Explanation:

Explanation:

Time from 6am on Monday to 6pm on following Monday = 7 days and 12 hours, i.e. 24*7 + 12 = 180 hours

So, the watch gains  minutes in 180 hours

Now,  minutes are gained in 180 hours

∴ 5 minutes will be gained in  hours or 83 hours 20 minutes.

83 hour 20 minutes = 3 days (72 hours) 11 hours 20 minutes

Therefore, the watch was correct 3 days 11 hours 20 minutes after 6am on Monday, i.e. it was correct at 20 minutes past 5pm on Thursday.

Explanation:

As we know, the hands of a clock will be at 90° between H: 30 and (H+1) O’clock at (5H + 15)  minutes past H O’ clock.

∴ Required time = (5H + 15) 

Now, H = 4

= (5*4 + 15) 
= 20 + 15 * 

Explanation:

Explanation:

Time from 4am on a day to 9pm on the 4^th day = 89 hours

As per the question, 23 hrs 44 minutes of this clock = 24 hours of the correct clock as this clock loses 16 minutes in 24 hours.

23 hrs 44 minutes =

Now,  Hrs of this clock = 24 hours of correct clock

89 hours of this clock =  * 89 = 90 hours of the correct clock, i.e. the correct clock gains one hour over the incorrect clock.

∴The correct time on the fourth day would be 10pm.

Explanation:

To be together between 9 and 10 o'clock, the minute hand has to gain 45 min. spaces.

55 min. spaces gained in 60 min.

45 min. spaces are gained in		60	x 45	min or 49	1	min.
		55			11

The hands are together at 49	1	min. past 9.
	11

Explanation:

Angle traced by hour hand in	17	hrs =		360	x	17		°	= 255°.
	2			12		2

Angle traced by min. hand in 30 min. =		360	x 30		°	= 180°.
		60

 Required angle = (255 - 180)° = 75°.

Explanation:

Angle traced by the hour hand in 12 hours = 360°

Angle traced by the hour hand in 3 hours 30 minutes =

Angle traced by minute hand in 60 minutes = 360°

Angel traced by minute hand in 30 minutes = 

∴ Required angle would be = (180 – 105)° = 75°

At 4 o'clock, the hands of the watch are 20 min. spaces apart.

To be in opposite directions, they must be 30 min. spaces apart.

 Minute hand will have to gain 50 min. spaces.

55 min. spaces are gained in 60 min.

50 min. spaces are gained in		60	x 50	min. or 54	6	min.
		55			11

Required time = 54	6	min. past 4.
	11

Explanation:

Angle traced by the hour hand in 6 hours =		360	x 6		°	= 180°.
		12

Explanation:

At 3 o'clock, the minute hand is 15 min. spaces apart from the hour hand.

To be coincident, it must gain 15 min. spaces.

55 min. are gained in 60 min.

15 min. are gained in		60	x 15	min	=	16	4	min.
		55					11

The hands are coincident at 16	4	min. past 3.
	11