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Q:

# At what time between 2 and 3 o'clock will the hands of a clock be together?

 A) (9 + 10/11) min past 2 B) (10 + 10/11) min past 2 C) (11 + 10/11) min past 2 D) (12 + 10/11) min past 2

Answer:   B) (10 + 10/11) min past 2

Explanation:

At 2 o'clock, the hour hand is at 2 and the minute hand is at 12, i.e. they are 10 min spaces apart.

To be together, the minute hand must gain 10 minutes over the hour hand.

Now, 55 minutes are gained by it in 60 min.

$\inline \fn_jvn \therefore$ 10 minutes will be gained in $6055×10$ min. = $101011$ min.

The hands will coincide at $101011$ min. past 2.

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