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Are at least 10 percent of the people in Country X who are

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Are at least 10 percent of the people in Country X who are 65 years old or older employed?

(1) In country X, 11.3 percent of the population is 65 year old or older
(2) In country X, of the population 65 year old or older, 20 percent of the men and 10 percent of the women are employed
[Reveal] Spoiler: OA

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S1 - 11.3% provided, but not sure about how many are employed - insufficient
S2 - Out of all 65 yrs or older, 20% Men and 10% Women are employed, but overall how many are there 65 yrs or older? - insufficient
Together - 11.3 from S1 given, 30% from S2 are employed 65yrs or older (M + W). So, 30% of 11.3 < 10% - sufficient
Answer: C
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Should be B:
Stat 1: doesnt help by itself as it does not give information about employment.

Stat 2: says that at least 10% of man and woman above 65 years of age are employed, which is sufficient to answer the questions being asked. Assuming that Country X has only man and woman.

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Re: At least 10 percent of the people in Country X who are 65 [#permalink]

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enigma123 wrote:
At least 10 percent of the people in Country X who are 65 years old or older employed?
(1) In country X, 11.3 percent of the population is 65 year old or older
(2) In country X, of the population 65 year old or older, 20 percent of the men and 10 percent of the women are
employed

Any idea how to solve this please?


Question: is at least 10% of some particular group of people employed? (Don't let the phrase "of the population 65 year old or older" confuse you, refer to it as to some particular group.)

(1) This particular group composes 11.3% of total population. Clearly insufficient, as no info about employment rates in this group.

(2) 20% of the men in this group and 10% of the women in this group are employed. No matter how many men and women are in this group, more than 10% will be employed. This is because the weighted average of 2 individual averages (10% and 20%) must lie between these individual averages, so percent of employed people in this group is between 10% and 20%. Sufficient.

Answer: B.

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we have been asked "from the group of people who are >=65 yrs" ; are 11.3% employed

statement 1
11.3 percent of total population is >=65; still nothing is given about how many people out of these are employed; insufficient

statement 2
of the people who are >=65, 20% men and 10% women are employed
now assuming 100 people out of which 50 are >=65 yrs
out of these 50 say 30 are men & 20 are women
i.e. 6 men & 2 women are employed =8 (employed) out of 50 (of the group >=65)
which is 16% > 11.3%
for any assumed value we will have the % greater than 11.3; sufficient

hence B

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Re: At least 10 percent of the people in Country X who are 65 [#permalink]

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(St. # 1) is alluring. But it doesn't tell about the employment rate of that that specific demographic group. Insufficient.

(St. # 2) At the first glance, the statement seems insufficient. But, if you look at it critically (possibly, once again) you will see this: Even if there is no MAN in the in that specific demographic group, 10% WOMEN are employed i.e. 10% of that population is employed. And, if any MAN is added to that group, the rate will be more than 10%. Sufficient.

So, the answer is B.

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Re: Are at least 10 percent of the people in Country X who are [#permalink]

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(1) insuff

(2) 20/100 M + 10/100F >= 10/100(M+F) ? Yes, because 20M + 10F >=10M +10F --> 20M>=10M

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Re: Are at least 10 percent of the people in Country X who are [#permalink]

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New post 25 Nov 2014, 06:54
Quote:
Stat 2: says that at least 10% of man and woman above 65 years of age are employed, which is sufficient to answer the questions being asked. Assuming that Country X has only man and woman.


AND... Assuming that Country X has at least 1 man!

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Re: Are at least 10 percent of the people in Country X who are [#permalink]

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New post 25 Nov 2014, 13:31
Bunuel wrote:
enigma123 wrote:
At least 10 percent of the people in Country X who are 65 years old or older employed?
(1) In country X, 11.3 percent of the population is 65 year old or older
(2) In country X, of the population 65 year old or older, 20 percent of the men and 10 percent of the women are
employed

Any idea how to solve this please?


Question: is at least 10% of some particular group of people employed? (Don't let the phrase "of the population 65 year old or older" confuse you, refer to it as to some particular group.)

(1) This particular group composes 11.3% of total population. Clearly insufficient, as no info about employment rates in this group.

(2) 20% of the men in this group and 10% of the women in this group are employed. No matter how many men and women are in this group, more than 10% will be employed. This is because the weighted average of 2 individual averages (10% and 20%) must lie between these individual averages, so percent of employed people in this group is between 10% and 20%. Sufficient.

Answer: B.

Also discussed here: gmat-prep-ds-93371.html



Hi bunuel,
i approached it like this;

A is clearly insuff, hence not writing anything about statement A.
let no. of people aged 65 or above = x;
we need to find if number of people employed(aged 65 or above) >= x/10
no of men = m
no. of women = x-m
20/100*m + 10*100(x-m) = total no of ppl employed
=> m/5 + x/10 - m/10
=> m/10+x/10
=>(x+m)/10
since we were reqd to find if number of ppl employed were >= x/10
we get that using this expression i.e, (x+m)/10, which says that number of ppl employed is at least 10 percent.

plz confirm my approach.

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Re: Are at least 10 percent of the people in Country X who are [#permalink]

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Bunuel wrote:
enigma123 wrote:
At least 10 percent of the people in Country X who are 65 years old or older employed?
(1) In country X, 11.3 percent of the population is 65 year old or older
(2) In country X, of the population 65 year old or older, 20 percent of the men and 10 percent of the women are
employed

Any idea how to solve this please?


Question: is at least 10% of some particular group of people employed? (Don't let the phrase "of the population 65 year old or older" confuse you, refer to it as to some particular group.)

(1) This particular group composes 11.3% of total population. Clearly insufficient, as no info about employment rates in this group.

(2) 20% of the men in this group and 10% of the women in this group are employed. No matter how many men and women are in this group, more than 10% will be employed. This is because the weighted average of 2 individual averages (10% and 20%) must lie between these individual averages, so percent of employed people in this group is between 10% and 20%. Sufficient.

Answer: B.

Also discussed here: gmat-prep-ds-93371.html


sorry.....I didnot understand Statement2.
of the population 65 year old or older -> 20% men and 10% women
But if population 65 year old or older is only 10% of entire population ?
I am unable to understand here

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Re: Are at least 10 percent of the people in Country X who are [#permalink]

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enigma123 wrote:
Are at least 10 percent of the people in Country X who are 65 years old or older employed?

(1) In country X, 11.3 percent of the population is 65 year old or older
(2) In country X, of the population 65 year old or older, 20 percent of the men and 10 percent of the women are employed


Question: Of the people who are 65+ yrs old, are at least 10% employed?
So say the population is 100, if 20 are 65+ yrs old, the question is that are at least 10% of them (i.e. 2 people) employed?

(1) In country X, 11.3 percent of the population is 65 year old or older
Doesn't tell us anything about employment. Not sufficient.

(2) In country X, of the population 65 year old or older, 20 percent of the men and 10 percent of the women are employed
So this statement talks about only the population which is 65+ yrs old. It says that of those people, of all the men, 20% are employed and of all the women, 10% are employed. So if you take the population of all 65+ yrs old people, can we guess what the employment rate is? It depends on what percent of 65+ people are men and what percent are women. But is there a range in which it must lie? Yes, the rate of employment of all 65+ people will lie between 10% and 20%. If the entire 65+ population is men, then the rate of employment will be 20%. If the entire 65+ population is women, then the rate of employment will be 10%. In case there is a mix of men and women, the rate of employment will lie between 10% and 20%. It will be the weighted average of 10% and 20%.

Answer (B)

This question, though much easier, is similar to the famous piglet question from GMAT Prep. Check it out here: http://www.veritasprep.com/blog/2014/09 ... difficult/
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Re: Are at least 10 percent of the people in Country X who are [#permalink]

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New post 29 Nov 2014, 02:20
Say Population of people in Country X who are 65 years old or older = (M+W)

Are at least 10 percent of the people in Country X who are 65 years old or older employed? (M+W) <= 0.1

1. not sufficient

2. 0.2M + 0.1W are employed ==> 0.1M + 0.1(M+W) are employed that means at least 10% are employed. Sufficient.


enigma123 wrote:
Are at least 10 percent of the people in Country X who are 65 years old or older employed?

(1) In country X, 11.3 percent of the population is 65 year old or older
(2) In country X, of the population 65 year old or older, 20 percent of the men and 10 percent of the women are employed

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Re: Are at least 10 percent of the people in Country X who are [#permalink]

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New post 26 Dec 2014, 12:36
the weighted average of 2 individual averages (10% and 20%) must lie between these individual averages

Can someone explain the above please..

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Re: Are at least 10 percent of the people in Country X who are [#permalink]

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New post 27 Dec 2014, 03:42
LUC999 wrote:
the weighted average of 2 individual averages (10% and 20%) must lie between these individual averages

Can someone explain the above please..


Let me ask you a question if the average height of boys in a class is 1.8 meters and the average height of girls is 1.7 meters, could the average weight of all the pupils be less than 1.7 or more than 1.8?
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Re: Are at least 10 percent of the people in Country X who are [#permalink]

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New post 28 Dec 2014, 21:55
LUC999 wrote:
the weighted average of 2 individual averages (10% and 20%) must lie between these individual averages

Can someone explain the above please..


Check out the explanation of this concept here:
on-a-partly-cloudy-day-derek-decides-to-walk-back-from-work-147050.html#p1192637

Average of two quantities will always lie between the two.
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Re: Are at least 10 percent of the people in Country X who are [#permalink]

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New post 31 Dec 2014, 00:46
Bunuel wrote:
enigma123 wrote:
At least 10 percent of the people in Country X who are 65 years old or older employed?
(1) In country X, 11.3 percent of the population is 65 year old or older
(2) In country X, of the population 65 year old or older, 20 percent of the men and 10 percent of the women are
employed

Any idea how to solve this please?


Question: is at least 10% of some particular group of people employed? (Don't let the phrase "of the population 65 year old or older" confuse you, refer to it as to some particular group.)

(1) This particular group composes 11.3% of total population. Clearly insufficient, as no info about employment rates in this group.

(2) 20% of the men in this group and 10% of the women in this group are employed. No matter how many men and women are in this group, more than 10% will be employed. This is because the weighted average of 2 individual averages (10% and 20%) must lie between these individual averages, so percent of employed people in this group is between 10% and 20%. Sufficient.

Answer: B.

Also discussed here: gmat-prep-ds-93371.html

I still don't get why B. Assuming there are 100 people in country X and 10 unemployed and over 65 year-old year. So 2 men and 1 woman => 3/10 < 10%. Please explain. Thanks a lot!

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Re: Are at least 10 percent of the people in Country X who are [#permalink]

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New post 31 Dec 2014, 04:46
HuongShashi wrote:
Bunuel wrote:
enigma123 wrote:
At least 10 percent of the people in Country X who are 65 years old or older employed?
(1) In country X, 11.3 percent of the population is 65 year old or older
(2) In country X, of the population 65 year old or older, 20 percent of the men and 10 percent of the women are
employed

Any idea how to solve this please?


Question: is at least 10% of some particular group of people employed? (Don't let the phrase "of the population 65 year old or older" confuse you, refer to it as to some particular group.)

(1) This particular group composes 11.3% of total population. Clearly insufficient, as no info about employment rates in this group.

(2) 20% of the men in this group and 10% of the women in this group are employed. No matter how many men and women are in this group, more than 10% will be employed. This is because the weighted average of 2 individual averages (10% and 20%) must lie between these individual averages, so percent of employed people in this group is between 10% and 20%. Sufficient.

Answer: B.

Also discussed here: gmat-prep-ds-93371.html

I still don't get why B. Assuming there are 100 people in country X and 10 unemployed and over 65 year-old year. So 2 men and 1 woman => 3/10 < 10%. Please explain. Thanks a lot!


Your numbers are messed up.

How many people are 65 year old or older? How many of them are men and how many are women? 20% of the men in this group and 10% of the women in this group are employed. Now plug numbers and you'll see that at least 10% must be employed.
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Are at least 10 percent of the people in Country X who are [#permalink]

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New post 01 Jan 2015, 02:07
enigma123 wrote:
Are at least 10 percent of the people in Country X who are 65 years old or older employed?

(1) In country X, 11.3 percent of the population is 65 year old or older
(2) In country X, of the population 65 year old or older, 20 percent of the men and 10 percent of the women are employed


Yes/No question

St.1 The fact that 11.3% is 65y.o or older does not contribute answer. INSUFFICIENT

St2. Rephrasing gives that average of employed 65y.o population is between 10% and 20% depending on ration of m/w.
It is not more than 20% and not less than 10%. SUFFICIENT


B

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Re: Are at least 10 percent of the people in Country X who are [#permalink]

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New post 01 Jan 2015, 12:42
1) Statement tell only about the population %.................. Insufficient , we need to find employed who are >= 65.
2) 20 % of men and 10% of women >= 65 years are employed. So average will always be > 10 untill and unless population comprises of anything else that do not fall in men and women category :lol:

So, B Sufficient


enigma123 wrote:
Are at least 10 percent of the people in Country X who are 65 years old or older employed?

(1) In country X, 11.3 percent of the population is 65 year old or older
(2) In country X, of the population 65 year old or older, 20 percent of the men and 10 percent of the women are employed

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Re: Are at least 10 percent of the people in Country X who are [#permalink]

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New post 11 Jul 2015, 12:24
An algebraic approach.

St. 1: 11.3/100 * x = No. of people over 65 years in country X. This provides no info of employment within this population sub group. Not sufficient.

St. 2: Let total number of men and women over 65 be M+F. Then fraction of population sub group that is employed, as per the statement, would be 0.2M+0.1F/M+F. The question asks if this fraction is >= 1/10. If yes, then (cross-multiplying) we get 2M+F>=M+F or M>0, which must be true because 20% of the number of men over 65 are employed (meaning M must be a positive integer). Sufficient.

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Re: Are at least 10 percent of the people in Country X who are   [#permalink] 11 Jul 2015, 12:24

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