Write the contrapositive and converse of the following statements.
(i) If x is a prime number, then x is odd.
(ii) If the two lines are parallel, then they do not intersect in the same plane.
(iii) Something is cold implies that it has low temperature.
(iv) You cannot comprehend geometry if you do not know how to reason deductively.
(v) x is an even number implies that x is divisible by 4.
Write the contrapositive and converse of the following statements.
(i) If x is a prime number, then x is odd.
(ii) If the two lines are parallel, then they do not intersect in the same plane.
(iii) Something is cold implies that it has low temperature.
(iv) You cannot comprehend geometry if you do not know how to reason deductively.
(v) x is an even number implies that x is divisible by 4.
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1 Answer
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This is a Mathematical Reasoning Solutions Type Questions as classified in NCERT Exemplar
(i) Contrapositive
If a number x is not odd, then x is not a prime number.
Converse
If a number x is odd, then it is a prime number.
(ii) Contrapositive
If two lines intersect in the same place, then the two lines are not parallel.
Converse
If two lines do not intersect in the same place, then they are parallel.
(iii) Contrapositive
If something does not have a low temperature, then it is not cold.
Converse
If something is at a low temperature, then it is cold.
(iv) Contrapositive
If you know how to reason deductively, then you can comprehend geo
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