List of practice Questions

Which is not a retail outlet among the following?
Why has Keshav done well in his exam of class 8th?
Statements: I. There were only a few good students in his class.
II. Keshav took tuition for all the subjects.
Has India experienced abnormal monsoon this year?
Statements: I. El Nino phenomenon affects monsoon in India.
II. This year El Nino was active.
Why is economic development in India not uniform across regions?
Statements: I. Policies for economic development are centrally planned.
II. Conditions in India vary from one region to another.
Why are RK and SG not speaking with each other?
Statements: I. RK and SG do not know each other.
II. RK and SG were friends earlier but have recently fought with each other.
Why is 'X' a leading brand in 'Y' product category?
Statements: I. Most of the customers of Y product category purchase 'X'.
II. 'X' has the highest advertising spend.
If a line segment OP makes angles of $ \frac{\pi}{4}$ and $\frac{\pi }{3}$ with X-axis and Y-axis, respectively. Then, the direction cosines are
If $N$ is a set of natural numbers, then under binary operation $a ?b =a + b, (N, ?)$ is
On the interval $[0, 1]$, the function $x^{25}(1 - x)^{75}$ takes its maximum value at the point
The normal at the point $(at_1^2 ,\, 2at_1)$ on the parabola meets the parabola again in the point $(at_1^2 ,\, 2at_2)$ , then
The two lines $x = my + n, z = py + q$ and $x = m'y + n',\, z = p'y + q'$ are perpendicular to each other, if
If p, q, r are simple propositions with truth values T, F, T, then the truth value of $\left(\sim p \vee q\right) \wedge \sim r \Rightarrow p $ is
If $|z| \ge 3$, then the least value of $\left|z+\frac{1}{4}\right|$ is
The area bounded by the curves $y = cos\, x$ and $y = sin \,x$ between the ordinates $x = 0$ and $x = \frac{3\pi}{2}$ is
A uniform solid cylindrical roller of mass '$m$' is being pulled on a horizontal surface with force $F$ parallel to the surface and applied at its centre. If the acceleration of the cylinder is '$a$' and it is rolling without slipping then the value of '$F$' is :
Two Faraday of electricity is passed through a solution of $CuSO_4$. The mass of copper deposited at the cathode is (At. mass of $Cu\, = \,63.5\, u$)
Determination of the molar mass of acetic acid in benzene using freezing point depression is affected by :
You are asked to design a shaving mirror assuming that a person keeps it $10\,cm$ from his face and views the magnified image of the face at the closest comfortable distance of $25\, cm$. The radius of curvature of the mirror would then be :
Consider a thin uniform square sheet made of a rigid material. If its side is '$a$', mass $m$ and moment of inertia $I$ about one of its diagonals, then :
If $12$ identical balls are to be placed in $3$ different boxes, then the probability that one of the boxes contains excatly $3$ balls, is
Gaseous $N_2O_4$ dissociates into gaseous $NO_2$ according to the reaction $N _{2} O _{4}( g ) \rightleftharpoons 2 NO _{2}( g )$ At $300\, K$ and $1\, atm$ pressure, the degree of dissociation of $N_2O_4$ is $0.2.$ If one mole of $N_2O_4$ gas is contained in a vessel, then the density of the equilibrium mixture is :
In Carius method of estimation of halogens $250\, mg$ of an organic compound gave $141\, mg$ of $AgBr$. The percentage of bromine in the compound is (atomic mass $Ag\, =\, 108, Br \,= \,80$)
A very long (length L) cylindrical galaxy is made of uniformly distributed mass and has radius $R (R << L)$. A star outside the galaxy is orbiting the galaxy in a plane perpendicular to the galaxy and passing through its centre. If the time period of star is $T$ and its distance from the galaxy's axis is $r$, then :
Monochromatic light is incident on a glass prism of angle $A$. If the refractive index of the material of the prism is $u$, a ray incident at an angle $\theta$, on the face $AB$ would get transmitted through the face $AC$ of the prism provided
The Water (Prevention and Control of Pollution) Act 1974 regulates....