Home
Class 11
MATHS
State the converse and contrapositive of...

State the converse and contrapositive of each of the following statements:(i)         p : A positive integer is prime only if it has no divisors other than 1 and itself.(ii)   q: If it is hot outside, then you feel thirsty.

Text Solution

AI Generated Solution

To solve the problem, we need to state the converse and contrapositive of the given statements. Let's break it down step by step. ### Step 1: Identify the statements We have two statements to analyze: 1. **Statement p**: A positive integer is prime only if it has no divisors other than 1 and itself. 2. **Statement q**: If it is hot outside, then you feel thirsty. ### Step 2: Define the components ...
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    NCERT ENGLISH|Exercise EXERCISE 14.5|5 Videos
  • MATHEMATICAL REASONING

    NCERT ENGLISH|Exercise EXERCISE 14.1|2 Videos
  • MATHEMATICAL REASONING

    NCERT ENGLISH|Exercise EXERCISE 14.4|4 Videos
  • LINEAR INEQUALITIES

    NCERT ENGLISH|Exercise EXERCISE 6.2|10 Videos
  • PERMUTATIONS AND COMBINATIONS

    NCERT ENGLISH|Exercise EXERCISE 7.1|6 Videos

Similar Questions

Explore conceptually related problems

Write the converse of the following statement: 'A positive integer is prime only if it has no divisors other that 1 and itself.'

State the converse and contrapositive of the following statement: A positive integer is prime only if it has no divisor other than 1 and itself.

Write the converse and contrapositive of the following statement: A positive integer is prime only if it has no divisors other than 1 and itself.

State the converse and contrapositive of the following statement: If it is hot outside, then you feel thirsty.

State the converse and contrapositive of the following statement: If a quadrilateral is a parallelogram then its diagonals bisect each other.

Determine the contrapositive of each of the following statements: (i) Only if he does not tire will he win (ii) If x is an integer and x^2 is odd, then x is odd (iii) Only if max studies will he pass the test.

Determine the contrapositive of each of the following statements: (i)If x is less than zero then x is not positive (ii)If he has courage, then he will win. (iii)It is necessary to be strong in order to be a sailor.

Write each of the following statements in the form " if p, then q ". You can access the website only if you pay a subscription fee.

Express each of the following positive integers as the product of its prime factors: (i) 140 (ii) 156 (iii) 234

Write the contrapositive and converse of the following statements.(i) If x is a prime number, then x is odd.(ii) If the two lines are parallel, then they do not intersect in the same plane, (iii) Something is cold implies that it has low temperature.(iv) You cannot comprehend geometry if you do not know how to reason deductively.(v) x is an even number implies that x is divisible by 4.