Clocks & Time – Section2

Question #1: How many times are the hands of a clock at right angles in a day?
A) 44
B) 22
C) 20
D) 40

Option 'A' : 44
Hint:
In 12 hours, they are at right angles 22 times.
In 24 hours, they are at right angles 44 times.

Question #2: How many times in a day the hands of a clock are straight?
A) 44
B) 40
C) 22
D) 20

Option 'A' : 44

Question #3: At what time between 9 &10 will the hands of a watch be together?
A) 38 1/9 min past 9
B) 41 min past 9
C) 58 3/10 min past 9
D) 49 1/11 min past 9

Option 'D' : 49 1/11 min past 9
Hint:
To be together between 9 and 10 O'clock, the minute hand has to gain 45min. spaces
55min. spaces are gained in 60min.
45min.spaces are gained in (60/55 * 45) min. or 49 1/11 min.
The hands are together at 49 1/11 min. past 9.

Question #4: At what time between 7 & 8 o'clock will the hands of a watch be in the straight line but not together?
A) 5 3/11 min past 7
B) 5 3/11 min past 7
C) 5 5/11 min past 7
D) 43 min past 7

Option 'C' : 5 5/11 min past 7
Hint:
When the hands of the clock are in the same straight line but not together, they are 30 minute spaces apart.
At 7 o'clock, they are 25min. spaces apart.
Minute hand will have to gain only 5 min. space
55 min. spaces are gained in 60min.
5min. spaces are gained in (60/55 * 5) min = 5 5/11 min.
Required time = 5 5/11 min. past 7.

Question #5: How much time does a watch gain or lose per day, if its hands coincide every 64 minutes?
A) Lose 32 8/11 min
B) Gain 32 8/11 min
C) Lose 34 5/11 min
D) Gain 34 5/11 min

Option 'A' : Lose 32 8/11 min
Hint:
55 min. spaces are covered in 60 min.
60 min. spaces are covered in (60/55 * 60) min = 65 5/11min
Loss in 64min = (65 5/11 - 64) = 16/11 min
Loss in 24 hrs= (16/11 * 1/64 * 24 * 60) min = 32 8/11 min.

Question #6: At what angle the hands of a clock are inclined at 15 minutes past 5?
A) 58 1/2 degrees
B) 47 1/2 degrees
C) 72 1/2 degrees
D) 64 degrees

Option 'A' : 58 1/2 degrees
Hint:
Angle traced by hour hand in 21/4 hrs = (360/12 * 21/4) degrees = 157 1/2 degrees
Angle traced by min. hand in 15min. = (360/12 * 15) degrees = 90 degrees.
Required angle = (157 1/2) degrees - 90 degrees = 67 1/2 degrees

Question #7: A clock is set right at 5am the clock loses 16 min in 24 hours. What will be the right time when the clock indicates 10am on the 4th day?
A) 10 pm
B) 11 pm
C) 10:15 pm
D) 10:45 pm

Option 'B' : 11 pm
Hint:
Time from 5am. On a day to 10pm. on 4th day = 89 hours.
Now 23 hrs 44 min. of this clock = 24 hours of correct clock
365/15 hrs of this clock = 24 hours of correct clock
89 hrs of this clock = (24 * 15/356 * 89) hrs of correct clock
= 90 hrs of correct clock.
So, the correct time is 11pm.

Question #8: The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:
A) 20º
B) 30º
C) 40º
D) 10º

Option 'D' : 10º

Question #9: The angle between the minute hand and the hour hand of a clock when the time is 8.30, is:
A) 62º
B) 75º
C) 15º
D) 25º

Option 'B' : 75º

Question #10: At 3:40, the hour hand and the minute hand of a clock form an angle of:
A) 140°
B) 150°
C) 130°
D) 160°

Option 'C' : 130°

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