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DIRECTIONS for the question:
Solve the following question and write the answer.
Solve the following question and write the answer.
In an examination, a candidate wrote seven papers all having equal maximum possible marks. If the marks he secured in these seven papers are in the ratio 4 : 5 : 6 : 7 : 8: 9: 10, and the average of his highest and lowest scores is 60%, find the number of papers in which he scored not less than 75%. (in numerical value)
Correct answer is '2'. Can you explain this answer?
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DIRECTIONS for the question: Solve the following question and write th...
Average of 4 and 10 is 7 which is 60% of total. Hence total is 7/60% and 75% of which is 8.75. So required number of papers is 2.
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DIRECTIONS for the question: Solve the following question and write th...
Concept: To find the number of papers in which the candidate scored not less than 75%, we need to determine the marks obtained by the candidate in each paper, and then count the number of papers in which he scored 75% or more.
Calculation:
Let the maximum possible marks in each paper be x.
Then, the marks obtained by the candidate in each paper are:
- Paper 1: (4/45)x
- Paper 2: (5/45)x
- Paper 3: (6/45)x
- Paper 4: (7/45)x
- Paper 5: (8/45)x
- Paper 6: (9/45)x
- Paper 7: (10/45)x
We know that the average of the highest and lowest scores is 60%. Let the highest score be y.
Then, the lowest score is (2*60% - y) = (120% - y).
So, the marks obtained by the candidate in each paper can be expressed in terms of y as follows:
- Paper 1: (4/45)y
- Paper 2: (5/45)y
- Paper 3: (6/45)y
- Paper 4: (7/45)y
- Paper 5: (8/45)y
- Paper 6: (9/45)y
- Paper 7: (10/45)y
To determine the value of y, we can use the fact that the ratio of the marks obtained in the seven papers is 4:5:6:7:8:9:10. Therefore,
- (4/45)y : (5/45)y : (6/45)y : (7/45)y : (8/45)y : (9/45)y : (10/45)y
- Simplifying the ratio, we get:
- 4:5:6:7:8:9:10
- Since the ratio is the same, the marks obtained in each paper are in arithmetic progression.
Let the common difference be d. Then,
- (5/45)y - (4/45)y = d
- d = (1/45)y
- (10/45)y - (4/45)y = 6d
- 6d = (6/45)y
- (10/45)y - (4/45)y = (6/45)y
- (6/45)y = (6/45)*x
- y = x
Therefore, the maximum marks in each paper is y, and the marks obtained by the candidate in each paper are:
- Paper 1: (4/45)x
- Paper 2: (5/45)x
- Paper 3: (6/45)x
- Paper 4: (7/45)x
- Paper 5: (8/45)x
- Paper 6: (9/45)x
- Paper 7: (10/45)x
Now, we need to find the number of papers in which the candidate scored not less than 75%. The minimum marks required to score 75% are (75/100)*x = (3/4)x.
Therefore, the papers in which the candidate scored not less than 75% are:
- Paper 6: (9/45
Calculation:
Let the maximum possible marks in each paper be x.
Then, the marks obtained by the candidate in each paper are:
- Paper 1: (4/45)x
- Paper 2: (5/45)x
- Paper 3: (6/45)x
- Paper 4: (7/45)x
- Paper 5: (8/45)x
- Paper 6: (9/45)x
- Paper 7: (10/45)x
We know that the average of the highest and lowest scores is 60%. Let the highest score be y.
Then, the lowest score is (2*60% - y) = (120% - y).
So, the marks obtained by the candidate in each paper can be expressed in terms of y as follows:
- Paper 1: (4/45)y
- Paper 2: (5/45)y
- Paper 3: (6/45)y
- Paper 4: (7/45)y
- Paper 5: (8/45)y
- Paper 6: (9/45)y
- Paper 7: (10/45)y
To determine the value of y, we can use the fact that the ratio of the marks obtained in the seven papers is 4:5:6:7:8:9:10. Therefore,
- (4/45)y : (5/45)y : (6/45)y : (7/45)y : (8/45)y : (9/45)y : (10/45)y
- Simplifying the ratio, we get:
- 4:5:6:7:8:9:10
- Since the ratio is the same, the marks obtained in each paper are in arithmetic progression.
Let the common difference be d. Then,
- (5/45)y - (4/45)y = d
- d = (1/45)y
- (10/45)y - (4/45)y = 6d
- 6d = (6/45)y
- (10/45)y - (4/45)y = (6/45)y
- (6/45)y = (6/45)*x
- y = x
Therefore, the maximum marks in each paper is y, and the marks obtained by the candidate in each paper are:
- Paper 1: (4/45)x
- Paper 2: (5/45)x
- Paper 3: (6/45)x
- Paper 4: (7/45)x
- Paper 5: (8/45)x
- Paper 6: (9/45)x
- Paper 7: (10/45)x
Now, we need to find the number of papers in which the candidate scored not less than 75%. The minimum marks required to score 75% are (75/100)*x = (3/4)x.
Therefore, the papers in which the candidate scored not less than 75% are:
- Paper 6: (9/45
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DIRECTIONS for the question: Solve the following question and write the answer.In an examination, a candidate wrote seven papers all having equal maximum possible marks. If the marks he secured in these seven papers are in the ratio 4 : 5 : 6 : 7 : 8: 9: 10, and the average of his highest and lowest scores is 60%, find the number of papers in which he scored not less than 75%. (in numerical value)Correct answer is '2'. Can you explain this answer?
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DIRECTIONS for the question: Solve the following question and write the answer.In an examination, a candidate wrote seven papers all having equal maximum possible marks. If the marks he secured in these seven papers are in the ratio 4 : 5 : 6 : 7 : 8: 9: 10, and the average of his highest and lowest scores is 60%, find the number of papers in which he scored not less than 75%. (in numerical value)Correct answer is '2'. 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 DIRECTIONS for the question: Solve the following question and write the answer.In an examination, a candidate wrote seven papers all having equal maximum possible marks. If the marks he secured in these seven papers are in the ratio 4 : 5 : 6 : 7 : 8: 9: 10, and the average of his highest and lowest scores is 60%, find the number of papers in which he scored not less than 75%. (in numerical value)Correct answer is '2'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for DIRECTIONS for the question: Solve the following question and write the answer.In an examination, a candidate wrote seven papers all having equal maximum possible marks. If the marks he secured in these seven papers are in the ratio 4 : 5 : 6 : 7 : 8: 9: 10, and the average of his highest and lowest scores is 60%, find the number of papers in which he scored not less than 75%. (in numerical value)Correct answer is '2'. Can you explain this answer?.
DIRECTIONS for the question: Solve the following question and write the answer.In an examination, a candidate wrote seven papers all having equal maximum possible marks. If the marks he secured in these seven papers are in the ratio 4 : 5 : 6 : 7 : 8: 9: 10, and the average of his highest and lowest scores is 60%, find the number of papers in which he scored not less than 75%. (in numerical value)Correct answer is '2'. 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 DIRECTIONS for the question: Solve the following question and write the answer.In an examination, a candidate wrote seven papers all having equal maximum possible marks. If the marks he secured in these seven papers are in the ratio 4 : 5 : 6 : 7 : 8: 9: 10, and the average of his highest and lowest scores is 60%, find the number of papers in which he scored not less than 75%. (in numerical value)Correct answer is '2'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for DIRECTIONS for the question: Solve the following question and write the answer.In an examination, a candidate wrote seven papers all having equal maximum possible marks. If the marks he secured in these seven papers are in the ratio 4 : 5 : 6 : 7 : 8: 9: 10, and the average of his highest and lowest scores is 60%, find the number of papers in which he scored not less than 75%. (in numerical value)Correct answer is '2'. Can you explain this answer?.
Solutions for DIRECTIONS for the question: Solve the following question and write the answer.In an examination, a candidate wrote seven papers all having equal maximum possible marks. If the marks he secured in these seven papers are in the ratio 4 : 5 : 6 : 7 : 8: 9: 10, and the average of his highest and lowest scores is 60%, find the number of papers in which he scored not less than 75%. (in numerical value)Correct answer is '2'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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Here you can find the meaning of DIRECTIONS for the question: Solve the following question and write the answer.In an examination, a candidate wrote seven papers all having equal maximum possible marks. If the marks he secured in these seven papers are in the ratio 4 : 5 : 6 : 7 : 8: 9: 10, and the average of his highest and lowest scores is 60%, find the number of papers in which he scored not less than 75%. (in numerical value)Correct answer is '2'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
DIRECTIONS for the question: Solve the following question and write the answer.In an examination, a candidate wrote seven papers all having equal maximum possible marks. If the marks he secured in these seven papers are in the ratio 4 : 5 : 6 : 7 : 8: 9: 10, and the average of his highest and lowest scores is 60%, find the number of papers in which he scored not less than 75%. (in numerical value)Correct answer is '2'. Can you explain this answer?, a detailed solution for DIRECTIONS for the question: Solve the following question and write the answer.In an examination, a candidate wrote seven papers all having equal maximum possible marks. If the marks he secured in these seven papers are in the ratio 4 : 5 : 6 : 7 : 8: 9: 10, and the average of his highest and lowest scores is 60%, find the number of papers in which he scored not less than 75%. (in numerical value)Correct answer is '2'. Can you explain this answer? has been provided alongside types of DIRECTIONS for the question: Solve the following question and write the answer.In an examination, a candidate wrote seven papers all having equal maximum possible marks. If the marks he secured in these seven papers are in the ratio 4 : 5 : 6 : 7 : 8: 9: 10, and the average of his highest and lowest scores is 60%, find the number of papers in which he scored not less than 75%. (in numerical value)Correct answer is '2'. Can you explain this answer? theory, EduRev gives you an
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