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A watch which gains uniformly is 2 minutes low at noon on Monday and is 4 min. 48 sec fast at 2 p.m. on the following Monday. When was it correct?

A.

2 p.m. on Tuesday

B.

2 p.m. on Wednesday

C.

3 p.m. on Thursday

D.

1 p.m. on Friday

Answer with explanation

Answer: Option BExplanation

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A clock started at noon. By 10 minutes past 5, the hour hand has turned through ?

A.

B.

C.

D.

Answer with explanation

Answer: Option AExplanation

Angle traced by hour hand in 12 hours = 360o.

Angle traced by hour hand in 5 hrs 10 min = 31/6 hrs = (360/12) x (31/6) = 155 Degree

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How many times in a day, are the hands of a clock in straight line but opposite in direction?

A.

20

B.

22

C.

32

D.

40

Answer with explanation

Answer: Option BExplanation

The hands of a clock point in opposite directions (in the same straight line) 11 times in every 12 hours. (Because between 5 and 7 they point in opposite directions at 6 o’clcok only).

So, in a day, the hands point in the opposite directions 22 times.

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The angle between the minute hand and the hour hand of the clock when the time is 4:20 is?

A.

B.

C.

D.

Answer with explanation

Answer: Option DExplanation

Angle traced by hour hand in 13/3 hrs = (360/12) x (13/3) = 130o.

Angle traced by minute in 20 minutes =(360/12) x (20) = 120o.

Required angle is = 130o – 120o = 10 Degree

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A clock was set right at 2 p.m. It gains 5 seconds in 3 minutes, and it indicates 8.30 a.m. the next morning, then the true time is

A.

8.00 a.m.

B.

7.45 a.m.

C.

8.15 a.m.

D.

7.30 a.m.

Answer with explanation

Answer: Option AExplanation

Time elapsed from 2 p.m. to 8.30 a.m. = 18 hours 30 minutes = 1110 minutes.

Now, 3 minutes and 5 seconds of the given clock is 3 minutes of the correct clock.

Therefore, 1110 minutes of this clock is (1110 * 3) / (37/12) minutes of the correct clock.

= 1080 minutes = 18 hours of the correct clock

Hence, the correct time is 8 a.m

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If a clock strike 12 in 33 seconds, time taken to strike 6 at the same rate is

A.

12

B.

15

C.

20

D.

25

Answer with explanation

Answer: Option BExplanation

To strike 12, 11 time intervals are needed.

i.e., for 11 time intervals, 33 seconds are needed

=> for 1 time interval, 33/11 = 3 seconds are needed

i.e., for 11 time intervals, 33 seconds are needed

=> for 1 time interval, 33/11 = 3 seconds are needed

To strike 6, 5 time intervals are needed.

Therefore, required time = 5×3 = 15 seconds

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An accurate clock shows 9 ‘o’ clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 3 ‘o’ clock in the afternoon?

A.

B.

C.

D.

Answer with explanation

Answer: Option DExplanation

Angle traced by the hour hand in 6 hours = (360/12) x 6 = 180 Degree

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A watch which gains uniformly is 5 minutes slow at 6am on Monday and is 5 minutes 48 seconds fast at 6pm on the following Monday. When was it correct?

A.

5:20 pm on Wednesday

B.

5:20 pm on Thursday

C.

4:20 pm on Wednesday

D.

4:20 pm on Thursday

Answer with explanation

Answer: Option BExplanation

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A watch gains 5 seconds in 3 minutes and was set right at 8 AM. If it shows 5:15 in the afternoon on the same day, what is the correct time?

A.

5pm

B.

5.30pm

C.

6pm

D.

5.47pm

Answer with explanation

Answer: Option AExplanation

The watch gains 5 seconds in 3 minutes => 1 minute in 36 minutes

From 8 AM to 5:15, the incorrect watch has moved 9 hours and 15 minutes = 555 minutes.

When the incorrect watch moves for 37 minutes, the correct watch moves for 36 minutes.

=> When the incorrect watch moves for 1 minute, correct watch moves for 36/37 minutes

=> When the incorrect watch moves for 555 minutes, correct watch moves for (36/37)*555 = 36*15 minutes = 9 hours

=> 9 hours from 8 AM is 5 PM.

=> The correct time is 5 PM.

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