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Question

The number of natural numbers less than 1000 that are divisible by 5 in which no digit occurs more than once in the same number is
  1. 154
  2. 136
  3. 144
  4. 152


Solution

The correct option is A 154
Number of 3 digit numbers that end with 5(– –5) = 8.8 = 64 (0 can’t be first place)
Number of 3 digit numbers that end with 0(– –0) = 9.8 = 72
Number of 2 digit numbers that end with    5(–5) = 8     = 8
Number of 2 digit numbers that end with    0(– 0) = 9    = 9
Single digit number that ends with 5 is 1
Total     = 154

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