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

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by [email protected] » Sat Sep 17, 2011 12:41 pm

Q Nine positive integers are contained in Set N. The median of Set N is the integer x, and all the values in Set N are 3x or smaller. What is the largest possible average (arithmetic mean) of set N?

A: X B: 17X/9 C: 17X/9 - 1 D: 17X-4 /9 E: 3X

MY ANS B IS WRONG

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Source: Beat The GMAT — Data Sufficiency | Sat Sep 17, 2011 12:41 pm

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

by cans » Sat Sep 17, 2011 9:12 pm

median = x and max value = 3x.
largest average means all the numbers should be max.
5th number=x (median)
6th,7th,8th,9th = 3x,3x,3x,3x
1st,2nd,3rd,4th=x,x,x,x (they can't be greater than x)
mean = 17x/9
IMO B

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