How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 80

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$N = a b c$ is a three digit number, the sum of whose digits is $\frac{1}{7}$ th of the product of its digits. Then how many possible sets of $(a, b, c)$ are possible?

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Important Questions on Number Systems

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CAT

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How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 81

{(3132!)}_{10} = {(x)}_{34}

, then what will be the number of consecutive zeroes at the end of '

x

' ?