Question
For integers 𝑎, 𝑏 and 𝑐, what would be the minimum and maximum values respectively of 𝑎 + 𝑏 + 𝑐 if log |𝑎| + log |𝑏| + log |𝑐| = 0?
Options :
-3 and 3
-1 and 1
-1 and 3
1 and 3
Answer :
-3 and 3
Solution :
log| a|+ log| b |+ log| c | = 0
It is possible only, If | a |,| b | and | c | all are equal to 1.
So, a, b, c may be respectively ‘+1’ or ‘-1’.
For minimum value all three will be negative.
So, minimum value = - 3
For maximum value all three will be positive.
So, maximum value = + 3.
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