Class 10 Quiz Level 2 (Moderate) – Real Numbers

Total questions: 20

Which of the following fractions has a terminating decimal representation ?

Topic: Properties of Rational Numbers

Deselect Answer

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

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

$ \displaystyle \frac{8}{{15}}$

$ \displaystyle \frac{3}{{13}}$

None

If the HCF of two numbers is 1, what can be said about their realtion?

Topic: Euclid's Division Lemma

Deselect Answer

They are prime numbers.

They are co-prime number.

They are even numbers.

they are odd numbers.

None

The smallest number that can be expressed as the sum of two cubes in the different ways is :

Topic: Fundamental Theorem of Arithmetic

Deselect Answer

1729

729

None

Which of the following is a terminating decimal?

Topic: Properties of Rational Numbers

Deselect Answer

$ \displaystyle \frac{7}{{20}}$

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

$ \displaystyle \frac{4}{{11}}$

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

None

The remainder when 58 is divided by 7 is :

Topic: Euclid's Division Lemma

Deselect Answer

None

The sum of squares of any two consecutive odd number is always divisible by:

Topic: Fundamental Theorem of Arithmetic

Deselect Answer

None

If the quotient obtained on dividing a number by 11 is 5 and the remainder is 4, then the number is :

Topic: Euclid's Division Lemma

Deselect Answer

None

The prime factorization of 126 is ;

Topic: Fundamental Theorem of Arithmetic

Deselect Answer

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

$ \displaystyle 2\times 9\times 7$

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

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

None

If the product of two numbers is 6 and their sum is $ \displaystyle \sqrt{{20}}$ , then these two numbers must be:

Topic: Rational and Irrational Numbers

Deselect Answer

Rational

Irrational

One rational and one irrational

Prime

None

10.

Which of the following is a prime factor of 210?

Topic: Fundamental Theorem of Arithmetic

Deselect Answer

None

11.

If $ \displaystyle \sqrt{{50}}-\sqrt{{32}}$ is simplified, what is the result?

Topic: Properties of Irrational Numbers

Deselect Answer

Rational

Irrational

Prime

Composite

None

12.

Find the smallest number that, when divided by 6, 8, and 12, leaves a remainder of 2 in each case.

Topic: Fundamental Theorem of Arithmetic

Deselect Answer

None

13.

The difference between $ \displaystyle \sqrt{{18}}\text{ and }\sqrt{8}$ is:

Topic: Properties of Irrational Numbers

Deselect Answer

Rational

Irrational

Whole number

Even number

None

14.

If the decimal representation of $ \displaystyle \frac{7}{{125}}$ is terminated after three decimal places, what is the resulting number ?

Topic: Properties of Rational Numbers

Deselect Answer

0.056

0.058

0.054

0.064

None

15.

Which of the following expressions results in an irrational number?

Topic: Properties of Irrational Numbers

Deselect Answer

$ \displaystyle \sqrt{3}\times \sqrt{{12}}$

$ \displaystyle \sqrt{2}\times \sqrt{8}$

$ \displaystyle \sqrt{5}\times \sqrt{{20}}$

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

None

16.

How many prime factors are there in the prime factorization of 1800?

Topic: Fundamental Theorem of Arithmetic

Deselect Answer

None

17.

Determine the smallest number divisible by 10, 12, and 15.

Topic: Fundamental Theorem of Arithmetic

Deselect Answer

120

180

360

None

18.

If $ \displaystyle a\text{ and }b$ are positive integers such that $ \displaystyle a={{2}^{3}}\times 3\times {{5}^{2}}\text{ and }b={{\text{2}}^{2}}\times {{3}^{2}}\times 5,\text{ then find the HCF of }a\text{ and }b\text{.}$

Topic: Fundamental Theorem of Arithmetic

Deselect Answer

120

180

None

19.

If $ \displaystyle \sqrt{2}$ is multiplied by $ \displaystyle 2\sqrt{2}$, what is the result?

Topic: Properties of Irrational Numbers

Deselect Answer

None

20.

Simplify $ \displaystyle 3\sqrt{2}\times 4\sqrt{2}.$

Topic: Properties of Irrational Numbers

Deselect Answer

None

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Class 10 Quiz Level 2 (Moderate) – Real Numbers

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