GRE Practice Questions - 4 & Answer Key

1. If $3x+7=5x+1$
   
   
   1. $2.5$
   2. $3.5 $
   3. $4 $
   4. $3 $
   5. $ 4.5$
   
   
2. What is the next term in the sequence: 6, 3, 10, 7, 14, 11, ...?
   
   
   1. $19$
   2. $15 $
   3. $6 $
   4. $ 17$
   5. $ 18$
   
   
3. The area of the basis of Cylinder A is 8 times the area of the basis of Cylinder B. What is the radius of Cylinder A in terms of the radius of Cylinder B?
   
   
   1. $r_{A}=\frac{r_{B}}{8}$
   2. $r_{A}=8r_{B} $
   3. $r_{A}=4r_{B} $
   4. $r_{A}=2\sqrt{2}r_{B} $
   5. $r_{A}=\frac{r_{B}}{4} $
   
   
4. If $x^{2}-2xy+y^{2}=121$, $x-y=$
   
   
   1. $10$
   2. $11 $
   3. $12 $
   4. $13 $
   5. $14 $
   
   
5. If c is equal to the sum b and twice of a, which of the following is the average of b and c?
   
   
   1. $a$
   2. $b $
   3. $c $
   4. $a+b $
   5. $b+c $
   
   
6. $f(x)=4x+8$, $f(c+3)=8$, $f(c)=$
   
   
   1. $-8$
   2. $0$
   3. $3$
   4. $-3$
   5. $8$
   
   
7. $5^{n}.125^{m}=78,125$, $n+3m=$
   
   
   1. $5$
   2. $ 6$
   3. $ 7$
   4. $ 8$
   5. $ 9$
   
   
8. $\frac{3b^{2}}{a^{3}}=27a^{2}$
   
   
   1. $3a^{3}$
   2. $9a^{3} $
   3. $\frac{1}{9a^{3}} $
   4. $\frac{1}{a^{3}} $
   5. $\frac{1}{3a^{3}} $
   
   
9. Which of the following statements must be true about the x and y coordinates that satisfy the equation $ay-ax=0$, $a \ne 0$, $x \ne 0$ ,$y \ne 0$
   
   
   1. $x>y$
   2. $xy=1 $
   3. $x=-y $
   4. $y>x $
   5. $x=y $
   
   
10. What is the length of the side of a cube whose volume is 125 cubic units?
    
    
    1. $4$
    2. $ 5$
    3. $ 6$
    4. $ 7$
    5. $ 4.5$

    Answer Key

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