Question 143

Which one of the following is true?

Solution

Option A

$$0>\frac{7}{17}>\frac{3}{7}>\frac{3}{5}$$

$$=$$> $$0>\frac{7}{17}\times\frac{35}{35}\ >\frac{3}{7}\times\frac{85}{85}>\frac{3}{5}\times\frac{119}{119}$$

$$=$$> $$0>\frac{245}{525}\ >\frac{255}{525}>\frac{357}{525}$$

Option B

$$0.5<\frac{2}{3}<\frac{3}{4}<\left(\frac{16}{25}\right)^{0.5}$$

$$=$$> $$\frac{1}{2}<\frac{2}{3}<\frac{3}{4}<\frac{4}{5}$$

$$=$$> $$\frac{30}{60}<\frac{40}{60}<\frac{45}{60}<\frac{48}{60}$$

Option C

$$\frac{7}{24}>\frac{1}{3}>\frac{3}{8}>\frac{5}{12}$$

$$=$$> $$\frac{7}{24}>\frac{8}{24}>\frac{9}{24}>\frac{10}{24}$$

Option D

$$\frac{1}{2}>\frac{2}{3}>\frac{3}{4}>\frac{4}{5}$$

$$=$$> $$\frac{30}{60}>\frac{40}{60}>\frac{45}{60}>\frac{48}{60}$$

Hence, the correct answer is Option B


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