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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License. math exams: GRE Practice Questions - 6 & Answer Key

Monday, August 1, 2011

GRE Practice Questions - 6 & Answer Key

  1. If $ 0.10 < x < 0.12$, which of the following could be a value of $x$?

    1. $9 \%$
    2. $10 \% $
    3. $11 \% $
    4. $12 \% $
    5. $13 \% $

  2. If $\frac{xyz}{t}=w$ and $x$ and $t$ are doubled, what happens to the value of w



    1. The value of $w$ is two times smaller.
    2. The value of $w$ is halved.
    3. The value of $w$ is four times greater.
    4. The value of $w$ is doubled
    5. The value of $w$ remains the same.

  3. What is the tenth term of the pattern below?
    $\frac{3}{2}$, $\frac{9}{4}$, $\frac{27}{8}$, $\frac{81}{16}$,...

    1. $\frac{3}{2^{10}}$
    2. $\frac{30}{20}$
    3. $(\frac{3}{2})^{10}$
    4. $\frac{3^{10}}{2}$
    5. $\frac{300}{200}$

  4. If $a > 0$ and $b < 0$, which of the following is always negative?

    1. $-ab$
    2. $a+b$
    3. $|a|-|b|$
    4. $\frac{a}{b}$
    5. $b^{a}$

  5. Which of the following number pairs is in the ratio $3:7$?

    1. $\frac{1}{3}$,$\frac{1}{7}$
    2. $\frac{1}{7}$,$\frac{1}{3}$
    3. $\frac{1}{7}$,$\frac{3}{7}$
    4. $7$,$\frac{1}{3}$
    5. $1$,$\frac{1}{7}$

  6. If $x=-\frac{1}{4}$, then $(-x)^{-3}+(\frac{1}{x})^{2}=$

    1. $-80$
    2. $-64$
    3. $16 $
    4. $64$
    5. $80$

  7. For which of the following values of $x$ is the relationship $x < x^{2} < x^{3}$ true?

    1. $-3$
    2. $-\frac{2}{3}$
    3. $0$
    4. $\frac{2}{3} $
    5. $3$

  8. $x^{2}+2xy+y^{2}=169$, $-|-(x+y)|=$

  9. How many distincts factors does 900 have?

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

  10. If $x=-\frac{1}{7}$, then which of the following is always positive for $n > 0$?

    1. $x^{n}$
    2. $n^{x}$
    3. $nx$
    4. $n-x$
    5. $\frac{x}{n} $


    Answer Key
    1 C
    2 E
    3 C
    4 D
    5 B
    6 E
    7 3
    8 -13
    9 A
    10 B

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