Advertisements
Advertisements
Question
Determine the contrapositive of the statement:
Only if he does not tire will he win.
Solution
If he tires, then he will not win.
APPEARS IN
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.
Something is cold implies that it has low temperature.
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”.
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.
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:
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.
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:
If it is hot outside, then you feel thirsty.
State the converse and contrapositive of statement:
If you live in Delhi, then you have winter clothes.
Determine the contrapositive of the statement:
If Mohan is a poet, then he is poor.
Determine the contrapositive of the statement:
Only if Max studies will he pass the test.
Determine the contrapositive of the statement:
It never rains when it is cold.
Determine the contrapositive of the statement:
If Ravish skis, then it snowed.
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.
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 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 natural number n is divisible by 6, then n is divisible by 2 and 3.
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 a rectangle ‘R’ is a square, then R is a rhombus.
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 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 x > y, then x + a > y + a” 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.
