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In a class test, 5 marks are given for each correct answer and -2 for each incorrect answer aaryav answered all the questions and scored 30 marks, through he got 10 correct answer. Find the number of questions . Aaryav answered incorrect.?
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In a class test, 5 marks are given for each correct answer and -2 for ...
Class 7: Finding the number of incorrect answers in a test


Understanding the problem

In a class test, 5 marks are given for each correct answer and -2 for each incorrect answer. Aaryav answered all the questions and scored 30 marks, through he got 10 correct answer. We need to find the number of questions Aaryav answered incorrectly.


Breaking down the problem

To solve this problem, we can follow these steps:


  1. Calculate Aaryav's total marks if he had answered all the questions correctly.

  2. Subtract the total marks obtained by Aaryav from the total marks if he had answered all the questions correctly to find the total marks lost due to incorrect answers.

  3. Divide the total marks lost due to incorrect answers by -2 to find the number of incorrect answers.



Solving the problem

Let's solve the problem step by step:


  1. The total marks that Aaryav would have obtained if he had answered all the questions correctly = 5 * (total number of questions).

  2. The total marks obtained by Aaryav = 5 * 10 + (-2) * (number of incorrect answers).

  3. So, the total marks lost due to incorrect answers = 5 * (total number of questions) - (5 * 10 + (-2) * (number of incorrect answers)).

  4. 30 = 5 * 10 + (-2) * (number of incorrect answers)

  5. Number of incorrect answers = (5 * 10 - 30) / (-2) = 5



Answer

Aaryav answered 5 questions incorrectly.
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In a class test, 5 marks are given for each correct answer and -2 for each incorrect answer aaryav answered all the questions and scored 30 marks, through he got 10 correct answer. Find the number of questions . Aaryav answered incorrect.?
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