Question

A watch which gains uniformly is 3 minutes slow at noon on Monday and is 3 minutes 48 seconds fast at 2 p.m. on the following Monday.

At what time will the clock show the correct time?

• A. $2$ p.m. On Tuesday
• B. $2$ p.m. On Wednesday
• C. $3$ p.m. On Thursday
• D. $1$ p.m. On Friday

Answer 1

Answer: (C)

$3$ p.m. On Thursday

Time from $12$ p.m. on Monday to $2$ p.m. on the following Monday $=7$ days $2$ hours $=170$ hours.
So The watch gains $3+3\frac{4}{5}$ min. or $34/5$ minute in $170$ hr.
Now, if $34/5$ min. are gained in 170 hrs.
then $3$ min. are gained in $170\ast \frac{5}{34}\ast 3$ hr $=75$ hr
Watch is correct $3$ days $3$ hrs. after $12$ p.m. on Monday i.e., it will be correct at $3$ p.m. on Thursday.
Thus Option C is correct answer.