You visited us 1 times! Enjoying our articles? Unlock Full Access!

Closure Property of Rational Numbers

Study the fol...

Question

Study the following statements.
Statement - 1 : Rational numbers are always closed under division.
Statement - 2 : Division by zero is not defined.
Which of the following options hold?

Both statement - 1 and statement - 2 are true.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Statement - 1 is true but statement -2 is false.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Statement - 1 is false but statement -2 is true.

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Both statement - 1 and statement - 2 are false.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B Statement - 1 is false but statement -2 is true.
Statement $1 :$ Rational number can even be simply integers which can be further represented as $\frac{p}{q}$ form. So, statement $1$ is false.
Statement $2 :$ Any number divided by $0$ is not defined. So, statement $2$ is true.

Suggest Corrections

Similar questions

C O_{2}

H_{2} O

STATEMENT - 1: $^{20} N e$ and $^{22} N e$ are isotopes.
STATEMENT - 2: Noble gases do not exist as isotopes as they are inert.

1

p

(p \neq 2)

[(2 + \sqrt{5})^{p}] - 2^{p + 1}

p

[.]

2

n

^{n} C_{1},^{n} C_{2},^{n} C_{3}, \dots,^{n} C_{n - 1}

n

Choose the correct option.

Statement $1 : (p \land \sim q) \land (\sim p \land q)$ is a fallacy.

Statement $2 : (p \Rightarrow q) \Leftrightarrow (\sim q \Rightarrow\sim p)$ is a tautology.

M n^{2 +}, C r^{3 +}, V^{3 +}

T i^{3 +}

V^{3 +}

(8)^{\frac{1}{2}} B M

Join BYJU'S Learning Program