GRE Practice Questions -1

1. If $5x+7=11$, then $5x-4=0$
   
   
   1. $11$
   2. $7$
   3. $5$
   4. $1$
   5. $0$
   
   
2. The smallest prime number greter than 50 is
   
   
   1. $51$
   2. $52$
   3. $53$
   4. $54$
   5. $55$
   
   
3. $\frac{6}{\frac{1}{5}+1}$
   
   
   1. $1$
   2. $\frac{1}{5}$
   3. $\frac{1}{6}$
   4. $5$
   5. $6$
   
   
4. $\sqrt{(120-39)(68+13)}$
   
   
   1. $2$
   2. $20$
   3. $40$
   4. $80$
   5. $81$
   
   
5. $(9^{y})^{3}$
   
   
   1. $9^{y+3}$
   2. $9^{6y}$
   3. $3^{3y^{2}}$
   4. $9^{y^{3}}$
   5. $3^{6y}$




6. $27^{13}=3^{a}$, then $a=$
   
   
   1. $39$
   2. $29$
   3. $19$
   4. $13$
   5. $9$




7. $x-y=h$, then $5x^{2}-10xy+5y^{2}=$
   
   
   1. $5h^{2}$
   2. $10h$
   3. $h^{2}$
   4. $5h$
   5. $10h^{2}$




8. $27x^{2}-12$
   
   
   1. $3(3x-2)(3x+2)$
   2. $3(9x-2)(9x+2)$
   3. $9(3x-2)(3x+2)$
   4. $3(3x-2)(9x+2)$
   5. $(9x-2)(9x+2)$
   
   
9. If the average of $3x$ and $9x$ is 6, then $x=$
   
   
   1. $20$
   2. $19$
   3. $9$
   4. $3$
   5. $1$
   
   
10. What percent of $5x$ is $10y$ if $x=2y$?
    
    
    1. $20 \%$
    2. $30 \%$
    3. $40 \%$
    4. $45 \%$
    5. $50 \%$