This chapter is currently out of syllabus
1
AIEEE 2012
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
The negation of the statement “If I become a teacher, then I will open a school” is :
A
I will become a teacher and I will not open a school
B
Either I will not become a teacher or I will not open a school
C
Neither I will become a teacher nor I will open a school
D
I will not become a teacher or I will open a school
2
AIEEE 2011
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Consider the following statements
P : Suman is brilliant
Q : Suman is rich
R : Suman is honest
The negation of the statement,

“Suman is brilliant and dishonest if and only if Suman is rich” can be expressed as :
A
$$\sim \left[ {Q \leftrightarrow \left( {P \wedge \sim R} \right)} \right]$$
B
$$\sim Q \leftrightarrow P \wedge R$$
C
$$\sim \left( {P \wedge \sim R} \right) \leftrightarrow Q$$
D
$$\sim P \wedge \left( {Q \leftrightarrow \sim R} \right)$$
3
AIEEE 2010
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Let S be a non-empty subset of R. Consider the following statement:
P : There is a rational number x ∈ S such that x > 0.
Which of the following statements is the negation of the statement P?
A
There is no rational number x ∈ S such that x ≤ 0
B
Every rational number x ∈ S satisfies x ≤ 0
C
x ∈ S and x ≤ 0 $$\Rightarrow$$ x is not rational
D
There is a rational number x ∈ S such that x ≤ 0
4
AIEEE 2009
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Statement-1 : $$\sim \left( {p \leftrightarrow \sim q} \right)$$ is equivalent to $${p \leftrightarrow q}$$.
Statement-2 : $$\sim \left( {p \leftrightarrow \sim q} \right)$$ is a tautology.
A
Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1
B
Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1
C
Statement-1 is true, Statement-2 is false
D
Statement-1 is false, Statement-2 is true
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