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# In a company survey, 1000 employees were each asked whether they take

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Math Expert
Joined: 02 Sep 2009
Posts: 58449
In a company survey, 1000 employees were each asked whether they take  [#permalink]

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04 Oct 2018, 00:09
1
00:00

Difficulty:

5% (low)

Question Stats:

90% (01:21) correct 10% (01:13) wrong based on 43 sessions

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In a company survey, 1000 employees were each asked whether they take tea or coffee. As per the survey, 60 percent of the employees take tea, 62 percent take coffee, and 35 percent take both tea and coffee. How many employees surveyed take neither tea nor coffee?

(A) 110
(B) 130
(C) 170
(D) 220
(E) 350

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Re: In a company survey, 1000 employees were each asked whether they take  [#permalink]

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04 Oct 2018, 00:17
1
Bunuel wrote:
In a company survey, 1000 employees were each asked whether they take tea or coffee. As per the survey, 60 percent of the employees take tea, 62 percent take coffee, and 35 percent take both tea and coffee. How many employees surveyed take neither tea nor coffee?

(A) 110
(B) 130
(C) 170
(D) 220
(E) 350

Total = Tea taker + Coffee takers - Both takers - None takers

1000 = 600 + 620 - 350 + None takers

None Takers = 1000-870 = 130

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Re: In a company survey, 1000 employees were each asked whether they take  [#permalink]

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04 Oct 2018, 00:19
Bunuel wrote:
In a company survey, 1000 employees were each asked whether they take tea or coffee. As per the survey, 60 percent of the employees take tea, 62 percent take coffee, and 35 percent take both tea and coffee. How many employees surveyed take neither tea nor coffee?

(A) 110
(B) 130
(C) 170
(D) 220
(E) 350

Solved using double matrix

Those who drink tea are 600 and those who don’t are 400.

Those whoe drink coffee are 620 and those who don’t are 380

Those who drink both are 350

From that we can find out those who drink tea but not coffee = 600-350 = 250

And from this we can find out the number of those who drink neither coffee nor tea

380-250 = 130

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Re: In a company survey, 1000 employees were each asked whether they take   [#permalink] 04 Oct 2018, 00:19
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