Quant Question of the Day Chat

I think the answer should be A, however they say that’s incorrect.

b and d both are integers so both can only be equal to 1 or -1 if bd=1 so c=a, sufficient. However, b+d=3 is insufficient , we can check this with examples , b = 4 d =-1 , b+d =3 and b>d so c>a. But if b=1 and d=2, b+d = 3 but b<d so c<a. Please let me know if I missed something.

I think the answer should be E as both statement together doesnot give any concrete information about the relation between a and c even if we substitute the value of the respective numbers b and d

from (i) we get b = 1/d
or (b^2) = c/a (so we are not sure about the value of c/a which could be a fraction or a whole number (NOT sufficient)
from. (ii) we get b = 3-d
on substituting we get c/a = d/(3-d) which also doesn’t give a concrete value as the value of d is decisive (NOT sufficient)

On combining both we cannot find any exact value of d which could suffice a single condition

therefore both together not sufficient (E) should be the answer

but the question mentions that it is an integer

so it cannot be a fraction

The answer to above question is E only as correctly described by u guys.

I have a generic question. Is there any relationship between AM, GM, HM, mean and median?

U can decide the case/ situation and illustrate your opinion.

Yes, we have many questions on relationships between mean and median

and mode even sometimes

depending on question, any kind of relationship can be drawn out, but I have attempted multiple questions with mean, median and mode, specially in D.S

That’s great 👍. However, my question was on broader aspect.
Is there any relationship between AM GM HM mean and median

AM means arithmetic mean, G is geometric mean etc

Harmonic Progression is rarely ever tested on GMAT, atleast I’ve not seen in over 2 years

One relation that comes to mind is, "If numbers are in AP, then Mean = Median"

That is the one I was talking about too

It is not tested. You do not need to know the concept of harmonic mean Based on the questions I have seen.

I stand corrected. Apparently the new gym has focus does test harmonic mean 🥴

the-harmonic-mean-of-n-numbers-is-the-reciprocal-of-the-arithmetic-416989.html

I stand corrected. GMAT focus tests harmonic mean - above is an example from GMAT prep.

As was pointed out, I also have not seen it brought up much in the past.

How to solve these questions with common root

I got -1

E1) 3x^2 +ax +1=0
E2) 2 x^2 +bx +1=0

(E1 )- (E2) —-> x^2 +(a-b)x=0
—-> x=b-a
X found in (E1)
3(b-a)^2 + a(b-a) +1 =0
2a^2 -5ab+3b^2 +1= 0
2a^2 -5ab+3b^2 =-1

Sunday GMAT Quiz Starts at 10:30am ET / 9pm IST - Solve 30 Challenging Questions with Peers in Timed Conditions redirect.php?id=4zcwm3aon1

Hey will a recording be available of this

This one is on Youtube. So, the video should be accessible at the same link post the live session.

not if they decide to make it private later

Of course. Doesn’t typically happen though - making private is an exception rather than the rule, in this case (other such videos are still accessible).

Can someone please help with this solution