List of top Mathematics Questions asked in Andhra Pradesh Polytechnic Common Entrance Test

The roots of \(2x-\frac{2}{x}= 3\) are 
\(\sqrt{3}x + \sqrt{2}y = 2\sqrt{2}\) ; \(\sqrt{2}x - \sqrt{3}y = 3\sqrt{3}\) implies \(x=,y=\)
n(A)=8, n(B)=9, n(A∩B)=6 where A and B are two sets, then n(AUB)=
\(2^x=(0.2)^y=100\), then implies \(\frac{1}{x}-\frac{1}{y}=\)
A composite number can be written as a product of prime numbers in
The HCF and LCM of 48, 72 and 60 are
\((A-B)∪(B-A)=\)
If \(-75=9a+b\) where \(0 ≤ b <9\),\( a, b\) are unique integers, then \(b =\)
If A is the set formed by the letters of the word 'POSSESSIVENESS' then n(A) =
An organization wants to find out the most popular TV serial and conducts a survey. Which measure of central tendency is preferred for the data?
For the data 6, 2, 9, 11, 3, 4, 9, 7, 13, 1, which of the following is true?
Following is data from a child-care center find the mode of data
Age Group0-22-44-66-88-10
Number of children57322
The set defined by \(A = \{ n \in \mathbb{N} \mid (1 + n^2) < 50 \}\) , where N is the set of natural numbers, then the mean value of elements of A is
Which of the following does not represent probability of an event?
In a frequency table of interval size h, with usual notations, the relation between the actual mean \(\overline{a}\), assumed mean a and the mean of deviations, \(\overline{d}\) is
The length, breadth and height of a room are 10 m, 10√2 m and 10 m respectively. The angle of elevation of a top corner of room from any point on a diagonal of the base of the room is
If \(\cos^ 4\theta - \sin^ 4\theta = \frac{1}{2}\),then \(θ=\)
A solution of \(2\cos^2 x - 3\cos x + 1 = 0\) is
If a dice is thrown twice, then the number of sample events is
A circular area is marked on a rectangular patch as a target for a certain game. A player is declared winner if a ball thrown lands in the circular area. Then what is the winning probability for a participant given that the dimensions of rectangle are 2 m and 3 m while the radius of circle is 0.5 m?
A circular area is marked
From a well-shuffled pack of cards, the probability of drawing a red-coloured ace is
A box contains 42 blue and 22 black pens. A student wants to buy a blue pen. He picks up a pen at random and found it to be black. Holding the pen in his hand, he picks up another one at random without looking inside the box. What is the probability that the second pen is blue one?
A square of side 7 cm encloses a circle touching all its four sides. Then the area enclosed between the square and the circle is
The diameter of a sphere is equal to the height of the cone of equal volume. If r and R are the radii of cone and sphere respectively, then r2 =
The value of \((1 + \cos x)(1 + \cot^2 x)(1 - \cos x)\) =