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In a competitive exam examination, 5 marks are awarded for each correct answer while 2 marks are deducted for each wrong answer. Vidya has answered 120 questions and got 348 marks how many questions she answer correctly?
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In a competitive exam examination, 5 marks are awarded for each correc...
Problem:
In a competitive exam, 5 marks are awarded for each correct answer while 2 marks are deducted for each wrong answer. Vidya has answered 120 questions and got 348 marks. How many questions did she answer correctly?

Solution:
Let's assume that Vidya answered "x" questions correctly and "y" questions incorrectly.

We know that:
- 5 marks are awarded for each correct answer
- 2 marks are deducted for each wrong answer

So, the total marks obtained by Vidya can be calculated as:
Total Marks = 5x - 2y

We also know that Vidya has answered 120 questions and got 348 marks. So, we can write two equations based on this information:
Equation 1: x + y = 120 (the total number of questions answered by Vidya)
Equation 2: 5x - 2y = 348 (the total marks obtained by Vidya)

Now, we can solve these equations to find the value of "x" (i.e., the number of questions answered correctly) as follows:

From Equation 1, we get:
y = 120 - x

Substituting this value of y in Equation 2, we get:
5x - 2(120 - x) = 348

Simplifying this equation, we get:
7x = 588

Therefore, the value of "x" (i.e., the number of questions answered correctly) is:
x = 84

So, Vidya has answered 84 questions correctly.

Conclusion:
Vidya answered 84 questions correctly out of 120 questions she attempted in the competitive exam and got 348 marks.
Community Answer
In a competitive exam examination, 5 marks are awarded for each correc...
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In a competitive exam examination, 5 marks are awarded for each correct answer while 2 marks are deducted for each wrong answer. Vidya has answered 120 questions and got 348 marks how many questions she answer correctly?
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