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State true or false.

The $5$ rational numbers between $35, 45$ are $3150, 3250, 3350, 3450 and 3550$ .

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True

False

answer is A.

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Detailed Solution

Given numbers,

35, 45

.
To find whether the 5 rational numbers between

35, 45

are

3150, 3250, 3350, 3450 and 3550

or not.
Writing

35

as,

35 = 3 × 10 5 × 10 ⇒ 3050

Writing

45

as,

45 = 4 × 10 5 × 10 ⇒ 4050

As,

3050 < 3150 < 3250 < 3350 < 3450 < 3550 < .. < 4050

Therefore, some rational numbers between

35, 45

are

3150, 3250, 3350, 3450 and 3550

.
So, the given statement is true.
Hence, the correct option is 1.

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