Study the following diagram carefully and answer the question given below. In…

2023

Study the following diagram carefully and answer the question given below. In the diagram, a square represents a boy and a circle represents a girl, and each student is seated on one of the three benches shown.

On which bench are there three students?

  1. A.

    Bench I

  2. B.

    Bench II

  3. C.

    Bench III

  4. D.

    Bench I or II

Show answer & explanation

Correct answer: A

Concept: In a diagram-based counting question, the total number of students seated on a given bench equals the number of distinct symbols (boys marked as squares, girls marked as circles) drawn directly under that bench's label - count every symbol in the group, regardless of gender, before comparing benches.

  1. Bench I shows three symbols - A and E drawn as squares (boys) and D drawn as a circle (girl) - so Bench I seats three students in total.

  2. Bench II shows two symbols - F as a square (boy) and B as a circle (girl) - so Bench II seats two students.

  3. Bench III shows two symbols - G as a square (boy) and C as a circle (girl) - so Bench III seats two students.

Cross-check: Adding the three benches gives 3 + 2 + 2 = 7 students, which matches all seven labelled students (A, B, C, D, E, F, G) shown in the diagram - confirming every student was counted exactly once and only one bench reaches a count of three.

Therefore, Bench I is the bench with three students.

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