Paper 1 · Mathematical Reasoning and Aptitude
The year next to 1991 that will have the same calendar as 1991 is
A1992
B1995
C1996
D1997 ✓ Correct
Correct answer: (D) 1997 — The year with the same calendar as 1991 is 1997, so that is the answer.
Explanation
★The year with the same calendar as 1991 is 1997, so that is the answer.
★A calendar repeats when the total of the odd days of the years in between becomes a multiple of 7.
★Counting the odd days from 1991 onward, ordinary years give one and leap years give two.
★The odd days accumulate through 1996, and by the start of 1997 they complete a full cycle of 7.
★So the year 1997 begins on the same day and has the same calendar as 1991.
★So the answer is 1997.
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