List of top Mathematics Questions

The value of \( \left( x - \frac{2}{x} \right) \left( x^2 + 2 + \frac{4}{x^2} \right) \) is equal to:

If \( \tan \theta + \sin \theta = m \) and \( \tan \theta - \sin \theta = n \), then the value of \( m^2 - n^2 \) is:

Find the value of the complementary angle of \( 75^\circ \):

The median of the following data 25, 34, 31, 23, 22, 26, 35, 29, 20, 32 is:

If \( A = 4x + \frac{1}{x} \), then the value of \( A + \frac{1}{A} \) is:

The earth makes a complete rotation about its axis in 24 hours. What angle will it turn in 3 hours 20 minutes?

The length of sides of a triangle are in the ratio 3 : 4 : 5 and its perimeter is 144 cm. The area of the triangle is:

The perpendicular distance between two parallel lines \( 3x + 4y - 6 = 0 \) and \( 6x + 8y + 7 = 0 \) is equal to:

The area of the circle whose circumference is equal to the perimeter of a square of side 11 cm is:

Find the equation of the line passing through the two points \( (3, 5) \) and \( (-4, 2) \):

The value of \( \frac{15}{\sqrt{10} + \sqrt{20} + \sqrt{40} - \sqrt{5} - \sqrt{80}} \) is:

The HCF of two polynomials \( p(x) = 4x^2 (x^2 - 3x + 2) \) and \( q(x) = 12x(x - 2)(x^2 - 4) \) is \( 4x(x - 2) \). The LCM of these polynomials is:

If \( \tan(A + B) = \sqrt{3} \) and \( \cos(A - B) = \frac{\sqrt{3}}{2} \), the values of \( A \) and \( B \) are:

The solution of the equation \( y^{\frac{2}{3}} - 2y^{\frac{1}{3}} = 15 \) is:

The value of \( \log \frac{14}{15} - \log \frac{3}{25} - \log \frac{7}{9} \) is:

If \( \sin x + \sin^2 x = 1 \), then the value of \( \cos^2 x + \cos^4 x \) is:

Angles of a triangle are in ratio 1 : 5 : 12, the biggest angle of this triangle is:

If the side of the cube is 6 cm, then the diagonal of the cube is:

A train passes a telegraph post in 40 seconds moving at a rate of 36 km/h. Then the length of the train is:

The quadratic equation, whose roots are \( \frac{4 + \sqrt{7}}{2} \) and \( \frac{4 - \sqrt{7}}{2} \), is:

The factor of \( a^4 b^4 - 16c^4 \) is:

The value of \( \log_5 \left( \frac{1}{125} \right) \) is:

If points \( (5, 5) \), \( (10, k) \), and \( (-5, 1) \) are collinear, then the value of \( k \) is:

A Verandah of area 90 m\(^2\) is around a room of length 15 m and breadth 12 m. The width of the verandah is: