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A question paper consist of questions, each carrying `(1)/(2)` mark, 1 mark and 2 marks ini the ratio 2:2:1. if the maximum mark in the exam is 100, then find the number of questions of each type. |
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Answer» Ratio of marks allotted for each type of question `=(1)/(2)xx2:1xx2:2xx1=1:2:2` Sum of the ters of the ratio is 1+2+2, i.e., 5 Given total marks in the paper=100 `implies` Marks allotted for `(1)/(2)` mark questions `=100xx(1)/(5)=20` `implies`Marks allotted for 1 mark questions`=100xx(2)/(5)=40` `implies`Marks allotted for 2 mark questions `=100xx(2)/(5)=40` `therefore` Number of `(1)/(2)` mark questions `=(20)/(((1)/(2)))=2xx20=40` Number of 1 mark questions `=(40)/(1)=40` Number of 2 mark question`=(40)/(2)=20` |
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