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Mth – REAL NUMBERS + LOGARITHMS

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Question 1 of 20 0% read

1. Which of the following is a rational number?

A √2

B √3

C π

D √16

2. Express 0.00056 in scientific notation.

A 5.6 × 10⁻⁴

B 5.6 × 10⁴

C 56 × 10⁻⁵

D 0.56 × 10⁻³

3. Which of the following is a rational number between 2 and 3?

A √5

B 2.5

C π

D √7

4. The density property of real numbers means:

A Between any two real numbers there is another real number

B Real numbers are countable

C Real numbers have a smallest element

D Real numbers are all integers

5. Express 7.2 × 10⁻⁵ in standard notation.

A 0.000072

B 0.0000072

C 720000

D 0.72

6. Which logarithm is undefined?

A log₂(0)

B log₂(1)

C log₂(2)

D log₂(4)

7. Simplify: log₉(3).

A 1/2

B 2

C 1/3

D 3

8. The number π (pi) is an example of:

A A rational number

B An irrational number

C An integer

D A whole number

9. If log₁₀(5) = 0.6990, what is log₁₀(50)?

A 0.6990

B 1.6990

C 2.6990

D 3.6990

10. Simplify: log₅(125).

A 2

B 3

C 5

D 25

11. Using the change of base formula, log₅(20) can be written as:

A log₁₀(5) / log₁₀(20)

B log₁₀(20) / log₁₀(5)

C log₂₀(5) / log₂₀(10)

D log₅(10) / log₂₀(10)

12. What is the additive identity for real numbers?

A 0

B 1

C -1

D 10

13. The decimal expansion of an irrational number is:

A Terminating

B Non-terminating and repeating

C Non-terminating and non-repeating

D Terminating and repeating

14. What is the value of 2⁰?

A 1

B 0

C 2

D Undefined

15. The multiplicative inverse of -3/4 is:

A 3/4

B 4/3

C -4/3

D 1

16. If log₁₀(2) ≈ 0.3010, then log₁₀(8) is approximately:

A 0.9030

B 0.6020

C 0.3010

D -

17. If log₁₀(5) ≈ 0.6990, what is log₁₀(50)?

A 1.6990

B 0.6990

C 2.6990

D 3.6990

18. What is the value of log₁₀(1)?

A 0

B 1

C 10

D Undefined

19. Simplify: x⁵ × x⁷

A x¹²

B x³⁵

C x²

D x⁷

20. The additive inverse of -a/b is:

A -b/a

B b/a

C a/b

D 1

Mth – REAL NUMBERS + LOGARITHMS

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