List of top Questions asked in AP EAPCET

If $^{n}C_{12} = ^{n}C_{8}$, then $^{n}C_{17} =$
If the number of permutations of $n$ different things taken all at a time is $5040$, then $n =$
If the roots of the equation $x^3 - 7x^2 + 14x - 8 = 0$ are in geometric progression, then the common ratio can be:
The number of terms in the expansion of $(x + y + z)^{10}$ is:
If $z = \frac{\sqrt{3} + i}{2}$, then $z^{101} + z^{103} =$
If the roots of the quadratic equation $x^2 - 2px + q^2 = 0$ are real and distinct, then:
If $\alpha, \beta$ are the roots of the quadratic equation $x^2 - 2x + 4 = 0$, then the value of $\alpha^n + \beta^n$ is:
If the conjugate of a complex number $z$ is $\frac{1}{z - i}$, then $z$ can be:
If $A = \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}$, then $A^2 - 5A - 2I =$
The domain of the function $f(x) = \sqrt{\log_{10} \left(\frac{5x - x^2}{4}\right)}$ is:
If $a_n = \sum_{r=0}^n \frac{1}{^{n}C_r}$ and $b_n = \sum_{r=0}^n \frac{r}{^{n}C_r}$, then $\frac{b_n}{a_n} =$
If $[x]$ denotes the greatest integer less than or equal to $x$, then the value of $\sum_{r=1}^{100} \left[ \frac{r}{5} \right]$ is:
If the system of linear equations $x + y + z = 1$, $x + 2y + 4z = \eta$, $x + 4y + 10z = \eta^2$ has a solution, then the value of $\eta$ is:
If $f : [1, \infty) \to [1, \infty)$ is defined by $f(x) = 2^{x(x-1)}$, then $f^{-1}(x) =$
The correct sequence of essential elements K, Mg, Mo, P, C of the given list, which show following activities.
A) ATP synthesis
B) Component of enzymes
C) Enzyme activation
D) Turgidity maintenance

Match the following

List - A List - B 
A.Mottled leafI.Beets
B.Heart-RotII.Legumes
C.Mouse earIII.Pecan
D.BronzingIV.Cauliflower
  V.Citrus
Rain is falling vertically with a speed of \( 36\ \mathrm{m/s} \) and a boy is moving on a bicycle with a speed of \( 20\ \mathrm{m/s} \) towards south. The angle with the vertical towards south with which the boy has to hold an umbrella is

Two moles of an ideal gas undergoes a cyclic process as shown in the figure. If AB is an isothermal process at 223 $^\circ$C, then the net work done in the complete cycle is nearly: (Universal gas constant = 8.3 J mol$^{-1}$ K$^{-1}$ and take ln(2) = 0.7)

In a photoelectric experiment, when the wavelength of the incident light on a metal is λ, the maximum kinetic energy of the emitted photoelectron is E. When the wavelength of incident light is \(\frac{\lambda}{3}\), the maximum kinetic energy of the emitted photoelectron becomes 4E. The work function of the metal is:
Choose the correct statements among the following
I) Pasteur given the name virus.
II) Lichen are good pollution indicators.
III) Three Domain groups were originated from progenote.
IV) Chrysophytes belongs to Monera.
Choose the correct statements among the following
I) Many desert plants show CAM photosynthesis.
II) Rotation of planet on its axis causes seasonal changes.
III) Ecology is concerned with the changes in the environmental conditions.
IV) Mechanical tissues are well developed in submerged water plants.
If the differences between the specific heat capacities at constant pressure and constant volume of hydrogen and another gas are in the ratio 16 : 1, then the other gas is:
An aeroplane flying horizontally with a speed of 720 kmph at an altitude of 490 m drops a bomb when it is just vertically above a target. The horizontal distance between the target and the point where the bomb strikes the ground is
If a generator of emf 440 V and internal resistance 400 $\Omega$ is connected to an external resistance of 4000 $\Omega$, then the potential difference across the external resistance is:
Assertion (A): Genetic maps are extensively used as a starting point in the Human genome sequencing project.
Reason (R): Frequency of recombination between gene pairs on the same chromosome as the measure of distance between genes and mapped their position is called gene mapping.