VITEEE 2025 Mock Questions (For Practice)
Practice VITEEE 2025 expected questions here.
Mathematics
Coordinate Geometry: The equation of the line passing through the point (2, -1) and perpendicular to the line 3x + 4y = 5 is:
(a) 4x - 3y = 11
(b) 3x - 4y = 10
(c) 4x + 3y = 5
(d) 3x + 4y = -2
Differential Equations: The solution of the differential equation dy/dx = y/x is:
(a) y = cx
(b) y = c/x
(c) y = x^2 + c
(d) y = ln x + c
Probability: Two dice are thrown. The probability of getting a sum of 7 or 11 is:
(a) 1/6
(b) 2/9
(c) 1/3
(d) 5/18
Trigonometry: The value of sin 15° is:
(a) (√3 + 1)/2√2
(b) (√3 - 1)/2√2
(c) (√2 + 1)/2√3
(d) (√2 - 1)/2√3
Physics
Rotational Motion: A solid sphere of mass M and radius R rolls down an inclined plane without slipping. The acceleration of the sphere is:
(a) (2/5)g sin θ
(b) (3/5)g sin θ
(c) (5/7)g sin θ
(d) g sin θ
Heat and Thermodynamics: One mole of an ideal gas undergoes an isothermal expansion from volume V to 2V. The work done by the gas is:
(a) RT ln 2
(b) 2RT ln 2
(c) RT ln (1/2)
(d) -RT ln 2
Electrostatics: Two point charges +q and -q are placed at a distance 2a apart. The electric potential at a point on the perpendicular bisector of the line joining the charges at a distance r from the centre is:
(a) Zero
(b) kq/r
(c) kq/r²
(d) 2kq/r
Magnetic Effects of Current: A long straight wire carries a current I. The magnetic field at a distance r from the wire is:
(a) μ₀I/2πr
(b) μ₀I/4πr
(c) μ₀I/2r
(d) μ₀I/4r
Work, Energy, and Power: A body of mass 2 kg is moved up a rough inclined plane of inclination 30° with a velocity of 5 m/s. If the coefficient of friction is 0.2, the power required to move the body is: (g = 10 m/s²)
(a) 20 W
(b) 30 W
(c) 40 W
(d) 50 W
Waves and Oscillations: The frequency of a simple pendulum is doubled when:
(a) The length of the pendulum is halved.
(b) The length of the pendulum is doubled.
(c) The mass of the bob is doubled.
(d) The amplitude of oscillation is doubled.
Current Electricity: Two wires of the same material have lengths in the ratio 1:2 and radii in the ratio 2:1. The ratio of their resistances is:
(a) 1:4
(b) 4:1
(c) 1:2
(d) 2:1
Modern Physics: The energy of a photon of wavelength 500 nm is: (h = 6.626 x 10^-34 Js, c = 3 x 10^8 m/s)
(a) 2.48 eV
(b) 4.96 eV
(c) 1.24 eV
(d) 0.62 eV
Integration: ∫(e^x)/(1 + e^2x) dx is equal to:
(a) tan⁻¹(e^x) + C
(b) ln(1 + e^2x) + C
(c) e^x tan⁻¹(x) + C
(d) None of these
Binomial Theorem: The coefficient of x⁵ in the expansion of (1 + 2x)⁷ is:
(a) 84
(b) 21
(c) 42
(d) 168
Vectors: If a = 2i + j - k and b = i - 3j + 2k, then the angle between a and b is:
(a) π/6
(b) π/3
(c) π/2
(d) π
Linear Programming: The maximum value of Z = 3x + 2y subject to the constraints x + y ≤ 4, x ≥ 0, y ≥ 0 is:
(a) 12
(b) 8
(c) 10
(d) 0
Chemistry
Chemical Kinetics: The rate of a reaction doubles when the temperature is increased from 27°C to 327°C. The activation energy of the reaction is:
(a) 41.5 kJ/mol
(b) 83.1 kJ/mol
(c) 166.2 kJ/mol
(d) 20.75 kJ/mol
Equilibrium: For the reaction N2(g) + 3H2(g) ⇌ 2NH3(g), the equilibrium constant Kp is related to Kc as:
(a) Kp = Kc(RT)
(b) Kp = Kc(RT)^2
(c) Kp = Kc(RT)^-2
(d) Kp = Kc(RT)^-1
Solutions: The molarity of a solution containing 4 g of NaOH in 100 mL of solution is:
(a) 0.1 M
(b) 1 M
(c) 0.01 M
(d) 2 M
Electrochemistry: The standard electrode potential for Zn^2+/Zn is -0.76 V. The EMF of the cell Zn|Zn^2+(0.1M)||H^+(1M)|H2(g)(1 atm) is:
(a) -0.76 V
(b) +0.76 V
(c) -0.79 V
(d) +0.79 V
Chemical Bonding: Which of the following molecules has the strongest hydrogen bonding?
(a) H₂O
(b) NH₃
(c) HF
(d) CH₄
Solid State: The number of atoms per unit cell in a face-centred cubic lattice is:
(a) 1
(b) 2
(c) 4
(d) 6
Coordination Compounds: The IUPAC name of the complex [Co(NH₃)₅Cl]Cl₂ is:
(a) Pentaamminechlorocobalt(III) chloride
(b) Pentaamminechlorocobalt(II) chloride
(c) Chloropentaamminecobalt(III) chloride
(d) Chloropentaamminecobalt(II) chloride
Aldehydes, Ketones and Carboxylic Acids: Which of the following reagents can be used to distinguish between benzaldehyde and acetophenone?
(a) Tollens' reagent
(b) Fehling's solution
(c) Iodoform test
(d) All of these
