BITSAT 2025 Question Paper 30th May Shift 1(Available): Download Solutions with Answer Key

The BITSAT 2025 Exam for 30th May 2025 Shift 1 was conducted from 9:00 A.M. to 12:00 P.M. in more than 74 exam centres and over 1.5 lakh candidates to appear for seats at BITS Pilani, Goa and Hyderabad campuses.

The BITSAT 2025 Exam follows a CBT Mode, conducted in 3 hours, including 130 MCQs from Physics ,Chemistry, Mathematics/Biology, English Proficiency and Logical Reasoning.

BITSAT 2025 Question Paper with Answer Key PDF

BITSAT 2025 May 30th Shift 1 Question Paper with Answer Key	Download PDF	Check Solutions

BITSAT 2025 Question Paper With Solutions PDF May 30 Shift 1

Question 1:

The 5th term of an AP is 20 and the 12th term is 41. Find the first term.

(A) 7
(B) 8
(C) 9
(D) 10

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Question 2:

The value of \( \sin^2 30^\circ + \cos^2 60^\circ \) is:

(A) \( \frac{1}{2} \)
(B) 1
(C) \( \frac{3}{4} \)
(D) \( \frac{1}{4} \)

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Question 3:

The sum of the infinite geometric series \( S = \frac{a}{1-r} \) is 24, and the sum of the first three terms is 21. Find \( a \) and \( r \).

(A) \( a = 12, r = \frac{1}{2} \)
(B) \( a = 8, r = \frac{2}{3} \)
(C) \( a = 6, r = \frac{3}{4} \)
(D) \( a = 10, r = \frac{4}{5} \)

View Solution

Question 4:

Find the value of \( \sin 75^\circ \cos 15^\circ + \cos 75^\circ \sin 15^\circ \).

(A) 1
(B) \(\frac{\sqrt{3}}{2}\)
(C) \(\frac{1}{2}\)
(D) \(\frac{\sqrt{2}}{2}\)

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Question 5:

Given the sets \( A = \{ x \mid |x - 2| < 3 \} \) and \( B = \{ x \mid |x + 1| \leq 4 \} \), find \( A \cap B \).

(A) \((-1, 3\)]
(B) \((-2, 3)\)
(C) \((-1, 4)\)
(D) \((-2, 4)\)

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Question 6:

The area of a triangle with vertices at points \( A(1,2) \), \( B(4,6) \), and \( C(k, 8) \) is 5. Find the value of \( k \).

(A) 1
(B) 2
(C) 3
(D) 4

View Solution

Question 7:

A block of mass 5 kg is placed on a frictionless incline of angle \(30^\circ\). What is the acceleration of the block down the incline? (Take \(g = 9.8\, m/s^2\))

(A) \(9.8\, m/s^2\)
(B) \(4.9\, m/s^2\)
(C) \(5.6\, m/s^2\)
(D) \(3.2\, m/s^2\)

View Solution

Question 8:

Two resistors, 4 \(\Omega\) and 6 \(\Omega\), are connected in parallel to a 12 V battery. What is the total current drawn from the battery?

(A) 3 A
(B) 5 A
(C) 4 A
(D) 6 A

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Question 9:

The work function of a metal is 2 eV. What is the threshold frequency for the photoelectric emission?
(Take Planck's constant \( h = 6.63 \times 10^{-34} \, Js \), \( 1 \, eV = 1.6 \times 10^{-19} \, J \))

(A) \(4.8 \times 10^{14} \, Hz\)
(B) \(5.2 \times 10^{14} \, Hz\)
(C) \(6.2 \times 10^{14} \, Hz\)
(D) \(7.4 \times 10^{14} \, Hz\)

View Solution

Question 10:

A 2 kg object is moving with a velocity of 5 m/s on a frictionless surface. It collides elastically with a stationary object of mass 3 kg. Find the velocity of the 3 kg object after the collision.

(A) \(3 \, m/s\)
(B) \(4 \, m/s\)
(C) \(5 \, m/s\)
(D) \(2 \, m/s\)

View Solution

Question 11:

The number of moles of CO\(_2\) produced when 2 moles of C\(_2\)H\(_6\) are completely burnt is:

(A) 6
(B) 8
(C) 12
(D) 4

View Solution

Question 12:

What volume of CO\(_2\) gas at STP is produced by the reaction of 10 g of CaCO\(_3\) with excess HCl?

(A) 4.48 L
(B) 2.24 L
(C) 8.96 L
(D) 11.2 L

View Solution

Question 13:

How many grams of \( \mathrm{Al_2(SO_4)_3} \) are required to produce 10 L of a 0.5 M solution?
(Molar mass = 342 g/mol)

(A) 1710 g
(B) 342 g
(C) 68.4 g
(D) 85.5 g

View Solution

Question 14:

Calculate the empirical formula of a compound containing 40% carbon, 6.7% hydrogen, and 53.3% oxygen by mass.

(A) \( \mathrm{CH_2O} \)
(B) \( \mathrm{C_2H_4O} \)
(C) \( \mathrm{C_3H_6O_3} \)
(D) \( \mathrm{CH_4O} \)

View Solution

BITSAT 30th May 2025 Shift 1 Expected Paper Analysis

The BITSAT 2025 30th May Shift 1 Question Paper is expected to be of the same pattern as of other shifts and it is expected to be of moderate difficulty level same as previous shifts.

Section	Expected Difficulty	High-Weightage Topics Likely	Remarks
Physics	Moderate	Semiconductor Devices Current Electricity Rotational Motion	It is expected to be a mix of numericals and conceptual questions.
Chemistry	Easy to Moderate	Chemical Bonding Thermodynamics Biomolecules	The Questions are expected to be NCERT-Based.
Mathematics	Moderate to Tough	Probability Vectors & 3D Matrices & Determinants	The Exam is expected to be calculation based including multi-step calculations making it time consuming.
English Proficiency	Easy	Synonyms Sentence Correction Reading Comprehension	The Questions are expected to be direct and accurate.
Logical Reasoning	Easy to Moderate	Syllogisms Series Mirror Images	Short and quick to attempt

BITSAT 2025 Important Topics

As per the analysis of previous shifts and previous years there are certain topics in the BITSAT Exam which are more important and asked in every shift as well.

Doing these topics effectively can help the candidates to score better in the exam.

Subject	Important Topics
Physics	Current Electricity Laws of Motion Ray Optics Work Power & Energy Magnetism
Chemistry	Chemical Bonding Thermodynamics Organic Reactions Coordination Compounds
Mathematics	Probability Vectors & 3D Geometry Definite Integration Matrices Complex Numbers
English Proficiency	Synonyms & Antonyms Sentence Improvement Reading Comprehension
Logical Reasoning	Figure Series Syllogisms Coding-Decoding Pattern Completion

BITSAT 2025 Question Paper 30th May Shift 1 (Available): Download Solutions with Answer Key

BITSAT 2025 Question Paper with Answer Key PDF

BITSAT 30th May 2025 Shift 1 Expected Paper Analysis

BITSAT 2025 Important Topics

BITSAT Topper Strategy on How to Score Good in BITSAT

BITSAT Questions

1.
A block of mass 2 kg slides on a frictionless horizontal surface with a velocity of 3 m/s. It collides elastically with another block of mass 3 kg initially at rest. What is the velocity of the 2 kg block after the collision?

2.
A particle of mass 10 kg moving eastwards with a speed 5 m s⁻¹ collides with another particle of same mass moving northwards with the same speed. The two particles coalesce on collision. The new particle of mass 20 kg will move in the north-east direction with velocity:

3.
For all \( n \in \mathbb{N} \), the sum of \( \frac{n^5}{5} + \frac{n^3}{3} + \frac{7n}{15} \) is:

4.
The value of $\frac{3}{4} + \frac{15}{16} +\frac{63}{64} +..... $ upto n terms is

5.
$2^{1/4}. 2^{2/8}. 2^{3/16}. 2^{4/32}......\infty$ is equal to-

6.
If the sum of an infinite GP \( a, ar, ar^2, ar^3, \dots \) is 15 and the sum of the squares of each term is 150, then the sum of the series \( ar^2, a r^4, ar^6, \dots \) is:

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BITSAT 2025 Question Paper with Answer Key PDF

BITSAT 30th May 2025 Shift 1 Expected Paper Analysis

BITSAT 2025 Important Topics

BITSAT Topper Strategy on How to Score Good in BITSAT

BITSAT Questions

1.A block of mass 2 kg slides on a frictionless horizontal surface with a velocity of 3 m/s. It collides elastically with another block of mass 3 kg initially at rest. What is the velocity of the 2 kg block after the collision?

2.A particle of mass 10 kg moving eastwards with a speed 5 m s⁻¹ collides with another particle of same mass moving northwards with the same speed. The two particles coalesce on collision. The new particle of mass 20 kg will move in the north-east direction with velocity:

3.For all \( n \in \mathbb{N} \), the sum of \( \frac{n^5}{5} + \frac{n^3}{3} + \frac{7n}{15} \) is:

4.The value of $\frac{3}{4} + \frac{15}{16} +\frac{63}{64} +..... $ upto n terms is

5.$2^{1/4}. 2^{2/8}. 2^{3/16}. 2^{4/32}......\infty$ is equal to-

6.If the sum of an infinite GP \( a, ar, ar^2, ar^3, \dots \) is 15 and the sum of the squares of each term is 150, then the sum of the series \( ar^2, a r^4, ar^6, \dots \) is:

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1.
A block of mass 2 kg slides on a frictionless horizontal surface with a velocity of 3 m/s. It collides elastically with another block of mass 3 kg initially at rest. What is the velocity of the 2 kg block after the collision?

2.
A particle of mass 10 kg moving eastwards with a speed 5 m s⁻¹ collides with another particle of same mass moving northwards with the same speed. The two particles coalesce on collision. The new particle of mass 20 kg will move in the north-east direction with velocity:

3.
For all \( n \in \mathbb{N} \), the sum of \( \frac{n^5}{5} + \frac{n^3}{3} + \frac{7n}{15} \) is:

4.
The value of $\frac{3}{4} + \frac{15}{16} +\frac{63}{64} +..... $ upto n terms is

5.
$2^{1/4}. 2^{2/8}. 2^{3/16}. 2^{4/32}......\infty$ is equal to-

6.
If the sum of an infinite GP \( a, ar, ar^2, ar^3, \dots \) is 15 and the sum of the squares of each term is 150, then the sum of the series \( ar^2, a r^4, ar^6, \dots \) is: