1
JEE Main 2021 (Online) 20th July Evening Shift
+4
-1
Consider the following three statements :

(A) If 3 + 3 = 7 then 4 + 3 = 8

(B) If 5 + 3 = 8 then earth is flat.

(C) If both (A) and (B) are true then 5 + 6 = 17.

Then, which of the following statements is correct?
A
(A) is false, but (B) and (C) re true
B
(A) and (C) are true while (B) is false
C
(A) is true while (B) and (C) are false
D
(A) and (B) are false while (C) is true
2
JEE Main 2021 (Online) 20th July Morning Shift
+4
-1
The Boolean expression $$(p \wedge \sim q) \Rightarrow (q \vee \sim p)$$ is equivalent to :
A
$$q \Rightarrow p$$
B
$$p \Rightarrow q$$
C
$$\sim q \Rightarrow p$$
D
$$p \Rightarrow \, \sim q$$
3
JEE Main 2021 (Online) 18th March Evening Shift
+4
-1
If P and Q are two statements, then which of the following compound statement is a tautology?
A
((P $$\Rightarrow$$ Q) $$\wedge$$ $$\sim$$ Q) $$\Rightarrow$$ (P $$\wedge$$ Q)
B
((P $$\Rightarrow$$ Q) $$\wedge$$ $$\sim$$ Q) $$\Rightarrow$$ Q
C
((P $$\Rightarrow$$ Q) $$\wedge$$ $$\sim$$ Q) $$\Rightarrow$$ P
D
((P $$\Rightarrow$$ Q) $$\wedge$$ $$\sim$$ Q) $$\Rightarrow$$ $$\sim$$ P
4
JEE Main 2021 (Online) 17th March Evening Shift
+4
-1
If the Boolean expression $$(p \wedge q) \odot (p \otimes q)$$ is a tautology, then $$\odot$$ and $$\otimes$$ are respectively given by :
A
$$\vee , \to$$
B
$$\to$$, $$\to$$
C
$$\wedge$$, $$\vee$$
D
$$\wedge$$, $$\to$$
JEE Main Subjects
Physics
Mechanics
Electricity
Optics
Modern Physics
Chemistry
Physical Chemistry
Inorganic Chemistry
Organic Chemistry
Mathematics
Algebra
Trigonometry
Coordinate Geometry
Calculus
EXAM MAP
Joint Entrance Examination