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Banking Quantitative Aptitude Sample Paper Quantitative Aptitude Sample Paper-36

  • question_answer
    What is the least number which, when divided by 5, 6, 7 and 8 gives the remainder 3 but is divisible by 9?                                                                                                         [SSC (CGL) 2001, (CPO) 2009]

    A) 1463                

    B) 1573

    C) 1683

    D) 1793

    Correct Answer: C

    Solution :

    LCM of \[5,\]\[6,\]\[7,\]\[8=35\times 24=840\]
    \[\therefore \]Required number \[840x+3,\]such that it is exactly divisible by 9.
    By Hit and Trial,
    For \[x=2,\] it is divisible by 9.
    \[\therefore \]Required number \[=840x+3\]
    \[=840\times 2+3=1683\]
    (these types of questions can be solved with the help of given options)
    So, out of all the given options, only 1683 is divisible by 9.


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