clock aptitude questions

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6. At what time between 7 and 8 o’clock will the hands of a clock be in the same straight line but, not together?
A. 5 min. past 7 B.
5 2 min. past 7
11
C.
5 3 min. past 7
11
D.
5 5 min. past 7
11

Answer: Option D

Explanation:

 

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 25 min. spaces apart.

Minute hand will have to gain only 5 min. spaces.

55 min. spaces are gained in 60 min.

 

5 min. spaces are gained in 60 x 5 min = 5 5 min.
55 11

 

Required time = 5 5 min. past 7.
11
7. At what time between 5.30 and 6 will the hands of a clock be at right angles?
A.
43 5 min. past 5
11
B.
43 7 min. past 5
11
C. 40 min. past 5 D. 45 min. past 5

Answer: Option B

Explanation:

 

At 5 o’clock, the hands are 25 min. spaces apart.

To be at right angles and that too between 5.30 and 6, the minute hand has to gain (25 + 15) = 40 min. spaces.

55 min. spaces are gained in 60 min.

 

40 min. spaces are gained in 60 x 40 min = 43 7 min.
55 11

 

Required time = 43 7 min. past 5.
11
8. The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:
A. 0º B. 10º
C. 5º D. 20º

Answer: Option B

Explanation:

 

 

Angle traced by hour hand in 13 hrs = 360 x 13 º = 130º.
3 12 3

 

Angle traced by min. hand in 20 min. = 360 x 20 º = 120º.
60

Required angle = (130 – 120)º = 10º.
9. At what angle the hands of a clock are inclined at 15 minutes past 5?
A.
58 1 º
2
B. 64º
C.
67 1 º
2
D.
72 1 º
2
10. At 3.40, the hour hand and the minute hand of a clock form an angle of:
A. 120º B. 125º
C. 130º D. 135º

Answer: Option C

Explanation:

 

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

 

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

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

 

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

Required angle (240 – 110)º = 130º.
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