List of top Mathematics Questions

If 1 is one zero of the polynomial \( p(x) = ax^2 - 3(a - 1)x - 1 \), then the value of \( a \) is:
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 \( x^2 - x - (2m + 2) \)?
The zeroes of the polynomial \( x^2 - 13 \) are:
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:
If one zero of the polynomial \( p(x) \) is 5, then one factor of \( p(x) \) is:
Which of the following is not an A.P.?
If \( (2x - 1), 7, 3x \) are in A.P., then what is the value of \( x \)?
If \( a_n \) is the n-th term of the A.P. \( 5, 12, 19, \dots \), then what is the value of \( a_{40} - a_{35} \)?
If the 7th term of an A.P. is 4 and its common difference is 4, then what is its first term?
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:
Which of the following is not a polynomial?
The degree of the polynomial \( (3x^2 - 7x + 2)(2x^4 + 3x^3 - 5x + 2) \) is:
The pair of linear equations \( \frac{3}{2}x + \frac{5}{3}y = 7 \) and \( 9x - 10y = 14 \) is:
If straight lines \( 4x + py = 16 \) and \( 2x + 9y = 15 \) are parallel, then what is the value of \( p \)?
If \( 3x + 4y = 10 \) and \( 2x - 2y = 2 \), then:
The distance covered by a wheel of diameter 42 cm in 2 revolutions is:
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:
The graphs of the equations \( 2x + 3y + 15 = 0 \) and \( 3x - 2y - 12 = 0 \) are which type of straight lines?
The system of linear equations \( 2x - 3y = 5 \) and \( 4x - 6y = 7 \) has:
If \( \sin \theta = \sqrt{2} \cos \theta \), then the value of \( \sec \theta \) is:
If \( A \), \( B \), and \( C \) are angles of a triangle ABC, then the value of \( \csc \left( \frac{A + B}{2} \right) \) is:
If the radius of a circle becomes \( k \) times, then the ratio of the areas of the previous and new circles is:
Evaluate \( 3 \tan^2 60^\circ \):
What is the total perimeter of a semicircle whose radius is \( k \)?