Class 9 Practice Level 2 - Number Systems - Set 1

Total questions: 25

Which of the following expressions represents a rational number?

Topic: Real Numbers

$ \displaystyle {\surd 2\text{ }+\text{ }3}$

$ \displaystyle {\surd 5\text{ }-\text{ }\surd 3}$

$ \displaystyle {2\surd 2}$

$ \displaystyle {\left( {3\text{ }+\text{ }\surd 2} \right)\text{ }+\text{ }\left( {3\text{ }-\text{ }\surd 2} \right)}$

None

Which of the following numbers can be expressed as a terminating decimal?

Topic: Real Numbers

$ \displaystyle {\frac{1}{3}}$

$ \displaystyle {\frac{1}{4}}$

$ \displaystyle {\frac{1}{7}}$

$ \displaystyle {\frac{1}{9}}$

None

The decimal expansion of the rational number $ \displaystyle {\frac{7}{{12}}}$ will:

Topic: Real Numbers

Terminate

Become zero after some time

Repeat after a finite number of digits

None of these

None

Which of the following is an rational number?

Topic: Real Numbers

$ \displaystyle {{{{\left( {2\surd 3} \right)}}^{{}^\text{2}}}}$

$ \displaystyle {3\text{ }+\text{ }\surd 2}$

$\displaystyle \sqrt{4}$

$\displaystyle \sqrt{4}+\sqrt{9}$

None

If a and b are rational numbers, and $ \displaystyle {\surd 3}$ is an irrational number, which of the following expressions is irrational?

Topic: Real Numbers

$ \displaystyle {a\text{ }+\text{ }b}$

a + 2b

a - b

$ \displaystyle {a\text{ }+\text{ }b\surd 3}$

None

The product of $ \displaystyle {\surd 5}$ and $ \displaystyle {\surd 20}$ is:

Topic: Real Numbers

$ \displaystyle {5\surd 4}$

$\displaystyle {10}$

$ \displaystyle {\surd 100}$

$ \displaystyle {2\surd 25}$

None

Which of the following is the correct representation of the rational number 0.142857...?

Topic: Real Numbers

$ \displaystyle {\frac{1}{7}}$

$ \displaystyle {\frac{1}{9}}$

$ \displaystyle {\frac{1}{{11}}}$

$ \displaystyle {\frac{1}{{13}}}$

None

The decimal expansion of $ \displaystyle {\frac{3}{{11}}}$ is:

Topic: Real Numbers

Terminating

Non-terminating and repeating

Non-terminating and non-repeating

None of these

None

Which of the following is an rational number?

Topic: Real Numbers

$ \displaystyle {\frac{{22}}{7}}$

√3

3.141592653589793...

$ \displaystyle {2\surd 2}$

None

10.

Which of the following is the sum of two different irrational numbers?

Topic: Real Numbers

$ \displaystyle {\surd 2\text{ }+\text{ }2\surd 2}$

$ \displaystyle {\surd 2\text{ }+\text{ }\surd 3}$

$ \displaystyle {2\surd 2\text{ }+\text{ }3\surd 2}$

$ \displaystyle {3\surd 3\text{ }+\text{ }\surd 3}$

None

11.

Which of the following numbers has a non-terminating decimal expansion?

Topic: Real Numbers

$ \displaystyle {\frac{3}{5}}$

$ \displaystyle {\frac{7}{8}}$

$ \displaystyle {\frac{1}{2}}$

$ \displaystyle {\frac{2}{3}}$

None

12.

The decimal expansion of the rational number $ \displaystyle {\frac{5}{6}}$ will:

Topic: Real Numbers

Terminate

Become zero after some time

Repeat after a finite number of digits

None of these

None

13.

Which of the following numbers is irrational?

Topic: Real Numbers

$ \displaystyle {\frac{4}{9}}$

$\displaystyle {\surd 10}$

$ \displaystyle {\frac{2}{7}}$

1.75

None

14.

Which of the following is a rational number?

Topic: Real Numbers

$ \displaystyle {\surd 7}$

$ \displaystyle {\surd 5}$

0.75

$ \displaystyle \pi $

None

15.

The sum of $ \displaystyle {\surd 3}$ and $ \displaystyle {\surd 3}$ is:

Topic: Real Numbers

$ \displaystyle {2\surd 3}$

$\displaystyle {\surd 6}$

None

16.

Which of the following fractions has a terminating decimal expansion?

Topic: Real Numbers

$\displaystyle {\frac{1}{3}}$

$ \displaystyle {\frac{1}{4}}$

$ \displaystyle {\frac{1}{7}}$

$ \displaystyle {\frac{1}{9}}$

None

17.

The decimal expansion of $ \displaystyle {\frac{8}{{11}}}$ is:

Topic: Real Numbers

Terminating

Non-terminating and repeating

Non-terminating and non-repeating

None of these

None

18.

Which of the following is the sum of two rational numbers?

Topic: Real Numbers

$ \displaystyle {\surd 2\text{ }+\text{ }3\surd 2}$

$ \displaystyle {\frac{1}{2}\text{ }+\text{ }\frac{1}{3}}$

$ \displaystyle {\pi \text{ }+\text{ }2\pi }$

$ \displaystyle {\surd 5\text{ }+\text{ }3\surd 5}$

None

19.

The product of $\displaystyle {\surd 7}$ and $\displaystyle {\surd 7}$ is:

Topic: Real Numbers

$ \displaystyle {\surd 49}$

$ \displaystyle {\surd 14}$

None

20.

Which of the following numbers has a non-terminating decimal expansion?

Topic: Real Numbers

$ \displaystyle {\frac{5}{8}}$

$\displaystyle {\frac{7}{{10}}}$

$ \displaystyle {\frac{3}{4}}$

$ \displaystyle {\frac{1}{6}}$

None

21.

The sum of $ \displaystyle {\surd 5}$ and $ \displaystyle {\surd 5}$ is:

Topic: Real Numbers

$\displaystyle {2\surd 5}$

$ \displaystyle {\surd 25}$

None

22.

Which of the following is an irrational number?

Topic: Real Numbers

$ \displaystyle {\frac{3}{7}}$

$ \displaystyle {\frac{2}{5}}$

$ \displaystyle {\frac{1}{2}}$

$ \displaystyle {\surd 11}$

None

23.

The decimal expansion of the rational number $ \displaystyle {\frac{{11}}{6}}$ will:

Topic: Real Numbers

Terminate

Become zero after some time

Repeat after a finite number of digits

None of these

None

24.

Which of the following is the product of two different irrational numbers?

Topic: Real Numbers

$ \displaystyle {\surd 2\text{ }\times \text{ }\surd 3}$

$ \displaystyle {2\surd 2\text{ }\times \text{ }3\surd 2}$

$ \displaystyle {\surd 5\text{ }\times \text{ }\surd 5}$

$ \displaystyle {\surd 7\text{ }\times \text{ }\surd 2}$

None

25.

The product of $ \displaystyle {\surd 6}$ and $ \displaystyle {\surd 6}$ is:

Topic: Real Numbers

$ \displaystyle {\surd 12}$

$ \displaystyle {\surd 36}$

None

1 out of 25

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Class 9 Practice Level 2 - Number Systems - Set 1

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