The concept of symmetry and "order does not matter" for the third question is inspiring! I wondered whether I really need to test all options algebraically for this kind of function question and now I see an efficient way. Thank you Avi!
You are spot on Avi. Solving questions using visualisation is definitely superior to solving questions using mindless algebra because this is what the exam is designed to test.
Amazing!!! It is super helpful. I think there is a need to repeat this idea from one of your videos that you want to take applicants away from that analytical mind, using a spreadsheet, to a more executive mind. You are doing a wonderful job and I wanna kindly ask those who like these tutorials to share them so that your words would be heard. Keep up the good job, Avi!!!
Hi Avi - from 19.40 - end of the video : While I do agree on the insights : a) multiplication renders the order irrelevant. b) squaring makes sure which ever side of zero x lies, is irrelevant. I am not sure even in that case, I would STILL be comfortable to pick D. For example. If instead the function was : f(a) = f (a+1) option P) (a)^2. (a+1)^2 option Q) (a)^2. (a-1)^2 option R) (a)^2. (1-a)^2 option S) (a-2)^2. (a)^2 Neither option P, option Q, option R or option S) work even though 4 options (P,Q,R or S) have the above properties like multiplication / squared exponents Thoughts ?
Keep in mind that it's a process of elimination. If you can identify that D is the most symmetrical answer choice for x and (1-x), you can either guess it and hope for the best (it's a very good guess, given what the GMAT sets out to test) or if you have time you can prove it by doing the algebra. Either way, I think the right move is to scan the answer choices and search for symmetry right off the bat.
Hi @Quant Reasoning - I also tried visualization at 2.00 as to my degrees of freedom. I too thought you could move QS up or down as long as it parallel to the the existing position of QS My question is the position of point U specifically. As you move QS up and down, how are you so sure that point U specifically has to remain in exactly the same position OR can point U also move left or right along with side QS ?
Great point. We know nothing about the position of U on the PT segment. Same goes for the position of Q on the RP segment when we evaluate statement (2) on its own. So that's another way to prove insufficiency for each of the statements on its own.
@@QuantReasoning Hi Avi - i think there is an issue with the visualiazation shown in the video In S1 --> At @2.00 - side QS moves up and down. As side QS moves up or down, Point U stays exactly the same In S2 --> At @4.00 - side SU moves up and down. As side SU moves up or down, Point Q stays exactly the same Howeever at @5.00 - @5.25 -> side SU moves up and down. As side SU moves up or down, Point Q IS ALSO moving. Point Q should stay the same.
@@jabhatta @5:00 I'm responding to a question about whether the diagram is drawn accurately. I was just using future slides (the ones I use @7:35 for combining the statements) to help me respond to that particular question. Side note: that visualization (of combining the statements) is still a valid visualization for each of the statements on its own - meaning it's one possible visualization among many.
Thank you Avi for your conducting Quant Reasoning Project, I really appreciate your work! Could you please elaborate second question regarding to external angles. which angle is external and which one is internal?
Are you GOD ??? Absolutely love the simple no paper approach...helps non quant people like me a lot
The concept of symmetry and "order does not matter" for the third question is inspiring! I wondered whether I really need to test all options algebraically for this kind of function question and now I see an efficient way. Thank you Avi!
You are spot on Avi. Solving questions using visualisation is definitely superior to solving questions using mindless algebra because this is what the exam is designed to test.
Really amazing!! Thank you Avi!
Amazing!!! It is super helpful. I think there is a need to repeat this idea from one of your videos that you want to take applicants away from that analytical mind, using a spreadsheet, to a more executive mind. You are doing a wonderful job and I wanna kindly ask those who like these tutorials to share them so that your words would be heard. Keep up the good job, Avi!!!
Hi Avi - from 19.40 - end of the video :
While I do agree on the insights :
a) multiplication renders the order irrelevant.
b) squaring makes sure which ever side of zero x lies, is irrelevant.
I am not sure even in that case, I would STILL be comfortable to pick D.
For example. If instead the function was : f(a) = f (a+1)
option P) (a)^2. (a+1)^2
option Q) (a)^2. (a-1)^2
option R) (a)^2. (1-a)^2
option S) (a-2)^2. (a)^2
Neither option P, option Q, option R or option S) work even though 4 options (P,Q,R or S) have the above properties like multiplication / squared exponents
Thoughts ?
Keep in mind that it's a process of elimination. If you can identify that D is the most symmetrical answer choice for x and (1-x), you can either guess it and hope for the best (it's a very good guess, given what the GMAT sets out to test) or if you have time you can prove it by doing the algebra. Either way, I think the right move is to scan the answer choices and search for symmetry right off the bat.
Hi @Quant Reasoning - I also tried visualization at 2.00 as to my degrees of freedom.
I too thought you could move QS up or down as long as it parallel to the the existing position of QS
My question is the position of point U specifically.
As you move QS up and down, how are you so sure that point U specifically has to remain in exactly the same position OR can point U also move left or right along with side QS ?
Great point. We know nothing about the position of U on the PT segment. Same goes for the position of Q on the RP segment when we evaluate statement (2) on its own. So that's another way to prove insufficiency for each of the statements on its own.
@@QuantReasoning Hi Avi - i think there is an issue with the visualiazation shown in the video
In S1 --> At @2.00 - side QS moves up and down. As side QS moves up or down, Point U stays exactly the same
In S2 --> At @4.00 - side SU moves up and down. As side SU moves up or down, Point Q stays exactly the same
Howeever at @5.00 - @5.25 -> side SU moves up and down. As side SU moves up or down, Point Q IS ALSO moving. Point Q should stay the same.
@@jabhatta @5:00 I'm responding to a question about whether the diagram is drawn accurately. I was just using future slides (the ones I use @7:35 for combining the statements) to help me respond to that particular question.
Side note: that visualization (of combining the statements) is still a valid visualization for each of the statements on its own - meaning it's one possible visualization among many.
Love your work man
You are awesome.. Thanks Avi..
Thank you Avi for your conducting Quant Reasoning Project, I really appreciate your work!
Could you please elaborate second question regarding to external angles. which angle is external and which one is internal?
PRS is an exterior angle to triangle QPR such that it’s equal to the sum of angles QPR + PQR
@@QuantReasoning Thank you!
You’re welcome!
Thank you very much. Your videos are awesome
it is always a different and really helpful perspective I get after watching your every video