List of top Mathematics Questions

If \( a \cos \theta + b \sin \theta = 4 \) and \( a \sin \theta - b \cos \theta = 3 \), then the value of \( a^2 + b^2 \) is
The H.C.F. of two consecutive odd numbers is
\( \sqrt{10} \times \sqrt{15} \) is
If H.C.F. of two numbers = 25 and L.C.M = 50, then the product of the numbers will be
If \( q \) is a positive integer, which of the following is an odd positive integer?
If in division algorithm \( a = bq + r \), \( b = 61 \), \( q = 27 \), and \( r = 32 \), what is the value of \( a \)?
In the form of \( \frac{p}{2^n \times 5^m} \), \( 0.105 \) can be written as
If \( 156 = 2^x \times 3^y \times 13^z \), then \( x + y + z = ? \)
The simplest form of \( 0.\overline{3} + 0.\overline{4} \) is
If one side of an equilateral triangle \( ABC \) is 12 cm and one side of equilateral triangle \( DEF \) is 6 cm, then the ratio of areas of \( \frac{\triangle ABC}{\triangle DEF} \) is:
In \( \triangle ABC \), \( AB = 6\sqrt{3} \, \text{cm}, AC = 12 \, \text{cm}, \) and \( BC = 6 \, \text{cm} \), then \( \angle B \) is
The product of two irrational numbers \( 3 + \sqrt{6} \) and \( 3 - \sqrt{5} \) will be a/an
If \( \triangle ABC \) and \( \triangle PQR \) are similar triangles in which \( AD \) is perpendicular from vertex \( A \) to \( BC \) and \( PT \) is perpendicular from vertex \( P \) to \( QR \), \( AD = 9 \, \text{cm} \) and \( PT = 7 \, \text{cm} \), then the ratio of areas of triangle \( \triangle AB \) and triangle \( \triangle PQR \) is
\( \sqrt{\frac{64}{81}} + \sqrt{\frac{16}{9}} \) is
If the ratio of corresponding sides of two similar triangles is 5:6, then the ratio of their perimeters is
If one side of an equilateral triangle is 12 cm, then its height is
If \( P \left( \frac{a}{2}, 4 \right) \) is the midpoint of the line segment joining the points \( A (-6, 5) \) and \( B (-2, 3) \), then the value of \( a \) is
If in \( \triangle ABC \), \( AD \) is the bisector of \( \angle BAC \) and \( AB = \frac{1}{10} \, \text{cm}, AC = 14 \, \text{cm}, BC = 6 \, \text{cm} \), then the value of \( DC \) is
If the sum of the first \( n \) terms of an A.P. is \( (5n - n^2) \), then the common difference of the A.P. is
If three points are collinear, then what is the area of the triangle made by them?
In \( \triangle ABC \), \( DE \parallel BC \) such that \( \frac{AD}{DB} = \frac{3}{5} \). If \( AC = 5.6 \, \text{cm} \), then \( AE \)= ?
If \( A(-1, 0), B(5, -2) \), and \( C(8, 2) \) are the vertices of a triangle, the coordinates of its centroid are
The 2nd term of an A.P. is 13 and its 5th term is 25. The common difference of the A.P. is
Which of the following is an A.P.?
For what value of \( p \), the terms \( (2p + 1), 13, (5p - 3) \) are in A.P.?