BITSAT 2025 Question Paper June 24 Shift 2 (Available): Download Solutions with Answer Key

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Shivam Yadav

Educational Content Expert | Updated on - Jun 24, 2025

The BITSAT 2025 Exam was conducted on 24th June 2025, from 2:00 P.M. to 5:00 P.M. in CBT Mode at more than 74 exam centres across the country.

The BITSAT 2025 Exam is conducted online and consists of 130 MCQs, and candidates are given 3 hours to attempt the exam with each correct answer giving +3 marks and incorrect answers giving -1 marks.

BITSAT 2025 Question Paper with Answer Key PDF – Memory Based

BITSAT 2025 Question Paper with Answer Key June 24 Shift 2
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BITSAT Question Paper 2025

Question 1:

A block of mass 5 kg is placed on a frictionless surface and a force of 20 N is applied horizontally. What is the acceleration of the block?

  • (1) 4 m/s\(^2\)
  • (2) 2 m/s\(^2\)
  • (3) 5 m/s\(^2\)
  • (4) 10 m/s\(^2\)

Question 2:

What is the pH of a 0.01 M solution of HCl?

  • (1) 1
  • (2) 2
  • (3) 3
  • (4) 4

Question 3:

Find the derivative of \( y = \sin(x^2) \) with respect to \( x \).

  • (1) \( \cos(x^2) \)
  • (2) \( 2x \cos(x^2) \)
  • (3) \( \sin(x^2) \cdot 2x \)
  • (4) \( \cos(x^2) \cdot x \)

Question 4:

The equivalent resistance between points A and B in a circuit with two resistors of 6 \(\Omega\) each connected in parallel is:

  • (1) 12 \(\Omega\)
  • (2) 6 \(\Omega\)
  • (3) 3 \(\Omega\)
  • (4) 4 \(\Omega\)

Question 5:

What is the IUPAC name of CH\(_3\)CH(OH)CH\(_3\)?

  • (1) Propan-1-ol
  • (2) Propan-2-ol
  • (3) Ethanol
  • (4) Butan-2-ol

Question 6:

A simple pendulum has a time period of 2 s on Earth’s surface. What is its time period at a height equal to the Earth’s radius (R)? (Acceleration due to gravity at height h is \( g_h = \frac{g}{(1 + h/R)^2} \)).

  • (1) 2 s
  • (2) 2\(\sqrt{2}\) s
  • (3) 4 s
  • (4) \(\sqrt{2}\) s

Question 7:

Solve for \( x \): \( \log_{10}(x^2) = 2 \).

  • (1) 10
  • (2) 100
  • (3) \(\pm 10\)
  • (4) \(\pm 100\)

Question 8:

Choose the word most opposite in meaning to “Candid”:

  • (1) Honest
  • (2) Deceptive
  • (3) Frank
  • (4) Sincere

Question 9:

In a certain code, “CAT” is written as “DBU.” How is “DOG” written in that code?

  • (1) EPH
  • (2) FQI
  • (3) EQH
  • (4) FPH

Question 10:

The work done by a gas during an isothermal expansion from 2 L to 4 L at a constant temperature, with pressure initially at 2 atm, is: (Use \( R = 8.314 \, J/mol·K \), \( T = 300 \, K \)).

  • (1) 281 J
  • (2) 831.4 J
  • (3) 1247.1 J
  • (4) 1662.8 J

BITSAT 2025 Exam Pattern

BITSAT 2025 is conducted in a CBT Mode for admission in B.E., B.Pharm & M.Sc in BITS Pilani campuses.

The BITSAT consists of 130 MCQs, to be solved in 3 hours with 12 bonus questions.

Component Details
Mode of Exam Computer-Based Test (CBT)
Duration 3 Hours (180 Minutes)
Total Questions 130 MCQs + 12 Bonus Questions (if all 130 are attempted)
Total Marks 390 (excluding bonus questions)
Marking Scheme +3 for each correct answer, -1 for each incorrect answer
Section-wise Distribution
  • Physics – 30
  • Chemistry – 30
  • English Proficiency – 10
  • Logical Reasoning – 20
  • Mathematics/Biology – 40
Bonus Questions 12 Optional Questions (4 each from Physics, Chemistry, Maths/Biology)
Question Type Multiple Choice Questions (MCQs)
Language of Paper English

BITSAT Topper Strategy on How to Score Good in BITSAT

BITSAT Questions

  • 1.

    If the roots of the quadratic equation \( ax^2 + bx + c = 0 \) are real and equal, then:

      • \( b^2 - 4ac < 0 \)
      • \( b^2 - 4ac = 0 \)
      • \( b^2 - 4ac > 0 \)
      • \( a + b + c = 0 \)

    • 2.
      Evaluate the integral: $$ \int_0^{\pi/4} \frac{\ln(1 + \tan x)}{\cos x \sin x} \, dx $$

        • \( \frac{\pi}{4} \ln 2 \)
        • \( \frac{\pi}{8} \ln 2 \)
        • \( \ln 2 \)
        • \( \frac{1}{2} \ln 2 \)

      • 3.
        A ball is thrown vertically upward with a speed of 49 m/s. How long will it take to return to the thrower’s hand?

          • 5 s
          • 7 s
          • 10 s
          • 14 s

        • 4.
          If log$_{10}$(x + 1) = 2, what is the value of x?

            • 99
            • 100
            • 101
            • 99.9

          • 5.
            In the reaction \( 2\text{SO}_2 + \text{O}_2 \rightarrow 2\text{SO}_3 \), if 64 g of \(\text{SO}_2\) reacts completely, how many grams of \(\text{SO}_3\) are produced? (Molar mass of \(\text{SO}_2 = 64 \, \text{g/mol}, \text{SO}_3 = 80 \, \text{g/mol}\))

              • 80 g
              • 64 g
              • 100 g
              • 128 g

            • 6.
              If the roots of the quadratic equation \( x^2 - 6x + k = 0 \) are real and distinct, what is the range of values for \( k\)?

                • \( k>9 \)
                • \( k<9 \)
                • \( k>0 \)
                • \( k<0 \)

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