Both u and v vary directly with each other. When u is 10 and v is 15, which of the following is not a possible pair of corresponding values of u and v?

options
u
v
A
15
20
B
2
3
C
25
37.5
D
16
24

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answer is A.

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Detailed Solution

Given when u is 10 and v is 15.
Ratio will be,

= \frac{10}{15}

= \frac{2}{3}

=2:3
Calculate the ratio of u and v for each given option.

option 1 : \frac{15}{20} = \frac{3}{4}

option 2 = \frac{2}{3}

option 3 : \frac{25}{37.5} = \frac{2}{3}

option 4 : \frac{16}{24} = \frac{2}{3}

Using the fact that for u and v in direct variation ratio of u and v should be constant and hence it can be noticed from the given 4 options that the ratio in option a is different from all other options.
We then conclude that option a (15 and 20) is not a possible pair of corresponding values of u and v.
Hence, the correct option is 1.

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