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CUET (UG) 2026
List of top Questions asked in CUET (UG)- 2026
A certain type of fish has a 4/5 probability of surviving in a pond, while another fish has a 2/5 probability of survival. What is the probability that exactly one of them survives?
CUET (UG) - 2026
CUET (UG)
Mathematics
Probability of Random Experiments
The value of \( \int_0^2 |x - 2| dx = \)
CUET (UG) - 2026
CUET (UG)
Mathematics
Definite Integral
The integral \( \int e^x \left(\tan^{-1}x + \frac{1}{1+x^2}\right) dx \) is equal to
CUET (UG) - 2026
CUET (UG)
Mathematics
Indefinite Integrals
The value of the integral \( I = \int_{-3}^3 (x^3 - x) dx \) is
CUET (UG) - 2026
CUET (UG)
Mathematics
Definite Integral
The integral \( \int \frac{2+x^4}{1+x^2} dx \) is equal to
CUET (UG) - 2026
CUET (UG)
Mathematics
Indefinite Integrals
If \( f(x) = x^5 - 5x^3 + 5x^2 - 1 \), then the number of critical points of \( f(x) \) is:
CUET (UG) - 2026
CUET (UG)
Mathematics
Local maxima and minima
Ravi walks 10 m towards North, then turns right and walks 6 m. He again turns right and walks 10 m. In which direction is he from the starting point?
CUET (UG) - 2026
CUET (UG)
General Aptitude
General Knowledge Based
Find the compound interest on ₹5000 at 10% per annum for 2 years.
CUET (UG) - 2026
CUET (UG)
General Aptitude
Coding Decoding
Which Indian city hosted the G20 Summit 2023?
CUET (UG) - 2026
CUET (UG)
General Aptitude
Linear Equations
Find the missing term: 2, 6, 12, 20, 30, ?
CUET (UG) - 2026
CUET (UG)
General Aptitude
Averages
A bag contains 5 red, 4 blue and 3 green balls. One ball is drawn at random. What is the probability that the ball drawn is blue?
CUET (UG) - 2026
CUET (UG)
General Aptitude
Number System
If A denotes 'Addition', B denotes 'Multiplication', C denotes 'Subtraction' and D denotes 'division', then what will be the value of the following expression?
(45 D 9) B 5 A 8 B (7 A 3 C 6) C (28 D (4 D 4))
CUET (UG) - 2026
CUET (UG)
General Aptitude
Number Series
Which two signs should be interchanged to make the given equation correct?
16 – 18 $\times$ 216 $\div$ 432 + 40 = 20
CUET (UG) - 2026
CUET (UG)
General Aptitude
permutations and combinations
Select the number from among the given options that can replace the mark (?) in the following series:
7, 16, 41, 94, 249, ?
CUET (UG) - 2026
CUET (UG)
General Aptitude
Statistics
Select the option that is related to the third number in the same way as the second number is related to the first number.
13 : 1331 :: 17 : ?
CUET (UG) - 2026
CUET (UG)
General Aptitude
Probability
What can be placed at ‘?’ if both sides of ‘::’ have the same relationship between numbers:
85 : 42 :: 139 : ?
CUET (UG) - 2026
CUET (UG)
General Aptitude
Area of a Triangle
Match List-I with List-II:
List-I
List-II
A. The current lags behind the e.m.f. by \( \frac{\pi}{4} \) in phase
I. A.C. circuit containing only an inductor
B. The e.m.f. lags behind the current by \( \frac{\pi}{4} \) in phase
II. A.C. circuit with resistance and inductance in series
C. The current lags behind the e.m.f. in phase by \( \frac{\pi}{2} \)
III. A.C. circuit containing only a capacitor
D. The e.m.f. lags behind the current in phase by \( \frac{\pi}{2} \)
IV. A.C. circuit with resistance and capacitor in series
CUET (UG) - 2026
CUET (UG)
Physics
The Electric Field Due to an Electric Dipole
A parallel plate capacitor of capacitance \(1\ \mu\text{F}\) is charged to a potential difference of \(20\ \text{V}\). The distance between plates is \(1\ \mu\text{m}\). The energy density between plates of capacitor is:
CUET (UG) - 2026
CUET (UG)
Physics
Electric Field Intensity
Let a rod \(AB\) of length \(l\) having resistance \(r\) is moving perpendicular to a magnetic field \(B\) with constant velocity \(v\). If the ends of the rod are connected to a wire \(PQRS\) of negligible resistance, then current passing through the wire will be:
CUET (UG) - 2026
CUET (UG)
Physics
capacitor with a dielectric
The distance estimation for which ray optics is a good approximation for an aperture of \(3\ \text{mm}\) and wavelength \(300\ \text{nm}\) would be:
CUET (UG) - 2026
CUET (UG)
Physics
Atomic Structure
Two electrons are moving with different kinetic energies. If the first electron is moving with kinetic energy \(k\) and the second electron with kinetic energy \(4k\), the ratio of their de Broglie wavelengths respectively will be:
CUET (UG) - 2026
CUET (UG)
Physics
Electric Field Intensity
A steady current \(I\) flows through a long straight wire of radius \(a\). The current is uniformly distributed across its cross-section. The ratio of the magnetic fields due to the wire at distances \(\frac{a}{4}\) and \(3a\) respectively from the axis of the wire is:
CUET (UG) - 2026
CUET (UG)
Physics
Electric Field Intensity
The Young's double slit interference experiment is performed using light consisting of \(480\ \text{nm}\) and \(600\ \text{nm}\) wavelengths to form interference patterns. The least number of the bright fringes of \(480\ \text{nm}\) light that are required for the first coincidence with the bright fringes formed by \(600\ \text{nm}\) light is:
CUET (UG) - 2026
CUET (UG)
Physics
Electric field and potential due to point
What is the relative decrease in focal length of a lens for an increase in optical power by \(0.1\ \text{D}\) from \(2.5\ \text{D}\)?
CUET (UG) - 2026
CUET (UG)
Physics
Electric Field Intensity
Consider a parallel plate capacitor of area \(A\) of each plate and separation \(d\) between the plates. If \(E\) is the electric field and \(\varepsilon_0\) is the permittivity of free space between the plates, then potential energy stored in the capacitor is:
CUET (UG) - 2026
CUET (UG)
Physics
Potential Difference Between Two Points
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