GATE Questions

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To find the largest 4 digit number exactly divisible by 88,

We should divide the largest possible 4 digit number by 88, and if we get any remainder than subtract it from that largest number.

The largest possible 4 digit number is 9999

Now,

88) 9999 (113
      88
  _______
      119
        88
  _______
        319
        264
  _______
          55
  _______

Therefore, the largest 4 digit number exactly divisible by 88 is given by

9999 - 55 = 9944.

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