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goalsnr wrote:
A recent report determined that although only three percent of drivers on Maryland highways equipped their vehicles with radar detectors, thirty-three percent of all vehicles ticketed for exceeding the speed limit were equipped with them. Clearly, drivers who equip their vehicles with radar detectors are more likely to exceed the speed limit regularly than are drivers who do not.
The conclusion drawn above depends on which of the following assumptions?
(A) Drivers who equip their vehicles with radar detectors are less likely to be ticketed for exceeding the speed limit than are drivers who do not.
(B) Drivers who are ticketed for exceeding the speed limit are more likely to exceed the speed limit regularly than are drivers who are not ticketed.
(C) The number of vehicles that were ticketed for exceeding the speed limit was greater than the number of vehicles that were equipped with radar detectors.
(D) Many of the vehicles that were ticketed for exceeding the speed limit were ticketed more than once in the time period covered by the report.
(E) Drivers on Maryland highways exceeded the speed limit more often than did drivers on other state highways not covered in the report.


Let's look at the question stem first. We need to find an assumption. An assumption is a missing necessary premise. Something that will not only strengthen the conclusion but also be essential to the argument.
An assumption is a statement that needs to be added to the premises for the conclusion to be true.

Premises:
- Only 3% of drivers on Maryland highways had radar detectors.
- 33% of vehicles that got speeding tickets had radar detectors.

Conclusion: Drivers with radar detectors are more likely to exceed the speed limit regularly than other drivers.

There must be a disconnect between the premises and conclusion since there is an assumption. Look carefully. Premises give a connection between radar detectors and vehicles that get speeding tickets. While conclusion concludes a relation between radar detectors and vehicles that exceed speed limit. The assumption must then give a connection between vehicles that get speeding tickets and vehicles that exceed speed limit.
Option (B) gives us that relation.

Lets add it to premises and see if the conclusion makes more sense now:

- Only 3% of drivers on Maryland highways had radar detectors.
- 33% of vehicles that got speeding tickets had radar detectors. (links radar detector to speeding tickets)
-Drivers who get speeding tickets are more likely to exceed the speed limit regularly than others. (links speeding tickets to exceed speed limit)

Conclusion: Drivers with radar detectors are more likely to exceed the speed limit regularly than other drivers. (links radar detectors to exceed speed limit) Perfect!

Option (C) only tells us that people without radar detectors were also ticketed. It doesn't strengthen our conclusion at all.
Option (D) tells us that many vehicles were ticketed multiple times. It doesn't say that these vehicles had radar and had been over speeding regularly. Hence option (D) isn't the missing premise either.
You can also apply the Assumption Negation Technique here. If you negate (B) conclusion cannot be drawn.
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Only a tiny fraction of people have the radar detectors. However, one-third of tickets go to people with radar detectors.

Radar detectors are associated with increased incidence of tickets.

But how do we know that those getting caught are speeding regularly?

You don't, unless you assume it (B).

Very tricky because of all the verbiage.
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A recent report determined that although only three percent of drivers on Maryland highways equipped their vehicles with radar detectors, thirty-three percent of all vehicles ticketed for exceeding the speed limit were equipped with them. Clearly, drivers who equip their vehicles with radar detectors are more likely to exceed the speed limit regularly than are drivers who do not.

The conclusion drawn above depends on which of the following assumptions?


(A) Drivers who equip their vehicles with radar detectors are less likely to be ticketed for exceeding the speed limit than are drivers who do not.

(B) Drivers who are ticketed for exceeding the speed limit are more likely to exceed the speed limit regularly than are drivers who are not ticketed.

(C) The number of vehicles that were ticketed for exceeding the speed limit was greater than the number of vehicles that were equipped with radar detectors.

(D) Many of the vehicles that were ticketed for exceeding the speed limit were ticketed more than once in the time period covered by the report.

(E) Drivers on Maryland highways exceeded the speed limit more often than did drivers on other state highways not covered in the report.


It’s actually pretty direct-

The data is that although only three percent of drivers on Maryland highways equipped their vehicles with radar detectors, thirty-three percent of all vehicles ticketed for exceeding the speed limit were equipped with them.

The conclusion drawn from this data is that drivers who equip their vehicles with radar detectors are more likely to exceed the speed limit regularly than are drivers who do not.

From the data/report that shows drivers who equip their vehicles with radar detectors were ticketed for exceeding the speed limit, the conclusion drawn is that they are likely to exceed the speed limit regularly.

What is the assumption? What is it that holds being ticketed for exceeding the speed limit and exceeding the speed limit regularly?

Only option B brings in that connection!

(B) Drivers who are ticketed for exceeding the speed limit are more likely to exceed the speed limit regularly than are drivers who are not ticketed.

Negate this and the conclusion falls.

Drivers who are ticketed for exceeding the speed limit are NOT more likely to exceed the speed limit regularly than are drivers who are not ticketed.

In that case, we cannot conclude that drivers who equip their vehicles with radar detectors are more likely to exceed the speed limit regularly than are drivers who do not. Correct.

(A) Drivers who equip their vehicles with radar detectors are less likely to be ticketed for exceeding the speed limit than are drivers who do not.
No information suggests this. In fact, it only weakens the argument. Eliminate.

(C) The number of vehicles that were ticketed for exceeding the speed limit was greater than the number of vehicles that were equipped with radar detectors.
Option C does not connect the premises to the conclusion. It’s just data that is of no use. Eliminate.

(D) Many of the vehicles that were ticketed for exceeding the speed limit were ticketed more than once in the time period covered by the report.
Irrelevant. Eliminate.

(E) Drivers on Maryland highways exceeded the speed limit more often than did drivers on other state highways not covered in the report.
Irrelevant. Eliminate


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I've seen this one before, and I believe it is an LSAT question. The answer is B. It works like this:

Conclusion: Drivers who have radar detectors are more likely to exceed the speed limit regularly than drivers who do not.

Evidence: 3% of drivers on Maryland highways had radar detectors in their vehicles, but 33% of vehicles which got speeding tickets on Maryland highways had radar detectors.

What does the evidence prove? If 3% of the vehicles have radar detectors but those vehicles account for 33% of the tickets, then the evidence DOES prove that vehicles with radar detectors are more likely to get a ticket. Their share of the total number of tickets is greater than their share of the total number of vehicles. This makes it arithmetically inevitable that the percentage of them (again, this is the detector-equipped cars) which gets tickets is bigger than the percentage of other cars which gets tickets.

The conclusion, however, does NOT say that the vehicles with radar detectors are more likely to get a ticket. It says that they are more likely to exceed the speed limit REGULARLY. So the missing assumption is that a vehicle or driver which gets a ticket is therefore also more likely to exceed the speed limit REGULARLY. The evidence proves that these vehicles get more tickets; we need the missing assumption (choice B) to go from there to the conclusion.

The wording of the question actually allows for another, much more subtle flaw in the argument -- one which is NOT used in these answer choices. The evidence actually doesn't say that 3% of VEHICLES have radar detectors; it says that 3% of DRIVERS equip their vehicles with radar detectors. Because of this, the argument also depends on assuming that this 3% of drivers do NOT collectively own 33% or more of the vehicles on Maryland highways. If they did, then it would be possible for the proportion of all vehicles with radar detectors to be the same as, or higher than, the proportion of all tickets which go to those vehicles.
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3% of drivers on maryland highways equip their vehicles with radar detectors
31% of all vehicles ticketed for exceeding the speed limit were equip with them
Drivers who equip their vehicles with radar detectors are more likely to exceed speed lmiit regularly than driver who do not <-- conclusion

(A) Drivers who equip their vehicles with radar detectors are less likely to be ticketed for exceeding the speed limit than are drivers who do not.
- does not hold up the conclusion

(B) Drivers who are ticketed for exceeding the speed limit are more likely to exceed the speed limit regularly than are drivers who are not ticketed.
This one holds up the conclusion. We're told a large percentage of vehicles with radar detectors were ticketed for speeding. Then (B) says those who are ticketed are likely to exceed the speed limit regularly. So the conclusion that vehicles with radar detectors exceed the speed limit regularly is true.

(C) The number of vehicles that were ticketed for exceeding the speed limit was greater than the number of vehicles that were equipped with radar detectors.
- not important.

(D) Many of the vehicles that were ticketed for exceeding the speed limit were ticketed more than once in the time period covered by the report.
- does not help the conclusion

(E) Drivers on Maryland highways exceeded the speed limit more often than did drivers on other state highways not covered in the report.
- out of scope
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It's definitely a tricky one :).

The conclusion states that drivers with radar detectors speed more REGULARLY than those who do not carry radar detectors. Notice how I highlighted the word 'regularly.'

The conclusion is based on the fact that 33% of those ticketed carry radar detectors (whereas only 3% of total drivers are ticketed). From this fact alone can we say that radar-detector drivers speed regularly? They obviously sped once - they got a ticket. But there is no way we can say that they speed regularly. So this is an assumption that the argument rests on, the assumption addressed in (B):

(B) Drivers who are ticketed for exceeding the speed limit are more likely to exceed the speed limit regularly than are drivers who are not ticketed.

Hence the answer is (B).
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A) Drivers who equip their vehicles with radar detectors are less likely to be ticketed for exceeding the speed limit than are drivers who do not. Negating the Conclusion

B) Drivers who are ticketed for exceeding speed limit are more likely to exceed the speed limit regularly than are drivers who are not ticketed.
Correct

C) The number of vehicles that were ticketed for exceeding speed limit was greater than the number of vehicles that were equipped with the radar detectors.
Restatement of the Premise

D) Many of the vehicles that were ticketed for exceeding the speed limit were ticketed more than once in the time period covered by the report.
Negation : Many of the vehicles that were ticketed for exceeding the speed limit were not ticketed more than once in the time period covered by the report. This does not break the conclusion.Also the premise talks about the number of vehicles and not the number of tickets.

E) Drivers on Maryland highways exceed the speed limit more often than drivers on other state highways not covered in the report.
Out of Scope
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Mathematical approaches are always good to solve this kind of questions.
What we have got so far:
1) 3 percent of drivers on Maryland highways equipped their vehicles with radar detectors
2) 33 percent of all vehicles ticketed for exceeding the speed limit were equipped with them.

Assuming there are 1000 drivers on Maryland highways. 3% or 30 cars are equipped with radar detectors.
Let's say 200 cars were ticketed for speeding. 33% or 66 cars were equipped with radar detectors.
Now out of 200 ticketed cars 66 are those with radars and 134 are without them.
But there are only 30 cars with radars so far.That means of those 30 drivers some were ticketed more than once.
So,Drivers who are ticketed for exceeding speed limit are more likely to exceed the speed limit regularly than are drivers who are not ticketed.

This is exactly what option B says.
Remember option D is a trap answer as it talks about all the drivers,no for drivers with radar equipment.
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sagarsingh wrote:
abhichar wrote:
[color=#0000ff]A recent report determined that although only 3 percent of drivers on Maryland highways equipped their vehicles with radar detectors, 33 percent of all vehicles ticketed for exceeding the speed limit were equipped with them.
Clearly, drivers who equip their vehicles with radar detectors are more likely to exceed the spped limit regularly than are drivers who do not.

The conclusion drawn above depends on which of the following assumptions:


Everything written above makes sense, I just want to focus on the main takeaway of this question as this issue comes up over and over again in Critical Reasoning. The question sets you up with drivers who get ticketed, and then a conclusion is made for all drivers who exceed the speed limit regularly. The GMAT frequently makes these kinds of leaps in logic, and the answer is always the choice that reconciles the group given in the premise (ticketed for speeding) with the group extrapolated for in the conclusion (regularly exceeds the speed limit).

Once you learn how to spot these questions, either through clear conceptual understanding or myriad similar examples, these are easy breezy questions. And if you can get a few easy questions on the exam, then you have more time for the head scratchers.

Hope this helps!
-Ron
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saurya_s wrote:
171. A recent report determined that although only three percent of drivers on Maryland highways equipped their vehicles with radar detectors, thirty-three percent of all vehicles ticketed for exceeding the speed limit were equipped with them. Clearly, drivers who equip their vehicles with radar detectors are more likely to exceed the speed limit regularly than are drivers who do not. The conclusion drawn above depends on which of the following assumptions?
(A) Drivers who equip their vehicles with radar detectors are less likely to be ticketed for exceeding the speed limit than are drivers who do not.
(B) Drivers who are ticketed for exceeding the speed limit are more likely to exceed the speed limit regularly than are drivers who are not ticketed.
(C) The number of vehicles that were ticketed for exceeding the speed limit was greater than the number of vehicles that were equipped with radar detectors.
(D) Many of the vehicles that were ticketed for exceeding the speed limit were ticketed more than once in the time period covered by the report.
(E) Drivers on Maryland highways exceeded the speed limit more often than did drivers on other state highways not covered in the report.


B must be the answer. The argument cites high incidence of radar-equipped cars BEING TICKETED but derives a conclusion about how often these cars EXCEEDED THE SPEED LIMIT. Clearly, in the author's opinion those drivers who are often ticketed often exceed the speed limit. Thus, B is the missing link
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Guys, classic scope shift as indicated by mismatch of subject in the main assertion and the assumption choices – driver vs vehicle! The element that needs to be connected for the argument to work is the subject ‘driver’. In choice D the subject morphs into something slightly different, which seem consistent, or even inferable from the argument. Hence B.

Another form of common scope shift is when the author uses a word or concept in two different ways where the intent is to blur the main topic - equivocation. For example, ‘airplanes seats have been designed for safety’ is different from saying ‘airplanes seats are safe’.

Another common shift arises in the main conclusion itself when we find something else comes out of nowhere, in which case the job is to connect that ‘something else’ in the conclusion with something in the premise in order to make the argument work. Hence we make it focal point of assumption hunt.
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sheru34766 wrote:
Thanks Karishma. That was helpful.

But geesh, :shock: , would I be able to put all these together in 2mins?


In most CR questions, you will need to break down the stimulus into premises and conclusion. If your question is asking for assumption, then you are looking for missing data. Then you actively search for a missing link between premises and conclusion. With some practice you can very easily and quickly narrow down your choices. Then you can use assumption negation technique in those if you are not certain. Sometimes, you could exceed 2 mins in tricky CR questions but in SC questions you should be generally be done within 1min 30 sec. So it is a good idea to practice pacing yourself using practice tests.
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pinchharmonic wrote:
karishma, I understand the logic, but I think there is a HUGE detail that is being overlooked. Every forum i looked no one addresses this...

if 33% of the people ticketed have radar detectors, then 67% of those ticketed DO NOT. Therefore, with B, those 67% ticketed and without radars are also more likely to speed regularly than those who are not ticketed. But wait a second, now it seems we're supporting something counter to the conclusion.

So now this becomes a percentages problem because the only way B is a proper assumption for the conclusion is if the percentage of people with radars is very small, hence the reason the problem uses 3%. If it was 34%, for instance, i think we can argue that B does not work.

** the reason I mention this is because in addition to myself, i notice a lot of people getting hung up on the percentages and the "paradox" that results from it. and then most people, including the OG explanation, don't bother mentioning the percentages, which I think are absolutely crucial.


Of course it is a percentages problem. The reason no one mentions it is because it is obvious. The whole argument is based on the chosen numbers. "ALTHOUGH ONLY 3% of drivers on Maryland highways equipped their vehicles with radar detectors, 33% of all vehicles ticketed for exceeding the speed limit were equipped with them."
- A very small number has radar detectors BUT they represent a big part of offenders who are caught. This makes you conclude something and you need to point out the assumption.

If you change the numbers (put 33% in place of 3%), the argument falls apart and ceases to make any sense. 33% have radar detectors and 33% of offenders who are caught have radar - that's balanced representation so you cant conclude anything from that.
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FACT 1:
A recent report determined that although only 3 percent of drivers on Maryland highways equipped their vehicles
with radar detectors,
FACT 2:
33 percent of all vehicles ticketed for exceeding the speed limit were equipped with them.
CONCLUSION:
Clearly, drivers who equip their vehicles with radar detectors are more likely to exceed the speed limit regularly
than are drivers who do not.

The conclusion drawn above depends on which of the following assumptions?

Even though a few vehicles have radars, 33% of the ticketed had it. The conclusion, as often happens in the GMAT when we have numerical data, assumes the validity of the data itself: uniformity, no distortions, ...
So before reading the answers we have to keep this in mind: the data must be "true", must represent the reality.
Movin on to the answers, we now can see why B is correct.

(B) Drivers who are ticketed for exceeding the speed limit are more likely to exceed the speed limit regularly
than are drivers who are not ticketed.

With B we know that the data does represent the reality, and the conclusion is not based on few cases. If you want with assumption cases you can negate the option and see if the argument holds.
If you do so you obtain "Drivers who ... are less likely to"; here it's easier to see that the conclusion (without B) is based on unreliable data.

Hope this helps, let me know
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We'll attack this question with some framework + prethinking.

Framework: Expectation vs Actuality
Pre-thinking: Link the two relevant topics

This question starts off with the expectation vs actuality framework
Expectation: 3% (low percentage) with radar detectors ->might expect 3% of ticketed cars to have radar detectors
Actuality: 3% (low percentage) with radar detectors -> actually 33% of ticketed cars have radar detectors

Conclusion: Those using radar detectors are MORE likely to exceed speed limit REGULARLY.

Keep in mind that the word "regularly" adds a dimension of "degree" into the conclusion. It's not a simple relationship between "detector = speed more", but rather "detector = consistently speed more"


So our pre-thinking should be to find an answer choice that connects those two topics:
1) something to do with "detector"
2) something to do with "consistently speeding more" -- keyword 'consistently' is important

(B) [Drivers who are ticketed for exceeding the speed limit ] are [ more likely to exceed the speed limit regularly]
than are drivers who are not ticketed.


So does (B) talk about the detector? Not directly BUT it does so indirectly.
[Drivers who are ticketed for exceeding the speed limit ]
We already established before that a good percentage of those who are ticketed (33%) are those WITH detectors. Thus (B) is already referencing this segment of the population. Then the second half says this group (those with detectors) are more likely to exceed the speed limit REGULARLY -- fully captures the conclusion we had. In fact, it almost sounds like a repeat of the conclusion -- but it does so by substituting that first part ("detectors") with something slightly different.



(A) [ Drivers who equip their vehicles with radar detectors ] are [less likely to be ticketed for exceeding the speed
limit ]
than are drivers who do not.

1) "detector" -- YES
2) "consistently speeding more" -- NO, goes in opposite direction and says LESS likely.



(C) [ The number of vehicles that were ticketed for exceeding the speed limit ] was greater than the number of
vehicles that were equipped with radar detectors.
1) "detector" -- no, this is talking about the # of vehicles...not the population of those that speeded. Notice the other answer choices reference "drivers" -- not "the number of vehicles"
2) "consistently speeding more" -- no


(D) [ Many of the vehicles that were ticketed for exceeding the speed limit ] were ticketed more than once in the
time period covered by the report.
1) "detector" -- no, this is talking about some detail about a portion of the vehicles -- we only care about the drivers that used the "detector" -- not the details about some irrelevant segment
2) "consistently speeding more" -- no

(E) [ Drivers on Maryland highways ] exceeded the speed limit more often than did drivers on other state
highways not covered in the report.

1) "detector"-- no, talks about drivers in Maryland as a whole. The conclusion only cares about drivers who used the detector, not the whole group.
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3% of all equipped with detectors
33% of vehicles caught speeding equipped with detectors
Conclusion: drivers who use detectors are more likely to speed regularly than those who don't

Author has made a leap between speeding only occasionally and getting (unluckily) caught vs. speeding regularly - but the rest of the argument does not actually mention anything about the frequency of speeding of various groups. It may be obvious that the more often you speed, the more chances you have to get caught - but the argument does not spell this out.

Choice B addresses this leap that the author makes about the frequency of speeding. If drivers who are ticketed are likely to exceed the speed limit regularly, then the 33% of vehicles caught speeding with detectors will fall into this category of people who are more likely to speed regularly. Remember, again, that it may be obvious that the more often you speed, the more likely you are to get caught - but the argument doesn't literally spell it out, and that's the point. The author is just assuming this point is true without spelling it out.
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sheshadritalla wrote:
Hi,

I am not satisfied with the OG explanation, could any one please explain me.

A recent report determined that although only three percent of drivers on Maryland highways equipped their vehicles with radar detectors, thirty-three percent of all vehicles ticketed for exceeding the speed limit were equipped with them. Clearly, drivers who equip their vehicles with radar detectors are more likely to exceed the speed limit regularly than are drivers who do not.

The conclusion drawn above depends on which of the following assumptions?

(A) Drivers who equip their vehicles with radar detectors are less likely to be ticketed for exceeding the speed limit than are drivers who do not.
(B) Drivers who are ticketed for exceeding the speed limit are more likely to exceed the speed limit regularly than are drivers who are not ticketed.
(C) The number of vehicles that were ticketed for exceeding the speed limit was greater than the number of vehicles that were equipped with radar detectors.
(D) Many of the vehicles that were ticketed for exceeding the speed limit were ticketed more than once in the time period covered by the report.
(E) Drivers on Maryland highways exceeded the speed limit more often than did drivers on other state highways not covered in the report.

Thanks & regards,
Sheshadri


hi,
not one of the best of the Qs in OG...

But we can get to the answer choice,..

lets see with numbers..
total 1000 drivers, out of which 30 have radar detectors installed in their vehicles..
Vehicles ticketed for over speeding... say 66 vehicles..
22 out of 30 with detectors ticketed, whereas 44 out of 970 of others detected..
conclusion :- drivers who equip their vehicles with radar detectors are more likely to exceed the speed limit regularly than are drivers who do not.

One should know what is the use of radar detector...
It is to enable the motorists to reduce the speed, as the radar picks up the speed detector placed by police. So, logically they should reduce their speed, after realizing the presence of speed detector..

But the conclusion states the opposite that these drivers get ticketed, even after having radar detector..
Ofcourse there can be reason such as tech advancement not to get detected by radars and drivers getting caught unaware of this technological advancement..

we are asked to connect the conclusion with some assumption..

regularly' is the catch to some extent.. the drivers who are ticketed are prone to increase the speed inspite of presence of detectors in the car..(They love to live on the edge :wink: )..
so B could be an assumption...
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