Q. 95.0( 1 Vote )

# Write down the contrapositive of the following statements:(i) If x = y and y = 3, then x = 3.(ii) If n is a natural number, then n is an integer.(iii) If all three sides of a triangle are equal, then the triangle is equilateral.(iv) If x and y are negative integers, then xy is positive.(v) If natural number n is divisible by 6, then n is divisible by 2 and 3.(vi) If it snows, then the weather will be cold.(vii) If x is a real number such that 0 < x < 1, then x2 < 1.

(i) Definition of contrapositive: A conditional statement is logically equivalent to its contrapositive.

Contrapositive: If x≠3, then x ≠ y or y≠3

(ii) Definition of contrapositive: A conditional statement is logically equivalent to its contrapositive.

Contrapositive: If n is not an integer, then it is not a natural number.

(iii) Definition of contrapositive: A conditional statement is logically equivalent to its contrapositive.

Contrapositive: If the triangle is not equilateral, then all three sides of the triangle are not equal.

(iv) Definition of contrapositive: A conditional statement is logically equivalent to its contrapositive.

Contrapositive: if xy is not positive integer, then x or y is not negative integer.

(v) Definition of contrapositive: A conditional statement is logically equivalent to its contrapositive.

Contrapositive: If natural number ‘n’ is not divisible by 2 or 3, then n is not divisible by 6.

(vi) Definition of contrapositive: A conditional statement is logically equivalent to its contrapositive.

Contrapositive: The weather will not be cold, if it does not snow.

(vii) Definition of contrapositive: A conditional statement is logically equivalent to its contrapositive.

Contrapositive: If x2>1 then, x is not a real number such that 0<x<1.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Scalar and Vector Product49 mins
Take the challenge, Quiz on Vectors37 mins
Vectors- Cosine & SIne Rule54 mins
Interactive Quiz on vector addition and multiplications38 mins
Scalar and vector product in one shot56 mins
Revise Complete Vectors & it's application in 50 Minutes51 mins
Unit Vectors24 mins
Quick Revision of Vector Addition and Multiplications37 mins
Quiz | Vector Addition and Multiplications35 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses