6th Class Mathematics Playing with Numbers Question Bank Playing with Numbers

  • question_answer The two numbers nearest to 10000 which are exactly divisible by each of 2, 3, 4, 5, 6 and 7, are _________.

    A)  9660, 10080

    B)  9320, 10080

    C)  9660, 10060

    D)  10340, 10080

    Correct Answer: A

    Solution :

     The numbers which are exactly divisible by 2, 3, 4, 5, 6 and 7 are the multiples of the LCM of the given numbers. \[\therefore \] \[\text{LCM= 2}\times \text{2}\times \text{3}\times \text{5}\times \text{7=420}\] Now, dividing 10000 by 420, we get remainder = 340 \[\therefore \] Number just less than 10000 and exactly divisible by the given numbers = 10000 - 340 = 9660 Number just greater than 10000 and exactly divisible by the given numbers = 10000 + (420 - 340)=10080

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