Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

 It is currently 18 Jul 2019, 06:21

### 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

# Point K = (A, 0), Point G = (2A + 4, (2A + 9)^(1/2)). Is the distance

Author Message
TAGS:

### Hide Tags

Manager
Joined: 13 Mar 2013
Posts: 162
Location: United States
GPA: 3.5
WE: Engineering (Telecommunications)
Point K = (A, 0), Point G = (2A + 4, (2A + 9)^(1/2)). Is the distance  [#permalink]

### Show Tags

Updated on: 19 Aug 2018, 21:00
3
3
00:00

Difficulty:

55% (hard)

Question Stats:

67% (02:19) correct 33% (02:47) wrong based on 128 sessions

### HideShow timer Statistics

Point K = (A, 0), Point G = (2A + 4, $$\sqrt{2A + 9}$$). Is the distance between point K and G prime?

(1) A^2 – 5A – 6 = 0
(2) A > 2

_________________
Regards ,

Originally posted by TheKingInTheNorth on 09 Jun 2017, 22:49.
Last edited by Bunuel on 19 Aug 2018, 21:00, edited 1 time in total.
Renamed the topic and edited the question.
Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3360
Location: India
GPA: 3.12
Re: Point K = (A, 0), Point G = (2A + 4, (2A + 9)^(1/2)). Is the distance  [#permalink]

### Show Tags

09 Jun 2017, 23:44
abhisheknandy08 wrote:
Point K = (A, 0), Point G = 2A 4, 2A9. Is the distance between point K and G prime?
(1) A2 – 5A – 6 = 0
(2) A > 2

What is Point G, it is not clear. Kindly check the question stem.
_________________
You've got what it takes, but it will take everything you've got
Manager
Joined: 13 Mar 2013
Posts: 162
Location: United States
GPA: 3.5
WE: Engineering (Telecommunications)
Re: Point K = (A, 0), Point G = (2A + 4, (2A + 9)^(1/2)). Is the distance  [#permalink]

### Show Tags

10 Jun 2017, 01:18
Correct version of the question .
Attachments

Question.PNG [ 9.27 KiB | Viewed 1515 times ]

_________________
Regards ,
Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3360
Location: India
GPA: 3.12
Re: Point K = (A, 0), Point G = (2A + 4, (2A + 9)^(1/2)). Is the distance  [#permalink]

### Show Tags

10 Jun 2017, 01:35
Formula used:
Distance between points K(x1,y1) and G(x2,y2) = $$\sqrt{(x1 - x2)^2 + (y1 - y2)^2}$$

On analyzing statement 1 independently, we get A = 6,-1
When A=6, Points K(6,0) and G(16,$$\sqrt{21}$$) have a distance of 11(a prime number)
But if A=-1, Points K(-1,0) and G(2,$$\sqrt{7}$$) have a distance of 4(not a prime number)
Insufficient.

Similarly on analyzing statement 2 independently, using A = 3,6
Since we have got the distance, when A=6 to be prime.
Let analyze if A=3
Points K(3,0) and G(10,$$\sqrt{15}$$) have a distance of 8(not a prime number)
Insufficient.

But, on combining both the statements, we can clearly say A=6, which has a prime number as the distance between K and G.
Sufficient(Option C)
_________________
You've got what it takes, but it will take everything you've got
Director
Joined: 12 Nov 2016
Posts: 713
Location: United States
Schools: Yale '18
GMAT 1: 650 Q43 V37
GRE 1: Q157 V158
GPA: 2.66
Re: Point K = (A, 0), Point G = (2A + 4, (2A + 9)^(1/2)). Is the distance  [#permalink]

### Show Tags

16 Jun 2017, 15:52
In order to solve this question we need a restriction on the possibilities for X- statement 1 and 2 individual fail to provide criteria that allow us to narrow down a discrete value of "a" but statement 1 and 2 together allow us to factor the equation in one and asses one value of a.

Posted from my mobile device
Non-Human User
Joined: 09 Sep 2013
Posts: 11693
Re: Point K = (A, 0), Point G = (2A + 4, (2A + 9)^(1/2)). Is the distance  [#permalink]

### Show Tags

19 Aug 2018, 21:01
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: Point K = (A, 0), Point G = (2A + 4, (2A + 9)^(1/2)). Is the distance   [#permalink] 19 Aug 2018, 21:01
Display posts from previous: Sort by