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Aptitude Clocks Test Paper 2


6) A clock is set at 4am. It loses 16 minutes in 24 hours. What will be the correct time when the clock indicates 9pm on the 4th day?

  1. 8pm
  2. 7pm
  3. 10pm
  4. 11pm

The Correct time is (C)

Explanation:

Time from 4am on a day to 9pm on the 4th day = 89 hours

As per the question, 23 hrs 44 minutes of this clock = 24 hours of the correct clock as this clock loses 16 minutes in 24 hours.

23 hrs 44 minutes =Apti Clocks39

Now, Apti Clocks40 Hrs of this clock = 24 hours of correct clock

89 hours of this clock = Apti Clocks41 * 89 = 90 hours of the correct clock, i.e. the correct clock gains one hour over the incorrect clock.

∴The correct time on the fourth day would be 10pm.


7) How much does a watch lose per day, if its hands coincide every 63 minutes?

  1. 56Apti Clocks42min.
  2. 57Apti Clocks43min.
  3. 55Apti Clocks44min.
  4. 54Apti Clocks45min.

The Correct answer is (A)

Explanation:|

The hands of a clock coincide once after 65 Apti Clocks46minutes in every hour.

As per question, the hands coincide in every 63 minutes.

Therefore, the loss in 63 minutes = Apti Clocks47

Apti Clocks48

Apti Clocks49

Now, loss in 63 minutes = Apti Clocks50

∴ Loss per day or in 24 hours=Apti Clocks51

Apti Clocks52


8) At what time between 4:30 and 5:00 will the hands of a clock be at right angle?

  1. 35Apti Clocks53min. past 4
  2. 37Apti Clocks54min. past 4
  3. 38Apti Clocks55min. past 4
  4. 39Apti Clocks56min. past 4

The Correct answer is (C)

Explanation:

As we know, the hands of a clock will be at 90° between H: 30 and (H+1) O'clock at (5H + 15) Apti Clocks57 minutes past H O' clock.

∴ Required time = (5H + 15) Apti Clocks58

Now, H = 4

= (5*4 + 15) Apti Clocks59
= 20 + 15 * Apti Clocks60

Apti Clocks61


9) A watch which gains uniformly is 5 minutes slow at 6am on Monday and is 5 minutes 48 seconds fast at 6pm on the following Monday. When was it correct?

  1. 5:20 pm on Wednesday
  2. 5:20 pm on Thursday
  3. 4:20 pm on Wednesday
  4. 4:20 pm on Thursday

The Correct answer is (B)

Explanation:

Time from 6am on Monday to 6pm on following Monday = 7 days and 12 hours, i.e. 24*7 + 12 = 180 hours

So, the watch gains Apti Clocks62 minutes in 180 hours

Now, Apti Clocks62 minutes are gained in 180 hours

∴ 5 minutes will be gained in Apti Clocks64 hours or 83 hours 20 minutes.

83 hour 20 minutes = 3 days (72 hours) 11 hours 20 minutes

Therefore, the watch was correct 3 days 11 hours 20 minutes after 6am on Monday, i.e. it was correct at 20 minutes past 5pm on Thursday.


10) At what times between 5 O' clock and 6 O' clock the hands of a clock are 10 minute spaces apart?

Apti Clocks65


The Correct answer is (A)

Explanation:

Between 5 O' clock and 6 O' clock, the hands will be 10 minutes spaces apart twice, i.e. when the minute hand is 10 minute spaces behind the hour hand and when the minute hand is 10 minute space ahead of the hour hand.

Case 1: When the minute hand is 10 minutes spaces behind the hour hand;

At 5 O' clock, the minute hand is 25 minute spaces behind the hour hand.

So, the minute hand has to gain (25-10) = 15 minute spaces over hour hand to be 10 minute spaces apart.

Now, 55 minute spaces are gained in 60 minutes.

15 minute spaces will be gained in Apti Clocks66 * 15 = 16 Apti Clocks66 minutes

∴The hands of the clock will be 10 minute spaces apart at 16 Apti Clocks66 minutes past 5.

Case 2: When the minute hand is 10 minute spaces ahead of the hour hand.

The minute hand has to gain (25 + 10) = 35 minute spaces over the hour hand.

Now, 55 minutes are gained in 60 minutes.

35 minutes will be gained in Apti Clocks66 * 35 = 38 Apti Clocks66 minutes

∴ The hands of the clock will be 10 minute spaces apart at 38Apti Clocks66 minutes past 5.


Aptitude Clocks Test Paper 1
Aptitude Clocks Test Paper 2
Clocks Concepts





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