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IMPORTANT
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Consider statement p : If two integers a and b are such that a divides b then b3-a2 is a composite number. The converse of the statement p is

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Important Questions on Mathematical Reasoning

EASY
JEE Main/Advance
IMPORTANT

Let S be a non-empty subset of R. Consider the following statement

P: There exist two irrational numbers xS and yS such that x+y is a rational number.

Negation of the statement P is

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JEE Main/Advance
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If the compound propositions (qq)r is true and p(~q) is false, then the truth values of p, q and r are respectively, 

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JEE Main/Advance
IMPORTANT

The incorrect statement of the following is

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IMPORTANT

S1: f(x) is not continuous in a, b

S2: f(x) is differentiable in a, b

S3: f'x=f(b)-f(a)b-a for at least one c(a, b)

If a function f(x) is continuous and differentiable in [a, b] then f'C=f(b)-f(a)b-a for at least c(a, b)

which of the following is equivalent to the given statement

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JEE Main/Advance
IMPORTANT

The statement [(p~q)~p]q can be

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JEE Main/Advance
IMPORTANT
Let p and q be two statements, then ~~pqpq is logically equivalent to
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JEE Main/Advance
IMPORTANT
Which of the following is False?