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प्रश्न
Determine the contrapositive of the statement:
It is necessary to be strong in order to be a sailor.
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उत्तर
If you are not strong, then you cannot be a sailor.
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.
Something is cold implies that it has low temperature.
Write the contrapositive and converse of the following statements.
x is an even number implies that x is divisible by 4
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”.
To get A+ in the class, it is necessary that you do the exercises of the book.
Given statements in (a) and (b). Identify the statements given below as contrapositive or converse of each other.
(a) If you live in Delhi, then you have winter clothes.
(i) If you do not have winter clothes, then you do not live in Delhi.
(ii) If you have winter clothes, then you live in Delhi.
(b) If a quadrilateral is a parallelogram, then its diagonals bisect each other.
(i) If the diagonals of a quadrilateral do not bisect each other, then the quadrilateral is not a parallelogram.
(ii) If the diagonals of a quadrilateral bisect each other, then it is a parallelogram.
State the converse and contrapositive of each of the following statements:
q: I go to a beach whenever it is a sunny day.
State the converse and contrapositive of each of the following statements:
r: If it is hot outside, then you feel thirsty.
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:
A positive integer is prime only if it has no divisors other than 1 and itself.
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:
If it snows, then they do not drive the car.
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:
q : If x, y are integers such that xy is even, then at least one of x and y is an even integer.
Which of the following is the converse of the statement?
“If Billu secure good marks, then he will get a bicycle.”
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 natural number n is divisible by 6, then n is divisible by 2 and 3.
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 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 all three angles of a triangle are equal, then the triangle is equilateral.
Write down the converse of following statements:
If x : y = 3 : 2, then 2x = 3y.
The contrapositive of the statement “If 7 is greater than 5, then 8 is greater than 6” is ______.
The statement “If x2 is not even, then x is not even” is converse of the statement ______.
Write the statement in the form “if p, then q”.
q: There is a traffic jam whenever it rains.
