Which of the following statement(s) is/are **TRUE**? I. \frac{3}{110}<\frac{9}{308}<\frac{7}{225} II. 99\frac{1}{7}+99\frac{2}{7}+99\frac{3}{7}......99\frac{6}{7} = 297

Question 6

Which of the following statement(s) is/are TRUE?

I. $$\frac{3}{110}<\frac{9}{308}<\frac{7}{225}$$

II. $$99\frac{1}{7}+99\frac{2}{7}+99\frac{3}{7}......99\frac{6}{7} = 297$$

Solution

$$\frac{7}{225}=0.3111,\ \frac{9}{308}=0.2922,\ \frac{3}{110}=0.2727\ .$$

So, I is correct .

$$99\frac{1}{7}+99\frac{2}{7}+...+99\frac{6}{7}=99\left(\frac{1+2+3+4+5+6}{7}\right)=99\times3=297\ .$$

So, II is also correct .

D is correct choice.

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