Paragraph: Let a denotes number of digits in 2⁵⁰, b denotes number of zero's after decimal and before first significant digit in 3⁻⁵⁰ and c denotes number of natural numbers have characteristic 3 with base 5 , then (Given: ₁₀ 2=0.301 and ₁₀

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Paragraph: Let a denotes number of digits in 2⁵⁰, b denotes number of zero's after decimal and before first significant digit in 3⁻⁵⁰ and c denotes number of natural numbers have characteristic 3 with base 5 , then (Given: ₁₀ 2=0.301 and ₁₀ 3=0.4771 ) Question: Number of factors of the number a+b are:

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Correct answer: C. 4

a= Number of digits in 2⁵⁰=1+ integral part of 50 ₁₀ 2=16b= Number of zero's in 3⁻⁵⁰= 1+ integral part of (-50 ₁₀ 3 ) =233 ₅ N < 4125 N < 625 c=500 (i) c-(a b)=500-16 23=132 (ii) c=500 sum of digits =5 (iii) a+b=39

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