# 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?

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. 0° B. 10° C. 5° D. 20°

Answer: Option B

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?

A.
 58 1 ° 2
B. 64°
C.
 67 1 ° 2
D.
 72 1 ° 2

Answer: Option C

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:

 A. 120° B. 125° C. 130° D. 135°

Answer: Option C

Explanation:

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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