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Chapter 1 | Real Numbers | National Book Foundation

Welcome to Chapter 1 – Real Numbers (Class 9 Mathematics | NBF), your dedicated platform for mastering the fundamentals of real numbers through carefully designed, exam-focused MCQs.

Welcome to your

Chapter 1 | Real Numbers

July 9, 2026

13

Name

School

Additive inverse of $\sqrt{5}$ is:

$5$

$-5$

$\dfrac{1}{\sqrt{5}}$

$-\sqrt{5}$

None

If $a \cdot b = 1$, what is $b$ called?

multiplicative identity

multiplicative inverse of $a$

additive identity

self-multiplicative inverse

None

If $a > 0$, then $\sqrt{a}$ is

integer

real

irrational

rational

None

$\sqrt[n]{ab}$ is equal to

$\sqrt{ab}$

$(ab)^n$

$(ab)^{\frac{1}{n}}$

$n(ab)$

None

Which number is self-multiplicative inverse?

$-3$

$0$

$-1$

$3$

None

Commutative property does not hold with respect to:

subtraction

addition

both (a) and (b)

multiplication

None

Given number $\sqrt{10}\cdot\sqrt{10}$ is:

Irrational

Real

Complex

Imaginary

None

According to reflexive property: $y^2 - 17 = ?$

$-17 - y^2$

$y^2 - 17$

$y - 17$

$y^2 + 17$

None

$a^{r-s} \div a^{s}$ is

$a^{r+2s}$

$a^{r-s}$

$\dfrac{a^{r}}{a^{2s}}$

$a^{r} \cdot a^{2s}$

None

The radical form of $x^{-\frac{3}{2}}$ is:

$\dfrac{1}{\sqrt[3]{x^2}}$

$\dfrac{1}{\sqrt{x^3}}$

$\sqrt[3]{\frac{1}{x^2}}$

$\sqrt{x^3}$

None

If $a + b = a$, what is value of $b$?

$a$

$1$

$0$

$-1$

None

If $n = 8$ and $16 \times 2^{m} = 4^{\,n-8}$ then value of $m$ is:

$8$

$-2$

$-4$

$0$

None

$a(b + c - d)$ equals

$ab + ac + ad$

$ab - ac - ad$

$ac + ab - ad$

$a(b + c + d)$

None

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