Question : The average marks of a student in six subjects was initially 110. After re-evaluation, in one subject the marks obtained were reduced from 148 to 112, while in the rest of the subjects, the marks remained unchanged. What are the new average marks?
Option 1: 102
Option 2: 108
Option 3: 106
Option 4: 104
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Correct Answer: 104
Solution :
Given:
The average marks of a student in six subjects was initially 110.
Initial total marks = 110 × 6 = 660
In one subject the marks obtained were reduced from 148 to 112.
New total marks = 660 – (148 – 112) = 660 – 36 = 624
$\therefore$ New average marks $=\frac{624}{6}=104$
Hence, the correct answer is 104.
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