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प्रश्न
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.
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उत्तर
Statement p can be written as follows.
If a positive integer is prime, then it has no divisors other than 1 and itself.
The converse of the statement is as follows.
If a positive integer has no divisors other than 1 and itself, then it is prime.
The contrapositive of the statement is as follows.
If positive integer has divisors other than 1 and itself, then it is not prime.
संबंधित प्रश्न
Write the contrapositive and converse of the following statements.
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State the converse and contrapositive of statement:
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Rewrite of the statement in the form "p if and only if q".
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If n is a natural number, then n is an integer.
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If a rectangle ‘R’ is a square, then R is a rhombus.
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Write the statement in the form “if p, then q”.
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