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

n(A)=8, n(B)=9, n(A∩B)=6 where A and B are two sets, then n(AUB)=
\(\sqrt{3}x + \sqrt{2}y = 2\sqrt{2}\) ; \(\sqrt{2}x - \sqrt{3}y = 3\sqrt{3}\) implies \(x=,y=\)
A composite number can be written as a product of prime numbers in
\((A-B)∪(B-A)=\)
If \(-75=9a+b\) where \(0 ≤ b <9\),\( a, b\) are unique integers, then \(b =\)
\(2^x=(0.2)^y=100\), then implies \(\frac{1}{x}-\frac{1}{y}=\)
If A is the set formed by the letters of the word 'POSSESSIVENESS' then n(A) =
The HCF and LCM of 48, 72 and 60 are
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
For the data 6, 2, 9, 11, 3, 4, 9, 7, 13, 1, which of the following is true?
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
Which of the following does not represent probability of an event?
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?
A solution of \(2\cos^2 x - 3\cos x + 1 = 0\) 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
If \(\cos^ 4\theta - \sin^ 4\theta = \frac{1}{2}\),then \(θ=\)
If a dice is thrown twice, then the number of sample events 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?
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
\(\frac{(\sin 30^\circ \cdot \sec 60^\circ + \cos 30^\circ \cdot \csc 60^\circ)}{(\sec 45^\circ \cdot \cot 45^\circ \cdot \csc 45^\circ)}=\)
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 value of \((1 + \cos x)(1 + \cot^2 x)(1 - \cos x)\) =
\(\sqrt{\frac{1 + \sin\theta}{1 - \sin\theta}} + \sqrt{\frac{1 - \sin\theta}{1 + \sin\theta}}=\)