Advertisements
Advertisements
प्रश्न
Write down the contrapositive of the following statements:
If it snows, then the weather will be cold.
उत्तर
We know that the contrapositive of p → q is (~ q) → (~ p)
The weather will not be cold, if it does not snow.
APPEARS IN
संबंधित प्रश्न
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 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.
State the converse and contrapositive of each of the following statements:
p: A positive integer is prime only if it has no divisors other than 1 and itself.
Re write each of the following statements 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.
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:
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.
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".
r : For you to get an A grade, it is necessary and sufficient that you do all the homework regularly.
Determine the contrapositive of the statement:
If she works, she will earn money.
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 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 x = y and y = 3, then x = 3.
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 x is a real number such that 0 < x < 1, then x2 < 1.
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 x : y = 3 : 2, then 2x = 3y.
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 ______.
Write the statement in the form “if p, then q”.
q: There is a traffic jam whenever it rains.