InterviewSolution
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InterviewSolution
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Which of the following is/are true ?A. number of digits in `8^(12)5^(35)` is 35B. number of digits in `8^(12)5^(35)` is 36C. number of zeroes after decimal before a significant figures starts in `((8)/(27))^(20)` is 10D. number of zeroes after decimal before a significant figure starts in `((8)/(27))^(20)` is 11 |
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Answer» Correct Answer - B::C Let `N_(1)=8^(12)5^(35)` `rArr log_(10)N_(1)=log_(10)(2^(36).5^(35))` `log_(10)(10^(35).2)` `=35+log_(10)2` `=35+0.3010` `= 35.3010` `therefore` Number of digits in `N_(1)` is 36. Now, let `N_(2)=((8)/(27))^(20)` `rArr log_(10)N_(2)=20 log_(10)((8)/(27))` `=60 "log"_(10)(2)/(3)` `=60(log_(10)2-log_(10)3)` `=60xx(0.3010-0.4771)` `=-60xx(0.3010-0.4771)` `-60xx0.1761` `=-10.56` `=bar(11)+0.44` `therefore` Number of zeroes after decimal before a significant figure starts in `N_(2)` is 10 |
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