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    Sanjay wants to exactly measure the lengths 7000 mm, 3850 mm and 12950 mm using a single measuring tape. What will be the greatest possible length (in
    Question

    Sanjay wants to exactly measure the lengths 7000 mm, 3850 mm and 12950 mm using a single measuring tape. What will be the greatest possible length (in cm) of the measuring tape?

    A.

    40

    B.

    45

    C.

    35

    D.

    30

    Correct option is C

    7000 mm=700 cm3850 mm=385cm12950mm=1295cm700=22×52×7385=5×7×111295=5×7×377000 mm=700 cm \\3850 mm= 385cm \\12950 mm =1295cm\\700=2^2×5^2×7\\385=5×7×11\\1295=5×7×37\\

    The highest common factor (HCF) is 5×7=355 \times 7 = 355×7=35.

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