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Question

A pupils marks were wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half (1/2). The number of pupils in the class is:

Options:
A .  10
B .  20
C .  40
D .  73
Answer: Option C

Let there be x pupils in the class.


Total increase in marks = \(\left(x\times\frac{1}{2}\right)= \frac{1}{2}\)


Therefore  \(\frac{x}{2}= \left(83-63\right) \Rightarrow \frac{x}{2}= 20 \Rightarrow x = 40.\)


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