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>
Andhra Pradesh Polytechnic Common Entrance Test
>
Mathematics
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
\(a^3+b^3+c^3 =\)
AP POLYCET - 2024
AP POLYCET
Mathematics
Triangles
If a sin 45°= b cosec 30°, then the value of
\(\frac {a^4}{b^4}\)
is
AP POLYCET - 2024
AP POLYCET
Mathematics
Trigonometry
If the slope of the line joining the points (4,2) and (3,-k) is -2, then the value of k is
AP POLYCET - 2024
AP POLYCET
Mathematics
Slope of a line
The ratio of the sum and product of the roots of the quadratic equation
\(7x^2-12x+18=0\)
is
AP POLYCET - 2024
AP POLYCET
Mathematics
Quadratic Equations
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
AP POLYCET - 2024
AP POLYCET
Mathematics
frequency distributions
The average of the observations 10, 20, 65, 102, 108, 115 is
AP POLYCET - 2024
AP POLYCET
Mathematics
Average
In the given figure, PA and PB are the tangents to the circle with centre at O. If ∠APB = 36°, then ∠AOB =
AP POLYCET - 2024
AP POLYCET
Mathematics
Tangent to a Circle
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
AP POLYCET - 2024
AP POLYCET
Mathematics
Mensuration
In
\(△ABC\)
,
\(DE || BC\)
,
\(\frac {AD}{DB}=\frac 35\)
and
\(AC=5.6\)
cm, then
\(AE =\)
\(?\)
AP POLYCET - 2024
AP POLYCET
Mathematics
Triangles
If
\(sinα+sinβ+sinγ=3\)
, then
\(cosα+cosβ+cosγ =\)
AP POLYCET - 2024
AP POLYCET
Mathematics
Trigonometric Ratios
If the volume of a cylinder is 500 m
3
and the area of its base is 25 m
2
, then its height (in m) is
AP POLYCET - 2024
AP POLYCET
Mathematics
Volume of Cube, Cuboid and Cylinder
If
\(2\)
is a root of the equation
\(x^2-px+q=0\)
and
\(p^2=4q\)
, then the other root is
AP POLYCET - 2024
AP POLYCET
Mathematics
Quadratic Equations
In what ratio, Y-axis divides the line segment joining the points P(-4, 2) and Q(8, 3)?
AP POLYCET - 2024
AP POLYCET
Mathematics
Coordinate Geometry
The area of the shaded region in the given figure is
AP POLYCET - 2024
AP POLYCET
Mathematics
Area
If the mode and mean of a data are 24 and 60 respectively, then the median of the data is
AP POLYCET - 2024
AP POLYCET
Mathematics
Mean, median, mode and standard deviation
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
AP POLYCET - 2024
AP POLYCET
Mathematics
Median of Grouped Data
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?
AP POLYCET - 2024
AP POLYCET
Mathematics
Probability
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?
AP POLYCET - 2024
AP POLYCET
Mathematics
Probability
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?
AP POLYCET - 2024
AP POLYCET
Mathematics
Probability
If 35 is removed from the data 30, 34, 35, 36, 37, 38, 39, 40, then the median increases by
AP POLYCET - 2024
AP POLYCET
Mathematics
Median
If two towers of heights h
1
, and h
2
subtend angles of 30° and 60° respectively at the midpoint of the line joining their feet, then the ratio of h
1
: h
2
is
AP POLYCET - 2024
AP POLYCET
Mathematics
Heights and Distances
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
AP POLYCET - 2024
AP POLYCET
Mathematics
Probability
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?
AP POLYCET - 2024
AP POLYCET
Mathematics
Heights and Distances
If secθ+tanθ=k, then secθ-tanθ=?
AP POLYCET - 2024
AP POLYCET
Mathematics
Trigonometric Identities
If sin
2
θ+ cosec
2
θ = 6, then sin θ + cosec θ =
AP POLYCET - 2024
AP POLYCET
Mathematics
Trigonometric Identities
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