اختبار تجريبي لمادة math150 Week 1 - الجامعة السعودية الإلكترونية. تجميعة و اختبار تفاعلي.

The statement "5 + 7 = 12" is a proposition.

The statement "$x + 3 = 11$" is a proposition.

The statement "Dammam is the capital of Saudi Arabia" is a proposition.

$p \leftrightarrow q$ and $(p \to q) \lor (q \to p)$ are logically equivalent.

The conditional statement $p \to q$ is true when $p$ is true and $q$ is false.

The conditional statement $p \to q$ is false when $p$ is true and $q$ is false, but the converse and inverse are both true.

The inverse of the compound proposition $r \to q$ is $\lnot r \to \lnot q$.

The given statement $p \lor \lnot(p \land q)$ is a tautology.

The truth values of the propositions $\lnot(p \land q)$ and $(\lnot p \lor \lnot q)$ coincide.

The conditional statement $p \to (q \lor r)$ is logically equivalent to which one of the following?

The conditional statement $p \to (q \land r)$ is logically equivalent to which one of the following?

If $p$ denotes "I am outside" and $q$ denotes "It is sunny", then $p \to q$ denotes:

The expression $\lnot p \land \lnot q$ is logically equivalent to:

The expression $\lnot(p \lor q)$ is logically equivalent to:

How many rows appear in a truth table with 5 propositions $p, q, r, s, t$?

How many rows are in the truth table for $(p \land \neg r) \land (q \land \neg s)$?

How many rows appear in a truth table with 2 propositions?

The converse of the proposition "If my football team wins, then I am injured" is:

The inverse of the conditional statement "If a quadrilateral is a rectangle, then it has two pairs of parallel sides" is:

What is the contrapositive of: "If a quadrilateral is a rectangle, then it has two pairs of parallel sides"?

The compound statement $((p \to q) \land \lnot p) \to \lnot q$ is:

Let p: This is an informative lecture, q: You should come back here. Then 'This is an informative lecture and you should not come back here.' is represented by

If $m$ stands for "Mom is in town", $n$ stands for "Today is Thursday", and $p$ stands for "It is raining", then the expression for "Today is Thursday and it is not raining, or mom is in town" is:

A sufficient condition that a triangle T be a right triangle is that $a^2 + b^2 = c^2$. An equivalent statement is

The conditional statement $p \to q$ is logically equivalent to $\neg p \lor q$.

The conditional statement $p \to q$ is true if p is false and q is false.

For a proposition p, $p \lor \neg p$ is always true.

$(p \land F) \lor (p \land T)$ is always false.

Consider the statement of the form $p \to q$ with p = 'you are born in Saudi Arabia' and q = 'you are citizen of Saudi Arabia'. Then, the contrapositive of the given conditional statement is "if you are not citizen of Saudi Arabia, then you are not born in Saudi Arabia".

The proposition $(p \to q) \lor \neg p \leftrightarrow (q \lor r)$ is a contingency.

The conditional statement $(p \land q) \to (p \to q)$ is a ______

Applying laws of logic, $\neg(\neg x \land y) \land (x \lor y) = x$.

The conditional statement $(p \to q) \land (p \to r) \to (q \to r)$ is a ______

The expression $\neg(p \lor q)$ is logically equivalent to:

Fill out the missing bit value for XOR in the given table:

| x | y | $x \oplus y$ |
|---|---|---|
| 1 | 1 | ? |
| 1 | 0 | 1 |
| 0 | 1 | 1 |
| 0 | 0 | 0 |

The inverse statement of the statement "If you do every exercise in this book then you are a good student" is:

Which of the following statements is correct?

(a) $\lnot(q \lor p) \equiv \lnot q \land \lnot p$
(b) $(p \land q) \lor r \equiv p \lor (q \lor r)$
(c) $q \lor p \equiv p \lor q$

Two propositions are said to be logically equivalent if

The compound statement for two propositional variables $(p \to q) \lor (q \to p)$ is a contradiction.

Consider the statement "If all rich people are happy, then all poor people are sad" is logically equivalent to "If there exists a poor person who is not sad, then there exists a rich person who is not happy."

The fundamental property of a compound proposition is that its truth value is completely determined by the truth values of its subpropositions together with the way in which they are connected to form the compound propositions.

The truth value of "9 is greater than 19" is True.

اختبار تفاعليWeek 1 - math150