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HI karishma, i had a doubt in on question from Veritas prep book;

30% of consumers like only product A, and for every consumer that likes only product B, 3 also like product A. If 18% of consumers like neither product, what
percentage likes both?

Solution
Again draw out the diagrams, paying special attention to the ratio wording (for every consumer that likes B only, 3 like both). Since 48 of the 100 consumers
are accounted for by only A and NEITHER, then 3x + x must equal 52. 4x = 52 and x = 13, so 3x = 39. Both = 39% consumers.

I didnt get the solution; how it inferred the bolded portion?
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Montyyy95
HI karishma, i had a doubt in on question from Veritas prep book;

30% of consumers like only product A, and for every consumer that likes only product B, 3 also like product A. If 18% of consumers like neither product, what
percentage likes both?

Solution
Again draw out the diagrams, paying special attention to the ratio wording (for every consumer that likes B only, 3 like both). Since 48 of the 100 consumers
are accounted for by only A and NEITHER, then 3x + x must equal 52. 4x = 52 and x = 13, so 3x = 39. Both = 39% consumers.

I didnt get the solution; how it inferred the bolded portion?

Hey Montyyy95:

"for every consumer that likes only product B, 3 also like product A"

means for every 1 consumer that liked ONLY B, there are 3 consumers that liked A 'ALSO' which means that these 3 liked B as well as A.
This means ratio of
(ONLY B) : (B and A) = 1 : 3

Hope this clarifies! Let me know.
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nikitamaheshwari
Hi karishma

If you have articles on Speed/Distance/ Time, Work/ Rate, Geometry/ Coordinate Geometry and Probability, please let me know.
Also, if you have collated lists of all your articles - please do share. - Bunuel - If you can help with the same.

Thanks a lot.


Hey nikitamaheshwari:

Please check my signature below.
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Montyyy95
HI karishma, i had a doubt in on question from Veritas prep book;

30% of consumers like only product A, and for every consumer that likes only product B, 3 also like product A. If 18% of consumers like neither product, what
percentage likes both?

Solution
Again draw out the diagrams, paying special attention to the ratio wording (for every consumer that likes B only, 3 like both). Since 48 of the 100 consumers
are accounted for by only A and NEITHER, then 3x + x must equal 52. 4x = 52 and x = 13, so 3x = 39. Both = 39% consumers.

I didnt get the solution; how it inferred the bolded portion?

Hey Montyyy95:

"for every consumer that likes only product B, 3 also like product A"

means for every 1 consumer that liked ONLY B, there are 3 consumers that liked A 'ALSO' which means that these 3 liked B as well as A.
This means ratio of
(ONLY B) : (B and A) = 1 : 3

Hope this clarifies! Let me know.

Thanks a lot karishma (glad to know how the word also made the difference!!)
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VeritasKarishma
tilak123- I am kicking off this post as per your request.

This is a compilation of all links to the "Made Easy" series. Bunuel has already compiled links to all my posts on specific topics. I will provide links to those compilations:
Statistics Made Easy
Inequalities Made Easy
Sequences Made Easy
Combinatorics Made Easy
Weighted Avgs and Mixtures Made Easy


these links are very helpful, thank you!
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Hi karishma
https://gmatclub.com/forum/10kg-of-a-mi ... 82423.html
could you please explain this question :)
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indu1954
Hi Karishma,
A rectangular solid has the dimension of 24 by 20 by 18. If John will wrap the rectangular solid in a heat reserving material with uniform width of 1, what is the volume of the heat reserving material?
A. 2,600 B. 2,700 C. 2,800 D. 2,900 E. 3,000

Can you please send me the source of this question and a screenshot?

When you wrap the solid in material of width 1, every dimension of the solid increases by 2.
The dimensions become 26 by 22 by 20.
The dimensions of the actual solid are 24 by 20 by 8.

So volume of the material = 26*22*10 - 24*20*8 = 4*10*(13*11 - 12*8) = 1880


-----------------------------------------------------------------------
isn't it 26*22*20 - 24*20*18 = 20*(26*22-14*18) = 2800 ?
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VeritasKarishma
indu1954
Hi Karishma,
A rectangular solid has the dimension of 24 by 20 by 18. If John will wrap the rectangular solid in a heat reserving material with uniform width of 1, what is the volume of the heat reserving material?
A. 2,600 B. 2,700 C. 2,800 D. 2,900 E. 3,000

Can you please send me the source of this question and a screenshot?

When you wrap the solid in material of width 1, every dimension of the solid increases by 2.
The dimensions become 26 by 22 by 20.
The dimensions of the actual solid are 24 by 20 by 8.

So volume of the material = 26*22*10 - 24*20*8 = 4*10*(13*11 - 12*8) = 1880


-----------------------------------------------------------------------
isn't it 26*22*20 - 24*20*18 = 20*(26*22-14*18) = 2800 ?

Ah yes! Took the dimensions as 24 by 20 by 8 instead of 24 by 20 by 18.
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Question:
The 10 students in a history class recently took an examination. What was the maximum score on the examination?

(1) The mean of the scores was 75.
(2) The standard deviation of the scores was 5.

Quote

Hi VeritasKarishma

I have a question. If I were to obtain the maximum possible score with this SD, I would consider for a set of values with all equal to mean except 2 to meet the SD Criteria.

For eg. {75,75,...75, x, y}

This is because I would like to use the SD between x and y and keep x, y equidistant from the mean 75, so that the mean of the whole set is maintained.

In that case I will get by SD formula 5^2 = {0+0+0+0+..+(x-75)^2 + (y-75)^2}/10
Since i take distance of x from mean = distance of y from mean to maintain set mean
i get (x-75)^2 = (y-75)^2 = 2(x-75)^2

Therefore 250= 2(x-75)^2
x-75 = Root(125)
x = 75+/- 5Root(5). = 86.18 and 63.81

I suppose this is the maximum "possible" value for x ?
Is there a difference between max "possible" value for x and maximum value of x.
Since maximum value of x will vary by sets {different sets will have their own maximas} but maximum possible value will not.

I say C. Why E ?

Kindly help clear if i am wrong.
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kagrawal16
Question:
The 10 students in a history class recently took an examination. What was the maximum score on the examination?

(1) The mean of the scores was 75.
(2) The standard deviation of the scores was 5.

Quote

Hi VeritasKarishma

I have a question. If I were to obtain the maximum possible score with this SD, I would consider for a set of values with all equal to mean except 2 to meet the SD Criteria.

For eg. {75,75,...75, x, y}

This is because I would like to use the SD between x and y and keep x, y equidistant from the mean 75, so that the mean of the whole set is maintained.

In that case I will get by SD formula 5^2 = {0+0+0+0+..+(x-75)^2 + (y-75)^2}/10
Since i take distance of x from mean = distance of y from mean to maintain set mean
i get (x-75)^2 = (y-75)^2 = 2(x-75)^2

Therefore 250= 2(x-75)^2
x-75 = Root(125)
x = 75+/- 5Root(5). = 86.18 and 63.81

I suppose this is the maximum "possible" value for x ?
Is there a difference between max "possible" value for x and maximum value of x.
Since maximum value of x will vary by sets {different sets will have their own maximas} but maximum possible value will not.

I say C. Why E ?

Kindly help clear if i am wrong.

kagrawal16 - Yes. The question is asking you for 'the maximum score on the examination. So what was the maximum that anyone scored on the exam?
What you have found is the maximum possible score given these constraints. 86.18 may be the maximum possible but is it necessary that someone scored this? No.
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Hey VeritasKarishma

Thanks a lot. Request your help with this post too on the Venn Diagram Question:

https://gmatclub.com/forum/the-table-ab ... l#p2632733

I have tagged you.

Tia
Kanishka
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Hey VeritasKarishma

Thanks a lot. Request your help with this post too on the Venn Diagram Question:

https://gmatclub.com/forum/the-table-ab ... l#p2632733

I have tagged you.

Tia
Kanishka
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Hi karishma I had a question I was wondering if you could help me with it, it’s about difference of two squares.

The Q asks for the result of (4h^2 - 64) / (h+4).

The correct answer is given as 4h-16 and I understand the explanation.

However I don’t understand why instead of factorising by 4 like in the solution, we cannot simply use the current form of the equation and change 4h^2-64 into (2h-8)(2h+8) rather than factorising by 4 first. It doesn’t give me the same answer so must be wrong and I am not sure why.

Thanks
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Kp0027
Hi karishma I had a question I was wondering if you could help me with it, it’s about difference of two squares.

The Q asks for the result of (4h^2 - 64) / (h+4).

The correct answer is given as 4h-16 and I understand the explanation.

However I don’t understand why instead of factorising by 4 like in the solution, we cannot simply use the current form of the equation and change 4h^2-64 into (2h-8)(2h+8) rather than factorising by 4 first. It doesn’t give me the same answer so must be wrong and I am not sure why.

Thanks

It isn't wrong and it does give you the same answer.

(2h-8)(2h+8) / (h + 4)

(2h-8)*2*(h+4) / (h+4)

(cancel off h+4)

(2h - 8)*2

4h - 16
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kagrawal16
Hey VeritasKarishma

Thanks a lot. Request your help with this post too on the Venn Diagram Question:

https://gmatclub.com/forum/the-table-ab ... l#p2632733

I have tagged you.

Tia
Kanishka

Done.
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Dear Karishma,

Can you please help me figure out if my conclusions about conditional reasoning on GMAT Quant are correct or not. I mentioning some specific concepts here but I am hoping for a holistic answer.

It seems to me that conditional reasoning is everywhere on GMAT. It's basically the fundamental reasoning style that is needed throughout the test.

DS questions are all about conditional reasoning because we are essentially asked to determine whether the statements are "sufficient" to answer the question with certainty/necessarily true.

On PS:

E.g. "must be true" questions are essentially asking us to find the "necessary condition", so to make a logical deduction from the given information. And "could be true" questions ask us to find one or more "sufficient conditions" from which the required statement in the prompt must follow (necessary condition).

Same goes for many other PS questions. Even if we are not explicitly asked to determine what "must or could be true", we still have to determine what must follow from the given (e.g. properties, constraints etc) or what could be true given a requirement (e.g. come up with possibilities in the from of cases/scenarios).

So my overall conclusion is that when we ask "What could be true? What are possible cases that make this statement true? What do I need to consider etc. - we are determining the sufficient condition(s) and when we ask "What does this mean? What must be true?" - we are determining the necessary condition(s).
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