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Question
How many number of zeroes will be there at the end of 12! expressed in base 6?
How many number of zeroes will be there at the end of 12! expressed in base 6?
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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.
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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