List of top Mathematics Questions asked in TS POLYCET

If the ratio of corresponding sides of two similar triangles is \(2:7\), then the ratio of the areas of the triangles is _____.

Reduced and enlarged photographs of an object are _____.

One card is selected at random from a well-shuffled deck of 52 cards. What is the probability of getting a red coloured king?

\( \triangle ABC \sim \triangle DEF \) and their areas are respectively \(75 \text{ cm}^2\) and \(48 \text{ cm}^2\). If \(EF = 4 \text{ cm}\), then \(BC = \_\_\_\_\_ \text{ cm}\).

Two coins are tossed simultaneously. The probability of getting at least one tail is \dots

In \( \triangle ABC \), \( DE \parallel BC \), \( \frac{AD}{DB} = \frac{2}{3} \) and \( AC = 2.5 \text{ cm} \), then \( AE = \_\_\_\_\_ \text{ cm}\).

In \( \triangle ABC \), \( DE \parallel AB \), \( AD = x + 1 \), \( CD = x + 3 \), \( BE = x + 4 \) and \( CE = x + 7 \), then the value of \( x \) is _____.

If \( \sec \theta + \tan \theta = p \), then \( \sec \theta - \tan \theta = \dots \) “‘latex id="n7o3ls"

What is the centroid of the triangle whose vertices are (6, 2), (2, 3) and (4, -8)?

The value of $\log_7 343$ is “‘latex id="m22nlf"

If \( 0^\circ < A < 90^\circ \), then simplify \( \sqrt{\frac{1+\sin A}{1-\sin A}} \) “‘latex id="76r4p8"

A ladder 15 m long reaches a window 12 m above the ground. Find the distance of the foot of the ladder from the building.

A survey conducted on 20 households in a locality resulted in the following frequency table. The mode of the data is:

The LCM of 8, 9 and 25 is

It is observed that the top of an electric pole is at an angle of elevation of $45^\circ$. The observation point is 8 meters away from the foot of the pole. What is the height of the electric pole?

What is the value of '$k$' for which the points $(-1, 2)$, $(1, 4)$ and $(3, k)$ are collinear?

If $q$ is an integer, then which of the following is a positive odd integer?

If $ A, B $ and $ C $ are interior angles of a triangle $ ABC $, then $ \tan\left(\frac{A+B}{2}\right) = \dots $

The distance between the points $ (0, 0) $ and $ (6, 5) $ is

The coordinates of the points of trisection of the line segment joining the points $ (3, 2) $ and $ (6, -4) $ are

Suppose you are shooting an arrow from the top of a building of height 6 m to a target on the ground at an angle of depression of $60^\circ$. What is the distance between you and the object?

The decimal expansion of $\frac{43}{2^4 \cdot 5^3}$ will terminate after how many places?

If $ A = \{a, b, c, d\} $ and $ B = \{d, c, b, a\} $ then

Which of the following rational number has a terminating decimal form?

Which of the following is a finite set?