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Find ten rational numbers between $35$ and $34$ .

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4980, 58, 5180, 2640, 2740, 1116, 2840, 5780, 2940, 5980

− 9 25, − 3 10, − 1 10, − 1 25, 225, 110, 425, 1625, 325, 25

1,2,3,4,5,6,7,8,9,10

None of the above.

answer is A.

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Detailed Solution

It is given,

35

and

34

.
Multiply by 16 in the numerator and denominator of the fraction to make the denominators same for both the given numbers,

35 = 3 × 16 5 × 16 = 4880

Multiply by 20 in the numerator and denominator of the fraction,

34 = 3 × 20 4 × 20 = 6080

The ten rational numbers between

and

6080

i.e,

35

and

34

are,

= 4980, 5080, 5180, 5280, 5480, 5580, 5680, 5780, 5880, 5980

Hence, the ten rational numbers between are

4980, 58, 5180, 2640, 2740, 1116, 2840, 5780, 2940, 5980

.
Correct option is 1.

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