Tag: operations involving units of length

Questions Related to operations involving units of length

Divide $4\ kg\ 64\ g$ by $4$.

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

  1. $1.16\ kg$

  2. $10.16\ kg$

  3. $1.016\ kg$

  4. $101.6\ kg$

Show answer
Correct Option: C
Explanation:

$1\ \ kg=1000g$

$\Rightarrow 1\ \ g=\dfrac{1}{1000}\ \ kg$
$4\ \ kg\ \ 64\ \ g=4+\dfrac{64}{1000}=4.064\ \ kg$
$\dfrac{4.064}{4}=1.016\ \ kg$
Option $C$ is correct.

Vineet packed $\dfrac {3}{4} kg$ of sugar each into $42$ plastic bags. Find the total weight of sugar Vineet packed.

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

  1. $34.5\ kg$

  2. $3.45\ kg$

  3. $31.5\ kg$

  4. $345\ kg$

Show answer
Correct Option: C
Explanation:

Weight of sugar in $1\ bag = \dfrac {3}{4} kg$
$\therefore$ Weight of sugar in $42$ bags
$= \left (\dfrac {3}{4}\times 42\right ) kg = \dfrac {63}{2} kg = 31.5\ kg$.

What is $2:15+2:00$ in minutes and hours?

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

  1. $2$ hrs $15$ minutes

  2. $2$ hrs $45$ minutes

  3. $4$ hrs $45$ minutes

  4. $4$ hrs $15$ minutes

Show answer
Correct Option: D
Explanation:

$2:15+2:00$

$=4:15$
So it is $4$ hours and $15$ minutes.

What is $3:13 A.M.+1:15 A.M. =$ ?

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

  1. $4:28 A.M.$

  2. $3:28 A.M.$

  3. $5:08A.M.$

  4. $1:15A.M.$

Show answer
Correct Option: A
Explanation:

$3:13 A.M.+1:15A.M.$

$=4:28 A.M.$
Option $A$ is correct.

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

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

  1. $5:15$

  2. $5:45$

  3. $6:15$

  4. $6:45$

Show answer
Correct Option: C
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 
$=6:15$

If Tina weighs $\dfrac{2}{3}$times than Reema and Reema weighs $45$ kg, then Tina's weight is

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

  1. $45$

  2. $30$

  3. $15$

  4. $50$

Show answer
Correct Option: B
Explanation:

Weight of Reema $=w=45\ \ Kg$

Weight of Tina $=\dfrac{2}{3}w=\dfrac{2}{3}\times{45}=30\ \ Kg$
Option $B$ is correct.

What is $3:50-2:45$ ? 

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

  1. $1:00$

  2. $1:05$

  3. $1:15$

  4. $1:25$

Show answer
Correct Option: B
Explanation:

$3:50-2:45$

Subtracting hour from hour and minutes from minutes 
$\Rightarrow 1:05$
So option $B$ is correct.

What is $4:15-3:30$ ?

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

  1. $00:45$

  2. $-1:15$

  3. $-00:15$

  4. $1:15$

Show answer
Correct Option: A
Explanation:

$4:15$

$=4\times 60+15$ minutes
$=255$ minutes
$3:30$
$=3\times 60+30$ minutes
$210$ minutes
$\therefore 4:15-3:30=255-210=45$ minutes
So time is $00:45$

Gabriel watched $3$ old movies on videotape. The first movie was $62$ minutes long. The
second was $1$ hour $34$ minutes long. The third was $1$ hour $25$ minutes long. He started
watching at $3:15$ P.M. At what time did the last movie end?

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

  1. $7:00$ P.M.

  2. $7:08$ P.M.

  3. $7:12$ P.M.

  4. $7:16$ P.M.

Show answer
Correct Option: D
Explanation:

First movie $62$ min.

Second movie $94$ min
Third movie $85$ min
so total time of movie will be $241$ minutes
which makes $4$ hours and 1 minute
So he should finish $3:15 + 4:01$ = $7:16 $ P.M.

The ratio at which the point $(5,4)$ divides the line $(3,2)$ and $(8,7)$

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

  1. $\dfrac 23$

  2. $\dfrac{-3}{2}$

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

  4. $\dfrac{1}{9}$

Show answer
Correct Option: A
Explanation:
Given points $(3,2);(8,7)$
Let the ratio be $m:n$
The dividing point is given as $\dfrac{8m+3n}{m+n}=5\\8m+3n=5m+5n\\3m=2n\\\dfrac mn=\dfrac 23$