GMAT Practice Questions -5

1. If $x \ne 3$, then $\frac{3x^{2}+18x+27}{(x+3)^{2}}$
   
   
   1. $1$
   2. $3 $
   3. $ 9$
   4. $ 27$
   5. $81 $
   
   
2. If $\frac{x+5}{x-5}=y$, what is the value of $x$ in terms of $y$?
   
   
   1. $-5-y$
   2. $\frac{5}{y} $
   3. $\sqrt{y^{2}+5} $
   4. $\frac{-5y-5}{1-y} $
   5. $\frac{-5y+5}{1-y} $
   
   
3. $\frac{1-\frac{1}{3}}{2}$
   
   
   1. $3$
   2. $\frac{2}{3} $
   3. $\frac{3}{2} $
   4. $\frac{1}{3} $
   5. $\frac{1}{5} $
   
   
4. $\frac{\frac{1}{x}}{\frac{1}{y}-z}$
   
   
   1. $\frac{xy}{y-xyz}$
   2. $\frac{1}{xy-xyz} $
   3. $\frac{y}{xyz+x} $
   4. $\frac{y}{x-xyz} $
   5. $\frac{x-xyz}{y} $
   
   
5. The average of $x$, $\frac{1}{x}$ and $\frac{1}{x^{2}}$ is
   
   
   1. $\frac{1+x^{2}}{3x}$
   2. $\frac{1+x^{2}+x^{3}}{3x^{2}} $
   3. $ \frac{1+x+x^{2}}{3x^{2}}$
   4. $\frac{1-x+x^{2}}{3x} $
   5. $\frac{1+x^{2}+x^{3}}{3} $
   
   
6. $\frac{1}{5}$ of $.01$ percent equals :
   
   
   1. $.00002$
   2. $.0002 $
   3. $.002 $
   4. $.02 $
   5. $.2 $
   
   
7. $\frac{2^{a+1}-2^{a-1}}{2^{a+1}+2^{a-1}}$
   
   
   1. $\frac{1}{4}$
   2. $\frac{3}{5} $
   3. $2 $
   4. $\frac{1}{2} $
   5. $\frac{5}{3} $
   
   
8. If $x$ is $\frac{50}{51}$ of $\frac{51}{52}$ and $y=\frac{50}{51}$, then $\frac{x}{y}=$
   
   
   1. $\frac{50}{51}$
   2. $\frac{50}{52} $
   3. $\frac{51}{52} $
   4. $\frac{2550}{2500}$
   5. $\frac{2601}{2704}$
   
   
9. The decimal $.01$ is how many times greater than the decimal $(.0001)^{4}$
   
   
   1. $10^{6}$
   2. $10^{8} $
   3. $10^{10} $
   4. $10^{12} $
   5. $10^{14} $
   
   
10. Let $a=.79$, $b=\sqrt{.79}$ and $c=(.79)^{2}$, then which of the following is true?
    
    
    1. $a < b < c$
    
    
    2. $c < b < a$
    
    
    3. $a < b < c$
    
    
    4. $c < a < b$
    
    
    5. $b < a < c$
    
    
    

    Answer Key

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