A school has 100 students distributed among 1st to 10th standards. Based on…

2026

A school has 100 students distributed among 1st to 10th standards.

Based on this, which one of the following statements is always correct?

Answer: A. There are at least 10 students who belong to the same standard.Distributing \(100\) students among \(10\) standards guarantees that some standard contains at least \(\lceil 100/10 \rceil = 10\) students by the pigeonhole…

  1. A.

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

  2. B.

    There is at least one student in each standard.

  3. C.

    There are at most 10 students in 10th standard.

  4. D.

    The total number of students from 1st to 5th standards is at least 50.

Attempted by 5 students.

Show answer & explanation

Correct answer: A

Distributing \(100\) students among \(10\) standards guarantees that some standard contains at least \(\lceil 100/10 \rceil = 10\) students by the pigeonhole principle.

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