Which of the following statements(s) is/are true? & I. 371 12157 > 13181

Answer: Option C

$$\begin{array}{rl}& \text{I}.\frac{3}{71}<\frac{5}{91}<\frac{7}{99}\\ & \text{For }{\text{1}}^{\text{st}}\text{ 2 terms, }\frac{3}{71}\text{ and }\frac{5}{91}\\ & \text{3}\times 91<5\times 71\left(\text{Using cross product}\right)\\ & \frac{3}{71}<\frac{5}{91}\\ & \text{Now, for }{\text{2}}^{\text{nd}}\text{ and }{\text{3}}^{\text{rd}}\text{ term, }\frac{5}{91}\text{ and }\frac{7}{99}\\ & 5\times 99<7\times 91\left(\text{Using cross product}\right)\\ & \frac{3}{71}<\frac{5}{91}<\frac{7}{99}\\ & \text{Hence, statement I is true}\\ & \text{II}.\frac{11}{135}>\frac{12}{157}>\frac{13}{181}\\ & \text{For }{\text{1}}^{\text{st}}\text{ 2 terms, }\frac{11}{135}\text{ and }\frac{12}{157}\\ & 157\times 11>12\times 135\left(\text{Using cross product}\right)\\ & \frac{11}{135}>\frac{12}{157}\\ & \text{And for }{\text{2}}^{\text{nd}}\text{ and }{\text{3}}^{\text{rd}}\text{ term}\\ & \frac{12}{157}>\frac{13}{181}\\ & 12\times 181>157\times 13\left(\text{Using cross product}\right)\\ & \therefore \frac{11}{135}>\frac{12}{157}>\frac{13}{181}\\ & \text{Hence, statement II is true}\end{array}$$