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These questions seem to trip me up.. I can get questions

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Manager
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Joined: 13 Sep 2006
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These questions seem to trip me up.. I can get questions [#permalink] New post 01 Oct 2006, 12:36
These questions seem to trip me up.. I can get questions that require the following formula: total = group 1 + group 2 - both + neither...

I can't figure out the following problem...does it require a ven diagram? Whats the easiest method for this..? Any other overlapping set tips would be great too!!

Question

On a certain road, 10% of motorists exceed the posted speed limit and receive speeding tickets, but 20% of the motorists who exceed the posted speed limit do not receive speeding tickets. What % of the motorists on that road exceed the posted speed limit?

a) 10 1/2 %
b) 12 1/2 %
c) 15%
d) 22%
e) 30%
Senior Manager
Senior Manager
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Re: help with overlapping sets... [#permalink] New post 01 Oct 2006, 13:10
amorica wrote:
These questions seem to trip me up.. I can get questions that require the following formula: total = group 1 + group 2 - both + neither...

I can't figure out the following problem...does it require a ven diagram? Whats the easiest method for this..? Any other overlapping set tips would be great too!!

Question

On a certain road, 10% of motorists exceed the posted speed limit and receive speeding tickets, but 20% of the motorists who exceed the posted speed limit do not receive speeding tickets. What % of the motorists on that road exceed the posted speed limit?

a) 10 1/2 %
b) 12 1/2 %
c) 15%
d) 22%
e) 30%


in this kind of problem it's useful for me to draw a table:

E=exceed, NE=not exceed, R=received, NR=not received, T=total (in percentage problems you can set this to 100)

so the table is:

...........R.............NR...........T
E.........10...........20...........30
NE
T......................................100

E & R = 10
E & NR = 20, plug them in into aboved table and you'll see it will be across top E row, so you can add them up and get 30%

this approach works very well for Yes/No type of problems

There is another type of overlapping problem, I have started a thread on it here:


http://www.gmatclub.com/phpbb/viewtopic.php?t=35933
Director
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Re: help with overlapping sets... [#permalink] New post 01 Oct 2006, 14:12
Category1 = Exceeded & Ticked Recieved = 10 %
Category2 = exceeded but did NOT recieve 20%
Category3 = did not exceed = 70 %

Percent Exceeded = Cat1 + Cat2 = 30.
Senior Manager
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Re: help with overlapping sets... [#permalink] New post 01 Oct 2006, 15:08
amorica wrote:
These questions seem to trip me up.. I can get questions that require the following formula: total = group 1 + group 2 - both + neither...

I can't figure out the following problem...does it require a ven diagram? Whats the easiest method for this..? Any other overlapping set tips would be great too!!

Question

On a certain road, 10% of motorists exceed the posted speed limit and receive speeding tickets, but 20% of the motorists who exceed the posted speed limit do not receive speeding tickets. What % of the motorists on that road exceed the posted speed limit?

a) 10 1/2 %
b) 12 1/2 %
c) 15%
d) 22%
e) 30%


Answer B
No you don't need over lapping sets
Assume there are 100 motorists on the
10 of them exceed the posted speed limit and receive speeding tickets
x= no. of people who exceed the posted speed limit .

From the stem we know 20% of the motorists who exceed the posted speed limit do not receive speeding tickets

From the above stmt we can deduce that 80% of people exceed the posted speed limit and receive speeding tickets which is 10.

.8x=10
x=12.5
Senior Manager
Senior Manager
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Joined: 31 Jul 2006
Posts: 440
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Re: help with overlapping sets... [#permalink] New post 01 Oct 2006, 18:19
ivymba wrote:
amorica wrote:
These questions seem to trip me up.. I can get questions that require the following formula: total = group 1 + group 2 - both + neither...

I can't figure out the following problem...does it require a ven diagram? Whats the easiest method for this..? Any other overlapping set tips would be great too!!

Question

On a certain road, 10% of motorists exceed the posted speed limit and receive speeding tickets, but 20% of the motorists who exceed the posted speed limit do not receive speeding tickets. What % of the motorists on that road exceed the posted speed limit?

a) 10 1/2 %
b) 12 1/2 %
c) 15%
d) 22%
e) 30%


Answer B
No you don't need over lapping sets
Assume there are 100 motorists on the
10 of them exceed the posted speed limit and receive speeding tickets
x= no. of people who exceed the posted speed limit .

From the stem we know 20% of the motorists who exceed the posted speed limit do not receive speeding tickets

From the above stmt we can deduce that 80% of people exceed the posted speed limit and receive speeding tickets which is 10.

.8x=10
x=12.5


:oops: d'oh you're right. read the problem wrong
VP
VP
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Joined: 25 Jun 2006
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 [#permalink] New post 01 Oct 2006, 19:14
B, coz the 20% is out of those who exceed first.
  [#permalink] 01 Oct 2006, 19:14
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