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GATE 2026 Chemical Engineering, Q3 · General Aptitude

The correct answer is A, There are at least 10 students who belong to the same standard..

Question

A school has 100 students distributed among 1st to 10th standards. Based on this, which one of the following statements is always correct?

  • A. There are at least 10 students who belong to the same standard.
  • B. There is at least one student in each standard.
  • C. There are at most 10 students in 10th standard.
  • D. The total number of students from 1st to 5th standards is at least 50.

Official answer: There are at least 10 students who belong to the same standard.

Why

GATE 2026 official key: (A). By the pigeonhole principle, 100 students across 10 standards forces at least one standard to have ⌈100/10⌉ = 10 or more students.

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

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