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At a company wellness fair, 41 employees signed up for at least one of the following: yoga classes, nutrition sessions, and meditation sessions. A total of 18 employees signed up for nutrition sessions, and 14 signed up for meditation sessions. How many employees signed up for all three?
(1) 9 employees signed up for both nutrition sessions and meditation sessions, of whom 2 also signed up for yoga classes.
(2) 27 employees signed up for yoga classes.
(1) 9 employees signed up for both nutrition sessions and meditation sessions, of whom 2 also signed up for yoga classes.
(2) 27 employees signed up for yoga classes.
30 May 2026, 09:36
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Official Solution:
At a company wellness fair, 41 employees signed up for at least one of the following: yoga classes, nutrition sessions, and meditation sessions. A total of 18 employees signed up for nutrition sessions, and 14 signed up for meditation sessions. How many employees signed up for all three?
(1) 9 employees signed up for both nutrition sessions and meditation sessions, of whom 2 also signed up for yoga classes.
This statement says that 9 employees signed up for both nutrition sessions and meditation sessions, and 2 of those also signed up for yoga classes. So exactly 2 employees signed up for all three. Sufficient.
(2) 27 employees signed up for yoga classes.
We know 41 employees signed up for at least one of the three activities, and we know the totals for yoga, nutrition, and meditation are 27, 18, and 14. But we still do not know how those groups overlap. Different overlap patterns can give different values for the number who signed up for all three. Not sufficient.
Answer: A
At a company wellness fair, 41 employees signed up for at least one of the following: yoga classes, nutrition sessions, and meditation sessions. A total of 18 employees signed up for nutrition sessions, and 14 signed up for meditation sessions. How many employees signed up for all three?
(1) 9 employees signed up for both nutrition sessions and meditation sessions, of whom 2 also signed up for yoga classes.
This statement says that 9 employees signed up for both nutrition sessions and meditation sessions, and 2 of those also signed up for yoga classes. So exactly 2 employees signed up for all three. Sufficient.
(2) 27 employees signed up for yoga classes.
We know 41 employees signed up for at least one of the three activities, and we know the totals for yoga, nutrition, and meditation are 27, 18, and 14. But we still do not know how those groups overlap. Different overlap patterns can give different values for the number who signed up for all three. Not sufficient.
Answer: A
