Questions Related to time

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 conversion of time time conversion time measurement of time maths

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. $4$

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

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

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

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

Reveal answer Fill a bubble to check yourself
D Correct answer
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.

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

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 }$

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

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

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


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

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

What unit would you use to measure water?

  1. Hectare

  2. Litre

  3. Gram

  4. Metre

Reveal answer Fill a bubble to check yourself
B Correct answer
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.

Multiple choice maths measuring time time in 24 hour clock time difference time

Write following $24$ hour times into $12$ hour times.
$3:50$

  1. $3:50$ am

  2. $3:50$ pm

  3. $3:50$

  4. $15:50$ pm

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

For $24$ hour time from $1:00$ to $11;59$ just mark $\text{am}$ to it to convert it into $12$ hour time.

$3:50=3:50 \ \text{am}$
Option A is correct.

Multiple choice maths measuring time time in 24 hour clock time difference time

Convert this $12$ hour time into $24$ hour time.
$9:20$ pm

  1. $9:20$ 

  2. $11:20$ 

  3. $19:20$

  4. $21:20$

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

To change a $pm$ time to $24$ hours time , you have to add $12 \ \ pm$ to the hours unless it is $12\ \ pm$ then the time remain unchanged .

$9:20\ \ pm=(9+12):20=21:20$ 
So option $D$ is correct.

Multiple choice maths measuring time time in 24 hour clock time difference time

Write following $24$ hour times into $12$ hour times.
$23:35$

  1. $11:35$

  2. $11:35$ am

  3. $11:35$ pm

  4. $23:35$ pm

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

To convert $24$ hour time from $13:00$ to $23:59$ into $12$ hour time just subtract $12$ from the hours and mark it as $\text{pm}$.

$23:35=(23-12):35 \ \text{pm}=11:35 \ \text{pm}$
Hence, the correct answer is $11:35\text{ pm}$.