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Re: Recent estimates predict that between 1982 and 1995 the greatest incre [#permalink]
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The question asks for the statement that CAN be supported by the passage.

Note that "greatest increase" means largest in absolute number, not largest percentage increase. We also know that the share of employees in low-paying service jobs will not increase, while the share of the high-paying service employees will rise.

A) If in 1982 there were a total of 100M emplyees and 50M worked in low-paying service jobs and 1M in high-paying service jobs, while in 1995 there were 200M employees and 100M worked in low-paying service jobs and 10M in high-paying service jobs, the absolute increase in low-paying service employees would be 100M abeit with the same share of the total epmloyees, while the absolute increase in high-paying service jobs would be only 9M, but with a tenfold increase in the share of the total eployees. If the number of low-paying workers in 1982 were lower than the number of high-paying workers, then an increase in the total share in the latter would lead to an increase in absolute terms larger than the one attributable to low-paying jobs. Right answer.

B) If it were true, it would contraddict the passage. Wrong answer.

C) Nothing is said about nonservice occupations. Wrong answer.

D) Nothing is said about transfers between groups. Wrong answer.

E) Since low-paying occupations will maintain their share, the rate of growth must be the same as the one of the rate of employment. Wrong answer.


My answer is A
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Re: Recent estimates predict that between 1982 and 1995 the greatest incre [#permalink]
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I think I went bald on this one :D

Could get this one after a fair bit of thought
C, D, and E are out straight away for we don't have enough info to support those choices

the race is between A and B and I chose B initially, the correct answer seems to be A

My reasoning:

1982: 100 employees, low paying = 25, high paying = 50, others = 25 (note: it is not mentioned that high paying and low paying are the only categories)
so share of low paying = 25 / 100 = 25%
1995: 200 employees, so low paying must be = 50 in order to maintain the 25% share (50/200)
Now this would mean that the absolute increase in low paying is 50 - 25 = 25 and it is given that no other category had such an absolute increase.
So, the absolute increase in high paying would be <25 ==> in 1995 the high paying would be between 50 and 74, let it be max = 74. Now if you look at the other category it has to increase substantially above absolute increase of 25 in order for the sum to be 200
ie. 50 + 74 + 76 but that increase would contradict the information provided. Hence B is wrong

Why option A?

1982: 100 employees, low paying = 50, high paying = 25, others = 25, share of low paying = 50 %
1995: 200 employees, low paying = 100, high paying = 50, others = 50, share of low paying = 50%

Absolute increase in low paying from 1982 to 1995 = 100 - 50 = 50
The other categories must have absolute increase of less than 50. This is only true if in 1982 low paying employees > no of high paying employees.

Try it with other set of numbers while practicing this one. Hope it helps!
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Re: Recent estimates predict that between 1982 and 1995 the greatest incre [#permalink]
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Hi mikemcgarry

Below is my interpretation of the problem:

1982 Low= 40, High= 34, Others=26 .
Percentage of low is 40% and of high is %34.
1995- Low 80, High 70, Others 50. total 200. Percentage of low = 40% (constant). % of high 35% (higher).
So, in 1982 more people were working in low-paying service occupations than were working in high-paying service occupations..
Whereas in 1995, number of high is less than the number of low ones.
Basis this I am obtaining A.

Can you please help me identify the flaw in my reasoning ?

Thanks :)
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Re: Recent estimates predict that between 1982 and 1995 the greatest incre [#permalink]
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Poorvasha wrote:
Hi mikemcgarry

Below is my interpretation of the problem:

1982 Low= 40, High= 34, Others=26 .
Percentage of low is 40% and of high is %34.
1995- Low 80, High 70, Others 50. total 200. Percentage of low = 40% (constant). % of high 35% (higher).
So, in 1982 more people were working in low-paying service occupations than were working in high-paying service occupations..
Whereas in 1995, number of high is less than the number of low ones.
Basis this I am obtaining A.

Can you please help me identify the flaw in my reasoning ?

Thanks :)

Dear Poorvasha,

I'm happy to respond. :-)

My friend, this is a deeply flawed question. In trying to create a tricky must-be-true questions, the author created a question with more possibilities that he himself was able to imagine. In fact, NOTHING must be true, given this scenario, and a few of the answers could be true. This is a completely train wreck of a question and should be ignored.

Don't automatically assume that, simply because some company says "this is a high quality question," that it actually is. Many many GMAT verbal practice questions are pure trash. You have to be very discerning about the source of the question. Read reviews and testimonials. Caveat emptor.

Here's a high quality practice question:
FANTOD programming

Does all this make sense?
Mike :-)
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Re: Recent estimates predict that between 1982 and 1995 the greatest incre [#permalink]
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Definitions:
\(L\): Number of Low Paying Jobs in 1982
\(H\): Number of High Paying Jobs in 1982
\(a\): gain of low-paying jobs such that \(a L\) is the number of low paying jobs in 1995
\(b\): gain of high-paying jobs such that \(b H\) is the number of high paying jobs in 1995
\(T\): total number of jobs in 1982.

Applying the conditions:
1) Since Low paying jobs ".. will not increase its share of total employment," the total number of employees must also increase by at least \(a\) to become \(aT\)

2) The text says that "category of high-paying service occupations will increase its share"
In other words \(bH/aT > H/T\), hence \(b>a\)

3)Also, since "the greatest increase in the number of people employed will be in the category of low-paying service occupations.", the number of employees increases more for low-paying jobs than for high-paying jobs: \(aL-L>bH-H\)
Rearranging \(L/H > (b-1)/(a-1)\).
Solving:
Combining 2 and 3: \(b>a\) or \(b-1>a-1\) or \((b-1)/(a-1) > 1\), one can conclude that \(L/H > 1\).
Or \(L > H\), which is exactly answer choice A.
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Re: Recent estimates predict that between 1982 and 1995 the greatest incre [#permalink]
Hi GMATNinja, please could explain the difference between A and B?
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Re: Recent estimates predict that between 1982 and 1995 the greatest incre [#permalink]
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davidbeckham wrote:
Hi GMATNinja, please could explain the difference between A and B?


Hi

Let me try to address your query.

Let us denote number high paying service jobs by H and low paying service jobs as L. Let us also denote their corresponding years within parentheses. So H (1995) would mean number of high paying service jobs in the year 1995.

The stimulus tells us that L (1995) - L (1982) will be the largest among all categories of jobs, hence also including H.
It also tells us that L (1995) will form the same proportion of total jobs in 1995 as L (1982) did in 1982.
Finally, we are told that H (1995) as a proportion of total jobs in 1995 will be greater than H (1982) as a proportion of total jobs in 1982.

Now let us come to the answer options (A) and (B).

(A) states L (1982) > H (1982). This is clearly true, since L has increased the maximum without improving its share of total jobs, but as a proportion of itself, H should have increased by more than L (since only then it can increase its own share of total jobs as stated in the stimulus).
(B) states H (1995) > L (1995). This is incorrect - simple numerical values can be plugged in for L, H to verify this.

Hope this helps.
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Re: Recent estimates predict that between 1982 and 1995 the greatest incre [#permalink]
note: argument says share of L doesn't increase which means it could have stayed same or reduced

1. if share stayed same
share of L = L/H+L
now,

if ratio was same, change in L will be equal to change in (H+L)

that is if L increased by 20%, (H+L) also increased 20% which means H must also increase by 20%

L/H+L = 1.2L/1.2H+1.2L=1.2L/1.2(H+L)=L/H+L

now increase in L is the highest in 1995
so
02L>0.2H
or L>H

but note in this case share of H in 1995 would be

1.2H/1.2(H+L)=H/H+L= share in 1982, which is against our argument

which means share of L must have reduced and cannot be the same

2. If share of L reduced,

initially in 1982 share of L = L/H+L
similarly share of H = H/H+L

finally in 1995
share of L = 1.2 L/1.3H+1.2L - share of L reduce even though number inc by 20 percent
similarly share of H = 1.3H/1.3H+1.2L share of H increases
.2L>0.3H or L>1.5H

Hence option A
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Re: Recent estimates predict that between 1982 and 1995 the greatest incre [#permalink]
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