Mathematical Reasoning questions
174 published questions with worked solutions.
- Consider the statement "The match will be played only if the weather is good and ground is not wet". Select the correct negation...Not in JEE syllabus
- The Boolean expression (p q) (q p) is equivalent to :Not in JEE syllabus
- Consider the two statements: (S1): (p q) ( q p) is a tautology. (S2): (p q) ( p q) is a fallacy. Then :Not in JEE syllabus
- If the truth value of the boolean expression ((p q) (q r) ( r)) (p q) is false, then the truth values of the statements p, q, r...Not in JEE syllabus
- Let F_1(A,B,C)=(A B) [ C (A B)] A and F_2(A,B)=(A B) (B A) be two logical expressions. Then :Not in JEE syllabus
- The number of choices for , , , , such that (p q) ((p ~q) ((~p) q)) is a tautology, is -Not in JEE syllabus
- Consider the following two propositions: P_ 1 : ~(p ~q), P_ 2 : (p ~q) ((~p) q). If the proposition p ((~p) q) is evaluated as...Not in JEE syllabus
- Negation of the Boolean expression p (q p) isNot in JEE syllabus
- The statement (~(p ~q)) q is :Not in JEE syllabus
- Let r p, q, ~p, ~q be such that the logical statement r (~p) (p q) r is a tautology. Then r is equal to :Not in JEE syllabus
- The negation of the expression q (( ) ) is equivalent toNot in JEE syllabus
- Among the statements: (S1) : (p q) (( p) q) is tautology (S2) : (q p) (( p) q) is a contradictionNot in JEE syllabus
- If the truth value of the statement (P (∼R)) ((∼R) Q) is F, then the truth value of which of the following is F ?Not in JEE syllabus
- (p r) (p (∼q)) is equivalent to (∼p) when r isNot in JEE syllabus
- The boolean expression (∼(p q)) q is equivalent to:Not in JEE syllabus
- Let the operations ∗, ⊙ , . If (p ∗ q) ⊙ (p ⊙ ∼q) is a tautology, then the ordered pair (∗, ⊙) isNot in JEE syllabus
- The maximum number of compound propositions, out of p r s, p r ~s, p ~r s, ~p ~r s, ~p ~r ~s, ~p q ~s, q r ~s, q ~r ~s, ~p ~q ~s...Not in JEE syllabus
- Let p, q, r be three logical statements. Consider the compound statements S_ 1 : ((∼p) q) ((∼p) r) and S_ 2 : p (q r). Then,...Not in JEE syllabus
- Let , , , be such that (p q) ((p q) q) is a tautology. Then is equal to :Not in JEE syllabus
- Negation of (p q) (q p) isNot in JEE syllabus
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