The average marks of a student in seven subjects is 41. After re-evaluation in one subject the marks were changed to 42 from 14 and in remaining subjects the marks remained unchanged What are the new average marks? Options are (a) 45 (b) 44 (c) 46 (d) 47.

Options

A. 45
B. 44
C. 46
D. 47

Answer

To find the new average marks after the re-evaluation of one subject, we can follow these steps:

### Step-by-Step Solution:

1. **Calculate the Total Marks Before Re-evaluation:**
The average marks of the student in seven subjects is given as 41. To find the total marks, we can use the formula:
\[ \text{Total Marks} = \text{Average Marks} \times \text{Number of Subjects} \]
Substituting the values:
\[ \text{Total Marks} = 41 \times 7 = 287 \]

2. **Identify the Change in Marks:**
The marks in one subject changed from 14 to 42. We need to calculate the difference:
\[ \text{Change in Marks} = \text{New Marks} - \text{Old Marks} = 42 - 14 = 28 \]

3. **Calculate the New Total Marks:**
To find the new total marks after the re-evaluation, we add the change in marks to the original total marks:
\[ \text{New Total Marks} = \text{Old Total Marks} + \text{Change in Marks} = 287 + 28 = 315 \]

4. **Calculate the New Average Marks:**
Now, we can find the new average marks using the new total marks:
\[ \text{New Average Marks} = \frac{\text{New Total Marks}}{\text{Number of Subjects}} = \frac{315}{7} = 45 \]

### Final Answer:
The new average marks after re-evaluation is **45**.