Multiple Choice Questions on Find the least number which when divided by 2 5 9 and 12 leaves a remainder 3 but leaves no remainde........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

Find the least number which when divided by 2 5 9 and 12 leaves a remainder 3 but leaves no remainde...........

Quantitative Aptitude ( CCS) LCM, HCF
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    Find the least number which when divided by 2, 5, 9 and 12 leaves a remainder 3 but leaves no remainder when same number is divided by 11.

    281

    Incorrect Answer

    357

    Incorrect Answer

    360

    Incorrect Answer

    363

    Correct Answer
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    Explanation:

    LCM(2, 5, 9, 12) = 180
    So the number will be somewhat = 180x + 3
    This number leaves no remainder when divided by 11, so x = 2 to get (180x+3) fully divided by 11
    So number = 180*2 + 3 = 363

    Hence, option 4 is the correct answer.

    By: Amit Kumar
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