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In a competitive examination, one mark is awarded for each correct answer while 1/2 ​ mark is deducted for every wrong answer. Jayanti answered 120 questions and got 90 marks. How many questions did she answer correctly?
  • a)
    100
  • b)
    70
  • c)
    125
  • d)
    66
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
In a competitive examination, one mark is awarded for each correct ans...
Given:
- Jayanti answered 120 questions.
- 1 mark is awarded for each correct answer.
- 1/2 mark is deducted for every wrong answer.
- Jayanti got 90 marks.

To Find:
- How many questions did Jayanti answer correctly?

Assumption:
- Jayanti answered all the questions.

Solution:
Let's assume Jayanti answered x questions correctly.

Points to Consider:
- 1 mark is awarded for each correct answer.
- 1/2 mark is deducted for every wrong answer.

Calculation:
- Total marks obtained by Jayanti = Marks obtained for correct answers - Marks deducted for wrong answers
- 90 = x*1 - (120 - x)*(1/2)
- 90 = x - (120 - x)/2
- 90 = x - 60 + x/2
- 90 - 60 = x + x/2
- 30 = 3x/2
- 2*30 = 3x
- 60 = 3x
- x = 60/3
- x = 20

Therefore, Jayanti answered 20 questions correctly.

Conclusion:
- Jayanti answered 20 questions correctly. Hence, the correct answer is option 'A' (100).
Free Test
Community Answer
In a competitive examination, one mark is awarded for each correct ans...
Total no of question=120
1 mark for each question
hence total paper is of 120 marks
Jayanti got 90 marks I.e she lost 30 marks
let the no of questions she got wrong be x
therefore totalarks she lost =x+½x=30
1.5x=30
x=20
therefore no of wrong question =20
no of correct =120-20=100
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