WBJEE Mathematics Sample Paper II

Question 1

The value of

Accepted Answer

2

Answer

1

Answer

&ndash; 1

Answer

4

Question 2

The number of points of intersection of

Accepted Answer

4

Answer

1

Answer

2

Answer

none of the above

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 – x²and g(x) = 3x – 4 , then the value of (fog)(–1) is

Accepted Answer

&ndash; 44

Answer

&ndash; 54

Answer

&ndash; 32

Answer

&ndash; 64

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

Accepted Answer

one&ndash;one

Answer

bijective

Answer

onto

Answer

many&ndash;one

Question 5

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

Accepted Answer

I

Answer

0

Answer

I &ndash; A

Answer

I + A

Question 6

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

Accepted Answer

0

Answer

1

Answer

&ndash; 1

Answer

2

Question 7

If then A^–1 is

Accepted Answer

Question 8

. The value of

Accepted Answer

Answer

Answer

e

Answer

Question 9

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

Accepted Answer

7/16

Answer

9/16

Answer

1/9

Answer

7/9

Question 10

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

Accepted Answer

576

Answer

96

Answer

144

Answer

512

Question 11

If then n is just greater than integer

Accepted Answer

7

Answer

5

Answer

6

Answer

4

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

Accepted Answer

Answer

Answer

Answer

Question 13

will be divisible by

Accepted Answer

7

Answer

25

Answer

8

Answer

3

Question 14

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

Accepted Answer

258

Answer

259

Answer

230

Answer

229

Question 15

If (1 – x + x²)ⁿ= a₀ + a₁ x +.....+ a_2n x²ⁿ , then the value of a₀ + a₂ + a₄ + ....... + a_2n is

Accepted Answer

Answer

Answer

Answer

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

Accepted Answer

x² + x + 1 = 0

Answer

x² – x + 1 = 0

Answer

x² – x – 1 = 0

Answer

x² + x – 1 = 0

Question 17

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

Accepted Answer

real, irrational and unequal

Answer

imaginry

Answer

real, rational and equal

Answer

real, rational and unequal

Question 18

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

Accepted Answer

no solution

Answer

only positive solutions

Answer

only negative solutions

Answer

both positive and negative solution

Question 19

is complex conjugate of z )

Accepted Answer

Answer

2 (1 + i)

Answer

(1 + i)

Answer

Question 20

Accepted Answer

&pi;

Answer

Answer

&pi;/2

Answer

Question 21

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

Accepted Answer

20/36

Answer

1/36

Answer

3/36

Answer

11/36

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

Accepted Answer

1.1

Answer

0.9

Answer

0.15

Answer

1.2

Question 23

The value of

Accepted Answer

3

Answer

1

Answer

6

Answer

2/3

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

Accepted Answer

1

Answer

2

Answer

&ndash; 1

Answer

1/2

Question 25

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

Accepted Answer

n² (2n² – 1)

Answer

n³ (n – 1)

Answer

n³ + 8n + 4

Answer

2n⁴ + 3n²

Question 26

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

Accepted Answer

5, 20

Answer

4, 25

Answer

2, 50

Answer

1, 100

Question 27

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

Accepted Answer

Answer

Answer

n = 1

Answer

n = &ndash; 1

Question 28

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

Accepted Answer

Answer

Answer

Answer

Question 29

If then value of 2 sinA + 4 sinB is

Accepted Answer

&ndash; 4

Answer

4

Answer

&ndash; 2

Answer

0

Question 30

The value of

Accepted Answer

2

Answer

0

Answer

3

Answer

1

WBJEE Sample Papers, Section Wise & Full Mathematics Paper II Free Online

MCQ Practice Test & Solutions: WBJEE Mathematics Sample Paper II (80 Questions)

The value of

The number of points of intersection of

Let R be the set of real numbers and the mapping f : R → R and g : R → R be defined by f(x) = 5 – x²and g(x) = 3x – 4 , then the value of (fog)(–1) is

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

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

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

If then A^–1 is

. The value of

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

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

If then n is just greater than integer

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

will be divisible by

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

If (1 – x + x²)ⁿ= a₀ + a₁ x +.....+ a_2n x²ⁿ , then the value of a₀ + a₂ + a₄ + ....... + a_2n is

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

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

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

is complex conjugate of z )

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

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

The value of

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

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

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

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

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

If then value of 2 sinA + 4 sinB is

The value of

WBJEE Sample Papers, Section Wise & Full Mock Tests 2026

WBJEE Sample Papers, Section Wise & Full Mock Tests 2026

Top Courses for JEE

Schools

Competitive Exams

International Exams

Quick Links

About this JEE Practice Test

Explore more JEE Study Resources

WBJEE Sample Papers, Section Wise & Full Mathematics Paper II Free Online

MCQ Practice Test & Solutions: WBJEE Mathematics Sample Paper II (80 Questions)

The value of

The number of points of intersection of

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

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

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

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

If then A–1 is

. The value of

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

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

If then n is just greater than integer

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

will be divisible by

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

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

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

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

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

is complex conjugate of z )

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

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

The value of

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

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

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

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

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

If then value of 2 sinA + 4 sinB is

The value of

WBJEE Sample Papers, Section Wise & Full Mock Tests 2026

WBJEE Sample Papers, Section Wise & Full Mock Tests 2026

Top Courses for JEE

About this JEE Practice Test

Explore more JEE Study Resources

Let R be the set of real numbers and the mapping f : R → R and g : R → R be defined by f(x) = 5 – x²and g(x) = 3x – 4 , then the value of (fog)(–1) is

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

If then A^–1 is

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

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

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

If (1 – x + x²)ⁿ= a₀ + a₁ x +.....+ a_2n x²ⁿ , then the value of a₀ + a₂ + a₄ + ....... + a_2n is

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

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

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

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