List of top Questions asked in KCET

\(H_{2(g)}+2AgCl_{(s)}⇌2Ag_{(s)}+2HCl_{(aq)}\)
\(E^{\degree}_{cell}\) at 25° C for the cell is 0.22 V. The equilibrium constant at 25° C is

The resistance of 0.01 m KCl solution at 298 K is 1500Ω. If the conductivity of 0.01 m KCl solution at 298 K is 0.1466 × 10^-3 S cm^-1. The cell constant of the conductivity cell in cm^-1 is

The number of angular and radial nodes in 3p orbital respectively are

Consider the following electrodes
P = Zn²⁺ (0.0001 M)/Zn  Q = Zn²⁺ (0.1 M)/Zn
R = Zn²⁺ (0.01 M)/Zn       S = Zn²⁺ (0.001 M)/Zn
E°Zn/Zn²⁺ = 0.76 V Electrode potentials of the above electrodes in volts are in the order

The vapour pressure of pure liquids A and B are 450 and 700 mm of Hg at 350 K respectively. If the total vapour pressure of the mixture is 600 mm of Hg, the composition of the mixture in the solution is

The K_H value (K bar) of Argon (I), Carbondioxide (II) formuldehyde (III) and methane (IV) are respectively 40.3, 167, 1.83×10^-5 and 0.413 at 298 K. The increasing order of solubility of gas in liquid is

Choose the correct statement

Domain of the function f(x) = \(\frac{1}{\sqrt{[x]^2-[x]-6}}\) where [x] is greatest integer ≤ x is

The function f(x) = \(\sqrt3\) sin2x - cos2x + 4 is one-one in the interval

Let A = { x : x ∈ R; x is not a positive integer } Define f : A → R as f(x) = \(\frac{2x}{x-1}\), then f is

f : R → R defined by f(x) = \(\left\{ \begin{aligned}     & 2x;x>3 \\     &x^2;1<x≤3\\     & 3x;x≤1 \end{aligned} \right.\) then f(-2) + f(3) + f(4) is

If P(A) = 0.59, P(B) = 0.30 and P(A ∩ B) = 0.21 then P( A' ∩ B') =

The Standard Deviation of the numbers 31, 32, 33……. 46, 47 is

If a and b are fixed non-zero constants, then the derivative of \(\frac{a}{x^4}-\frac{b}{x^2}\) + cos x is ma + nb - p where

Consider the following statements :
Statement 1 : \(\lim\limits_{x\rightarrow1}\frac{ax^2+bx+c}{cx^2+bx+a}\) is 1 (where a + b + c ≠ 0)
Statement 2 : \(\lim\limits_{x\rightarrow-2}\frac{\frac{1}{x}+\frac{1}{2}}{x+2}\) is \(\frac{1}{4}\)

The mid points of the sides of triangle are (1, 5, -1) (0, 4, -2) and (2, 3, 4) then centroid of the triangle

The equation of straight line which passes through the point (a cos³θ, a sin³θ) and perpendicular to x secθ+y cosecθ = a is

If the middle term of the A.P is 300 then the sum of its first 51 terms is

A student has to answer 10 questions, choosing at least 4 from each of the parts A and B. If there are 6 questions in part A and 7 in part B, then the number of ways can the student choose 10 questions is

The cost and revenue functions of a product are given by c(x) = 20x + 4000 and R(x) = 60x + 2000 respectively where x is the number of items produced and sold. The value of x to earn profit is

If \((\frac{1+i}{1-i})^x=1\) then

The value of tan 1° tan 2° tan 3° ………. tan 89° is

A pure compound contains 2.4g of C, 1.2 × 10²³ atoms of H, 0.2 moles of oxygen atoms. Its empirical formula is

The value of cos 1200° + tan 1485° is