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Question

Which of the following numbers is the greatest?

A
12
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B
0
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C
12
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D
2
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Solution

The correct option is C 12
The given numbers are 12, 0, 12, and 2

We can write 0 and 2 as 01 and 21 respectively.

For comparing all the 4 rational numbers, we have to make their denominators same.

Hence, multiplying 22 with 01 and 21.

Now, the numbers will be:
12, 02, 12 and 42

Comparing the numerators, we get:
4<1<0<1

Hence, the rational number with numerator 1 is the greatest.
Hence, 12 is the greatest of all the given numbers.

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