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Which of the following statement is true: 1. There are no rational numbers between √2 and √3. 2. There are no positive numbers less than 0. 3. There are exactly five whole numbers between 67 and 74 4. There are infinite rational numbers between 8 and 9

Which of the following statement is true: 1. There are no rational numbers between √2 and √3. 2. There are no positive numbers less than 0. 3. There are exactly five whole numbers between 67 and 74 4. There are infinite rational numbers between 8 and 9 Correct Answer Statement 2 and Statement 4 are true

Calculation:

Statement 1

√2 ≈ 1.414 and √3 ≈ 1.732

There can be infinite rational numbers between 1.414 and 1.732

For example 1.415, 1.416, 1.425, 1.521

Hence, Statement 1 is not true.

Statement 2

As 0 is a neutral number which bifurcates negative and positive numbers

There are no positive numbers less than 0.

Hence, Statement 2 is true.

Statement 3

Whole numbers between 67 and 74 are 68, 69, 70, 71, 72, and 73

There are total 6 whole numbers between 67 and 74

Hence, Statement 3 is not true.

Statement 4

There are infinite rational numbers between any two given numbers.

So there are infinite numbers between 8 and 9.

Hence, Statement 4 is true.

∴ Statement 2 and Statement 4 are true

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