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Questions  

(6666)2+(8888) is equal to

n digits         n digits     

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a
4910n−1
b
49102n−1
c
4910n−12
d
None of these

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detailed solution

Correct option is B

(666…6)=6+6×10+6×102+…+6×10n−1n digits=61+10+102+…+10n−1=6910n−1=2310n−1Similarly,  (888…8)=8910n−1                   n digitsHence, required sum=4910n−12+8910n−1=49102n−2⋅10n+1+2⋅10n−2=49102n−1


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Let an be the nth term of the G.P. of positive numbers.  Let n=1100a2n=α and n=1100a2n1=β, such that αβ, then the common ratio is


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