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Aptitude - Clock Online Quiz

Following quiz provides Multiple Choice Questions (MCQs) related to Clock. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.

Q 1 - Find the angle between the hour hand and the minute hand of a clock when the time is 3.25.

Answer : C

Explanation

Angle traced by the hour hand in 12 hours = 360°
Angle traced by it 3 hr 25 minutes i.e 41/12 hrs
= 360°/12 * 41/12 = 105°/2
Similarly, angle traced by min hand in 60 mins = 360°
Angle traced by it in 25 mins = 3600/60 * 25 = 150°

∴ Angle between hour hand and minute hand
= 150° ? 105°/2
= 95°/2

Q 2 - Find the time between 8 and 9 o' clock will the hands of a clock be in the same straight line but not together.

A - 120/11 min to 9

B - 120/11 min past 8

C - 11 min past 8

D - None of these

Answer : B

Explanation

At 8 o? clock, the two hands are 20 min spaces apart.
To be in the same straight line but not together,
they will be 30 min spaces apart.
So, the minute hand will have to gain (30-20)
= 10 minute spaces over the hour hand.

= 60/55 * 10 = 120/11

∴The hands will be in the same straight line
but not together at 120 min past 8.

Q 3 - The minute hand of a clock overtakes the hour hand at interval of 65 minutes of the correct time. How much a day does the clock gain or lose?

A - 10.20 minutes in 24 hours

B - 10.25 minutes in 24 hours

C - 10.23 minutes in 24 hours

D - None of these

Answer : C

Explanation

In a correct clock, the minute hand gains 55 min spaces
over the hour hand in 60 minutes.
To be together again, the minute hand must gain 60 minutes over the hour hand.

55 min are gained in 60 min
60 min are gained in (60/55)*60 = 720/11

But they are together after 65 min.
∴Gain in 65 min = (720/11 ? 65) = 5/11

Gain in 24 hours = [5/11 * (60*24)/65] min
= 440/43 min
= 10.23 minutes.

∴The clock gains 10.23 minutes in 24 hours.

Q 4 - Find the angle between the two hands of a clock at 5:30 PM.

Answer : A

Explanation

At 5:30 PM, the minute hand is at 6 and hour hand is past 5 but behind 6.
In 60 minutes, the hour hand moves ahead by 30°.
∴ In 30 minutes, hour hour hand moves ahead by
= 30*(30/60)°
= 15°

Angle between 5 and 6 hour spaces = 30°.
Hence, angle between the two hands at 5:30 PM = (30 - 15) = 15°.

Q 5 - At 3.40, the hour hand and the moment hand of a clock from a point of

Answer : C

Explanation

Angle followed by hour hand in 12 hours= 360°
Point followed by hour it in 11/3 hrs. =(360/12*11/3)= 110°
Point followed by moment hand in 60 min. =360°
Point followed by it in 40 min. =(360/60*40) = 240°
∴ Required Angle = (240-110)= 130°

Q 6 - The edge between the moment hand and the hour hand of a clock when the time is 4.20, is:

Answer : B

Explanation

Angle followed by hour hand in 13/3 hrs. =(360/12*13/3)°= 130°
Point followed by min. hand in 20 min. = (360/60*20)°= 120°
∴ Required point = (130-120)°= 10°

Q 7 - How commonly in a day, the clock's hands are straight?

Answer : C

Explanation

In 12 hours, the hands concur or are in inverse heading 22 times.
∴ In 24 hours, the hands concur or are
in inverse heading 44 Times each day.

Q 8 - How commonly are the hands of a check at right edge in a day?

Answer : C

Explanation

In 12 hours, they are at right point 22 times.
∴ In 24 hours , they are at right point 44 times.

Q 9 - At what time, in moment, between 3 o'clock and 4 o'clock, both are unnecessary will match one another?

Answer : D

Explanation

At 3 o'clock ,the moment hand is 15 min. spaces a section
Structure the hour hand. To be coincident,
it must pick up 15 min. spaces.
55 min. are picked up in 60 min.
15 min. are picked up in (60/55*15)min.=180/11 min.
∴ The hands are correspondent at 180/11 min. past 3.

Q 10 - At what time somewhere around 4 and 5 o'clock will the hand of a watch point In inverse headings?

A - 45 min. past 4

B - 40 min. past 4

C - 554/11 min. past

D - 100/11 min. past 4

Answer : D

Explanation

At 4 o' clock, the watch's hands are 20 min. space Separated.
To be in inverse directions, they must be 30 min. space Separated.
∴ Minute hand will need to pick up 50 min. space.
55 min. space are picked up in 60 min.
50 min. space are picked up in (60/11*50) min. on the other hand 100/11 min.
∴ Required time=100/11 min. past 4.

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