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A student obtain 75%, 80% and 85% in thr...

A student obtain `75%, 80% and 85%` in three subjects if the marks of another subject are added. Then the average cannot be less than

A

0.6

B

0.65

C

0.8

D

0.9

Text Solution

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The correct Answer is:
To solve the problem step by step, we will follow these instructions: ### Step 1: Calculate the total marks obtained in the three subjects. The student has obtained the following percentages in three subjects: - Subject 1: 75% - Subject 2: 80% - Subject 3: 85% Assuming each subject is out of 100 marks, we can calculate the total marks obtained in these three subjects. \[ \text{Total Marks} = 75 + 80 + 85 = 240 \] ### Step 2: Consider the addition of a fourth subject. We need to find the average when a fourth subject is added. To find the minimum possible average, we will assume the student scores the lowest possible marks in the fourth subject, which is 0%. ### Step 3: Calculate the average with the fourth subject. Now, we will calculate the average of the four subjects: \[ \text{Total Marks with Fourth Subject} = 240 + 0 = 240 \] The average marks can be calculated as follows: \[ \text{Average} = \frac{\text{Total Marks}}{\text{Number of Subjects}} = \frac{240}{4} \] Calculating this gives: \[ \text{Average} = 60 \] ### Step 4: Convert the average to percentage. Since the average is calculated out of 100, we can express it as a percentage: \[ \text{Average Percentage} = 60\% \] ### Conclusion: The minimum average percentage that the student can achieve, even with the lowest score in the fourth subject, is **60%**.

To solve the problem step by step, we will follow these instructions: ### Step 1: Calculate the total marks obtained in the three subjects. The student has obtained the following percentages in three subjects: - Subject 1: 75% - Subject 2: 80% - Subject 3: 85% ...
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