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 : 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 : The value of $3 \frac{1}{5} \div 4 \frac{1}{2}$ of $5 \frac{1}{3}+\frac{1}{8} \div \frac{1}{2}$ of $\frac{1}{4}-\frac{1}{4}\left(\frac{1}{2} \div \frac{1}{8} \times \frac{1}{4}\right)$ is:

Option 1: $\frac{13}{15}$

Option 2: $\frac{7}{8}$

Option 3: $\frac{3}{4}$

Option 4: $\frac{53}{60}$

Question : A person can hit a target 5 times out of 8 shots. If he fires 10 shots, what is the probability that he will hit the target twice?

Option 1: $\frac{1135 \times 3^8}{8^{10}}$

Option 2: $\frac{1165 \times 3^8}{8^{10}}$

Option 3: $\frac{1175 \times 3^8}{8^{10}}$

Option 4: $\frac{1125 \times 3^8}{8^{10}}$

Question : Find the fraction which bears the same ratio to $\frac{1}{27}$ that $\frac{3}{7}$ does to $\frac{5}{9}$.

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

Option 2: $\frac{1}{35}$

Option 3: $\frac{45}{7}$

Option 4: $\frac{7}{45}$