GATE 2016 CS (CS2) – Question 6

General Aptitude · Quantitative Aptitude: Data Interpretation, Arithmetic and Number Computation · 2 marks · Multiple choice

Among 150 faculty members, 55 are connected through Facebook and 85 through WhatsApp. Thirty have neither account. How many are connected only through Facebook?

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Correct answer: (A) 35

Explanation

The union has 150 − 30 = 120 members. Inclusion–exclusion gives intersection 55 + 85 − 120 = 20. Facebook-only membership is 55 − 20 = 35, A.

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