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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

What was the day of the week on 17th June, 1998?

A.

Monday

B.

Thursday

C.

Wednesday

D.

Tuesday

Answer with explanation

Answer: Option CExplanation

17th June, 1998 = (1997 years + Period from 1.1.1998 to 17.6.1998)

Odd days in 1600 years = 0

Odd days in 300 years = 1

97 years has 24 leap years + 73 ordinary years.

Number of odd days in 97 years ( 24 x 2 + 73) = 121 = 2 odd days.

Jan. Feb. March April May June

(31 + 28 + 31 + 30 + 31 + 17) = 168 days

168 days = 24 weeks = 0 odd day.

Total number of odd days = (0 + 1 + 2 + 0) = 3.

Given day is Wednesday.

Workspace

A boy saw the clock when it is 5 a.m. The clock loses 8 minutes in half a day. What will be the true time when he sees the clock at 10 p.m. on 4th day?

A.

9 pm

B.

10 pm

C.

11 pm

D.

12 pm

Answer with explanation

Answer: Option CExplanation

Time from 5 a.m on a day to 10 p.m.on 4th day = 89 hours.

Now 23 hrs 44 min. of this clock = 24 hours of correct clock.

Therefore 356 / 15 hrs of this clock = 24 hours of correct clock.

89 hrs of this clock = (24 x (15/356) x 89) hrs

= 90 hrs

So, the correct time is 11 p.m.

Workspace

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?

A.

2 pm on Tuesday

B.

2 pm on Wednesday

C.

3 pm on Thrusday

D.

1 pm on Friday

Answer with explanation

Answer: Option BExplanation

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

=170 hours.

The watch gains = (2 + 4 x 4/5) min

= 34/5 min. in 170 hrs.

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

2 min are gained in (170 x 5/34 x 2) hrs.

Watch is correct 2 days 2 hrs after 12 p.m. on Monday, i.e., it will be correct at 2 p.m.on Wednesday.

Workspace

A clock is started at 12 p.m. By 600 seconds past 5 p.m, the hour hand has turned through?

A.

145

B.

150º

C.

155

D.

160

Answer with explanation

Answer: Option CExplanation

The total angle traced by the hour hand is the angle traced in 5 hours and 10 minutes.

We know that the angle traced by the hour hand in one hour is 30º and in one minute is 1/2º.

Therefore, (30º x 5) + (10 x 1/2º) = 155º is the angle traced by the hour hand.

Workspace

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

A.

0

B.

5

C.

10

D.

20

Answer with explanation

Answer: Option CExplanation

Angle traced by hour hand in 13/3 hrs = ((360/12) x (13/3))°

=130°

Angle traced by min. hand in 20 min = ((360/60) x 20)°

= 120°

Required angle = (130 – 120)°

= 10°.

Workspace

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

A.

22

B.

24

C.

44

D.

48

Answer with explanation

Answer: Option CExplanation

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

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

Workspace

The calendar for the year 2007 will be the same for the year?

A.

2014

B.

2015

C.

2016

D.

2018

Answer with explanation

Answer: Option DExplanation

Count the number of odd days from the year 2007 onwards to get the sum equal to 0 odd day.

Year : 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 Odd day : 1 2 1 1 1 2 1 1 1 2 1

Sum = 14 odd days 0 odd days.

Calendar for the year 2018 will be the same as for the year 2007.

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.

100/11 min

C.

200/11 min

D.

120/11 min

Answer with explanation

Answer: Option CExplanation

At 8 o’clock, the hour is at 8 and the minutes 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

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