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Find five rational numbers between $23$ and $45$ .

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724, 824, 924, 1024, 1124

− 9 25, − 3 10, − 1 10, − 1 25, 225

4160, 4260, 4360, 4460, 4560

− 1 6, 26, 36, 46, 56

answer is C.

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Detailed Solution

It is given,

23

and

45

.
Multiply by 20 in the numerator and denominator of the fraction to make the denominators same for both the given numbers,

23 = 2 × 20 3 × 20 = 4060

Multiply by 12 in the numerator and denominator of the fraction,

45 = 4 × 12 5 × 12 = 4860

The five rational numbers that lie between

and

4860

are,

= 4160, 4260, 4360, 4460, 4560

Hence, the five rational numbers lie between

23

and

45

are

4160, 4260, 4360, 4460, 4560

.
Correct option is 3

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