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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
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- –3 and 3
- –1 and 1
- –1 and 3
- 1 and 3
Correct Option: A
log |a| + log |b| + log |c| = 0
It is possible only,
when |a|, |b| and |c| all are equal to 1.
∴ a, b, c may be ±1, ±1, ±1 respectively.
Now for minimum value of all thr ee will be negative.
∴ minimum value = - 3
and maximum value of all three will be positive.
∴ maximum value = +3