Tag: basic operations with same units

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

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

  1. $34.5\ kg$
  2. $3.45\ kg$
  3. $31.5\ kg$
  4. $345\ kg$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

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

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

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

  1. $5:15$
  2. $5:45$
  3. $6:15$
  4. $6:45$
Reveal answer Fill a bubble to check yourself
C Correct answer
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 
$=6:15$

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

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?

  1. $7:00$ P.M.
  2. $7:08$ P.M.
  3. $7:12$ P.M.
  4. $7:16$ P.M.
Reveal answer Fill a bubble to check yourself
D Correct answer
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.

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

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

  1. $\dfrac 23$
  2. $\dfrac{-3}{2}$
  3. $\dfrac{1}{2}$
  4. $\dfrac{1}{9}$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation
Given points $(3,2);(8,7)$
Let the ratio be $m:n$
The dividing point is given as $\dfrac{8m+3n}{m+n}=5\\8m+3n=5m+5n\\3m=2n\\\dfrac mn=\dfrac 23$