GMAT Practice Questions -1

1. If $C=\frac{7r}{3s}$ and $s \ne 0$, what is the value of C?
   
   
   1. $r=6s$
   2. $r=\frac{3}{7}$
   
   
2. If $7a=5b$ and $ab \ne 0$, what is the ratio of $\frac{a}{5}$ to $\frac{b}{7}$
   
   
   1. $\frac{49}{25}$
   2. $\frac{7}{5}$
   3. $\frac{5}{7}$
   4. $1$
   5. $\frac{25}{49}$
   
   
3. If the diameter of a circle is $18$, then the area of the circle is
   
   
   1. $9 \pi$
   2. $18 \pi$
   3. $36 \pi$
   4. $81 \pi$
   5. $324 \pi$
   
   
4. For any numbers $a$ and $b$, $a*b=ab(5-b)$. If $a$ and $a*b$ both represent positive numbers, which of the following could be a value of $b$?
   
   
   1. $-7$
   2. $-1$
   3. $3$
   4. $6$
   5. $9$
   
   
5. $\sqrt{7^{2}+5^{2}-10}$
   
   
   1. $4\sqrt{2}$
   2. $6$
   3. $8$
   4. $10$
   5. $\sqrt{117}$
   
   
6. What is the perimeter of a square with area $\frac{7p}{4}$?
   
   
   1. $\frac{7p}{4}$
   2. $\frac{7p^{2}}{4}$
   3. $7p$
   4. $7p^{2}$
   5. $\frac{4p}{7}$
   
   
7. $\sqrt{169}+\sqrt{256}+\sqrt{361}=$
   
   
   1. $19$
   2. $29$
   3. $36$
   4. $46$
   5. $48$
   
   
8. If $45$ percent of $500$ is $50$ percent of x, then $x=$
   
   
   1. $350$
   2. $400$
   3. $450$
   4. $600$
   5. $1,200$
   
   
9. $(5^{3}-1)(5^{3}+1)(5^{6}+1)(5^{12}+1)$
   
   
   1. $(5^{24}-1)$
   2. $(5^{24}+1)$
   3. $(5^{48}-1)$
   4. $(5^{96}+1)$
   5. $5^{3}(5^{24}-1)$
   
   
10. How many minutes does it take to travel $160$ miles at $200$ miles per hour?
    
    
    1. $13$
    2. $16$
    3. $45$
    4. $48$
    5. $52$