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# Quant Question of the Day Chat

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Re: Quant Question of the Day Chat [#permalink]
chetan2u wrote:
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. mchat.php?room_id=50050793

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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Re: Quant Question of the Day Chat [#permalink]
 Data Sufficiency Butler: April 2024 April 22 DS 1 DS 2
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Re: Quant Question of the Day Chat [#permalink]
 Problem Solving Butler: April 2023 April 22 PS 1 PS 2
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Re: Quant Question of the Day Chat [#permalink]
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 ?

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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Re: Quant Question of the Day Chat [#permalink]
poojaarora1818 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!

poojaarora1818, it is good to see you thinking of other students too.
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Re: Quant Question of the Day Chat [#permalink]
Rucha.Shukla wrote:
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 ?

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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Re: Quant Question of the Day Chat [#permalink]
Rucha.Shukla wrote:
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 ?

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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Re: Quant Question of the Day Chat [#permalink]
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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Re: Quant Question of the Day Chat [#permalink]
Rucha.Shukla wrote:
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 ?

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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Re: Quant Question of the Day Chat [#permalink]
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

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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Re: Quant Question of the Day Chat [#permalink]
Does anyone else want to try this question?
https://gmatclub.com/forum/two-bicycle- ... 28866.html
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Re: Quant Question of the Day Chat [#permalink]
 Data Sufficiency Butler: April 2024 April 23 DS 1 DS 2
­
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Quant Question of the Day Chat [#permalink]
 Problem Solving Butler: April 2023 April 23 PS 1 PS 2

­
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Re: Quant Question of the Day Chat [#permalink]
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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Re: Quant Question of the Day Chat [#permalink]
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

@Bunuel is it C?

Oh mistake average so x -> 1/60 min 1 seconds --> 9 seconds
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Re: Quant Question of the Day Chat [#permalink]
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Re: Quant Question of the Day Chat [#permalink]
Check the links for detailed solutions of these questions below.
1st question: at-a-recent-sale-harue-bought-various-numbers-of-5-types-of-school-416434.html

2nd question: a-certain-identification-code-consists-of-6-digits-each-of-which-is-416823.html

3rd question: if-x-y-0-which-of-the-following-must-be-negative-417148.html

4th question: if-5-integers-are-to-be-selected-at-random-and-without-replacement-425867.html

5th question: the-value-of-8-9-2-is-an-integer-what-is-the-greatest-in-417273.html

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

Hope this helps.
Re: Quant Question of the Day Chat [#permalink]
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