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Lets be the sum of the digits of the number `15^(2)xx5^(18)` in base 10. ThenA. s lt 6B. `6inslt140`C. `140inslt148`D. `sin148` |
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Answer» Correct Answer - B `15^(2)xx5^(18)` `=9xx5^(20)` `[log_(10)(9xx5^(20))]=[2log_(10)^(3)+20log_(10)5]` `=[2xx4771+20(1-0.3010)]` `=14" {characteristic}"` Hence the number have 15 digits At worst all digits can have value 9 Hence sum should less than 135 And the last digit should be 5 Hence Sum should greater than Or equal to 6 |
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