BITSAT 2025 Question Paper

BITSAT 2025 May 26 Question Paper

Time Allowed :3 Hours Maximum Marks :390 Total questions :130

General Instructions
Read the following instructions very carefully and strictly follow them:

1. Duration of Exam: 3 Hours

2. Total Number of Questions: 130 Questions

3. Section-wise Distribution of Questions:

• Physics - 40 Questions

• Chemistry - 40 Questions

• Mathematics - 50 Questions

4. Type of Questions: Multiple Choice Questions (Objective)

5. Marking Scheme: Three marks are awarded for each correct response

6. Negative Marking: One mark is deducted for every incorrect answer.

7. Each question has four options; only one is correct.

8. Questions are designed to test analytical thinking and problem-solving skills.

1

1. If ⃗a = î + 2ĵ − k̂ , ⃗b = 2î − ĵ + 3k̂ , and ⃗c = −î + 3ĵ + 2k̂ , find ⃗a · (⃗b × ⃗c).
(1) 15
(2) −30
(3) 20
(4) −20

2. If the word ”GIFT” is coded using A=1, B=2, ..., Z=26, and each letter’s value is
squared, what is the sum of the coded values?
(1) 166
(2) 216
(3) 234
(4) 252

3. From the top of a 60 m high building, the angles of depression to two points on the
ground on the same side of the building are 30◦ and 60◦ . What is the distance between
the two points?
√
(1) 40 3 m
√
(2) 20 3 m
(3) 60 m
(4) 80 m

4. Maximize z = 3x + 4y subject to x + y ≤ 4, x ≥ 0, y ≥ 0. What is the maximum value
of z ?
(1) 12
(2) 16
(3) 14
(4) 10

5. Find the sum of the series 1 + 3 + 5 + . . . + 99.
(1) 2500
(2) 2400

2

(3) 2600
(4) 2300

6. If p⃗ = 3î − ĵ + 2k̂ , ⃗q = î + 4ĵ − k̂ , and ⃗r = 2î − 3ĵ + 5k̂ , find p⃗ · (⃗q × ⃗r).
(1) 36
(2) −36
(3) 65
(4) −65

7. If the word ”BITS” is coded using A = 1, B = 2, . . . , Z = 26, and the code is the sum of
the squares of each letter’s value, what is the code for the word?
(1) 846
(2) 854
(3) 864
(4) 874

8. Maximize z = 5x + 2y subject to 2x + y ≤ 8, x ≥ 0, y ≥ 0. What is the maximum value
of z ?
(1) 40
(2) 30
(3) 25
(4) 20

9. From the top of a 50 m tall building, the angles of depression to two points on the
ground are 45◦ and 30◦ . Find the distance between the two points.
√
(1) 20( 3 − 1) m
√
(2) 25( 3 − 1) m
√
(3) 30( 3 − 1) m
√
(4) 50( 3 − 1) m

10. A projectile is launched with an initial velocity of 20 m/s at an angle of 30◦ with the
horizontal. What is the maximum height reached by the projectile? (Take g = 10 m/s2 )

3

(1) 5 m
(2) 10 m
(3) 15 m
(4) 20 m

11. How much heat is required to raise the temperature of 2 kg of water from 25◦ C to
75◦ C ? (Specific heat capacity of water c = 4200 J/kg◦ C )
(1) 4.2 × 105 J
(2) 5.0 × 105 J
(3) 3.5 × 105 J
(4) 4.8 × 105 J

12. Which of the following is the correct electronic configuration of Cr (Chromium,
atomic number 24)?
(1) 1s2 2s2 2p6 3s2 3p6 3d4 4s2
(2) 1s2 2s2 2p6 3s2 3p6 3d5 4s1
(3) 1s2 2s2 2p6 3s2 3p6 3d6 4s0
(4) 1s2 2s2 2p6 3s2 3p6 3d3 4s3

13. For the reaction A + B → C , the rate law is found to be rate = k[A]2 [B]. If the
concentration of A is doubled and B is halved, by what factor does the rate change?
(1) 2
(2) 12
(3) 4
(4) 1

14. In the reaction N2 (g) + 3H2 (g) ↔ 2NH3 (g), if the equilibrium constant Kc = 4 × 10−3
at a certain temperature, which of the following is true about the reaction at
equilibrium?
(1) Reactants are favored over products
(2) Products are favored over reactants

4

(3) Reactants and products are equally favored
(4) Reaction does not reach equilibrium

15. In the electrolysis of molten NaCl, what is produced at the cathode?
(1) Chlorine gas
(2) Sodium metal
(3) Hydrogen gas
(4) Oxygen gas

5