List of top Mathematics Questions asked in TS POLYCET

If \( A = \{1, 2, 3, 4, 5\} \) and \( B = \{1, 3, 5, 7\} \), then \( n(A \cap B) = \dots \):
If \( A \) is the set of odd numbers less than 6 and \( B \) is the set of prime factors of 30, then:
If \( \frac{5}{x+1} + \frac{1}{y-3} = 2 \) and \( \frac{6}{x+1} - \frac{3}{y-3} = 1 \), then \( x = \dots \):
If \( \alpha, \beta \) are the roots of \( 2x^2 - 4x + 5 = 0 \), then \( (\alpha + 1)(\beta + 1) = \):
What is the value of \( \csc 31^\circ \sec 59^\circ \)?
$\cot(90^\circ - \theta) = ?$
The value of \( 1 + \sec 19^\circ \sin 71^\circ \) is:
The value of \( \frac{1 - \tan^2 45^\circ}{1 + \tan^2 45^\circ} \) is:
If the pair of equations \( 3x + 4y = k \) and \( 9x + 12y = 6 \) has infinite number of solutions, then the value of k is:
Median of \( x, 20x, \frac{x}{20}, 200x, \frac{x}{200} \) (where \( x>0 \)) is 20, then the value of \( x \) is:
The solution of system of equations \( \frac{x}{2025} + \frac{y}{2026} = 2 \) and \( \frac{2x}{2025} - \frac{y}{2026} = 1 \) is:
The roots of the quadratic equation \( x^2 - 16 = 0 \) are:
In the given figure, if \( \angle AOB = 125^\circ \), then \( \angle COD = \):
In \( \triangle ABC \), \( DE \parallel BC \), if \( AD = x + 1 \), \( DB = 3x - 1 \), \( AE = x \), and \( EC = 4x - 3 \), then the value of \( x \) is:
The distance of point (2, 4) from the x-axis is?
The maximum number of parallel tangents that can be drawn to a circle is:
The roots of quadratic equation \( 2x^2 + x - 4 = 0 \) are:
A regular brick is in the shape of:
All the circles are -------:
If \( a, b, c \) are in A.P., then \( \frac{a - b}{b - c} \) is equal to:
A line which intersects a circle at two points is called as:
\( \log 2 \) is:
The parallelogram circumscribing a circle is a:
If the angle between two radii of a circle is \( 120^\circ \), then the angle between the tangent and the ends of the radii is:
The distance between two parallel tangents of a circle of radius 4 cm is: