wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Which of the following is the inverse of the proposition: “If a number is a prime then it is odd”?


A

If a number is not a prime then it is odd

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

If a number is not a prime then it is not odd

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

If a number is not odd then it is not a prime

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

If a number is not odd then it is a prime

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

The correct option is B

If a number is not a prime then it is not odd


Explanation for the correct option:

Natural number: Natural numbers are the numbers that are used to count and arrange things.
It begins at 1 and ends at infinity.

Whole number: The whole numbers are natural numbers including zero.

Prime number: Natural numbers that are divisible only by 1 and the number themselves are known as prime numbers.

Odd number: Odd numbers are whole numbers that cannot be divided by two to produce two equal whole numbers.

Given, “If a number is a prime then it is odd”.

The inverse of the proposition of the part “If a number is a prime” is If a number is not a prime.

The inverse of the proposition of the part “then it is odd” is then it is not odd.

Therefore, we get the total inverse of the proposition is if a number is not a prime then it is not odd.

Hence, the correct option is option (B).


flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Logical Connectives
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon