Q. 125.0( 1 Vote )

Show that t

Answer :

Let the statements,


p: Integer n is even


q: If n2 is even


Let p be true.


Then


Let n = 2k


Squaring both the sides, we get,


n2 = 4k2


n2 = 2.2k2


Therefore, n2 is an even number.


So, q is true when p is true.


Hence, the statement is true.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
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
caricature
view all courses
RELATED QUESTIONS :

Use contradictionRS Aggarwal - Mathematics

By giving a countRS Aggarwal - Mathematics

Consider the statRS Aggarwal - Mathematics

Let p : If x is aRS Aggarwal - Mathematics

Check the validitMathematics - Exemplar

Check the validitMathematics - Exemplar

Prove the followiMathematics - Exemplar