Question : Directions: An office has a total of 95 employees. Each employee participates in one or more of three activities, i.e. music, dance, and skit, during the annual festival. The number of employees participating in only music is 20, whereas 14 participate in only skit, and 17 participate in only dance. A total of 8 employees participate in both music and skit only, 12 employees participate in all three activities, and 15 employees participate in both dance and skit only, whereas 9 employees participate in both music and dance only. Find the total number of employees participating in the skit.
Option 1: 58
Option 2: 47
Option 3: 55
Option 4: 49
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Correct Answer: 49
Solution :
Given:
Total number of employees = 95.
(I) Number of employees participating in only music = 20
(II) Number of employees participating in only skit =14
(III) Number of employees participating in only dance = 17
(IV) Number of employees participating in both music and skit = 8
(V) Number of employees participating in all three activities =12
(VI) Number of employees participating in both dance and skit = 15
(VII) Number of employees participating in both music and dance = 9
According to the instructions the venn diagram is given below:
Total employees participating in the skit = 14 + 8 + 12 + 15 = 49
So, the employees participating in the skit are equal to 49. Hence, the fourth option is correct.
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