In the following question, two statements (i) and (ii) are given. Choose the valid statement. i. The duplicate ratio of sqrt2 : sqrt3 is 2 : 3 ii. 7 : 8 4 : 5

Question

In the following question, two statements (i) and (ii) are given. Choose the valid statement. i. The duplicate ratio of sqrt2 : sqrt3 is 2 : 3 ii. 7 : 8 > 4 : 5

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Both (i) and (ii) Explanation: i. (sqrt(2^2)) : (sqrt(3^2)) 2 : 3 Therefore, statement (i) is valid. ii. $\frac{7}{8}$ > $\frac{4}{5}$ $\Rightarrow$ `(7 xx 5)/(8 xx 5) > (4 xx 8)/(5 xx 8) $\Rightarrow$ $\frac{35}{40}$ > $\frac{32}{40}$` Therefore, statement (ii) is valid.

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