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Question

Question: How many numbers can is chosen at random from first one hundred natural numbers such that \(\frac{(x...

How many numbers can is chosen at random from first one hundred natural numbers such that (x20)(x40)x30>0\frac{(x - 20)(x - 40)}{x - 30} > 0

A

19

B

9

C

28

D

None of these

Answer

28

Explanation

Solution

(x20)(x40)(x30)<0\frac{(x - 20)(x - 40)}{(x - 30)} < 0

Ž x < 20 or 30 < x < 40

Ž numbers 19 + 9 = 28.