Question

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

Answer 1

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.