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प्रश्न
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.
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उत्तर
If you want to get an A+ in the class, then you do all the exercises of the book.
संबंधित प्रश्न
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.
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.
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:
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.
State the converse and contrapositive of statement:
If it is hot outside, then you feel thirsty.
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 Mohan is a poet, then he is poor.
Determine the contrapositive of the statement:
If she works, she will earn money.
Determine the contrapositive of the statement:
It never rains when it is cold.
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.
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 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 natural number n is divisible by 6, then n is divisible by 2 and 3.
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 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.
Using contrapositive method prove that if n2 is an even integer, then n is also an even integers.
The contrapositive of the statement “If 7 is greater than 5, then 8 is greater than 6” is ______.
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 contrapositive of statement ‘If Chandigarh is capital of Punjab, then Chandigarh is in India’ is ______.
