हिंदी

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

Advertisements
Advertisements

प्रश्न

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

विकल्प

  • If q, then p

  • If p, then ~ q

  • If ~ q, then ~ p

  • If ~ p, then ~ q

MCQ
रिक्त स्थान भरें
Advertisements

उत्तर

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

Explanation:

Here the statement is “If p, then q”

i.e. p → q

Contrapositive of the statement p → q is (~ q) → (~ p)

i.e., If ~ q, then ~ p.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 14: Mathematical Reasoning - Exercise [पृष्ठ २६८]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 11
अध्याय 14 Mathematical Reasoning
Exercise | Q 30 | पृष्ठ २६८

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

Write the contrapositive and converse of the following statements.

If x is a prime number, then x is 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.

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


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

You get a job implies that your credentials are good.


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

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


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

q: I go to a beach whenever it is a sunny day.


Write the statement in the form “if p, then q”.

r: You can access the website only if you pay a subscription fee.


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.


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.


State the converse and contrapositive of  statement:

I go to a beach whenever it is a sunny day.


State the converse and contrapositive of  statement:

If you live in Delhi, then you have winter clothes.


State the converse and contrapositive of  statement:

 If a quadrilateral is a parallelogram, then its diagonals bisect each other.

 

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 it snows, then they do not drive the car.


Determine the contrapositive of the statement:

If x is less than zero, then x is not positive.


Determine the contrapositive of the statement:

Only if he does not tire will he win.


Determine the contrapositive of the statement:

 If x is an integer and x2 is odd, then x is odd.

 

Check whether the statement are true or not: 

p : If x and y are odd integers, then x + 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 x = y and y = 3, then x = 3.


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 it snows, then the weather will be cold.


Write down the contrapositive of the following statements:

If x is a real number such that 0 < x < 1, then x2 < 1.


Write down the converse of following statements:

If today is Monday, then tomorrow is Tuesday.


Write down the converse of following statements:

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


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.


Using contrapositive method prove that if n2 is an even integer, then n is also an even integers.


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