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Question

If the capacity of a water container is 5.7 litres, then the volume of water that can be filled inside it without causing an overflow will be _____

A
5.69 litres
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B
5.71 litres
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C
5.73 litres
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D
5.78 litres
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Solution

The correct option is A 5.69 litres
First, we compare 5.73, 5.71 and 5.78 with 5.7.

As we know, 5.7 can be written as 5.70

So, we can compare the volumes as:


The first unequal digit come up in the hundredths place.

In the hundredths place, we have
0 < 1 < 3 < 8.

∴ 5.70 < 5.71 < 5.73 < 5.78.

Therefore, the volumes 5.71 litres, 5.73 litres, and 5.78 litres will cause an overflow in the 5.7 litres tank.

Let us compare 5.69 litres with 5.70 litres.


In the tenths place, 6 < 7.

∴ 5.69 < 5.70

So, the volume of water that can be filled inside the container without causing an overflow is 5.69 litres.

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