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Quant Question of the Day 6 members online out of 124274

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guys can anyone make a separate chat for GRE

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y=(x^2-x)(x-2)=x(x-1)(x-2). So, y will be 0 when x=0,1, and 2, that is the curve will cut graph at 0, 1 and 2. Only C and D left........... Next, when x>2, all three x, x-1 and x-2 will be positive, and product of three positive is positive. Thus after cutting x-axis at 2, the line should give y as positive always..... OR You could just take x as 3, and see that y=3*1*2=6. D gives you positive value while C gives a negative value for y at x=3...answer is D

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for rest GMAT students, Alex these questions are confusing and not important

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aayushimehta12 is correct. The questions could be posted in GRE forum.

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Thank you, because the entire time I am looking at questions and being confused is this are and gmat, am I supposed to know the answer or not

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so Nitish and Alex, requesting you to please post these questions elsewhere

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Just opened a new chat on GRE. Please post Quant questions/queries here https://gmatclub.com/forum/mchat.php?ro ... t73WUjV8wf

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Sorry for that actually my xm is near

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HarshR9 wrote:

My attempt. Hope this is correct.

i am also getting 91

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Check out these two new GMAT Club tests questions on Absolute Values:
https://gmatclub.com/forum/if-x-and-y-a ... 28841.html
https://gmatclub.com/forum/if-x-and-y-a ... 28840.html

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One more new GMAT Club Tests question on Absolute Values:

https://gmatclub.com/forum/if-a-b-b-c-2 ... 28843.html

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Thank you Alex

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Another two new GMAT Club Tests questions on Absolute Values:
https://gmatclub.com/forum/if-x-y-1-wha ... 28847.html
https://gmatclub.com/forum/if-x-y-0-wha ... 28846.html

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chetan2u, Just for your information that nobody is there to respond in GRE sub-forum or the GRE prep club. I have checked myself. So, I request you to pls allow GRE students to post their queries here itself till the time they won’t get any help from the Gre Sub-forum. So that they won’t get lost. Please consider my request.

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I am really confused here, isn’t both 2 & 6 are the correct answer ?

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Rangerwarrior wrote:

I am really confused here, isn’t both 2 & 6 are the correct answer ?

Rangerwarrior, you don’t require to solve the equation to get the answer. On right side you have a square root,which cannot be NEGATIVE. So, left side also cannot be negative. But x as 2 gives 2-5 or -3. Similarly from x-5 >=0 means x can be 5 or 6. x as 5 will give 0 on the left side but the right side will not be 0(you can check the unts digit only). Answer x=6

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poojaarora1818, sure put your question here as we are here to help you all. But do post it in the new chat opened for the purpose. It will become active only when we start shifting our questions there. https://gmatclub.com/forum/mchat.php?room_id=50050793

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chetan2u wrote:

chetan2u, Thank you for your positive response. But let me tell you that I am not a GRE student. I am a Gmat student. I am doing this because I can understand the pain of a student who really struggles when they seek replies for their respective quieries. That’s it. Thank you!

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Data Sufficiency Butler: April 2024
April 22	DS 1	DS 2

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Problem Solving Butler: April 2023
April 22	PS 1	PS 2

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Howdy folks! Hope everyone’s prep is going fine

I wanted to know if there’s a more efficient way of solving below without listing all the terms (TIA!): Sn is a sequence such that it’s nth term is sum of first npositive integers. Tn is a sequence such that its first 2 terms are 1 and starting from the 3rd term, each term is the sum of the previous 2 terms. HOw many numbers less than 100 belong to both Sn and Tn ?

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If this question is already discussed somewhere can someone share link pls ? I searched online but found questions where first 3 terms or 6th/nth term is asked..

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poojaarora1818 wrote:

poojaarora1818, it is good to see you thinking of other students too.

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Rucha.Shukla wrote:

Howdy folks! Hope everyone’s prep is going fine

Could you please post entire question with the OA and the options exactly as seen in the original source? Also, could you please tell the source? Thank you!

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Rucha.Shukla wrote:

Howdy folks! Hope everyone’s prep is going fine

I don’t think there would be a better approach. Even if there’s, that would be complicated and time consuming. Below 100, there is 14 terms in series Tn. So relatively easy

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Tn is a fibbonnaci series, so there would be 11 terms less than 100
But the question is asking how many terms would belong in both Tn and Sn, which would be 4 terms (1,3,21,55)

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Rucha.Shukla wrote:

Howdy folks! Hope everyone’s prep is going fine

May not be the most elegant but a faster method could be knowing what Tn is looking for. It is talking of sum of first n positive integers, so nth term is n(n+1)/2, that is it is product of two consecutive numbers divided by 2. So, scan the Sn for these type of numbers. Sn = 1,1,2,3,5,8,13,21,34,55,89.........1*2/2 =1 , so 1...2*3/2=3, so 3....6*7/2=21, so 21.....7*8/2=28, not there...10*11/2=55, so 55

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On a radio call-in show, the 6th caller and every 6th caller thereafter were given a T-shirt. Also, the 15th caller and every 15th caller thereafter were given movie tickets. A total of 78 people called the show, all at different times. How many of the callers were given neither a T-shirt nor movie tickets?
___ callers

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Last week, each employee at a small company, except for one employee, made a donation to a certain charity. The average (arithmetic mean) amount of the donations was $39 per person. This week, after the remaining employee made a donation, the average amount of the donations increased to $40 per person. If the remaining employee’ s donation was between $54 and $61, which of the following could be the total number of employees at the company?

Indicate all such numbers.
14,17,20,23,26

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Does anyone else want to try this question?
https://gmatclub.com/forum/two-bicycle- ... 28866.html

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Data Sufficiency Butler: April 2024
April 23	DS 1	DS 2

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April 23
PS 1
PS 2

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I think it’s C we can’t find exact time for 6 with A cuz it’s ratio together we can find time

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1rotation/xmin 1rotation/3xmin -> 40rotation/1min so we can get x =1/30 so A 10rotation/1min B 30rotation/1min 6rotation/20rotation/1min = 3/10min -> 18seconds

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@Bunuel is it C?

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Oh mistake average so x -> 1/60 min 1 seconds --> 9 seconds

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Can I get help please

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Check the links for detailed solutions of these questions below.
1st question: https://gmatclub.com/forum/at-a-recent- ... 16434.html

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2nd question: https://gmatclub.com/forum/a-certain-id ... 16823.html

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3rd question: https://gmatclub.com/forum/if-x-y-0-whi ... 17148.html

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4th question: https://gmatclub.com/forum/if-5-integer ... 25867.html

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5th question: https://gmatclub.com/forum/the-value-of ... 17273.html

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Try searching a question in the respective forum before posting in the future. That could save you time.

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Hope this helps.

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Can someone please help me with this question? https://gmatclub.com/forum/two-bicycle- ... l#p3387223

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Not sure if the given solutions are correct

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akanksha14_11 wrote:

Can someone please help me with this question? https://gmatclub.com/forum/two-bicycle- ... l#p3387223

I think, it is option C only.
Take choice A, it states that wheel B rotates 3times faster than wheel A.
With choice A alone, we cannot come to the conclusion in how many seconds wheel B completes 6 times more rotations than wheel A.
So eliminate A & D options.

Take choice B, it states that average revolution of both the wheels are 40 / minute.

So , average revolution of wheel (A + B)/2 = 40
So max possible is A+B = 80 revolutions / minute.
This is also not helpful

But if we substitute choice A , i.e Wheel B has rate of rotation of 3 times than wheel B
Wheel A’s rate of rotation = B/3

Sub, that rate in Choice B ,

A+B = 80
(B/3)+B=80
B+3B=240
B=60 revolutions per minute
Therefore, Wheel A’s rotation is 20 rotations per minute.

We can therefore deduce that after 9 seconds, Wheel A would have rotated 3 times whereas 9 revolution by wheel B, therefore there’s a difference of 6 revolutions between both the wheel.

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So option C

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akanksha14_11, Hi!
What made you feel confused regarding this question?

https://gmatclub.com/forum/two-bicycle- ... l#p3387223 ?

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I don’t think option A is alone , sufficient

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Because they are asking specifically in numerics

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Option C

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can someone helo in this please? am getting 1/6

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Source please?

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practice exam 4

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Red =1330
Blue=2660
P(blue)=2660/8000

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Approximately 1/3

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twice as many blue as red means red=2blue or blue=2 red

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B=2r

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Blue= 2 Red

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A lottery box contains 8,000 tickets, each of which is red or blue or green: b + g + r = 8000
The box contains twice as many blue tickets as red tickets b = 2r
The number of green tickets is 20 more than the number of red and blue tickets combined: g - 20 = b + r

The question ask to find the approximate value of b/8,000.

Substituting g - 20 = b + r into b + g + r = 8000 we get g + (g - 20) = 8000, which gives g = 4,010.
Substituting g = 4,010 into g - 20 = b + r we get 4,010 - 20 = b + r, which gives r = 3,990 - b.
Substituting r = 3,990 - b into b = 2r we get b = 2(3,990 - b), which gives b = 2,660.

Therefore, b/8,000 = 2,660/8,000 = 133/400 ≈ 1/3.

Answer: A.

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Check here: https://gmatclub.com/forum/a-lottery-bo ... l#p3388007

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can someone help me pls, can’t figure out the mistake I am making

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Take 100 employees at this company. 60 participate in the retirement plan. 20% of this 60 also participate in the health plan. So 12 people participate in the retirement and health plan.

48 people in total signed up for health plan. Out of them, 12 also participate in retirement. So 12/48 -> 1/4

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Bunuel, can you please provide solution for this question ?

https://gmatclub.com/forum/a-share-of-c ... 28317.html

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is it because the "trading volume" is given in A that the answer is B and not D, since trading volume is always less than total volume of a company’s shares ?

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Of the employees at a certain company, 60 percent participate in the company’s retirement plan; and of those employees, 20 percent also participate in the company’s health plan. If 48 percent of the company’s employees participate in its health plan, what fraction of those employees also participate in the company’s retirement plan?

A. 1/4
B. 1/3
C. 1/2
D. 2/3
E. 3/4

20% of 60%, thus 12% of the employees participate both in the retirement plan and health plan. The question asks what fraction of the employees participating in the health plan, participate in both plans. Since we got that 12% participate in both, then the answer is both/health = 12/48 = 1/4.

Answer: A.

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divyansh843, is this a GMAT Prep Focus question? Which test? Thank you!

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Data Sufficiency Butler: April 2024
April 24	DS 1	DS 2

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Problem Solving Butler: April 2023
April 24	PS 1	PS 2

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is this an OG question?

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Data Sufficiency Butler: April 2024
April 25	DS 1	DS 2

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Problem Solving Butler: April 2023
April 25	PS 1	PS 2

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Bunuel do you have the link for

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all butler questions ?

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[*] Data Sufficiency Butler
Problem Solving Butler
[*] Critical Reasoning Butler
[*] Sentence Correction Butler
[*] Reading Comprehension Butler
[*] Integrated Reasoning Butler

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Baye’s theorem is all you need

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Data Sufficiency Butler: April 2024
April 26	DS 1	DS 2

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Problem Solving Butler: April 2023
April 26	PS 1	PS 2

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Bunuel wrote:

[*] Data Sufficiency Butler Problem Solving Butler [*] Critical Reasoning Butler [*] Sentence Correction Butler [*] Reading Comprehension Butler [*] Integrated Reasoning Butler

going to pin once again to keep it in recent chats

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https://gmatclub.com/forum/for-integers ... 29065.html

Can anyone help me with this question?

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devashish2407 wrote:

https://gmatclub.com/forum/for-integers ... 29065.html Can anyone help me with this question?

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

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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.

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devashish2407 wrote:

https://gmatclub.com/forum/for-integers ... 29065.html Can anyone help me with this question?

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

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but the question mentions that it is an integer

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so it cannot be a fraction

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

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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.

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

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and mode even sometimes

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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

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

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AM means arithmetic mean, G is geometric mean etc

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

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

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That is the one I was talking about too

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https://gmatclub.com/forum/the-harmonic ... 16989.html

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

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

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