How many numbers are there from 3 to 100 which are divisible by 4 and either unit digit or tenth digit or both include 4 ?

10
11
19
less than 10

The correct answer is (b), 11.

A number is divisible by 4 if the last two digits are divisible by 4. The numbers from 3 to 100 that are divisible by 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, and 96.

Of these numbers, the following numbers have either unit digit or tenth digit or both include 4:

  • 4, 14, 24, 34, 44, 54, 64, 74, 84, 94
  • 40, 48, 56, 64, 72, 80, 88, 96

Therefore, there are 11 numbers from 3 to 100 that are divisible by 4 and either unit digit or tenth digit or both include 4.

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