Which of the following statement(s) is/are **TRUE**? I. \frac{3}{71} < \frac{5}{91} < \frac{7}{99} II. \frac{11}{135} > \frac{12}{157} > \frac{13}{181}

Question 6

Which of the following statement(s) is/are TRUE?
I. $$\frac{3}{71} < \frac{5}{91} < \frac{7}{99}$$
II. $$\frac{11}{135} > \frac{12}{157} > \frac{13}{181}$$

Solution

Statement I :

$$\frac{7}{99}=0.0707\ ,\ \frac{5}{91}=0.0549,\ \frac{3}{71}=0.0422\ .$$

So, I is correct .

Statement II :

$$\frac{11}{135}=0.0814\ ,\ \frac{12}{157}=0.0764,\ \frac{13}{181}=0.0718\ ..$$

So, II is also correct .

C is correct choice.

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