6th Class Mathematics Sample Paper Mathematics Sample Paper-3

  • question_answer A merchant has 120 litres of oil of one kind, 180 litres of another kind and 240 litres of a third kind. He wants to sell the oil by filling the three kinds of oil in tins of equal capacity. What should be the greatest capacity of such a tin?

    Answer:

    The greatest capacity of the required measure will be equal to the HCF of 120,180 and 240 L. Prime factorisation of 120,180 and 240

    2 120
    2 60
    3 30
    5 15
    5 5
    1
    2 180
    2 90
    3 45
    5 15
    5 5
    1
    2 240
    2 120
    2 60
    3 30
    5 15
    5 5
    1
    \[120=2\times 2\times 2\times 3\times 5\] \[180=2\times 2x\times 3\times 3\times 5\] \[240=2\times 2\times 2\times 2\times 3\times 5\] Common factors of 120, 180 and\[240=2\times 2\times 3\times 5=60\] Hence, greatest capacity of tin = 60 L.


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