Class 9 Mathematics (NCERT)

1. Which of the following is a rational number?

• A. √2
• B. √3
• C. √0.9
• D. 0

2. Between any two rational numbers, how many rational numbers exist?

• A. Exactly one
• B. Exactly ten
• C. Infinitely many
• D. None

3. The decimal expansion of an irrational number is always:

• A. Terminating
• B. Non-terminating repeating
• C. Non-terminating non-repeating
• D. Terminating repeating

4. Which of the following is an irrational number?

• A. √23
• B. √225
• C. 0.3796
• D. 7.478478...

5. The value of (3 + √3)(3 - √3) is equal to:

• A. 0
• B. 6
• C. 9
• D. 3

6. Rationalize the denominator of 1 / √7:

• A. 7 / √7
• B. √7 / 7
• C. 1 / 7
• D. √7

7. What is the value of (64)^(1/2)?

• A. 4
• B. 8
• C. 16
• D. 32

8. What is the value of (2^(2/3)) × (2^(1/5))?

• A. 2^(2/15)
• B. 2^(13/15)
• C. 2^(3/8)
• D. 2^(1/15)

9. Every real number is either:

• A. Only a rational number
• B. Only an irrational number
• C. Rational or Irrational
• D. A natural number

10. The value of (1/3³)^7 is equal to:

• A. 3^(-21)
• B. 3^21
• C. 3^4
• D. 3^(-10)