Match the LIST-I with LIST-II (Consider N and R as set of natural numbers and set of real numbers respectively)

	LIST-I Function		LIST-II
A.	$f: N \to N, f(x) = x^2$ is	I.	Neither one-one nor onto
B.	$f: R \to R, f(x) = 3 - 2x$ is	II.	one-one but not onto
C.	$f: R \to R, f(x) = x^2$ is	III.	onto but not one-one
D.	$f: \{-1,1\} \to \{1\}, f(x) = \vert x \vert$ is	IV.	one-one and onto

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Let f: $\mathbb{R} \rightarrow \mathbb{R}$ be defined as $f(x) = 10x$. Then (Where $\mathbb{R}$ is the set of real numbers)

The value of $\left|\begin{array}{cc}\log_5 10 & 2 \\[4pt] 2 & \log_{10} 5\end{array}\right|$ is

Which of the following functions from $\mathbb{Z}$ to $\mathbb{Z}$ is a bijective function? (where $\mathbb{Z}$ is set of integers)

Let R be the relation over the set A of all straight lines in a plane such that $l_{1} \mathrm{R} l_{2} \Leftrightarrow l_{1}$ is parallel to $l_{2}$. Then R is :

Let A= {1, 2, 3}, then the possible equivalence relations on A are:

(A) {(1, 1), (2, 2) , (3, 3)}

(B) {(1, 1), (2, 2), (3, 3), (1, 2), (2, 1)}

(C) {(1, 1), (2, 2), (3, 3), (1, 2), (2, 1), (1, 3)}

(D) {(1, 1), (2, 2), (3, 3), (1, 3), (3, 1)}

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A function f: R $\to$ R is given by $f(x) = x^3 + 3$. If $f(x) = -24$, then the value of x is: