List of top Questions asked in Bihar Board Class X Exam

If the product of the zeroes of the polynomial \( x^2 - 9x + a \) is 8, then the value of \( a \) is:
The point \( (2\sqrt{7}, -3) \) lies in which quadrant?
The distance between the points \( (2\cos \theta, 0) \) and \( (0, 2\sin \theta) \) is:
The intersecting point of straight lines \( x = -2 \) and \( y = 3 \) is:
The distance between the points \( (7, -4) \) and \( (-5,1) \) is:
The point on \( y \)-axis which is equidistant from the points \( (5, -2) \) and \( (-3,2) \) is:
The total surface area of a hemisphere of diameter \( 14 \) cm is:
The volume of a cone is \( 1570 \) cm\(^3\). If the area of its base is \( 314 \) cm\(^2\), then its height is:
If \( 2r \) is the radius of a sphere, then its volume is:
What is the 11th term of the A.P. \( -3, -\frac{1}{2}, 2, \dots \) ?
The number of terms in A.P. \( 41, 38, 35, \dots, 8 \) is:
The sum of first 50 terms of the A.P. \( 2, 4, 6, 8, \dots \) is:
How many cubes of side 4 cm can be formed from a cube of side 8 cm?
Three cubes of metal with edges 3 cm, 4 cm, and 5 cm respectively are melted to form a single cube. What is the lateral surface area of the new formed cube?
The radii of two cylinders are in the ratio 2:3 and their heights are in the ratio 5:3. The ratio of their volumes is:
If the curved surface area of a cylinder is \( 1760 \) cm\(^2\) and its base radius is \( 14 \) cm, then its height is:
The external radius of a pipe of metal is \( 4 \) cm and internal radius is \( 3 \) cm. If its length is \( 10 \) cm, then the volume of metal is:
If \( r \) is the radius of the base of a cone and \( l \) is its slant height, then the curved surface area of the cone is:
For what value of \( p \) will the equation \( px^2 - 2x + 3 = 0 \) have real and equal roots?
What is the nature of roots of the quadratic equation \( 6x^2 - 3x + 5 = 0 \)?
If one root of the quadratic equation \( x^2 + x - 20 = 0 \) is \( 4 \), then the other root is:
If \( \alpha \) and \( \beta \) are the roots of the quadratic equation \( x^2 + 6x + 5 = 0 \), then the value of \( \alpha^2 + \beta^2 \) is:
The roots of the quadratic equation \( px^2 - qx + r = 0, \, p \neq 0 \) are:
If \( x = -1 \) is a common root of both the equations \( 2x^2 + 3x + p = 0 \) and \( qx^2 - qx + 4 = 0 \), then the value of \( p + q \) is:
The length, breadth, and height of a cuboid are 15 m, 6 m, and 5 m, respectively. Then the lateral surface area of the cuboid is: