Home
Class 12
MATHS
Write the contrapositive of the followin...

Write the contrapositive of the following statement
(i) If a quandrilateral is rectangle then it is a parallelogram
(ii) If a number is even , then it is divisble by 2
(iii) If end digit of a number is 0 , then it is divisble by 10

Text Solution

Verified by Experts

(i) We known that contra positive of if p then q is . It ~q then ~p , so ,contrapositive of statement (i) is . If a quandrilateral is not parallelogram then it is not a rectangle
(ii) If a number is not divisble by 2 , then it is not even
(iii) If a number is not divisble by 10 , then the end digit of the number is not
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    AAKASH INSTITUTE|Exercise Try Yourself|18 Videos
  • MATHEMATICAL REASONING

    AAKASH INSTITUTE|Exercise Assignment (SECTION-A) (Objective type Questions (Only one answer))|50 Videos
  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE|Exercise Section - j|3 Videos
  • MATRICES

    AAKASH INSTITUTE|Exercise Assignment (Section - J) Aakash Challengers Questions|3 Videos

Similar Questions

Explore conceptually related problems

Write contrapositive of the following statement (i) If an Indian is working in America then he was a working visa (ii) If a number is divisible by 10 then it is divisiblw by 5 (iii) If a number p is prime number , then sqrt5 is irrational number

Write the contrapositive and converse of the following statements. If x is a prime number, then x is odd.

Write the contrapositive of the following statements : (i) if you born in india, then you are a citizen of India. (ii) If a triangle is equilateral, then it is isosceles.

Write the converse of the following statement (i) If a number n is odd , then n^2 is odd If a number is divisble by 6 , then it is divisble by both 2 and 3 (iii) If root3a is an irrational number then a is not a perfect cube

Write the contrapositive of the statement : "If n is a prime number, then n is even".

Given below are some pairs of statements. Combine each pair using if and only if: (i) p: If a quadrilateral-is equiangular, then it is a rectangle. q: If a quadrilateral is a rectangle, then it is equiangular. (ii) p: If the sum of the digits of a number is divisible by 3, then the number is divisible by 3. q: If a number is divisble by 3, then the sum of its digits is divisible by 3. (iii) p: A quadrilateral is a parallelogram if its diagonals bisect each other. q: If the diagonals of a quadrilateral bisect each other, then it is a parallelogram. (iv) p: If f(a) = 0, then (x -a) is a factor of polynomial f(x). q: If (x-a) is a factor of polynomial f(x), thenf(a) = 0. (v) p: If a square matrix A is invertible, then |A| is nonzero. q: If A is a square matrix such that |A| is nonzero, then A is invertible.

Which of the following is true? (i) If p is a statement then ~p is not a statement (ii) If p is a statement then ~p is also a statement (iii) Negation of p : 0 is a positive number is, 0 is a negative number

Given below are two pairs of statement . Combine these two statement using " if and only if " (i) p : If a rhombus is a square , then all its angles are 90^@ q : If all the angles of a rhombus are 90^@ , then it is sqaure (ii) p : If the sum of digit of a number is divisble by 9 , then the number is divisble by 9 q : If a number is divisble by 9 , then the sum of its digit is divisble by 9