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Quantitative Aptitude

Unit Digit of a Number

If log 2=0.30...

Question

If log 2 = 0.30103, the number of digits in 2⁶⁴ is

A

16

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B

17

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C

18

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D

19

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Solution

The correct option is D
19
Log (2⁶⁴) = 64log2 = 640.30103 = 19.26592
Thus, the characteristic = 19
Hence, the number of digits in 2⁶⁴ = 19

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