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

It is currently 23 Jul 2018, 01:13

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

Is |x| > 10?

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

Hide Tags

Expert Post
2 KUDOS received
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 6286
Is |x| > 10?  [#permalink]

Show Tags

New post 08 Oct 2017, 21:06
2
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

64% (00:56) correct 36% (00:43) wrong based on 82 sessions

HideShow timer Statistics

Is |x| > 10?

(1) \(x^2-12x+20=0\)

(2) x < 10

_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

Intern
Intern
avatar
B
Joined: 04 Nov 2015
Posts: 33
Re: Is |x| > 10?  [#permalink]

Show Tags

New post 08 Oct 2017, 21:26
chetan2u wrote:
Is |x|>10?

(1) \(x^2-12x+20=0\)
(2) x < 10


I suppose the ans should be E.
The question asks us -10<x<10 .
from 1: we get x =2 ,10 (Not sufficient)
from 2: x<10 (Not sufficient).

Combining also yields no new info.
Experts please clarify.

Regards,
Sandeep
1 KUDOS received
Manager
Manager
avatar
B
Joined: 21 Jun 2014
Posts: 65
Re: Is |x| > 10?  [#permalink]

Show Tags

New post 08 Oct 2017, 22:21
1
sandeep211986 wrote:
chetan2u wrote:
Is |x|>10?

(1) \(x^2-12x+20=0\)
(2) x < 10


I suppose the ans should be E.
The question asks us -10<x<10 .
from 1: we get x =2 ,10 (Not sufficient)
from 2: x<10 (Not sufficient).

Combining also yields no new info.
Experts please clarify.

Regards,
Sandeep

It should be A. Because we have only 2 values for x, either 2 or 10, and hence we can clearly say that mod x is not greater than 10.

Also -10<x<10 is not correct. The question says mod x > 10. So either X < -10 or X>10.

Sent from my Moto G (5) Plus using GMAT Club Forum mobile app
Intern
Intern
avatar
Joined: 08 Oct 2017
Posts: 1
Re: Is |x| > 10?  [#permalink]

Show Tags

New post 09 Oct 2017, 00:26
The answer should be C.

Explanation:

We are supposed to find a definite yes or no answer for whether x is between -10 and 10 excluding -10 and 10.

1) \(x^2-12x+20=0\)
This equation gives us 2 and 10. If it is 2, answer is yes. If it is 10, answer is no. So, the information is not sufficient.

2) x<10
x is less than not equal to 10. If we take 3 answer is yes. If we take -20, answer is no. So, we don't have a definite yes or no. Hence, information not sufficient.

Combining both 1) and 2)
The only answer is 2. This gives a definite yes to our original question (whether x is between -10 and 10 excluding -10 and 10).
So, the option C is our answer.
1 KUDOS received
Manager
Manager
avatar
B
Joined: 21 Jun 2014
Posts: 65
Re: Is |x| > 10?  [#permalink]

Show Tags

New post 09 Oct 2017, 01:51
1
surabhichaudhary20 wrote:
The answer should be C.

Explanation:

We are supposed to find a definite yes or no answer for whether x is between -10 and 10 excluding -10 and 10.

1) \(x^2-12x+20=0\)
This equation gives us 2 and 10. If it is 2, answer is yes. If it is 10, answer is no. So, the information is not sufficient.

2) x<10
x is less than not equal to 10. If we take 3 answer is yes. If we take -20, answer is no. So, we don't have a definite yes or no. Hence, information not sufficient.

Combining both 1) and 2)
The only answer is 2. This gives a definite yes to our original question (whether x is between -10 and 10 excluding -10 and 10).
So, the option C is our answer.

In the first statement, for X= 10, the answer is No and for X= 2, the answer is still No . So it is sufficient.

Sent from my Moto G (5) Plus using GMAT Club Forum mobile app
1 KUDOS received
Senior Manager
Senior Manager
User avatar
S
Joined: 05 Dec 2016
Posts: 259
Concentration: Strategy, Finance
GMAT 1: 620 Q46 V29
GMAT ToolKit User
Re: Is |x| > 10?  [#permalink]

Show Tags

New post 09 Oct 2017, 03:33
1
(1) Solving, we get x=2;10. Hence |x|<10 anyway, so YES sufficient.
(2) x= 5 |5|<10
x= -100 |100|>10 NOT sufficient

Answer A
1 KUDOS received
Manager
Manager
avatar
B
Joined: 14 Sep 2016
Posts: 149
Re: Is |x| > 10?  [#permalink]

Show Tags

New post 09 Oct 2017, 06:19
1
chetan2u wrote:
Is |x| > 10?

(1) \(x^2-12x+20=0\)
(2) x < 10


The questions asks is x >10 or x < -10

1) We get two solutions for x 2 and 10. These two solutions sujests that x is neither greater than 10 nor less - 10. Sufficient
2) This tells that x is less than 10 but doesnt tell that x is less than - 10 or not. Insufficient

Answer A
Intern
Intern
avatar
B
Joined: 24 Jan 2015
Posts: 34
Location: India
GMAT 1: 510 Q37 V23
Re: Is |x| > 10?  [#permalink]

Show Tags

New post 09 Oct 2017, 22:15
Bunuel lot of different answers here, could you kindly clarify?
Expert Post
1 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 47200
Re: Is |x| > 10?  [#permalink]

Show Tags

New post 09 Oct 2017, 23:22
1
Amerendra wrote:
Bunuel lot of different answers here, could you kindly clarify?


saicharan1191 solution is correct. The answer is A.

Is |x| > 10?

(1) \(x^2-12x+20=0\):

x = 2 or x = 10. In either case the answer to the question whether |x| > 10 is NO. Sufficient.

(2) x < 10:

If x = 0, then the answer is YES but if x = -100, then the answer is NO. Not sufficient.

Answer: A.

Hope it's clear.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Manager
Manager
avatar
B
Joined: 13 Apr 2016
Posts: 54
Location: India
Schools: Great Lakes
GMAT 1: 660 Q37 V42
GPA: 2.99
WE: Information Technology (Retail Banking)
Re: Is |x| > 10?  [#permalink]

Show Tags

New post 10 Oct 2017, 01:52
Ans should be A. X =2,10. Hence in both cases value of x is lesser than 10. Hence A is sufficient.

If x is less than 10. X can be -1 or 11. Here value of x is less than 10 in one case and more than 10 in one case. So not sufficient.

Sent from my SM-G600FY using GMAT Club Forum mobile app
Re: Is |x| > 10? &nbs [#permalink] 10 Oct 2017, 01:52
Display posts from previous: Sort by

Is |x| > 10?

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

Events & Promotions

PREV
NEXT


GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.