Multiple Choice Questions on A number when divided by 36 24 and 16 leaves the remainder 11 in each case Find the smallest v........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

A number when divided by 36 24 and 16 leaves the remainder 11 in each case Find the smallest v...........

Quantitative Aptitude ( CCS) LCM, HCF
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     A number when divided by 36, 24 and 16, leaves the remainder 11 in each case. Find the smallest value of this number.

    155

    Correct Answer

    145

    Incorrect Answer

    165

    Incorrect Answer

    198

    Incorrect Answer
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    Explanation:

    Here smallest (least) number is needed that means we need the LCM
    We must first find LCM of 36, 24 and 16
    ∴ LCM = 4 x 3 x 2 x 2 x 1 x 3 = 144
    Since remainder is same just add it to this LCM
    Number = 144 + 11 = 155

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