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Mathematics
List of top Mathematics Questions
If \( a_n \) is the n-th term of the A.P. \( 5, 12, 19, \dots \), then what is the value of \( a_{40} - a_{35} \)?
Bihar Board X - 2024
Bihar Board X
Mathematics
Arithmetic Progression
If the 7th term of an A.P. is 4 and its common difference is 4, then what is its first term?
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Bihar Board X
Mathematics
Arithmetic Progression
If the sum of the first n terms of an A.P. is \( 4n^2 + 2n \), then the common difference of the A.P. is:
Bihar Board X - 2024
Bihar Board X
Mathematics
Arithmetic Progression
The graphs of the equations \( 2x + 3y + 15 = 0 \) and \( 3x - 2y - 12 = 0 \) are which type of straight lines?
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Bihar Board X
Mathematics
Pair of Linear Equations in Two Variables
The system of linear equations \( 2x - 3y = 5 \) and \( 4x - 6y = 7 \) has:
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Bihar Board X
Mathematics
Pair of Linear Equations in Two Variables
A, B, C, and D are four points on the circumference of a circle of radius 8 cm such that ABCD is a square. Then the area of square ABCD is:
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Bihar Board X
Mathematics
Mensuration
If straight lines \( 4x + py = 16 \) and \( 2x + 9y = 15 \) are parallel, then what is the value of \( p \)?
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Bihar Board X
Mathematics
Pair of Linear Equations in Two Variables
If \( 3x + 4y = 10 \) and \( 2x - 2y = 2 \), then:
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Bihar Board X
Mathematics
Pair of Linear Equations in Two Variables
The pair of linear equations \( \frac{3}{2}x + \frac{5}{3}y = 7 \) and \( 9x - 10y = 14 \) is:
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Bihar Board X
Mathematics
Pair of Linear Equations in Two Variables
The distance covered by a wheel of diameter 42 cm in 2 revolutions is:
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Bihar Board X
Mathematics
Mensuration
If \( \sin \theta = \sqrt{2} \cos \theta \), then the value of \( \sec \theta \) is:
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Bihar Board X
Mathematics
Trigonometry
Evaluate \( 3 \tan^2 60^\circ \):
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Bihar Board X
Mathematics
Trigonometry
If \( A \), \( B \), and \( C \) are angles of a triangle ABC, then the value of \( \csc \left( \frac{A + B}{2} \right) \) is:
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Bihar Board X
Mathematics
Trigonometry
What is the total perimeter of a semicircle whose radius is \( k \)?
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Bihar Board X
Mathematics
Mensuration
If the radius of a circle becomes \( k \) times, then the ratio of the areas of the previous and new circles is:
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Bihar Board X
Mathematics
Mensuration
Evaluate \( 3 \tan^2 60^\circ \):
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Bihar Board X
Mathematics
Trigonometry
In \( L_2 \) form of 0.375, the form of \( q \) is:
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Bihar Board X
Mathematics
Real Numbers
The H.C.F. of two numbers is 15 and L.C.M. is 105. If one of the numbers is 5, then the other number is:
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Bihar Board X
Mathematics
Real Numbers
Evaluate \( \cot 12^\circ \cdot \cot 38^\circ \cdot \cot 52^\circ \cdot \cot 60^\circ \cdot \cot 78^\circ \):
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Bihar Board X
Mathematics
Trigonometry
Which of the following has a terminating decimal expansion?
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Bihar Board X
Mathematics
Real Numbers
In division algorithm \( a = bq + r \), \( b = 43 \), \( q = 31 \) and \( r = 32 \), the value of \( a \) will be:
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Bihar Board X
Mathematics
Real Numbers
If \( q \) is a positive integer, which of the following is an even positive integer?
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Bihar Board X
Mathematics
Real Numbers
What is the reciprocal of \( \sin \theta \times \cot \theta \)?
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Bihar Board X
Mathematics
Trigonometry
The ratio of volumes of two cubes is \( 1 : 64 \). The ratio of their total surface area is:
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Bihar Board X
Mathematics
Mensuration
If the curved surface area of a cylinder is 1760 cm² and its diameter is 28 cm, then its height is:
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Bihar Board X
Mathematics
Mensuration
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