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Out of the four annual examinations, each with a total of 100 marks, a student secured average marks of 35%, 65% and 50% in the first, second and third annual examinations. To have an overall average of 60%, how many marks does the student need to secure in the fourth annual examination?
  • a)
    60
  • b)
    70
  • c)
    80
  • d)
    90
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Out of the four annual examinations, each with a total of 100 marks, ...
Let the average marks in the third Annual examination be x.
Total marks = (Marks in first + second + third + fourth) Annual examination
So, the student must score 90% in the fourth annual examination to secure 60% overall average.
∴ Average marks in the third annual examination
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Most Upvoted Answer
Out of the four annual examinations, each with a total of 100 marks, ...
To find out how many marks the student needs to secure in the fourth annual examination, we can follow these steps:

Step 1: Calculate the average of the first three annual examinations
The student secured average marks of 35%, 65%, and 50% in the first, second, and third annual examinations respectively. To find the average of these three percentages, we add them up and divide by 3:
Average = (35% + 65% + 50%) / 3
Average = 150% / 3
Average = 50%

Step 2: Determine the marks needed to achieve an overall average of 60%
The student wants to have an overall average of 60% in all four annual examinations. Since the average of the first three examinations is 50%, the student needs to secure an additional percentage in the fourth examination to compensate for the lower average.

Let's assume the student needs to secure x% in the fourth examination.

To calculate the overall average, we add up the percentages of all four examinations and divide by 4, setting it equal to the desired average:
(35% + 65% + 50% + x%) / 4 = 60%

Step 3: Solve for x
To find the value of x, we can rearrange the equation:
35% + 65% + 50% + x% = 60% * 4
150% + x% = 240%
x% = 240% - 150%
x% = 90%

Therefore, the student needs to secure 90 marks in the fourth annual examination to have an overall average of 60%. Therefore, the correct answer is option D) 90.
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Out of the four annual examinations, each with a total of 100 marks, a student secured average marks of 35%, 65% and 50% in the first, second and third annual examinations. To have an overall average of 60%, how many marks does the student need to secure in the fourth annual examination?a) 60b) 70c) 80d) 90Correct answer is option 'D'. Can you explain this answer?
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Out of the four annual examinations, each with a total of 100 marks, a student secured average marks of 35%, 65% and 50% in the first, second and third annual examinations. To have an overall average of 60%, how many marks does the student need to secure in the fourth annual examination?a) 60b) 70c) 80d) 90Correct answer is option 'D'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Out of the four annual examinations, each with a total of 100 marks, a student secured average marks of 35%, 65% and 50% in the first, second and third annual examinations. To have an overall average of 60%, how many marks does the student need to secure in the fourth annual examination?a) 60b) 70c) 80d) 90Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Out of the four annual examinations, each with a total of 100 marks, a student secured average marks of 35%, 65% and 50% in the first, second and third annual examinations. To have an overall average of 60%, how many marks does the student need to secure in the fourth annual examination?a) 60b) 70c) 80d) 90Correct answer is option 'D'. Can you explain this answer?.
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