JEE Exam  >  JEE Tests  >  WBJEE Sample Papers, Section Wise & Full Mock Tests 2025  >  WBJEE Mathematics Sample Paper II - JEE MCQ

WBJEE Mathematics Sample Paper II - JEE MCQ


Test Description

30 Questions MCQ Test WBJEE Sample Papers, Section Wise & Full Mock Tests 2025 - WBJEE Mathematics Sample Paper II

WBJEE Mathematics Sample Paper II for JEE 2024 is part of WBJEE Sample Papers, Section Wise & Full Mock Tests 2025 preparation. The WBJEE Mathematics Sample Paper II questions and answers have been prepared according to the JEE exam syllabus.The WBJEE Mathematics Sample Paper II MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for WBJEE Mathematics Sample Paper II below.
Solutions of WBJEE Mathematics Sample Paper II questions in English are available as part of our WBJEE Sample Papers, Section Wise & Full Mock Tests 2025 for JEE & WBJEE Mathematics Sample Paper II solutions in Hindi for WBJEE Sample Papers, Section Wise & Full Mock Tests 2025 course. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free. Attempt WBJEE Mathematics Sample Paper II | 80 questions in 120 minutes | Mock test for JEE preparation | Free important questions MCQ to study WBJEE Sample Papers, Section Wise & Full Mock Tests 2025 for JEE Exam | Download free PDF with solutions
WBJEE Mathematics Sample Paper II - Question 1

The value of  

Detailed Solution for WBJEE Mathematics Sample Paper II - Question 1

WBJEE Mathematics Sample Paper II - Question 2

The number of points of intersection of

Detailed Solution for WBJEE Mathematics Sample Paper II - Question 2

     
    

1 Crore+ students have signed up on EduRev. Have you? Download the App
WBJEE Mathematics Sample Paper II - Question 3

Let R be the set of real numbers and the mapping f : R → R and g : R → R be defined by f(x) = 5 – x2 and g(x) = 3x – 4 , then the value of (fog)(–1) is

Detailed Solution for WBJEE Mathematics Sample Paper II - Question 3

f(g(–1)) = f(–3–4) = f(–7) = 5 – 49 = – 44

WBJEE Mathematics Sample Paper II - Question 4

A = {1, 2, 3, 4}, B = {1, 2, 3, 4, 5, 6} are two sets, and function f : A → B is defined by f(x) =   then the function f is

Detailed Solution for WBJEE Mathematics Sample Paper II - Question 4

WBJEE Mathematics Sample Paper II - Question 5

 If A is a square matrix such that A2 = A, then (I – A)3 + A is equal to

Detailed Solution for WBJEE Mathematics Sample Paper II - Question 5

Given that, A is a square matrix and A2 = A.

Consider (I + A)3, where I is the identity matrix.

Using the identity of (a + b)3 = a3 + b3 + 3ab (a + b), we get;

(I + A)3 = I3 + A3 + 3A2I + 3AI2

= I + A2(A) + 3AI + 3A

= I + A2 + 3A + 3A

= 7A + I {since it is given that A2 = A}

So, (I + A)3 = 7A + I….(1)

Now,

(I + A)3 – 7A = 7A + I – 7A [From (1)]

= I

WBJEE Mathematics Sample Paper II - Question 6

ω is an imaginary cube root of unity and   then one of the values of x is

Detailed Solution for WBJEE Mathematics Sample Paper II - Question 6


   One value of x = 0

*Multiple options can be correct
WBJEE Mathematics Sample Paper II - Question 7

If    then A–1 is

Detailed Solution for WBJEE Mathematics Sample Paper II - Question 7

|A| = – 1 + 8 = 7

WBJEE Mathematics Sample Paper II - Question 8

. The value of 

Detailed Solution for WBJEE Mathematics Sample Paper II - Question 8


WBJEE Mathematics Sample Paper II - Question 9

If sum of an infinite geometric series is 4/3 and its 1st term is 3/4 , then its common ratio is​

Detailed Solution for WBJEE Mathematics Sample Paper II - Question 9


WBJEE Mathematics Sample Paper II - Question 10

The number of permutations by taking all letters and keeping the vowels of the word COMBINE in the odd places is

Detailed Solution for WBJEE Mathematics Sample Paper II - Question 10

Vowels : O, I, E

No. of Odd place : 4
No of ways 

WBJEE Mathematics Sample Paper II - Question 11

If    then n is just greater than integer

Detailed Solution for WBJEE Mathematics Sample Paper II - Question 11


WBJEE Mathematics Sample Paper II - Question 12

If in the expansion of (a – 2b)n , the sum of the 5th and 6th term is zero, then the value of a/b is

Detailed Solution for WBJEE Mathematics Sample Paper II - Question 12


t5 + t6 = 0

WBJEE Mathematics Sample Paper II - Question 13

  will be divisible by 

Detailed Solution for WBJEE Mathematics Sample Paper II - Question 13



∴ divisible by 7

WBJEE Mathematics Sample Paper II - Question 14

Sum of the last 30 coeffivients in the expansion of (1 + x)59 , when expanded in ascending powers of x is

Detailed Solution for WBJEE Mathematics Sample Paper II - Question 14

Total terms = 60
Sum of first 30 terms

WBJEE Mathematics Sample Paper II - Question 15

If (1 – x + x2)n = a0 + a1 x +.....+ a2n x2n , then the value of a0 + a2 + a4 + ....... + a2n is

Detailed Solution for WBJEE Mathematics Sample Paper II - Question 15

x = 1

WBJEE Mathematics Sample Paper II - Question 16

If α,β be the roots of the quadratic equation x2 + x + 1 = 0 then the equation whose roots are α19 , β7 is

Detailed Solution for WBJEE Mathematics Sample Paper II - Question 16

Roots are ω,ω2
Let α = ω,β = ω2
α 19  = ω,β= ω2
∴ Equation remains same i.e. x2 + x+ 1 = 0

WBJEE Mathematics Sample Paper II - Question 17

The roots of the quadratic equation x2  - 2√3x - 22 = 0 are :

Detailed Solution for WBJEE Mathematics Sample Paper II - Question 17

x2  - 2√3x - 22 = 0


∴ Roots are irrational, real, unequl.

WBJEE Mathematics Sample Paper II - Question 18

The qudratic equation x2 + 15 |x| + 14 = 0 has

Detailed Solution for WBJEE Mathematics Sample Paper II - Question 18


Hence no solution

WBJEE Mathematics Sample Paper II - Question 19

  is complex conjugate of z )

Detailed Solution for WBJEE Mathematics Sample Paper II - Question 19


WBJEE Mathematics Sample Paper II - Question 20

Detailed Solution for WBJEE Mathematics Sample Paper II - Question 20


WBJEE Mathematics Sample Paper II - Question 21

. Two dice are tossed once. The probability of getting an even number at the first die or a total of 8 is

Detailed Solution for WBJEE Mathematics Sample Paper II - Question 21

A = getting even no on 1st dice
B = getting sum 8

WBJEE Mathematics Sample Paper II - Question 22

The probability that at least one of A and B occurs is 0.6 . If A and B occur simultaneously with probability 0.3, then P(A') P(B')  is

Detailed Solution for WBJEE Mathematics Sample Paper II - Question 22

    
   

WBJEE Mathematics Sample Paper II - Question 23

The value of 

Detailed Solution for WBJEE Mathematics Sample Paper II - Question 23

WBJEE Mathematics Sample Paper II - Question 24

In a right-angled triangle, the sides are a, b and c, with c as hypotenuse, and . Then the value of  will be​

Detailed Solution for WBJEE Mathematics Sample Paper II - Question 24

c2 = a2 + b2

WBJEE Mathematics Sample Paper II - Question 25

Sum of n terms of the following series 13 + 33 + 53 + 73 + ........ is

Detailed Solution for WBJEE Mathematics Sample Paper II - Question 25

∑ (2n - 1)3

WBJEE Mathematics Sample Paper II - Question 26

G.. M. and H. M. of two numbers are 10 and 8 respectively. The numbers are :

Detailed Solution for WBJEE Mathematics Sample Paper II - Question 26

√ab = 10  ⇒ ab 100


a + b = 25
So a = 5, b = 20

WBJEE Mathematics Sample Paper II - Question 27

The value of n for which  is the geometric mean of x and y is

Detailed Solution for WBJEE Mathematics Sample Paper II - Question 27


WBJEE Mathematics Sample Paper II - Question 28

If angles A, B and C are in A.P., then   is equal to

Detailed Solution for WBJEE Mathematics Sample Paper II - Question 28

2B = A + C

WBJEE Mathematics Sample Paper II - Question 29

If    then value of 2 sinA + 4 sinB is

Detailed Solution for WBJEE Mathematics Sample Paper II - Question 29


WBJEE Mathematics Sample Paper II - Question 30

The value of 

Detailed Solution for WBJEE Mathematics Sample Paper II - Question 30

View more questions
3 videos|10 docs|54 tests
Information about WBJEE Mathematics Sample Paper II Page
In this test you can find the Exam questions for WBJEE Mathematics Sample Paper II solved & explained in the simplest way possible. Besides giving Questions and answers for WBJEE Mathematics Sample Paper II, EduRev gives you an ample number of Online tests for practice

Top Courses for JEE

Download as PDF

Top Courses for JEE