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QUESTION
Q
When numbers are written in base b, we have 15 × 22 = 414, the value of b is ?

Solution

The numbers when written in base b.15 = 1(b1) + 5(b0) = b + 522 = 2(b1) + 2(b0) = 2b + 2414 = 4(b2) + 1(b1) + 4(b0) = 4b2 + 1b + 415...

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