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 June fall?
I. In that year, 1 March fell on a Wednesday.
II. In that year, 15 November fell on a Wednesday.
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:
Days from 1 March to 1 June \(=31+30+31=92\) (March, April, May)
\(92=13\times7+1\): Wednesday \(+1\) day \(=\) Thursday: sufficient
Statement II alone:
Days from 1 June to 1 November \(=30+31+31+30+31=153\) (June to October)
Days from 1 June to 15 November \(=153+14=167\)
\(167=23\times7+6\), so 15 November is 6 days ahead of 1 June in the week; 1 June is 6 days before Wednesday, which is the same as 1 day after it: Thursday: sufficient