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Hi guys, I need to discuss something. For DS Question, there is this prompt:
>> The points (4,2) and (4,–5) are on line ℓ
Is line x=4 is the only possibility or can I think of it as a potential quadratic equation, like a circle for example
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Maxsparrow
Hi guys, I need to discuss something. For DS Question, there is this prompt: >> The points (4,2) and (4,–5) are on line ℓ Is line x=4 is the only possibility or can I think of it as a potential quadratic equation, like a circle for example
Hi as per two points you can only find equation of line, for quadratic equation three non collinear and four cubic curve four non collinear and for ellipse five non collinear point. for circle you need at least three non collinear points

So for this x=4 is only thing that can be possible as per my thinking
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Sidharth11, options please!
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Can anyone solve this ? For how many values of x,[ (x+3)^ 2/ x+9 ] is an integer, where x is a natural number?
I think for 4 possible value of x these are integer x can be 0,3,9, and 27
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My bad x cant be zero it is asking x has to be natural number so x can 3,9 and 27
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Hi guys, I need to discuss something. For DS Question, there is this prompt:
>> The points (4,2) and (4,–5) are on line ℓ
Is line x=4 is the only possibility or can I think of it as a potential quadratic equation, like a circle for example

That question is discussed here: https://gmatclub.com/forum/is-line-para ... 24959.html Hope it helps.
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Hi guys, I need to discuss something. For DS Question, there is this prompt:
>> The points (4,2) and (4,–5) are on line ℓ
Is line x=4 is the only possibility or can I think of it as a potential quadratic equation, like a circle for example

To address your question, it's important to understand that in Euclidean geometry, a line is defined as a straight curve. On a coordinate plane, lines are represented algebraically through linear equations and functions. Therefore, the line in question cannot be a circle or a parabola, as these are not straight curves.
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Bunuel
To address your question, it’s important to understand that in Euclidean geometry, a line is defined as a straight curve. On a coordinate plane, lines are represented algebraically through linear equations and functions. Therefore, the line in question cannot be a circle or a parabola, as these are not straight curves.
Hi Bunuel , in focus edition Geometry won’t come right? so we would not get these type of question?
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Bunuel
To address your question, it’s important to understand that in Euclidean geometry, a line is defined as a straight curve. On a coordinate plane, lines are represented algebraically through linear equations and functions. Therefore, the line in question cannot be a circle or a parabola, as these are not straight curves.
Hi Bunuel , in focus edition Geometry won’t come right? so we would not get these type of question?

As far as I know (taken from here: https://gmatclub.com/forum/gmat-focus-e ... 08213.html), in the GMAT Focus edition, some concepts of coordinate geometry are still tested, but they have been categorized under the Functions or Algebra sections.
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Hi guys, could anyone please help me to elaborate the why the answer for this is 1/6?

Hi guys, could anyone please help me to elaborate why the answer for this is 1/6?
(Sorry for spamming, I just sent the wrong pic so I am sending this again)
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@hathanhngueyn hope this helps
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There are 140 students in a school. The number of students who play Cricket, Football and Hockey are 50, 80 and 70 respectively. The ratio of the number of students who play more than one of the three sports to the number of students who play all the three sports is 3 : 2. If each student of the school plays at least one of the three sports, then how many students play exactly two of the three sports?(a) 12 (b) 14 (c) 16 (d) 20 (e) 24

AyushAgicha
There are 140 students in a school. The number of students who play Cricket, Football and Hockey are 50, 80 and 70 respectively. The ratio of the number of students who play more than one of the three sports to the number of students who play all the three sports is 3 : 2. If each student of the school plays at least one of the three sports, then how many students play exactly two of the three sports?(a) 12 (b) 14 (c) 16 (d) 20 (e) 24
can someone please provide a detailed solution
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Is the answer A?
T = A+ B + C + Neither - Exactly 2 - 2*(Exactly 3)

140 = 50 + 70 + 80 + 0 - Exactly 2 - 2 * (Exactly 3)

Yielding =>

Exactly 2 = 60 - 2*(Exactly 3)

Now from given ratios=>

(Ex 2 + Ex 3) / (Ex 3) = 3/2

Rearrange to get Ex 2 =>

Ex 2 = 0.5*(Ex 3)

Ex 3 = 2*(Ex 2)
Hence =>

Ex 2 = 60 - 4*(Ex 2)

Thus Ex 2 = 12.

advanced-overlapping-sets-problems-144260.html
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A sequence a_n defined such that a_{n} = a_{n-1} - a_{n-2} ,where n are integers greater than 2. What is the value of a_5 ?

(1) a_{4} - a_{3} = 3
(2) a_{14} = 1

How is option 2 sufficient
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Does anyone have solution for this ?
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(5/6+2/3+1/2)/2 = (5/6+4/6+3/6)/2 = (12/6)/2 = 1
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Does anyone have solution for this ?
A and B will fill 5/6 of tank capacity in one hour.
A and C will fill 2/3 of tank capacity in one hour. B and C will fill 1/2 tank capacity in one hour.

Adding all together, we assume to have 2 pipes of A, B & C, which will fill (6/5 + 3/2 + 1/2) = 2 tank capacity.

Dividing by 2 to reduce from 6 pipes (2x A, B & C), we get 1 tank capacity in 1 hour. Hence option D is right
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