Miscellaneous - 2 | Algebra - Number System
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First 100 natural numbers in decimal system are converted to base 6 and their product if found. Find the no. of trailing 0’s in the product when converted in base 6?
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ReportIf f(x, y, z) = xy + yz + zx, then f((110)2, (121)3, (1B)12) = ?
A teacher wrote all the numbers from 1 to 31 in binary form. Find total number of 1’s that are there on the board?
A four-digit number N1 is written in base 11. A new four-digit number N2 is formed by rearranging the digits of N1 in any order. The difference between N1 and N2 is always divisible by?
A trader wants to measure all weights (integral) from 1 to 220 kg. using a simple balance in which weights are placed in one of the pans. What is the minimum number of weights needed?
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