Q. 13 In a survey of 600 students in a school, 150 students were found to be taking tea and 225 taking coffee, 100 were taking both tea and coffee. Find how many students were taking neither tea nor coffee?
n ( taking tea) = 150
n (taking coffee) = 225
n ( taking both ) = 100
n(people taking tea or coffee) = n ( taking tea) + n (taking coffee) - n ( taking both )
= 150 + 225 - 100
=375 - 100
= 275
Total students = 600
n(students taking neither tea nor coffee ) = 600 - 275 = 325
Hence,325 students were taking neither tea nor coffee.