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

\(\cos(36^\circ) \cos(54^\circ) - \sin(36^\circ) \sin(54^\circ)=\)

If \(P = \{3m : m \in \mathbb{N}\}\) and  \(Q = \{3m : m \in \mathbb{N}\}\) are two sets, then

If the LCM of 12 and 42 is 10m + 4, then the value of m is

If the geometric progressions 162, 54, 18, ..... and \(\frac{2}{81},\frac{2}{27},\frac{2}{9}\),…have their nth term equal, then the value of n is

Which of the following is not a quadratic equation?

If \(tan\ \theta=\sqrt{3}\), then the value of \(sec\ θ\) is

If \(\tan \theta + \cot \theta = 5\),then the value of \(\tan^2 \theta + \cot^2 \theta\) is

If the radius of the base of a right-circular cylinder is halved, keeping the height same, then the ratio of the volume of the cylinder thus obtained to the volume of original cylinder is

If one root of the quadratic equation \(a(b-c)x^2+b(c-a)x+c(a-b)=0\) is 1, then the other root is

For any natural number n, \(9^n\) cannot end with which one of the following digits?

If AM and PN are the altitudes of two similar triangles \(∆ABC\) and \(∆PQR\) respectively and \((AB)^ 2 : (PQ) ^2 = 4 : 9\), then \(AM : PN =\)

If the lengths of the diagonals of a rhombus are 24 cm and 10 cm, then each side of the rhombus is

If four vertices of a parallelogram are (-3,-1),(a,b),(3,3) and (4,3) taken in order,then the ratio of a and b is

If the sum and product of the roots of the quadratic equation \(kx^2+6x+4k=0\) are equal, then the value of k is

In two concentric circles, a chord of length 24 cm of larger circle becomes a tangent to the smaller circle whose radius is 5 cm. Then the radius of the larger circle is

In the given figure, PA is the tangent drawn from an external point P to the circle with center O. If the radius of the circle is 3 cm and PA = 4 cm, then the length of PB 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

The median of the first 10 prime numbers is

The modal class for the following frequency distribution is

x	Less than 10	Less than 20	Less than 30	Less than 40	Less than 50	Less than 60
f	3	12	27	57	75	80

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

If the numbers n – 3, 4n – 2 and 5n + 1 are in arithmetic progression, then the value of n is

In an arithmetic progression, 25th term is 70 more than the 15th term, then the common difference is

The angles of elevation and depression of the top and bottom of a lighthouse from the top of a 60 m high building are 30º and 60º respectively. Then the difference between the heights of the lighthouse and building is