How many litres of water will be caught in 24 such gales when a 12 litre of water is caught in a gel?
Answers
Answer:
There are three containers with 12l, 24l, and 42l of water.
So, the (assuming that the water is filled to the brim) the capacity of the containers are 12l, 24l, and 42l respectively.
Now, we need to calculate the maximum capacity of a measuring container that can fully measure the quantity of water in all three containers,
Therefore, to do so, we need to find out the HCF of them.
For 12 = 6 × 2
For 24 = 6 × 4
For 42 = 6 × 7
Hence, HCF is 6 (as it is repeated thrice in all the factors of the three numbers)
Therefore, your required answer is 6litres i.e., we need a measuring container of 6litres to measure the water in them completely.
\huge {\blue {\underline {\mathfrak {Answer \: ii}}}}
Answerii
Now, in order to empty each container by using the measuring container, we need to empty them multiple times, because we can clearly see that 6 is smaller than all of them.
Therefore,
\large {\underline {For \: 1st \: Container}}
For1stContainer
Divide 12 by 6
i.e., \large {\frac{12}{6} }
6
12
= \large {2 }2
Thus we need to empty the first container 2 times to empty it fully by using the measuring container.
\large {\underline {For \: 2nd \: Container}}
For2ndContainer
Divide 24 by 6
i.e., \large {\frac{24}{6} }
6
24
= \large {4}4
Thus we need to empty the second container 4 times to empty it fully by using the measuring container.
\large {\underline {For \: 3rd \: Container}}
For3rdContainer
Divide 42 by 6
i.e., \large {\frac{42}{6} }
6
42
= \large {7}7
Thus we need to empty the third container 7 times to empty it fully by using the measuring container.
\large {\underline {Shortcut \: Method }}
ShortcutMethod
We can observe that 2times, 4times and 7times are all factors of 12, 24, and 42 respectively. Thus instead of going into so much calculation, you can directly write that the remaining factors of 12, 24, and 42 (i.e., factors other than 6) as your answer.
hope it will help you