Which of the following statement(s) is/are TR | vedclass

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(A) To evaluate the statements,we approximate the values:For $I$: $\frac{2}{3 \sqrt{5}} \approx \frac{2}{3 	imes 2.236} = \frac{2}{6.708} \approx 0.2

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Only $I$

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(A) To evaluate the statements,we approximate the values:For $I$: $\frac{2}{3 \sqrt{5}} \approx \frac{2}{3 	imes 2.236} = \frac{2}{6.708} \approx 0.298$$\frac{3}{2 \sqrt{5}} \approx \frac{3}{2 	imes 2.236} = \frac{3}{4.472} \approx 0.671$$\frac{5}{4 \sqrt{3}} \approx \frac{5}{4 	imes 1.732} = \frac{5}{6.928} \approx 0.722$Since $0.298 For $II$: $\frac{3}{2 \sqrt{5}} \approx 0.671$$\frac{2}{3 \sqrt{3}} \approx \frac{2}{3 	imes 1.732} = \frac{2}{5.196} \approx 0.385$$\frac{7}{4 \sqrt{5}} \approx \frac{7}{4 	imes 2.236} = \frac{7}{8.944} \approx 0.783$Since $0.671$ is not less than $0.385$,statement $II$ is $FALSE$.Therefore,only statement $I$ is true.

Which of the following statement$(s)$ is/are $TRUE$?
$I.$ $\frac{2}{3 \sqrt{5}} < \frac{3}{2 \sqrt{5}} < \frac{5}{4 \sqrt{3}}$
$II.$ $\frac{3}{2 \sqrt{5}} < \frac{2}{3 \sqrt{3}} < \frac{7}{4 \sqrt{5}}$

Similar Questions

$A$ sum of $Rs. 1360$ has been divided among $A, B$ and $C$ such that $A$ gets $\frac{2}{3}$ of what $B$ gets and $B$ gets $\frac{1}{4}$ of what $C$ gets. $B$'s share is (in $Rs.$)

$1 \frac{3}{4} + 5 \frac{1}{3} + 3 \frac{2}{5} = ?$

When $\left(\frac{1}{2}-\frac{1}{4}+\frac{1}{5}-\frac{1}{6}\right)$ is divided by $\left(\frac{2}{5}-\frac{5}{9}+\frac{3}{5}-\frac{7}{18}\right),$ the result is:

Which of the following statement$(s)$ is/are $TRUE$?
$I.$ $\sqrt{144} \times \sqrt{36} \times \sqrt[3]{125} \times \sqrt{121} = 3960$
$II.$ $\sqrt{324} + \sqrt{49} < \sqrt[3]{216} \times \sqrt{9}$

$\frac{0.009}{?} = 0.01$

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Which of the following statement$(s)$ is/are $TRUE$?$I.$ $\frac{2}{3 \sqrt{5}} < \frac{3}{2 \sqrt{5}} < \frac{5}{4 \sqrt{3}}$$II.$ $\frac{3}{2 \sqrt{5}} < \frac{2}{3 \sqrt{3}} < \frac{7}{4 \sqrt{5}}$