Multiple Choice Questions on 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 sq........... for CDS Exam Preparation

LCM, HCF

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    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 ?

    This questions was previously asked in
    2024 CDS -1 MATH

    20

    Correct Answer

    40

    Incorrect Answer

    400

    Incorrect Answer

    50

    Incorrect Answer
    Explanation:

    Correct option:1 

    Solution:Given that  a plank of wood 4.25 m long and 3.4 m wide is to be cut into square pieces of equal size.

    The problem requires cutting the plank into square pieces with no wastage.

    The dimensions of the plank are 4.25 m by 3.4 m.

    The largest possible square size, we calculate the HCF of 4.25 m and 3.4 m.

     The HCF of 425 cm and 340 cm is 85 cm.

    Thus, the largest square piece is 85 cm x 85 cm.

    The number of such squares= 425 cm / 85 cm = 5

     Along the width: 340 cm / 85 cm = 4

    Total number of squares = 5 * 4 = 20.

    Correct Answer: Option 1 - 20 (The actual answer should be 20, not in the provided options)

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