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# A survey of all the 100 employees in an organization revealed that 50%

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A survey of all the 100 employees in an organization revealed that 50%  [#permalink]

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07 Aug 2017, 19:24
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Difficulty:

45% (medium)

Question Stats:

54% (01:01) correct 46% (01:12) wrong based on 41 sessions

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A survey of all the 100 employees in an organization revealed that 50% take tea and 50% take coffee. How many employees in the organization take neither tea nor coffee?

(1) none of employees take both tea and coffee.
(2) The survey included only those employees who take either tea or coffee.

Source- Aristotle

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A survey of all the 100 employees in an organization revealed that 50%  [#permalink]

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07 Aug 2017, 21:28
Formula used:
P(Total) = P(Tea) + P(Coffee) - P(Both) + P(Neither) -> (1)
P(Tea) = P(Only Tea) + P(Both)
P(Coffee) = P(Only Coffee) + P(Both)

Given data : P(Tea) = P(Coffee) = 50
P(Total) = 100

1. 0 employees take both tea and coffee.
P(Both) = 0, putting this value in the equation (1)
we will get P(Neither) = 0(Sufficient)

2. The survey included only those employees who take either tea or coffee.
P(Neither) = 0 and this answers the question straight-away(Sufficient) (Option D)
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A survey of all the 100 employees in an organization revealed that 50%   [#permalink] 07 Aug 2017, 21:28
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