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In a group of 1300 students every studen...

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

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, we can follow these calculations: 1. **Identify the total number of students and subjects each student reads:** - Total number of students = 1300 - Each student reads = 5 subjects 2. **Calculate the total number of subject readings:** - Total subject readings = Total students × Subjects per student - Total subject readings = 1300 × 5 = 6500 3. **Identify how many students read each subject:** - Each subject is read by = 65 students 4. **Calculate the total number of subjects:** - Total number of subjects = Total subject readings ÷ Students per subject - Total number of subjects = 6500 ÷ 65 = 100 5. **Final answer:** - The number of subjects is 100.
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