6. Suppose a teacher has a class of 30 students. One day, he forgets to take roll but notices that there were an even number of students when they lined up two by two. Later when he split them into groups of 5, he found that one group was left with only 3 students. Then when he split them into groups of 3, there was one student left out. How many of the 30 students were present that day?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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6. Suppose a teacher has a class of 30 students. One day, he forgets to take roll but
notices that there were an even number of students when they lined up two by two.
Later when he split them into groups of 5, he found that one group was left with only
3 students. Then when he split them into groups of 3, there was one student left out.
How many of the 30 students were present that day?
Transcribed Image Text:6. Suppose a teacher has a class of 30 students. One day, he forgets to take roll but notices that there were an even number of students when they lined up two by two. Later when he split them into groups of 5, he found that one group was left with only 3 students. Then when he split them into groups of 3, there was one student left out. How many of the 30 students were present that day?
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