other Maths Puzzle Numerical Ability

What is the highest power of 12 that divides 54!?

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other Other Question

A number leaves a remainder 3 on division by 14, and leaves a remainder k on division by 35. How many possible values can k take? A right circular cone has height H and radius R. A small cone is cut off at the top by a plane parallel to the base. At what height above the base the section has been made?

Statement (I): H = 20 cm
Statement (II): Volume of small cone: volume of large cone : 1:15