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The five rational numbers between $35$ and $45$ are:

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1730, 2030, 2130, 2230 and 2330

1930, 2030, 2130, 2230 and 2530

1930, 2030, 2130, 2230 and 2330

1930, 2030, 2730, 2230 and 2330

answer is C.

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Detailed Solution

Given: Number are

35

and

45

.
Denominator Method:
As we are asked to find out 5 numbers between

35

and

45

, so we multiply the numerator and denominator of

35

and

45

by 5 + 1, i.e., 6.
Here, let us apply the denominator method:
Now, we shall multiply the numerator and denominator of

35

and

45

by 6:

35 = 3 × 6 5 × 6 = 1830 and 45 = 4 × 6 5 × 6 = 2430

Now, let us Insert 5 rational numbers between

1830

and

2430

:
By increasing the numerators by 1 of

1830

successively, we get the required 5 numbers:

1930, 2030, 2130, 2230 and 2330

Hence, five rational numbers between

35

and

45

are:

1930, 2030, 2130, 2230 and 2330

Therefore, the correct option is 3.

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