WBJEE 2027 Sample Paper

WBJEE 2027 Sample Paper – Questions with Answers

Note: These are original practice questions created for WBJEE 2027 preparation. They are not official questions released by WBJEEB.

WBJEE 2027 Sample Paper – Mathematics Question 1

If $x+\frac{1}{x}=3$, then the value of $x^2+\frac{1}{x^2}$ is:

1. 5
2. 7
3. 9
4. 11

Answer: B. 7

Solution:

${(x+\frac{1}{x})}^2=x^2+\frac{1}{x^2}+2$

Therefore, $9=x^2+\frac{1}{x^2}+2$

$x^2+\frac{1}{x^2}=7$

Question 2

The determinant

$\left|\begin{array}{cc}2& 3\\ 4& 5\end{array}\right|$

is:

1. -2
2. 2
3. 10
4. -10

Answer: A. -2

Solution:

$2\times 5-3\times 4=10-12=-2$

Question 3

The derivative of $x^3+5x^2-4x+7$ is:

1. $3x^2+10x-4$
2. 3x² + 5x − 4
3. x² + 10x − 4
4. 3x² + 10x + 4

Answer: A. 3x² + 10x − 4

Question 4

If the roots of $x^2-7x+12=0$ are $\alpha ,\beta$, then $\alpha +\beta$ is:

1. 5
2. 7
3. 12
4. -7

Answer: B. 7

Question 5

The value of

${\int }_0^{1}2xdx$

is:

1. 0
2. 1
3. 2
4. 4

Answer: B. 1

WBJEE 2027 Sample Paper – Physics

Question 6

A body starts from rest and accelerates at 2 m/s². Its velocity after 5 seconds is:

1. 5 m/s
2. 10 m/s
3. 15 m/s
4. 20 m/s

Answer: B. 10 m/s

Solution:

$v=u+\mathrm{at}$

$v=0+\left(2\right)\left(5\right)=10\text{m/s}$

Question 7

The SI unit of electric potential is:

1. Ampere
2. Coulomb
3. Volt
4. Ohm

Answer: C. Volt

Question 8

A force of 20 N acts on a body of mass 5 kg. The acceleration produced is:

1. 2 m/s²
2. 4 m/s²
3. 5 m/s²
4. 10 m/s²

Answer: B. 4 m/s²

Solution:

$F=\mathrm{ma}$

$a=\frac{F}{m}=\frac{20}{5}=4\text{m/s²}$

Question 9

The kinetic energy of a body of mass 2 kg moving with velocity 3 m/s is:

1. 3 J
2. 6 J
3. 9 J
4. 18 J

Answer: C. 9 J

Solution:

$\mathrm{KE}=\frac{1}{2}m{v}^2$

$\mathrm{KE}=\frac{1}{2}\left(2\right)\left(3^2\right)=9\text{J}$

Question 10

Which of the following has the highest frequency?

1. Radio waves
2. Microwaves
3. Visible light
4. Gamma rays

Answer: D. Gamma rays

WBJEE 2027 Sample Paper – Chemistry

Question 11

The atomic number of oxygen is:

1. 6
2. 7
3. 8
4. 16

Answer: C. 8

Question 12

The pH of a neutral solution at 25°C is:

1. 0
2. 5
3. 7
4. 14

Answer: C. 7

Question 13

Which gas is evolved when an acid reacts with a carbonate?

1. Oxygen
2. Hydrogen
3. Carbon dioxide
4. Nitrogen

Answer: C. Carbon dioxide

Question 14

The molecular formula of benzene is:

1. C₆H₆
2. C₆H₁₂
3. C₅H₆
4. C₆H₁₀

Answer: A. C₆H₆

Question 15

Which element has the highest electronegativity?

1. Oxygen
2. Chlorine
3. Fluorine
4. Nitrogen

Answer: C. Fluorine

WBJEE 2027 Sample Paper – Answer Key

Question No.	Subject	Answer
1	Mathematics	B
2	Mathematics	A
3	Mathematics	A
4	Mathematics	B
5	Mathematics	B
6	Physics	B
7	Physics	C
8	Physics	B
9	Physics	C
10	Physics	D
11	Chemistry	C
12	Chemistry	C
13	Chemistry	C
14	Chemistry	A
15	Chemistry	C

Disclaimer: This WBJEE 2027 sample paper is created for educational and practice purposes only. It is not an official WBJEEB question paper.