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Recent questions tagged implications-(tautology-contradiction.)
Questions
The statement $\sim(p \leftrightarrow \sim q)$ is
jeemain
math
class11
ch14
mathematical-reasoning
jeemain-2014
implications-(tautology-contradiction.)
q38
asked
Apr 6, 2014
by
balaji.thirumalai
1
answer
Statement-1: $(p \wedge \sim q) \wedge (\sim p \wedge q)$ is a fallacy, and Statement-2 : $(p \rightarrow q) \leftrightarrow (\sim q \rightarrow \sim p)$ is a tautology. Given these two statements, which of the following is true?
jeemain
math
class11
ch14
mathematical-reasoning
implications-(tautology-contradiction.)
medium
asked
Mar 20, 2014
by
balaji.thirumalai
1
answer
Which of the following are tautologies and which are contradictions?
jeemain
math
class11
ch14
mathematical-reasoning
implications-(tautology-contradiction.)
easy
asked
Mar 20, 2014
by
balaji.thirumalai
1
answer
Choose the correct answer. The statement $p \rightarrow (q \rightarrow p)$ is equivalent to which of the following?
jeemain
math
class11
mathematical-reasoning
ch14
implications-(tautology-contradiction.)
easy
asked
Mar 20, 2014
by
balaji.thirumalai
1
answer
The proposition $(P \vee Q) \vee (\sim P \wedge \sim Q)$ is a:
jeemain
math
class11
mathematical-reasoning
ch14
implications-(tautology-contradiction.)
medium
asked
Mar 20, 2014
by
balaji.thirumalai
1
answer
$^{\sim}(p \Rightarrow q)$ is equivalent to
jeemain
math
mathematical-reasoning
class11
ch14
difficult
implications-(tautology-contradiction.)
q30
asked
Jan 24, 2014
by
thanvigandhi_1
1
answer
$ ^{\sim}(p V q)$ is equivalent to
jeemain
math
mathematical-reasoning
class11
ch14
difficult
implications-(tautology-contradiction.)
q27
asked
Jan 24, 2014
by
thanvigandhi_1
1
answer
$ ^{\sim}(p \wedge q)$ is equivalent to
jeemain
math
mathematical-reasoning
class11
ch14
difficult
implications-(tautology-contradiction.)
q26
asked
Jan 24, 2014
by
thanvigandhi_1
1
answer
$ ^{\sim}(p \leftrightarrow q)$ is equivalent to
jeemain
math
mathematical-reasoning
class11
ch14
difficult
implications-(tautology-contradiction.)
q25
asked
Jan 23, 2014
by
thanvigandhi_1
1
answer
$(p \wedge\: ^{\sim}q) \wedge (^{\sim}p V q)$ is
jeemain
math
mathematical-reasoning
class11
ch14
difficult
implications-(tautology-contradiction.)
q24
asked
Jan 23, 2014
by
thanvigandhi_1
1
answer
$ ^{\sim}[(p \wedge q) \rightarrow (^{\sim}p V q)]$ is
jeemain
math
mathematical-reasoning
class11
ch14
difficult
implications-(tautology-contradiction.)
q23
asked
Jan 23, 2014
by
thanvigandhi_1
1
answer
If p,q,r are simple propositions, then $(p \wedge q) \wedge (q \wedge r)$ is true, then
jeemain
math
mathematical-reasoning
class11
ch14
difficult
implications-(tautology-contradiction.)
q22
asked
Jan 23, 2014
by
thanvigandhi_1
1
answer
If p, q, r are simple propositions with truth values T,F,T then the truth value of $ [(^{\sim}p Vq) \wedge ^{\sim}r] \Rightarrow p$ is
jeemain
math
mathematical-reasoning
class11
ch14
difficult
implications-(tautology-contradiction.)
q21
asked
Jan 23, 2014
by
thanvigandhi_1
1
answer
The statement $ p V q \Rightarrow \: p \wedge q$ is a
jeemain
math
mathematical-reasoning
class11
ch14
difficult
implications-(tautology-contradiction.)
q20
asked
Jan 23, 2014
by
thanvigandhi_1
1
answer
The contrapositive of $ (p V q) \Rightarrow r$ is
jeemain
math
mathematical-reasoning
class11
ch14
difficult
implications-(tautology-contradiction.)
q19
asked
Jan 23, 2014
by
thanvigandhi_1
1
answer
If a,b,c are the sides of a triangle, then the statement, “$ \large\frac{1}{(b+c)},\: \large\frac{1}{(c+a)},\: \large\frac{1}{(a+b)}$ are also the sides of the triangle”, is
jeemain
math
mathematical-reasoning
class11
ch14
difficult
implications-(tautology-contradiction.)
q18
asked
Jan 23, 2014
by
thanvigandhi_1
1
answer
If p : It rains today. q : I go to school. r : I shall meet my friends. s : I shall go for a movie. Then which of the following is the proportionate representation of the statement, If it does not rain or if I do not go to school, then I shall meet my friends and go for a movie.
jeemain
math
mathematical-reasoning
class11
ch14
difficult
implications-(tautology-contradiction.)
q16
asked
Jan 23, 2014
by
thanvigandhi_1
1
answer
The proposition $ (p \Rightarrow \: ^{\sim}p) \wedge (^{\sim}p \Rightarrow p)$ is a
jeemain
math
mathematical-reasoning
class11
ch14
difficult
implications-(tautology-contradiction.)
q14
asked
Jan 23, 2014
by
thanvigandhi_1
1
answer
Which one of the following is a fallacy?
jeemain
math
mathematical-reasoning
class11
ch14
difficult
implications-(tautology-contradiction.)
q13
asked
Jan 23, 2014
by
thanvigandhi_1
1
answer
If $ \phi(x) = f(x) + f(1-x), f’(x)<0 \: for\: 0 \leq x \leq 1$, then the tautology among the following is
jeemain
math
mathematical-reasoning
class11
ch14
difficult
implications-(tautology-contradiction.)
q12
asked
Jan 23, 2014
by
thanvigandhi_1
1
answer
The proposition $ p \Rightarrow ^{\sim}(p \wedge\: ^{\sim}q)$ is
jeemain
math
mathematical-reasoning
class11
ch14
difficult
implications-(tautology-contradiction.)
q11
asked
Jan 23, 2014
by
thanvigandhi_1
1
answer
The first two terms of a geometric progression add up to 12. The terms of the G.P. are alternately positive and negative.The statement - The sum of the third and the fourth terms is 48 holds true for the first term being
jeemain
math
mathematical-reasoning
class11
ch14
difficult
implications-(tautology-contradiction.)
q9
asked
Jan 23, 2014
by
thanvigandhi_1
1
answer
Let p be the statement “x is an irrational number”, q be the statement “y is a transcendental number” and r be the statement “x is a rational number iff y is a transcendental number”. \[\] S1 : r is equivalent to either q or p \[\] S2 : r is equivalent to $ ^{\sim}(p \leftrightarrow \: ^{\sim}q)$
jeemain
math
mathematical-reasoning
class11
ch14
difficult
implications-(tautology-contradiction.)
q8
asked
Jan 22, 2014
by
thanvigandhi_1
1
answer
S1:$ ^{\sim} (p \leftrightarrow\: ^{\sim} q)$ is equivalent to $p \leftrightarrow q.$ \[\] S2 :$ ^{\sim} (p\leftrightarrow \: ^{\sim} q)$ is a tautology.
jeemain
math
mathematical-reasoning
class11
ch14
difficult
implications-(tautology-contradiction.)
q7
asked
Jan 22, 2014
by
thanvigandhi_1
1
answer
Given : $P(x) =x^4 + ax^3 + bx^2 + cx + d$ such that $x=0$ is the real root of $P'(x)=0$. If $P(-1) < P(1)$, then in the interval $[-1, 1]$, which of the following statement is wrong.
jeemain
math
mathematical-reasoning
class11
ch14
difficult
implications-(tautology-contradiction.)
q6
asked
Jan 22, 2014
by
thanvigandhi_1
1
answer
What is true about the statement "If two angles are right angles, the angles have equal measure" and its converse "If two angles have equal measure then the two angles are right angles"?
jeemain
math
mathematical-reasoning
class11
ch14
difficult
implications-(tautology-contradiction.)
q2
asked
Jan 22, 2014
by
thanvigandhi_1
1
answer
Let A={2,3,5,7}. For which of the sets, truth value is true?
jeemain
math
mathematical-reasoning
class11
ch14
medium
implications-(tautology-contradiction.)
q38
asked
Jan 21, 2014
by
thanvigandhi_1
1
answer
What is the converse of the statement: n is divisible by 3, if the sum of digits of n is divisible by 3?
jeemain
math
mathematical-reasoning
class11
ch14
medium
implications-(tautology-contradiction.)
q37
asked
Jan 20, 2014
by
thanvigandhi_1
1
answer
What is the contrapositive of the statement: If $f(2)=0$, then $ f(x)$ is divisible by $(x-2)$?
jeemain
math
mathematical-reasoning
class11
ch14
medium
implications-(tautology-contradiction.)
q36
asked
Jan 20, 2014
by
thanvigandhi_1
1
answer
What is the converse of the statement: If $x-4 = 5$, then $x=9$?
jeemain
math
mathematical-reasoning
class11
ch14
medium
implications-(tautology-contradiction.)
q35
asked
Jan 20, 2014
by
thanvigandhi_1
1
answer
What is the contradiction of the statement: In $ \Delta ABC,\: if\: AB=AC$, then angles $C=B$?
jeemain
math
mathematical-reasoning
class11
ch14
medium
implications-(tautology-contradiction.)
q34
asked
Jan 20, 2014
by
thanvigandhi_1
1
answer
Identify the contrapositive of the statement, If 2 is the only even prime number then 6 is divisible by 3.
jeemain
math
mathematical-reasoning
class11
ch14
medium
implications-(tautology-contradiction.)
q25
asked
Jan 20, 2014
by
thanvigandhi_1
1
answer
Identify the converse of the statement: If x is a prime number then x is even.
jeemain
math
mathematical-reasoning
class11
ch14
medium
implications-(tautology-contradiction.)
q23
asked
Jan 20, 2014
by
thanvigandhi_1
1
answer
Which statement represents the inverse of the statement "If it is snowing, then Skeeter wears a sweater."?
jeemain
math
mathematical-reasoning
class11
unit14
medium
implications-(tautology-contradiction.)
q21
asked
Jan 20, 2014
by
thanvigandhi_1
1
answer
What is the negation of: For every real number $x ,x \gt x+2$?
jeemain
math
mathematical-reasoning
class11
ch14
medium
implications-(tautology-contradiction.)
q17
asked
Jan 20, 2014
by
thanvigandhi_1
1
answer
If $ t$ and $ c$ denote a tautology and a contradiction respectively, then for any statement $p, p \wedge t$ is equal to
jeemain
math
mathematical-reasoning
class11
ch14
medium
implications-(tautology-contradiction.)
q14
asked
Jan 20, 2014
by
thanvigandhi_1
1
answer
Identify the quantifier in the sentence There exists a kingdom for every king in India.
jeemain
math
mathematical-reasoning
class11
ch14
easy
implications-(tautology-contradiction.)
q23
asked
Jan 17, 2014
by
thanvigandhi_1
1
answer
Identify the quantifier in the sentence: There exists a number which is equal to its square.
jeemain
math
mathematical-reasoning
class11
unit14
easy
implications-(tautology-contradiction.)
q22
asked
Jan 17, 2014
by
thanvigandhi_1
1
answer
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