BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Average, Mean and Median

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Master | Next Rank: 500 Posts
Posts: 107
Joined: Sat Feb 27, 2010 11:10 am
GMAT Score:690

Average, Mean and Median

by singhsa » Tue Sep 14, 2010 11:32 am
If the range of the set containing the numbers x, y, and z is 8, what is the value of the smallest number in the set?

1) The average of the set containing the numbers x, y, z, and 8 is 12.5

2) The mean and the median of the set containing the numbers x, y, and z are equal.

OAC
Top
Source: — Data Sufficiency |
User avatar
Legendary Member
Posts: 1460
Joined: Tue Dec 29, 2009 1:28 am
Thanked: 135 times
Followed by:7 members

by selango » Tue Sep 14, 2010 12:14 pm
Range=High-Low=8

stmt1,

x+y+z+8/4=12.5

x+Y+Z=42

There are many possibile values for smallest number.

Insuff

stmt2,

x=1,y=5,z=9,Smallest number is 1

x=-1,y=3,z=7,Smallest number is -1

Insuff

Combining 1 and 2,


x+y+z=42

Let the smallest number be X and largest number be Z

Z-x=8

Z=x+8

-->2x+y=34

x+y+z/3=Y

x+y+z=3y or x+z=2y

2x+8=2y or x-y=4

Solving 2 eqns we can get value of X.

Pick C
--Anand--
Top
Post new topic Post Reply
• Page 1 of 1