List of top Mathematics Questions asked in TS POLYCET

The pair of equations \(x + y = 5\) and \(2x + 2y = k\) has infinitely many solutions if \(k =\)
The expression \((6 + 5\sqrt{3}) - (4 - 3\sqrt{3})\) is:
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?
Which of the following two sets are equal sets?
The centroid of the triangle with vertices \((1, -1)\), \((0, 6)\), and \((-3, 0)\) is:
One card is selected from a well-shuffled deck of 52 cards, the probability of getting the queen of diamonds is:
If the ratio of corresponding sides of two similar triangles is 2:3, then the ratio of areas of these triangles is:
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:
If \(\triangle ABC\) is a right triangle right angled at \(C\) and let \(BC = a\), \(CA = b\), \(AB = c\) and let \(p\) be the length of perpendicular from \(C\) on \(AB\), then:
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:
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:
Rainfall of a town in a week is 4 cm, 5 cm, 12 cm, 3 cm, 6 cm, 8 cm, and 4 cm, then the average rainfall per day is:
Two dice are thrown at the same time. What is the probability that the sum of the two numbers appearing on the top of the dice is 13?
How many two-digit numbers are divisible by 3?
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:
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,
Two boys on either side of a temple of 45 meters height observe its top at the angles of elevation 30° and 60° respectively. Find the distance between the two boys.
In a G.P. the 3rd term is 24 and 6th is 192, then the 10th term is:
The common ratio of G.P.: \(25, -5, 1, -\frac{1}{5}, \dots\) is:
Which term of the A.P.: \(20, 18, 16, \dots\) is \(-80\)?
The distance between the points \((x_1, y_1)\) and \((x_2, y_2)\) is:
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:
Exponential form of \(\log_b a = c\) is:
If \(P(x) = 11x^8 - 5x^6 + 4x^4 - 7x^2 + 6\), then the degree of \(P(x)\) is
The value of \(\cos 54^\circ \cos 36^\circ - \sin 54^\circ \sin 36^\circ\) is: