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## Basic Applications of Modular Arithmetic

Solve integer equations, determine remainders of powers, and much more with the power of Modular Arithmetic.

#### Challenge Quizzes

If the local time in London is 5 hours ahead of the local time in New York, and if you are in New York and you want to call your friend in London at 3 pm London time, what time should it be in New York when you call?

In places that observe Daylight Saving Time, clocks are set forward one hour in the spring and back one hour in the fall.

On the day after the spring DST adjustment, is the official time when the sun rises earlier or later than it would have been without the spring DST adjustment?

If you are in Honolulu and your friend is in Tokyo, and if the local time in Tokyo is 19 hours ahead of the local time in Honolulu, and if you and your friend both wake up at 7 am and go to bed at 11 pm local time, how many hours per day are there when both of you are awake?

If the local time in Tokyo is 19 hours ahead of the local time in Honolulu, and if you take an 8-hour flight from Tokyo to Honolulu that leaves Tokyo at 8 am Tokyo time, what time will it be in Honolulu when you land?

If the local time in London is 5 hours ahead of the local time in New York, and you take a 7-hour flight from New York to London that leaves New York at 8 am New York time, what time will it be in London when you land?

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