197
Q:

# Find the angle between the hour hand and the minute hand of a clock when the time is 3.25

 A) 47.5 degrees B) 57.5 degrees C) 45.5 degrees D) 55.5 degrees

Explanation:

At 3 O'clock, Minute hand is at 12 while the Hour hand is at 3. Again the minute hand has to sweep through ( 30 x 5 ) ie 150° for reaching the figure 5 to show 25 mins.

Simultaneously the Hour hand will also rotate for 25 mins. Thus starting from the mark, 3 the hour hand will cover an angle = (25 x 30) / 60 = 12.5°

Hence, Angle between Hour and the Minute hand = ( 60 - 12.5 ) = 47.5°

Q:

A clock shows 2 am now Find the total rotation of the minute hand, in degrees, of the clock when it will show 9 pm on the same night?

 A) 8600° B) 6840° C) 6470° D) 5930°

Explanation:

26 2324
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:

17 2071
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:

12 2449
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:

8 2237
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:

15 2838
Q:

What fraction of 2 hours is 12 seconds?

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

Explanation:

13 1858
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:

10 1759
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