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Time conversion - class-VI

Description: Time conversion
Number of Questions: 16
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Tags: measurement of time time maths
Attempted 0/16 Correct 0 Score 0

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

  1. $235\ mins$

  2. $320\ mins$

  3. $340\ mins$

  4. $523\ mins$


Correct Option: C
Explanation:

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

Convert $2$ hours into minutes.

  1. $60\ min$

  2. $30\ min$

  3. $90\ min$

  4. $120\ min$


Correct Option: D
Explanation:

$1$ hour $=60$ minutes


$2$ hours $=2\times 60=120$ minutes

So option $D$ is correct.

What decimal of an hour is a second?

  1. $.0002\overline 9$

  2. $.00022\overline 8$

  3. $.0002\overline 7$

  4. $.0002\overline 6$


Correct Option: C
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.

$21$ months are equal to how many years?

  1. $1$

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

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

  4. $2$


Correct Option: C
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.

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


Correct Option: C
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, $false$.
$(I)-T, (II)-F,(III)-F$

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. $360^0$


Correct Option: A
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=$360^0+\dfrac{5}{60}\times 360^0=390^0$

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

  1. $10521\ seconds$

  2. $10510\ seconds$

  3. $11520\ seconds$

  4. $10600\ seconds$


Correct Option: C
Explanation:

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

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

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

  1. July

  2. March

  3. August

  4. November


Correct Option: D
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.

How many seconds does an hour has?

  1. $3600$

  2. $600$

  3. $360$

  4. $60$


Correct Option: A
Explanation:

As we know, $1$ hour $=60$ minutes
and $1$ minute $=60$ seconds
So, $1$ hour $=60\times 60=3600$ seconds.
Hence, an hour has $3600$ seconds.

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


Correct Option: A
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.

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. $22$


Correct Option: B
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.

$5$ hour $=$ ________ minutes.

  1. $60$

  2. $300$

  3. $120$

  4. $600$


Correct Option: B
Explanation:

As we know, $1$ hour $=60$ minutes
So, $5$ hours $=5\times 60=300$ minutes.
Hence, $5$ hours $=300$ minutes.

A boat travels upstream from $B$ to $A$ and down stream from $A$ to $B$ in $3$ hours. If the speed of the boat in still water is $9\ km/hr$ and the speed of the current is $3\ km/ hr$, then the distance (in km) between $A$ and $B$ is

  1. $12$

  2. $8$

  3. $6$

  4. $4$


Correct Option: A
Explanation:

Let the distance between $A$ and $B$ be $x$ km.
Upstream speed $= 9 - 2 = 6\ kmph$
Downstream speed $= 9 + 3 = 12\ kmph$
$\dfrac {x}{6} + \dfrac {x}{12} = 3\Rightarrow \dfrac {2x + x}{12} = 3\Rightarrow 3x = 36 \Rightarrow x = 12\ km$.

A mapping $f:N\rightarrow N$ where N is the set of natural numbers is defined as 
$ f\left( n \right) =\left{ { n }^{ 2 },for\quad n\quad odd\ 2n+1,for\quad n\quad even \right \$ .For $n\quad \Box \quad N$.Then f is

  1. Surjective but not injective

  2. Injective but not surjective

  3. Bijective

  4. Neither injective nor surjective


Correct Option: D
Explanation:

As $f(3)=f(4)=9$
we can say that function is not one-one and $y=2$ does not exists.we can say that function is not onto. Therefore option D is correct.

A speed of $14$ metres per second is the same as:

  1. $28 \ \mathrm { km } / \mathrm { hr }$

  2. $46.6 \ \mathrm { km } / \mathrm { hr }$

  3. $ 50.4 \ \mathrm { km } / \mathrm { hr }$

  4. $ 70 \ \mathrm { km } / \mathrm { hr }$


Correct Option: C
Explanation:

$Speed\>=\>14\>\dfrac{m}{s}$

$=14\dfrac{\dfrac{1km}{1000}}{\dfrac{1hr}{3600}}$


$=\dfrac{14\cdot3600}{1000}\dfrac{km}{hr}=50.4\>\dfrac{km}{hr}$

What unit would you use to measure water?

  1. Hectare

  2. Litre

  3. Gram

  4. Metre


Correct Option: B
Explanation:

Hectare and metre are used to measure distances while gram is used to measure mass, and water is measured in terms of volume which is measured as litre.

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