Rakesh scores 18 marks by attempting 16 questions. How many questions has he attempted correctly and how many has he attempted incorrectly?
Answers
Answer:
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Step-by-step explanation:
As per my interpretation, the complete question is "In a class test (+ 3) marks are given for every correct answer and (−2) marks are given for every incorrect answer and no marks for not attempting any question. Rakesh scores 18 marks by attempting 16 questions. How many questions has he attempted correctly and how many has he attempted incorrectly?
So follow the explanation accordingly;
Total marks scored by Rakesh = 18
Number of questions attempted = 16
Suppose the number of correct answer is x.
Then number of incorrect answers = 16 - x
So; total marks scored = 3x+(16−x)×(−2) = 18
⇒3x−32+2x = 18⇒5x = 50⇒x = 10
Therefore number of correct answers = 10 and number of incorrect answers = 16 - 10 = 6....
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