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

A - 120/11 min past 2

B - 10 min past 2

C - 11 min past 2

D - None of these

### Explanation

```At 2 o' clock, the hour hand is at 2 and minute hand is at 12
i.e. they are 10 min spaces apart.
The minute hand has to gain 10 minute spaces
over the hour hand to be together.

The minute hand gains 55 mins in 60 mins.
∴ It will gain 10 mins in 60/55 * 10 min
= 120/11 minutes.

Hence the hands will coincide at 120/11 minutes past 2.```

Q 2 - At what time between 4 and 5 o' clock will the hands of a clock be at right angle?

A - 320/11 min past 4

B - 420/11 min past 4

C - 120/11 min past 4

D - 220/11 min past 4

### Explanation

```At 4 o' clock, the minute hand is 20 minute spaces behind the hour hand.
Now, when the two hands are at right angles, they are fifteen min spaces
apart. So, they are at right angles in following two cases.

Case I ? When the minute hand is 15 min spaces behind the hour hand.
In this case, min hand will have to gain (20-15) = 5 min spaces.
= (60/55)*5 = 60/11
∴ They are at right angle at 60/11 minutes past 4.
Case II ? When the minute hand is 15 minute spaces ahead of the hour hand.
In this case the minute hand will have to gain (20+15) = 35 min spaces.
= (60/55)*35 = 420/11 min
∴ They are at right angles at 420/11 min
past 4.```

Q 3 - A watch which gains uniformly in 5 min slows at 8 o? clock in the morning on Sunday and it is 5 min 48 sec fast at 8 pm on the following Sunday. When was it correct?

A - 7:20PM on Tue

B - 6:20PM on Wednesday

C - 7:20 PM on Wed

D - None of these

### Explanation

```Time from 8 am on Sunday to 8 pm on following Sunday = 7 days 12 hours
= 180 hours

∴ The watch gains (5 + 29/5) min or 54/5 min in 180 hours.

Now 54/5 minutes are gained in 180 hours.

∴ 5 minutes are gained in [180*(5/54)*5] hour = 83 hr 20 min
= 3 days 11 hours 20 minutes
Watch is correct 3 days 11 hours 20 minutes
after 8 AM of Sunday i.e. 7:20PM on Wednesday.```

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

A - 15°

B - 20°

C - 25°

D - None of these

### 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 - A clock is begun at twelve. By 10 min. past 5, the hour hand has turned through:

A - 145°

B - 150°

C - 155°

D - 160°

### Explanation

```Angle followed by hour hand in 12 hrs =360°
Point followed by hour hand in 5 hrs 10 min.
=31/6 = (360/12*31/6)°= 155°```

Q 6 - The point between the moment hand and the hour hand of a clock At the point when the time is 8.30, is:

A - 80°

B - 75°

C - 60°

D - 105°

### Explanation

```Angle followed by hour hand in 17/2hrs= (360/12*17/2)°= 255°
Point followed by min. hand in 30 min. = (360/60*30)°= 180°
∴ Required Angle = (255-180)°=75°```

Q 7 - How commonly do the hands of a check agree in a day?

A - 20

B - 21

C - 22

D - 24

### Explanation

```The hands of a check match 11 times in at regular intervals.
∴ The hands concur 22 times in a day.```

Q 8 - How much does a watch lose every day, if its hands agree each 64 Min?

A - 360/11 min.

B - 401/11 min.

C - 90 min

D - 96 min.

### Explanation

```55 min. spaces are secured in 60 min.
60 min. spaces are secured in (60/55*60) min. = 720/11 min.
Misfortune in 64 min. = (720/11-64)= 16/11 min.
Misfortune in 24 hrs =(16/11*1/64 *24*60)min.=400/11 min.```

Q 9 - At what time somewhere around 7 and 8 o'clock will the hands of a be in the Same straight line at the same time, not together?

A - 5 min. Past 7

B - 57/11 min. past 7

C - 58/11 min. past 7

D - 60/11 min. past 7

### Explanation

```When the check's hands are in the same straight line however not together.
they are 30 moment spaces separated.
At 7 o' clock, they are 25 min. space separated.
∴ Minute hand will need to increase just 5 min. spaces.
55 min. spaces are picked up in 60 min.
5 min. spaces are picked up in (60/55*5)min=60/11 min.
∴ Required time=60/11 min. past 7.```

Q 10 - A watch picks up 5 sec. in 3 min. was set comfortable am. Toward the evening Of that day, when the watch demonstrated quarter past 4'o clock the Genuine time is:

A - 715/12 min. past 3

B - 4 p.m.

C - 645/11 min. past 3

D - 25/11 min. past 4

### Explanation

```Time structure 7 a.m. to 4.15 p.m.=9 hrs 15 min=37/4 hrs.
3 min. 5 sec. of this clock=3 min of the right clock.
=> 37/720hrs of this clock =1/2 hrs of the right clock
=> 37/4 hrs of this clock =(1/20*720/37*37/4)hrs of right clock
= 9hrs of the right clock
∴ The right time is 9 hrs after 7 a.m. i.e. 4 p.m.```

aptitude_clock.htm