Question 71

The value of $$\left[\frac{2}{3}\div\frac{8}{15}of\frac{2}{5}+\frac{2}{5}of7\frac{1}{2}\div\frac{3}{4}\right]of\frac{4}{19}$$ is:

Solution

Expression = $$\left[\frac{2}{3}\div\frac{8}{15}of\frac{2}{5}+\frac{2}{5}of7\frac{1}{2}\div\frac{3}{4}\right]of\frac{4}{19}$$

= $$\left[(\frac{2}{3}\times\frac{75}{16})+(\frac{2}{5}\times\frac{15}{2}\times\frac{4}{3})\right]\times\frac{4}{19}$$

= $$(\frac{25}{8}+4)\times\frac{4}{19}$$

= $$\frac{57}{8}\times\frac{4}{19}$$

= $$\frac{3}{2}=1\frac{1}{2}$$

=> Ans - (C)

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