Tag: measurement of time

Quizzes (4) Questions (16)

Questions Related to measurement of time

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

Express $5\dfrac {2}{3} hrs$ in minutes.

  1. $235\ mins$

  2. $320\ mins$

  3. $340\ mins$

  4. $523\ mins$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

$5\dfrac {2}{3} hrs = \dfrac {17}{3}hrs$
$1\ hr = 60\ mins$
$\therefore \dfrac {17}{3} hrs = \dfrac {17}{3} \times 60\ mins = 340\ mins$.

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

What decimal of an hour is a second?

  1. $.0002\overline 9$

  2. $.00022\overline 8$

  3. $.0002\overline 7$

  4. $.0002\overline 6$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Given that one hour,

Now,

$1$ hour=$60\times 60$ second

$ 1s=\dfrac{1}{60\times 60}h $

$ =0.0002777777... $

$ =0.0002\overline{7} $

Hence, this is the answer.

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

$21$ months are equal to how many years?

  1. $1$

  2. $1\dfrac{1}{2}$

  3. $1\dfrac{3}{4}$

  4. $2$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

$1$ year $=12$ months 

$1$ month $=\dfrac{1}{12}$ years
$21$ months $=\dfrac{1}{12}\times21=\dfrac{7}{4}=1\dfrac{3}{4}$
So option $C$ is correct.

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

State 'T' for true and 'F' for false.
(I) $12$ hours $:30$ hours $=8$km $:20$km
(II) The ratio of $1$ hour to one day is $1:1$
(III) The two terms of a ratio can be in two different units.

  1. (I)-T, (II)-T, (III)-T

  2. (I)-F, (II)-F, (III)-F

  3. (I)-T, (II)-F, (III)-F

  4. (I)-F, (II)-T, (III)-F
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

$i)$ $12$ hours $:$ $30$ hours$=8Km:20Km$

$\cfrac{12}{30}=\cfrac{2}{5}$ hours.
$\cfrac{8}{20}=\cfrac{2}{5}$ Km.
Hence, $True.$
$ii)$ The ratio of $1$ hour to $1$ day,
$\cfrac{1\quad hour}{1\quad day}=\cfrac{1}{24}\quad hours\neq 1$
Hence, $false.$
$iii)$ The two terms of a ratio can not be in two different units.
Hence, $false$.
$(I)-T, (II)-F,(III)-F$

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

Which of these months does not have $31$ days?

  1. July

  2. March

  3. August

  4. November
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

$\Rightarrow$ All the 12 months have 31 or 30 days.

$\Rightarrow$  31 in case of January, March, May, July, august, October, December & 30 in case of April, June, September, November.
$\therefore$  $November$ does not have $31$ days.

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.