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Are at least 20% of the people in City H who are at least 30 11 Aug 2011, 07:28
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54% (01:52) correct 46% (02:13) wrong based on 419 sessions

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Are at least 20% of the people in City H who are at least 30 years old bilingual?

1. In City H, 25 percent of the bilingual population is at least 30 years old.
2. In City H, of the population at least 30 years old, 18 percent of the women and 17 percent of the men are bilingual.
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B
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jamifahad
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Are at least 20% of the people in City H who are at least 30 11 Aug 2011, 12:00
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anjanapadmaraj4
Are at least 20% of the people in City H who are at least 30 years old bilingual?

1. In City H, 25 percent of the bilingual population is at least 30 years old.
2. In City H, of the population at least 30 years old, 18 percent of the women and 17 percent of the men are bilingual.
Show more

Question: Are at least 20% of the people in City H who are at least 30 years old bilingual?
or What is the population of people who are at least 30 years old?

Stmt1: In City H, 25 percent of the bilingual population is at least 30 years old.
Let the population of Bilingual be = 100
Then, 25% of Bilingual population (100) is atleast 30yrs old.
i.e 25*100/100 = 25 people are bilingual and atleast 30 yrs old.

Now, is 20% of x (population of people who are at least 30 years old) = 25
or is x= 125? We do not know. Insufficient.

Stmt2: In City H, of the population at least 30 years old, 18 percent of the women and 17 percent of the men are bilingual
Let the population of people atleast 30 yrs old be 100
Bilingual Population:
18 percent of the women and 17 percent of the men are bilingual= 0.18*100+0.17*100=35

20% of people in City H who are atleast 30 years old =0.2*100=20
We can see that number of people who are 30 yrs old and bilingual is 35% which is greater than 20%
Sufficient.

OA B.
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DeeptiM
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Are at least 20% of the people in City H who are at least 30 12 Aug 2011, 12:36
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fluke
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Are at least 20% of the people in City H who are at least 30 years old bilingual?

1. In City H, 25 percent of the bilingual population is at least 30 years old.

CaseI: (100 People)
4 Bilingual: 1 at least 30, 3 less than 30
96 Not-Bilingual: 96 at least 30, 0 less than 30
% of at least 30 who are bilingual=1/(96+1)<20%

CaseII: (100 People)
4 Bilingual: 1 at least 30, 3 less than 30
96 Not-Bilingual: 0 at least 30, 96 less than 30
% of at least 30 who are bilingual=1/1=100%>20%

Not Sufficient.


2. In City H, of the population at least 30 years old, 18 percent of the women and 17 percent of the men are bilingual.

Irrespective of the % of population that is at least 30, we know for sure the percent of bilingual will always be < 20 because cumulative % of men(18) and women(17) is < 20

Sufficient.

Show more


Fluke, pls I need help here..

Stmt1: In City H, 25 percent of the bilingual population is at least 30 years old.
Let the population of Bilingual be = 100
Then, 25% of Bilingual population (100) is atleast 30yrs old.
i.e 25*100/100 = 25 people are bilingual and atleast 30 yrs old.

Now,20% of x (population of people who are at least 30 years old) = 25
so x= 125...as we have the total population and no of ppl bilingual and atleast 30..we can find if it's at least 20%...isn't that sufficient?? what am i missing

Also, is there a simple way to explain statement2
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Are at least 20% of the people in City H who are at least 30 12 Aug 2011, 13:38
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DeeptiM
Stmt1: In City H, 25 percent of the bilingual population is at least 30 years old.
Let the population of Bilingual be = 100
Then, 25% of Bilingual population (100) is atleast 30yrs old.
i.e 25*100/100 = 25 people are bilingual and atleast 30 yrs old.

Now,20% of x (population of people who are at least 30 years old) = 25
so x= 125...as we have the total population and no of ppl bilingual and atleast 30..we can find if it's at least 20%...isn't that sufficient?? what am i missing
Show more

Take population of bilingual to be 1000.
x will be 1250. hence population of people who are atleast 30 years old really depends upon what you assume population of bilingual to be.
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Are at least 20% of the people in City H who are at least 30 12 Aug 2011, 19:30
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jamifahad
anjanapadmaraj4
Are at least 20% of the people in City H who are at least 30 years old bilingual?

Stmt2: In City H, of the population at least 30 years old, 18 percent of the women and 17 percent of the men are bilingual
Let the population of people atleast 30 yrs old be 100
Bilingual Population:
18 percent of the women and 17 percent of the men are bilingual= 0.18*100+0.17*100=35

20% of people in City H who are atleast 30 years old =0.2*100=20
We can see that number of people who are 30 yrs old and bilingual is 35% which is greater than 20%
Sufficient.

OA B.
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I think there is some problem in the red part of the calculation

if there are 100 people atleast 30 years or old, than you can't have 100 men and 100 women.

So let;s take two cases

a> Men = 50, Women = 50
than total# of bilungual people = 0.18*50+0.17*50 = 9 + 8.5 = approx. 18 (that is less than 20)

b> Men = 70, Women = 30
than total# of bilungual people = 0.18*70+0.17*30 = 13 + 6 = approx. 19 (that is less than 20)


So with the assumption, that there are only Male and Female in the city demography, B is sufficient.
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Are at least 20% of the people in City H who are at least 30 13 Aug 2011, 02:48
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DeeptiM
Fluke, pls I need help here..

Stmt1: In City H, 25 percent of the bilingual population is at least 30 years old.
Let the population of Bilingual be = 100
Then, 25% of Bilingual population (100) is at least 30yrs old.
i.e 25*100/100 = 25 people are bilingual and at least 30 yrs old.

Now,20% of x (population of people who are at least 30 years old) = 25
so x= 125...as we have the total population and no of ppl bilingual and atleast 30..we can find if it's at least 20%...isn't that sufficient?? what am i missing

Also, is there a simple way to explain statement2
Show more

I actually didn't get how you got the red part above.

Q: If there are x people who are at least 30, how many of them are bilingual?

1. In City H, 25 percent of the bilingual population is at least 30 years old.

It says just the reverse;
25% of bilinguals are at least 30.

Now, we know neither the total population nor the number of people who are at least 30. We just know that if there are 100 bilinguals among the people in H, 25 of those are at least 30 AND thus, 75 of those are less than 30.

CASE I:
Now, we take non-bilingual into account:
If there are 900 non-bilingual; out of those 900, all are less than 30 AND 0 person or none is at least 30.

Then
Total Population=Bilingual+Non-bilingual=100+900=1000
People who are at least 30= At least 30 among Bilinguals+At least 30 among non-Bilinguals=25+0=25

People who are at least 30= 25
People who are at least 30 AND bilinguals= 25
%=25/25=100%>20%

CASE II:
But, if
If there are 900 non-bilingual; out of those 900, none is less than 30 AND 900 people are at least 30.

Then
Total Population=Bilingual+Non-bilingual=100+900=1000
People who are at least 30= At least 30 among Bilinguals+At least 30 among non-Bilinguals=25+900=25

People who are at least 30= 925
People who are at least 30 AND bilinguals= 25
%=25/925= much less than 20%

We saw two cases:
First, in which % of bilinguals amongst people who are at least 30=100%
Second, in which % of bilinguals amongst people who are at least 30 less than 20%

So, just by knowing that "25 percent of the bilingual population is at least 30 years old" is NOT enough to find whether "at least 20% of the people in City H who are at least 30 years old bilingual". Because, we don't know what's the population, how many are at least 30 etc...

Not Sufficient.

2. In City H, of the population at least 30 years old, 18 percent of the women and 17 percent of the men are bilingual.

Here, we are given ready-made what's been asked. Out of people who are at least 30; 18% bilingual women and 17% bilingual men.

No matter how many people are at least 30 year old; the % of bilinguals(men+women) will always be less than 20; because neither % of men is more than 20 nor that of women is.

e.g.
100 people out of 1million are at least 30.
Out of 100: 90 Men, 10 Women
(0.18*90+0.17*10) will always be less than 0.2(90+10)

x Men, y Women
0.18x+0.17y< 0.2x+0.2y=0.2(x+y)
Sufficient.

Ans: "B"
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Are at least 20% of the people in City H who are at least 30 13 Aug 2011, 07:13
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whoa..good explanation..+1 to you Fluke

Lemme digest it..will get back to you in case required..hehe
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Are at least 20% of the people in City H who are at least 30 01 Sep 2011, 09:25
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2) % of both male & female who are 30yrs old bilingual< 20%.
this % can never be more than 20%. if males are less than 20%, then females have to be more than 20% to cover up.

no need to do any calculation.
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Are at least 20% of the people in City H who are at least 30 17 May 2016, 06:43
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anjanapadmaraj4
Are at least 20% of the people in City H who are at least 30 years old bilingual?

1. In City H, 25 percent of the bilingual population is at least 30 years old.
2. In City H, of the population at least 30 years old, 18 percent of the women and 17 percent of the men are bilingual.
Show more

Similar question to practice: are-at-least-10-percent-of-the-people-in-country-x-who-are-122734.html
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Are at least 20% of the people in City H who are at least 30 26 Aug 2023, 19:25
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The question is more of logic than of real calculations.

Are at least 20% of the people in City H who are at least 30 years old bilingual?

1. In City H, 25 percent of the bilingual population is at least 30 years old.
The variables here are bilingual population, population >30 yrs and total population.
Say there are 200 bilingual people, so 50 out of them are >30yrs. But >30 yr old is also a variable.
If number of greater than 30 yrs old is 100, answer is yes and if it is 1000, answer is no.
Insufficient

2. In City H, of the population at least 30 years old, 18 percent of the women and 17 percent of the men are bilingual.
The population consists of male and female. And we have % of each.
Therefore, the overall % of people greater than 30 years old who are bilingual will be between the two %, 17% and 18%.
It could be highest 18% when all are women and lowest 17% when all are male.
In whatever be the distribution, the answer is always NO.
Sufficient


B
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Are at least 20% of the people in City H who are at least 30 05 Dec 2024, 18:40
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jamifahad
anjanapadmaraj4
Are at least 20% of the people in City H who are at least 30 years old bilingual?

1. In City H, 25 percent of the bilingual population is at least 30 years old.
2. In City H, of the population at least 30 years old, 18 percent of the women and 17 percent of the men are bilingual.

Question: Are at least 20% of the people in City H who are at least 30 years old bilingual?
or What is the population of people who are at least 30 years old?

Stmt1: In City H, 25 percent of the bilingual population is at least 30 years old.
Let the population of Bilingual be = 100
Then, 25% of Bilingual population (100) is atleast 30yrs old.
i.e 25*100/100 = 25 people are bilingual and atleast 30 yrs old.

Now, is 20% of x (population of people who are at least 30 years old) = 25
or is x= 125? We do not know. Insufficient.

Stmt2: In City H, of the population at least 30 years old, 18 percent of the women and 17 percent of the men are bilingual
Let the population of people atleast 30 yrs old be 100
Bilingual Population:
18 percent of the women and 17 percent of the men are bilingual= 0.18*100+0.17*100=35

20% of people in City H who are atleast 30 years old =0.2*100=20
We can see that number of people who are 30 yrs old and bilingual is 35% which is greater than 20%
Sufficient.

OA B.
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number plugged is 100 , now plug huge number and check your logic will fail. rather think about weighted average and check. one really wont need to do claucuations
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Are at least 20% of the people in City H who are at least 30 27 Dec 2024, 04:13
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answer B- think in terms of weighted avgs - weighted avg. will always be b/w 17 and 18. if all worked at 17 then it will be 17 (minimum) if all worked at 18 then it will be 18 (maximum) so overall it will always be between 17 and 18 (ends included)
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