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

• A. 154
• B. 136
• C. 144
• D. 152

Answer 1

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