List of practice Questions

A swimming club that sold only individual and family memberships charged ₹ 300 for an individual membership. If the club's total revenue from memberships was ₹ 480000, what was the charge for a family membership?
I. The revenue from individual memberships was \(\frac{1}{4}\) of the total revenue from memberships.
II. The club sold 1.5 times as many family memberships as individual memberships.
Decide whether the data in the statements are sufficient to answer the question.
There are 28 students in a class : all born in 1990.
A. The probability that all their birthdays are in February.
B. The probability that all their birthdays fall on a Friday.
In this question two quantities A and B are given. Compare the two quantities
Based on the graph compare A and B.
           Gasoline Sales
Gasoline Sales|
A. The percent change in premium sales from February to March. 
B. The percent change in total sales from January to February.
Suresh's salary, which is greater than ₹ 10000 is 75% of Sandra's salary. Dutt's salary is 80% of Suresh's salary
A. Sandra's salary
B. Dutt's salary
In this question two quantities A and B are given. Compare the two quantities
The total surface area of a cube = 150.
A. The length of one edge of the cube
B. 4.5
In this question two quantities A and B are given. Compare the two quantities
A merchant made a profit of ₹ 275 on the sale price of a sweater that cost the merchant ₹ 1225.
A. The profit expressed as a percentage of the sale cost to the merchant
B. The profit expressed as a percentage of the sale price.
In this question two quantities A and B are given. Compare the two quantities
Electrode potentials (E$^{\circ}$) are given below : $Cu^{+}/Cu=+0.52\, V,$ $Fe^{3+}/Fe^{2+} = +0.77 \,V,$ $\frac{1}{2}I_{2}\left(s\right)/I^{-} = 40.54 \,V,$ $Ag^{+}/Ag =+ 0.88\,V.$ Based on the above potentials, strongest oxidizing agent will be :
Oxidation state of sulphur in anions $SO^{2-}_{3}. S_{2}O^{2-}_{4}$ and $S_{2}O^{2-}_{6}$ increases in the orders:
A light ray falls on a square glass slab as shown in the diagram. The index of refraction of the glass, if total internal reflection is to occur at the vertical face, is equal to :
An ideal gas at atmospheric pressure is adiabatically compressed so that its density becomes $32$ times of its initial value. If the final pressure of gas is $128$ atmospheres, the value of ?$\gamma$?of the gas is :
The anode voltage of a photocell is kept fixed. The wavelength $\lambda$ of the light falling on the cathode is gradually changed. The plate current $I$ of photocell varies as follows
A $12.5\, eV$ electron beam is used to bombard gaseous hydrogen at room temperature. It will emit :
The number of real circles cutting orthogonally the circle $x^2 + y^2 + 2x - 2y + 7 = 0$ is
The ore chromite is
A sphere of radius R has a volume density of charge $? = kr$, where r is the distance from the centre of the sphere and k is constant. The magnitude of the electric field which exists at the sur ace o the sphere is given by ($e_0$ = permittivity of the free space)
For photoelectric emission from certain metal the cutoff frequency is v. If radiation of frequency 2v impinges on the metal plate, the maximum possible velocity of the emitted electron will be (m is the electron mass) :
The correct formula of plaster of Paris is
Pigment containing membranous extensions in some cyanobacteria are
In the given figure container A holds an ideal gas at a pressure of $ 50\times 10^{5}\, Pa$ and a temperature of $300 \,K$. It is connected by a thin tube (and a closed) container $B$, with four times the volume of $A$. Container $B$ holds same at a pressure of $ 1.0\times 10^{5} \, Pa$ and a temperature of $400 \,K$. The valve is open allow the pressures to equalize, but the temperature of each container constant at its initial value. The final pressure in the two containers will be to
If $\int f\left(x\right) dx =\Psi\left(x\right)$ then $ \int x^{5} f\left(x^{3}\right)dx $ is equal to
The area (in s units) bounded by the curves $y = \sqrt{x} , 2y - x + 3 = 0, x$-axis and lying in the first quadrant is
At present, a firm is manufacturing $1000$ items. It is estimated that the rate of change of production $P$ with respect to additional number of workers $x$ is given by $\frac {dP}{dx}=100-12 \sqrt x$ If the firm employees $25$ more workers, then the new level of production of items is
The maximum range of a projectile fired with some initial velocity is found to be 1000 metre, in the absence of wind and air resistance. The maximum height h reached by this projectile is
The ellipse $E_1 : \frac{x^2}{9} + \frac{y^2}{4}$ = 1 is inscribed in a rectangle R whose sides are parallel to the coordinate axes. Another ellipse $E_2$ passing through the point (0, 4) circumscribes the rectangle R. The eccentricity of the ellipse $E_2$ is
Stability of the species $ Li_2 , Li_2^- , \, \, and \, \, Li_2^+ $ increases in the order of