Question : A fraction is greater than its reciprocal by $\frac{9}{20}$. What is the fraction?

Option 1: $\frac{5}{4}$

Option 2: $\frac{4}{5}$

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

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

Question : A fraction is greater than twice its reciprocal by $\frac{7}{15}$. What is the fraction?

Option 1: $\frac{3}{5}$

Option 2: $\frac{5}{3}$

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

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

Question : If $A=\frac{\sqrt{0.0004} \times \sqrt[3]{0.000008}}{\sqrt[4]{16000} \times \sqrt[3]{125000} \times \sqrt[4]{810}}$ and $B=\frac{\sqrt[3]{0.729} \times \sqrt[4]{0.0016}}{\sqrt{0.16}}$, then what is $A \times B$?

Option 1: $6 \times 10^{–7}$

Option 2: $\frac{7}{4} \times 10^{–8}$

Option 3: $5 \times 10^{–8}$

Option 4: $\frac{7}{3} \times 10^{–7}$

Question : The value of $5–\frac{8+2\sqrt{15}}{4}–\frac{1}{8+2\sqrt{15}}$ is equal to:

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

Option 2: $1$

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

Option 4: $\frac{1}{2}$

Question : Directions: By interchanging the given two signs and numbers, which of the following equations will be correct?
+ and ×, 1 and 2

Option 1: 8 × 3 – 4 ÷ 2 + 1 = 7

Option 2: 2 × 3 – 8 ÷ 1 + 9 = 18

Option 3: 8 × 3 – 4 ÷ 2 + 1 = 3

Option 4: 2 × 3 – 8 ÷ 1 + 2 = 5