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Questions
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1
JEE Main 2021 (Online) 25th July Evening Shift
MCQ (Single Correct Answer)
+4
-1
Consider the statement "The match will be played only if the weather is good and ground is not wet". Select the correct negation from the following :
A
The match will not be played and weather is not good and ground is wet.
B
If the match will not be played, then either weather is not good or ground is wet.
C
The match will be played and weather is not good or ground is wet.
D
The match will not be played or weather is good and ground is not wet.
2
JEE Main 2021 (Online) 25th July Morning Shift
MCQ (Single Correct Answer)
+4
-1
The Boolean expression $$(p \Rightarrow q) \wedge (q \Rightarrow \sim p)$$ is equivalent to :
A
$$ \sim $$ q
B
q
C
p
D
$$ \sim $$ p
3
JEE Main 2021 (Online) 22th July Evening Shift
MCQ (Single Correct Answer)
+4
-1
Which of the following Boolean expressions is not a tautology?
A
(p $$\Rightarrow$$ q) $$ \vee $$ ($$ \sim $$ q $$\Rightarrow$$ p)
B
(q $$\Rightarrow$$ p) $$ \vee $$ ($$ \sim $$ q $$\Rightarrow$$ p)
C
(p $$\Rightarrow$$ $$ \sim $$ q) $$ \vee $$ ($$ \sim $$ q $$\Rightarrow$$ p)
D
($$ \sim $$ p $$\Rightarrow$$ q) $$ \vee $$ ($$\sim$$ q $$\Rightarrow$$ p)
4
JEE Main 2021 (Online) 20th July Evening Shift
MCQ (Single Correct Answer)
+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
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