In a test consisting of 120 questions, Anuradha answered 65% of thefirst 60 questions correctly. What percentage of the remaining questions does she need to answer correctly to score 75% in the test?
To score 75%, the total number of question need to be correct $$=\dfrac{120\times 75}{100}=90$$
In the first 60 questions, the corrected answer percentage $$=\dfrac{60\times 65}{100}=39$$
Hence, the remaining number of questions, need to be correct $$=90-39=51$$
Remaining questions, need to attempt $$=60$$
Hence, the corrected answer percentage should be $$=\dfrac{51\times 100}{60}=85\%$$
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