Class 9 Practice Level 2 - Number Systems - Set 2

Total questions: 25

Which of the following expressions represents an irrational number?

Topic: Real Numbers

$ \displaystyle {2\surd 2}$

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

$ \displaystyle {\frac{5}{6}}$

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

None

The decimal expansion of the rational number $ \displaystyle {\frac{{19}}{{20}}}$ 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 numbers is irrational?

Topic: Real Numbers

1.5

2.25

0.01

$\displaystyle {\surd 13}$

None

Which of the following is a rational number?

Topic: Real Numbers

$\displaystyle {\surd 8}$

$\displaystyle {\surd 3}$

0.333...

$ \displaystyle \pi $

None

The sum of $ \displaystyle {\surd 2}$ and $ \displaystyle {\surd 8}$ is:

Topic: Real Numbers

$ \displaystyle {3\surd 2}$

$\displaystyle {\surd 10}$

$ \displaystyle {2\surd 2}$

None

Which of the following fractions has a terminating decimal expansion?

Topic: Real Numbers

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

$ \displaystyle {\frac{5}{{12}}}$

$ \displaystyle {\frac{7}{{25}}}$

$ \displaystyle {\frac{{11}}{{30}}}$

None

The decimal expansion of $ \displaystyle {\frac{9}{{11}}}$ is:

Topic: Real Numbers

Terminating

Non-terminating and repeating

Non-terminating and non-repeating

None of these

None

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

Topic: Real Numbers

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

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

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

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

None

The product of $ \displaystyle {\surd 4}$ and $ \displaystyle {\surd 9}$ is:

Topic: Real Numbers

$ \displaystyle {\text{2}\surd 9}$

$ \displaystyle {\surd 36}$

None

10.

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

Topic: Real Numbers

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

$\displaystyle {\frac{7}{{5}}}$

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

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

None

11.

The sum of $ \displaystyle \surd 6$ and $ \displaystyle \surd 6$ is:

Topic: Real Numbers

$ \displaystyle \text{2}\surd 6$

$ \displaystyle \surd 36$

None

12.

Which of the following is an irrational number?

Topic: Real Numbers

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

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

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

$ \displaystyle {\surd 12}$

None

13.

The decimal expansion of the rational number $ \displaystyle \frac{{17}}{5}$ will:

Topic: Real Numbers

Terminate

Become zero after some time

Repeat after a finite number of digits

None of these

None

14.

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

Topic: Real Numbers

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

$ \displaystyle {1/2\text{ }\times \text{ }2/3}$

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

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

None

15.

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

Topic: Real Numbers

$\displaystyle {\surd 14}$

$ \displaystyle {\surd 49}$

None

16.

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

Topic: Real Numbers

$ \displaystyle \frac{3}{8}$

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

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

$ \displaystyle \frac{4}{7}$

None

17.

The sum of $\displaystyle \surd 8$ and $\displaystyle \surd 8$ is:

Topic: Real Numbers

$ \displaystyle {3\surd 2}$

$ \displaystyle {2\surd 2}$

$ \displaystyle {2\surd 8}$

None

18.

Which of the following is an irrational number?

Topic: Real Numbers

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

$ \displaystyle \frac{4}{5}$

$ \displaystyle \frac{7}{9}$

$ \displaystyle {\surd 15}$

None

19.

The decimal expansion of the rational number $\displaystyle \frac{7}{6}$ will:

Topic: Real Numbers

Terminate

Become zero after some time

Repeat after a finite number of digits

None of these

None

20.

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

Topic: Real Numbers

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

$\displaystyle 2\sqrt{2}\times 3$

$\displaystyle \sqrt{5}\times 4$

$\displaystyle \sqrt{7}\times \sqrt{4}$

None

21.

The product of $ \displaystyle {\surd 8}$ and $ \displaystyle {\surd 2}$ is:

Topic: Real Numbers

3 √8

$ \displaystyle {\surd 4}$

$ \displaystyle {\text{2}\surd 8}$

None

22.

Which of the following expressions represents a rational number?

Topic: Real Numbers

$ \displaystyle {3\surd 2}$

√9

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

$ \displaystyle 1\text{ + }\surd 3$

None

23.

The decimal expansion of the rational number $ \displaystyle \frac{{29}}{{50}}$ 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 sum of two rational numbers?

Topic: Real Numbers

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

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

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

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

None

25.

The product of $ \displaystyle {\surd 3}$ and $ \displaystyle {\surd 12}$ is:

Topic: Real Numbers

$ \displaystyle {\surd 25}$

$ \displaystyle {\surd 15}$

None

1 out of 25

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Class 9 Practice Level 2 - Number Systems - Set 2

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