The number of five-digit numbers, greater than 40000 and divisible by 5 , which can be formed using the…

The number of five-digit numbers, greater than 40000 and divisible by 5, which can be formed using the digits 0, 1, 3, 5, 7 and 9 without repetition, is equal to
  1. 132
  2. 120
  3. 72
  4. 96

Solution

We need to find the number of 5 digit numbers greater than 40000 and divisible by 5.

Case I : Numbers start with 5.

Here if the number starts with 5 it should end with 0 to be divisible by 5.

Case II : Number starts with 7 and the last digit can have 0 or 5.

Case III : The number starts with 9 and the last digit should have 0 or 5.

Total numbers =120.

Hence this is the correct option.

Asked in: JEE Main 2023 (12 Apr Shift 1)

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