A competitive examination has the following scoring scheme.
A score of 4 is assigned for each correct answer, (-1) for each incorrect answer, O for questions not attempted.
Adnan attempted 74 out of the 90 questions. He is confident that his answers for 50 questions are correct. He is not sure
about the rest of the questions he attempted. What are the minimum and the maximum scores he can expect?
Adnan's score is expected to be greater than or equal to___
but less than or equal to____
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Answer:
Answer : 40 questions were attempted correctly.
Step-by-step explanation:
Solution : Let the no. of correct answers be “x” and that of incorrect answers be “y”. As per the problem total no. of questions is written as x+y=75 which can be considered as equation 1. For every correct answer marks scored is 4, i.e., total marks scored for correct answers is 4x. Similarly, total marks deducted for incorrect answers is -1y. So, the second equation can be written as 4x-1y=125. By solving both equations simultaneously we get X= 40 & Y= 35.
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