Coffee Person or Tea Person?

Probability Level 2

In a survey of 600 600 students in a school, 150 150 students were found to be taking tea and 225 225 taking coffee, 100 100 taking both tea and coffee. Find how many students were taking neither tea nor coffee.

Try more such problems here.


The answer is 325.

Sandeep Bhardwaj by Sandeep Bhardwaj , 28, India

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

3 solutions

Discussions for this problem are now closed

Nihar Mahajan
Feb 19, 2015

This diagram is self explanatory. This question can be easily done at a glance with the help of Venn diagram.

10 Helpful 0 Interesting 0 Brilliant 0 Confused

@Sandeep Bhardwaj I am waiting for your 1000 followers problem.

Nihar Mahajan - 6 years, 3 months ago

:). It's on the way !

Sandeep Bhardwaj - 6 years, 3 months ago
Vijay Singh
Dec 12, 2014

Total no of students = 600

Students who take Tea(X) = 150

Students who take Coffee(Y) = 225

Students taking both Tea and Coffee(Z) = 100

Based on the above three statement we can come to the following--

Students who take only Tea(A) = X - Z = 50

Students who take only coffee(B) = Y - Z = 125

Students who take neither tea nor coffee = 600 - A - B - Z = 325.

7 Helpful 0 Interesting 0 Brilliant 0 Confused

Good solution...

Sandeep Bhardwaj - 6 years, 6 months ago
Ahsanul Habib
Dec 14, 2014

Total no students taking tea or coffee= n(T)+n(C)-n(TUC) =150+225-100 =275 Students who take neither tea nor coffee= 600-275 =325

1 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...