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23 Sep 2025, 01:00
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D
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Difficulty:
25%
(medium)
Question Stats:
74% (01:45) correct
26%
(01:57)
wrong
based on 62
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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.
(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.
23 Sep 2025, 01:21
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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.
1 - P(CnNotT) = 320*0.25. So we can find P(CnT) and P(TnotC) : So Sufficient
2 - P(TnC) = 400/7*320 So we can find both P(CnT) and P(TnotC) : So Sufficient
(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.
1 - P(CnNotT) = 320*0.25. So we can find P(CnT) and P(TnotC) : So Sufficient
2 - P(TnC) = 400/7*320 So we can find both P(CnT) and P(TnotC) : So Sufficient
Weido
23 Sep 2025, 19:42
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Bunuel
Survey of 320 people.
35% said they like tea = 35%(320) = 112.
45% said they like coffee = 45%(320)=144.
When we take a two set Venn diagram ,
The value 112 and 144 includes the common part also. Let’s take the common part to be x. And the part with is not mentioned inside the circle but within the box as n (neither).
112-x + x + 144 - x + n = 320.
256 - x + n = 320.
n - x = 64.
Statement 1:
25 percent of the employees said that they take coffee but not tea.
25%(320) = 80. so, Only coffee = 80.
But, 144 includes people who take only coffee, and those who take coffee with tea = x.
144 = 80+ x
x = 64.
Then, n = 64+x = 128.
% of people who take neither tea or coffee = 128/320. Hence, Sufficient.
Statement 2:
400/7 percent of the employees who said that they take tea also said that they also take coffee.
(400/7)*(1/100)*112 = 64.
64 denotes the number of people who take both tea and coffee.
x = 64.
Then, n = 64+x = 128.
% of people who take neither tea or coffee = 128/320. Hence, Sufficient.
Hence, Option D
Attachment:
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