Which of the following option is true?

MAD101_Final test

Quiz
•
Mathematics
•
University
•
Easy
Phạm HN)
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73 questions
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1.
MULTIPLE CHOICE QUESTION
10 mins • 1 pt
If the Sun is a planet, elephants will fly
3 +2 = 8 if 5+2 = 7
1 > 3 and 3 is a positive integer
-2 > 3 or 3 is a negative integer
Answer explanation
Explanation: Hypothesis is false, thus the whole statement is true.
2.
MULTIPLE CHOICE QUESTION
10 mins • 1 pt
What is the value of x after this statement, assuming the initial value of x is 5?
‘If x equals to one then x=x+2 else x=0’.
1
3
0
2
Answer explanation
If condition is false so value decided according to else condition.
3.
MULTIPLE CHOICE QUESTION
10 mins • 1 pt
Let P: If Sahil bowls, Saurabh hits a century.; Q: If Raju bowls, Sahil gets out on first ball. Now if P is true and Q is false then which of the following can be true?
Raju bowled and Sahil got out on first ball
Raju did not bowled
Sahil bowled and Saurabh hits a century
Sahil bowled and Saurabh got out
Answer explanation
Either hypothesis should be false or both (hypothesis and conclusion) should be true.
4.
DROPDOWN QUESTION
10 mins • 1 pt
p → q is logically equivalent to (a) .
Answer explanation
(p → q) ↔ (¬p ∨ q) is tautology.
5.
DRAG AND DROP QUESTION
10 mins • 1 pt
¬ (p ↔ q) is logically equivalent to (a) .
Answer explanation
¬(p↔q)↔(p↔¬q) is tautology.
6.
DROPDOWN QUESTION
10 mins • 1 pt
p ∧ q is logically equivalent to (a) .
Answer explanation
(p ∧ q) ↔ (¬(p → ¬q)) is tautology.
7.
MULTIPLE CHOICE QUESTION
10 mins • 1 pt
Which of the following statement is correct?
p ∨ q ≡ q ∨ p
¬(p ∧ q) ≡ ¬p ∨ ¬q
(p ∨ q) ∨ r ≡ p ∨ (q ∨ r)
All of mentioned
Answer explanation
Verify using truth table, all are correct.
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