VITEEE 2025 26 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.

Related Links:

VITEEE 2025 April 26 Shift 2 Question Paper PDF Download

VITEEE 2025 April 26 Shift 2 Question Paper With Answer Key Download Check Solution
VITEEE 2025 April 26 Shift 2 Question Paper with Solution PDF
Question 1:

A body weighs 50 N on the surface of Earth. Its weight at a height equal to the radius of Earth from the surface is:

  • (A) 12.5 N
  • (B) 25 N
  • (C) 50 N
  • (D) 100 N
Correct Answer: (A)
View Solution

At height \(h=R\), distance from Earth’s centre \(=2R\). \[ W' = W\left(\frac{R}{2R}\right)^2 = \frac{W}{4} = \frac{50}{4}=12.5\ N \] Quick Tip: Weight varies inversely as the square of distance from Earth’s centre.

Question 2:

A sound wave has frequency 500 Hz and wavelength 0.68 m. The speed of sound is:

  • (A) 340 m/s
  • (B) 350 m/s
  • (C) 330 m/s
  • (D) 360 m/s
Correct Answer: (A)
View Solution

\[ v=f\lambda=500\times0.68=340\ m/s \] Quick Tip: Speed of wave = frequency × wavelength.

Question 3:

Two point charges \(+q\) and \(-q\) are placed at distance \(2a\) apart. The electric field intensity is zero at a point on the axis at distance \(x\) from the midpoint. Then \(x\) is:

  • (A) \(a\)
  • (B) \(2a\)
  • (C) \(a/\sqrt{2}\)
  • (D) \(\infty\)
Correct Answer: (D)
View Solution

For equal and opposite charges, electric fields on the axial line add in the same direction at all finite points.
They cancel only at infinity. Quick Tip: For an electric dipole, axial field is never zero at finite distance.

Question 4:

The activity of a radioactive sample decreases to 25% of its initial value in 60 days. The half-life is:

  • (A) 30 days
  • (B) 60 days
  • (C) 20 days
  • (D) 40 days
Correct Answer: (A)
View Solution

25% = \((1/2)^2\), so 2 half-lives = 60 days. \[ T_{1/2} = 30\ days \] Quick Tip: 25% remaining means two half-lives have passed.

Question 5:

The osmotic pressure of a 0.1 M solution of NaCl at \(27^\circ\)C is (\(R=0.082\) L atm mol\(^{-1}\) K\(^{-1}\)):

  • (A) 4.92 atm
  • (B) 2.46 atm
  • (C) 9.84 atm
  • (D) 0.492 atm
Correct Answer: (A)
View Solution

NaCl dissociates into 2 ions, so \(i=2\). \[ \pi=iMRT=2\times0.1\times0.082\times300=4.92\ atm \] Quick Tip: Electrolytes require van’t Hoff factor.

Question 6:

Which of the following has the highest lattice energy?

  • (A) NaCl
  • (B) KCl
  • (C) MgO
  • (D) CsI
Correct Answer: (C)
View Solution

Lattice energy increases with higher ionic charge and smaller ionic radius.
MgO has \(2^+\) and \(2^-\) ions. Quick Tip: Higher charge → higher lattice energy.

Question 7:

The order of reactivity of alcohols towards dehydration is:

  • (A) Primary > Secondary > Tertiary
  • (B) Tertiary > Secondary > Primary
  • (C) Secondary > Primary > Tertiary
  • (D) Primary > Tertiary > Secondary
Correct Answer: (B)
View Solution

Dehydration proceeds via carbocation stability: \[ tertiary>secondary>primary \] Quick Tip: More stable carbocation reacts faster.

Question 8:

The compound that gives iodoform test is:

  • (A) Acetaldehyde
  • (B) Benzaldehyde
  • (C) Formaldehyde
  • (D) Propionaldehyde
Correct Answer: (A)
View Solution

Compounds containing \(\ce{CH3CO-}\) group give iodoform test.
Acetaldehyde satisfies this condition. Quick Tip: Iodoform test → presence of \(\ce{CH3CO-}\).

Question 9:

The derivative of \(\tan^{-1}\!\sqrt{\dfrac{1-\cos x}{1+\cos x}}\) with respect to \(x\) is:

  • (A) \(1/4\)
  • (B) \(1/2\)
  • (C) 1
  • (D) \(-1/2\)
Correct Answer: (B)
View Solution

\[ \sqrt{\frac{1-\cos x}{1+\cos x}}=\tan\frac{x}{2} \Rightarrow y=\tan^{-1}\!\left(\tan\frac{x}{2}\right)=\frac{x}{2} \] \[ \frac{dy}{dx}=\frac12 \] Quick Tip: Use half-angle identities to simplify.

Question 10:

If \(\sin A=\frac{3}{5}\) and \(\cos B=\frac{12}{13}\), where \(A\) and \(B\) are acute angles, then \(\sin(A+B)\) is:

  • (A) \(33/65\)
  • (B) \(63/65\)
  • (C) \(56/65\)
  • (D) \(16/65\)
Correct Answer: (C)
View Solution

\[ \cos A=\frac{4}{5},\quad \sin B=\frac{5}{13} \] \[ \sin(A+B)=\sin A\cos B+\cos A\sin B =\frac{36+20}{65}=\frac{56}{65} \] Quick Tip: Use sine addition formula.

Question 11:

The number of solutions of the equation \(2|x|+|x-2|=4\) is:

  • (A) 0
  • (B) 1
  • (C) 2
  • (D) Infinite
Correct Answer: (C)
View Solution

Solving in different intervals gives two real solutions. Quick Tip: Break modulus equations into intervals.

Question 12:

A die is rolled 5 times. The probability of getting at least one six is:

  • (A) \(1/6\)
  • (B) \(5/6\)
  • (C) \((5/6)^5\)
  • (D) \(1-(5/6)^5\)
Correct Answer: (D)
View Solution

\[ P(at least one six)=1-P(no six) =1-\left(\frac56\right)^5 \] Quick Tip: Use complementary probability.

Question 13:

If the roots of the quadratic equation \(x^2-(p+1)x+p=0\) are equal, then \(p\) is:

  • (A) \(1/4\)
  • (B) \(-1/4\)
  • (C) 1
  • (D) \(-1\)
Correct Answer: (C)
View Solution

Equal roots ⇒ discriminant \(=0\): \[ (p+1)^2-4p=0 \Rightarrow (p-1)^2=0 \Rightarrow p=1 \] Quick Tip: Equal roots ⇒ discriminant zero.

Question 14:

A clock shows 3:00. The angle between the hour and minute hands is:

  • (A) \(90^\circ\)
  • (B) \(60^\circ\)
  • (C) \(180^\circ\)
  • (D) \(0^\circ\)
Correct Answer: (A)
View Solution

At 3:00, minute hand at 12 and hour hand at 3. \[ \theta=90^\circ \] Quick Tip: Each hour mark = \(30^\circ\).

Question 15:

Find the missing number: \(3,\,8,\,18,\,35,\,?,\,98\)

  • (A) 56
  • (B) 60
  • (C) 64
  • (D) 70
Correct Answer: (B)
View Solution

Differences: \[ 5,\ 10,\ 17,\ 25,\ 38 \]
Second differences: \[ 5,\ 7,\ 8,\ 13 \]
Hence missing term \(=35+25=60\). Quick Tip: Check first and second differences in number series.

 

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