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

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

by Max@Math Revolution » Thu Feb 11, 2016 10:08 pm
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. Math Revolution
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Only $149 for 3 month Online Course Free Resources-30 day online access & Diagnostic Test Unlimited Access to over 120 free video lessons-try it yourself Email to : info@mathrevolution.com GMAT Instructor Posts: 3650 Joined: 21 Jan 2009 Location: India Thanked: 267 times Followed by:81 members GMAT Score:760 by sanju09 » Fri Feb 12, 2016 12:49 am 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. This question is poorly worded, and on first look it doesn't seem to be genuine GMAT wordings. Proper wordings would have been like: 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] The mind is everything. What you think you become. -Lord Buddha Sanjeev K Saxena Quantitative Instructor The Princeton Review - Manya Abroad Lucknow-226001 www.manyagroup.com Elite Legendary Member Posts: 3668 Joined: 24 Jul 2015 Location: Las Vegas, USA Thanked: 19 times Followed by:36 members by Max@Math Revolution » Sun Feb 14, 2016 10:32 pm 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. Math Revolution Finish GMAT Quant Section with 10 minutes to spare. The one-and-only World's First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. Only$149 for 3 month Online Course
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