The BITS Pilani conducted BITSAT 2025 on May 27, 2025, shift 1 from 9:00 A.M. to 12:00 P.M. in a CBT Mode at various exam centres in India and abroad.

The BITSAT 2025 Question paper pattern is the same as that of previous years, including 130 MCQs, divided into 30 from physics and chemistry, 10 from English proficiency, 20 from logical reasoning and 40 from mathematics or biology. BITSAT Question Paper with answer key and solution PDF is available here.

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BITSAT 2025 Question Paper with Answer Key PDF

BITSAT 2025 May 27th Shift 1 Question Paper with Answer Key Download PDF Check Solutions
BITSAT 2025 May 27 Shift 1 Question Paper With Solutions PDF

Question 1:

If \( x + \frac{1}{x} = 2 \cos \theta \), find the value of \[ x^5 + \frac{1}{x^5} \]
in terms of \(\theta\).

  • (A) \(2 \cos 5\theta\)
  • (B) \(5 \cos \theta\)
  • (C) \(2 \cos 4\theta\)
  • (D) \(5 \cos 5\theta\)

Question 2:

Evaluate: \[ \lim_{x \to 0} \frac{\sin 3x - 3 \sin x}{x^3} \]

  • (A) \(0\)
  • (B) \(-4.5\)
  • (C) \(-9\)
  • (D) \(4.5\)

Question 3:

Two circles with centers \(O_1\) and \(O_2\) touch externally. The radius of the first circle is 4 cm and the second is 9 cm. The distance between their centers is 13 cm. Find the length of the direct common tangent.


Question 4:

From a group of 10 men and 8 women, a committee of 5 is to be formed such that it contains at least 3 women. How many such committees are possible?


Question 5:

Find the number of integers \(n\) such that \(1 \leq n \leq 100\) and \(n^2 + 3n + 2\) is divisible by 5.

  • (A) 20
  • (B) 21
  • (C) 19
  • (D) 18

Question 6:

If \( z = 2(\cos 60^\circ + i \sin 60^\circ) \), find the value of \( z^3 \).


Question 7:

Find the coordinates of the point which divides the line segment joining \((2, -3)\) and \((7, 9)\) in the ratio \(3:2\).


Question 8:

How many 4-digit numbers can be formed using the digits 1, 2, 3, 4, 5 without repetition such that the number is divisible by 5?

  • (A) 24
  • (B) 48
  • (C) 60
  • (D) 120

Question 9:

For the reaction \( \mathrm{N_2} + 3\mathrm{H_2} \rightleftharpoons 2\mathrm{NH_3} \), the equilibrium constant \(K_c\) is 0.5 at a certain temperature. If initially, 1 mole of \(\mathrm{N_2}\) and 3 moles of \(\mathrm{H_2}\) are placed in a 1 L container, what is the equilibrium concentration of \(\mathrm{NH_3}\)?


Question 10:

The standard reduction potentials are: \[ \mathrm{Cu^{2+} + 2e^- \rightarrow Cu} \quad E^\circ = +0.34\,V \] \[ \mathrm{Zn^{2+} + 2e^- \rightarrow Zn} \quad E^\circ = -0.76\,V \]

Calculate the standard cell potential for the reaction: \[ \mathrm{Zn + Cu^{2+} \rightarrow Zn^{2+} + Cu} \]

  • (A) 1.10 V
  • (B) 0.42 V
  • (C) -1.10 V
  • (D) -0.42 V

Question 11:

Which of the following reagents can convert an aldehyde to a primary alcohol?

  • (A) PCC (Pyridinium chlorochromate)
  • (B) NaBH\textsubscript{4} (Sodium borohydride)
  • (C) KMnO\textsubscript{4} (Potassium permanganate)
  • (D) HNO\textsubscript{3} (Nitric acid)

Question 12:

An ideal gas expands from 2 L to 6 L at a constant temperature of 300 K. Calculate the work done by the gas if pressure remains constant at 2 atm. (1 atm = \(1.013 \times 10^5\) Pa)


Question 13:

A light wave of wavelength 600 nm passes from air into a medium with refractive index 1.5. What is the wavelength of light in the medium?

  • (A) 400 nm
  • (B) 450 nm
  • (C) 500 nm
  • (D) 600 nm

Question 14:

A wire of length 0.5 m carrying a current of 3 A is placed in a magnetic field of 2 T perpendicular to the wire. What is the force on the wire?

  • (A) 1 N
  • (B) 3 N
  • (C) 0.75 N
  • (D) 6 N

Question 15:

A solid sphere of mass 2 kg and radius 0.5 m rolls without slipping down an inclined plane of height 3 m. What is its speed at the bottom? (Take \( g = 9.8\, m/s^2 \))


Question 16:

The wavelength of a photon is 500 nm. Calculate its energy. (Planck’s constant \( h = 6.63 \times 10^{-34} \, J·s \), speed of light \( c = 3 \times 10^8 \, m/s \))

  • (A) \( 3.98 \times 10^{-19} \, J \)
  • (B) \( 4.14 \times 10^{-19} \, J \)
  • (C) \( 5.24 \times 10^{-19} \, J \)
  • (D) \( 2.48 \times 10^{-19} \, J \)

Question 17:

Water flows through a horizontal pipe with a velocity of 2 m/s. The cross-sectional area of the pipe reduces to half. What is the velocity of water in the narrower section?

  • (A) 1 m/s
  • (B) 2 m/s
  • (C) 4 m/s
  • (D) 8 m/s

Question 18:

Rearrange the following parts to form a coherent sentence:

(A) Despite the challenges faced by scientists,
(B) they continue to make remarkable progress in understanding the universe,
(C) new discoveries in astrophysics and quantum mechanics,
(D) with many groundbreaking theories being developed every year.

  • (A) A – B – D – C
  • (B) A – C – B – D
  • (C) A – B – C – D
  • (D) B – A – C – D

Question 19:

Rearrange the parts to make a meaningful sentence:

(A) In recent years,
(B) governments around the world have implemented stricter environmental regulations,
(C) to combat the effects of pollution and climate change,
(D) leading to increased awareness and efforts towards sustainability.

  • (A) A – B – C – D
  • (B) B – A – C – D
  • (C) A – C – B – D
  • (D) C – A – B – D

Question 20:

Choose the word which best expresses the meaning of the underlined word.

The manager showed great _________ pragmatism while resolving the conflict at work.

  • (A) Idealism
  • (B) Practicality
  • (C) Emotion
  • (D) Ignorance

Question 21:

Find out which part of the sentence has an error. If there is no error, mark part (d) as your answer.

The team a. / are planning to launch b. / the project next month. c. / No error d.

  • (A) a
  • (B) b
  • (C) c
  • (D) d

BITSAT Topper Strategy on How to Score Good in BITSAT

BITSAT 2O25 27th May Shift  Paper Analysis

Based on initial trends from student reactions on BITSAT 2025, the May 27 Shift 1 paper was of a moderate difficulty level.

The Mathematics and Physics sections were more calculation-based, English and logical reasoning was easy and scoring, and chemistry was based on NCERT-based understanding.

Section Expected Difficulty Key Highlights
Physics Moderate Expected to be a mix of theory and numericals from topics like mechanics and optics
Chemistry Easy to Moderate It will be mostly NCERT-based with more focus on Organic reactions, chemical bonding and physical chemistry.
Mathematics Moderate to Difficult It is expected to be lengthy, with topics like Calculus, Probability, and Coordinate Geometry.
English Proficiency Easy Major comprehension-based questions, vocabulary and grammar.
Logical Reasoning Easy Series, patterns, and analytical puzzles; quick-solve questions with high accuracy.

BITSAT 2025 Topic-Wise Weightage

Knowledge about topic-wise weightage allows students to identify important chapters to prioritise during preparation. BITSAT syllabus is based on NCERT, however, there are always a few topics from the syllabus that occur more frequently every year based on past year papers.

BITSAT 2025 Expected Topic-Wise Weightage

Subject High-Weightage Topics Expected Weightage (%)
Physics
  • Laws of Motion
  • Current Electricity
  • Optics
  • Thermodynamics
  • Electrostatics
6–10% per topic
Chemistry
  • Chemical Bonding
  • Organic Reactions
  • Coordination Compounds
  • Electrochemistry
  • p-Block
6–12% per topic
Mathematics
  • Calculus
  • Vectors & 3D Geometry
  • Probability
  • Complex Numbers
  • Coordinate Geometry
7–15% per topic