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Average marks in Mathematics of Section A comprising 30 students is 65 and that of Section B compris...........

Quantitative Aptitude (CDS) Average

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Average marks in Mathematics of Section A comprising 30 students is 65 and that of Section B comprising 35 students is 70. What are the average marks (approximately) of both the sections if it was detected later that an entry of 47 marks was wrongly made as 74 ?

This questions was previously asked in

2023 CDS -1 MATH

View All CDS Previous Year Papers

67 28

67-58

68 11

68-63

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Explanation:

- Calculation of Correct Average:

- Total marks for Section A students = 30 * 65 = 1950

- Total marks for Section B students = 35 * 70 = 2450

- Combined new total marks = 1950 + 2450 = 4400

- Error Detection:

- Wrong entry in marks = 74

- Correct entry in marks = 47

- Adjustment needed = 74 - 47 = 27 less marks

- Adjusted Total Marks:

- Adjusted total marks = 4400 - 27 = 4373

- Combined Average:

- Total number of students = 30 + 35 = 65

- New average = 4373 / 65 ˜ 67.28

- Option Analysis:

- Option 1: 67 28 (Represents 67.28)

- Option 2: 67-58

- Option 3: 68 11

- Option 4: 68-63

- The correct answer is Option 1: 67 28

By: Parvesh Mehta

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