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GATE 2026 PH – Question 5

General Aptitude · Quantitative Aptitude: Arithmetic and Number Computation · 1 mark · Multiple choice

In a group of students, 10 students like Mathematics, 12 students like English, 4 students like both Mathematics and English, and 6 students like neither Mathematics nor English. The number of students in the group is ____

  1. 18
  2. 20
  3. 24
  4. 32

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Correct answer: (C) 24

Explanation

Use the inclusion-exclusion principle.

**Students who like at least one of the two subjects:**
$$|M\cup E|=|M|+|E|-|M\cap E|=10+12-4=18 .$$

**Add those who like neither:**
$$18+6=\mathbf{24}.$$