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Question
What is the time 100 hours after 7 a.m.?
Sum
Solution
100 ≡ x (mod 12) ...(∵ 7 comes in every 12 hrs)
100 ≡ 4 (mod 12) ...(∵ Least value of x is 4)
∴ The time 100 hrs after 7 O’ clock is 7 + 4 = 11 O’ clock i.e. 11 a.m
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Modular Arithmetic
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