If p: All integers are rational numbers and q: Every rational number is an integer, then which of the following statement is correct?

p is False and q is True

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

p is True and q is False

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

Both p and q are True

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

Both p and q are False

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

Open in App

Solution

The correct option is A p is True and q is False
All integers are rational number but all rational number are not integer because rational number can be integer , fraction , decimals so 'p' is true and 'q' is false.
So correct answer will be option B

Suggest Corrections

Similar questions

Which of the following statements are true and which are false ?

(i) Every whole number is a rational number

(ii) Every integer is a rational number

(iii) 0 is a whole number but it is not a rational number.

Are the following statements true or false ? Give reasons for your answer.

(i) Every whole number is a natural number.

(ii) Every integer is a rational number.

(iii) Every rational number is an integer.

(iv) Every natural number is a whole number.

(v) Every integer is a whole number.

(vi) Every rational number is a whole number.

Is zero a rational number? Can you write it in the form $\frac{p}{q}$ , where $p$ and $q$ are integers and $q \neq 0 ?$

Question 54

State whether the given statement is True or False.

If $\frac{p}{q}$ is a rational number and m is a non-zero integer, then $\frac{p \times m}{q \times m}$ is a rational number not equivalent to $\frac{p}{q}$ .

Rational numbers are those numbers which can be represented in the form $\frac{p}{q}$ ,where p & q are integers and q≠0.

Join BYJU'S Learning Program

If p: All integers are rational numbers and q: Every rational number is an integer, then which of the following statement is correct?

The correct option is A p is True and q is FalseAll integers are rational number but all rational number are not integer because rational number can be integer , fraction , decimals so 'p' is true and 'q' is false.So correct answer will be option B

The correct option is A p is True and q is False
All integers are rational number but all rational number are not integer because rational number can be integer , fraction , decimals so 'p' is true and 'q' is false.
So correct answer will be option B