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In a test consisting of 70 questions carrying one mark each, Arpita answers 70% of the first 40 questions correctly. What percent (approx.) of the other 30 questions does she need to answer correctly to score 80% on the entire test? 
  • a)
    60
  • b)
    80
  • c)
    93
  • d)
    85
  • e)
    76
Correct answer is option 'C'. Can you explain this answer?
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In a test consisting of 70 questions carrying one mark each, Arpita an...
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In a test consisting of 70 questions carrying one mark each, Arpita an...
Solution:

To find the percent of the other 30 questions that Arpita needs to answer correctly, we first need to determine how many questions she has answered correctly in the first 40 questions.

Step 1: Determining the number of correct answers in the first 40 questions.
Arpita answered 70% of the first 40 questions correctly.
So, the number of correct answers in the first 40 questions = 70/100 * 40 = 28.

Step 2: Determining the marks obtained in the first 40 questions.
Each question carries one mark, and Arpita answered 28 questions correctly.
So, the marks obtained in the first 40 questions = 28 * 1 = 28 marks.

Step 3: Determining the target marks for the entire test.
To score 80% on the entire test, Arpita needs to obtain 80% of the total marks.
The total marks for the entire test = 70 questions * 1 mark/question = 70 marks.
80% of the total marks = 80/100 * 70 = 56 marks.

Step 4: Determining the number of marks required in the remaining 30 questions.
The number of marks required in the remaining 30 questions = Target marks - Marks obtained in the first 40 questions
= 56 - 28 = 28 marks.

Step 5: Determining the percentage of questions Arpita needs to answer correctly in the remaining 30 questions.
Each question carries one mark, and Arpita needs to obtain 28 marks in the remaining 30 questions.
So, the percentage of questions she needs to answer correctly = (28/30) * 100 ≈ 93.33%.

Therefore, Arpita needs to answer approximately 93.33% of the other 30 questions correctly to score 80% on the entire test.
Hence, the correct answer is option C) 93.
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In a test consisting of 70 questions carrying one mark each, Arpita answers 70% of the first 40 questions correctly. What percent (approx.) of the other 30 questions does she need to answer correctly to score 80% on the entire test?a)60b)80c)93d)85e)76Correct answer is option 'C'. Can you explain this answer?
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