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Question

How many number of zeroes will be there at the end of 12! expressed in base 6?
  1. 4
  2. 5
  3. 7
  4. 6


Solution

The correct option is B 5
In the case of decimal sytem, we obtain 10 by multiplying 5 and 2, and then, to find the number of zeroes, we search the exponents of 5. In the case of base 6, 6 will be obtained by multyplying 3 and 2. Therefore, here, we will check for the exponents of 3 to know about the number of zeroes.
Obviously, it is [12/3 + 12/9] = 4 + 1 = 5.
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