Among 170 students of a class, 155 students participate in one or more of the three classes: Guitar, Drum and Violin. Total 21 students participate on any and only two of three classes. 54 students participate in Drum class only, whereas 43 students participate in Violin class only. 5 students participate in all the three classes. How many students participate in Guitar class only?
Among 170 students of a class, 155 students participate in one or more of the three classes: Guitar, Drum and Violin. Total 21 students participate on any and only two of three classes. 54 students participate in Drum class only, whereas 43 students participate in Violin class only. 5 students participate in all the three classes. How many students participate in Guitar class only? Correct Answer 32
There is a total of 170 students in a class.
Out of which 155 students participate in one or more of the three classes: Guitar, Drum, and Violin.
170 - 155 = 15 students who didn't participate in any of the activities.
54 students participate in the Drum class only.
43 students participate in Violin class only.
5 students participate in all three classes.
Total 21 students participate in any and only two of three classes.
Using the above information and drawing the Venn diagram we get.
As the given total of 21 students participates in any and only two of three classes.
A + B + C = 21
54 + 5 + 43 + X + (A + B + C) = 155
102 + 21 + X = 155
X = 155 - 123
X = 32.
Hence, the correct answer is "32".
