Bunuel wrote:

If the product of 7 consecutive integers is not zero, is the product negative?

(1) The largest number is less than 7

(2) At least on of the numbers is negative

\(a*b*c*d*e*f*g = not zero.\)

Does \(a*b*c*d*e*f*g < 0\)?

Statement 1.- \(g < 7\).

- g cannot be 6, because it makes a = 0, and the product is not 0.

- So does g cannot be the number between 0 and 6, because it will make the product become 0.

- Possibility is that a,b,c,d,e,f,g all negative numbers.

- SUFFICIENT.

Statement 2- At least one of the numbers are negative.

- If one is negative and the other is positive, so there MUST be 0 in the set, so the product can be 0

- That's why, the number should be ALL NEGATIVE.

- SUFFICIENT.

D.

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