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Question
In which of the following table, x and y vary directly:
| x | 27 | 45 | 54 | 75 |
| y | 81 | 180 | 216 | 225 |
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Solution
`"x"_1/"y"_1=27/81=1/3`
`"x"_2/"y"_2=45/180=9/36=1/4`
`"x"_3/"y"_3=54/216=18/72=1/4`
`"x"_4/"y"_4=75/225=15/45=1/3`
`⇒"x"_1/"y"_1≠"x"_2/"y"_2 ="x"_3/"y"_3≠"x"_4/"y"_4`
x and y are not in direct variation.
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