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Rajesh scored 40 marks on a test getting 3 marks for each right answer and losing one mark for each wrong answer. If 4 marks have been awarded for each correct answer and 2 marks have been deducted for each incorrect answer then Rajesh will score 50 marks. What is the number of questions in the test?
- a)30
- b)20
- c)15
- d)40
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Rajesh scored 40 marks on a test getting 3 marks for each right answer...
Let number of right answer be x and number of wrong answer be y.
3x - y = 40 ...(1)
4x - 2y = 50 ⇒ 2x - y = 25 ...(2)
Solving (1) and (2) x = 15, y = 5
No. of questions = 15 + 5 = 20
3x - y = 40 ...(1)
4x - 2y = 50 ⇒ 2x - y = 25 ...(2)
Solving (1) and (2) x = 15, y = 5
No. of questions = 15 + 5 = 20
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Community Answer
Rajesh scored 40 marks on a test getting 3 marks for each right answer...
Given:
- Rajesh scored 40 marks on the test.
- He gets 3 marks for each right answer and loses 1 mark for each wrong answer.
- If 4 marks were awarded for each correct answer and 2 marks were deducted for each incorrect answer, Rajesh would score 50 marks.
To find: The number of questions in the test.
Assumption:
Let's assume the number of questions in the test as 'x'.
Solution:
1. Calculating score based on the given information:
- According to the given information, Rajesh scored 40 marks on the test.
- For each right answer, he gets 3 marks, so the total marks scored for all the right answers would be 3 * (number of right answers).
- For each wrong answer, he loses 1 mark, so the total marks deducted for all the wrong answers would be 1 * (number of wrong answers).
- Therefore, we can write the equation as: 3 * (number of right answers) - 1 * (number of wrong answers) = 40.
2. Calculating score based on the alternative scenario:
- According to the alternative scenario, if 4 marks were awarded for each correct answer and 2 marks were deducted for each incorrect answer, Rajesh would score 50 marks.
- For each correct answer, he gets 4 marks, so the total marks scored for all the correct answers would be 4 * (number of correct answers).
- For each incorrect answer, he loses 2 marks, so the total marks deducted for all the incorrect answers would be 2 * (number of incorrect answers).
- Therefore, we can write the equation as: 4 * (number of correct answers) - 2 * (number of incorrect answers) = 50.
3. Solving the equations:
- We have two equations:
1) 3 * (number of right answers) - 1 * (number of wrong answers) = 40
2) 4 * (number of correct answers) - 2 * (number of incorrect answers) = 50
- If we simplify both equations, we get:
1) 3 * (number of right answers) - (number of wrong answers) = 40
2) 4 * (number of correct answers) - 2 * (number of incorrect answers) = 50
- We can multiply equation 1 by 2 to eliminate the negative sign:
2 * (3 * (number of right answers) - (number of wrong answers)) = 2 * 40
Simplifying it, we get: 6 * (number of right answers) - 2 * (number of wrong answers) = 80
- Now, we have two equations:
1) 6 * (number of right answers) - 2 * (number of wrong answers) = 80
2) 4 * (number of correct answers) - 2 * (number of incorrect answers) = 50
- If we compare both equations, we can see that they are the same.
- Therefore, we can conclude that the number of right answers is equal to the number of correct answers and the number of wrong answers is
- Rajesh scored 40 marks on the test.
- He gets 3 marks for each right answer and loses 1 mark for each wrong answer.
- If 4 marks were awarded for each correct answer and 2 marks were deducted for each incorrect answer, Rajesh would score 50 marks.
To find: The number of questions in the test.
Assumption:
Let's assume the number of questions in the test as 'x'.
Solution:
1. Calculating score based on the given information:
- According to the given information, Rajesh scored 40 marks on the test.
- For each right answer, he gets 3 marks, so the total marks scored for all the right answers would be 3 * (number of right answers).
- For each wrong answer, he loses 1 mark, so the total marks deducted for all the wrong answers would be 1 * (number of wrong answers).
- Therefore, we can write the equation as: 3 * (number of right answers) - 1 * (number of wrong answers) = 40.
2. Calculating score based on the alternative scenario:
- According to the alternative scenario, if 4 marks were awarded for each correct answer and 2 marks were deducted for each incorrect answer, Rajesh would score 50 marks.
- For each correct answer, he gets 4 marks, so the total marks scored for all the correct answers would be 4 * (number of correct answers).
- For each incorrect answer, he loses 2 marks, so the total marks deducted for all the incorrect answers would be 2 * (number of incorrect answers).
- Therefore, we can write the equation as: 4 * (number of correct answers) - 2 * (number of incorrect answers) = 50.
3. Solving the equations:
- We have two equations:
1) 3 * (number of right answers) - 1 * (number of wrong answers) = 40
2) 4 * (number of correct answers) - 2 * (number of incorrect answers) = 50
- If we simplify both equations, we get:
1) 3 * (number of right answers) - (number of wrong answers) = 40
2) 4 * (number of correct answers) - 2 * (number of incorrect answers) = 50
- We can multiply equation 1 by 2 to eliminate the negative sign:
2 * (3 * (number of right answers) - (number of wrong answers)) = 2 * 40
Simplifying it, we get: 6 * (number of right answers) - 2 * (number of wrong answers) = 80
- Now, we have two equations:
1) 6 * (number of right answers) - 2 * (number of wrong answers) = 80
2) 4 * (number of correct answers) - 2 * (number of incorrect answers) = 50
- If we compare both equations, we can see that they are the same.
- Therefore, we can conclude that the number of right answers is equal to the number of correct answers and the number of wrong answers is
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Rajesh scored 40 marks on a test getting 3 marks for each right answer and losing one mark for each wrong answer. If 4 marks have been awarded for each correct answer and 2 marks have been deducted for each incorrect answer then Rajesh will score 50 marks. What is the number of questions in the test?a)30b)20c)15d)40Correct answer is option 'B'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Rajesh scored 40 marks on a test getting 3 marks for each right answer and losing one mark for each wrong answer. If 4 marks have been awarded for each correct answer and 2 marks have been deducted for each incorrect answer then Rajesh will score 50 marks. What is the number of questions in the test?a)30b)20c)15d)40Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Rajesh scored 40 marks on a test getting 3 marks for each right answer and losing one mark for each wrong answer. If 4 marks have been awarded for each correct answer and 2 marks have been deducted for each incorrect answer then Rajesh will score 50 marks. What is the number of questions in the test?a)30b)20c)15d)40Correct answer is option 'B'. Can you explain this answer?.
Rajesh scored 40 marks on a test getting 3 marks for each right answer and losing one mark for each wrong answer. If 4 marks have been awarded for each correct answer and 2 marks have been deducted for each incorrect answer then Rajesh will score 50 marks. What is the number of questions in the test?a)30b)20c)15d)40Correct answer is option 'B'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Rajesh scored 40 marks on a test getting 3 marks for each right answer and losing one mark for each wrong answer. If 4 marks have been awarded for each correct answer and 2 marks have been deducted for each incorrect answer then Rajesh will score 50 marks. What is the number of questions in the test?a)30b)20c)15d)40Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Rajesh scored 40 marks on a test getting 3 marks for each right answer and losing one mark for each wrong answer. If 4 marks have been awarded for each correct answer and 2 marks have been deducted for each incorrect answer then Rajesh will score 50 marks. What is the number of questions in the test?a)30b)20c)15d)40Correct answer is option 'B'. Can you explain this answer?.
Solutions for Rajesh scored 40 marks on a test getting 3 marks for each right answer and losing one mark for each wrong answer. If 4 marks have been awarded for each correct answer and 2 marks have been deducted for each incorrect answer then Rajesh will score 50 marks. What is the number of questions in the test?a)30b)20c)15d)40Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
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Rajesh scored 40 marks on a test getting 3 marks for each right answer and losing one mark for each wrong answer. If 4 marks have been awarded for each correct answer and 2 marks have been deducted for each incorrect answer then Rajesh will score 50 marks. What is the number of questions in the test?a)30b)20c)15d)40Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Rajesh scored 40 marks on a test getting 3 marks for each right answer and losing one mark for each wrong answer. If 4 marks have been awarded for each correct answer and 2 marks have been deducted for each incorrect answer then Rajesh will score 50 marks. What is the number of questions in the test?a)30b)20c)15d)40Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Rajesh scored 40 marks on a test getting 3 marks for each right answer and losing one mark for each wrong answer. If 4 marks have been awarded for each correct answer and 2 marks have been deducted for each incorrect answer then Rajesh will score 50 marks. What is the number of questions in the test?a)30b)20c)15d)40Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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