BITSAT 2025 Question Paper June 23 Shift 2 (Available): Download Solutions with Answer Key

The BITS Pilani is conducting BITSAT 2025 on June 23, 2025, shift 2 from 2:00 P.M. to 05:00 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 year question papers, 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 – Memory Based

BITSAT 2025 Question Paper with Answer Key June 23 Shift 2
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Question 1:

What is the value of $\int \frac{1}{x^2 + 1} \, dx$?

(1) $\ln|x + 1| + C$
(2) $\tan^{-1}x + C$
(3) $\ln|x - 1| + C$
(4) $\tan^{-1}(x^2) + C$

View Solution

Question 2:

Solve the system of equations: $x + y = 3$, $x - y = 1$.

(1) $x = 1, y = 2$
(2) $x = 2, y = 1$
(3) $x = 3, y = 0$
(4) $x = 0, y = 3$

View Solution

Question 3:

Find the equation of the tangent to the curve $y = x^2$ at the point (1,1).

(1) $y = 2x - 1$
(2) $y = 2x + 1$
(3) $y = x - 1$
(4) $y = x + 1$

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Question 4:

What is the area of a circle with diameter 10 cm?

(1) $25\pi \, cm^2$
(2) $50\pi \, cm^2$
(3) $100\pi \, cm^2$
(4) $200\pi \, cm^2$

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Question 5:

A body of mass 2 kg is moving with a velocity of 3 m/s. What is its kinetic energy?

(1) 6 J
(2) 9 J
(3) 12 J
(4) 18 J

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Question 6:

What is the unit of electric field?

(1) Newton
(2) Coulomb
(3) Newton per Coulomb
(4) Coulomb per Newton

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Question 7:

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

(1) It doubles
(2) It halves
(3) It remains the same
(4) It becomes zero

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Question 8:

What is the IUPAC name of CH$_3$CH$_2$OH?

(1) Methanol
(2) Ethanol
(3) Propanol
(4) Butanol

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Question 9:

What is the pH of a solution with [H$^+$] = 10$^{-3}$ M?

(1) 3
(2) 7
(3) 10
(4) 11

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Question 10:

Choose the word most nearly opposite in meaning to "benevolent".

(1) Malevolent
(2) Benign
(3) Kind
(4) Generous

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Question 11:

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

(1) All roses are red.
(2) Some roses are red.
(3) Some flowers are not roses.
(4) None of the above.

View Solution

BITSAT 2O25 June 23rd Paper Analysis

BITSAT 2025 June 23 Shift 2 paper was of a moderate difficulty level.

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

Section	Difficulty	Key Highlights
Physics	Moderate	A mix of theory and numericals from topics like mechanics and optics
Chemistry	Easy to Moderate	It was mostly NCERT-based with more focus on Organic reactions, chemical bonding and physical chemistry.
Mathematics	Moderate to Difficult	It was 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 Questions

1.
Which of the following represents Schotten- Baumann reaction?

formation of amides from amines and acid chlorides/NaOH
formation of amines from amides and $LiAlH _{4}$
formation of amines from amides and $Br _{2} / NaOH$
formation of amides from oxime and $H _{2} SO _{4}$

View Solution

2.
A particle moves with a constant speed of 4 m/s in a circular path of radius 2 m. What is its centripetal acceleration?

8 m/s$^2$
4 m/s$^2$
16 m/s$^2$
2 m/s$^2$

View Solution

3.
If
\[ \int_0^a f(2a - x) \, dx = m \quad \text{and} \quad \int_0^a f(x) \, dx = n, \]
then
\[ \int_0^{2a} f(x) \, dx \]
is equal to:

$2m+n$
$m+2n$
$m-n$
m+n

View Solution

4.
When light is incident on a metal surface, the maximum kinetic energy of emitted electrons:

Varies with intensity of light
Varies with frequency of light
Varies with speed of light
Varies irregularly

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5.
The value of the integral
\[ \int_a^b \frac{\sqrt{x} \, dx}{\sqrt{x} + \sqrt{a + b - x}} \]
is:

$\pi$
$\dfrac{1}{2}(b-a)$
$\dfrac{\pi}{2}$
b-a

View Solution

6.
Value of $ \displaystyle \int_{0}^{\pi/2} \dfrac{\sqrt{\sin x}}{\sqrt{\sin x} + \sqrt{\cos x}} \, dx $ is:

$\frac{\pi}{2}$
$-\frac{\pi}{2}$
$\frac{\pi}{4}$
None of these

View Solution

BITSAT 2025 Question Paper June 23 Shift 2 (Available): Download Solutions with Answer Key

BITSAT 2025 Question Paper with Answer Key PDF – Memory Based

BITSAT 2O25 June 23rd Paper Analysis

BITSAT Questions

1.
Which of the following represents Schotten- Baumann reaction?

2.
A particle moves with a constant speed of 4 m/s in a circular path of radius 2 m. What is its centripetal acceleration?

3.
If
\[ \int_0^a f(2a - x) \, dx = m \quad \text{and} \quad \int_0^a f(x) \, dx = n, \]
then
\[ \int_0^{2a} f(x) \, dx \]
is equal to:

4.
When light is incident on a metal surface, the maximum kinetic energy of emitted electrons:

5.
The value of the integral
\[ \int_a^b \frac{\sqrt{x} \, dx}{\sqrt{x} + \sqrt{a + b - x}} \]
is:

6.
Value of \( \displaystyle \int_{0}^{\pi/2} \dfrac{\sqrt{\sin x}}{\sqrt{\sin x} + \sqrt{\cos x}} \, dx \) is:

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BITSAT 2025 Question Paper with Answer Key PDF – Memory Based

BITSAT 2O25 June 23rd Paper Analysis

BITSAT Questions

1.Which of the following represents Schotten- Baumann reaction?

2.A particle moves with a constant speed of 4 m/s in a circular path of radius 2 m. What is its centripetal acceleration?

3. If \[ \int_0^a f(2a - x) \, dx = m \quad \text{and} \quad \int_0^a f(x) \, dx = n, \] then \[ \int_0^{2a} f(x) \, dx \] is equal to:

4.When light is incident on a metal surface, the maximum kinetic energy of emitted electrons:

5. The value of the integral \[ \int_a^b \frac{\sqrt{x} \, dx}{\sqrt{x} + \sqrt{a + b - x}} \] is:

6.Value of \( \displaystyle \int_{0}^{\pi/2} \dfrac{\sqrt{\sin x}}{\sqrt{\sin x} + \sqrt{\cos x}} \, dx \) is:

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1.
Which of the following represents Schotten- Baumann reaction?

2.
A particle moves with a constant speed of 4 m/s in a circular path of radius 2 m. What is its centripetal acceleration?

3.
If
\[ \int_0^a f(2a - x) \, dx = m \quad \text{and} \quad \int_0^a f(x) \, dx = n, \]
then
\[ \int_0^{2a} f(x) \, dx \]
is equal to:

4.
When light is incident on a metal surface, the maximum kinetic energy of emitted electrons:

5.
The value of the integral
\[ \int_a^b \frac{\sqrt{x} \, dx}{\sqrt{x} + \sqrt{a + b - x}} \]
is:

6.
Value of \( \displaystyle \int_{0}^{\pi/2} \dfrac{\sqrt{\sin x}}{\sqrt{\sin x} + \sqrt{\cos x}} \, dx \) is: