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CUET (UG) 2026
List of top Questions asked in CUET (UG)- 2026
Benzene reacts with a mixture of carbon monoxide (\( \text{CO} \)) and hydrogen chloride (\( \text{HCl} \)) gas in the presence of an anhydrous aluminium chloride (\( \text{AlCl}_3 \)) catalyst to yield Benzaldehyde. This organic transformation is officially known as the:
CUET (UG) - 2026
CUET (UG)
Chemistry
Organic Reactions
When an aqueous solution of an electrolyte is progressively diluted by adding more solvent water, how do its Specific Conductivity (\( \kappa \)) and Molar Conductivity (\( \Lambda_m \)) respond?
CUET (UG) - 2026
CUET (UG)
Chemistry
Conductance of Electrolytic Solutions
What are the exact constituent monosaccharide units and the specific structural glycosidic linkage present inside a standard molecule of Lactose (Milk Sugar)?
CUET (UG) - 2026
CUET (UG)
Chemistry
Carbohydrates
Which of the following coordination complex compounds is officially classified as a 'Heteroleptic Complex'?
CUET (UG) - 2026
CUET (UG)
Chemistry
Coordination complexes
Which of the following oxidation state configurations represents the most common, energetically stable, and dominant oxidation state exhibited by nearly all the Lanthanoid elements across the f-block series?
CUET (UG) - 2026
CUET (UG)
Chemistry
d And f - Block Elements
Aldehydes and ketones react with semicarbazide (\( \text{NH}_2\text{NHCONH}_2 \)) in a weakly acidic medium to form crystalline semicarbazone derivatives. Which of the three nitrogen atoms in a semicarbazide molecule acts as the primary nucleophilic center during this reaction?
CUET (UG) - 2026
CUET (UG)
Chemistry
Aldehydes And Ketones
A charged particle enters perpendicular to a uniform magnetic field. The path followed by the particle is:
CUET (UG) - 2026
CUET (UG)
Physics
Motion in a Magnetic Field
The efficiency of an ideal transformer is:
CUET (UG) - 2026
CUET (UG)
Physics
Transformers
In an AC circuit, the average value of alternating current over one complete cycle is:
CUET (UG) - 2026
CUET (UG)
Physics
Electromagnetic Oscillations and Alternating Current
The self inductance of a coil depends upon:
CUET (UG) - 2026
CUET (UG)
Physics
Inductors and Inductance
The forbidden energy gap in conductors is approximately:
CUET (UG) - 2026
CUET (UG)
Physics
Energy Band Gap
Which of the following liquid mixtures forms an ideal solution that strictly obeys Raoult's Law across the entire concentration range at a constant temperature?
CUET (UG) - 2026
CUET (UG)
Chemistry
Vapour Pressure of Liquid Solutions
In a series \(LCR\) circuit, resonance occurs when:
CUET (UG) - 2026
CUET (UG)
Physics
Alternating Current Circuits
A semiconductor diode is forward biased. The depletion layer width will:
CUET (UG) - 2026
CUET (UG)
Physics
PN Junction Diode
The drift velocity of electrons in a conductor increases when:
CUET (UG) - 2026
CUET (UG)
Physics
Current Density
A long solenoid has \(1000\) turns per meter and carries a current of \(2\,A\). The magnetic field inside the solenoid is: \[ (\mu_0 = 4\pi \times 10^{-7}\,TmA^{-1}) \]
CUET (UG) - 2026
CUET (UG)
Physics
Magnetic Field Due To A Current-Carrying Conductor
The magnetic field at the center of a circular coil carrying current is directly proportional to:
CUET (UG) - 2026
CUET (UG)
Physics
Magnetic Effects of Current and Magnetism
Find the equation of the normal to the curve \( y = x^2 - x \) at the coordinate point position \( (1, 0) \).
CUET (UG) - 2026
CUET (UG)
Mathematics
Applications of Derivatives
Evaluate the value of the following definite integral using standard calculus integrations: \( \int_{0}^{1} x e^x \, dx \)
CUET (UG) - 2026
CUET (UG)
Mathematics
Indefinite Integrals
Find the maximum value of the linear objective optimization function \[ Z = 4x + y \] evaluated over a feasible region bounded by the corner vertices: \[ (0,0), \ (3,0), \ (2,3), \ \text{and} \ (0,4). \]
CUET (UG) - 2026
CUET (UG)
Mathematics
Linear Programming
An unbiased coin is tossed twice. Let event \( A \) represent getting a head on the first toss, and event \( B \) represent getting a head on the second toss. Determine the mathematical relationship between events \( A \) and \( B \).
CUET (UG) - 2026
CUET (UG)
Mathematics
Odds of an Event
If \( A \) is a square matrix of order 3 such that its determinant is \( |A| = 3 \), calculate the value of the scalar matrix determinant represented by \( |2A| \).
CUET (UG) - 2026
CUET (UG)
Mathematics
Determinant
Find the open interval across which the cubic polynomial function \( f(x) = 2x^3 - 3x^2 - 36x + 7 \) is classified as strictly decreasing.
CUET (UG) - 2026
CUET (UG)
Mathematics
Applications of Derivatives
Determine the exact expression for the Integrating Factor (I.F.) of the following first-order linear differential equation: \( \frac{dy}{dx} - y\tan x = e^x \)
CUET (UG) - 2026
CUET (UG)
Mathematics
Solution of Differential Equations
The mean of \(10\) observations was calculated as \(40\). It was detected on rechecking that the value of one observation \(45\) was wrongly copied as \(15\). Find the correct mean.
CUET (UG) - 2026
CUET (UG)
General Aptitude
Statistics
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