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AP POLYCET
List of top Questions asked in AP POLYCET
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
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
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
Three resistors each of 4 Ω, 0.4 Ω and 0.04 Ω are connected in series combination. Their equivalent resistance is
AP POLYCET - 2024
AP POLYCET
Physics
Series and Parallel Connection of Resistance
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 sin
2
θ+ cosec
2
θ = 6, then sin θ + cosec θ =
AP POLYCET - 2024
AP POLYCET
Mathematics
Trigonometric Identities
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 tan 48°.tan 23°.tan 42°.tan 67°=tan(A+30°), then the value of A is
AP POLYCET - 2024
AP POLYCET
Mathematics
Trigonometry
If
\(sinα+sinβ+sinγ=3\)
, then
\(cosα+cosβ+cosγ =\)
AP POLYCET - 2024
AP POLYCET
Mathematics
Trigonometric Ratios
If secθ+tanθ=k, then secθ-tanθ=?
AP POLYCET - 2024
AP POLYCET
Mathematics
Trigonometric Identities
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 the length, breadth and height of a cuboid are 8 cm, 3 cm and 4 cm respectively, then the total surface area of the cuboid is
AP POLYCET - 2024
AP POLYCET
Mathematics
Surface Area of Cube, Cuboid and Cylinder
In the given figure, the radius of each outer circle is a, then the radius of the inner circle is
AP POLYCET - 2024
AP POLYCET
Mathematics
Circles
The area of the shaded region in the given figure is
AP POLYCET - 2024
AP POLYCET
Mathematics
Area
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
In
\(△ABC\)
,
\(DE || BC\)
,
\(\frac {AD}{DB}=\frac 35\)
and
\(AC=5.6\)
cm, then
\(AE =\)
\(?\)
AP POLYCET - 2024
AP POLYCET
Mathematics
Triangles
△ABC∼△DEF, the area of △ABC=9 cm
2
and the area of △DEF = 16 cm
2
. If BC=2.1 cm, then EF=
AP POLYCET - 2024
AP POLYCET
Mathematics
Similarity of Triangles
In the following figure, if DE || BC, then x =
AP POLYCET - 2024
AP POLYCET
Mathematics
The Mid-point Theorem
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
If the points (1, 2), (-1, k) and (2, 3) are collinear, then the value of k is
AP POLYCET - 2024
AP POLYCET
Mathematics
Collinearity of points
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
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 coordinates of the point P which is equidistant from the three vertices of the △AOB as shown in the figure is
AP POLYCET - 2024
AP POLYCET
Mathematics
Distance Formula
Which of the following is a geometric progression?
AP POLYCET - 2024
AP POLYCET
Mathematics
geometric progression
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