List of top Questions asked in AP POLYCET

The X-axis divides the line joining the points A(2,-3) and B(5,6) in the ratio of

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 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

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

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?

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

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

The area of the circle that can be inscribed in a square of side 10 cm is

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 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 \(tan\ \theta=\sqrt{3}\), then the value of \(sec\ θ\) 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 \(\tan \theta + \cot \theta = 5\),then the value of \(\tan^2 \theta + \cot^2 \theta\) is

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

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

Which of the following cannot be the probability of an event?

If one card is drawn at random from a well-shuffled deck of 52 playing cards, then the probability of getting a non-face card 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

If the mean of the following frequency distribution is 15, then the value of y is

x	5	10	15	20	25
f	6	8	6	y	5

The median of the first 10 prime numbers is

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

Cough Syrup contains

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

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