Question
In a test +3 marks are given for every correct answer and -1 mark are given for every incorrect answer.
Sona attempted all the questions and she got 10 correct answers. Find how many questions were given in the test?
Sona attempted all the questions and she got 10 correct answers. Find how many questions were given in the test?
Answers
Answered by
GPT 3.5
Let x be the total number of questions in the test.
Given that Sona got 10 correct answers, she received 10*3 = 30 marks for the correct answers.
Let y be the number of incorrect answers. The total number of questions attempted by Sona is x = 10 + y.
For the incorrect answers, she received -1*y = -y marks.
The total marks received by Sona is 30 - y.
Since each correct answer is worth +3 marks and each incorrect answer is worth -1 mark, the equation for the total marks is:
30 - y = 3*(10) - 1*y
30 - y = 30 - y
Solving this equation, we get:
0 = 0
This means that the number of questions attempted by Sona doesn't affect the total marks received.
Therefore, the total number of questions in the test is x = 10 correct answers + y incorrect answers = 10 + y. - So, we cannot determine the total number of questions in the test with the information given.
Given that Sona got 10 correct answers, she received 10*3 = 30 marks for the correct answers.
Let y be the number of incorrect answers. The total number of questions attempted by Sona is x = 10 + y.
For the incorrect answers, she received -1*y = -y marks.
The total marks received by Sona is 30 - y.
Since each correct answer is worth +3 marks and each incorrect answer is worth -1 mark, the equation for the total marks is:
30 - y = 3*(10) - 1*y
30 - y = 30 - y
Solving this equation, we get:
0 = 0
This means that the number of questions attempted by Sona doesn't affect the total marks received.
Therefore, the total number of questions in the test is x = 10 correct answers + y incorrect answers = 10 + y. - So, we cannot determine the total number of questions in the test with the information given.