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Q.

At the beginning of the year 2019. India’s population was 130 crore and it is increasing at constant rate of 1% annually. Right now the mobile numbers are of 10 digits starting with digits 6, 7, 8 or 9 only as permitted by TRAI (a regulating body). The maximum number of years the current pattern of mobile numbers can run, assuming two mobile numbers per member of population  (use  log(1.01)(2013)=43.29)  is

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a

44 years                       

b

43 years                     

c

22 years

d

21 years

answer is B.

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Detailed Solution

Let P0=130  crore 
After ‘n’ years population P=P0(1+0.01)n 
Total number of possible mobile numbers  =4×109=400crore
Hence,  2P400crore130(1.01)n200nlog1.01(2013)=43.29
 n43years

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