There are 5 consecutive integers. If the product of the 5 numbers is not zero, what is the number of the negative numbers of them?

1) The greatest number of the 5 numbers is less than 5.

2) At least one of the 5 numbers is negative.

* A solution will be posted in two days.

## There are 5 consecutive integers. If the product of the 5 nu

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- Max@Math Revolution
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This question is poorly worded, and on first look it doesn't seem to be genuine GMAT wordings. Proper wordings would have been like:Max@Math Revolution wrote:There are 5 consecutive integers. If the product of the 5 numbers is not zero, what is the number of the negative numbers of them?

1) The greatest number of the 5 numbers is less than 5.

2) At least one of the 5 numbers is negative.

* A solution will be posted in two days.

If the product of 5 consecutive integers is not zero, how many of those integers are negative?

(1) The greatest of the 5 consecutive integers is less than 5.

(2) At least one of the 5 consecutive integers is negative.

By saying that the product of 5 consecutive integers is not zero, they mean that 0 is not in the list. In other words, the 5 consecutive integers are either all positives or all negatives. So, a possible answer to the question in prompt (how many of those integers are negative?) is either 0 or 5. Let's examine each statement one by one:

(1) If the greatest of the 5 consecutive integers is less than 5, it means those cannot be 5 positive consecutive integers, otherwise we have to include 0, which is not permissible. Those must be negatives only and answer is 5. Sufficient

(2) If at least one of the 5 consecutive integers is negative, then all have to be negatives only, and answer is 5. [spoiler]

**Sufficient**

Pick D

[/spoiler]

Pick D

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- Max@Math Revolution
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**Posts:**3668**Joined:**24 Jul 2015**Location:**Las Vegas, USA**Thanked**: 19 times**Followed by:**36 members

There are 5 consecutive integers. If the product of the 5 numbers is not zero, what is the number of the negative numbers of them?

1) The greatest number of the 5 numbers is less than 5.

2) At least one of the 5 numbers is negative.

In the original condition, it says there are 5 consecutive integers, which are n, n+1, n+2, n+3, n+4. So, you only need to figure out n. Thus, there is 1 variable, which should match with the number of equation. So you need 1 equation. For 1) 1 equation, for 2) 1 equation, which is likely to make D the answer.

For 1), only like -5,-4,-3,-2,-1/-6,-5,-4,-3,-2... are valid and there are always 5 negative integers, which is unique and sufficient.

For 2), only like -5,-4,-3,-2,-1/-6,-5,-4,-3,-2... are valid and there are always 5 negative integers, which is unique and sufficient.

Therefore, the answer is D.

1) The greatest number of the 5 numbers is less than 5.

2) At least one of the 5 numbers is negative.

In the original condition, it says there are 5 consecutive integers, which are n, n+1, n+2, n+3, n+4. So, you only need to figure out n. Thus, there is 1 variable, which should match with the number of equation. So you need 1 equation. For 1) 1 equation, for 2) 1 equation, which is likely to make D the answer.

For 1), only like -5,-4,-3,-2,-1/-6,-5,-4,-3,-2... are valid and there are always 5 negative integers, which is unique and sufficient.

For 2), only like -5,-4,-3,-2,-1/-6,-5,-4,-3,-2... are valid and there are always 5 negative integers, which is unique and sufficient.

Therefore, the answer is D.

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