List of top Mathematics Questions asked in Bihar Board Class X Exam

If in \( \triangle ABC \), \( AB = 13 \, \text{cm} \), \( BC = 12 \, \text{cm} \), and the value of \( \angle C \) is:
If the ratio of areas of two equilateral triangles is 9:4, then the ratio of their perimeters is:
In \( \triangle ABC \), \( AD \) is the bisector of \( \angle BAC \). If \( AB = 4 \, \text{cm} \), \( AC = 6 \, \text{cm} \), and \( BD = 2 \, \text{cm} \), then the value of \( DC \) is:
In triangle \( ABC \), \( DE \parallel BC \) such that
\[ \frac{AD}{DB} = \frac{4}{x - 4} \quad \text{and} \quad \frac{AE}{EC} = \frac{8}{3x - 19}, \] then the value of \( x \) is:
The mid-point of the line segment joining the points \( A (-2, 8) \) and \( B (-6, -4) \) is:
If the points \( (1, 2) \), \( (0, 0) \), and \( (a, b) \) are collinear, then:
Two vertices of a triangle \( ABC \) are \( A(2, 3) \) and \( B(1, -3) \). If the centroid is \( (3, 0) \), then the coordinates of the third vertex \( C \) are:
Which of the following numbers cannot be the probability of an event?
In tossing three coins, the number of possible outcomes is:
If the probability of occurrence of an event \( A \) is 0.35, then the probability of non-occurrence of \( A \) is:
In a throw of one die, the probability of occurrence of a number 5 or less than 5 is:
The median of a frequency distribution is 40 and the mean is 38.2. Then its mode is:
The minimum value of a probability is:
If the mean of \( x, x+3, x+5, x+7, x+10 \) is 9, then the value of \( x \) is:
The mean of the first seven multiples of 5 is:
The median of 20, 13, 18, 25, 6, 15, 21, 9, 16, 8, 22 is:
The mode of 23, 15, 25, 25, 40, 27, 25, 22, 25, 22, 25, 20 is:
If \( \alpha \) and \( \beta \) are the zeroes of the polynomial \( x^2 + 5x + 8 \), then the value of \( \alpha^2 + \beta^2 + 2\alpha \beta \) is:
If \( p(x) = x^4 + 2x^3 - 17x^2 - 4x + 30 \) is divided by \( q(x) = x^2 + 2x - 15 \), then the degree of the quotient is:
Which of the following quadratic polynomials has zeroes \( \frac{3}{5} \) and \( -\frac{1}{2} \)?
The zeroes of the polynomial \( x^2 - 13 \) are:
If \( \alpha \) and \( \beta \) are the zeroes of the polynomial \( p(x) = x^2 - 3x - 4 \), then the value of \( \frac{4}{3}(\alpha + \beta) \) is:
For what value of \( m \), \( -4 \) is one of the zeroes of the polynomial \( x^2 - x - (2m + 2) \)?
If one zero of the polynomial \( p(x) \) is 5, then one factor of \( p(x) \) is:
If 1 is one zero of the polynomial \( p(x) = ax^2 - 3(a - 1)x - 1 \), then the value of \( a \) is: