# A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 o'clock, the true time is:

A. $$59\frac{7}{{12}}$$ min. past 3

B. 4 p.m.

C. $$58\frac{7}{{11}}$$ min. past 3

D. $$2\frac{3}{{11}}$$ min. past 4

**Answer: Option B **

__Solution(By Examveda Team)__

Time from 7 a.m. to 4:15 p.m. = 9 hrs 15 min. = $$\frac{{37}}{4}$$ hrs3 min. 5 sec. of this c;ocl = 3 min. of the correct clock

⇒ $$\frac{{37}}{{720}}$$ hrs. of this clock = $$\frac{1}{{20}}$$ hrs of the correct clock

⇒ $$\frac{{37}}{4}$$ hrs. of this clock = $$\left( {\frac{1}{{20}} \times \frac{{720}}{{37}} \times \frac{{37}}{4}} \right)$$ hrs. of the correct clock

= 9 hrs. of the correct clock

∴ The correct time is 9 hrs. after 7 a.m. i.e., 4 p.m.

## Join The Discussion

## Comments ( 2 )

Related Questions on Clock

**The reflex angle between the hands of a clock at 10.25 is:
**

A. 180º

B. $${\text{192}}{\frac{1}{2}^ \circ }$$

C. 195º

D. $${\text{197}}{\frac{1}{2}^ \circ }$$

**A clock is started at noon. By 10 minutes past 5, the hour hand has turned through:
**

A. 145º

B. 150º

C. 155º

D. 160º

A. $$59\frac{7}{{12}}$$ min. past 3

B. 4 p.m.

C. $$58\frac{7}{{11}}$$ min. past 3

D. $$2\frac{3}{{11}}$$ min. past 4

Answer must be option A.

15 minutes + 25 seconds gain

that's why answer should be 3:59:35.

no this is not actual.the answer will be: a as there is 5/12 mints are neglected.