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Largest common measure: HCF of lengths (tiles, square pieces, walking speed)

This type of question, asked 3 times: CDS 1 2023, CDS 1 2024, CDS 1 2026. All 3 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    CDS 1 2023

    63
    A floor of a big hall has dimensions 30 m 60 cm and 23 m 40 cm. It is to be paved with square tiles of same size. What is the minimum number of tiles required ?

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  2. Question 2

    CDS 1 2024

    22
    A plank of wood 4.25 m long and 3.4 m wide is to be cut into square pieces of equal size. How many square pieces of largest size can be cut from the plank, if no wastage is allowed ?

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  3. Question 3

    CDS 1 2026

    26
    What is the greatest possible speed at which a person can walk 13.3 km and 20.9 km so that the time (in hours) required in each case is a whole number ?

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