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Question

Which of the following represents a set of 4 rational numbers between 12 and 13?

A
130, 230, 330, 430
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B
1130, 2230, 3330, 4030
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C
1130, 1230, 1330, 1430
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D
130, 1130, 1030, 1230
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Solution

The correct option is C 1130, 1230, 1330, 1430
The given two rational numbers are 12 and 13
Let us convert these numbers into fractions with equal denominators,
12=1×32×3=36
And,13=1×23×2=26
Here 2 and 3 on the numerators are consecutive natural numbers.
Now, let us multiply the numerators and denominators of both the fractions by 5.
So we get,
3×56×5=1530 and 2×56×5=1030
Now, we can have 4 consecutive integers between 10 and 15.
So, the required set of 4 numbers between 12 and 13 are 1130, 1230, 1330, 1430.

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