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Question

Find five rational numbers between $$1$$ and $$2.$$


A
110,210,310,410,510
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B
15,25,35,45,55
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C
12,13,14,15,16
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D
87,97,107,117,127
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Solution

The correct option is B $$\dfrac {8}{7}, \dfrac {9}{7}, \dfrac {10}{7}, \dfrac {11}{7}, \dfrac {12}{7}$$
The given rational numbers are $$1$$ and $$2$$.

Let us multiply both the numbers by $$\dfrac {7}{7}$$.

$$1\times \dfrac {7}{7} = \dfrac {7}{7}$$ and $$2\times \dfrac {7}{7} = \dfrac {14}{7}$$.

Thus, five rational numbers between $$\dfrac {7}{7} = 1$$ and $$\dfrac {14}{7} = 2$$ are $$\dfrac {8}{7}, \dfrac {9}{7}, \dfrac {10}{7}, \dfrac {11}{7}, \dfrac {12}{7}$$.

Mathematics

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