Classify Real Numbers Quiz 1

Question 1

Which of the following statements is correct?

Accepted Answer

$$\sqrt 2  \in I$$

Answer

$$\sqrt 2  \in Q$$

Answer

Both $$\sqrt 2  \in Q$$ and $$\sqrt 2  \in I$$

Answer

None of these

Question 2

If $$a$$ is a real number whose values varies from $$(1 - \infty )$$ and $$\dfrac{P}{Q}$$ is a rational number, then what kind of number $$\left( {\dfrac{P}{Q} + a} \right)$$ will be?

Accepted Answer

Rational number

Answer

Natural number

Answer

Irrational number

Answer

Both rational and irrational numbers.

Question 3

Which of the following is an integer?

Accepted Answer

All are integers

Answer

$$\sqrt {25} $$

Answer

$${2^3}$$

Answer

$$ - \sqrt 9 $$

Question 4

Which of the following statements is correct?

Accepted Answer

Both a and c

Answer

$$\sqrt 2  \in I$$

Answer

$$2 \in I$$

Answer

$$ - \sqrt 9  
otin I$$

Question 5

$$	ext{Assertion: 3 is a rational number.}\ 	ext{Reason: Square root of all positive numbers is a rational number.}$$

Accepted Answer

Assertion is correct but reason is incorrect.

Answer

Both Assertion and Reason are correct and reason is the correct explanation of Assertion.

Answer

Both Assertion and Reason are correct and reason is not the correct explanation of Assertion.

Answer

Assertion is incorrect but reason is correct.