Out of the three annual examinations, each with a total of 500 marks, a student secured average marks of 45% and 55% in the first and second annual examinations. To have an overall average of 60%, how many marks does the student need to secure in the third annual examination?
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UPSC Civil Services preparation
- A450
- B400Correct
- C350
- D300
Explanation
To find the correct answer, we first calculate the total marks required for an overall average of 60 percent across all three exams. Since each exam is out of 500, the total maximum marks are 1500. A 60 percent overall average means the student needs 900 marks in total.
Next, we calculate the marks obtained in the first two exams. In the first exam, 45 percent of 500 is 225 marks. In the second exam, 55 percent of 500 is 275 marks. Adding these together, the student has already secured 500 marks.
To reach the target of 900 marks, the student needs 900 minus 500, which equals 400 marks in the third examination. Therefore, option B is correct.
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