QUANT DS: HELP HELP

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[email protected]: Senior | Next Rank: 100 Posts; Posts: 87; Joined: Sun Jul 24, 2011 10:36 am

by [email protected] » Wed Sep 07, 2011 8:25 am

Q: IF THE AVERAGE OF N CONSECUTIVE INTEGERS IS 10. WHAT IS THE LEAST OF THESE INTEGERS?

A: THE RANGE OF INTEGERS IS 14
B: THE GREATEST ONE IS 34

HELP HELP

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Source: Beat The GMAT — Data Sufficiency | Wed Sep 07, 2011 8:25 am

cans: Legendary Member; Posts: 1309; Joined: Mon Apr 04, 2011 5:34 amFollowed by: 123 members; Location: India; Thanked: 310 times; GMAT Score:750

by cans » Wed Sep 07, 2011 8:33 am

sum of n consecutive integers = 10n
n is odd.
let first =a, then last = a+(n-1)
2a + n =21..
b) a+n-1=34 -> a+n=35. thus a = -14. Sufficient.
a)range=14
a+n-1 -a = 14. n =15. 2a+15=21. a = 3. Sufficient.
IMO D

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Whitney Garner: GMAT Instructor; Posts: 273; Joined: Tue Sep 21, 2010 5:37 amFollowed by: 74 members; Location: Durham, NC; Thanked: 154 times; GMAT Score:770

by Whitney Garner » Thu Sep 08, 2011 10:25 pm

[email protected] wrote:Q: IF THE AVERAGE OF N CONSECUTIVE INTEGERS IS 10. WHAT IS THE LEAST OF THESE INTEGERS?

A: THE RANGE OF INTEGERS IS 14
B: THE GREATEST ONE IS 34

HELP HELP

Hi [email protected]!

Would you mind checking the information for the original source - this question is a definite NO NO when it comes to the world of GMAT - the two statements both give definitive solutions, but those solutions DO NOT match!

Lets look at the statements together: If the highest number is 34, and the range is 14, the smallest number would be 20. But if the terms are 20 through 34, the average CANNOT be 10. Something is wrong with this problem because the GMAT will never have the statements disagree!

Let us know when you have verified the problem so we can help

Whit

Whitney Garner
GMAT/GRE/EA Instructor & Anxiety/Accommodations Coach
www.whitneygarner.com

Contributor to Beat The GMAT!

Math is a lot like love - a simple idea that can easily get complicated

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