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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License. math exams: GRE Practice Questions - 7 & Answer Key

Monday, August 1, 2011

GRE Practice Questions - 7 & Answer Key

  1. For how many positive integers, $n$, is true that $n^{2} \leq 3n$

    1. $2$
    2. $3$
    3. $4$
    4. $5$
    5. more than 5

  2. If $a^{4}=16$, then $3^{a}$

    1. $3$
    2. $9$
    3. $16$
    4. $27$
    5. $81$

  3. $\sqrt{20}\sqrt{5}=$

    1. $2\sqrt{5}$
    2. $10$
    3. $4\sqrt{5}$
    4. $5\sqrt{10}$
    5. $10\sqrt{5}$


  4. The sum of three positive consecutive even integers is x.
    What is the value of the middle of the three integers?

    1. $\frac{x}{3}-1$
    2. $\frac{x}{3}+2$
    3. $3x$
    4. $\frac{x-2}{3}$
    5. $\frac{x}{3}$

  5. What is the average of $5^{10}$, $5^{20}$, $5^{30}$, $5^{40}$ and $5^{50}$?

    1. $5^{9}+5^{19}+5^{29}+5^{39}+5^{49}$
    2. $5^{30}$
    3. $5^{149}$
    4. $150$
    5. $5^{29}$

  6. Which of the following is equal to $(5^{6} \times 5^{9})^{10}$?

    1. $25^{150}$
    2. $25^{540}$
    3. $5^{540}$
    4. $5^{150}$
    5. $5^{15}$

  7. What is the value of $3^{\frac{1}{3}} \times 3^{\frac{2}{3}} \times 3^{\frac{3}{3}}$?

    1. $3$
    2. $9$
    3. $27$
    4. $30$
    5. $81$

  8. How many integers satisfy the inequality $|x| < 2 \pi$.


    1. $0$

    2. $3$

    3. $4$

    4. $7$

    5. More than $7$



  9. What is the average of $5^{a} \times 5^{b}=5^{300}$

    1. $50$
    2. $100$
    3. $150$
    4. $200$
    5. $250$

  10. If $5^{a}5^{b}=\frac{5^{c}}{5^{d}}$, what is d in terms of $a$, $b$ and $c$?

    1. $\frac{c}{a+b}$
    2. $c+ab$
    3. $c-a-b$
    4. $c+a-b$
    5. $\frac{b}{ac}$
    Answer Key
    1 B
    2 B
    3 B
    4 E
    5 A
    6 D
    7 B
    8 E
    9 C
    10 C

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