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Which of the numbers given below is exactly divisible by 12?

  1. A
    14744
  2. B
    28856
  3. C
    43976
  4. D
    57228

Solution & Step-by-step Explanation

A number is exactly divisible by if it satisfies the divisibility rules for both and (, where and are co-prime numbers).
1. Divisibility Rule for 4: The last two digits of the number must be a multiple of .

* Option A: is divisible by .
* Option B: is divisible by .
* Option C: is divisible by .
* Option D: is divisible by .
All options satisfy this criterion.

2. Divisibility Rule for 3: The sum of all individual digits must be divisible by .

* Option A: (not divisible by )
* Option B: (not divisible by )
* Option C: (not divisible by )
* Option D: (since is a multiple of , this number is divisible by )

Therefore, is completely divisible by both and , making it exactly divisible by .

Practice this question

Try it yourself before checking the explanation above.

Which of the numbers given below is exactly divisible by 12?
A
14744
B
28856
C
43976
D
57228

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