Functions and Relations MCQs with Answers

The proposition $p \to q$ is logically equivalent to:

• A.$p \land \neg q$
• B.$p \lor \neg q$
• C.$\neg p \land q$
• D.$\neg p \lor q$

Given $p : 4 < 7$, $q : 6 > 11$, the disjunction $p \lor q$ is:

• A.True
• B.False
• C.Cannot be determined
• D.Both True and False

Leibniz's theorem is used to find the $n$th derivative of ?

• A.Sum of two functions
• B.Product of two functions
• C.Quotient of two functions
• D.Composite of two functions

If $A$ has two elements and $B$ has three elements, then the number of binary relations in $A \times B$ is?

• A.$2^5$
• B.$2^6$
• C.$2^3$
• D.$6^2$

Given $p : 4 < 7$ and $q : 6 > 11$, the disjunction $p \lor q$ is:

• A.True
• B.False
• C.Neither True nor False
• D.Cannot be determined

Disjunction of two statements $p$ and $q$ is true if?

• A.both $p$ and $q$ are true
• B.one of $p$ and $q$ is true
• C.both $p$ and $q$ are false
• D.None of these

If $p: 3 < 5$ and $q: 1 < 0$, then $p \land q$ is:

• A.True
• B.False
• C.Cannot be determined
• D.None of these

For $a \in \mathbb{R}$, $a > b$ or $a = b$ or $a < b$ is known as:

• A.Associative property of real numbers
• B.Transitive property of real numbers
• C.Commutative property of real numbers
• D.Trichotomy property of real numbers

What is the value of $\cos(\sin^{-1} x)$?

• A.$\frac{1}{\sqrt{1 - x^2}}$
• B.$\sqrt{1 + x^2}$
• C.$\sqrt{1 - x^2}$
• D.$\frac{x}{\sqrt{1 - x^2}}$

A point where the derivative of a function is either zero or does not exist is called a:

• A.Stationary point
• B.Singular point
• C.Critical point
• D.Both A and B