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03 May 2022, 07:15
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Of the 50 members of a staff, 40 percent worked the day shift and the remaining 60 percent worked the night shift in a given week. Of the staff members, 80 percent prefer working the day shift and the remaining 20 percent prefer working the night shift. What is the minimum number of staff members who failed to receive his or her preference of shift that week?
A. 15
B. 17
C. 20
D. 25
E. 30
A. 15
B. 17
C. 20
D. 25
E. 30
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03 May 2022, 07:39
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Out of 50, 40% are in day shift = 0.4*50 = 20 & 60% are in night shift = 30.
But, 80% of 50 prefer day shift = 0.8*50 = 20 & 20% of 50 prefer night shift = 10.
We need to find the minimum no. of people who did not get their desired shift. Since slots for the night shift(30) are greater than the people who desired it (10). We can assume that among those 30-night shift slots, 10 were occupied by the ones who wanted the night shift. So, whoever wanted the night shift got the night shift.
But, for the day shifts the no. of slots (20) is less than the number of people who desired it (40). So, there are going to be 20 people who did not get what they desired. Thus, 20 is the correct choice. (C)
But, 80% of 50 prefer day shift = 0.8*50 = 20 & 20% of 50 prefer night shift = 10.
We need to find the minimum no. of people who did not get their desired shift. Since slots for the night shift(30) are greater than the people who desired it (10). We can assume that among those 30-night shift slots, 10 were occupied by the ones who wanted the night shift. So, whoever wanted the night shift got the night shift.
But, for the day shifts the no. of slots (20) is less than the number of people who desired it (40). So, there are going to be 20 people who did not get what they desired. Thus, 20 is the correct choice. (C)
28 Nov 2024, 12:24
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Can someone help me with this question?
If we change the question stem to: What is the maximum number of staff members who failed to receive his or her preference of shift that week? Will that be 40?
If we change the question stem to: What is the maximum number of staff members who failed to receive his or her preference of shift that week? Will that be 40?
