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Clock Questions

Home > Quantitative Aptitude > Clock > General Questions
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A clock is set right at 5am the clock loses 16min in 24 hours. What will be the right time when the clock indicates 10am? On the 4th day?


A10.30pm

B10.45pm

C11.15pm

D11pm

Answer: Option D

Explanation:

Total Time from 5 am. On a day to 10pm. on 4th day = 89 hours.
=> 23 hrs 44 min. of this clock = 24 hours of correct clock
=> 365/15 hrs of this clock = 24 hours of correct clock
=> 1 hrs of this clock = (24 * 15/356) hrs. of correct clock.
so, 89 hrs of this clock = ( 24 * 15/356 * 89) hrs of correct clock = 90 hrs of correct clock.
So, correct time is 11pm.

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An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?


A144º

B150º

C168º

D180º

Answer: Option D

Explanation:

Angle traced by the hour hand in 6 hours = (360/12 * 6)º = 180º.

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If a clock shows 4'O clock in the noon. Through how many degrees will the hour hand rotate when the clock shows 12'O clock in the night?


A150º

B170º

C240º

D130º

Answer: Option C

Explanation:

4 o'clock noon to 12 o'clock = 8 hrs.

Angle traced by hour hand in 12 hrs. = 360°

so, Angle traced hour hand in 8 hours = (360°/12 * 8) = (120 * 2) = 240°

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How much does a watch lose per day, if its hands coincide every 64 minutes?


A32 8/11 min.

B36 5/11 min.

C90 min.

D96 min.

Answer: Option A

Explanation:

55 min. spaces are covered in 60 min.

60 min. spaces are covered in (60/55 * 60)min. = 65 5/11 min.

Loss in 64 min. = (65 5/11 - 64)= 16/11 min.
Loss in 24 hrs = (16/11 * 1/64 * 24 * 60) min. = 32 8/11 min.

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At what time between 8 and 9'o clock will the hands of a clock be in the same straight line. but not together?


A5 5/11

B10 1/11

C8 1/11

D7 2/11

Answer: Option B

Explanation:

When the hands of the clock are in the same line, but in opposite direction, they are 30 minutes spaces apart.
At 8'o clock they are 20 min. spaces apart
minute hand will have to gain only 10 min.spaces
10 min.spaces are gained in [(60/55) * 10] = 120/11 = 10 1/11 past 8.

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The reflex angle between the hands of a clock at 10.25 is:


A180º

B192 1/2º

C195º

D197 1/2º

Answer: Option D

Explanation:

Angle traced by hour hand in 12 hrs. = 360°
Angle traced by hour hand in 125 hrs = (360/12 * 125/12)º = 312 1/2º
Angle traced by minute hand in 25 min = (360/60 * 25)º = 150º.

Reflex angle = [360º -(312 1/2 - 150)º = (360º - 162 1/2º = 197 1/2º

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How many times in a day, the hands of a clock are straight?


A22

B24

C44

D48

Answer: Option C

Explanation:

In 12 hours, the hands coincide or are in opposite direction 22 times.

In 24 hours, the hands coincide or are in opposite direction 44 times a day

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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?


A2 p.m. on Tuesday

B2 p.m. on Wednesday

C3 p.m. on Thursday

D1 p.m. on Friday

Answer: Option B

Explanation:

Time from 12 p.m. on Monday to 2 p.m. on the following Monday = 7 days 2 hours = 170 hours.

so, the watch gains (2 + 4 4/5) min. or 34/5 min. in 170 hrs.

Now, 34/5 min. are gained in 170 hrs.

so, 2 min. are gained in (170 * 5/34 * 2) hrs = 50 hrs.

=> Watch is correct 2 days 2 hrs. after 12 p.m. on Monday.
it will be correct at 2 p.m. on Wednesday.

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How many times do the hands of a clock coincide in 24 hrs?


A20

B21

C22

D24

Answer: Option C

Explanation:

 



The hands of a clock coincide 11 times in every 12 hours (Since between 11 and 1, they coincide only once, i.e., at 12 o'clock).



AM



12:00 ,1:05, 2:11, 3:16 ,4:22, 5:27 ,6:33, 7:38 ,8:44, 9:49 ,10:55



PM



12:00 ,1:05, 2:11, 3:16 ,4:22, 5:27 ,6:33, 7:38 ,8:44, 9:49 ,10:55



Therefore 22 times its possible.

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The angle between the minute hand and the hour hand of a clock when the time is 8.30, is:


A80º

B75º

C60º

D105º

Answer: Option B

Explanation:

Angle traced by hour hand in 17/2 hrs = (360/12 * 17/2)º = 255.

Angle traced by min. hand in 30 min. = (360/60 * 30)º = 180.

So, Required angle = (255 - 180)º = 75º.

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