Skip to content
Related Articles

Related Articles

Improve Article

GATE | GATE-IT-2004 | Question 2

  • Difficulty Level : Medium
  • Last Updated : 28 Jun, 2021
In a class of 200 students, 125 students have taken Programming Language course, 85 students have taken Data Structures course, 65 students have taken Computer Organization course; 50 students have taken both Programming Language and Data Structures, 35 students have taken both Data Structures and Computer Organization; 30 students have taken both Data Structures and Computer Organization, 15 students have taken all the three courses.How many students have not taken any of the three courses?

 
(A) 15
(B) 20
(C) 25
(D) 35


Answer: (C)

Explanation:

P(AUBUC)=P(A)+P(B)+P(C)- P(A∩B)-P(A∩C)- P(B∩C)+P(A∩B∩C)
125+85+65-503530+15 =175

No of students not taking any courses-> 200175=25

So C is the Answer.

Quiz of this Question

Attention reader! Don’t stop learning now.  Practice GATE exam well before the actual exam with the subject-wise and overall quizzes available in GATE Test Series Course.

Learn all GATE CS concepts with Free Live Classes on our youtube channel.

My Personal Notes arrow_drop_up
Recommended Articles
Page :