Chemegate

GATE 2026 Chemical Engineering, Q5 · General Aptitude

The correct answer is C, 24.

Question

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 ____

  • A. 18
  • B. 20
  • C. 24
  • D. 32

Official answer: 24

Why

GATE 2026 official key: (C). By inclusion-exclusion, Math English = 10+12−4 = 18; adding the 6 who like neither gives 18+6 = 24.

Explanation cross-checked for consistency. Final answer matches the official IIT answer key.