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Question

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 a question. Rakesh scores 18 marks by attempting 16 questions. How many questions has he attempted correctly and how many has he attempted incorrectly?  


  1. Number of questions he has attempted correctly =  10

  2. Number of questions he has attempted incorrectly =  10

  3. Number of questions he has attempted incorrectly =  6

  4. Number of questions he has attempted incorrectly =  11


Solution

The correct options are
A

Number of questions he has attempted correctly =  10


C

Number of questions he has attempted incorrectly =  6


Marks obtained for 1 right answer = +3

Marks obtained for 1 wrong answer = −2

Total marks scored by Rakesh = 18

Number of questions attempted = 16

Let number of correct answers be x.
Number of incorrect answers = (16 - x )

 3x + (16 - x)(-2) = 18

3x - 32 + 2x = 18
5x  = 18 + 32
  5x = 50
x = 10
Therefore number of questions answered correctly = 10
Number of questions answered incorrectly = 16 - 10 = 6

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