The parks department of a certain city administered a survey consistin

Question

The parks department of a certain city administered a survey consisting of 5 yes/no questions. Among the 6,655 completed surveys, there were only 5 distinct patterns in the yes/no responses. For each of these response patterns, the table shows the answers to each of the survey questions for that pattern as well as the number of survey respondents whose completed survey reflected that pattern.

Response Pattern    Survey question response    number of responses         A      B      C      D      E         1   yes  yes  yes  yes  no  2005     2   yes  no  yes  yes  no  120     3   no  yes  yes  yes  no  3512     4   no  yes  no  yes  yes  1006     5   no  no  yes  no  yes  12

For each of the following survey questions, select Majority yes if the information provided indicates that more than half of respondents answered the question yes. Otherwise, select Majority no.

ID: 700277

kychee · Accepted Answer

Total number of responses 
= 2,005 + 120 + 3,512 + 12 + 1,006
= 6,655

"Yes" responses for Question A
= 2,005 + 120
= 2,125 (Clearly less than 50% of total responses, Majority No)

"Yes" responses for Question C
= 2,005 + 120 + 3,512 + 12
= 5,649 (Clearly more than 50% of total responses, Majority Yes)

"Yes" responses for Question E
= 1,006 + 12
= 1,018 (Clearly less than 50% of total responses, Majority No)

Mona2019 · Answer

Number of responses against say row 1 are the number of people who answered yes for a, yes for b ..likewise for c d e.
So adding the number of responses for column a for yes gives 2125, where as number of NO is 3512+1006+12 .. which is greater than yes for a.
So majority have said no for question A

For C it's majority Yes
For E , majority No.

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GmatMaestro · Answer

Response pattern #3 makes up more than half (3512 out of 6655) the survey responses, so whatever their response was to a given question was also the majority response.

rohitsnful3 · Answer

The number of Responses (eg. 2005, 120, etc.) are separately for each answer (yes/no) in each pattern or is it total number of answers against each question in each pattern (like 2005 is total for say "x" answers of question "A" plus say "y" answeres of question "B" etc.)
I assumed it is total. Please explain how can we finalize it in the real GMAT exam in such questions when no clarity in the question?

ivycation2024 · Answer

The data is presented in a weird way, realistically how could number of responses yes for A, B, C, D, and No for E, are all 2005?

cheshire · Answer

It's a response pattern, so that's the way the survey was submitted. 2005 people submitted the survey this way, we then strip the relevant answers from it.

btsaami · Answer

Info to note: 5 yes/no question (a, b, c, d, e)
T=6655
5 distinct pattern (1,2,3,4,5)
Response pattern for each question no. of respondents who marked that question is mentioned.
Question: To find whether majority respond yes or no.
1. Question A: Filter question A to get Yes on top we see 2 yes --> 120 + 2005. This will not be more than half as 1/2*6655 will be 3000 + something.
So Majority answer no.

2. Question C: Repeat above step to filter yes we see 3152 + 2005 +x +y > 1/2 of total or 1/2 of 6655. Hence, majority yes

3. Ques. E: Yes in E gives 1002+12<12/2005. less than half. Hence majority no

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	A	B	C	D	E
Response Pattern	Survey question response					number of responses
1	yes	yes	yes	yes	no	2005
2	yes	no	yes	yes	no	120
3	no	yes	yes	yes	no	3512
4	no	yes	no	yes	yes	1006
5	no	no	yes	no	yes	12

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The parks department of a certain city administered a survey consistin

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