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Anjana could not solve $\frac{1}{6}$th problems in an examination, $\frac{1}{5}$th of problems solved by her are wrong. If there were 30 questions, how many problems did she answer correctly?
Given:
Anjana could not solve $\frac{1}{6}$th problems in an examination, $\frac{1}{5}$th of problems solved by her are wrong.
Total number of questions $=30$.
To do:
We have to find the number of problems correctly answered by her.
Solution:
Number of problems Anjana could not solve $=\frac{1}{6}\times30=5$.
This implies,
Number of problems solved by her$=30-5=25$.
Number of problems incorrectly answered by her$=\frac{1}{5}\times25=5$.
Therefore,
Number of problems correctly answered by her$=25-5=20$.
Anjana solved 20 problems correctly.
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