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What percentage of the agents at Best Be Safe insurance

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What percentage of the agents at Best Be Safe insurance  [#permalink]

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New post Updated on: 26 Aug 2011, 10:11
2
00:00
A
B
C
D
E

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(N/A)

Question Stats:

71% (00:55) correct 29% (01:38) wrong based on 183 sessions

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What percentage of the agents at Best Be Safe insurance company sell insurance for cars but not boats?

1) Ninety percent of the agents at Best Be Safe sell insurance for cars, and 55% of the agents at Best Be Safe do not sell insurance for boats

2) The number of agents at Best Be Safe who sell insurance for boats is half the number of agents who sell insurance for cars

Spoiler: :: my take
Is it E?
1 says that (based on 100 people) C = 90 (-> not_C = 10), not_B = 55 (-> B = 45). But we don't know about the overlap

2 just restates the 90/45 relationship, again no overlap is stated

Originally posted by Berbatov on 26 Aug 2011, 01:32.
Last edited by Berbatov on 26 Aug 2011, 10:11, edited 1 time in total.
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Re: Best Be Safe insurance  [#permalink]

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New post 26 Aug 2011, 08:21
What you have posted does not make sense.

(1) Fact A - 9% sell insurance for cars
Fact B - 55% do not sell for boats, implying 45% sell for cars
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Re: Best Be Safe insurance  [#permalink]

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New post 26 Aug 2011, 10:12
eragotte wrote:
What you have posted does not make sense.

(1) Fact A - 9% sell insurance for cars
Fact B - 55% do not sell for boats, implying 45% sell for cars


It's 90, sorry, corrected my mistake
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Re: Best Be Safe insurance  [#permalink]

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New post 27 Aug 2011, 05:40
can somebody explain it
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Re: Best Be Safe insurance  [#permalink]

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New post 27 Aug 2011, 09:40
IMO E. We get no info about other kinds of insurance being sold in this company.

Selling both can be between 45-35% and therefore we cannot know what is the 90-both.

Berbatov, Please post OA's with your questions. It makes the study process faster and more efficient. Thanks.
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Re: Best Be Safe insurance  [#permalink]

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New post 01 Sep 2011, 08:41
imo A. this is a question of overlapping sets.

let,
agents who sell cars = C
agents who sell boats = B

1)
C=90
B'=55 so B=45

100 = C+B-x ............ x is intersection of C & B.
100=90+45-x
x=35

agents who sell ONLY cars = 90-35 = 55.

so my answer is 1.
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Re: Best Be Safe insurance  [#permalink]

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New post 01 Sep 2011, 10:09
well - I still think its E. lets take an example:

total in company 100
90% Cars (and mayb something else) - 90
boats - we can easily assume we can put 10 or 20 people in that section - we have no limitation besides that it should be below 45.

so we can have out of the 90 people that sell car ins, 10 or 20 people that also sell boat ins. therefore - E.

OA - would be appreciated.
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Re: Best Be Safe insurance  [#permalink]

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New post 02 Sep 2011, 02:20
This question is awkward - it does not explain whether the agents sell any other type of insurance other than car insurance and boat insurance.

If they do, the answer would be (E). If they do not, then it is clearly (A).
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Re: Best Be Safe insurance  [#permalink]

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New post 03 Nov 2011, 08:31
If you drawn the table
1) Bold numbers are from the question, and regular numbers are derived.
Boat Not Boat
Car 90
Not Car 10
45 55 100
2) The table for the second part
Boat Not Boat
Car 2X
Not Car
X
Even if you combine both, we do not get desired result. Hence ans is E.
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Re: Best Be Safe insurance  [#permalink]

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New post 04 Nov 2011, 04:32
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Re: What percentage of the agents at Best Be Safe insurance  [#permalink]

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New post 22 Sep 2018, 18:39
This is a Value question, so we need to be able to solve for a single percent of the agents at insurance company X who sell insurance for cars but not for boats.

Evaluate the Statements:

Statement (1): We are told that 90% percent of the agents sell insurance for cars, and 55% of the agents do not sell insurance for boats. We do not know how many of the 55% who do not sell boats also do not sell cars, so Statement (1) is Insufficient.

Statement (1) is Insufficient to answer the question with a single value. Eliminate choices (A) and (D).

Statement (2): We are told that the number of agents who sell insurance for boats is half the number of agents who sell insurance for cars. We are not given information about the number of agents who do not sell boat insurance. Therefore, we do not have sufficient information to answer the question with a single value.

Statement (2) is Insufficient to answer the question with a single percent. We can eliminate choice (B).

Combined: Statement (2) tells us that the number of agents who sell insurance for boats is half the number of those who sell insurance for cars. But Statement (1) gave us the same information. We saw in Statement (1) that 45% of agents sold insurance for boats and 90% for cars. Statement (2) adds no new information to Statement (1). Therefore, we cannot learn anything new by combining the statements; we still cannot determine a single value for the percentage of agents who sell insurance for cars but not for boats.

The two statements combined are Insufficient to answer the question with a single percent. We can eliminate choice (C).

The correct answer is Choice (E).
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Re: What percentage of the agents at Best Be Safe insurance &nbs [#permalink] 22 Sep 2018, 18:39
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