GRE Practice Questions - 8 & Answer Key

1. Which of the following is equivalent to $5^{9}$
   
   
   1. $5^{4}+5^{4}+5^{1}$
   2. $5^{2} \times 5^{4} \times 5^{3}$
   3. $\frac{10^{9}}{2^{10}}$
   4. $(5^{4})^{5}$
   5. $\frac{5^{5}}{5^{4}}$
   
   
2. Which of the following is equivalent to $\sqrt{289}$
   
   
   1. $14$
   2. $15$
   3. $16$
   4. $17$
   5. $18$
   
   
3. Which of the following is a perfect square?
   
   
   1. $120$
   2. $121$
   3. $122$
   4. $123$
   5. $124$
   
   
4. Which of the following is equivalent to $3\sqrt{10}$
   
   
   1. $3\sqrt{5} \times \sqrt{5}$
   2. $\sqrt{90}$
   3. $3\sqrt{5} + 3\sqrt{2}$
   4. $3\sqrt{5}+3\sqrt{5}$
   5. $\frac{3\sqrt{2}}{\sqrt{5}}$
   
   
5. Which of the following is equivalent to $10^{\frac{2}{5}}$
   
   
   1. $\sqrt[5]{5}$
   2. $\sqrt[5]{10}$
   3. $\sqrt[5]{20}$
   4. $\sqrt[5]{100}$
   5. $\sqrt[5]{1000}$
   
   
6. Which of the following fractions is equivalent to $\frac{3}{6} \times \frac{2}{5}$?
   
   
   1. $\frac{6}{30}$
   2. $\frac{5}{30}$
   3. $\frac{5}{11}$
   4. $\frac{15}{12}$
   5. $\frac{9}{30}$
   
   
7. Which of the following expressions is equivalent to $\frac{7}{6} \div \frac{5}{2}$?
   
   
   1. $\frac{7}{30}+\frac{2}{30}$
   2. $\frac{9}{6}+\frac{9}{5}$
   3. $\frac{7}{8}+\frac{5}{8}$
   4. $\frac{7}{6}+\frac{2}{5}$
   5. $\frac{1}{7}+\frac{2}{35}$
   
   
8. If $3^{x}=729$, what is $x^{3}$?
   
   
9. What is the value of $||4|-|-7||$
   
   
   1. $-11$
   2. $-3$
   3. $0$
   4. $3$
   5. $11$
   
   
10. What is the value of $(\sqrt{3}+\sqrt{5})^{2}-(\sqrt{8})^{2}$
    
    
    1. $2\sqrt{15}$
    2. $\sqrt{15}$
    3. $0$
    4. $15$
    5. $30$
    
    

    Answer Key

    1	B
    2	D
    3	B
    4	B
    5	D
    6	A
    7	E
    8	125
    9	D
    10	A