List of top Mathematics Questions asked in AP POLYCET

If \(\tan \theta + \cot \theta = 5\),then the value of \(\tan^2 \theta + \cot^2 \theta\) is

The number of zeroes of the polynomial shown in the graph is

After how many decimal places, the decimal expansion of the rational number \(\frac{25}{2^2\times 5}\) will terminate?

The value of \(\frac{1}{\log_3{60}} + \frac{1}{\log_4{60}} + \frac{1}{\log_5{60}}\) is

Which term of the geometric progression \(2,2\sqrt{2},4,…..\)is \(128?\)

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

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

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

If the geometric progressions 162, 54, 18, ..... and \(\frac{2}{81},\frac{2}{27},\frac{2}{9}\),…have their nth term equal, then the value of n is

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

If A and B are disjoint sets and \(n(A)=4\) ,\(n(A∪B)=7\), then the value of \(n(B)\) is

If x – 2 is a factor of the polynomial \(x^3-6x^2+ax-8,\) , then the value of a is

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

The median of the first 10 prime numbers is

If the difference between mode and mean of a data is k times the difference between median and mean, then the value of k is

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?

If \(P = \{3m : m \in \mathbb{N}\}\) and  \(Q = \{3m : m \in \mathbb{N}\}\) are two sets, then

The sum of the exponents of the prime factors in the prime factorization of 156 is

If the LCM of 12 and 42 is 10m + 4, then the value of m is

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

In a competitive examination, 1 mark is awarded for each correct answer while \(\frac{1}{2}\) mark is deducted for each wrong answer. If a student answered 120 questions and got 90 marks, then the number of questions that the student answered correctly is

If α , β and γ are the zeroes of the cubic polynomial \(2x^3+x^2-13x+6\) , then the value of \(αβγ\) is

The pair of linear equations \(x+2y-5=0\) and \(3x+12y-10=0\) has

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 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