______ is the duplicate ratio of $5 : 7$

25 : 49

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35 : 7

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\sqrt{5} : \sqrt{7}

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125 : 343

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Solution

The correct option is B $25 : 49$
The duplicate ratio of $a : b$ is $a^{2} : b^{2}$ .
$∴$ The duplicate ratio of $5 : 7$ is $5^{2} : 7^{2} = 25 : 49$

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5, 7, 25, 49, 125, . . . . .

The ratio compounded of the duplicate ratio of 8 : 7, the sub-duplicate of 9:64 and the reciprocal of 24 : 49 is

\frac{A B}{D E} = \frac{B C}{E F} = \frac{A C}{D F} = \frac{5}{7},

x + 7; 2 (x + 14)

5 : 8

x

Find the ratio compounded of the duplicate ratio of 5 : 6, the reciprocal ratio of 25 : 42 and the sub-triplicate ratio of 216 : 343.

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