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Bihar Board Class X Exam
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Mathematics
List of top Mathematics Questions asked in Bihar Board Class X Exam
What is the 11th term of the A.P. \( -3, -\frac{1}{2}, 2, \dots \) ?
Bihar Board X - 2024
Bihar Board X
Mathematics
Arithmetic Progression
The sum of first 50 terms of the A.P. \( 2, 4, 6, 8, \dots \) is:
Bihar Board X - 2024
Bihar Board X
Mathematics
Arithmetic Progression
If \( 2r \) is the radius of a sphere, then its volume is:
Bihar Board X - 2024
Bihar Board X
Mathematics
Geometry
The number of terms in A.P. \( 41, 38, 35, \dots, 8 \) is:
Bihar Board X - 2024
Bihar Board X
Mathematics
Arithmetic Progression
The total surface area of a hemisphere of diameter \( 14 \) cm is:
Bihar Board X - 2024
Bihar Board X
Mathematics
Geometry
The volume of a cone is \( 1570 \) cm\(^3\). If the area of its base is \( 314 \) cm\(^2\), then its height is:
Bihar Board X - 2024
Bihar Board X
Mathematics
Geometry
How many cubes of side 4 cm can be formed from a cube of side 8 cm?
Bihar Board X - 2024
Bihar Board X
Mathematics
Geometry
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?
Bihar Board X - 2024
Bihar Board X
Mathematics
Geometry
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:
Bihar Board X - 2024
Bihar Board X
Mathematics
Geometry
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:
Bihar Board X - 2024
Bihar Board X
Mathematics
Geometry
If the curved surface area of a cylinder is \( 1760 \) cm\(^2\) and its base radius is \( 14 \) cm, then its height is:
Bihar Board X - 2024
Bihar Board X
Mathematics
Geometry
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:
Bihar Board X - 2024
Bihar Board X
Mathematics
Geometry
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:
Bihar Board X - 2024
Bihar Board X
Mathematics
Geometry
For what value of \( p \) will the equation \( px^2 - 2x + 3 = 0 \) have real and equal roots?
Bihar Board X - 2024
Bihar Board X
Mathematics
Quadratic Equations
What is the nature of roots of the quadratic equation \( 6x^2 - 3x + 5 = 0 \)?
Bihar Board X - 2024
Bihar Board X
Mathematics
Quadratic Equations
If one root of the quadratic equation \( x^2 + x - 20 = 0 \) is \( 4 \), then the other root is:
Bihar Board X - 2024
Bihar Board X
Mathematics
Quadratic Equations
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:
Bihar Board X - 2024
Bihar Board X
Mathematics
Quadratic Equations
The roots of the quadratic equation \( px^2 - qx + r = 0, \, p \neq 0 \) are:
Bihar Board X - 2024
Bihar Board X
Mathematics
Quadratic Equations
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:
Bihar Board X - 2024
Bihar Board X
Mathematics
Quadratic Equations
The distance covered by a wheel of radius 14 cm in 5 revolutions is:
Bihar Board X - 2024
Bihar Board X
Mathematics
Geometry
If the area of a circle is equal to the area of a square, then the ratio of their perimeters is:
Bihar Board X - 2024
Bihar Board X
Mathematics
Circles
Which of the following is a quadratic equation?
Bihar Board X - 2024
Bihar Board X
Mathematics
Quadratic Equations
If one root of the quadratic equation \( x^2 + 2kx + 4 = 0 \) is \( 2 \), then the value of \( k \) is:
Bihar Board X - 2024
Bihar Board X
Mathematics
Quadratic Equations
If \( (x + 3) \) is a factor of \( ax^2 + x + 1 \), then the value of \( a \) is:
Bihar Board X - 2024
Bihar Board X
Mathematics
Quadratic Equations
The area of a circle is \( 49\pi \) square cm. Then its diameter is:
Bihar Board X - 2024
Bihar Board X
Mathematics
Geometry
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