GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 14 Oct 2019, 19:44

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

If z = |x+y|, is z > 8?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Director
Director
User avatar
V
Joined: 12 Feb 2015
Posts: 915
If z = |x+y|, is z > 8?  [#permalink]

Show Tags

New post 10 Feb 2019, 09:33
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

84% (01:01) correct 16% (01:33) wrong based on 70 sessions

HideShow timer Statistics

If z = |x+y|, is z > 8?

(1) x > 4

(2) |y| > 4

_________________
"Please hit :thumbup: +1 Kudos if you like this post" :student_man:

_________________
Manish :geek:

"Only I can change my life. No one can do it for me"
Manager
Manager
avatar
G
Joined: 05 Feb 2016
Posts: 168
Location: India
Concentration: General Management, Marketing
WE: Information Technology (Computer Software)
GMAT ToolKit User CAT Tests
Re: If z = |x+y|, is z > 8?  [#permalink]

Show Tags

New post 10 Feb 2019, 09:48
CAMANISHPARMAR wrote:
If z = |x+y|, is z > 8?

(1) x > 4

(2) |y| > 4


To find \(|x+y|>8\)

from 1. we dont know anything about Y so insufficient
from 2.y>4,y<-4 ,insufficient

Combining both also it is insufficient.
Option E
Director
Director
avatar
G
Joined: 09 Mar 2018
Posts: 997
Location: India
Re: If z = |x+y|, is z > 8?  [#permalink]

Show Tags

New post 10 Feb 2019, 09:49
1
CAMANISHPARMAR wrote:
If z = |x+y|, is z > 8?

(1) x > 4

(2) |y| > 4


IMO E

KeyWord = x and y can be +ive or -ive integers/numbers

if z = |x+y|

(1) x > 4, here y can take any value

2) |y| > 4, will imply that
y > 4 or -4 > y

Nothing about x

Lets combine now
x = 5.1 and y = 5.1, z > 8 Yes
x = 4.2 and y = -6, z> 8 No
_________________
If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.
e-GMAT Representative
User avatar
V
Joined: 04 Jan 2015
Posts: 3074
If z = |x+y|, is z > 8?  [#permalink]

Show Tags

New post Updated on: 13 Feb 2019, 22:33

Solution



Given:
    • z = |x + y|

To find:
    • Whether the value of z greater than 8 or not

Analysing Statement 1
As per the information given in statement 1, x > 4.
    • However, from this statement we cannot infer any relevant information regarding y.

Hence, statement 1 is not sufficient to answer the question.

Analysing Statement 2
As per the information given in statement 2, |y| > 4
    • From this statement, we can say that y > 4 or y < -4.
    • However, from this statement we cannot infer any relevant information regarding x.

Hence, statement 2 is not sufficient to answer the question.

Combining Both Statements
Combining both statements, we get
    • x > 4
    • y > 4 or y < -4

Now there can be different cases possible. For example,
    • If x = 5 and y = 5, then x + y = 5 + 5 = 10, and |x + y| = |10| = 10, which is greater than 8.
    • Alternatively, if x = 5 and y = -5, then x + y = 5 + (-5) = 0, and |x + y| = |0| = 0, which is less than 8.

Therefore, even after combining the statements, we cannot determine a unique answer.

Hence, the correct answer is option E.

Answer: E

Image

_________________

Originally posted by EgmatQuantExpert on 12 Feb 2019, 02:29.
Last edited by EgmatQuantExpert on 13 Feb 2019, 22:33, edited 1 time in total.
Intern
Intern
avatar
B
Joined: 21 Nov 2018
Posts: 12
Location: India
Concentration: Finance, Marketing
WE: Engineering (Manufacturing)
Re: If z = |x+y|, is z > 8?  [#permalink]

Show Tags

New post 12 Feb 2019, 02:35
CAMANISHPARMAR wrote:
If z = |x+y|, is z > 8?

(1) x > 4

(2) |y| > 4



Option E

z = |x+y|

Option A, x>4
If y=2, x=5
then z = |5+2| = 7<8
Hence not true

Option B, |y>4|
if y=5, x=2
then z=|2+5|=7<8
Hence not true

Therefore, none of the two are true
GMAT Club Bot
Re: If z = |x+y|, is z > 8?   [#permalink] 12 Feb 2019, 02:35
Display posts from previous: Sort by

If z = |x+y|, is z > 8?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne