List of top Questions asked in KCET- 2016

Electrophile that participates in nitration of benzene is

If $\sin^{-1} \, x + \sin^{-1} \,y= \frac{\pi}{2}$ , then $x^2$ is equal to

Osmotic pressure can be increased by

The equation of the normal to the curve $y(1 + x^2) = 2 - x$ where the tangent crosses $x-axis$ is

The differential coefficient of $\log_{10} x$ with respect to $\log_{x} 10$ is

A $12\,kg$ bomb at rest explodes into two pieces of $4 \,kg$ and $8 \,kg$. If the momentum of $4\,kg$ piece is $20\,Ns$, the kinetic energy of the $8\,kg$ piece is

A particle of mass $1 \, gm$ and charge $1 \, \mu C$ is held at rest on a frictionless horizontal surface at distance $1\,m$ from the fixed charge $2 \, mC$. If the particle is released, it will be repelled. The speed of the particle when it is at a distance of $10\,m$ from the fixed charge

A Carnot engine working between $300\, K$ and $400\, K$ has $800\, J$ of useful work. The amount of heat energy supplied to the engine from the source is

Potential difference between $A$ and $B$ in the following circuit

Maximum acceleration of the train in which a $50\, kg$ box lying on its floor will remain stationary (Given : Co-efficient of static friction between the box and the train?? floor is $0.3$ and $g = 10 \,ms^{-2}$)

A current I flows in the anticlockwise direction through a square loop of side a lying in the xoy plane with its center at the origin. The magnetic induction at the center of the square loop is

Find the mis-match from the following pairs :

In plants, lateral roots arise from

The codons UUU and UUC codes for phenylalanine only. This feature of genetic code is called

In a dithecous anther, each pollen sac contain 1000 MMC. What is the total number of pollen-grains produced by the anther ?

$\displaystyle\lim_{x \to 0} \frac{xe^x - \sin \, x}{x}$ is equal to

Facultative absorption of water from primary urine is influenced by the hormone

Most suitable method of introducing alien DNA into a plant cell is

The hormone 'melatonin' is secreted by the gland

Two cards are drawn at random from a pack of $52$ cards. The probability of these two being "Aces" is

The general solution of $\cot\, \theta + \tan\, \theta = 2$ is

The simplified form of $\tan^{-1}$ $\left(\frac{x}{y}\right)$ $- \tan^{-1}$ $\left(\frac{x-y}{x+y}\right)$ is equal to

Two dice are thrown simultaneously, the probability of obtaining a total score of $5$ is

The two curves $x^3 - 3xy^2 + 2 = 0$ and $3x^2y - y^3 = 2$

The simplified form of $i^{n} + i^{n +1} + i^{n +2} + i^{n +3}$ is