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

Two friends are born in the year 2000. The probability that they have the same birthday
cos(90°-θ) sin (90°-θ)=
The value of is \(\frac{tan 65°}{ cot 25°}\) is
A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7 cm. If the bowl is filled with soup to a height of 4 cm, then how many litres of soup the hospital management has to prepare daily to serve 100 patients?
The value of cos1°cos 2°…… cos180° is
The total surface area of a cone with slant height 21 m and diameter of its base 24 m is
\(\frac{2\,tan\,30^0}{1-tan^2\,30^0}=\)
If the radius of a sphere is tripled, then its volume will become
The length of tangent from a point 15 cm away from the centre of a circle of radius 9 cm is
If two circles touch internally, then the number of their common tangents is
If the points A(5, 3), B(8, 5), C(x, y) and D(7, 2) are consecutive vertices of a parallelogram then (x, y) = A(5, 3), B(8, 5), C(x, y)=
The area of the triangle formed by (-1, 2), (2, -1) and (0, 0) is
The midpoint of line segment joining (x, y) and (-7, 5) is (4, 6). Then x=,y=
In an AP the 5th term is 24 and 12th term is 94, then the sum of first 20 terms is
The points A(a, 2), B(3, 1), C(-1, 3) do not form a triangle if a=
A ball is thrown from the top of a building of height 25 m with an initial velocity of 15 m/sec. If the height of the ball h from ground at any point of time t is given by \(h=25+10t-3t^2\). The time taken by the ball to reach the ground is
If the difference of reciprocals of ages of a boy three years ago and five years from now is then the present age of the boy in years is
The roots of a quadratic equation are irrational. Then
Sum of the squares of two consecutive even positive integers is 340. The numbers are
\(f(x)=5x^4-9x^3-3x^2+11x-18\) is divided by \((x-2)\) then the remainder is
If the solutions of ax + by = 2 and bx+y=5 are 4, 6 then a =
The pair of equations 2x+3y= 5 and 6x+ky = 12 has no solution if k=
How many sides will be there in a polygon having 54 diaggonals?
If -1,-2 are two zeros of a polynomial \(2x^3+ax^2+ bx-2\). then \((a, b) =\)
\(\sqrt{3}x + \sqrt{2}y = 2\sqrt{2}\) ; \(\sqrt{2}x - \sqrt{3}y = 3\sqrt{3}\) implies \(x=,y=\)