The question below is followed by two statements numbered I and II. Choose the option that describes whether the statements are sufficient to answer the question.
In a certain year, on which day of the week did 1 May fall?
I. In that year, 1 April fell on a Friday.
II. In that year, 25 December fell on a Sunday.
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → The question can be answered by using either statement alone.
The weekday moves forward by the remainder when the number of days between two dates is divided by 7. February is not between these dates, so a leap year makes no difference.
Statement I alone:
April has 30 days, so 1 May is 30 days after 1 April
\(30=4\times7+2\): Friday \(+2\) days \(=\) Sunday: sufficient
Statement II alone:
Days from 1 May to 1 December \(=31+30+31+31+30+31+30=214\) (May to November)
Days from 1 May to 25 December \(=214+24=238\)
\(238=34\times7\), remainder 0, so 1 May falls on the same day as 25 December: Sunday: sufficient