List of top Mathematics Questions asked in TS POLYCET

A Kiddy bank contains hundred 50 paise coins, fifty ₹1 coins, twenty ₹2 coins, and ten ₹5 coins. If one of the coins will fall out when the bank is turned upside down, what is the probability that the coin is a ₹5 coin?
From a helicopter, a person observes an object on the ground at an angle of depression of \(30^\circ\). If the helicopter is flying at a height of 500 m from the ground, then the distance between the person and the object is:
A boy observed the top of an electric pole at an angle of elevation of \(60^\circ\) when the observation point is 6 meters away from the foot of the pole, then the height of the pole is:
A chord of a circle of radius 4 cm is making an angle 60° at the centre, then the length of the chord is:
The volume of a right circular cone with radius 6 cm and height 7 cm is:
(use \(\pi = \frac{22}{7}\))
If two cubes each of volume 64 cm\(^3\) are joined end to end together, then the surface area of the resulting cuboid is:
The roots of the quadratic equation \(x^2 - 4x + 4 = 0\) are:
The area of a sector, whose radius is 7 cm with the angle 72° is:
If \(\csc \theta + \cot \theta = k\), then the value of \(\csc \theta\) is:
If two concentric circles of radii 5 cm and 3 cm are drawn, then the length of the chord of the larger circle which touches the smaller circle is:
Area of the triangle formed by the points \((-5, -1)\), \((3, -5)\) and \((5, 2)\) is:
If the areas of two similar triangles are 81 cm\(^2\) and 49 cm\(^2\) respectively. If the altitude of the smaller triangle is 3.5 cm, then the corresponding altitude of the bigger triangle is:
The centroid of the triangle with vertices \((1, -1)\), \((0, 6)\), and \((-3, 0)\) is:
If -1, -2 are two zeros of a polynomial \(2x^3 + ax^2 + bx - 2\), then the values of \(a\) and \(b\) are
The product of prime factors of 2024 is:
If \(\alpha, \beta\) are the zeros of the polynomial \(P(x) = 3x^2 - x - 4\), then \(\alpha \times \beta =\)
The pair of equations \(x + y = 5\) and \(2x + 2y = k\) has infinitely many solutions if \(k =\)
In \(\triangle ABC\), if \(DE \parallel BC\), \(AE/CE = 3/5\) and \(AB = 5.6\) cm, then \(AD =\):
In △ABC, if DE ∥ BC
A girl of height 90 cm is walking away from the base of a lamp post at a speed of 120 cm/sec. If the lamp post is 360 cm above the ground, then the length of her shadow after 4 seconds is:
In \(\triangle ABC\), if \(DE \parallel BC\), \(AD = x\), \(DB = x - 2\), \(AE = x + 2\), and \(EC = x - 1\), then the value of \(x\) is:
△ABC, if DE ∥ BC, AD = x, DB = x−2,
The coordinates of the point which divides the line segment joining the points \((4, -3)\) and \((8, 5)\) in the ratio 3:1 internally is:
The common ratio of G.P.: \(25, -5, 1, -\frac{1}{5}, \dots\) is:
Sum of the areas of two squares is 625 m\(^2\). If the difference of their perimeters is 20 m, find the sides of the two squares.
One card is selected from a well-shuffled deck of 52 cards, the probability of getting the queen of diamonds is:
\(\{0\}\) is a set which has ........ elements.