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

 It is currently 18 Nov 2019, 09:55

### 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

# What values of X will be closer to the point A = -5 than the

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

### Hide Tags

MBA Section Director
Affiliations: GMAT Club
Joined: 22 Feb 2012
Posts: 7197
City: Pune
What values of X will be closer to the point A = -5 than the  [#permalink]

### Show Tags

17 May 2014, 00:13
14
00:00

Difficulty:

35% (medium)

Question Stats:

68% (01:34) correct 32% (01:40) wrong based on 768 sessions

### HideShow timer Statistics

What values of X will be closer to the point A = -5 than the point B = 7 on the number line?

I) 0 < x < 2
II) 1 < x < 1.5
III) x < -10

A) Only I
B) Only II
C) Only III
D) Both I and III
E) Both II and III

_________________
2020 MBA Applicants: Introduce Yourself Here!

MBA Video Series - Video answers to specific components and questions about MBA applications.

2020 MBA Deadlines, Essay Questions and Analysis of all top MBA programs
Math Expert
Joined: 02 Sep 2009
Posts: 59126
Re: What values of X will be closer to the point A = -5 than the  [#permalink]

### Show Tags

17 May 2014, 05:04
11
9
Narenn wrote:
What values of X will be closer to the point A = -5 than the point B = 7 on the number line?

I) 0 < x < 2
II) 1 < x < 1.5
III) x < -10

A) Only I
B) Only II
C) Only III
D) Both I and III
E) Both II and III

x is closer to -5 than to 7 means $$|x-(-5)|<|x-7|$$ --> $$|x+5|<|x-7|$$.

Both sides are non-negative, thus we can safely square: $$x^2+10x+25<x^2-14x+49$$ --> $$x<1$$. So, we have that for x to be closer to -5 than it is to 7, x must be less than 1. Only the third option gives the values of x all of which are less than 1.

Answer: C (III only).
_________________
##### General Discussion
Intern
Joined: 11 Oct 2015
Posts: 5
Re: What values of X will be closer to the point A = -5 than the  [#permalink]

### Show Tags

08 Jan 2016, 06:28
2
From a logic perspective, you see the question is asking about distances from -5 and 7. The distance between -5 and 7 is (7- (-5)) = 12. One half of 12 is 6, so 6 + (-5) is +1 and 7 - 6 = +1 as well, which is the mid-point between -5 and 7. Therefore, we are trying to find if the points in the given answers are < +1. The only answer that fulfills this requirement for all possible numbers is choice III.
Manager
Joined: 26 Mar 2014
Posts: 98
Concentration: General Management, Strategy
GMAT 1: 630 Q49 V26
GMAT 2: 710 Q50 V37
WE: Consulting (Computer Software)
Re: What values of X will be closer to the point A = -5 than the  [#permalink]

### Show Tags

17 May 2014, 01:25
1
I solved this by drawing a number a line and then getting the minimum and maximum distance from both points A and B for each option of X.

I) 0 < x < 2 - (Min,Max) distances from A: (5,7) and B:(5,7)
II) 1 < x < 1.5 -(Min,Max) distances from A: (6,6.5) and B:(6,5.5)
III) x < -10 -(Min,Max) distances from A: (5,undefined) and B:(17,undefined)

So we see that only option 3 satisfies X being closer to A than B.Hence, the answer is C.
Director
Joined: 25 Apr 2012
Posts: 654
Location: India
GPA: 3.21
WE: Business Development (Other)
Re: What values of X will be closer to the point A = -5 than the  [#permalink]

### Show Tags

17 May 2014, 01:26
1
Narenn wrote:
What values of X will be closer to the point A = -5 than the point B = 7 on the number line?

I) 0 < x < 2
II) 1 < x < 1.5
III) x < -10

A) Only I
B) Only II
C) Only III
D) Both I and III
E) Both II and III

Sol: Consider Range in option I

If x =0.9 then x is close to pt A but if x= 1.9 then pt x is close to pt B so option A and D can be ruled out
Consider range in option II. All the points in this range is close to Pt B. So option B and E is ruled out

Ans is III only or Option C only

Alternatively the question can be done by drawing a no. line. We can clearly see that that values to the left of Pt A will be closer to it than Pt B. Points to the right may or may not be close to Pt A in the given ranges in option I and II. Ans is C
Attachments

Untitled.png [ 12.29 KiB | Viewed 7047 times ]

_________________

“If you can't fly then run, if you can't run then walk, if you can't walk then crawl, but whatever you do you have to keep moving forward.”
Director
Joined: 09 Mar 2018
Posts: 994
Location: India
Re: What values of X will be closer to the point A = -5 than the  [#permalink]

### Show Tags

16 Feb 2019, 20:14
Narenn wrote:
What values of X will be closer to the point A = -5 than the point B = 7 on the number line?

I) 0 < x < 2
II) 1 < x < 1.5
III) x < -10

A) Only I
B) Only II
C) Only III
D) Both I and III
E) Both II and III

So when we plot the given lines on the umber line, we can actually see that 1 and 2 will be giving values that will be far from A.

Only 3, will give you a value which will be nearer to point A

C
_________________
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.
Re: What values of X will be closer to the point A = -5 than the   [#permalink] 16 Feb 2019, 20:14
Display posts from previous: Sort by

# What values of X will be closer to the point A = -5 than the

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

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