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Question

Integers a, b, c, d are such that 5a4, 2b6, 3c8 and 4d6. If X = ab + bc + cd + da, then find the least value of X?

A

-96

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B

-72

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C

48

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D

-144

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Solution

The correct option is A

-96


There are only 2 possibilities for minimum value -

Thus, the answer is option (a).


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