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# If 60 percent of respondents answered Yes to the first question of a

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Math Expert
Joined: 02 Sep 2009
Posts: 51281
If 60 percent of respondents answered Yes to the first question of a  [#permalink]

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01 Aug 2018, 23:43
00:00

Difficulty:

25% (medium)

Question Stats:

77% (01:45) correct 23% (02:08) wrong based on 31 sessions

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If 60 percent of respondents answered Yes to the first question of a survey, 35 percent answered Yes to the second question, and 15 percent answered No to both questions, what percent of the respondents answered Yes to both questions?

A. 10%
B. 25%
C. 40%
D. 55%
E. 70%

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Posts: 3327
Location: India
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If 60 percent of respondents answered Yes to the first question of a  [#permalink]

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02 Aug 2018, 00:19
Bunuel wrote:
If 60 percent of respondents answered Yes to the first question of a survey, 35 percent answered Yes to the second question, and 15 percent answered No to both questions, what percent of the respondents answered Yes to both questions?

A. 10%
B. 25%
C. 40%
D. 55%
E. 70%

Let's assume 100 people took the Survey.

Exactly (60)60% answered YES for the first question -> 40 answered NO for the first question
Since (35)35% answered YES for the 2nd question -> 65 answered NO for the second question.

As a total of 15 answered NO for both the questions, 40 + 65 - 15 = 90 answered NO for both
the questions. This also means that 100 - 90 or 10 people answered YES to both the questions.

Therefore, the percentage of respondents who answered YES for both questions is $$\frac{10}{100} =$$10%(Option A)
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Re: If 60 percent of respondents answered Yes to the first question of a  [#permalink]

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02 Aug 2018, 00:22
1
Bunuel wrote:
If 60 percent of respondents answered Yes to the first question of a survey, 35 percent answered Yes to the second question, and 15 percent answered No to both questions, what percent of the respondents answered Yes to both questions?

A. 10%
B. 25%
C. 40%
D. 55%
E. 70%

Assuming the class size as 100 we get the Answer as 10 as per below.
Attachments

Capture1.PNG [ 2.4 KiB | Viewed 580 times ]

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Re: If 60 percent of respondents answered Yes to the first question of a &nbs [#permalink] 02 Aug 2018, 00:22
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