Sequence And Series Question 373
Question: The value of $ 0.0\overline{37} $ where $ 0.0\overline{37} $ stands for the number .0373737……….. is:
Options:
A) 37/1000
B) 37/990
C) 1/37
D) 1/27
Show Answer
Answer:
Correct Answer: B
Solution:
[b] The value of $ 0.0\overline{37} $ stands for the number 0.0373737??=0.037+0.00037+??. $ =\frac{37}{10^{3}}+\frac{37}{10^{5}}+………= $ $ \frac{37}{10^{3}}[ 1+\frac{1}{100}+….. ] $ $ =\frac{37}{10^{3}}[ \frac{1}{1-\frac{1}{100}} ]=\frac{37}{990} $
BETA
