SSC Sample Paper SSC CGL - Sample Paper-20

  • question_answer
    A man has a certain number of small boxes to pack into parcels. If he packs 3, 4, 5 or 6 in a parcel, he is left with one over, if he packs 7 in a parcel, none is left over. What is the number of boxes, he may have to pack?

    A) 106                              

    B) 301    

    C) 309                              

    D) 400

    Correct Answer: B

    Solution :

    Clearly, the required number would be such that it leaves a remainder of 1 when divided by 3, 4, 5 or 6 and no remainder when divided by 7. Thus, the number must be of the form (LCM of 3, 4, 5, 6) x+1 i.e., \[(60x+1)\] and a multiple of 7. Clearly, for x = 5, the number is a multiple of 7. So, the number is 301.


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