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Consider statement : If two integers and are such that a divides then is a composite number. The converse of the statement is
(a)If two integers and are such that is a composite number then a divides
(b)If a divides then are integers and is a composite number.
(c)If is a composite number then are integers and a divides
(d)If are integers and a does not divide then is not a composite number.

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Important Questions on Mathematical Reasoning
EASY
JEE Main/Advance
IMPORTANT
Let be a non-empty subset of Consider the following statement
: There exist two irrational numbers and such that is a rational number.
Negation of the statement is

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IMPORTANT
If the compound propositions is true and is false, then the truth values of and are respectively,

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JEE Main/Advance
IMPORTANT
The incorrect statement of the following is

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IMPORTANT
is not continuous in
is differentiable in
for at least one
If a function is continuous and differentiable in then for at least
which of the following is equivalent to the given statement

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JEE Main/Advance
IMPORTANT
The statement can be

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JEE Main/Advance
IMPORTANT
Let and be two statements, then is logically equivalent to

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JEE Main/Advance
IMPORTANT
Which of the following is False?
