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,

64 288 64 288 64S117.2 64 74.6 75.5c-23.5 6.3-42 24.9-48.3 48.6-11.4 42.9-11.4 132.3-11.4 132.3s0 89.4 11.4 132.3c6.3 23.7 24.8 41.5 48.3 47.8C117.2 448 288 448 288 448s170.8 0 213.4-11.5c23.5-6.3 42-24.2 48.3-47.8 11.4-42.9 11.4-132.3 11.4-132.3s0-89.4-11.4-132.3zm-317.5 213.5V175.2l142.7 81.2-142.7 81.2z"/> Subscribe on YouTube
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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