Multiple Choice Questions on A rectangular courtyard 3 78 meters long 5 25 meters wide is to be paved exactly with square ti........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

A rectangular courtyard 3 78 meters long 5 25 meters wide is to be paved exactly with square ti...........

Quantitative Aptitude ( CCS) LCM, HCF
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    A rectangular courtyard 3.78 meters long 5.25 meters wide is to be paved exactly with square  tiles, all of the same size. what is the largest size of the tile which could be used for the purpose?

    14cm

    Incorrect Answer

    21cm

    Correct Answer

    42cm

    Incorrect Answer

    none of these

    Incorrect Answer
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    Explanation:

    3.78 meters =378 cm = 2 × 3 × 3 × 3 × 7

    5.25 meters=525 cm = 5 × 5 × 3 × 7

    Hence common factors are 3 and 7

    Hence LCM = 3 × 7 = 21

    Hence largest size of square tiles that can be paved exactly with square tiles is 21 cm.

    Hence, option 2 is the correct answer.

    By: Amit Kumar
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