GRE Practice Questions -2

1. $4x+3=-1$, then $x-1=$
   
   
   1. $2$
   2. $1$
   3. $0$
   4. $-1$
   5. $-2$
   
   
2. $\frac{7}{\frac{1}{6}+1}$
   
   
   1. $-6$
   2. $7$
   3. $\frac{1}{6}$
   4. $\frac{1}{6}$
   5. $6$
   
   
3. $32^{17}=2^{3a+4}$, then $a=$
   
   
   1. $3$
   2. $9$
   3. $27$
   4. $81$
   5. $243$
   
   
4. $a=5b$, $b^{2}=3c$ and $5c=d$, then $\frac{a^{2}}{d}=$
   
   
   1. $15$
   2. $\frac{3}{5}$
   3. $\frac{15}{3}$
   4. $9$
   5. $\frac{1}{5}$
   
   
5. $(x-3)(x+2)=(x+4)(x-5)$
   
   
   1. $7$
   2. $14$
   3. $-7$
   4. $3$
   5. There is no solution
   
   
6. $\frac{1}{2}$ of $0.02$ percent equals
   
   
   1. $1$
   2. $0.1$
   3. $0.01$
   4. $0.001$
   5. $0.0001$
   
   
7. If the average of $2x$, $3x$ and $5x$ is 3, then $x=$
   
   
   1. $\frac{10}{9}$
   2. $9$
   3. $10$
   4. $\frac{9}{10}$
   5. $-\frac{9}{10}$
   
   
8. $-2^{5}-(1-x^{2})^{2}$
   
   
   1. $-x^{4}+2x^{2}+31$
   2. $-x^{4}+2x^{2}-31$
   3. $-x^{4}+2x^{2}+33$
   4. $-x^{4}-2x^{2}+33$
   5. $-x^{4}+2x^{2}-33$
   
   
9. A truckmaker sells six models of cars, and each model comes with 7 options.
   How many different types of trucks does the truckmaker sell?
   
   
   1. $20$
   2. $25$
   3. $32$
   4. $42$
   5. $52$
   
   
10. If $a$, $b$, and $c$ are consecutive integers and $a < b < c$, which of the following must be true?
    
    
    
    1. $b^{3}$ is a prime number
    
    
    2. $\frac{a+c}{2}=b$
    
    
    3. $\frac{c-a}{2}=1$ is odd
    
    
    4. $\frac{ab}{3}$
    
    
    5. $c-a=b$