Anita`s mathematics test had 75 problems, i.e., 10 Arithmetic, 30 algebra and 35 geometry problems. 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

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Q: 86 (CDS-I/2002)
Anita's mathematics test had 75 problems, i.e., 10 Arithmetic, 30 algebra and 35 geometry problems. 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% of the problems right. The number of more questions she would have needed to answer correctly to earn a 60% passing grade is

question_subject: 

Maths

question_exam: 

CDS-I

stats: 

0,8,6,2,8,2,2

keywords: 

{'mathematics test': [0, 0, 1, 0], 'algebra': [0, 0, 1, 0], 'geometry problems': [0, 0, 1, 0], 'grade': [0, 0, 1, 1], 'test': [2, 2, 8, 3], 'anita': [0, 0, 1, 0], 'more questions': [0, 0, 1, 0], 'problems': [0, 0, 2, 2], 'number': [0, 0, 0, 2]}

In this question, Anita`s mathematics test consists of 75 problems. These problems are categorized into three different subjects - Arithmetic, Algebra, and Geometry.

To find out the number of questions Anita got right in each subject, we need to calculate the specific percentages given for each subject. The question states that Anita answered 70% of the Arithmetic problems correctly, 40% of the Algebra problems correctly, and 60% of the Geometry problems correctly.

Now, we calculate the number of questions Anita got correct in each subject.

In Arithmetic, 70% of 10 problems would be 0.7 * 10 = 7 problems correct.

In Algebra, 40% of 30 problems would be 0.4 * 30 = 12 problems correct.

In Geometry, 60% of 35 problems would be 0.6 * 35 = 21 problems correct.

To evaluate whether Anita passed the test or not, we need to calculate the overall percentage of questions she answered correctly. We sum up the number of problems Anita answered correctly in each subject and divide it by the total number of problems, which is 75 in this case.

Total number of problems Anita answered correctly = 7 + 12 + 21