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In: Advanced Math

The students in a Math class decide to divide themselves into groups of equal size to...

The students in a Math class decide to divide themselves into groups of equal size to study multiple congruencesWhen they try groups of 4, 3 are left over; groups of 5, 2 are left; finally they try groups of 7 and discover that if the professor joins in then they can use 7. The professor, reasoning that he never really understood modular arithmetic anyway, thinks it will probably do him some good and agrees to join in. What is the number of students in the class if you are told it is between 150 and 250

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Expert Solution

Dear student,

Below the question is completely solved. This problem is based on finding the intersection of AP's .

Actually this particular problem is easy to solve .I have given a general procedure to find intersection of AP's.


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