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31 Mar 2017, 03:56
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
47% (02:57) correct
53%
(03:06)
wrong
based on 172
sessions
History
Date
Time
Result
Not Attempted Yet
Six people in a company cafeteria for lunch are only eating from the salad bar and the soup bar, 10 people are only eating from the sandwich station, and 15 people are only eating from the salad bar and the sandwich station. Only 3 people are eating from all three options, while 8 people are eating neither sandwiches nor salads. If no one is eating a combination from the soup bar and sandwich station, how many of the 70 people eating in the cafeteria are consuming salad?
A. 13
B. 24
C. 28
D. 45
E. 52
A. 13
B. 24
C. 28
D. 45
E. 52
31 Mar 2017, 10:45
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Answer is E. 52
Solution attached
Solution attached
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03 Jun 2018, 00:17
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Bunuel
Trying to see why the formula here doesn't work?
Soup = 8
Sandwich = 10
Salad = X
Exactly Two Overlaps = 6 + 15 = 21
All Three = 3
I get 70 = 10 + 8 + x - 21 - 2(3) which isn't getting me the right answer.
Luckily, I was able to quickly draw out the venn diagram solution to get to the answer, but wanted to see where I went wrong with applying the formula.
03 Jun 2018, 13:54
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wchin24
Because, in the formula we need to put = 17 + 28 + x - 21 - 6 = 70. x = 52.
10 and 8 are individual values only without including the common values for both the sandwiches and soups. It will be 10 + 15 + 3 = total number of sandwiches.
