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