Quantitative Aptitude · Reasoning

Time and Clocks

491 Questions

Time and clocks problems evaluate quantitative aptitude by testing concepts on clock gains, losses, and relative speeds of hands. Questions also cover global time zones and standard time calculations. These logical reasoning topics frequently appear in SSC and banking exams.

Clock gain or lossTime zonesAngle between handsStandard time calculationPrecise time measurement

Time and Clocks Questions

Multiple choice conversion of time time conversion time measurement of time maths

A clock gains 5 minutes every hour.Then the angle traversed by the seconds hand in one minute will be 

  1. $390^0$
  2. $380^0$
  3. $360.5^0$
  4. $360^0$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Gain in 60 min=5min
in 1 min =$\dfrac{5}{60}min=\dfrac{5}{60}\times 60 sec=5 sec$
Angle traversed by second hand=$360^0+\dfrac{5}{60}\times 360^0=390^0$

Multiple choice conversion of time time conversion time measurement of time maths

$3$ hour $12$ minutes is equal to how many seconds?

  1. $10521\ seconds$
  2. $10510\ seconds$
  3. $11520\ seconds$
  4. $10600\ seconds$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

$3$ hr $12$ min $=3\times 60\times 60+12\times 60$

$=3600\times3+720$ s
$=10800+720$ s $=11,520$ s

Multiple choice conversion of time time conversion time measurement of time maths
At what time between  $1.30\mathrm { pm }$  and $2\mathrm { pm }$  will both the hands of a clock be at right angles?
  1. $4 \dfrac { 6 } { 11 }$
  2. $61 \dfrac { 5 } { 11 }$
  3. $\operatorname { Both } ( A ) \& ( B )$

  4. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The angle between $2$ successive numbers in the clock is $\dfrac{360}{12}=30^{\circ}$

The angle between successive dots is $\dfrac{360}{60}=6^{\circ}$
For one rotation of minutes hand hours hand rotates by $30^{\circ}$
$\implies $ For increase in $1$ minute there is increase of $\dfrac{1}{2}^{\circ}$ for hours hand

At $1.50\text{pm}$
Angle Between hands of clock at $90+\dfrac{50}{2}=115$

For every $1$ min there is a decrease of $\dfrac{11}{2}^{\circ}$

For every $x$ min there is a decrease of $25^{\circ}$

$\implies x=\dfrac{25\times 2}{11}=4\dfrac{6}{11}$min

So at $4\dfrac{6}{11}$ pm the hands are perpendicular to each other.

Multiple choice conversion of time time conversion time measurement of time maths

If a clock strikes $12$ in $33$ seconds, it will strike $6$ in how many seconds?

  1. $\displaystyle \frac{33}{2}$
  2. $15$
  3. $12$
  4. $22$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

In order to strike 12 there are 11 intervals of equal time = $\displaystyle \frac{33}{11}$ = 3 seconds each
Therefore to strike 6 it has 5 equal intervals, it requires 5 $\displaystyle \times $ 3 =15 sec.

Multiple choice lorentz transformation and muon experiment option a: relativity physics

The minute hand of the clock is 4 cm long. The average velocity of the tip of the minute hand between 11:00 am to 11:30 am is:

  1. $1.5\times { 10 }^{ -5 }{ m }/{ s }$
  2. $4.4\times { 10 }^{ -5 }{ m }/{ s }$
  3. $1.8\times { 10 }^{ -6 }{ m }/{ s }$
  4. $3.5\times { 10 }^{ -6 }{ m }/{ s }$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Average velocity $ = \dfrac{Total \; Displacement}{Total \; Time}$


$ = \dfrac{  2\times 0.04}{30 \times 60} = 4.44 \times 10^{-5} \;m/s$

Multiple choice lorentz transformation and muon experiment option a: relativity physics
Two clocks are running in synchronism. One clock is moved at a very high speed and returned to the original position on the earth while the other remains at rest. The time passed in the travelling clock is 1 hr. Which of the following could be the time passed in the clock kept on the earth.

  1. 30 minutes

  2. 45 minutes

  3. 59 minutes

  4. 1 hours

  5. 2 hours
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

According to the time dilation concept of relativity, the moving clock runs at slower rate than the rest clock  i.e rest clock measures longer time taken by an event than the moving clock.

Hence time elapsed in the clock kept on earth must be greater than 1 hr.
So, option E is correct.

Multiple choice evs magic with mirrors lateral inversion right or left reflection at plane surface

A clock fixed on a wall shows time $04:25:37$. What time will its image in a plane mirror show?

  1. $07:43:32$
  2. $07:43:32$
  3. $07:35:23$
  4. $43:27:36$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation
  • Given that in question actual time and its image will show same interpreted time at  06:00:00 and 12:00:00
  • Now , 06:00:00 - 04:25:37 = 01:34:23. This means the time 04:35:27 is 1 hour 34 minutes and 23 seconds to 06:00:00.
  • So the interpreted image of this time is 1 hour 34 minutes and 27seconds past  06:00:00; that is, 07:34:27
  • Hence the option C is the right answer
Multiple choice evs magic with mirrors lateral inversion right or left reflection at plane surface

A clock fixed on a wall shows time 04 : 25 : 37. Its image in a plane mirror shows :

  1. 07 : 30 : 33

  2. 07 : 43 : 32

  3. 07 : 35 : 22

  4. 43 : 27 : 36
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

After reflection,
Image of the hour hand will look like its pointing between 7 and 8.
Image of the minute hand will look like its pointing at 7.
Image of the hour hand will look like its pointing between 4 and 5.
So the time will appear to be $07 : 35 : 22$

Multiple choice maths how much does it weigh? basic operations with same units operations involving units of length calculations define weight and units of weight

Calculate the time $1:30+4:45$.

  1. $5:15$
  2. $5:45$
  3. $6:15$
  4. $6:45$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

$1:30+4:45$

Adding hours $=1+4=5$ hours
Adding minutes $30+45=75$ minutes
Now $60$ minutes $=1 $ hour
$\therefore 75$ minutes $=1$ hour $+15$ minutes
So total time is $(5+1=6)$ hours and  $15$ minutes 
$=6:15$