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Class size from two ranks

In a class, a student is 9th from the top and 26th from the bottom. How many students are in the class?

Show the answer and the worked solution

Correct answer: B.

34

Worked solution

  1. Total = 9 + 26 − 1 = 34.

Answer: 34.

The idea

The student is counted in both ranks, so subtract one. Adding without the correction gives 35, the offered trap.

Shortcut. Count the others: 8 students rank above him and 25 below, so the class is 8 + 25 + 1 = 34.

Common trap. 35 — adding 9 and 26 directly, which counts the student himself twice.

Class size from two ranks — Aptitude Question

Class size from two ranks: In a class, a student is 9th from the top and 26th from the bottom. Answer and worked solution on CodeKairo.

Question

In a class, a student is 9th from the top and 26th from the bottom. How many students are in the class?

Options

  1. 33
  2. 34
  3. 35
  4. 36
Show the answer and the worked solution

Correct answer: B. 34

Worked solution

  1. Total = 9 + 26 − 1 = 34.

Answer: 34.

The idea

The student is counted in both ranks, so subtract one. Adding without the correction gives 35, the offered trap.

Shortcut. Count the others: 8 students rank above him and 25 below, so the class is 8 + 25 + 1 = 34.

Common trap. 35 — adding 9 and 26 directly, which counts the student himself twice.

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