English

State the Converse and Contrapositive of Statement: If It is Hot Outside, Then You Feel Thirsty. - Mathematics

Advertisements
Advertisements

Question

State the converse and contrapositive of  statement:

If it is hot outside, then you feel thirsty.

Advertisements

Solution

Converse of the given statement:
If you feel thirsty, then it is hot outside.
Contrapositive of the given statement:
If you do not feel thirsty, then it is not hot outside.

shaalaa.com
  Is there an error in this question or solution?
Chapter 31: Mathematical reasoning - Exercise 31.5 [Page 21]

APPEARS IN

RD Sharma Mathematics [English] Class 11
Chapter 31 Mathematical reasoning
Exercise 31.5 | Q 2.1 | Page 21

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

Rewrite the following statement with “if-then” in five different ways conveying the same meaning.

If a natural number is odd, then its square is also odd.


Write the contrapositive and converse of the following statements.

It the two lines are parallel, then they do not intersect in the same plane.


Write the contrapositive and converse of the following statements.

Something is cold implies that it has low temperature.


Write the contrapositive and converse of the following statements.

You cannot comprehend geometry if you do not know how to reason deductively.


Write each of the following statement in the form “if-then”.

The Banana trees will bloom if it stays warm for a month.


Write each of the following statement in the form “if-then”.

A quadrilateral is a parallelogram if its diagonals bisect each other.


Write each of the following statement in the form “if-then”.

To get A+ in the class, it is necessary that you do the exercises of the book.


State the converse and contrapositive of each of the following statements:

r: If it is hot outside, then you feel thirsty.


Re write each of the following statements in the form “p if and only if q”.

q: For you to get an A grade, it is necessary and sufficient that you do all the homework regularly.


Re write each of the following statements in the form “p if and only if q”.

r: If a quadrilateral is equiangular, then it is a rectangle and if a quadrilateral is a rectangle, then it is equiangular.


Given below are two statements

p: 25 is a multiple of 5.

q: 25 is a multiple of 8.

Write the compound statements connecting these two statements with “And” and “Or”. In both cases check the validity of the compound statement.


Rewrite of the  statement in the form "p if and only if q".

 p : If you watch television, then your mind is free and if your mind is free, then you watch television.


Rewrite of the  statement in the form "p if and only if q".

 s : If a tumbler is half empty, then it is half full and if a tumbler is half full, then it is half empty.


Determine the contrapositive of the statement:

 If Mohan is a poet, then he is poor.


Determine the contrapositive of the statement:

 Only if Max studies will he pass the test.


Determine the contrapositive of the statement:

If it snows, then they do not drive the car.


Determine the contrapositive of the statement:

 It never rains when it is cold.


Determine the contrapositive of the statement:

 If Ravish skis, then it snowed.


Determine the contrapositive of the statement:

 It is necessary to be strong in order to be a sailor.


Check whether the statement are true or not: 

p : If x and y are odd integers, then x + y is an even integer.


Check whether the statement are true or not: 

 q : If xy are integers such that xy is even, then at least one of x and y is an even integer.


Show that the following statement is true.
p: For any real numbers x, y if x = y, then 2x + a = 2y + a when a ∈ Z.


Write down the contrapositive of the following statements:

If n is a natural number, then n is an integer.


Write down the contrapositive of the following statements:

If all three sides of a triangle are equal, then the triangle is equilateral.


Write down the contrapositive of the following statements:

If x and y are negative integers, then xy is positive.


Write down the converse of following statements:

If a rectangle ‘R’ is a square, then R is a rhombus.


Write down the converse of following statements:

If the sum of squares of two sides of a triangle is equal to the square of third side of a triangle, then the triangle is right-angled.


Write down the converse of following statements:

If S is a cyclic quadrilateral, then the opposite angles of S are supplementary


Write down the converse of following statements:

If x is zero, then x is neither positive nor negative.


Write down the converse of following statements:

If two triangles are similar, then the ratio of their corresponding sides are equal.


The converse of the statement “If sun is not shining, then sky is filled with clouds” is ______.


The contrapositive of the statement “If p, then q”, is ______.


The statement “If x2 is not even, then x is not even” is converse of the statement ______.


The contrapositive of statement ‘If Chandigarh is capital of Punjab, then Chandigarh is in India’ is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×