1$
• B. $x=1,y=1$
• C. $x=-1,y=-1$
• D. $x=-1,y=1$

Answer: Option D

Explanation:

• A. $x^7-1$
• B. $x^7-1$
• C. $x^6-1$
• D. $x^5-1$

Answer: Option C

Explanation:

• A. 334
• B. 354
• C. 364
• D. 512

Answer: Option C

Explanation:

• A. $xy$
• B. $x+y$
• C. $xy\left(x+y\right)$
• D. $x^{2}y\left(x+y\right)$

Answer: Option D

Explanation:

• A. $4$
• B. $9$
• C. $16$
• D. $25$

Answer: Option D

Explanation:

• A. $x+y+1$
• B. $x-y$
• C. $x+y-1$
• D. $x-y-1$

Answer: Option C

Explanation:

• A. $\left(1+a-b\right)\left(1-a+b\right)$
• B. $\left(1+a+b\right)\left(1-a+b\right)$
• C. $\left(1+a+b\right)\left(1-a-b\right)$
• D. $\left(1-a+b\right)\left(1-a-b\right)$

Answer: Option A

Explanation:

• A. $\sqrt{3}+\sqrt{2}$
• B. $3-\sqrt{2}$
• C. $\sqrt{3}-\sqrt{2}$
• D. $\sqrt{3}+2$

Answer: Option C

Explanation:

• A. $4$
• B. $3$
• C. $2$
• D. $1$

Answer: Option D

Explanation:

• A. 12
• B. 48
• C. 36
• D. 144

Answer: Option D

Explanation:

• A. $30$
• B. $60$
• C. $225$
• D. $150$

Answer: Option C

Explanation:

• A. $\sqrt{2}$
• B. $\frac{1}{2\left(\sqrt{5}-\sqrt{3}\right)}$
• C. $\frac{1}{\sqrt{5}}+\frac{1}{\sqrt{3}}$
• D. $\frac{2}{\sqrt{3}+\sqrt{5}}$

Answer: Option D

Explanation:

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

Answer: Option C

Explanation:

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

Answer: Option C

Explanation:

• A. $0$
• B. $p+q$
• C. $q+r$
• D. $1$

Answer: Option D

Explanation: