List of top Questions asked in KEAM

Consider the following statements and choose the correct option. (I) The genetic constitution of a plant is unaffected in vegetative propagation. (II) Rhizome in ginger serves as an organ of vegetative reproduction. (III) Totipotency of cells enables us to micropropagate plants.

The standard deviation for the scores $1, 2, 3, 4, 5, 6$ and $7$ is $2$. Then, the standard deviation of $12, 23, 34, 45, 56, 67$ and $78$ is

The height of the dam, in a hydroelectric power station is $ 10 \,m $ . In order to generate $ 1 \,MW $ of electric power, the mass of water (in kg) that must fall per second on the blades of the turbines is

The resonance frequency of the tank circuit of an oscillator when $ L=\frac{10}{{{\pi }^{2}}}mH $ and $ C=0.04\text{ }\mu F $ are connected in parallel is

The energy released in the fission of $ 1 \,kg $ of $ _{92}{{U}^{235}} $ is (energy per fission = 200 MeV)

Two cars $ A $ and $ B $ are moving with same speed of $ 45\, km/h $ along same direction. If a third car $ C $ coming from the opposite direction with a speed of $ 36 \,km/h $ meets two cars in an interval of $ 5\, min $ , the distance of separation of two cars $ A $ and $ B $ should be (in km)

Millikan's oil-drop experiment established that

Two nuclei have their mass numbers in the ratio of $ 1:3 $ . The ratio of their nuclear densities would be

The radius of curvature of the convex face of a planoconvex lens is $ 15 \,cm $ and the refractive index of the material is $ 1.4 $ . Then the power of the lens in dioptre is

The main digestive function of enterokinase is

The wavelength of red light from $He-Ne$ laser is $ 633\, nm $ in air but $ 474 $ nm in the aqueous humor inside the eye ball. Then the speed of red light through the aqueous humor is

New systematics introduced by Sir Julian Huxley is also called

Two particles of equal charges after being accelerated through the same potential difference enter a uniform transverse magnetic field and describe circular path of radii $ {{R}_{1}} $ and $ {{R}_{2}} $ respectively. Then the ratio of their masses $ ({{M}_{1}}/{{M}_{2}}) $ is

Three charges $ {{Q}_{0}},-q $ and $ -q $ are placed at the vertices of an isosceles right angle triangle as in the figure. The net electrostatic potential energy is zero if $ {{Q}_{0}} $ is equal to

Of the isomeric hexanes, the isomers that give the minimum and maximum number of monochloro derivatives are respectively

Meselson and Stahl experiment proved

Let $ {{z}_{1}} $ and $ {{z}_{2}} $ be the roots of the equation $ {{z}^{2}}+pz+q=0 $ where p, q are real. The points represented by $ {{z}_{1}},{{z}_{2}} $ and the origin form an equilateral triangle, if

The refractive indices of glass and water with respect to air are $\frac{3}{2}$ and $\frac{4}{3}$ respectively. Then the refractive index of glass with respect to water is

Given $ tan\text{ }A $ and $ tan\text{ B} $ are the roots of $ {{x}^{2}}-ax+b=0 $ . The value of $ {{\sin }^{2}}(A+B) $ is

On the set $N$ of all natural numbers define the relation $R$ by $a R b$ if and only if the $G.C.D.$ of $a$ and $b$ is $2$, then $R$ is

The radius of the first Bohr orbit of hydrogen atom is $ 0.529\overset{\text{o}}{\mathop{\text{A}}}\, $ . The radius of the third orbit of $ {{He}^{+}} $ will be

The $ x- $ axis, $ y- $ axis and a line passing through the point A (6, 0) form a triangle $ABC$. If $ \angle A=30{}^\circ , $ then the area of the triangle, in sunits is

The resistance of a wire at room temperature $ 30{}^\circ C $ is found to be $ 10\,\Omega $ . Now to increase the resistance by 10%, the temperature of the wire must be [The temperature coefficient of resistance of the material of the wire is $ 0.002/{}^\circ C $ ]

Out of $15$ persons, $10$ can speak Hindi and $8$ can speak English. If two persons are chosen at random, then the probability that one person speaks Hindi only and the other speaks both Hindi and English is

$N$ identical drops of mercury are charged simultaneously to $ 10 \,V $ . When combined to form one large drop, the potential is found to be $ 40\, V $ , the value of $ N $ is