GMAT Practice Questions -2

1. If n is an integer, which of the following CANNOT be an integer?
   
   
   1. $\frac{n+2}{2}$
   2. $\sqrt{n+1} $
   3. $\frac{3}{n+2} $
   4. $\sqrt{n^{2}+5} $
   5. $\sqrt{\frac{1}{n^{2}+3}} $
   
   
2. If n is an integer, which one of the following is an odd integer?
   
   
   1. $n^{2}$
   2. $\frac{n+3}{2} $
   3. $-2n-8 $
   4. $n^{2}-3 $
   5. $\sqrt{n^{4}+1} $
   
   
3. If $x$, $y$, $z$ and $t$ are positive integers such that $x < y < z < t$ and $x+y+z+t=10$, then what is the value of $t$?
   
   
   
   1. $2$
   
   
   2. $3$
   
   
   3. $4$
   
   
   4. $5$
   
   
   5. $6$
   
   
4. The remainder when the positive integer $m$ is divided by $n$ is r. What is the remainder when $3m$ is divided by $3n$?
   
   
   1. $r$
   2. $3r$
   3. $3n$
   4. $m-3n$
   5. $3(m-nr)$
   
   
5. If $(x-5)(x+4)=(x-4)(x+5)$, then $x=$
   
   
   1. $-5$
   2. $ -4$
   3. $0 $
   4. $4 $
   5. $5 $
   
   
6. If $(3x-1)^{2}=121$, then which one of the following COULD equal x?
   
   
   1. $-4$
   2. $\frac{10}{3}$
   3. $\frac{13}{3} $
   4. $-\frac{10}{3} $
   5. $\frac{17}{3} $
   
   
7. (The average of 5 consecutive integers starting from 17)-(The average of 6 consecutive integers starting from 17)=
   
   
   1. $-\frac{1}{8}$
   2. $-\frac{1}{2}$
   3. $0$
   4. $\frac{1}{8}$
   5. $\frac{1}{2}$
   
   
8. If $n^{3}+n^{2}-n-2=-1$, then which one of the following could be the value of $n$
   
   
   1. $0$
   2. $1 $
   3. $2 $
   4. $3 $
   5. $4 $
   
   
9. Solve the the system of equations given?
   $x+3y=8$
   $x+2y=5$
   
   
   1. $-1,4$
   2. $1,3$
   3. $2,3$
   4. $1,-3$
   5. $-1,3$
   
   
10. If $(a-b)(a+b)=7 \times 3$ then $a$ and $b$ equals respectively?
    
    
    1. $-5,-2$
    2. $5,3 $
    3. $7,2 $
    4. $9,2 $
    5. $-3,-10 $