English

Which of the following is the converse of the statement?“If Billu secure good marks, then he will get a bicycle.”

Advertisements
Advertisements

Question

Which of the following is the converse of the statement?
“If Billu secure good marks, then he will get a bicycle.”

Options

  • If Billu will not get bicycle, then he will not secure good marks

  • If Billu will get a bicycle, then he will secure good marks

  • If Billu will get a bicycle, then he will not secure good marks

  • If Billu will not get a bicycle, then he will secure good marks

MCQ
Advertisements

Solution

If Billu will not get a bicycle, then he will secure good marks

Explanation:

Since the statement q → p is the converse of the statement p → q.

shaalaa.com
  Is there an error in this question or solution?
Chapter 14: Mathematical Reasoning - Solved Examples [Page 261]

APPEARS IN

NCERT Exemplar Mathematics Exemplar [English] Class 11
Chapter 14 Mathematical Reasoning
Solved Examples | Q 18 | Page 261

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.

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.

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”.

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


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.


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".

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


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

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


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:

 Only if Max studies will he pass the test.


Determine the contrapositive of the statement:

 If he has courage he will win.


Determine the contrapositive of the statement:

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


Determine the contrapositive of the statement:

Only if he does not tire will he win.


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


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 contrapositive of the following statements:

If it snows, then the weather will be cold.


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 today is Monday, then tomorrow is Tuesday.


Write down the converse of following statements:

If you go to Agra, then you must visit Taj Mahal.


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.


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


The converse of the statement “If x > y, then x + a > y + a” is ______.


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


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

q: There is a traffic jam whenever it rains.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×