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प्रश्न
Determine the contrapositive of the statement:
Only if Max studies will he pass the test.
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उत्तर
If Max does not study, then he will not pass the test.
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संबंधित प्रश्न
Write the contrapositive and converse of the following statements.
x is an even number implies that x is divisible by 4
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p: A positive integer is prime only if it has no divisors other than 1 and itself.
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r: If it is hot outside, then you feel thirsty.
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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.
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If it is hot outside, then you feel thirsty.
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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".
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Rewrite of the statement in the form "p if and only if q".
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If he has courage he will win.
Determine the contrapositive of the statement:
Only if he does not tire will he win.
Check whether the statement are true or not:
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Show that the following statement is true.
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If all three sides of a triangle are equal, then the triangle is equilateral.
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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 you go to Agra, then you must visit Taj Mahal.
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 S is a cyclic quadrilateral, then the opposite angles of S are supplementary
Write down the converse of following statements:
If two triangles are similar, then the ratio of their corresponding sides are equal.
Using contrapositive method prove that if n2 is an even integer, then n is also an even integers.
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Write the statement in the form “if p, then q”.
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