It is currently 22 Jun 2017, 09:56

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If x is a positive number less than 10, is z greater than

Author Message
Manager
Joined: 17 Jan 2006
Posts: 92
If x is a positive number less than 10, is z greater than [#permalink]

Show Tags

30 May 2006, 17:17
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If x is a positive number less than 10, is z greater than the average of x and 10

1. on the number line, z is closer to 10 than it is to x
2. z=5x
VP
Joined: 21 Sep 2003
Posts: 1057
Location: USA

Show Tags

30 May 2006, 17:32
A?

1. The average of x and 10 will be at the same distance from x and 10. Since is closer to 10, and x < 10, z has to be greater than average of x and 10. SUFF.

2. If x = 1 => z = 5; Average of x and 10 = 11/2 = 5.5 > z
If x = 2 => z = 10; Average of x and 10 = 12/2 = 6 < z.
INSUFF.
_________________

"To dream anything that you want to dream, that is the beauty of the human mind. To do anything that you want to do, that is the strength of the human will. To trust yourself, to test your limits, that is the courage to succeed."

- Bernard Edmonds

VP
Joined: 29 Dec 2005
Posts: 1341

Show Tags

30 May 2006, 18:12
giddi77 wrote:
A?

1. The average of x and 10 will be at the same distance from x and 10. Since is closer to 10, and x < 10, z has to be greater than average of x and 10. SUFF.

2. If x = 1 => z = 5; Average of x and 10 = 11/2 = 5.5 > z
If x = 2 => z = 10; Average of x and 10 = 12/2 = 6 < z.
INSUFF.

agree with giddi77, however z cannot be 10.

1. if st 1 is true, z is always greater than the average of x and 10.
2. if x = 0.2, z = 1 where as the avg of 10 and x is > than z. if x = 1.9, z = 9.55, which is > than the avg of x and 10.
Senior Manager
Joined: 08 Jun 2004
Posts: 495
Location: Europe

Show Tags

30 May 2006, 19:38
A it is.

More simple explanations

1. on the number line, z is closer to 10 than it is to x

x=9, so average of x and 10 = 9.5, z at least =9.6 suff to answer.

2. z=5x

x=9, z = 45 greater than average.
x=1, z = 5 less than average, not suff to answer.
SVP
Joined: 30 Mar 2006
Posts: 1728

Show Tags

30 May 2006, 22:30
A

1) z is closer to 10 on the number line than to x and x is less than 10
In all cases of x from 0-9 if z is closer to 10 , it is greater than the average of 10 and x

2) z=5x

When x = 8 , AV = 9 and z = 40 hence z> AV
When x = 1 , AV = 5.5 and z =5 hence z< AV
therefor not suff
Manager
Joined: 04 Dec 2005
Posts: 81

Show Tags

08 Oct 2006, 00:19

1) Consider the example of X =9 and Z = 9.1

Z is closer to 10 compared to X

Avg of X and 10 = 19/2 = 9.5 > Z

2) Consider the example of X = 9 and Z = 9.6

Z is closer to 10 compared to X

Avg of X and 10 = 19/2 = 9.5 < Z

Senior Manager
Joined: 01 Oct 2006
Posts: 495

Show Tags

08 Oct 2006, 00:58
withme wrote:

1) Consider the example of X =9 and Z = 9.1

Z is closer to 10 compared to X

Avg of X and 10 = 19/2 = 9.5 > Z

2) Consider the example of X = 9 and Z = 9.6

Z is closer to 10 compared to X

Avg of X and 10 = 19/2 = 9.5 < Z

The first examplae has a wrong value for z the statement z is closer to as compared to x means that 10 - z<z-x
Therefor on a number line z will always be on right hand side of the mid pt of segment x-10 therefore z will be greater than the average.

Hope this helps

Yogesh
SVP
Joined: 05 Jul 2006
Posts: 1747

Show Tags

08 Oct 2006, 02:35
If x is a positive number less than 10, is z greater than the average of x and 10

1. on the number line, z is closer to 10 than it is to x
2. z=5x

on the number line the average of any two numbers is exactly in the middle of the distance between them

so from stem all we need to know whether z lies in the half closer to 10 or that of x

from one

it is closer to 10 thus sure it is greater than the average ( either greater than 10 or just greater than 10+x / 2 ........suff

from two

z =5x z takes different places with different values of x......insuff

Director
Joined: 23 Jun 2005
Posts: 841
GMAT 1: 740 Q48 V42

Show Tags

08 Oct 2006, 05:36
A

Statement 1: If Z is closer to 10 than x, then that means Z is greater than half the distance between x and 10 on the number line. SUFF

Statement 2: If x=1, then not true, but if x=2, then true. INSUFF
Senior Manager
Joined: 28 Aug 2006
Posts: 304

Show Tags

08 Oct 2006, 06:05
The average of any two numbers is the number equidistant from those two numbers.

Clearly 1 says z is closer to 10 which means Z will be definitely greater than the average.
So sufficient

Statement 2 is not sufficient...........(many ways already explained)\

So A
_________________
08 Oct 2006, 06:05
Display posts from previous: Sort by