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Question

Let a,b,c,d are real numbers such that |ab|=2,|bc|=3,|ca|=4 . Then the sum of all possible values of |ad| is

A
9
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B
18
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C
24
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D
30
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Solution

The correct option is C 18
|ab|=2,|bc|=3,|cd|=4
ab=±2
bc=±3
cd=±4
possible values of (ad) are ±9,±5,±3
|ad|=9,5,3,1
Sum of all possible values are 18


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