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Questions ( 11 )
  • Show that abcabc is divisible by 11.

  • When a 3-digit number 3m9 is added to 189, the sum 5n8 is divisible by 9. Find the value of m + n

  • m1725n is devisible  by 4. The remainder is 5 when it is devided by 11. Find m + n

  • A 9-digit number is formed by using each of the numbers 1, 2, 3, 4, ... 9 exactly once. What is the greatest number that is divisible by 11?

  • If n is a positive integer, which of the following statements about n2 + n +2 is true ?

  • Find the value of x1 if 7 | 888...888(43 8s) x2 999...999(43 9s).

  • Find the values of m in 9 | mm2m2m2mm.

  • How many integers smaller than 2002 are multiples of 3, but not multiples 3

  • what is the greatest possible value of a x b if 12 | a724b ?

  • Today is Sunday. On which day of the week is 13 + 23 + 33 + ... + 20083 days later from tomorrow?

  • A 6-digit number, abcdef, is formed from 1, 2, 3, 4, 5, 6.

    abcdef is divisible by 6

    abcde is divisible by 5

    abcd is divisible by 4, abc is divisible by 3 and ab by 2

    what is the 6-digit number?

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