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# Clock Questions

Home > Quantitative Aptitude > Clock > General Questions
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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

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

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

Explanation:

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

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

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

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At what time, in minutes, between 6'o clock and 7'o clock both the needles will coincide each other?

A33 6/11

B31 5/11

C32 8/11

D30

Explanation:

At 6 O'clock the minute hand is 30 min spaces apart from the hour hand
To coincide each other, it must gain 30 min. spaces 55 min are gained in 60 min
30 min are gained in (60/55 *30) = 360/11 = 32(8/11) min space
The hands are together at 32 8/11 min. past 6

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At what time between 9 and 10 o'clock will the hands of a watch be together?

A45 min. past 9

B50 min. past 9

C49 1/11 min. past 9

D48 2/11 min. past 9

Explanation:

To be together between 9 and 10 o'clock, the minute hand has to gain 45 min. spaces.

55 min. spaces gained in 60 min.

45 min. spaces are gained in (60/55 * 45)min or 49 1/11 min.

So, The hands are together at 49 1/11 min. past 9.

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At what time, in minutes, between 3 o'clock and 4 o'clock, both the needles will coincide each other?

A5 1/11

B12 4/11

C13 4/11

D16 4/11

Explanation:

At 3 o'clock, the minute hand is 15 min. spaces apart from the hour hand.

To be coincident, it must gain 15 min. spaces.

55 min. are gained in 60 min.

15 min. are gained in (60 * 15) min = 16 4/11 min.

So, the hands are coincident at 16 4/11 min. past 3.

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The angle between the minute hand and the hour hand of a clock when the time is 6.30 is:

A160º

B120º

C75º

D115º

Explanation:

The angle traced by hour hand in 6.30 hours = 6(30/60) = 6(1/2)
=>(13/2) Ã— (360/12) = 195Â°
The angle traced by minute hand in 45 minutes = (360/60) Ã— 45 = 270Â°
Angle between hour and minute hand = 270Â° - 195Â° = 75Â°

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How many times are the hands of a clock at right angle in a day?

A22

B24

C44

D48

Explanation:

In 12 hours, they are at right angles 22 times.

In 24 hours, they are at right angles 44 times.

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At 3:40, the hour hand and the minute hand of a clock form an angle of:

A120º

B125º

C130º

D135º

Explanation:

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

Angle traced by it in 11/3 hrs = (360/12 * 11/3)Â° = 110Â°.

Angle traced by minute hand in 60 min. = 360Â°.

Angle traced by it in 40 min. = (360/60 * 40)Â° = 240Â°.

So, Required angle (240 - 110)Â° = 130Â°.

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The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:

A

B10º

C

D20º

Explanation:

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

Angle traced by min. hand in 20 min. = (360/60 * 20)Âº = 120Âº.

So, Required angle = (130 - 120)Âº = 10Âº.

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