Class 10 Practice – Level 1 – Real Numbers

Total questions: 40

The number 0.101001000100001.... is :

Topic: Real Numbers and Irrational Numbers

Rational

Irrational

An integer

None of the above

None

Which of the following fractions represents a terminating decimal?

Topic: Properties of Rational Numbers

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

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

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

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

None

The decimal representation of $ \displaystyle \frac{1}{4}$ is :

Topic: Terminating and non- Terminating Decimals

0.25

0.5

0.75

0.125

None

The LCM of 6 and 8 is :

Topic: Fundamental Theorem of Arithmetic

None

If 30 is divided by 9, the remainder is :

Topic: Euclid's Division Lemma

None

Which of the following is not a rational number?

Topic: Properties of Rational Numbers

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

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

$ \displaystyle \frac{3}{0}$

$ \displaystyle \frac{5}{9}$

None

The sum of $\displaystyle \sqrt{2}\text{ and }\sqrt{3}$ is :

Topic: Properties of Irrational Numbers

Rational

Irrational

An integer

A whole Numbers

None

The product of $ \displaystyle \sqrt{5}\text{ and }\sqrt{5}$ is :

Topic: Rational and Irrational Numbers

$ \displaystyle \sqrt{{10}}\text{ }$

$ \displaystyle \sqrt{{25}}\text{ }$

None

Which of the following is the HCF of 15 and 25?

Topic: Fundamental Theorem of Arithmetic

None

10.

If the HCF of 27 and 36 is expressed in the form of 36m -27n, then the value of m and n is :

Topic: Euclid's Division Lemma

1 and 1

2 and 3

3 and 2

4 and 1

None

11.

Which of the following numbers is a rational number?

Topic: Properties of Rational Numbers

$ \displaystyle \sqrt{{10}}$

$ \displaystyle \sqrt{{25}}$

$ \displaystyle \sqrt{{11}}$

$ \displaystyle \sqrt{{13}}$

None

12.

The decimal representation of $ \displaystyle \frac{2}{3}$ is :

Topic: Rational and Irrational Numbers

0.6666......

0.5

0.25

0.3333....

None

13.

The prime factorization of 100 is :

Topic: Fundamental Theorem of Arithmetic

$ \displaystyle {{2}^{2}}\times {{5}^{2}}$

$ \displaystyle 2\times 5\times 10$

$ \displaystyle {{2}^{3}}\times {{5}^{1}}$

$ \displaystyle {{2}^{4}}\times 5$

None

14.

The remainder when 49 is divided by 6 is :

Topic: Euclid's Division Lemma

None

15.

Which of the following is an irrational number?

Topic: Properties of Irrational Numbers

0.5

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

$ \displaystyle \sqrt{7}$

3.14

None

16.

The sum of $ \displaystyle \frac{1}{2}$ and $\displaystyle \sqrt{2}$ is :

Topic: Rational and Irrational Numbers

Rational

Irrational

An integer

An whole number

None

17.

The LCM of 9 and 12 is :

Topic: Fundamental Theorem of Arithmetic

None

18.

The remainder when 35 is divided by 8 is :

Topic: Euclid's Division Lemma

None

19.

Which of the following is not a rational number?

Topic: Properties of Rational Numbers

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

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

$ \displaystyle \frac{5}{0}$

$ \displaystyle \frac{6}{9}$

None

20.

The sum of two irrational numbers can be :

Topic: Properties of Irrational Numbers

Rational

Irrational

Always irrational

Always rational

None

21.

If the HCF of 65 and 117 is expressed in the form 65m-117,then the value of m is:

Topic: Euclid's Division Lemma

None

22.

The prime factorization of 2310 is:

Topic: Fundamental Theorem of Arithmetic

$ \displaystyle 2\times 3\times 5\times 7\times 11$

$ \displaystyle {{2}^{2}}\times {{3}^{2}}\times {{5}^{1}}\times {{7}^{1}}\times {{11}^{1}}$

$ \displaystyle {{2}^{2}}\times {{3}^{1}}\times {{5}^{1}}\times {{7}^{1}}\times {{11}^{1}}$

$ \displaystyle 2\times {{3}^{2}}\times 5\times 7\times 11$

None

23.

The decimal representation of $ \displaystyle \frac{3}{8}$ is:

Topic: Terminating and non- Terminating Decimals

0.375

0.3

0.5

0.125

None

24.

Which of the following numbers is irrational?

Topic: Rational and Irrational Numbers

$ \displaystyle \sqrt{{36}}$

$ \displaystyle \sqrt{{49}}$

$ \displaystyle \sqrt{{50}}$

$ \displaystyle \sqrt{{25}}$

None

25.

Which of the following statements is true?

Topic: Properties of Rational Numbers

Every integer is a rational number.

Every rational number is an integer.

Every irrational number is an integer.

Every real number is an irrational number.

None

26.

The decimal representation of $ \displaystyle \frac{1}{3}$ is:

Topic: Terminating and non- Terminating Decimals

0.3333...

0.5

0.25

0.125

None

27.

The least prime factor of 91 is:

Topic: Fundamental Theorem of Arithmetic

None

28.

The product of two irrational numbers is:

Topic: Rational and Irrational Numbers

Always rational

Always irrational

Sometimes rational, sometimes irrational

Always an integer

None

29.

Which of the following is a rational number?

Topic: Properties of Rational Numbers

$ \displaystyle {\sqrt{5}}$

$ \displaystyle {\sqrt{9}}$

$ \displaystyle {\sqrt{2}}$

$ \displaystyle {\sqrt{3}}$

None

30.

The remainder when 51 is divided by 7 is:

Topic: Euclid's Division Lemma

None

31.

Which of the following is a rational number?

Topic: Rational and Irrational Numbers

$ \displaystyle \sqrt{3}$

$ \displaystyle \sqrt{{16}}$

$ \displaystyle \sqrt{7}$

$ \displaystyle \sqrt{{11}}$

None

32.

The prime factorization of 84 is:

Topic: Fundamental Theorem of Arithmetic

$ \displaystyle {{2}^{2}}\times 3\times 7$

$ \displaystyle 2\times 42$

$ \displaystyle {{2}^{2}}\times 21$

$ \displaystyle {{2}^{3}}\times 3\times 7$

None

33.

The prime factorization of 60 is:

Topic: Fundamental Theorem of Arithmetic

$ \displaystyle {{2}^{2}}\times 3\times 5$

$ \displaystyle 2\times 30$

$ \displaystyle 4\times 3\times 5$

$ \displaystyle {{2}^{3}}\times 3\times 5$

None

34.

Which of the following numbers is a rational number?

Topic: Properties of Rational Numbers

$ \displaystyle \sqrt{2}$

0.121212. . .

$ \displaystyle \pi $

$ \displaystyle e$

None

35.

If the HCF of 8 and 12 is expressed in the form 8$ \displaystyle m$ - 12, then the value of m is:

Topic: Euclid's Division Lemma

None

36.

The sum of a rational number and an irrational number is:

Topic: Properties of Irrational Numbers

Always rational

Always irrational

Sometimes rational, sometimes irrational

Always an integer

None

37.

Which of the following number is irrational?

Topic: Rational and Irrational Numbers

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

$ \displaystyle \sqrt{2}$

0.5

2.25

None

38.

If the HCF of 14 and 35 is expressed in the form 14m+35n, the values of m and n are:

Topic: Euclid's Division Lemma

1 and -1

1 and 2

-1 and 2

0 and 1

None

39.

Which of the following is not property of irrational numbers?

Topic: Properties of Irrational Numbers

They cannot be expressed as a ratio of two integer.

Their decimal expansion is non- terminating and non-repeating

They are always negative.

They are real numbers

None

40.

Which of the following is not a prime number?

Topic: Fundamental Theorem of Arithmetic

None

1 out of 40

Time's up

Class 10 Practice – Level 1 – Real Numbers

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