List of top Mathematics Questions asked in AP POLYCET

Area of a sector of a circle with radius 4 cm and angle 30° is (use \( \pi = 3.14 \)):
Two cars are seen from the top of a tower of height 75 m with angles of depression \(30^\circ\) and \(45^\circ\). If the cars are on opposite sides of the tower along the same line, the distance between them is:
If assumed mean of a data is 47.5, \( \sum f_i d_i = 435 \) and \( \sum f_i = 30 \), then mean of that data is:
Evaluate \( \dfrac{2 \tan 30^\circ}{1 + \tan^2 30^\circ} \)
A prime number \( p \) divides \( a^2 \) where \( a \) is a positive integer, then
If \( 15 \cot A = 8 \), then \( \sin A = \, ? \)
A pair of linear equations \( a_1 x + b_1 y + c_1 = 0 \) and \( a_2 x + b_2 y + c_2 = 0 \) is such that \( \frac{a_1}{a_2} \neq \frac{b_1}{b_2} \), then they are:
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Evaluate \( (\sec A + \tan A)(1 - \sin A) = \ ? \)
If the graph of \( y = p(x) \) does not intersect the X-axis at all, then the zeroes of \( p(x) \) are:
The product of Karan’s age five years ago and his age after 9 years from now is 32. This is represented by the quadratic equation:
The points \( (1,5), (2,3) \) and \( (-2, -11) \) form a:
Ram and Syam are friends. Probability that both will have same birthday is:
Tenth term of the AP \( 1, -1, -3, -5, \dots \) is
Which of the following is not irrational?
A card is drawn from a set of 52 cards. The probability of getting a queen card is:
Which of the following has equally likely outcomes?
If \( P(E) = \), then:
Which of the following cannot be a probability?
Formula for finding mode for grouped data is:
The mode and mean of a data are 7 and 5 respectively, then median is:
A model is made with two cones each of height 2 cm attached to the two ends of a cylinder. The diameter of the model is 3 cm and its length is 12 cm. Then the volume of the model is (use \( \pi = \frac{22}{7} \)):
A toy is in the form of a cone of radius \( r \) and lateral height \( l \) mounted on a hemisphere of the same radius, and the total height of the toy is \( h \), then the total surface area of the toy is:
Area of minor segment if a chord of a circle of radius 10 cm subtends a right angle at the centre is (use \( \pi = 3.14 \)):

Length of an arc of a sector of angle 45° when the radius of the circle is 3 cm, is: