List of top Questions asked in KCET- 2015

The solution set of the inequation $\frac {x^2+6x-7}{|x+4|}<0$ is
If $ f(x) = 2-2x^2,$ find $\frac {f(3,8)-f(4)} {3.8-4} $,
The value of $ \tan( 1^\circ) +\, tan(89^\circ)$ is
Continued self pollination results in
Ernest chain and Howard Florey's contribution was
If an inheritable mutation is observed in a population at high frequency it refered to as
Progestasert is an IUD which makes the uterus unsuitable and cervix hostile the sperms as they are
The half life of a radioactive substance is $20\, minutes$. The time taken between $50\%$ decay and $87.5\%$ decay of the substance will be
Write the set builder form $A = {-1, 1}$
If $\alpha$ and $\beta$ are the roots of $x^2 - ax + b^2 = 0$, then $\alpha^2 + \beta^2$ is equal to
A box contains $6$ red marbles numbers from $1$ through $6$ and $4$ white marbles $12$ through $15$. Find the probability that a marble drawn 'at random' is white and odd numbered.
A bag contains $(2 n+1)$ coins. It is known that $n$ of these coins have a head on both sides, whereas the remaining $(n+1)$ coins are fair. $A$ coin is picked up at random from the bag and tossed. If the probability that the toss results in a head is $31 / 42$, then $n$ is equal to
Evaluate $\left|\begin{array}{ll}\cos 15 & \sin 15 \\ \sin 75 & \cos 75\end{array}\right|$
The distinguishing test between methanoic acid and ethanoic acid is
Half-life period of a first order reaction is $10\, min$. Starting with initial concentration $12\, M$, the rate after $20\, min$ is
Which vector can clone a small fragment of DNA ?
A balloon which always remains spherical is being inflated by pumping in $10$ cubic centimeters of gas per second. Find the rate at which the radius of the balloon is increasing when the radius is $15$ cms.
Slope of Normal to the curve $y=x^2 - \frac {1}{x^2}$ at $(-1,0)$ is
Equation of line passing through the point $(2, 3, 1) $and parallel to the line of intersection of the plane $x- 2y - z + 5 = 0$ and $x + y + 3z = 6$ is
Area bounded by $y = x^3, y = 8$ and $x = 0 $ is
A person wants a real image of his own, $3$ times enlarged. Where should he stand infront of a concave mirror of radius of curvature $30\, cm$ ?
The kinetic energy of a body of mass $4\,kg$ and momentum $6\,N-s$ will be
Glycogen is
A stretched string is vibrating in the second overtone, then the number of nodes and anti nodes between the ends of the string are respectively
A fall in glomerular filtration rate activates