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

If the centroid of a triangle formed by the points \((a,b), (b, c)\) and \((c,a)\) is at the origin, then \(a^3+b^3+c^3 =\)

If a sin 45°= b cosec 30°, then the value of \(\frac {a^4}{b^4}\) is

If the slope of the line joining the points (4,2) and (3,-k) is -2, then the value of k is

The ratio of the sum and product of the roots of the quadratic equation \(7x^2-12x+18=0\) is

The modal class of the following frequency distribution is

Class Interval	0-20	20-40	40-60	60-80	80-100
Number of Students	15	18	21	29	17

The average of the observations 10, 20, 65, 102, 108, 115 is

In the given figure, PA and PB are the tangents to the circle with centre at O. If ∠APB = 36°, then ∠AOB =

If the area of a rectangle is \(112\ m^2\) and its length is \(6\ m\) more than the breadth, then the breadth of the rectangle is

In \(△ABC\), \(DE || BC\), \(\frac {AD}{DB}=\frac 35\) and \(AC=5.6\) cm, then \(AE =\)\(?\)

If \(sinα+sinβ+sinγ=3\), then \(cosα+cosβ+cosγ =\)

If the volume of a cylinder is 500 m³ and the area of its base is 25 m², then its height (in m) is

If \(2\) is a root of the equation \(x^2-px+q=0\) and \(p^2=4q\), then the other root is

In what ratio, Y-axis divides the line segment joining the points P(-4, 2) and Q(8, 3)?

The area of the shaded region in the given figure is

If the mode and mean of a data are 24 and 60 respectively, then the median of the data is

The upper limit of the median class of the following frequency distribution is

Class Interval	50-70	70-90	90-110	110-130	130-150	150-170
Number of Students	15	21	32	19	8	5

Two dice are thrown at the same time. What is the probability that the sum of the two numbers appearing on the top of the dice is more than 10?

A box contains 24 balls of which x are red, 2x are white and 3x are blue. A ball is selected at random. What is the probability that the selected ball is not red?

2 cards of hearts and 4 cards of spades are missing from a pack of 52 cards. A card is drawn at random from the remaining pack. What is the probability of getting a black card?

If 35 is removed from the data 30, 34, 35, 36, 37, 38, 39, 40, then the median increases by

If two towers of heights h₁, and h₂ subtend angles of 30° and 60° respectively at the midpoint of the line joining their feet, then the ratio of h₁: h₂ is

If the probability of guessing the correct answer to a question is \(\frac {x}{12}\) and the probability of not guessing the correct answer is \(\frac 58\), the value of \(x\) is

A tree is broken by wind, its upper part touches the ground at a point 10 metre from the foot of the tree and makes an angle of 45° with the ground. Then what is the entire height of the tree?

If secθ+tanθ=k, then secθ-tanθ=?

If sin² θ+ cosec² θ = 6, then sin θ + cosec θ =