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Modulo Arithmetic & Congruence · Question 76 of 97

On which day of the week is the annual day?

Question 76

MediumOriginal question

Republic Day, 26 January 2027, falls on a Tuesday. A school holds its annual day on 15 March 2027 and its sports day 100 days after Republic Day. 2027 is not a leap year.

On which day of the week is the annual day?

Options for question 76

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. 48=7×6+648 = 7 \times 6 + 6, so 48 days later is 6 days on in the week.

  2. Six days after Tuesday is Monday.

Worth noting

The day before counts 26 January itself among the 48 days; whole weeks change nothing, only the remainder 6 matters.

Concept
Days of the week
Typical time
120 s
Your time
—
The rule this testsSolving with congruences
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Ten questions from Modulo Arithmetic & Congruence, at your own pace.

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