Question

If $5\text{January}1991$ was a Saturday, what day of the week was $3\text{March}1992$ ?

• A. Saturday
• B. Sunday
• C. Monday
• D. Tuesday

Answer 1

The correct option is D Tuesday

Analysis:
$1991$ is an ordinary year, and hence it has only one odd day. Thus, $5\text{January}1992$ was one day after Saturday, i.e., Sunday.
Now, in January $1992$, there are $26$ days remaining $(31-5=26)$, i.e., $5$ odd days $(26÷7=3\text{weeks and 5 odd days})$. In February $1992$, there are $29$ days, i.e., $1$ odd day $(29÷7=4\text{weeks and 1 odd day})$.
In March $1992$, there are $3$ odd days (we are calculating odd days only upto $\text{3 March 1992}$).
Therefore, the total numbers of odd days after $5\text{January}1992$ till $3\text{March}1992$ is $5+1+3=9odd$ days, which is equivalent to $2$ odd days$(9÷7=1weekand2odddays)$.
Therefore, $\text{3rd March 1992}$ was $2$ days after Sunday, i.e., Tuesday.