Multiple Choice Questions on A heap of stones can be made up into groups of 21 When made up into groups of 16 20 25 and 45 ........... for RRB(NTPC) Exam Preparation

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Multiple Choice Questions

A heap of stones can be made up into groups of 21 When made up into groups of 16 20 25 and 45 ...........

Quantitative Aptitude (RRB NTPC) LCM, HCF
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      A heap of stones can be made up into groups of 21. When made up into groups of 16, 20, 25 and 45 there are 3 stones left in each case. How many stones at least can there be in the heap?

    7203

    Correct Answer

    2403

    Incorrect Answer

    3603

    Incorrect Answer

    4803

    Incorrect Answer
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    Explanation:

    L.C.M of 16, 20, 25 and 45 = 3600

    So 3600×n + 3 should be divisible by 21.
    Put n = 1,2,3.............so on.

    1st number = 3600 * 1 + 3 = 3603 which is not divisible by 21.
    2st number = 3600 * 2 + 3 = 7203 which is divisible by 21.

    So there can be minimum 7203 stones in the heap.

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