# Aptitude - Clock

Exercise : Clock - General Questions
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?
5 min. past 7
 5 2 min. past 7 11
 5 3 min. past 7 11
 5 5 min. past 7 11
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?
 43 5 min. past 5 11
 43 7 min. past 5 11
40 min. past 5
45 min. past 5
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:
10°
20°
Explanation:

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

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

Required angle = (130 - 120)° = 10°.

9.
At what angle the hands of a clock are inclined at 15 minutes past 5?
 58 1 ° 2
64°
 67 1 ° 2
 72 1 ° 2
Explanation:

 Angle traced by hour hand in 21 hrs = 360 x 21 ° = 157 1 ° 4 12 4 2

 Angle traced by min. hand in 15 min. = 360 x 15 ° = 90°. 60

 Required angle = 157 1 ° - 90° = 67 1 ° 2 2

10.
At 3:40, the hour hand and the minute hand of a clock form an angle of:
120°
125°
130°
135°