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Ajay is writing a test which consists of 'True' or 'False' questions. One mark is awarded for every correct answer while & mark is deducted for every wrong answer. Ajay knew answers to some of the questions. Rest of the questions he attempted by guessing.
i. If he answered 110 questions and got 80 marks and answer to all questions, he attempted by guessing were wrong, then how many questions did he answer correctly?
ii. if he answered 110 questions and got 80 marks and answer to all questions, he attempted by guessing were wrong, then how many questions did he guess?
If answer to all questions he attempted by guessing were wrong and answered 80 correctly, then how many marks he got?
OR
if answer to all questions he attempted by guessing were wrong, then how many questions answered correctly to score 95 marks?
i. If he answered 110 questions and got 80 marks and answer to all questions, he attempted by guessing were wrong, then how many questions did he answer correctly?
ii. if he answered 110 questions and got 80 marks and answer to all questions, he attempted by guessing were wrong, then how many questions did he guess?
If answer to all questions he attempted by guessing were wrong and answered 80 correctly, then how many marks he got?
OR
if answer to all questions he attempted by guessing were wrong, then how many questions answered correctly to score 95 marks?
Most Upvoted Answer
Ajay is writing a test which consists of 'True' or 'False' questions. ...
Understanding the Problem
Ajay's test consists of True or False questions, where correct answers earn him 1 mark and wrong answers deduct 0.25 marks. He answered a total of 110 questions and scored 80 marks, with all guessed answers being incorrect.
i. Number of Questions Answered Correctly
- Total questions answered: 110
- Let 'C' be the number of questions answered correctly and 'W' be the number of questions answered incorrectly.
- From the problem, we know: C + W = 110
- Since Ajay scored 80 marks and lost 0.25 marks for each wrong answer, we can express his score as:
Score = C - 0.25W = 80
- Now, solving these two equations:
1. C + W = 110
2. C - 0.25W = 80
- From the first equation, W = 110 - C.
- Substituting W into the second equation:
C - 0.25(110 - C) = 80
- Solving gives C = 100.
ii. Number of Questions Guessed
- Using W = 110 - C, we find W = 110 - 100 = 10.
- Thus, Ajay guessed 10 questions.
Score with 80 Correct Answers
- If Ajay answered 80 questions correctly and all guessed answers (30 questions) were wrong, his score would be:
Score = Correct answers - 0.25 * Wrong answers = 80 - 0.25 * 30 = 80 - 7.5 = 72.5 marks.
Score for 95 Marks
- To achieve 95 marks:
Score = C - 0.25W = 95
- If W is 30 (guessed questions), then:
C - 0.25 * 30 = 95
C - 7.5 = 95
C = 102.5 (not possible, hence fewer guessed questions).
- Adjusting W to 20, we find C = 100.
- Hence, to score 95 marks, Ajay needs to answer 100 questions correctly while guessing fewer than 30 incorrectly.
Ajay's test consists of True or False questions, where correct answers earn him 1 mark and wrong answers deduct 0.25 marks. He answered a total of 110 questions and scored 80 marks, with all guessed answers being incorrect.
i. Number of Questions Answered Correctly
- Total questions answered: 110
- Let 'C' be the number of questions answered correctly and 'W' be the number of questions answered incorrectly.
- From the problem, we know: C + W = 110
- Since Ajay scored 80 marks and lost 0.25 marks for each wrong answer, we can express his score as:
Score = C - 0.25W = 80
- Now, solving these two equations:
1. C + W = 110
2. C - 0.25W = 80
- From the first equation, W = 110 - C.
- Substituting W into the second equation:
C - 0.25(110 - C) = 80
- Solving gives C = 100.
ii. Number of Questions Guessed
- Using W = 110 - C, we find W = 110 - 100 = 10.
- Thus, Ajay guessed 10 questions.
Score with 80 Correct Answers
- If Ajay answered 80 questions correctly and all guessed answers (30 questions) were wrong, his score would be:
Score = Correct answers - 0.25 * Wrong answers = 80 - 0.25 * 30 = 80 - 7.5 = 72.5 marks.
Score for 95 Marks
- To achieve 95 marks:
Score = C - 0.25W = 95
- If W is 30 (guessed questions), then:
C - 0.25 * 30 = 95
C - 7.5 = 95
C = 102.5 (not possible, hence fewer guessed questions).
- Adjusting W to 20, we find C = 100.
- Hence, to score 95 marks, Ajay needs to answer 100 questions correctly while guessing fewer than 30 incorrectly.
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Ajay is writing a test which consists of 'True' or 'False' questions. One mark is awarded for every correct answer while & mark is deducted for every wrong answer. Ajay knew answers to some of the questions. Rest of the questions he attempted by guessing.i. If he answered 110 questions and got 80 marks and answer to all questions, he attempted by guessing were wrong, then how many questions did he answer correctly?ii. if he answered 110 questions and got 80 marks and answer to all questions, he attempted by guessing were wrong, then how many questions did he guess?If answer to all questions he attempted by guessing were wrong and answered 80 correctly, then how many marks he got?ORif answer to all questions he attempted by guessing were wrong, then how many questions answered correctly to score 95 marks?
Question Description
Ajay is writing a test which consists of 'True' or 'False' questions. One mark is awarded for every correct answer while & mark is deducted for every wrong answer. Ajay knew answers to some of the questions. Rest of the questions he attempted by guessing.i. If he answered 110 questions and got 80 marks and answer to all questions, he attempted by guessing were wrong, then how many questions did he answer correctly?ii. if he answered 110 questions and got 80 marks and answer to all questions, he attempted by guessing were wrong, then how many questions did he guess?If answer to all questions he attempted by guessing were wrong and answered 80 correctly, then how many marks he got?ORif answer to all questions he attempted by guessing were wrong, then how many questions answered correctly to score 95 marks? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Ajay is writing a test which consists of 'True' or 'False' questions. One mark is awarded for every correct answer while & mark is deducted for every wrong answer. Ajay knew answers to some of the questions. Rest of the questions he attempted by guessing.i. If he answered 110 questions and got 80 marks and answer to all questions, he attempted by guessing were wrong, then how many questions did he answer correctly?ii. if he answered 110 questions and got 80 marks and answer to all questions, he attempted by guessing were wrong, then how many questions did he guess?If answer to all questions he attempted by guessing were wrong and answered 80 correctly, then how many marks he got?ORif answer to all questions he attempted by guessing were wrong, then how many questions answered correctly to score 95 marks? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ajay is writing a test which consists of 'True' or 'False' questions. One mark is awarded for every correct answer while & mark is deducted for every wrong answer. Ajay knew answers to some of the questions. Rest of the questions he attempted by guessing.i. If he answered 110 questions and got 80 marks and answer to all questions, he attempted by guessing were wrong, then how many questions did he answer correctly?ii. if he answered 110 questions and got 80 marks and answer to all questions, he attempted by guessing were wrong, then how many questions did he guess?If answer to all questions he attempted by guessing were wrong and answered 80 correctly, then how many marks he got?ORif answer to all questions he attempted by guessing were wrong, then how many questions answered correctly to score 95 marks?.
Ajay is writing a test which consists of 'True' or 'False' questions. One mark is awarded for every correct answer while & mark is deducted for every wrong answer. Ajay knew answers to some of the questions. Rest of the questions he attempted by guessing.i. If he answered 110 questions and got 80 marks and answer to all questions, he attempted by guessing were wrong, then how many questions did he answer correctly?ii. if he answered 110 questions and got 80 marks and answer to all questions, he attempted by guessing were wrong, then how many questions did he guess?If answer to all questions he attempted by guessing were wrong and answered 80 correctly, then how many marks he got?ORif answer to all questions he attempted by guessing were wrong, then how many questions answered correctly to score 95 marks? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Ajay is writing a test which consists of 'True' or 'False' questions. One mark is awarded for every correct answer while & mark is deducted for every wrong answer. Ajay knew answers to some of the questions. Rest of the questions he attempted by guessing.i. If he answered 110 questions and got 80 marks and answer to all questions, he attempted by guessing were wrong, then how many questions did he answer correctly?ii. if he answered 110 questions and got 80 marks and answer to all questions, he attempted by guessing were wrong, then how many questions did he guess?If answer to all questions he attempted by guessing were wrong and answered 80 correctly, then how many marks he got?ORif answer to all questions he attempted by guessing were wrong, then how many questions answered correctly to score 95 marks? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ajay is writing a test which consists of 'True' or 'False' questions. One mark is awarded for every correct answer while & mark is deducted for every wrong answer. Ajay knew answers to some of the questions. Rest of the questions he attempted by guessing.i. If he answered 110 questions and got 80 marks and answer to all questions, he attempted by guessing were wrong, then how many questions did he answer correctly?ii. if he answered 110 questions and got 80 marks and answer to all questions, he attempted by guessing were wrong, then how many questions did he guess?If answer to all questions he attempted by guessing were wrong and answered 80 correctly, then how many marks he got?ORif answer to all questions he attempted by guessing were wrong, then how many questions answered correctly to score 95 marks?.
Solutions for Ajay is writing a test which consists of 'True' or 'False' questions. One mark is awarded for every correct answer while & mark is deducted for every wrong answer. Ajay knew answers to some of the questions. Rest of the questions he attempted by guessing.i. If he answered 110 questions and got 80 marks and answer to all questions, he attempted by guessing were wrong, then how many questions did he answer correctly?ii. if he answered 110 questions and got 80 marks and answer to all questions, he attempted by guessing were wrong, then how many questions did he guess?If answer to all questions he attempted by guessing were wrong and answered 80 correctly, then how many marks he got?ORif answer to all questions he attempted by guessing were wrong, then how many questions answered correctly to score 95 marks? in English & in Hindi are available as part of our courses for Class 9.
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