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CBSE Class 8 Answered

In a test, one mark is awarded for each correct answer and 0.5 mark is deducted for each incorrect answer. A student atempts all the questions in it. If the marks awarded for each correct answer and the marks deducted for each incoeeect answer are interchanged, then he would have got 90 marks less than what he actually got. Find the number of questions in the test.   
Asked by Www.shreyraveshia2005 | 17 Jul, 2018, 05:00: PM
answered-by-expert Expert Answer
begin mathsize 16px style let space straight x space be space the space number space of space right space answer space and space straight y space be space the space number space of space wrong space answers
Marks space obtained space equals space straight x minus 0.5 straight y
interchanging
Marks space obtained space equals space 0.5 straight x minus straight y
open parentheses straight x minus 0.5 straight y close parentheses space minus space open parentheses 0.5 straight x minus straight y close parentheses equals space 90
0.5 straight x plus 0.5 straight y equals 90
straight x plus straight y equals 180 end style
Answered by Arun | 17 Jul, 2018, 06:20: PM
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