Question 27

Among 45 students of a class, 26 attend Yoga class, 28 attend Gymnastic class and 5 students attend neither Yoga nor Gymnastic class. How many students attend both Yoga and Gymnastic classes?

Solution

Among 45 students of a class, 26 attend Yoga class, 28 attend Gymnastic class and 5 students attend neither Yoga nor Gymnastic class.

The number of students who attend at least one class = 45-5 = 40

Let's assume the number of students who attends both Yoga and Gymnastic classes is 'y'.

So (26-y)+y+(28-y) = 40

54-y = 40

y = 54-40

number of students who attends both Yoga and Gymnastic classes = 14


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