List of top Questions asked in KCET

Cells in the quiescent stage $(G_0)$
A capacitor of capacitance C charged by an amount Q is connected in parallel with an uncharged capacitor of capacitance 2C. The final charges on the capacitors are
According to Human Genome Project (HGP), the total number of genes in human genome is estimated at 30,000 the number of genes present on Y-chromosome are
Relative lowering of vapour pressure of a dilute solution of glucose dissolved in 1 kg of water is 0.002. The molality of the solution is
Addition of excess of AgNO3 to an aqueous solution of 1 mole of PdCl2. 4NH3 gives 2 moles of AgCl. The conductivity of this solution corresponds to
Due to Doppler?? effect the shift in wavelength observed is 0.1 ? for a star producing wavelength 6000 ?. Velocity of recession of the star will be
The equation of the curve passing through the point (1, 1) such that the slope of the tangent at any point (x, y) is equal to the product of its co-ordinates is
If the value of a third order determinant is $16$, then the value of the determinant formed by replacing each of its elements by its cofactor is
The third term of a G.P. is 9. The product of its first five terms is
A girl of height $150 \,cm$ with her eye level at $140 \,cm$ stands in front of plane mirror of height $75 \,cm$ fixed to a wall. The lower edge of the mirror is at a height of $85 \,cm$ above her feet level. The height of her image the girl can see in the mirror is
Consider the following statements i, ii and iii regarding criteria for essentiality of the nutrients in plants: i. The presence of elements is must for plants to complete their life cycle. ii. The role of the element can be replaced by another element. iii. The element must be directly involved in the metabolism of the plant. Choose the correct statement/s :
Give: E0Mn+7|Mn+2 = 1.5 V and E0Mn+4|Mn+2 = 1.2 V, then E0Mn+7|Mn+4 is
A man speaks truth 2 out of 3 times. He picks one of the natural numbers in the set S = {1, 2, 3, 4, 5, 6, 7} and reports that it is even. The probability that it is actually even is
If cos x = |sin x| then, the general solution is
If $A = \{ x | x \in N, x \le 5 \}, B = \{ x | x \in Z, x^2 - 5x + 6 = 0\}$, then the number of onto functions from A to B is
If $| 3x -5| \le 2$, then
$\cos\left[2\sin^{-1} \frac{3}{4} + \cos^{-1} \frac{3}{4}\right] = $
$\sqrt{3}\, cosec \,20^{\circ} - \sec\, 20^{\circ}$ =
The interval in which the function $f(x) = x^3 - 6x^2 + 9x + 10$ is increasing in
If $a + \frac{\pi}{2} < 2 \tan^{-1} x + 3 \cot^{-1} x < b $ then 'a' and 'b' are respectively.
The domain of the function f : R $\to$ R defined by $f(x) = \sqrt{x^2 - 7x + 12} $ is
An object with mass 5 kg is acted upon by a force, $\vec{F}=\left(-3\widehat{i}+4\widehat{j}\right)N$. If its initial velocity at t = 0 is $\vec{v}=\left(3\widehat{i}+12\widehat{j}\right)m/s$ , the time at which it will just have a velocity along y-axis is
Match the following pKa values:
On the set of positive rationals, a binary operation * is defined by a * b = $\frac{2ab}{5}$ . If 2 * x = $3^{-1}$ then x =
If $P$ and $Q$ are symmetric matrices of the same order then $PQ - QP$ is