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How many natural numbers less than 200 and divisible by:A) 4, but not divisible by 12B) 4, but not divisible by 3C) 6, but not divisible by 5D) both 6 and 9

User Zafir
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1 Answer

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The number divisible by 4 and less than 200 are: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148, 152, 156, 160, 164, 168, 172, 176, 180, 188, 192, 196, 200.

A) 4, but not divisible by 12.

The numbers are 4, 8, 16, 20, 28, 32, 40, 44, 52, 56, 64, 68, 76, 80, 88, 92, 100, 104, 112, 116, 124, 128, 136, 140, 148, 152, 160, 164, 172, 176, 188, 196, 200.

B) 4, but not divisible by 3.

The numbers are 4, 8, 16, 20, 28, 32, 40, 44, 52, 56, 64, 68, 76, 80, 88, 92, 100, 104, 112, 116, 124, 128, 136, 140, 148, 152, 160, 164, 172, 176, 188, 196, 200.

C) 6, but not divisible by 5

The numbers are 12, 18, 24, 36, 42, 48, 54, 66, 72, 78, 84, 96, 102, 108, 114 126, 132, 138, 144, 156, 162, 168, 174, 186, 192, 198.

D) both 6 and 9.

18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198.

User Amirouche
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