Question : If $a: b: c=\frac{1}{4}: \frac{1}{3}: \frac{1}{2}$, then $\frac{a}{b}: \frac{b}{c}: \frac{c}{a}=$?

Option 1: 12 : 9 : 8

Option 2: 9 : 8 : 24

Option 3: 8 : 9 : 24

Option 4: 9 : 12 : 8

Question : What is the value of S $=\frac{1}{1×3×5}+\frac{1}{1×4}+\frac{1}{3×5×7}+\frac{1}{4×7}+\frac{1}{5×7×9}+\frac{1}{7×10}+....$ Up to 20 terms, then what is the value of S?

Option 1: $\frac{6179}{15275}$

Option 2: $\frac{6070}{14973}$

Option 3: $\frac{7191}{15174}$

Option 4: $\frac{5183}{16423}$

Question : If $\frac{(a+b)}{c}=\frac{6}{5}$ and $\frac{(b+c)}{a}=\frac{9}{2}$, then what is the value of $\frac{(a+c)}{b}\; ?$

Option 1: $\frac{9}{5}$

Option 2: $\frac{11}{7}$

Option 3: $\frac{7}{11}$

Option 4: $\frac{7}{4}$

Question : The value of $15 \div 8-\frac{5}{4}$ of $\left(\frac{8}{3} \times \frac{9}{16}\right)+\left(\frac{9}{8} \times \frac{3}{4}\right)-\left(\frac{5}{32} \div \frac{5}{7}\right)+\frac{3}{8}$ is:

Option 1: 0

Option 2: 1

Option 3: 2

Option 4: 3

Question : The value of $4 \div 12$ of $[3 \div 4$ of $\{(4-2) \times 6 \div 2\}]-2 \times 6 \div 8+3$ is:

Option 1: $4 \frac{1}{6}$

Option 2: $3 \frac{1}{3}$

Option 3: $2 \frac{1}{3}$

Option 4: $7 \frac{1}{6}$