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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.

Workspace

How many degrees will the minute hand move, in the same time in which the second hand move 4800 ?

A.

80 deg

B.

160 deg

C.

140 deg

D.

135 deg

Answer with explanation

Answer: Option AExplanation

As minute hand covers, 60 degrees

Minute hand covers 4800/60 = 80°

Workspace

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

A.

20

B.

21times

C.

22times

D.

24times

Answer with explanation

Answer: Option CExplanation

Every hour the hour hand and minute hand coincide once.

=> Every 12 hours hands should coincide 12 times

But in 11 to 1 the clock hands coincide once only at 12

Hence, in every 12 hours hands coincide 11 times.

Therefore, In 24 hours clock hands coincide 11 x 2 = 22 times.

Workspace

Calculate the angle between the two hands of the clock when the clock shows 5: 25 p.m.?

A.

12 degree

B.

15 degree

C.

12.5 degree

D.

None of these

Answer with explanation

Answer: Option CExplanation

Since at 5: 25 the minute hand will be at 5 and the angle between them will be the same as the distance covered in degree by the hour hand in 25 minutes

Required angle = Distance of hour hand = Speed x Time = 1/2 x 25 =12.5 degrees.

Workspace

Find at what time between 8 and 9 o’clock will the hands of a clock be in 180°.

A.

110/11 min

B.

200/11 min

C.

120/11 min

D.

100/11 min

Answer with explanation

Answer: Option DExplanation

At 8 o’clock, the hour is at 8 and the minute’s hand is at 12, i.e., the two hands are 20 min. spaces apart.

So, the minute hand gain = (30 – 20) minutes = 10 minutes

55 minutes will be gained in 60 min.

10 minutes spaces will be gained in ((60/55) x 10) min. = 100/11 min.

The hands will be in the same straight line but not together at 100/11 min. past 8.

Workspace

A faulty clock loss 24 minutes in a day, and it is set right at 5 AM. What is the correct time when the clock is at 2 PM on the 3rd day?

A.

03:23 PM

B.

03:21 PM

C.

03:20 PM

D.

03:22 PM

Answer with explanation

Answer: Option BExplanation

Time from 5 AM on a day to 2 PM on 3rd day = 81 hours

In 24 hours, a clock losses 24 minutes

In 81 hours, a clock losses 81 minutes

At 2 PM, the correct time is 03:21 PM

Workspace

Calculate the time between 6 and 7 o’clock when the hands of a clock are in the same straight line but are not together?

A.

65.45 min past 6

B.

60 minutes past 6

C.

50 minutes past 6

D.

Cannot be determined

Answer with explanation

Answer: Option AExplanation

You can use a short formula to calculate the time when the angle is given

Angle = (minutes) -30 (hours)

Using the above formula, we get

180 = (minutes) -30 (hours)

180 = (minutes) – 30 (6)

180 + 180 = minutes

Minutes = 2 x 360/ 11

= 65.45

Workspace

clock loses 5 minutes every hour and was set right at 11AM on a Monday. When will it show the correct time again?

A.

11AM on Sunday

B.

11AM on Monday

C.

11AM on Tuesday

D.

11AM on Wednesday

Answer with explanation

Answer: Option AExplanation

As mentioned in Key Point O, faulty clock will show correct time when it loses or gains 12 Hours.

In the given problem, clock loses 5 Minutes in an hour. So, 1 Minute lost in every 12 minutes (60 minutes / 5 minutes = 12 minutes).

Now, for losing 12 hours i.e. 720 Minutes(12 X 60 = 720) it will take 720 X 12 = 8640 Minutes = 144 Hours = 6 Days.

So, Clock will show correct time after 6 days from 11AM Monday.

Thus, Answer is 11AM on Sunday.

Workspace

My watch, which gains uniformly, is 2 min and show at noon on Sunday, and is 4 min 48 seconds fast at 2PM on the following Sunday when was it correct?

A.

Wednesday noon

B.

Sunday 2PM

C.

Monday noon

D.

Tuesday 2PM

Answer with explanation

Answer: Option DExplanation

At noon on Sunday watch gains 2 Minutes.

And at 2PM on following Sunday it is 4 Minutes 48 Seconds fast.

So, it gains 6 Minutes 48 Seconds i.e. 2 Minutes + 4 Minutes 48 Seconds (total 408 Seconds) in 170 Hours (Hours from Sunday Noon (12PM) to following Sunday 2PM)

Therefore, watch gains 120 Seconds (2 Minutes) in 170*120/408 = 50 Hours

50 Hours = 2 Days 2 Hours

Thus, Watch was correct after 2 days 2 hours from Sunday noon that is Tuesday 2PM.

Workspace

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

A.

22

B.

44

C.

24

D.

48

Answer with explanation

Answer: Option BExplanation

Key points – F. It has not been mentioned coincide or opposite of each other. So, we have to consider common scenario where the hands are in straight line that is either opposite or coincide of each other.

Workspace

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

A.

20

B.

22

C.

24

D.

48

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.

Workspace

A watch gain 8 seconds in 4 minutes and was set right at 4 AM. What time will it show at 11 PM on the same day?

A.

11:08

B.

12:38

C.

11:38

D.

12:08

Answer with explanation

Answer: Option CExplanation

8 Seconds in 4 Minutes mean 120 Seconds (or 2 Minutes) in one hour.

From 4AM to 11PM (on the same day) = 19 hours

So, total seconds gain in 19 hours = 19 X 120 (Seconds gain per hour) = 2280 Seconds.

Now, 2280 Seconds = 38 Minutes (i.e. 2280/19 = 38)

Thus incorrect clock will show 11:38PM at 11PM.

Workspace

What is the angle between the hands of the clock at 3:40?

A.

240°

B.

110°

C.

130°

D.

190°

Answer with explanation

Answer: Option CExplanation

At 3 o’ clock, the hour hand is at 90 degrees from the vertical.

In 40 minutes,

Hour hand = 90 + 40*(0.5) = 90 + 20 = 110 (The hour hand moves at 0.5 dpm)

Minute hand = 40*(6) = 240 (The minute hand moves at 6 dpm)

Difference or angle between the hands = 240 – 110 = 130 degrees.

Workspace

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