UPPSC PCS - 2013

The Day On18.9.1977 Was Sunday. A Couple Was Married On This Date. How Many Marriage Anniversaries Would Fall On Sunday On In The Next 15 Years?

Year Asked: 2013

A
1
B
2
C
2
D
9

Correct Answer

B. 2

Detailed Explanation

The correct answer is B. The value 2 is also printed as option C, so the two options carry the same figure.

This is an odd-day problem. A normal year shifts the weekday by 1 day, and a span containing 29 February shifts it by 2. Between 18.9.1977 and 18.9.1978 there is no leap day, so 18.9.1978 is a Monday. Continuing year by year:

  • 1978 Monday, 1979 Tuesday, 1980 Thursday (leap), 1981 Friday, 1982 Saturday
  • 1983 Sunday
  • 1984 Tuesday (leap), 1985 Wednesday, 1986 Thursday, 1987 Friday
  • 1988 Sunday (leap)
  • 1989 Monday, 1990 Tuesday, 1991 Wednesday, 1992 Friday (leap)

So the 15 anniversaries from 1978 to 1992 include exactly two Sundays, in 1983 and 1988. Options A and D fall short or overshoot because the leap-day shifts are skipped or double-counted. This kind of calendar reasoning is a recurring Prelims pattern and is useful for reasoning-based questions.

Trap: adding one day per year and forgetting that a leap day inside the span adds two, which shifts the sequence and gives a wrong Sunday count.

This question appeared in UPPCS 2013 GS Paper 2.

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