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In Mathematics exam, a student scored 30% marks in the first paper, out of the total of 180. How much should he score in second paper out of a total of 150, if he is to get an overall average of at least 50%
- a)74%
- b)76%
- c)70%
- d)80%
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
In Mathematics exam, a student scored 30% marks in the first paper, ou...
∵ 30% of 180 + N% of 150 = 50% of (180 + 150)
⇒ 54 + (N x 150)/100 = 165
⇒ 3N/2 = 111
∴ N = (111 x 2) / 3 =74
Most Upvoted Answer
In Mathematics exam, a student scored 30% marks in the first paper, ou...
Firstly, marks he scored in first paper out of 180 will be
180 x 30÷100 = 54 marks
So he scored 54 marks out of 180 in the first paper.
Now total marks of the examination is 330 i.e 150+180.
50% of 330 is 165.
So in second paper he has to score 165–54=111 marks to get 50% marks over all.
Now the ans is asked in terms of percent so,
111÷150 x 100 = 74%
So he has to get 74 % in the second paper to get a overall percent of 50%.
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Community Answer
In Mathematics exam, a student scored 30% marks in the first paper, ou...
Given:
First paper marks = 30% of 180 = 54
Total marks required for an overall average of at least 50% = (180 + 150) * 50% = 165
To find:
Marks required in the second paper
Solution:
Let x be the marks required in the second paper.
Step 1: Find the total marks obtained by the student in both papers
Total marks obtained = 54 + x
Step 2: Find the percentage of marks obtained by the student out of the total marks
Percentage marks obtained = (Total marks obtained / Total marks) * 100
Step 3: Set up an equation for the given condition of an overall average of at least 50%
(Percentage marks obtained / 2) >= 50%
Step 4: Substitute the values and simplify
((54 + x) / (180 + 150)) * 100 >= 50%
(54 + x) / 330 >= 0.5
54 + x >= 165
x >= 111
Step 5: Round off the answer to the nearest integer
x = 74%
Therefore, the student should score at least 74% marks in the second paper to get an overall average of at least 50%.
First paper marks = 30% of 180 = 54
Total marks required for an overall average of at least 50% = (180 + 150) * 50% = 165
To find:
Marks required in the second paper
Solution:
Let x be the marks required in the second paper.
Step 1: Find the total marks obtained by the student in both papers
Total marks obtained = 54 + x
Step 2: Find the percentage of marks obtained by the student out of the total marks
Percentage marks obtained = (Total marks obtained / Total marks) * 100
Step 3: Set up an equation for the given condition of an overall average of at least 50%
(Percentage marks obtained / 2) >= 50%
Step 4: Substitute the values and simplify
((54 + x) / (180 + 150)) * 100 >= 50%
(54 + x) / 330 >= 0.5
54 + x >= 165
x >= 111
Step 5: Round off the answer to the nearest integer
x = 74%
Therefore, the student should score at least 74% marks in the second paper to get an overall average of at least 50%.
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In Mathematics exam, a student scored 30% marks in the first paper, out of the total of 180. How much should he score in second paper out of a total of 150, if he is to get an overall average of at least 50%a)74%b)76%c)70%d)80%Correct answer is option 'A'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about In Mathematics exam, a student scored 30% marks in the first paper, out of the total of 180. How much should he score in second paper out of a total of 150, if he is to get an overall average of at least 50%a)74%b)76%c)70%d)80%Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In Mathematics exam, a student scored 30% marks in the first paper, out of the total of 180. How much should he score in second paper out of a total of 150, if he is to get an overall average of at least 50%a)74%b)76%c)70%d)80%Correct answer is option 'A'. Can you explain this answer?.
In Mathematics exam, a student scored 30% marks in the first paper, out of the total of 180. How much should he score in second paper out of a total of 150, if he is to get an overall average of at least 50%a)74%b)76%c)70%d)80%Correct answer is option 'A'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about In Mathematics exam, a student scored 30% marks in the first paper, out of the total of 180. How much should he score in second paper out of a total of 150, if he is to get an overall average of at least 50%a)74%b)76%c)70%d)80%Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In Mathematics exam, a student scored 30% marks in the first paper, out of the total of 180. How much should he score in second paper out of a total of 150, if he is to get an overall average of at least 50%a)74%b)76%c)70%d)80%Correct answer is option 'A'. Can you explain this answer?.
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