Exercise: Clock

Questions for: Clock

At what time between 4 and 5 o'clock will the hands of a watch point in opposite directions?
A:
45 min. past 4
B:
40 min. past 4
C:
50 4 min. past 4
11
D:
54 6 min. past 4
11
Answer: D

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

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How many times in a day, are the hands of a clock in straight line but opposite in direction?
A:
20
B:
22
C:
24
D:
48
Answer: B

The hands of a clock point in opposite directions (in the same straight line) 11 times in every 12 hours. (Because between 5 and 7 they point in opposite directions at 6 o'clock only).

So, in a day, the hands point in the opposite directions 22 times.

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The angle between the minute hand and the hour hand of a clock when the time is 8.30, is:
A:
80°
B:
75°
C:
60°
D:
105°
Answer: B

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°.

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How many times are the hands of a clock at right angle in a day?
A:
22
B:
24
C:
44
D:
48
Answer: C

In 12 hours, they are at right angles 22 times.

In 24 hours, they are at right angles 44 times.

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At 3:40, the hour hand and the minute hand of a clock form an angle of:
A:
120°
B:
125°
C:
130°
D:
135°
Answer: C

Angle traced by hour hand in 12 hrs. = 360°.

Angle traced by it in 11 hrs = 360 x 11 ° = 110°.
3 12 3

Angle traced by minute hand in 60 min. = 360°.

Angle traced by it in 40 min. = 360 x 40 ° = 240°.
60

Required angle (240 - 110)° = 130°.

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