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?

Options

A. 80
B. 85
C. 84
D. 94

Answer

To solve the problem step by step, we can break it down as follows:

### Step 1: Calculate the total number of questions Anuradha needs to answer correctly to achieve 75%.
To find out how many questions Anuradha needs to answer correctly to score 75%, we calculate:
\[ 75\% \text{ of } 120 = \frac{75}{100} \times 120 = 90 \text{ questions} \]

### Step 2: Calculate how many questions Anuradha answered correctly from the first 60 questions.
Anuradha answered 65% of the first 60 questions correctly. Therefore, the number of questions she answered correctly is:
\[ 65\% \text{ of } 60 = \frac{65}{100} \times 60 = 39 \text{ questions} \]

### Step 3: Determine how many more questions she needs to answer correctly from the remaining questions.
Since Anuradha needs a total of 90 correct answers and she has already answered 39 correctly, we find out how many more she needs:
\[ 90 - 39 = 51 \text{ questions} \]

### Step 4: Calculate the percentage of the remaining questions she needs to answer correctly.
There are 60 questions remaining (120 total - 60 answered). To find out what percentage of these remaining questions she needs to answer correctly, we calculate:
\[ \text{Percentage needed} = \left( \frac{51}{60} \right) \times 100 \]
Calculating this gives:
\[ \frac{51}{60} \approx 0.85 \implies 0.85 \times 100 = 85\% \]

### Conclusion
Anuradha needs to answer 85% of the remaining questions correctly to achieve a score of 75% in the test.

---