Find the compounded ratio of $5 : 7, 12 : 8$ and $13 : 6$

65 : 28

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39 : 12

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5 : 8

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6 : 7

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Solution

The correct option is B $65 : 28$
By the defination of compound ratio $5 : 7, 12 : 8$ and $13 : 6$ can be expressed as
$\frac{5}{7} \times \frac{12}{8} \times \frac{13}{6} = \frac{65}{28}$
Hence $65 : 28$

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Similar questions

Verify the following :

(i) $\frac{3}{7} \times (\frac{5}{6} + \frac{12}{13}) = (\frac{3}{7} \times \frac{5}{6}) + (\frac{3}{7} \times \frac{12}{13})$
(ii) $\frac{- 15}{4} \times (\frac{3}{7} + \frac{- 12}{5}) = (\frac{- 15}{4} \times \frac{3}{7}) + (\frac{- 15}{4} \times \frac{- 12}{5})$
(iii) $(\frac{- 8}{3} + \frac{- 13}{12}) \times \frac{5}{6} = (\frac{- 8}{3} \times \frac{5}{6}) + (\frac{- 13}{12} \times \frac{5}{6})$
(iv) $\frac{- 16}{7} \times (\frac{- 8}{9} + \frac{- 7}{6}) = (\frac{- 16}{7} \times \frac{- 8}{9}) + (\frac{- 16}{7} \times \frac{- 7}{6})$

Re-arrange suitably and find the sum in each of the following :

(i) $\frac{11}{12} + \frac{- 17}{3} + \frac{11}{2} + \frac{- 25}{2}$

(ii) $\frac{- 6}{7} + \frac{- 5}{6} + \frac{- 4}{9} + \frac{- 15}{7}$

(iii) $\frac{3}{5} + \frac{7}{3} + \frac{9}{5} + \frac{- 13}{15} + \frac{- 7}{3}$

(iv) $\frac{4}{13} + \frac{- 5}{8} + \frac{- 8}{13} + \frac{9}{13}$

(v) $\frac{2}{3} + \frac{- 4}{5} + \frac{1}{3} + \frac{2}{5}$

(vi) $\frac{1}{8} + \frac{5}{12} + \frac{2}{7} + \frac{7}{12} + \frac{9}{7} + \frac{- 5}{16}$

Q. Find the median of the following data.

$x$	$5$	$6$	$10$	$12$	$13$	$15$
$f$	$7$	$8$	$15$	$13$	$9$	$8$

Q. Find the missing term (denoted by question mark '?')

6	7	4	15
7	15	25	28
8	13	?	20
3	5	7	9

Q. Write the following numbers in words.

(1) −9
(2) +5
(3) −28
(4) −100
(5) +81
(6) −4
(7) −1
(8) +1
(9) +72
(10) −48
(11) +65
(12) −95

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Find the compounded ratio of 5:7,12:8 and 13:6

The correct option is B 65:28By the defination of compound ratio 5:7,12:8 and 13:6 can be expressed as57×128×136=6528Hence 65:28

Find the compounded ratio of $5 : 7, 12 : 8$ and $13 : 6$

The correct option is B $65 : 28$
By the defination of compound ratio $5 : 7, 12 : 8$ and $13 : 6$ can be expressed as
$\frac{5}{7} \times \frac{12}{8} \times \frac{13}{6} = \frac{65}{28}$
Hence $65 : 28$