List of practice Questions

Fictitious, Fixed, Monetary, Toxic — choose the alternative associated with all four clues.

Fire, Life, General, Cargo — choose the alternative associated with all four clues.

Property, Number, Time, Concern — choose the alternative associated with all four clues.

Crimson, Vermilion, Magenta, Scarlet — choose the alternative associated with all four clues.

Porter, Former, Literate, Scribe — choose the alternative associated with all four clues.

Deer, Tiger, Kangaroo, Hippopotamus — choose the alternative associated with all four clues.

Lighting, Character, Stoop, Tone — choose the alternative associated with all four clues.

Order, Law, Manner, Authority — choose the alternative associated with all four clues.

Scare, Phobia, Anxiety, Nausea — choose the alternative associated with all four clues.

Master, Hyatt, Ceremony, Canyon — choose the alternative associated with all four clues.

The value of $ (1 + \omega - \omega^2)^7$ is

For $ x \epsilon R , f (x) = | \log 2 - \sin x|$ and $g(x) = f(f(x))$, then :

A pendulum clock loses $12\,s$ a day if the temperature is $40^{\circ}C$ and gains $4\,s$ a day if the temperature is $20^{\circ}C$. The temperature at which the clock will show correct time, and the co-efficient of linear expansion $(\alpha)$ of the metal of the pendulum shaft are respectively :

A stream of electrons from a heated filament was passed between two charged plates kept at a potential difference $V$ esu. If $e$ and $m$ are charge and mass of an electron, respectively, then the value of $h/ \lambda$ (where $\lambda$ is wavelength associated with electron wave) is given by :

A solid XY kept in an evacuated sealed container undergoes decomposition to form a mixture of gases X and Y at temperature T. The equilibrium pressure is 10 bar in this vessel. $K_p$ for this reaction is :

The total number of orbitals associated with the principal quantum number 5 is :

An arc lamp requires a direct current of $10\, A$ at $80 \,V$ to function. If it is connected to a $220 \,V \,(rms)$, $50 \,Hz\, AC$ supply, the series inductor needed for it to work is close to :

If the tangent at a point $P$, with parameter $t$, on the curve $x = 4t^2 + 3, y = 8t^3 - 1, t \in R$, meets the curve again at a point $Q$, then the coordinates of $Q$ are :

If the $2^{nd}, 5^{th}$ and $9^{th}$ terms of a non-constant $A.P.$ are in $G.P.$, then the common ratio of this $G.P.$ is :

An aqueous solution of a salt $MX_2$ at certain temperature has a van?t Hoff factor of 2. The degree of dissociation for this solution of the salt is :

The region between two concentric spheres of radii $'a'$ and $'b'$, respectively (see figure), has volume charge density $\rho = \frac{A}{r}$, where $A$ is a constant and $r$ is the distance from the centre. At the centre of the spheres is a point charge $Q$. The value of $A$ such that the electric field in the region between the spheres will be constant, is :

$ABC$ is a triangle in a plane with vertices $A(2, 3, 5), B(-1, 3, 2)$ and $C(\lambda , 5, \mu)$. If the median through $A$ is equally inclined to the coordinate axes, then the value of $(\lambda^3 + \mu^3 + 5)$ is :

For $x \, \in \, R , x \neq 0, x \neq 1,$ let $f_0(x) = \frac{1}{1-x}$ and $f_{n+1} (x) | = f_0 (f_n(x)), n = 0 , 1 , 2 , ...$ Then the value of $f_{100}(3) + f_1 \left(\frac{2}{3} \right) + f_2 \left( \frac{3}{2} \right)$ is equal to :

A satellite is revolving in a circular orbit at a height ' $h$' from the earth's surface (radius of earth $R ; h < < R$). The minimum increase in its orbital velocity required, so that the satellite could escape from the earth?s gravitational field, is close to : (Neglect the effect of atmosphere.)

Which of the following is a function of Central Pollution Control Board under the provisions of Section 16 of the Air (Prevention and Control of Pollution) Act, 1981?