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In a proportion the product of 1st and 4th terms is 40 and that of 2nd and 3rd terms is 2.5x. Then the value of x is.

In a proportion the product of 1st and 4th terms is 40 and that of 2nd and 3rd terms is 2.5x. Then the value of x is.
a) 16
b) 26
c) 75
d) 90

Answer: a
Explanation: Product of 1st and 4th terms (extremes) = product of 2nd and 3rd terms (means)
$$\eqalign{ & {\text{2}}{\text{.5}}x = {\text{40}} \cr & x = \frac{{40}}{{2.5}} = 16 \cr} $$

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