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SSC Sample Paper SSC CGL - Sample Paper-22

  • question_answer
    What is the smallest positive integer which when divided by 4, 5, 8, 9 leaves remainder 3, 4, 7, 8 respectively?

    A) 119                              

    B) 319

    C) 359      

    D) 719

    Correct Answer: C

    Solution :

    Here,     \[4-3=5-4=8-7=9-8=1\] Now,     \[4=2\times 2\]             \[5=5\]             \[8=2\times 2\times 2\]             \[9=3\times 3\] \[\therefore \]      \[\text{LCM}=5\times 2\times 2\times 2\times 3\times 3=360\] Hence, required number \[=360-1=359\]              


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