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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Updated on: 10-Oct-2022

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