List of top Questions asked in CUET (PG)

Match List - I with List - II

List - I (Function/Property)	List - II (Definition/Explanation)
A. Singular point	III. A point at which function is not differentiable.
B. Holomorphic function	IV. Other name of analytic function.
C. Entire function	II. Any function which is analytic everywhere.
D. Harmonic function	I. Any function which satisfies the Laplace's equation.

Match List I with List - II

List - I (Set Laws)	List - II (Form)
A. Idempotent law	III. $A \cup A = A$
B. Commutative law	I. $A \cup B = B \cup A$
C. Associative law	II. $A \cap (B \cap C) = (A \cap B) \cap C$
D. De-Morgan law	IV. $(A \cap B)' = A' \cup B'$

Match List - I with List - II

List - I (Property)	List - II (Expression)
A. Change of Scale Property	III. $L\{f(at)\}=\frac{1}{a}F\left(\frac{s}{a}\right)$
B. Final Value Theorem	IV. $\lim_{s\to 0}[sF(s)] = \lim_{t\to \infty} f(t)$
C. Heaviside's Shifting Theorem	II. $L\{g(t)\} = e^{-as}F(s)$
D. First Shifting Theorem	I. $L[e^{at}f(t)] = F(s-a)$

The Fourier series expansion is given as:
\[ \frac{a_{0}}{2} + a_{1}\cos x + a_{2}\cos 2x + \cdots + b_{1}\sin x + b_{2}\sin 2x + \cdots \]

For the function \[ f(x) = x + \frac{x^{2}}{4}, \quad -\pi \le x \le \pi \]
The value of $a_0$ and $b_2$ are:

Match List - I with List - II

List - I (Register)	List - II (Function)
A. Memory Address (MAR)	III. Holds address of the active memory location
B. Memory Buffer (MBR)	I. Holds information on its way to and from memory
C. Program Control (PC)	IV. Holds address of the next instruction to be executed
D. Accumulator (A)	II. Accumulates results and data to be operated upon

Match List - I with List - II

List - I (Computer Generation)	List - II (Hardware)
A. 1$^{st}$ Generation	I. Mini computer
B. 2$^{nd}$ Generation	II. Semiconductor memory
C. 3$^{rd}$ Generation	III. Magnetic core memory
D. 4$^{th}$ Generation	IV. Electromagnetic relay memory

The mean and standard deviation for the following data, respectively, are:

Size of item	8	9	10	11	12
Frequency	6	10	14	7	4

Match List - I with List - II

List - I (Property)	List - II (Definition)
A. Skewness	IV. Measure of departure from symmetry
B. Kurtosis	II. Measure of the degree of peakedness of a distribution
C. Variance	III. Square of standard deviation
D. Range	I. Difference between highest and least values of the variable

Consider the following statements about vertical profile of atmosphere. Choose the correct statements.
A. Mean free path increases with increase in the height above sea.
B. Mean free path is independent of the height above sea.
C. Pressure decreases with increase in the height above sea.
D. Density decreases with increase in the height above sea.
E. Density increases with increase in the height above sea.

Solar variability can force climate change. Which of the following statements are correct about Solar variability?
A. Flares are intense bursts of ultraviolet and X-ray emitted from the sun's outer atmosphere.
B. Sun spots are bright (hot) patches that interrupt the irregular pattern of convective cell in the photosphere.
C. Faculates are bright (hot) spots in the pattern of convective cells that often appear in conjugate with sunspots.
D. Solar activity is modulated by solar cycle of approximately 11 years.

List - I (Set Laws)	List - II (Form)
A. Idempotent law	III. \(A \cup A = A\)
B. Commutative law	I. \(A \cup B = B \cup A\)
C. Associative law	II. \(A \cap (B \cap C) = (A \cap B) \cap C\)
D. De-Morgan law	IV. \((A \cap B)' = A' \cup B'\)

List - I (Property)	List - II (Expression)
A. Change of Scale Property	III. \(L\{f(at)\}=\frac{1}{a}F\left(\frac{s}{a}\right)\)
B. Final Value Theorem	IV. \(\lim_{s\to 0}[sF(s)] = \lim_{t\to \infty} f(t)\)
C. Heaviside's Shifting Theorem	II. \(L\{g(t)\} = e^{-as}F(s)\)
D. First Shifting Theorem	I. \(L[e^{at}f(t)] = F(s-a)\)