List of practice Questions

Let $A$ be the event that the absolute difference between two randomly choosen real numbers in the sample space $[0,60]$ is less than or equal to a If $P(A)=\frac{11}{36}$, then a is equal to _____
The remainder when $(11)^{1011}+(1011)^{11}$ is divided by $9$ is

In a given data set mean of 40 observations is 50 and standard deviation is 12. Two readings which were 20 and 25, were mistakenly taken as 40 and 45. Find correct variance of data set

It is observed that characteristic $X$-ray spectra of elements show regularity When frequency to the power " $n$ " ie $v^n$ of $X$-rays emitted is plotted against atomic number " $Z$ ", following graph is obtained

Conversion of compound (X) to product (Y)
In the above conversion of compound $( X )$ to product $( Y )$, the sequence of reagents to be used will be:

Match List I with List II.
 

List-IList-II
ASulphateIPesticide
BFluorideIIBending of bones
CNicotineIIILaxative effect
DSodium arsiniteIVHerbicide


Choose the correct answer from the options given below:

 

Which of the following has maximum number of l.p. at central atom?

What is the chemical formula of freon gas?

How many meaningful words can be formed using the first, the third, the fifth and the sixth letters of the word TRADEMARK using each letter only once in each word?
Arrange the soils of India in descending order of their percentage share in total area of the country.
A. Alfisols
B. Vertisols
C. Entisols
D. Inceptisols
Choose the correct answer from the options given below:
Which one of the following theories does not explain the origin of tides?
If the position of a particle is changing with time as r=t2-2t (m). Find the velocity at t=2s.
Find the radius of the orbit corresponding to the 4th excited state in Li++. (a0 is the radius of first orbit in H-atom)
Let $\eta_1$ is the efficiency of an engine at $T _1=447^{\circ} C$ and $T _2=147^{\circ} C$ while $\eta_2$ is the efficiency at $T _1=947^{\circ} C$ and $T _2=47^{\circ} C$ The ratio $\frac{\eta_1}{\eta_2}$ will be :
Given below are two statements Statement I : Pig iron is obtained by heating cast iron with scrap iron Statement II : Pig iron has a relatively lower carbon content than that of cast iron In the light of the above statements, choose the correct answer from the options given below
In a thermodynamic process work done by gas is 1000 J & heat supplied is 200 J. Find change in internal energy of gas?
Ratio between rms speed of Ar to the most probable speed of \(O^2\) at \(27\degree C\) is

Choose the correct options based on the column shown below. 

1.TV signal(P)12 GHz  
2.Satellite(Q)30 MHz 
3.AM(R)88 MHz 
4.FM(S)1 MHz
Find tension in string if all surfaces are smooth and string is massless.
Find the current flowing in 3Ω resistor in the given circuit
Using Slater's rule, the shielding constant and effective nuclear charge for the outermost electron of Mg are respectively.
Who propounded the principle of 'Maximum Social Advantage'?
The coefficient of $x^{-6}$, in the expansion of $\left(\frac{4 x}{5}+\frac{5}{2 x^2}\right)^9$, is______
$\displaystyle\lim _{x \rightarrow 0} \frac{48}{x^4} \int_0^x \frac{ t ^3}{ t ^6+1} d t$ is equal to
Wire A and B have their Young’s moduli in the ratio 1:3, area of cross section in the ratio of 1:2 and lengths in ratio of 3:4. If same force is applied on the two wires to elongate then ratio of elongation is equal to