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Aptitude Clocks Test Paper 1


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

  1. 24
  2. 22
  3. 23
  4. 21

The Correct answer is (B)

Explanation:

The hands of a clock coincide only once between 11 O' clock and 1 O' clock, so in every 12 hours, the hands of a clock will coincide for 11 times.

∴ In a day or 24 hours, the hands of a clock will coincide for 22 (11+11) times.


2) At what time between 3 and 4, the hands of a clock are straight and point in opposite directions?

  1. 42Apti Clocks15min. past 3
  2. 45Apti Clocks16min. past 3
  3. 49Apti Clocks17min. past 3
  4. 51Apti Clocks18min. past 3

The Correct answer is (C)

Explanation:

At 3 O' clock, the hands of the clock are 15 minute spaces apart. To be in straight line and in opposite directions, the hands must be 30 minutes spaces apart.

Now, the minute hand is 15 minute spaces behind the hour hand, so it has to gain 45 (15+30) minute spaces over the hour hand.

55 minute spaces are gained in 60 minutes by the minute hand

45 minutes will be gained in =Apti Clocks19* 45 minutes

Apti Clocks20 minutes past 3.

Solution 2:

Apply formula: (5H + 30) Apti Clocks21 minutes past H, when H < 6

As per the question, H = 3 O' clock

Required time = (5*3 + 30) Apti Clocks22

=(15+30) Apti Clocks23

=45 *Apti Clocks24

Apti Clocks25


3) An accurate clock indicates 8 O' clock in the morning. Through how many degrees the hour hand turns when the clock indicates 3 O' clock in the afternoon?

  1. 210°
  2. 200°
  3. 190°
  4. 185°

The Correct answer is (A)

Explanation:

There are 7 hours between 8 O' clock in the morning and 3 O' clock in the afternoon.

Now, angle traced by the hour hand in 12 hours = 360°

∴ Angle traced by the hour hand in 7 hours =Apti Clocks26


4) What is the angle between hour hand and minute hand of a clock at 3.30?

  1. 65°
  2. 70°
  3. 75°
  4. 80°

The Correct answer is (C)

Explanation:

Angle traced by the hour hand in 12 hours = 360°

Angle traced by the hour hand in 3 hours 30 minutes =Apti Clocks27

Apti Clocks28

Angle traced by minute hand in 60 minutes = 360°

Angel traced by minute hand in 30 minutes = Apti Clocks29

∴ Required angle would be = (180 - 105)° = 75°


5) At what time between 4 o'clock and 5 O' clock will the hands of a clock coincide?

  1. 21Apti Clocks30minutes past 4
  2. 20Apti Clocks31minutes past 4
  3. 19Apti Clocks32minutes past 4
  4. 22Apti Clocks33minutes past 4

The Correct answer is (A)

Explanation:

At 4 O' clock, the minute hand is 20 minute spaces behind the hour hand. To coincide with the hour hand, it has to gain 20 minute spaces.

Now, 55 minute spaces are gained by the minute hand in 60 minutes

20 minutes will be gained in Apti Clocks34

∴ The hands will coincide at 21 Apti Clocks35minutes past 4.

Solution 2:

Apply formula:

Apti Clocks36 minutes past H O' clock

Now, H = 4 O' clock

∴Required time =Apti Clocks37

Apti Clocks38




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