Anita’s mathematics test had 70 problems carrying equal marks i.e., 10 arithmetic, 30 algebra and 30 geometry. Although she answered 70% of the arithmetic, 40% of the algebra and 60% of the geometry problems correctly, she did not pass the test because she got less than 60% marks. The number of more questions she would have to answer correctly to earn a 60% passing marks is:
1. 1
2. 5
3. 7
4. 9
1. 1
2. 5
3. 7
4. 9
Correct Answer – Option 2 : 5
Given
Total Questions = 70
Formula Used
Percentage = (Actual/Total) × 100
Calculation
Question correctly by anita as follow:
⇒ Airthmetic = 70% of 10 = 7
⇒ Algebra = 40% of 30 = 12
⇒ Geometry = 60% of 30 = 18
⇒ Total correct Question by anita = 37
⇒ For pass no. of Question should be correct = 60% of 70 = 42
⇒ Number of more questions she would have to answer correctly to earn a 60% passing marks = 42 – 37 = 5
∴ Number of more questions she would have to answer correctly to earn a 60% passing marks is 5.