23
Q:

# The angle between the minute hand and the hour hand of a clock when the time is 4.15 is

 A) 0 B) 37.5 C) 27 D) 15

Explanation:

Angle between hands of a clock

When the minute hand is behind the hour hand, the angle between the two hands at M minutes past H 'o clock

=> $30H-M5+M2$ degrees

Here H = 4, M = 15 and the minute hand is behind the hour hand.

Hence the angle

= 30[4-(15/5)]+15/2 = 30(1)+7.5 = 37.5 degrees

Q:

What will be the measure of the acute angle formed between the hour hand and the minute hand at 6:43 a.m.?

 A) 21.5 deg B) 78 deg C) 56 deg D) 56.5 deg

Explanation:

4 589
Q:

A watch gains 5 seconds per minute and was set right at 6 A.M. What would be the time shown on the watch when the correct time is 2 PM?

 A) 2.20 PM B) 2.50 PM C) 2.30 PM D) 2.40 PM

Explanation:

2 677
Q:

What would be the smaller of the two angles formed by the hour hand and the minute hand at 3:47 p.m?

 A) 168.5 deg B) 162 deg C) 166.5 deg D) 165 deg

Explanation:

2 835
Q:

A watch shows 6 p.m. where the hour hand points east. In which direction is the minute hand facing when the time is 9.15 p.m?

 A) West B) South C) East D) North

Explanation:

5 665
Q:

What fraction of 2 hours is 12 seconds?

 A) 1/200 B) 1/300 C) 1/400 D) 1/600

Explanation:

2 668
Q:

Three clocks are designed to alarm in every hour, two hours and three hours respectively. If they all alrmed together three hours before, then after how many hours will they next alarm together?

 A) 3 hours B) 6 hours C) 2 hours D) 1 hour

Explanation:

2 630
Q:

In a week, how many times are the hands of a clock at right angles with each other?

 A) 308 B) 44 C) 24 D) 154

Explanation:

3 573
Q:

What will be the acute angle between the hour-hand and the minute -hand at 2:13 p.m?

 A) 16.5 deg B) 18 deg C) 13.5 deg D) 11.5 deg