List of top Questions asked in CUET (PG)

The exports of goods of a country, \( G = G(t) \), has a growth rate of \( a/t \), and its exports of services, \( S = S(t) \), has a growth rate of \( b/t \). What is the growth rate of its total exports \( X \)?

Which of the following statements is not correct?

Assuming that the production function is homogeneous of degree one and Euler's equation holds, if \( MP_L \) (marginal product of labour) is greater than \( AP_L \) (average product of labour), then:

Match List-I with List-II for the index of refraction for yellow light of sodium (589 nm)

LIST-I (Materials)		LIST-II (Refractive Indices)
A.	Ice	I.	1.309
B.	Rock salt (NaCl)	II.	1.460
C.	CCl₄	III.	1.544
D.	Diamond	IV.	2.417

Choose the correct answer from the options given below:

Match the LIST-I with LIST-II

LIST-I		LIST-II
A.	Compton Effect	IV.	Scattering
B.	Colors in thin film	II.	Interference
C.	Double Refraction	III.	Polarization
D.	Bragg's Equation	I.	Diffraction

Choose the correct answer from the options given below:

Match List-I with List-II on the basis of two simple harmonic signals of the same frequency and various phase differences interacting with each other:

LIST-I (Lissajous Figure)		LIST-II (Phase Difference)
A.	Right handed elliptically polarized vibrations	I.	Phase difference = \( \frac{\pi}{4} \)
B.	Left handed elliptically polarized vibrations	II.	Phase difference = \( \frac{3\pi}{4} \)
C.	Circularly polarized vibrations	III.	No phase difference
D.	Linearly polarized vibrations	IV.	Phase difference = \( \frac{\pi}{2} \)

Choose the correct answer from the options given below:

For Particular Integral, Match the LIST-I with LIST-II

LIST-I		LIST-II
A.	\( \frac{1}{(D-1)} x^2 \)	I.	\( xe^x \)
B.	\( \frac{1}{D^2+D+1} \cos x \)	II.	\( \sin x \)
C.	\( \frac{1}{(D-1)^2} e^x \)	III.	\( \frac{x^2 e^x}{2} \)
D.	\( \frac{1}{D^3-3D^2+4D-2} e^x \)	IV.	\( -(x^2 + 2x + 2) \)

(Note: List-I Item A is assumed to be \( \frac{1}{D-1} x^2 \) based on the options)

If \( x = r\cos\theta, y = r\sin\theta \) then Match the LIST-I with LIST-II

LIST-I		LIST-II
A.	\( \frac{\partial r}{\partial x} \)	I.	\( \frac{1}{r} \)
B.	\( \frac{\partial r}{\partial y} \)	II.	\( \frac{y}{r} \)
C.	\( \frac{\partial(x,y)}{\partial(r,\theta)} \)	III.	\( \frac{x}{r} \)
D.	\( \frac{\partial(r,\theta)}{\partial(x,y)} \)	IV.	\( r \)

(Note: There is a typo in the question; it should be \( y = r \sin\theta \))

Match the LIST-I with LIST-II

LIST-I (Expressions)		LIST-II (Values)
A.	\( i^{49} \)	I.	1
B.	\( i^{38} \)	II.	\(-i\)
C.	\( i^{103} \)	III.	\(i\)
D.	\( i^{92} \)	IV.	\(-1\)

Choose the correct answer from the options given below:

Match the LIST-I with LIST-II

LIST-I (Energy of a particle in a box of length L)		LIST-II (Degeneracy of the states)
A.	\( \frac{14h^2}{8mL^2} \)	I.	1
B.	\( \frac{11h^2}{8mL^2} \)	II.	3
C.	\( \frac{3h^2}{8mL^2} \)	III.	6

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Match the LIST-I with LIST-II

LIST-I (Type of decay in Radioactivity)		LIST-II (Reason for stability)
A.	Alpha decay	III.	Nucleus is mostly heavier than Pb (Z=82)
B.	Beta negative decay	IV.	Nucleus has too many neutrons relative to the number of protons
C.	Gamma decay	I.	Nucleus has excess energy in an excited state
D.	Positron Emission	II.	Nucleus has too many protons relative to the number of neutrons

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Match the LIST-I with LIST-II

LIST-I (Configuration of Bipolar Transistors)		LIST-II (Characteristics)
A.	Common Base	I.	Current Gain but no Voltage Gain
B.	Common Emitter	III.	Both Current and Voltage Gain
C.	Common Collector	II.	Voltage Gain but no Current Gain

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Match the LIST-I with LIST-II

LIST-I (Logic Gates)		LIST-II (Expressions)
A.	EX-OR	I.	\( A\bar{B} + \bar{A}B \)
B.	NAND	II.	\( A + B \)
C.	OR	III.	\( AB \)
D.	EX-NOR	IV.	\( \bar{A}\bar{B} + AB \)

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The essential proteins present in wheat grain include:
(A) Albumins
(B) Globulins
(C) Glutenin
(D) Gliadins
Choose the correct answer from the options given below:

Probiotics usually consist of:
(A) Lactobacillus
(B) Saccharomyces boulardii
(C) Bifidobacterium
(D) Zymomonas
Choose the correct answer from the options given below:

Match List-I with List-II

List-I	List-II
(A) Apple	(II) 1.7 - 3.3°C
(B) Tomato	(IV) 3.9 - 5.6°C
(C) Orange	(III) 7.2 - 8.9°C
(D) Mango	(I) 0.0 - 1.7°C

Choose the correct answer from the options given below:

Match List-I with List-II

List-I	List-II
(A) Specific yield	(III) Ratio of volume of water a material retains after drainage by gravity to the total volume
(B) Coefficient of storage	(II) Volume of water the aquifer releases from or takes into storage per unit area of the aquifer
(C) Specific retention	(I) Volume of water released or stored per unit surface area of the aquifer per unit change in the component of head normal to that of the surface
(D) Transmissivity	(IV) Rate at which water gets transmitted through a unit width of the aquifer and extending through the full saturated thickness of the aquifer, under a hydraulic gradient

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Match List-I with List-II

List-I	List-II
(A) Podzolization	(I) Silica accumulation
(B) Laterization	(III) Iron and aluminum oxides
(C) Lessivation	(II) Clay migration
(D) Pedoturbation	(IV) Intermixing of soil particles due to external factors

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Match List-I with List-II

List-I	List-II
(A) General Purpose	(IV) Used for ploughing, leveling, seeding and transport work
(B) Pull type	(III) Miscellaneous operations for rotary as well as traction work
(C) Tilling type	(I) Two-wheel tractor coupled with a rotary tiller
(D) Dog type	(II) Steering mechanism

Choose the correct answer from the options given below: