Discussion
In an examination, it is required to get 36% of maximum marks to pass. A student gets 113 marks and is declared failed by 85 marks. The maximum marks is __________ .
Answer: B
The maximum marks are 550.
The student scored 113 marks and fell short of the pass mark by 85, so the pass mark is \(113 + 85 = 198\). That is 36% of the maximum M:
\[ \begin{aligned} 0.36\,M &= 198 \\ M &= \frac{198}{0.36} = 550 \end{aligned} \]
Check: 36% of 550 is 198, and \(198 - 113 = 85\). Taking the 113 marks alone as 36% would give about 314, which is not offered, and 500, 640 and 1000 do not give a pass mark 85 above 113.
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