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Question
Today is Tuesday. My uncle will come after 45 days. In which day my uncle will be coming?
Sum
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Solution
No. of days in a week = 7 days.
45 ≡ x (mod 7)
45 – x = 7n
45 – x is a multiple of 7.
∴ Value of x must be 3.
∴ Three days after Tuesday is Friday. Uncle will come on Friday.
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Modular Arithmetic
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