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questions
List of practice Questions
If
$DPD$
represents diffusion pressure deficit,
$OP$
is the osmotic pressure and
$TP$
is the turgor pressure, then which of the following equations is correct ?
Biology
Transport in Plants
If
$E_1, E_2, E_3, E_4$
are mutually exclusive and exhaustive events with respective probabilities
$p_1, p_2, p_3$
and
$p_4$
, then which of the following is possible?
Mathematics
Conditional Probability
If
$E$
and
$F$
are events such that
$0 < P(F) < 1$
, then
Mathematics
Conditional Probability
If
$E$
is the energy of
$n^{th}$
orbit of hydrogen atom the energy of
$n^{th}$
orbit of
$He$
atom will be
Physics
Atoms
If
$cot \left(cos^{-1}\, x\right) = sec \left(tan^{-1} \frac{a}{\sqrt{b^{2} - a^{2}}}\right)$
, then
$x$
is equal to
Mathematics
Inverse Trigonometric Functions
If displacement of a particle is zero, distance covered by it
Physics
Motion in a straight line
If
$\displaystyle\lim_{x \to 5} \frac{x^k - 5^k}{x - 5} = 500$
then k is equal to :
Mathematics
limits and derivatives
If cos
$\alpha$
, cos
$\beta$
, cos
$\gamma$
, are direction cosine of a line then value of
$\sin^2 \, \alpha + \sin^2 \, \beta + \sin^2 \gamma$
is:
Mathematics
Three Dimensional Geometry
If
$\cos \, T = \frac{3}{5}$
and if
$\sin \, R = \frac{8}{17}$
, where T is in the fourth quadrant and R is in the second quadrant, then cos (T - R) is equal to:
Mathematics
Trigonometric Functions
If
$cosec \theta - \cot \, \theta = q$
, then the value of
$\cot \, \theta$
is:
Mathematics
Trigonometric Functions
If
$(\cos^{-1}x)^2-(\sin^{-1}x)^2>0$
, then
Mathematics
Inverse Trigonometric Functions
If C denotes the velocity of light, velocity of cathode rays is
Physics
Atoms
If
$Cl_2$
gas is passed into aqueous solution of KI containing some
$CCl_4$
and the mixture is shaken :
Chemistry
p -Block Elements
If B is an invertible matrix and A is a matrix, then
Mathematics
Matrices
If
$\bar{x}$
is the mean of
$x_1, x_2, ........, x_n$
then for
$a \neq 0$
, the mean of
$ax_1,ax_2 , .....,ax_n , \frac{x_1}{a} , \frac{x_2}{a} , ...... , \frac{x_n}{a}$
is
Mathematics
Statistics
If both the length and radius of the wire are doubled, how does the modulus of elasticity change ?
Physics
mechanical properties of solids
If an event has more than one sample point, then it is called a/an______.
Mathematics
Probability
If $?
Mathematics
Inverse Trigonometric Functions
If
$b^2 - 4ac = 0$
,
$a > 0$
, then the domain of the function
$y = log(ax^3 + (a + b)x^2 + (b + c)x + c)$
is
Mathematics
Relations and functions
If Amp
$( \frac {z-1} {z+1})= \frac {\pi} {3}$
, then
$z$
represents a point on
Mathematics
Complex Numbers and Quadratic Equations
If an angle
$\theta$
is divided into 2 parts A and B such that
$A - B = k$
and
$A + B = \theta$
and tan
$A : tan \,B = k :\, 1$
, then the value of sin k is :
Mathematics
Trigonometric Functions
If
$aN = {ax : x \in N}$
and
$bN \cap cN = dN$
, where
$b,\, c \in N$
are relatively prime, then
Mathematics
Sets
If all permutations of the letters of the word are arranged in the order as in a dictionary, what is the
$49^{th}$
word?
Mathematics
permutations and combinations
If
$\alpha$
and
$\beta$
are the roots of the equation
$x^{2} + 2x + 4 = 0$
, then
$\frac{1}{\alpha^{3}}+\frac{1}{\beta^{3}}$
is equal to
Mathematics
Complex Numbers and Quadratic Equations
If
$\alpha , \beta $
are complementary angles, then
$\cos^2 \, \alpha +\cos^2 \,\beta $
is equal to
Mathematics
Trigonometric Functions
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