BITSAT 2025 Question Paper June 22 Shift 2 (Available): Download Solutions with Answer Key

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Shivam Yadav

Educational Content Expert | Updated on - Jun 23, 2025

BITSAT Question Paper for June 22, 2025 Shift 2 is available here with Answer Key and Solution PDF. The BITS Pilani is conducting BITSAT 2025 Session 2 from June 22 to June 27, 2025 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 2025 Question Paper with Answer Key PDF

BITSAT 2025 Question Paper with Answer Key June 22 Shift 2
Download PDF Check Solutions
BITSAT Question Paper 2025


Question 1:

A radio wave travels in a medium with refractive index 1.5. What is the speed of light in this medium if the speed of light in vacuum is \(3 \times 10^8 \, m/s\)?

  • (A) \(2 \times 10^8 \, m/s\)
  • (B) \(1.5 \times 10^8 \, m/s\)
  • (C) \(2.5 \times 10^8 \, m/s\)
  • (D) \(1.6 \times 10^8 \, m/s\)

Question 2:

A concave mirror produces an image that is real, inverted, and diminished. What is the position of the object in relation to the mirror?

  • (A) At the focal point
  • (B) Between the focus and the mirror
  • (C) Beyond twice the focal length
  • (D) Between the focus and twice the focal length

Question 3:

In an isobaric process, 200 J of heat is supplied to a gas. The gas does 50 J of work. What is the change in internal energy?

  • (A) 150 J
  • (B) 250 J
  • (C) 100 J
  • (D) 200 J

Question 4:

The rate of a reaction doubles when the temperature is increased by 10°C. What is the approximate value of the activation energy?

  • (A) 60 kJ/mol
  • (B) 100 kJ/mol
  • (C) 120 kJ/mol
  • (D) 150 kJ/mol

Question 5:

What is the major product when 1-bromopropane undergoes nucleophilic substitution with \(OH^-\)?

  • (A) Propan-1-ol
  • (B) Propan-2-ol
  • (C) 1,2-Propanediol
  • (D) Propene

Question 6:

What is the dot product of the vectors \( \mathbf{a} = (2, 3, 1) \) and \( \mathbf{b} = (1, -1, 4) \)?

  • (A) 5
  • (B) 4
  • (C) 7
  • (D) 10

Question 7:

Find the value of the integral: \[ \int_0^\pi \sin^2(x) \, dx. \]

  • (A) 0
  • (B) \( \frac{\pi}{2} \)
  • (C) \( \frac{\pi}{4} \)
  • (D) \( \pi \)

Question 8:

A box contains 5 red balls and 3 blue balls. If two balls are drawn randomly without replacement, what is the probability that one of the balls is red and the other is blue?

  • (A) \( \frac{5}{8} \)
  • (B) \( \frac{15}{28} \)
  • (C) \( \frac{3}{8} \)
  • (D) \( \frac{1}{2} \)

Question 9:

Find the angle between the vectors \( \mathbf{a} = (2, 3, 1) \) and \( \mathbf{b} = (1, -1, 4) \).

  • (A) \( 45^\circ \)
  • (B) \( 60^\circ \)
  • (C) \( 90^\circ \)
  • (D) \( 120^\circ \)

Question 10:

Find the determinant of the matrix \( A = \begin{bmatrix} 2 & 3
4 & 5 \end{bmatrix} \).

  • (A) 0
  • (B) 4
  • (C) 9
  • (D) 25
 

BITSAT 2025 Expected Cutoff

The BITSAT cutoff changes from year to year depending on how difficult the paper was, how candidates performed, and how many seats were available on each campus.

The cutoff for all of the top B.E. branches at BITS Pilani, BITS Goa, and BITS Hyderabad from recent years (2021-2024) usually falls within 270 to 340.

BITSAT 2025 Expected Campus-Wise and Branch-Wise Cutoff

Campus Branch Expected Cutoff (Marks)
BITS Pilani Computer Science 330 – 340
BITS Pilani Electronics & Comm. Engg 310 – 320
BITS Pilani Electrical & Electronics 280 – 300
BITS Goa Computer Science 310 – 320
BITS Goa ECE 280 – 290
BITS Hyderabad Computer Science 300 – 310
BITS Hyderabad ECE 270 – 280
All Campuses B.Pharm 180 – 200

How to Score Good in BITSAT

BITSAT Questions

  • 1.
    What is the pH of a solution with [H\(^+\)] = 10\(^{-3}\) M?

      • 3
      • 7
      • 10
      • 11

    • 2.
      What is the dot product of the vectors \( \mathbf{a} = (2, 3, 1) \) and \( \mathbf{b} = (1, -1, 4) \)?

        • 5
        • 4
        • 7
        • 10

      • 3.
        In a series circuit, if the resistance is doubled, what happens to the current?

          • It doubles
          • It halves
          • It remains the same
          • It becomes zero

        • 4.
          Solve the system of equations: \(x + y = 3\), \(x - y = 1\).

            • \(x = 1, y = 2\)
            • \(x = 2, y = 1\)
            • \(x = 3, y = 0\)
            • \(x = 0, y = 3\)

          • 5.
            If all roses are flowers and some flowers are red, which statement must be true?

              • All roses are red.
              • Some roses are red.
              • Some flowers are not roses.
              • None of the above.

            • 6.
              What is the unit of electric field?

                • Newton
                • Coulomb
                • Newton per Coulomb
                • Coulomb per Newton

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