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Find the smallest 5-digit number which is exactly divisible by 384. Options 10368 10224 10512 10424

Question

Find the smallest 5-digit number which is exactly divisible by 384.

Options:

  • 10368
  • 10224
  • 10512
  • 10424
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Solution

To find the smallest 5-digit number which is exactly divisible by 384, we need to follow these steps:

  1. Find the smallest 5-digit number, which is 10000.
  2. Divide this number by 384 to find the quotient and remainder.
  3. If the remainder is 0, then 10000 is the smallest 5-digit number divisible by 384. If not, add the difference between 384 and the remainder to 10000. This will give us the smallest 5-digit number divisible by 384.

Let's do the calculations:

  1. The smallest 5-digit number is 10000.
  2. 10000 divided by 384 gives a quotient of 26 and a remainder of 16.
  3. The difference between 384 and 16 is 368. Adding this to 10000 gives 10368.

So, the smallest 5-digit number which is exactly divisible by 384 is 10368. Therefore, the correct option is 10368.

This problem has been solved

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