JEE Main Mathematics: Mathematical Reasoning Practice Questions

14 questions with answers and step-by-step solutions. Tap any question to see the full worked solution.

Q1.
$The negation of the statement '7 is greater than 5 and 8 is less than 10' is:$
Easy
Q2.
$Which of the following is not a statement in mathematical logic?$
Easy
Q3.
$The contrapositive of the statement 'If a number is divisible by 9, then it is divisible by 3' is:$
Easy
Q4.
$Which of the following statements is a tautology?$
Easy
Q5.
$The truth value of the statement 'If 2 is an even number, then 3 is a prime number' is:$
Easy
Q6.
$The negation of the statement 'If it rains, then the match will be cancelled' is:$
Medium
Q7.
$Which of the following is the contrapositive of the statement 'If x is a prime number, then x is odd'?$
Medium
Q8.
$The statement (p or q) and (not p) implies q is:$
Medium
Q9.
$The logical expression (p and q) or (not p) is equivalent to:$
Medium
Q10.
$T h es t a t e m e n t (p - > q)^{(} q - > r) - > (p - > r) i s :$
Hard
Q11.
$T h e n e g a t i o n o f t h es t a t e m e n t^{'} F or a l l r e a l n u mb er s x, i f x^{2} > 0, t h e n x > 0^{'} i s :$
Hard
Q12.
$C o n s i d er t h es t a t e m e n t : I f x i s a r e a l n u mb er s u c h t ha t x^{2} - 5 x + 6 = 0, t h e n x i s a p r im e n u mb er . W hi c h o f t h e f o l l o w in g i s t h eco n t r a p os i t i v eo f t hi ss t a t e m e$
Hard
Q13.
$T h es t a t e m e n t (p v (p^{q})) i s l o g i c a l l y e q u i v a l e n tt o w hi c h o f t h e f o l l o w in g ?$
Hard
Q14.
$Which of the following propositions is a tautology?$
Hard

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