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The table above shows the results of a survey of 100 voters who each r

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The table above shows the results of a survey of 100 voters who each r  [#permalink]

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New post Updated on: 06 Jul 2019, 03:39
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  95% (hard)

Question Stats:

36% (02:25) correct 64% (02:41) wrong based on 55 sessions

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-----------Approve----Disapprove----- No Opinion
Policy A-----30----------- 40------------- 30
Policy B-----25----------- 55------------- 20

The table above shows the results of a survey of 100 voters who each responded “Approve,” “Disapprove,” or “No Opinion” when asked about their opinions on two government policies, Policy A and Policy B. What was the number of voters who responded “Disapprove” for both policies?

(1) 10 voters responded “No Opinion” for both policies and the number of voters who did not respond “No Opinion” for either policy is 400% of the number of voters who responded “Disapprove” for both policies.

(2) The number of voters who did not respond “Disapprove” for either policy was 20.

Bunuel, VeritasKarishma kindly help with this one..!!

Originally posted by Nayyar29 on 05 Jul 2019, 20:17.
Last edited by Nayyar29 on 06 Jul 2019, 03:39, edited 1 time in total.
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Re: The table above shows the results of a survey of 100 voters who each r  [#permalink]

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New post 06 Jul 2019, 03:11
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Nayyar29 please post OA
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Re: The table above shows the results of a survey of 100 voters who each r  [#permalink]

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New post 06 Jul 2019, 03:24
The OA is provided, check the spolier.

Posted from my mobile device
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Re: The table above shows the results of a survey of 100 voters who each r  [#permalink]

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New post 06 Jul 2019, 03:27
Nayyar29 wrote:
The OA is provided, check the spolier.

Posted from my mobile device


Sorry the official explanation.
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The table above shows the results of a survey of 100 voters who each r  [#permalink]

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New post 07 Jul 2019, 22:03
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Nayyar29 wrote:
-----------Approve----Disapprove----- No Opinion
Policy A-----30----------- 40------------- 30
Policy B-----25----------- 55------------- 20

The table above shows the results of a survey of 100 voters who each responded “Approve,” “Disapprove,” or “No Opinion” when asked about their opinions on two government policies, Policy A and Policy B. What was the number of voters who responded “Disapprove” for both policies?

(1) 10 voters responded “No Opinion” for both policies and the number of voters who did not respond “No Opinion” for either policy is 400% of the number of voters who responded “Disapprove” for both policies.

(2) The number of voters who did not respond “Disapprove” for either policy was 20.

Bunuel, VeritasKarishma kindly help with this one..!!


-----------Approve----Disapprove----- No Opinion--------Total
Policy A-----30----------- 40------------- 30--------------100 (How 100 people responded to policy A)
Policy B-----25----------- 55------------- 20--------------100 (How 100 people responded to policy B)
Total -------55-------------95--------------50 (Note that there will be overlap here e.g. some people may have approved of both policies so they will be double counted in 55)

(1) 10 voters responded “No Opinion” for both policies and the number of voters who did not respond “No Opinion” for either policy is 400% of the number of voters who responded “Disapprove” for both policies.
This is what the no opinion venn diagram looks like:
Attachment:
Screenshot 2019-07-08 at 10.16.29.png
Screenshot 2019-07-08 at 10.16.29.png [ 38.71 KiB | Viewed 530 times ]

So 20+10+10 = 40 people had no opinion on at least one policy so 60 had NO "No opinion". 60 responded approve/disapprove to both policies.
60 = 400% of Disapprove for both
Disapprove for both = 15
Sufficient alone.

(2) The number of voters who did not respond “Disapprove” for either policy was 20.
So 80 people responded with "Disapprove" for at least one of the policies.
For the disapprove venn diagram,
80 = 40 + 55 - Both Disapprove
Both Disapprove = 15
Sufficient alone.

Answer (D)
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Re: The table above shows the results of a survey of 100 voters who each r  [#permalink]

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New post 07 Jul 2019, 23:08
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Nayyar29 wrote:
-----------Approve----Disapprove----- No Opinion
Policy A-----30----------- 40------------- 30
Policy B-----25----------- 55------------- 20

The table above shows the results of a survey of 100 voters who each responded “Approve,” “Disapprove,” or “No Opinion” when asked about their opinions on two government policies, Policy A and Policy B. What was the number of voters who responded “Disapprove” for both policies?

(1) 10 voters responded “No Opinion” for both policies and the number of voters who did not respond “No Opinion” for either policy is 400% of the number of voters who responded “Disapprove” for both policies.

(2) The number of voters who did not respond “Disapprove” for either policy was 20.


Here's how I took on the question.

Voters who had "No Opinion" for Policy A = 30, Voters who had "No Opinion" for Policy B = 20

Starting with Statement (1), it is given that 10 voters responded “No Opinion” for both policies

With this, we can find out the voters who had "No Opinion" ONLY for Policy A = 30 - 10 = 20; similarly, voters who had "No Opinion" ONLY for Policy B = 20 - 10 = 10

Now, the total number of voters who responded "No Opinion" = 40 (20 (ONLY A) + 10 (ONLY B) + 10 (BOTH)), and hence, the total number of voters who did not respond "No Opinion" = 100 - 40 = 60, and this is 400% of the number of voters who responded “Disapprove” for both policies (as given in Statement 1), and hence, the number of voters who responded “Disapprove” for both policies = 15

Statement (1) is SUFFICIENT;

Now looking at Statement (2), number of voters who did not respond “Disapprove” for either policy was 20

Voters who responded "Disapprove" for A = 40; Voters who responded "Disapprove" ONLY for A = 40 - (Both) [Both refers to the voters who responded "Disapprove" for both the policies]

Voters who responded "Disapprove" for B = 55; Voters who responded "Disapprove" ONLY for B = 55 - (Both)

Now, simply writing this as 40 - Both + 55 - Both + Both + 20 = 100

115 - 100 = Both

And hence, the number of voters who responded “Disapprove” for both policies = 15

Statement (2) is SUFFICIENT;

Since both statements are individually sufficient to arrive at the answer, the correct answer choice here is (D)

PLEASE HIT KUDOS IF YOU LIKE MY SOLUTION
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Re: The table above shows the results of a survey of 100 voters who each r  [#permalink]

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New post 04 Aug 2019, 04:08
Isn't this question incorrect? If disapprove both is 15, then of the 60 people who approve or disapprove, 80 would be people who disapprove
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Re: The table above shows the results of a survey of 100 voters who each r   [#permalink] 04 Aug 2019, 04:08
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