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If characteristic of three numbers a, b and c and 5, -3 and 2, respectively, then find the maximum number of digits in N = abc. |
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Answer» Correct Answer - 7 According to the given information, ` log a = 5+p` ` log b =- 3+ q` ` log c = 2 + r` where p,q and r are mantissas. `:. P,q,r in [0, 1)` Adding the above equations, we get ` log(abc) = 4 + (p+q+r)` ` (p+q+r) in [0, 3)` ` :. log (abc) in [4, 7)` `rArr log N in [4, 7)` ` :. ` Maximum possible characteristic of log N = 6 `:. ` Maximum number of digits in `N = 6 +1 = 7` |
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