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Modulo Arithmetic & Congruence · Question 77 of 97

On which day of the week will Republic Day 2028 fall?

Question 77

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 will Republic Day 2028 fall?

Options for question 77

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. 26 January 2027 to 26 January 2028 is 365 days: 29 February 2028 comes later.

  2. 365=7×52+1365 = 7 \times 52 + 1: one day on, Wednesday.

Worth noting

A two-day shift would need 29 February to fall between the two dates; it comes after 26 January 2028.

Concept
Calendars and congruence
Typical time
120 s
Your time
—
The rule this testsSolving with congruences
Practise this chapter →

Ten questions from Modulo Arithmetic & Congruence, at your own pace.

Practise this chapter →

Ten questions from Modulo Arithmetic & Congruence, at your own pace.