Answer: 22

Explanation:
The hands of a clock will be at an angle of 0 degree for 22 times
In a day and at an angle of 180 degree for 22 times a day.

Answer: Yes 

Explanation:
Since the hands of a clock take more time to coincide than the normal
=>65 5/11 minutes the clock is losing time

Answer: 5:10 10/11 pm

Explanation:
Retaining let the time be 5:x pm
=> Angle effectively covered by the hour hand by 5:x p.m.
=> 5:x pm = (150 + x/2)º
=> Angle effectively covered by the minute hand by 5:x pm
=> 6xº
=> (150 + x/2)º – 6xº = 90º
=> x = 120/11 or 480/11
=> the required time is
=> 5: 10 10/11 pm

Answer: 7 hrs 38*2/11 min

Explanation:
At 7 O’clock the M.H is 35 dots behind the H.H
It gains 55 dots in the hour
It will gain 35 dots in 35/55 of an hour
7/11 i.e. 60 × 7 / 11 min
38 2/11 min
Hence the M.H has caught up & will cross the H.H at 7 hrs 38 2/11 min

Answer: (A) or (B)

Explanation:
Let at 3 hrs M min the angle between H.H and M.H is 60̊
Case 1: H.H is before M.H
11/2 × M – 30 × H = 60̊
11/2 × M – 30 × 3 = 60̊
11/2 × M = 90̊ + 60̊
M = 150 × 2/ 11 = 300/11 = 27 3/11
At 3 hrs 27 3/11 min the angle between the hands in 60̊
Case II: M.H. is before H.H
30 × H – 11/2 × M = 60̊
30 × 3 = 11/2 × M =60̊.
M = 30×2 / 11 = 60/11 = 5 5/11 at 3 hrs 5 5/11 min the angle between the hands is 60̊

Answer: 107 minutes

Explanation:
First clock loses 2 minutes per hour, the second clock gains 4 minutes. SO difference in timings of two clocks is 6 minutes per each hour after 6:10 pm. Now from 6:10 pm Saturday to 12:00 noon next day is a period of 1070/60. So required difference in timings of two clocks is 6*1070/60

Answer: 282.5°

Explanation:
Angle traced by the hour hand in 12 hours = 360°
Angle traced by the hour hand in 9 hours 35 minutes = (360 * 115) / (12 * 12) = 287.5°
Angle traced by the minute hand in 60 minutes = 360°
Angle traced by the minute hand in 35 minutes = 210°
Therefore, the angle between the hour hand and the minute hand at 9.35
= (287.5 – 210) = 77.5°
Reflex angle = 360 – 77.5 = 282.5°

Answer: 2 p.m. on Wednesday

Explanation:

Answer: 180 degrees

Explanation:
Angle traced by hour hand in 6 hours = (369/12 * 6) = 180 degrees

Answer: 18 seconds

Explanation:
Time taken for completing single strike = 2 seconds
Time taken to complete its strike at 10 o’clock = 9 x 2 seconds = 18 seconds.