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An entrance test had only two types of questions: 1-mark questions and 2-mark questions. The test had six sections and the sectional distribution of the 1-mark and 2- mark questions was as shown in the table below:
The table below shows the percentage distribution (on a sectional basis) of the marks scored by one particular student, Karan, in this test.
Also it is known that
1. No negative marks were given for any wrong attempt or for any unattempted question.
2. There were 500 questions in the test, of which 80 were from QA.
3. Karan scored 300 marks in the test.
Q. What is the minimum number of 1-mark questions that Karan could have attempted?
- a)120
- b)125
- c)130
- d)None of the above
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
An entrance test had only two types of questions: 1-mark questions and...
Solution: Total marks of Karan = 300 Karan’s marks in RC = 25% of 300 = 75 Similarly, Karan’s marks in each section are LR = 75; QA = 60; Dl = 30; GK = 15 and VA = 45 Now, consider the solution to the first question. A student does not lose marks for incorrect and unattempted questions.
Consider RC. It has 80 1-mark questions and 10 2-mark questions.
To minimize the number of 1-mark attempts in this section, Karan should attempt as many 2-mark questions as possible.
If Karan correctly attempts all 10 2-mark questions in RC, maximum marks obtained through these = 10(2) = 20 Minimum marks obtained through 1-mark questions = minimum number of 1- mark questions attempted = 75 - 20 = 55 Similarly, the minimum number of 1-mark questions attempted in each section is as tabulated below.
Consider RC. It has 80 1-mark questions and 10 2-mark questions.
To minimize the number of 1-mark attempts in this section, Karan should attempt as many 2-mark questions as possible.
If Karan correctly attempts all 10 2-mark questions in RC, maximum marks obtained through these = 10(2) = 20 Minimum marks obtained through 1-mark questions = minimum number of 1- mark questions attempted = 75 - 20 = 55 Similarly, the minimum number of 1-mark questions attempted in each section is as tabulated below.
Observe that in GK and VA, maximum possible marks through 2-mark questions > Karan’s total score in that section Let the maximum number of 2-mark questions attempted by Karan in GK be p.
∴ 2p ≤ 15 i.e. p ≤ 7.5
Thus, maximum 2-mark questions attempted in Karan in GK is 7. Minimum 1-mark questions attempted by Karan in GK = 15 - 2(7) = 1 The same logic also applies to the VA section. Minimum number of 1-mark questions that he could have attempted = 55 + 35 + 20 + 20 + 1 + 1 = 132
Hence, option 4.
Thus, maximum 2-mark questions attempted in Karan in GK is 7. Minimum 1-mark questions attempted by Karan in GK = 15 - 2(7) = 1 The same logic also applies to the VA section. Minimum number of 1-mark questions that he could have attempted = 55 + 35 + 20 + 20 + 1 + 1 = 132
Hence, option 4.
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An entrance test had only two types of questions: 1-mark questions and 2-mark questions. The test had six sections and the sectional distribution of the 1-mark and 2- mark questions was as shown in the table below:The table below shows the percentage distribution (on a sectional basis) of the marks scored by one particular student, Karan, in this test.Also it is known that1. No negative marks were given for any wrong attempt or for any unattempted question.2. There were 500 questions in the test, of which 80 were from QA.3. Karan scored 300 marks in the test.Q. What is the minimum number of 1-mark questions that Karan could have attempted?a)120b)125c)130d)None of the aboveCorrect answer is option 'D'. Can you explain this answer?
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An entrance test had only two types of questions: 1-mark questions and 2-mark questions. The test had six sections and the sectional distribution of the 1-mark and 2- mark questions was as shown in the table below:The table below shows the percentage distribution (on a sectional basis) of the marks scored by one particular student, Karan, in this test.Also it is known that1. No negative marks were given for any wrong attempt or for any unattempted question.2. There were 500 questions in the test, of which 80 were from QA.3. Karan scored 300 marks in the test.Q. What is the minimum number of 1-mark questions that Karan could have attempted?a)120b)125c)130d)None of the aboveCorrect answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about An entrance test had only two types of questions: 1-mark questions and 2-mark questions. The test had six sections and the sectional distribution of the 1-mark and 2- mark questions was as shown in the table below:The table below shows the percentage distribution (on a sectional basis) of the marks scored by one particular student, Karan, in this test.Also it is known that1. No negative marks were given for any wrong attempt or for any unattempted question.2. There were 500 questions in the test, of which 80 were from QA.3. Karan scored 300 marks in the test.Q. What is the minimum number of 1-mark questions that Karan could have attempted?a)120b)125c)130d)None of the aboveCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An entrance test had only two types of questions: 1-mark questions and 2-mark questions. The test had six sections and the sectional distribution of the 1-mark and 2- mark questions was as shown in the table below:The table below shows the percentage distribution (on a sectional basis) of the marks scored by one particular student, Karan, in this test.Also it is known that1. No negative marks were given for any wrong attempt or for any unattempted question.2. There were 500 questions in the test, of which 80 were from QA.3. Karan scored 300 marks in the test.Q. What is the minimum number of 1-mark questions that Karan could have attempted?a)120b)125c)130d)None of the aboveCorrect answer is option 'D'. Can you explain this answer?.
An entrance test had only two types of questions: 1-mark questions and 2-mark questions. The test had six sections and the sectional distribution of the 1-mark and 2- mark questions was as shown in the table below:The table below shows the percentage distribution (on a sectional basis) of the marks scored by one particular student, Karan, in this test.Also it is known that1. No negative marks were given for any wrong attempt or for any unattempted question.2. There were 500 questions in the test, of which 80 were from QA.3. Karan scored 300 marks in the test.Q. What is the minimum number of 1-mark questions that Karan could have attempted?a)120b)125c)130d)None of the aboveCorrect answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about An entrance test had only two types of questions: 1-mark questions and 2-mark questions. The test had six sections and the sectional distribution of the 1-mark and 2- mark questions was as shown in the table below:The table below shows the percentage distribution (on a sectional basis) of the marks scored by one particular student, Karan, in this test.Also it is known that1. No negative marks were given for any wrong attempt or for any unattempted question.2. There were 500 questions in the test, of which 80 were from QA.3. Karan scored 300 marks in the test.Q. What is the minimum number of 1-mark questions that Karan could have attempted?a)120b)125c)130d)None of the aboveCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An entrance test had only two types of questions: 1-mark questions and 2-mark questions. The test had six sections and the sectional distribution of the 1-mark and 2- mark questions was as shown in the table below:The table below shows the percentage distribution (on a sectional basis) of the marks scored by one particular student, Karan, in this test.Also it is known that1. No negative marks were given for any wrong attempt or for any unattempted question.2. There were 500 questions in the test, of which 80 were from QA.3. Karan scored 300 marks in the test.Q. What is the minimum number of 1-mark questions that Karan could have attempted?a)120b)125c)130d)None of the aboveCorrect answer is option 'D'. Can you explain this answer?.
Solutions for An entrance test had only two types of questions: 1-mark questions and 2-mark questions. The test had six sections and the sectional distribution of the 1-mark and 2- mark questions was as shown in the table below:The table below shows the percentage distribution (on a sectional basis) of the marks scored by one particular student, Karan, in this test.Also it is known that1. No negative marks were given for any wrong attempt or for any unattempted question.2. There were 500 questions in the test, of which 80 were from QA.3. Karan scored 300 marks in the test.Q. What is the minimum number of 1-mark questions that Karan could have attempted?a)120b)125c)130d)None of the aboveCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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