The average marks of a student in 7 subjects is 85. If the average marks in the 6 subjects other than English is 83, what are the marks obtained in English?

Difficulty: Easy

Correct Answer: 97

Explanation:


Introduction:
This is another average marks question, where the overall average for all 7 subjects and the average for 6 of them (excluding English) are given. You are asked to find the marks in the remaining subject, English.


Given Data / Assumptions:
Average marks in 7 subjects = 85. Average marks in 6 subjects (excluding English) = 83. Marks in English = unknown.


Concept / Approach:
Again, we convert averages into total marks: Total marks in 7 subjects = 7 * 85. Total marks in the 6 subjects (excluding English) = 6 * 83. The marks in English are simply the difference between these two totals.


Step-by-Step Solution:
Step 1: Total marks in all 7 subjects. Total (7 subjects) = 7 * 85 = 595. Step 2: Total marks in the 6 subjects other than English. Total (6 subjects) = 6 * 83 = 498. Step 3: Marks in English. Marks in English = 595 - 498 = 97.


Verification / Alternative Check:
If the six subjects total 498 and English is 97, then overall total = 498 + 97 = 595. Average = 595 / 7 = 85, confirming that the calculation is correct.


Why Other Options Are Wrong:
98, 92, 93, 89: None of these values, when added to 498, give a total of 595. Each would lead to a different overall average, not equal to 85.


Common Pitfalls:
Some students make mistakes by averaging the two averages or by dividing by 6 again after subtraction. Remember that the marks in the single remaining subject come directly from the difference between totals, without any further division.


Final Answer:
The marks obtained in English are 97.

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