Question

There are exactly twelve Sundays in the period from January $1$ to March $31$ in a certain year. Then the day corresponding to February $15$ in that year is?

• A. Tuesday
• B. Wednesday
• C. Thursday
• D. Not possible to determine from the given data

Answer 1

The correct option is C Thursday

Total number of days from $1$ jan to $31$ feb $=31+28+31=90$

Dividing number of days with $7$, we get

$\Rightarrow \frac{90}{7}=12\frac{6}{7}$

Total number of sundays are $12$

$\therefore 1st$ jan must be monday.

$15$ feb is $46th$ day of the year,

number of weeks $\Rightarrow (\frac{46}{7}=6\frac{4}{7})$

Thus, 46th day is thursday (or $4$th day of the week).