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The average marks obtained by Amit in five subjects viz. History, maths, biology, chemistry and physics is 73 and marks obtained in chemistry is 76. The average marks obtained in history and physics is 73. Find the average marks obtained in maths and biology.
  • a)
    70
  • b)
    73
  • c)
    71.5
  • d)
    72
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The average marks obtained by Amit in five subjects viz. History, math...
Sum of marks obtained in five subjects = average of marks in five subjects × number of subjects
73 × 5 = 365
Sum of marks obtained in history and physics = average marks obtained in history and physics × 2
73 × 2 = 146
Sum of marks obtained in maths and biology = 365 – 146 – 76 = 143
Average marks obtained in maths and biology = 143/2 = 71.5
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Most Upvoted Answer
The average marks obtained by Amit in five subjects viz. History, math...
Given:
- Average marks obtained by Amit in five subjects = 73
- Marks obtained in chemistry = 76
- Average marks obtained in history and physics = 73

To find:
- Average marks obtained in maths and biology

Let's solve this problem step by step.

Step 1: Find the total marks obtained by Amit in the five subjects.
Since the average marks obtained in the five subjects is 73, we can calculate the total marks obtained by Amit using the formula:
Total marks = Average marks * Number of subjects
Total marks = 73 * 5
Total marks = 365

Step 2: Find the total marks obtained in history and physics.
Since the average marks obtained in history and physics is 73, we can calculate the total marks obtained in history and physics using the formula:
Total marks in history and physics = Average marks in history and physics * 2
Total marks in history and physics = 73 * 2
Total marks in history and physics = 146

Step 3: Calculate the total marks obtained in maths and biology.
Total marks in maths and biology = Total marks - Total marks in history and physics
Total marks in maths and biology = 365 - 146
Total marks in maths and biology = 219

Step 4: Calculate the average marks obtained in maths and biology.
Average marks in maths and biology = Total marks in maths and biology / 2
Average marks in maths and biology = 219 / 2
Average marks in maths and biology = 109.5

Therefore, the average marks obtained in maths and biology is 109.5, which rounds up to 110. Hence, the correct option is (C) 71.5.
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