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

If the points \((a,0),(0,b)\) and \((1,1)\) are collinear, then \(\frac{1}{a}+\frac{1}{b} =\)
If α , β and γ are the zeroes of the cubic polynomial \(2x^3+x^2-13x+6\) , then the value of \(αβγ\) is
A chord of a circle of radius 6 cm is making an angle 60º at the centre. Then the length of the chord is
If the lengths of the diagonals of a rhombus are 24 cm and 10 cm, then each side of the rhombus is
In an arithmetic progression, 25th term is 70 more than the 15th term, then the common difference is
A lot consists of 144 ball pens of which 20 are defective and the others are good.Rafia will buy a pen if it is good but will not buy if it is defective. The shopkeeper draws one pen at random and gives it to her. The probability that she will buy that pen is
A bag contains 3 red balls and 5 black balls. If a ball is drawn at random from the bag, then the probability of getting a red ball is
In a competitive examination, 1 mark is awarded for each correct answer while \(\frac{1}{2}\) mark is deducted for each wrong answer. If a student answered 120 questions and got 90 marks, then the number of questions that the student answered correctly is
The points A(-5,0), B(5,0) and C(0,4) are the vertices of which triangle?
If the height of a conical tent is 3 m and the radius of its base is 4 m, then the slant height of the tent is
If the centroid of the triangle formed by the points \((3,-5),(-7,4)\) and \((10,-k )\) is at the point \((k, –1)\), then the value of k is
In the given \(∆ABC\), if \(DE || BC, AE = a\) units, \(EC = b\) units, \(DE = x \) units and \(BC = y\) units, then which of the following is true?
if DE || BC, AE = a units, EC = b units, DE = x units
If A and B are disjoint sets and \(n(A)=4\) ,\(n(A∪B)=7\), then the value of \(n(B)\) is
The value of tan10º tan15º tan75º tan80º is
The value of \(\frac{1}{\log_3{60}} + \frac{1}{\log_4{60}} + \frac{1}{\log_5{60}}\) is
Which term of the geometric progression \(2,2\sqrt{2},4,…..\)is \(128?\)
The pair of linear equations \(x+2y-5=0\) and \(3x+12y-10=0\) has
For the given data with 50 observations ‘the less than ogive’ and ‘the more than ogive’ intersect at the point (15·5, 20). The median of the data is
If the mean of the following frequency distribution is 15, then the value of y is
x510152025
f686y5
After how many decimal places, the decimal expansion of the rational number \(\frac{25}{2^2\times 5}\) will terminate?
If x – 2 is a factor of the polynomial \(x^3-6x^2+ax-8,\) , then the value of a is
The number of zeroes of the polynomial shown in the graph is
number of zeroes of the polynomial
The area of the circle that can be inscribed in a square of side 10 cm is
Which of the following cannot be the probability of an event?
The X-axis divides the line joining the points A(2,-3) and B(5,6) in the ratio of