VITEEE Sample Questions 2025
Practice the VITEEE Sample Questions for Physics, Chemistry and Mathematics here.
Mathematics
Complex Numbers:
If z = (cos θ + i sin θ), then the value of z^n + 1/z^n is:
(a) 2 cos nθ
(b) 2 sin nθ
(c) cos nθ + i sin nθ
(d) None of these
Matrices and Determinants:
If A is a square matrix of order 3 and |A| = 5, then the value of |adj A| is:
(a) 5
(b) 25
(c) 125
(d) None of these
Calculus:
The value of ∫(x^2 + 1)/(x^4 + 1) dx is:
(a) tan^-1(x^2) + C
(b) (1/√2) tan^-1((x^2 - 1)/(√2x)) + C
(c) (1/2) log|(x^2 + 1)/(x^4 + 1)| + C
(d) None of these
Physics
Mechanics:
A body is projected vertically upwards with a velocity of 20 m/s. The maximum height reached by the body is:
(a) 10 m
(b) 20 m
(c) 40 m
(d) 80 m
Electromagnetism:
Two long straight wires are placed parallel to each other and carry currents of 1 A and 2 A in the same direction. The force on the wire carrying 2 A is:
(a) Twice the force on the wire carrying 1 A
(b) Half the force on the wire carrying 1 A
(c) Equal to the force on the wire carrying 1 A
(d) Four times the force on the wire carrying 1 A
Optics:
The focal length of a concave mirror is 10 cm. An object is placed at a distance of 15 cm from the mirror. The image formed is:
(a) Real and inverted
(b) Virtual and erect
(c) Real and erect
(d) Virtual and inverted
Chemistry
Organic Chemistry:
The IUPAC name of the compound CH3CH(OH)CH2CH3 is:
(a) Butan-2-ol
(b) 2-Methylpropan-1-ol
(c) Butan-1-ol
(d) 2-Methylpropan-2-ol
Inorganic Chemistry:
The number of moles of oxygen required for the complete combustion of 1 mole of methane is:
(a) 1
(b) 2
(c) 3
(d) 4
Physical Chemistry:
The pH of a solution with a hydrogen ion concentration of 10^-5 M is:
(a) 5
(b) 9
(c) -5
(d) -9
