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Bunuel
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Bunuel
Is the largest of 7 consecutive numbers odd?

(1) The product of the seven numbers is zero.
(2) The sum of the seven numbers is zero.

(1) The product of the seven numbers is zero.
That means one number is '0'. But we don't know the place of '0' in these 7 numbers.

Not Sufficient.

(2) The sum of the seven numbers is zero.
Sum of consecutive numbers is 0 when there are equal +ve and -ve numbers. The only possibility for having 0 as the sum of 7 consecutive numbers is

-3, -2, -1, 0 , 1 , 2, 3

B is sufficient.
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