BITS Pilani conducted BITSAT 2025 on 30th May Shift 2, from 2:00 P.M. to 5:00 P.M. in a CBT Mode across 74 exam centres in the country.
The BITSAT 2025 Exam comprises 130 multiple-choice questions (MCQs), divided into 5 different sections, and is conducted for 3 hours. A total of +3 marks are awarded for each correct answer, and -1 mark is deducted for each incorrect answer.
BITSAT 2025 Question Paper with Answer Key PDF
| BITSAT 2025 May 30th Shift 2 Question Paper with Answer Key | Download PDF | Check Solutions |
If \( x + \frac{1}{x} = 4 \), find the value of \( x^4 + \frac{1}{x^4} \).
The equation of the line passing through the point \( (2, 3) \) and making equal intercepts on the coordinate axes is:
If \( \tan \theta + \cot \theta = 4 \), then find the value of \( \tan^3 \theta + \cot^3 \theta \).
If \( y = \ln(x^2 + 1) \), then find \( \frac{dy}{dx} \) at \( x = 1 \).
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If \( a, b \) are roots of the equation \( x^2 - 5x + 6 = 0 \), find the value of \( a^3 + b^3 \).
In triangle \( ABC \), the length of sides are \( AB = 7 \), \( BC = 10 \), and \( AC = 5 \). What is the length of the median drawn from vertex \( B \)?
If \( f(x) = e^{2x} \sin x \), find \( f'(x) \).
The half-life of a radioactive substance is 4 hours. If initially there are 256 grams, how much remains after 10 hours?
A fluid flows through a pipe with varying cross-section. If the velocity at the narrow section is 3 m/s and the cross-sectional area is half of the wider section, what is the velocity in the wider section?
The escape velocity from the surface of a planet is 11.2 km/s. If the radius of the planet is doubled but the mass remains the same, what will be the new escape velocity?
Two identical charges \( q \) are placed 1 m apart. The electrostatic force between them is \( 9 \times 10^{-9} \, N \). What is the magnitude of each charge? (Take \( k = 9 \times 10^9 \, Nm^2/C^2 \))
A charged particle moves in a magnetic field with velocity \( v \) perpendicular to the field \( B \). The radius of the circular path is \( r \). Which of the following expressions gives the charge \( q \) of the particle?
How much water must be added to 500 mL of 2 M \( \mathrm{H_2SO_4} \) solution to make it 0.5 M?
How much water must be added to 500 mL of 2 M \( \mathrm{H_2SO_4} \) solution to make it 0.5 M?
How many grams of \( CO_2 \) are produced when 10 g of \( C_2H_6 \) (ethane) is completely combusted?
Reaction: \( 2C_2H_6 + 7O_2 \rightarrow 4CO_2 + 6H_2O \)
A 2 L container holds oxygen gas at 300 K and 2 atm pressure. If the temperature is increased to 600 K and the volume is doubled, what is the final pressure?
For the reaction \( N_2 + 3H_2 \rightleftharpoons 2NH_3 \), if initially 1 mole of \( N_2 \) and 3 moles of \( H_2 \) are taken and at equilibrium 0.4 moles of \( NH_3 \) are formed, find the equilibrium concentration of \( H_2 \).
BITSAT 2025 Marks vs Rank
The BITSAT 2025 Exam is of 390 marks, in which 130 MCQ Questions are asked for 3 marks each, and the final marks will be based on the normalised score and the overall performance in both sessions.
As per the previous year's trends, candidates who will score more than 300 marks will secure within the top 2,000 rank and the candidate who will score above 375 will fall in the rank of the top 200.
| Marks Range | Expected Rank Range |
|---|---|
| 375 – 390 | 1 – 200 |
| 350 – 374 | 201 – 700 |
| 325 – 349 | 701 – 1,500 |
| 300 – 324 | 1,501 – 3,000 |
| 275 – 299 | 3,001 – 5,000 |
| 250 – 274 | 5,001 – 8,500 |
| 225 – 249 | 8,501 – 11,000 |
| 200 – 224 | 11,001 – 15,000 |
| Below 200 | 15,000+ |
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