In the following questions, the symbols @, ©, &, # and * are used with the following meaning as illustrated below;
'P & Q' means 'P is not smaller than Q'.
'P # Q' means 'P is neither smaller than nor greater than Q'.
'P © Q' means 'P is neither greater than nor equal to Q'.
'P @ Q' means 'P is not greater than Q'.
'P * Q' means 'P is neither smaller than nor equal to Q'.
In the following questions statement showing relationship between different element has been given, which are followed by conclusion I &II.

Statements: I©J, J@K, K#L Conclusions: I. I©L II. L#I

I.$(7{)}^{450}>(9{)}^{300}$

II .${\left(2\right)}^{900}>{\left(7\right)}^{450}$

$\mathrm{Quantity} \mathrm{I}=18 {\mathrm{x}}^3{\mathrm{y}}^3, \mathrm{Quantity} \mathrm{II}=12 {\mathrm{x}}^4{\mathrm{y}}^4, \mathrm{if} \mathrm{x}>0 \& \mathrm{y}<0$

Find the relation between these two quantities.

Two equations are given, you have to solve the both the equations:

$\left(i\right) X^2=196$

$\left(ii\right) Y^2+2y-48=0$

The speed of a boat in still water and the speed of the current is in ratio $5:1$. If the difference between distances covered by the boat in going $2 \mathrm{hours}$ upstream and $2 \mathrm{hours}$  downstream is $8 \mathrm{km}$.

I. Quantity I - Speed of boat in still water

II. Quantity II -A cyclist goes $30 \mathrm{km}$ in $3 \mathrm{hours}$ 

Find the relation between these two quantities.

I. Simple interest for $3 \mathrm{years}$  at $11\%$ rate on $\mathrm{x}$.

II. Compound interest for $3 \mathrm{years}$  at $10\%$ rate on $\mathrm{x}$.

Find the relation between these two quantities.

Quantity $1$: A pipe alone can fill a cistern in $60$ minutes. But due to leakage pipe filled only $80\%$ of the cistern in $60$ minutes. $"X"$ is the capacity of the cistern in litres and due to leakage $60$ litres were leaked out in $1$ hour.

Quantity $2$: $250$ litres.

In the given below question substitutes for various mathematical symbols, followed by a question involving the calculation of an expression is given. Put the real signs in the given equations and solve the question.

If $+$ means $÷$, $÷$ means $-$, $-$ means $\times$, $\times$ means $+$, then

$64\times 8÷6-4\times 2=?$  

Statements:

$\mathrm{K}\ge \mathrm{L}; \mathrm{M}=\mathrm{L}; \mathrm{N}>\mathrm{M}; \mathrm{N}<\mathrm{O}$

Conclusions:

$$\begin{gathered} \mathrm{I}. \mathrm{K}<\mathrm{M} \\ \mathrm{II}. \mathrm{K}<\mathrm{N} \\ \mathrm{III}. \mathrm{L}<\mathrm{O} \end{gathered}$$