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In a group of 1300 students, every student reads 5 subjects and every subject is read by 65 students. The number of subjects are:
- a)exactly 100
- b)may be 250
- c)at the most 70
- d)at least 10
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
In a group of 1300 students, every student reads 5 subjects and every ...
1 student reads = 5 subjects
1300 students read = 5 × 1300 = 6500 subjects
1 subject is read by = 65 students
So, total different subjects read = 6500/65 = 100
Most Upvoted Answer
In a group of 1300 students, every student reads 5 subjects and every ...
1 student reads = 5 subjects
1300 students read = 5 × 1300 = 6500 subjects
1 subject is read by = 65 students
So, total different subjects read = 6500/65 = 100
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Community Answer
In a group of 1300 students, every student reads 5 subjects and every ...
Understanding the Problem
In a scenario with 1300 students, each reading 5 subjects, and each subject read by 65 students, we need to determine the number of subjects available.
Data Breakdown
- Total students (S) = 1300
- Subjects read per student (P) = 5
- Students per subject (N) = 65
Total Subject Readings Calculation
To find the total number of subject readings, we multiply the number of students by the number of subjects each student reads:
- Total readings = S × P
- Total readings = 1300 × 5 = 6500
Finding the Number of Subjects
We know that each subject is read by 65 students, so we can express the total readings in terms of the number of subjects (T):
- Total readings = T × N
- 6500 = T × 65
Now, we can solve for T:
- T = 6500 / 65
- T = 100
Conclusion
The calculations indicate that the number of subjects is exactly 100. Thus, the correct answer is option 'A'.
Analysis of Other Options
- May be 250: This is incorrect because it would imply more readings than available.
- At most 70: This contradicts our calculation.
- At least 10: While this is true, it does not represent the exact number.
Therefore, the only viable option based on the calculations is option 'A', which confirms that there are exactly 100 subjects.
In a scenario with 1300 students, each reading 5 subjects, and each subject read by 65 students, we need to determine the number of subjects available.
Data Breakdown
- Total students (S) = 1300
- Subjects read per student (P) = 5
- Students per subject (N) = 65
Total Subject Readings Calculation
To find the total number of subject readings, we multiply the number of students by the number of subjects each student reads:
- Total readings = S × P
- Total readings = 1300 × 5 = 6500
Finding the Number of Subjects
We know that each subject is read by 65 students, so we can express the total readings in terms of the number of subjects (T):
- Total readings = T × N
- 6500 = T × 65
Now, we can solve for T:
- T = 6500 / 65
- T = 100
Conclusion
The calculations indicate that the number of subjects is exactly 100. Thus, the correct answer is option 'A'.
Analysis of Other Options
- May be 250: This is incorrect because it would imply more readings than available.
- At most 70: This contradicts our calculation.
- At least 10: While this is true, it does not represent the exact number.
Therefore, the only viable option based on the calculations is option 'A', which confirms that there are exactly 100 subjects.
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