A watch gains $10$ seconds in $3$ minutes. It was set right at $9$ A.M. In the evening of the same day, when the watch indicates half past $6$ ‘o clock, the true time is

An old couple with memory issues had forgotten their anniversary and were trying to recollect the date. The lady clearly remembers that they got married in the month of February of the year $1955$. The man clearly remembers that he celebrated his $21\mathrm{st}$ birthday with same year, and it was Thursday, the $3\mathrm{rd}$ of February, as a bachelor. The lady then remembers that they definitely got married before the $13\mathrm{th}$ of February. The man knows it had to be a weekend, since he was working on other days from Monday to Friday. The lady and the man then agree that it was a Sunday. Help them find the date of their wedding which was in the year $1955$?

The wall clock at Zebo’ s house was not working properly. Zebo noticed on Tuesday noon that clock is two minutes slow. He planned to observe the behaviour of clock for a week. On next week same day, he noticed that clock was $4 \min 48 \sec$ fast at $02:00 \mathrm{P}.\mathrm{M}.$ When did the clock show the correct time?

The mathematical operators i.e. $+, – , \times , ÷, =, <$ had placed at the minute hand position of the clock at clockwise angles of $78°, 162°, 210°, 114°, 240°$ and $312°$ respectively. The operators position had been rotated by $5$ min, $7$ min, $9$ min, $11$ min, $13$ min and $15$ min respectively clockwise and anti-clockwise alternatively. Find the correct combinations of operators in the form of time which satisfy the given equation:

$\left[8 ? 20 ? 5 ? 9 ? 3 ? 38\right]$

If $7^{\mathrm{th}}$ day of the month is $4$ days after Friday, what day will it be on the thirty-first day of the month?