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A student obtained a total of 630 marks in 5 subjects in an examination. Marks obtained in Hindi, English, Mathematics, Science and Social Science when shown in a pie chart by making central angles 65°, 53°, 85° 81° and 76° respectively. How many more marks were obtained by the student in Mathematics than in Science ?
- a)5
- b)8
- c)9
- d)2
Correct answer is option 'B'. Can you explain this answer?
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A student obtained a total of 630 marks in 5 subjects in an examinatio...
To determine the marks obtained in each subject, we need to find the central angle for each subject in the pie chart.
Let's assume the marks obtained in Hindi are represented by the central angle θ1.
Similarly, let θ2, θ3, θ4, and θ5 represent the central angles for English, Mathematics, Science, and Social Science, respectively.
According to the given information, the sum of the central angles is 360 degrees.
So, θ1 + θ2 + θ3 + θ4 + θ5 = 360.
We are also given that the central angle for each subject is 65 degrees.
So, θ1 = θ2 = θ3 = θ4 = θ5 = 65.
To find the marks obtained in each subject, we need to calculate the fraction of the total marks represented by each central angle.
Let M1, M2, M3, M4, and M5 represent the marks obtained in Hindi, English, Mathematics, Science, and Social Science, respectively.
We know that the sum of the central angles is 360 degrees, which represents the total marks obtained.
So, the fraction of the total marks represented by each central angle is given by:
θ1/360 = M1/630
θ2/360 = M2/630
θ3/360 = M3/630
θ4/360 = M4/630
θ5/360 = M5/630
Since θ1 = θ2 = θ3 = θ4 = θ5 = 65, we can substitute this value into the equations.
65/360 = M1/630
65/360 = M2/630
65/360 = M3/630
65/360 = M4/630
65/360 = M5/630
Now, we can solve these equations to find the marks obtained in each subject.
M1 = (65/360) * 630
M2 = (65/360) * 630
M3 = (65/360) * 630
M4 = (65/360) * 630
M5 = (65/360) * 630
Calculating these values, we find:
M1 ≈ 113.75
M2 ≈ 113.75
M3 ≈ 113.75
M4 ≈ 113.75
M5 ≈ 113.75
Therefore, the marks obtained in Hindi, English, Mathematics, Science, and Social Science are approximately 113.75 in each subject.
Let's assume the marks obtained in Hindi are represented by the central angle θ1.
Similarly, let θ2, θ3, θ4, and θ5 represent the central angles for English, Mathematics, Science, and Social Science, respectively.
According to the given information, the sum of the central angles is 360 degrees.
So, θ1 + θ2 + θ3 + θ4 + θ5 = 360.
We are also given that the central angle for each subject is 65 degrees.
So, θ1 = θ2 = θ3 = θ4 = θ5 = 65.
To find the marks obtained in each subject, we need to calculate the fraction of the total marks represented by each central angle.
Let M1, M2, M3, M4, and M5 represent the marks obtained in Hindi, English, Mathematics, Science, and Social Science, respectively.
We know that the sum of the central angles is 360 degrees, which represents the total marks obtained.
So, the fraction of the total marks represented by each central angle is given by:
θ1/360 = M1/630
θ2/360 = M2/630
θ3/360 = M3/630
θ4/360 = M4/630
θ5/360 = M5/630
Since θ1 = θ2 = θ3 = θ4 = θ5 = 65, we can substitute this value into the equations.
65/360 = M1/630
65/360 = M2/630
65/360 = M3/630
65/360 = M4/630
65/360 = M5/630
Now, we can solve these equations to find the marks obtained in each subject.
M1 = (65/360) * 630
M2 = (65/360) * 630
M3 = (65/360) * 630
M4 = (65/360) * 630
M5 = (65/360) * 630
Calculating these values, we find:
M1 ≈ 113.75
M2 ≈ 113.75
M3 ≈ 113.75
M4 ≈ 113.75
M5 ≈ 113.75
Therefore, the marks obtained in Hindi, English, Mathematics, Science, and Social Science are approximately 113.75 in each subject.
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Community Answer
A student obtained a total of 630 marks in 5 subjects in an examinatio...
Given:
Central angle for Hindi: 65° Central angle for Mathematics: 85°
Concept used:
To find the difference between the marks obtained in Mathematics and Science, we need to calculate the respective central angles for each subject and then use them to determine the marks obtained
Calculation:
Calculate the total of all central angles: Total of central angles = 65° + 53° + 85° + 81° + 76° = 360°
Calculate the marks obtained in Science and Mathematics using the central angles: Marks obtained in Science = (81° / 360°) × Total marks = (81/360) × 630 = 141.75 (approximated to 114 marks)
Marks obtained in Mathematics = (85° / 360°) × Total marks = (85/360) × 630 = 148.75 (approximated to 149 marks)
Calculate the difference in marks between Mathematics and Hindi: Difference = Marks obtained in Mathematics - Marks obtained in Hindi Difference = 149 - 141 = 8 marks
Hence, the student obtained 35 more marks in Mathematics than in Science.
Central angle for Hindi: 65° Central angle for Mathematics: 85°
Concept used:
To find the difference between the marks obtained in Mathematics and Science, we need to calculate the respective central angles for each subject and then use them to determine the marks obtained
Calculation:
Calculate the total of all central angles: Total of central angles = 65° + 53° + 85° + 81° + 76° = 360°
Calculate the marks obtained in Science and Mathematics using the central angles: Marks obtained in Science = (81° / 360°) × Total marks = (81/360) × 630 = 141.75 (approximated to 114 marks)
Marks obtained in Mathematics = (85° / 360°) × Total marks = (85/360) × 630 = 148.75 (approximated to 149 marks)
Calculate the difference in marks between Mathematics and Hindi: Difference = Marks obtained in Mathematics - Marks obtained in Hindi Difference = 149 - 141 = 8 marks
Hence, the student obtained 35 more marks in Mathematics than in Science.
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A student obtained a total of 630 marks in 5 subjects in an examination. Marks obtained in Hindi, English, Mathematics, Science and Social Science when shown in a pie chart by making central angles 65°, 53°, 85° 81° and 76° respectively. How many more marks were obtained by the student in Mathematics than in Science ?a)5b)8c)9d)2Correct answer is option 'B'. Can you explain this answer?
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A student obtained a total of 630 marks in 5 subjects in an examination. Marks obtained in Hindi, English, Mathematics, Science and Social Science when shown in a pie chart by making central angles 65°, 53°, 85° 81° and 76° respectively. How many more marks were obtained by the student in Mathematics than in Science ?a)5b)8c)9d)2Correct answer is option 'B'. Can you explain this answer? for CTET & State TET 2024 is part of CTET & State TET preparation. The Question and answers have been prepared according to the CTET & State TET exam syllabus. Information about A student obtained a total of 630 marks in 5 subjects in an examination. Marks obtained in Hindi, English, Mathematics, Science and Social Science when shown in a pie chart by making central angles 65°, 53°, 85° 81° and 76° respectively. How many more marks were obtained by the student in Mathematics than in Science ?a)5b)8c)9d)2Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CTET & State TET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A student obtained a total of 630 marks in 5 subjects in an examination. Marks obtained in Hindi, English, Mathematics, Science and Social Science when shown in a pie chart by making central angles 65°, 53°, 85° 81° and 76° respectively. How many more marks were obtained by the student in Mathematics than in Science ?a)5b)8c)9d)2Correct answer is option 'B'. Can you explain this answer?.
A student obtained a total of 630 marks in 5 subjects in an examination. Marks obtained in Hindi, English, Mathematics, Science and Social Science when shown in a pie chart by making central angles 65°, 53°, 85° 81° and 76° respectively. How many more marks were obtained by the student in Mathematics than in Science ?a)5b)8c)9d)2Correct answer is option 'B'. Can you explain this answer? for CTET & State TET 2024 is part of CTET & State TET preparation. The Question and answers have been prepared according to the CTET & State TET exam syllabus. Information about A student obtained a total of 630 marks in 5 subjects in an examination. Marks obtained in Hindi, English, Mathematics, Science and Social Science when shown in a pie chart by making central angles 65°, 53°, 85° 81° and 76° respectively. How many more marks were obtained by the student in Mathematics than in Science ?a)5b)8c)9d)2Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CTET & State TET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A student obtained a total of 630 marks in 5 subjects in an examination. Marks obtained in Hindi, English, Mathematics, Science and Social Science when shown in a pie chart by making central angles 65°, 53°, 85° 81° and 76° respectively. How many more marks were obtained by the student in Mathematics than in Science ?a)5b)8c)9d)2Correct answer is option 'B'. Can you explain this answer?.
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A student obtained a total of 630 marks in 5 subjects in an examination. Marks obtained in Hindi, English, Mathematics, Science and Social Science when shown in a pie chart by making central angles 65°, 53°, 85° 81° and 76° respectively. How many more marks were obtained by the student in Mathematics than in Science ?a)5b)8c)9d)2Correct answer is option 'B'. Can you explain this answer?, a detailed solution for A student obtained a total of 630 marks in 5 subjects in an examination. Marks obtained in Hindi, English, Mathematics, Science and Social Science when shown in a pie chart by making central angles 65°, 53°, 85° 81° and 76° respectively. How many more marks were obtained by the student in Mathematics than in Science ?a)5b)8c)9d)2Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of A student obtained a total of 630 marks in 5 subjects in an examination. Marks obtained in Hindi, English, Mathematics, Science and Social Science when shown in a pie chart by making central angles 65°, 53°, 85° 81° and 76° respectively. How many more marks were obtained by the student in Mathematics than in Science ?a)5b)8c)9d)2Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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