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In a survey of 320 employees, 35 percent said that they take tea, and

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In a survey of 320 employees, 35 percent said that they take tea, and  [#permalink]

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New post 25 Oct 2018, 02:12
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A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

65% (02:01) correct 35% (01:46) wrong based on 78 sessions

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In a survey of 320 employees, 35 percent said that they take tea, and 45 percent said that they take coffee. What percent of those surveyed said that they take neither tea nor coffee?

(1) 25 percent of the employees said that they take coffee but not tea.
(2) 400/7 percent of the employees who said that they take tea also said that they also take coffee.

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Re: In a survey of 320 employees, 35 percent said that they take tea, and  [#permalink]

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New post 25 Oct 2018, 04:05
The answer is C.

This answer is best solved Logically - there's no need to actually solve it, but only to examine if there is enough information to do so.

There are 4 potential groups: just coffee, just tea, both, and neither. We need to find one (neither), so we need the 3 others in order to find it.
Starting off, we have none of the groups (knowing how many took coffee or tea doesn't tell us the size of any of the 4 groups). 1) and 2) on their own don't bridge this gap - neither is enough to know the size of 3 of the groups.
combined, however, we do have enough info: 1) tells us the size of a) just coffee, from which we can find b) both. from 2) we can find c) just tea - that's enough to find d) neither!!! answer C.
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Re: In a survey of 320 employees, 35 percent said that they take tea, and  [#permalink]

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New post 25 Oct 2018, 08:34
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I dont know if this is right but

Q: asks for people who neither drink coffee nor tea. Total = 100 ; T=35 ; C=45 . I guess we do not need to consider the 320 people because question is about percentage and Coffee and Tea drinker are given in percentage.

Formula: Total=T+C - BOTH + NEITHER --> 100=35+45 -Both + Neither
Q asks for Neither so any statement that can give us -Both would be sufficient.

S1: 25% said Coffee yes, tea no --> so only coffee = 45-25= 20% only drink coffee; 20 is the both value ; Neither= 100-35-45+20 = 40
S2: 400/7 percent of tea drinker also drink coffee. --> 400/7 percent = 400/7*100 (bc. of percent) = 4/7 so Both value= 4/7*35= 20 ; again Neither=100-35-45+20=40

Both statements are alone sufficient, Hence D.

Since both answers yield me the same result Both=20 ; Neither=40 I hope it is right.
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Re: In a survey of 320 employees, 35 percent said that they take tea, and   [#permalink] 25 Oct 2018, 08:34
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In a survey of 320 employees, 35 percent said that they take tea, and

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