Tag: time

Questions Related to time

Write following $12$ hour times into $24$ hour times.
$8:53$ pm

maths measuring time time in 24 hour clock time difference time

  1. $8:53$ am

  2. $8:53$ pm

  3. $20:53$

  4. $20:53$ pm

Show answer
Correct Option: C
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 .

$8:53\ \ pm =(8+12):53=20:53$
Option $C$ is correct.

Marry put a roast in the oven at $2:45$ P.M. She cooked the roast for $3$ hours $48$ minutes. What time did Marry take the roast out of the oven?

maths measuring time time in 24 hour clock time difference time

  1. $5:36$ P.M.

  2. $6:21$ P.M.

  3. $6:33$ P.M.

  4. $7:30$ P.M.

Show answer
Correct Option: C
Explanation:

This question becomes simply the question of addition and substraction of time.
$ \therefore $ $2: 45 + 3:48$ = $6:33 $

Write following $24$ hour times into $12$ hour times.
$12:00$

maths measuring time time in 24 hour clock time difference time

  1. $12:00$ am

  2. $12:00$ pm

  3. $12:00$

  4. $0:00$

Show answer
Correct Option: B
Explanation:

For $2$ hours time from $12:00$ to $12:59$ just maark $\text{pm}$ to it to convert it into $12$ hour time.

$12:00=12:00$ pm
Hence, option B is correct.

A day has how many hours?

maths measuring time time in 24 hour clock time difference time

  1. $12$ hours

  2. $24$ hours

  3. $36$ hours

  4. $48$ hours

Show answer
Correct Option: B
Explanation:

A day has $86400s=1440mins=24hrs$

Hence, the answer is $24$ hrs.

At 4.24 pm, how many degrees has the hour hand of a clock moved from its position at noon ?

maths measuring time time in 24 hour clock time difference time

  1. $132^{\circ}$

  2. $135^{\circ}$

  3. $140^{\circ}$

  4. $145^{\circ}$

Show answer
Correct Option: A
Explanation:

The amount of degrees moved by the hour clock $=$
$=\dfrac{360}{12}(4+\dfrac{24}{60})$
$=120+12=132^\circ$

What percent of $1$ day is $36$ minutes?

maths measuring time time in 24 hour clock time difference time

  1. $25\%$

  2. $2.5\%$

  3. $3.6\%$

  4. $0.25\%$

Show answer
Correct Option: B
Explanation:
Total hours in 1 day $=  24$ hrs
$1$ hour $= 60$ minutes
Total minutes in $1$ day $=  24 \times 60 = 1440$ minutes
Percent of $36$ min in $1$ Day is 
$= \dfrac{36}{1440} \times 100  \% = 2.5 \%$

What does a.m. and p.m. means respectively?

maths measuring time time in 24 hour clock time difference time

  1. Before and after midday

  2. After and before midday

  3. Before and after midnight

  4. After and before midnight

Show answer
Correct Option: A
Explanation:
AM and PM both are Latin words, used in 12-hour clock system to represent Before Noon and After Noon. They are also represented as A.M. and P.M.
AM expand as Anti Meridiem which means "before midday" and PM expand as Post Meridiem which means "after midday".

The hands of a clock coincide after every  $66$  minutes of correct time. How much is the clock fast or slow in  $24$  hours?

maths measuring time time in 24 hour clock time difference time

  1. $12 \frac { 108 } { 121 }$

  2. $11 \frac { 109 } { 121 }$

  3. $Both (A) & (B)$

  4. None of these

Show answer
Correct Option: B
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
Net decrease For $1$ min is $\dfrac{11}{2}^{\circ}$
For $x$ min the decrease must be $30^{\circ}$
$\implies x=\dfrac{60}{11}$
So the hands to co incide again it takes $60+\dfrac{60}{11}\implies 65\dfrac{5}{11}$ min
The clock shows $\dfrac{6}{11}$ min error for $66$ min

The clock shows $x$ min error for $24\times 60$ 
$\implies x=\dfrac{\dfrac{5}{11}\times24\times60}{11}=11\dfrac{109}{121} $

Calculate the time shown on Varun's watch, when the actual time was half past $6$ in the evening.

maths measuring time time in 24 hour clock time difference time

  1. $5:30$ p.m

  2. $6:55$ p.m

  3. $6:30$ p.m

  4. $5:55$ p.m

Show answer
Correct Option: A
Explanation:
With minutes 1 – 29, we say it’s past (or after) the hour.

Therefore, half past 6 means

$5:30pm$

Choose the most appropriate option.
The angles between the hands of a clock when the time is $4:25$ am is?

maths measuring time time in 24 hour clock time difference time

  1. $14.5$ degrees

  2. $12.5$ degrees

  3. $17.5$ degrees

  4. $13.5$ degrees

Show answer
Correct Option: C
Explanation:
The hour hand rotates $0.5^o$ per minute while the minute hand rotates $6^o$ per minute.

At exactly four, the hour hand as completed $240$ minutes $= 120^o$. 

Hence angle between minute and hour hand at that point is $120^o$.

At $4:25,$ the minute hand has moved $25\times 6= 150^o.$

Thus angle between minute hand and $12$(on the clock) is $150^o.$

But at the same time, even the our hand has moved $0.5\times 25= 12.5^o.$

Now, the angle between the hour hand and $12$(on the clock) is $120+12.5=132.5^o$.

Now the angle between the two hands of the clock $=150^o-132.5^o$ 
                                                                                       $ = 17.5^o.$