Maths · Kendriya Vidyalaya

Practice paper · Bengaluru region

2024-25Class 1280 marks38 questions

23 of its 38 questions are here. The rest have a figure or are still being checked, so for now they're only in the official PDF.

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Source: Kendriya Vidyalaya Sangathan: KVS Bengaluru Region, First Pre Board Examination (2024-25), Class XII Mathematics, Maths, published by KVS. The official PDF

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23 questions

Q1Section A1 mark
$If |adj A| = 144, where A is a square matrix of order 3 \times 3, then |A| =$
1. A $12$
2. B $-12$
3. C $\pm12$
4. D $16$
Q2Section A1 mark
$If [5 2x + 3; 3x - 1 x] is a symmetric matrix, then value of x is :$
1. A $4$
2. B $3$
3. C $2$
4. D $1$
Q3Section A1 mark
$The interval, in which function y = x³ + 6x² + 6 is increasing is :$
1. A $(-\infty, -4) \cup (0, \infty)$
2. B $(-\infty, 4)$
3. C $(-4,0)$
4. D $(-\infty, 0) \cup (4, \infty)$
Q4Section A1 mark
$If B is a non singular matrix of order 3 such that B² = 2B, then the value of |B| =$
1. A $-2$
2. B $2$
3. C $4$
4. D $8$
Q5Section A1 mark
$The integrating factor of the differential equation x dy/dx - y = x²eˣ is :$
1. A $x$
2. B $1/x$
3. C $-x$
4. D $e⁻ˣ$
Q6Section A1 mark
$If the points A(3, -2), B(k, 2) and C(8,8) are collinear, then the value of k is :$
1. A $2$
2. B $-3$
3. C $5$
4. D $-4$
Q7Section A1 mark
$If order of matrix A is 2 \times 3, of matrix B is 3 \times 2 and of matrix C is 3 \times 3, then which one of the following is not defined ?$
1. A $C(A + B')$
2. B $C(A + B')'$
3. C $BAC$
4. D $CB + A'$
Q8Section A1 mark
$If A and B are two events such that P(A) = 0.2, P(B) = 0.4 and P(A \cup B) = 0.5, then the value of P(A/B) is :$
1. A $0.1$
2. B $0.25$
3. C $0.5$
4. D $0.08$