BCECE 2026 Mathematics Question Paper with Solutions

BCECE 2026 Mathematics Question Paper with Solution PDF is available for download here. The BCECE 2026 exam was conducted on May 30, 2026, in offline mode for subject combinations PCM, PCB, and PCA at various exam centres across Bihar.

The BCECE 2026 Mathematics question paper consisted of 100 objective-type questions, to be completed in 90 minutes, carrying a total of 400 marks.

Also Check: BCECE 2026 Physics Question Paper with Solutions

BCECE 2026 Mathematics Question Paper with Solution PDF

BCECE 2026 Mathematics Question Paper	Download PDF	Check Solution

Question 1:

For \( I = \begin{bmatrix} 1 & 0
0 & 1 \end{bmatrix} \), if \( A = \begin{bmatrix} a & b
c & -a \end{bmatrix} \) be such that \( A^2 = I \), then :

(1) \( 1 + a^2 + bc = 0 \)
(2) \( 1 - a^2 - bc = 0 \)
(3) \( 1 - a^2 + bc = 0 \)
(4) \( 1 + a^2 - bc = 0 \)

View Solution

Question 2:

If \( x = at^4 \) and \( y = 2at^2 \), then \( \frac{d^2y}{dx^2} \) is equal to :

(1) \( -\frac{1}{4at^4} \)
(2) \( -\frac{2}{t^3} \)
(3) \( -\frac{1}{t} \)
(4) \( -\frac{1}{2at^6} \)

View Solution

Question 3:

If \( \begin{bmatrix} 1 & 3
4 & 5 \end{bmatrix} \begin{bmatrix} x
2 \end{bmatrix} = \begin{bmatrix} 5
6 \end{bmatrix} \), then value of \( x \) is :

(1) \( 1 \)
(2) \( 0 \)
(3) \( -1 \)
(4) \( 3 \)

View Solution

Question 4:

Let \( f(x) = x^3 - 6x^2 + 12x - 3 \), then at \( x = 2 \), \( f(x) \) has :

(1) a maximum
(2) a minimum
(3) both a maximum and a minimum
(4) neither a maximum nor a minimum

View Solution

Question 5:

The integral of the function \( \frac{1}{9 - 4x^2} \) is :

(1) \( \frac{1}{22} \log_e \left| \frac{3+x}{3-x} \right| + C \)
(2) \( \frac{1}{12} \log_e \left| \frac{3+2x}{3-2x} \right| + C \)
(3) \( \frac{1}{2} \log_e \left| \frac{7+x}{7-x} \right| + C \)
(4) \( \frac{1}{12} \log_e \left| \frac{3-2x}{3+2x} \right| + C \)

View Solution

Question 6:

The interval, in which the function \( f(x) = \frac{3}{x} + \frac{x}{3} \) is strictly decreasing, is :

(1) \( (-\infty, -3) \cup (3, \infty) \)
(2) \( (-3, 3) \)
(3) \( (-3, 0) \cup (0, 3) \)
(4) \( \mathbb{R} - \{0\} \)

View Solution

Question 7:

The exponent of 7 in \( ^{100}C_{50} \) is :

(A) \( 4 \)
(B) \( 2 \)
(C) \( 1 \)
(D) \( 0 \)

View Solution

Question 8:

If \( 0 < r < s \le n \) and \( ^nP_r = ^nP_s \), then the value of \( (r - s) \) is :

(A) \( -1 \)
(B) \( -2n - 1 \)
(C) \( -2 \)
(D) \( -2n - 2 \)

View Solution

Question 9:

Five candidates are contesting an election, and three members are to be elected. A voter can vote for any number of candidates, but not more than the number of members to be elected. The number of ways a person can cast their vote is :

(A) \( 5 \)
(B) \( 15 \)
(C) \( 20 \)
(D) \( 25 \)

View Solution

Question 10:

The product of first \( n \) odd natural numbers is :

(A) \( (^{2n}C_n) (^nP_n) \)
(B) \( (1/2) (^{2n}C_n) (^nP_n) \)
(C) \( (1/2^n) (^{2n}C_n) (^nP_n) \)
(D) \( (1/2^{2n}) (^{2n}C_n) (^nP_n) \)

View Solution

BCECE 2026 Mathematics Marking Scheme

Parameter	Details
Total Questions	100
Total Marks	400
Marks for Correct Answer	+4 Marks
Marks for Wrong Answer	-1 Mark
Marks for Unattempted Question	0 Marks
Type of Questions	Objective Type (MCQs)
Exam Duration	90 Minutes

BIHAR BCECE 2026 Mathematics PYQs

BCECE Questions

1.
Let \( f(x) = x^3 - 6x^2 + 12x - 3 \), then at \( x = 2 \), \( f(x) \) has :

a maximum
a minimum
both a maximum and a minimum
neither a maximum nor a minimum

View Solution

2.
The product of first \( n \) odd natural numbers is :

\( (^{2n}C_n) (^nP_n) \)
\( (1/2) (^{2n}C_n) (^nP_n) \)
\( (1/2^n) (^{2n}C_n) (^nP_n) \)
\( (1/2^{2n}) (^{2n}C_n) (^nP_n) \) Correct Answer: (C) \( (1/2^n) (^{2n}C_n) (^nP_n) \) Solution:

View Solution

3.
The interval, in which the function \( f(x) = \frac{3}{x} + \frac{x}{3} \) is strictly decreasing, is :

\( (-\infty, -3) \cup (3, \infty) \)
\( (-3, 3) \)
\( (-3, 0) \cup (0, 3) \)
\( \mathbb{R} - \{0\} \)

View Solution

4.
If \( x = at^4 \) and \( y = 2at^2 \), then \( \frac{d^2y}{dx^2} \) is equal to :

\( -\frac{1}{4at^4} \)
\( -\frac{2}{t^3} \)
\( -\frac{1}{t} \)
\( -\frac{1}{2at^6} \)

View Solution

5.
If \( \begin{bmatrix} 1 & 3 \\ 4 & 5 \end{bmatrix} \begin{bmatrix} x \\ 2 \end{bmatrix} = \begin{bmatrix} 5 \\ 6 \end{bmatrix} \), then value of \( x \) is :

\( 1 \)
\( 0 \)
\( -1 \)
\( 3 \)

View Solution

6.
For \( I = \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix} \), if \( A = \begin{bmatrix} a & b \\ c & -a \end{bmatrix} \) be such that \( A^2 = I \), then :

\( 1 + a^2 + bc = 0 \)
\( 1 - a^2 - bc = 0 \)
\( 1 - a^2 + bc = 0 \)
\( 1 + a^2 - bc = 0 \)

View Solution

BCECE 2026 Mathematics Question Paper with Solutions

BCECE 2026 Mathematics Question Paper with Solution PDF

BCECE 2026 Mathematics Marking Scheme

BIHAR BCECE 2026 Mathematics PYQs

BCECE Questions

1.
Let \( f(x) = x^3 - 6x^2 + 12x - 3 \), then at \( x = 2 \), \( f(x) \) has :

2.
The product of first \( n \) odd natural numbers is :

3.
The interval, in which the function \( f(x) = \frac{3}{x} + \frac{x}{3} \) is strictly decreasing, is :

4.
If \( x = at^4 \) and \( y = 2at^2 \), then \( \frac{d^2y}{dx^2} \) is equal to :

5.
If \( \begin{bmatrix} 1 & 3 \\ 4 & 5 \end{bmatrix} \begin{bmatrix} x \\ 2 \end{bmatrix} = \begin{bmatrix} 5 \\ 6 \end{bmatrix} \), then value of \( x \) is :

6.
For \( I = \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix} \), if \( A = \begin{bmatrix} a & b \\ c & -a \end{bmatrix} \) be such that \( A^2 = I \), then :

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BCECE 2026 Mathematics Question Paper with Solution PDF

BCECE 2026 Mathematics Marking Scheme

BIHAR BCECE 2026 Mathematics PYQs

BCECE Questions

1.Let \( f(x) = x^3 - 6x^2 + 12x - 3 \), then at \( x = 2 \), \( f(x) \) has :

2.The product of first \( n \) odd natural numbers is :

3.The interval, in which the function \( f(x) = \frac{3}{x} + \frac{x}{3} \) is strictly decreasing, is :

4.If \( x = at^4 \) and \( y = 2at^2 \), then \( \frac{d^2y}{dx^2} \) is equal to :

5.If \( \begin{bmatrix} 1 & 3 \\ 4 & 5 \end{bmatrix} \begin{bmatrix} x \\ 2 \end{bmatrix} = \begin{bmatrix} 5 \\ 6 \end{bmatrix} \), then value of \( x \) is :

6.For \( I = \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix} \), if \( A = \begin{bmatrix} a & b \\ c & -a \end{bmatrix} \) be such that \( A^2 = I \), then :

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1.
Let \( f(x) = x^3 - 6x^2 + 12x - 3 \), then at \( x = 2 \), \( f(x) \) has :

2.
The product of first \( n \) odd natural numbers is :

3.
The interval, in which the function \( f(x) = \frac{3}{x} + \frac{x}{3} \) is strictly decreasing, is :

4.
If \( x = at^4 \) and \( y = 2at^2 \), then \( \frac{d^2y}{dx^2} \) is equal to :

5.
If \( \begin{bmatrix} 1 & 3 \\ 4 & 5 \end{bmatrix} \begin{bmatrix} x \\ 2 \end{bmatrix} = \begin{bmatrix} 5 \\ 6 \end{bmatrix} \), then value of \( x \) is :

6.
For \( I = \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix} \), if \( A = \begin{bmatrix} a & b \\ c & -a \end{bmatrix} \) be such that \( A^2 = I \), then :