VITEEE 2025 27 April Shift 2 Question Paper is available here with solutions pdf. Vellore Institute of Technology is conducting VITEEE 2025 from April 20 to April 27. VITEEE 2025 Question Paper includes 40 questions from Mathematics/Biology, 35 questions from Physics, 35 questions from Chemistry, 5 questions from English, and 10 questions from Aptitude to be attempted in 150 minutes.
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VITEEE 2025 April 27 Shift 2 Question Paper PDF Download
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A stone is dropped from a height of 80 m. At the same instant, another stone is projected vertically upwards from the ground with a speed of 40 m/s. The time after which they meet is (\(g = 10\ m/s^2\)):
View Solution
Height of first stone: \[ y_1 = 80 - 5t^2 \]
Height of second stone: \[ y_2 = 40t - 5t^2 \]
Equating \(y_1 = y_2\): \[ 80 = 40t \Rightarrow t = 2\ s \] Quick Tip: When two bodies move under gravity, equate their positions at the same time.
The potential energy of a particle of mass 2 kg moving along x-axis is given by \(U = (x^2 - 4x)\) J. The force acting on it at \(x = 3\) m is:
View Solution
\[ F = -\frac{dU}{dx} = -(2x - 4) = -2x + 4 \]
At \(x=3\): \[ F = -6 + 4 = -2\ N \] Quick Tip: Force is the negative gradient of potential energy.
Light of wavelength 600 nm is incident on a metal surface with work function 2 eV. The maximum kinetic energy of photoelectrons is:
View Solution
Photon energy: \[ E = \frac{1240}{600} \approx 2.07\ eV \] \[ K_{\max} = E - \phi = 2.07 - 2 = 0.07\ eV \] Quick Tip: \(E(eV) = \dfrac{1240}{\lambda(nm)}\).
A transformer has 500 turns in primary and 100 turns in secondary. If input voltage is 220 V AC, the output voltage is:
View Solution
\[ \frac{V_s}{V_p}=\frac{N_s}{N_p}=\frac{100}{500}=\frac{1}{5} \] \[ V_s=\frac{220}{5}=44\ V \] Quick Tip: Step-down transformer reduces voltage.
The molarity of a solution containing 4 g of NaOH in 250 mL solution is:
View Solution
Moles of NaOH \(= \frac{4}{40} = 0.1\)
Volume \(= 0.25\) L \[ M = \frac{0.1}{0.25} = 0.4\ M \] Quick Tip: Molarity = moles / volume (in litres).
Which of the following compounds will show geometrical isomerism?
View Solution
In but-2-ene, each carbon of the double bond has two different groups, allowing cis–trans isomerism. Quick Tip: Geometrical isomerism requires two different groups on each double-bonded carbon.
The enthalpy change for the reaction \(2C(graphite) + 3H_2(g) \rightarrow C_2H_6(g)\) is called:
View Solution
The reaction forms one mole of ethane directly from its elements in standard states. Quick Tip: Enthalpy of formation refers to formation of one mole of compound.
In qualitative analysis, the cation precipitated as sulphide in Group IV is:
View Solution
Zn\(^{2+}\) forms ZnS precipitate in Group IV analysis under alkaline conditions. Quick Tip: Group IV sulphides precipitate in alkaline medium.
The value of \(\cos 15^\circ + \sin 15^\circ\) is:
View Solution
\[ \cos15^\circ=\frac{\sqrt6+\sqrt2}{4},\quad \sin15^\circ=\frac{\sqrt6-\sqrt2}{4} \] \[ \cos15^\circ+\sin15^\circ=\frac{\sqrt6}{2} \] Quick Tip: Use angle sum identities for special angles.
If \(A\) and \(B\) are two matrices such that \(AB\) is defined and \(AB = A\), then \(B\) is:
View Solution
\[ AB = A \Rightarrow A(B-I)=0 \]
For non-zero \(A\), \(B = I\). Quick Tip: Identity matrix leaves a matrix unchanged on multiplication.
The area bounded by the curve \(y = x^2\), the x-axis and the lines \(x = 1\) and \(x = 2\) is:
View Solution
\[ Area=\int_1^2 x^2\,dx=\left[\frac{x^3}{3}\right]_1^2=\frac{7}{3} \] Quick Tip: Area under curve = definite integral.
A bag contains 5 red and 3 blue balls. Two balls are drawn one by one with replacement. The probability that both are red is:
View Solution
\[ P = \left(\frac{5}{8}\right)\left(\frac{5}{8}\right)=\frac{25}{64} \] Quick Tip: With replacement, probabilities remain the same.
If the sum of the first \(n\) terms of an A.P. is \(3n^2 + 5n\), then the 10th term is:
View Solution
\[ a_n = S_n - S_{n-1} = 3(2n-1)+5 = 6n+2 \] \[ a_{10}=6(10)+2=68 \] Quick Tip: Nth term of AP can be found from sums.
A person travels from A to B at 40 km/h and returns at 60 km/h. The average speed for the entire journey is:
View Solution
\[ v_{avg}=\frac{2ab}{a+b}=\frac{2\times40\times60}{100}=48\ km/h \] Quick Tip: Use harmonic mean for equal distance journeys.
Find the next term in the series: \(4, 9, 25, 49, 121, ?\)
View Solution
The terms are squares of prime numbers: \(2^2, 3^2, 5^2, 7^2, 11^2\).
Next prime is 13: \[ 13^2 = 169 \] Quick Tip: Check if numbers are perfect squares.
If BOOK is coded as 41, then PAGE is coded as:
View Solution
Using alphabetical positions and the same coding pattern,
PAGE corresponds to 58. Quick Tip: Most coding problems use alphabet positions.
Select the word that best completes the analogy: Doctor : Hospital :: Teacher : ?
View Solution
A doctor works in a hospital; similarly, a teacher works in a school. Quick Tip: Analogies compare relationships, not meanings.
Choose the correctly spelt word:
View Solution
The correct spelling has double c and double m. Quick Tip: Remember: accommodation has double \textbf{c} and \textbf{m}.
VITEEE 2025 Expected Difficulty Level
According to the exam pattern, candidates must attempt 125 questions in 150 minutes across 5 major sections: Mathematics/Biology, Physics, Chemistry, English, and Aptitude.
As per the past year's trends, this is the expected difficulty level of VITEEE 2025:
| Section | No. of Questions | Expected Difficulty Level | Remarks |
|---|---|---|---|
| Mathematics / Biology | 40 | Moderate to Difficult | Maths will have more application-based questions, and biology will have more NCERT-based questions. |
| Physics | 35 | Moderate | It will be conceptual and related to formulas with few calculations. |
| Chemistry | 35 | Easy to Moderate | Questions will be direct theory-based, with a focus on NCERT and a few tricky numerical problems |
| English | 5 | Easy | This section will focus on Grammar and comprehension-based questions. |
| Aptitude | 10 | Moderate | Basic logical reasoning and pattern questions |
VITEEE 2025: Expected Section-Wise Weightage
Below is the expected section-wise topic weightage for VITEEE 2025:
Mathematics (40 Questions) – For PCM Candidates
| Important Topics | Expected No. of Questions |
|---|---|
| Calculus | 8–10 |
| Coordinate Geometry | 5–6 |
| Algebra (Quadratic, Complex No.) | 6–7 |
| Trigonometry | 4–5 |
| Probability & Statistics | 4–5 |
| Matrices and Determinants | 3–4 |
| Vectors and 3D Geometry | 4–5 |
Physics (35 Questions)
| Important Topics | Expected No. of Questions |
|---|---|
| Mechanics | 6–8 |
| Electrostatics & Current Electricity | 5–6 |
| Optics | 4–5 |
| Thermodynamics & Heat Transfer | 4–5 |
| Modern Physics | 4–5 |
| Waves & Oscillations | 3–4 |
| Magnetism & EMI | 4–5 |
Chemistry (35 Questions)
| Important Topics | Expected No. of Questions |
|---|---|
| Organic Chemistry (Reactions, Mechanisms) | 10–12 |
| Physical Chemistry (Thermo, Equilibrium) | 10–12 |
| Inorganic Chemistry (p/d/f block, Coordination) | 8–10 |
| Environmental Chemistry, Biomolecules | 2–3 |
English (5 Questions)
| Type of Questions | Expected questions |
|---|---|
| Reading Comprehension | 1–2 |
| Grammar (Tense, Voice, Error Spotting) | 2–3 |
| Vocabulary (Synonyms/Antonyms) | 1 |
Aptitude (10 Questions)
| Important Topics | Expected No. of Questions |
| Number Series & Coding-Decoding | 2–3 |
| Data Interpretation | 2–3 |
| Syllogism & Logical Reasoning | 2–3 |
| Basic Arithmetic | 2 |
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