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Question

If P is non negative characteristics of log10N, then number of significant digit in N is P+1. If −P is the negative characteristics of log10N, then the number of zeros after decimal before a significant digit start are P−1 (Use log102=0.3010,log103=0.4771) On the bases of the above information, answer the following:

Number of significant digit in N, where N=(53)100, is


A
23
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B
22
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C
21
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D
None of these
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Solution

The correct option is D 23
Given N=(53)100

Hence,
logN=100(log53)=100(log5log3)=100(log102log3)=100(10.3010.4771)=22.19

Hence number of significant digits=P+1=22+1=23

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