Coded Inequalities

In the given question made with alphabets and certain symbols with the following meanings:
'A $@$ B' means 'A is greater than B'.
'A $*$ B' means 'A is either greater than or equal to B'.
'A $\#$ B' means 'A is equal to B'.
'A $\$$ B' means 'A is either smaller than or equal to B'.
'A $+$ B' means 'A is smaller than B'.

Answer the following statements using the given conditions --
Statements: P $\$$ Q, N $\#$ M, M $@$ R, R $*$ P
Conclusions:
I. P $+$ N
II Q $\$$ M

In the given question is coded with alphabets and mathematical operators. Each operator contains certain meaning.
'P $+$ Q' means 'P is greater than Q'.
'P $\times$ Q' means 'P is either greater than or equal to Q'.
'P $=$ Q' means 'P is equal to Q'.
'P $÷$ Q' means 'P is smaller than Q'.
'P $-$ Q' means 'P is either smaller than or equal to Q'.

Statements: G $-$ H, K $\times$ L, L $-$ G
Conclusions:
I. G $÷$ K
II. L $-$ H

In the following questions the symbols$*, \times , \$, @ ,\mathrm{and} +$are used with the following meaning:
'$\mathrm{P}\times \mathrm{Q}$' means 'P is neither smaller nor greater than Q'.
'$\mathrm{P}@\mathrm{R}$' means 'P is neither equal to nor greater than Q'.
'$\mathrm{P}*\mathrm{Q}$' means 'P is either equal to or smaller than Q'.
$\text{'}\mathrm{P}+\mathrm{Q}\text{'}$ means 'P is neither equal to nor smaller than Q'.

'$\mathrm{P}\$ \mathrm{Q}$' means' P is either greater than or equal to Q'.

Statements: $\mathrm{D} * \mathrm{F}, \mathrm{F} \$ \mathrm{M}, \mathrm{M} @ \mathrm{K}$
Conclusions:$\mathrm{I}. \mathrm{F} @ \mathrm{K} \mathrm{II}. \mathrm{D} @ \mathrm{K}$

In these questions, certain symbols have been used to indicate relationships between elements follows:
'A$*$ B' means 'A is either equal to or greater than B'.
'A$\$$B' means 'A is equal to B'.
'A$\pounds$B' means 'A is either equal to or smaller than B'.
'A$\&$ B' means 'A is smaller than B'.
'A$@$ B' means 'A is greater than B'.

Statements: M $@$ N, P $@$ R, P $\&$ N
Conclusions: I. P $\pounds$ M II. R $\&$ N

In the given question is coded with alphabets and mathematical operators.
'P $+$ Q' means 'P is greater than Q'.
'P $\times$ Q' means 'P is either greater than or equal to Q'.
'P $=$ Q' means 'P is equal to Q'.
'P $÷$ Q' means 'P is smaller than Q'.
'P $-$ Q' means 'P is either smaller than or equal to Q'.

Statements: U $+$ V, W $-$Y, Y $\times$ U
Conclusions:
I. W $+$ U
II. W $÷$ V

In the following questions, the symbols, $@, \copyright , *, \$$ and $\#$ are used with the following meanings:
'P $@$ Q' means 'P is neither smaller than nor equal to Q'.
'P $\copyright$Q' means 'P is not smaller than Q'.
'P $*$Q' means 'P is not greater 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'.

Statements: D $\$$ T, T $\copyright$ M, M $\#$ K
Conclusions: I. M$\$$ D II. D $@$ M

'A $\#$ B' means 'A is not greater than B'.
'A $\$$ B' means 'A is neither smaller than nor equal to B'.
'A $?$ B' means 'A is neither greater than nor smaller than B'.
'A $*$ B' means 'A is neither greater than nor equal to B'.
'A $@$ B' means 'A is not smaller than B'.

Answer the following statements using the given conditions --
Statements: U $\$$ V, W  $*$ X, U $@$ X
Conclusions:
I. V $@$ X
II. P $*$ X

In these questions, certain symbols have been used to indicate relationships between elements follows:
'A$*$B' means 'A is either equal to or greater than B'.
'A$\$$B' means 'A is equal to B'.
'A$\pounds$B' means 'A is either equal to or smaller than B'.
'A$\&$ B' means 'A is smaller than B'.
'A$@$ B' means 'A is greater than B'.

Statements: P $@$ R, M $@$ N, P $\&$ N
Conclusions: I. N $@$ R II. P $\&$ M

In the given question is coded with alphabets and mathematical operators. Each operator contains certain meaning.
'P $+$ Q' means 'P is greater than Q'.
'P $\times$ Q' means 'P is either greater than or equal to Q'.
'P $=$ Q' means 'P is equal to Q'.
'P $÷$ Q' means 'P is smaller than Q'.
'P $-$ Q' means 'P is either smaller than or equal to Q'.

Statements: M $÷$ N, P $\times$ Q, P $+$N
Conclusions:
I. N $+$Q
II. N $-$ Q

In a certain code language CAT is coded as 24, what will be the code number for BAT in the same code language ?

In the following questions the symbols $\$, @, *, **$and $\#$ are used with the following meanings:
$\text{'}\mathrm{A}\$\mathrm{B}\text{'}$ means 'A is greater than B'.
$\text{'}\mathrm{A}@\mathrm{B}\text{'}$ means 'A is either greater than or equal to B'.
$\text{'}\mathrm{A}*\mathrm{B}\text{'}$ means 'A is equal to B'.
$\text{'}\mathrm{A}**\mathrm{B}\text{'}$ means 'A is smaller than B'.
$\text{'}\mathrm{A}\#\mathrm{B}\text{'}$ means 'A is either smaller than or equal to B'.

Statements: $\mathrm{G} \$ \mathrm{H}, \mathrm{J} \# \mathrm{K}, \mathrm{H} * \mathrm{K}$
Conclusions:
$$\begin{gathered} \mathrm{I}. \mathrm{H} \$ \mathrm{J} \\ \mathrm{II}. \mathrm{J} * \mathrm{H} \end{gathered}$$

Statements : $\mathrm{R} \$ \mathrm{J}, \mathrm{J} \% \mathrm{D}, \mathrm{D} ⭐ \mathrm{F}$

Conclusions :  $\mathrm{I}. \mathrm{D} \$ \mathrm{R}$

$\mathrm{II}. \mathrm{D} @ \mathrm{R}$

Some relationships have been expressed through symbols which are explained below:

$0=$ greater than

$∆=$ not equal to

$\times =$ not less than

$+=$equal to

$\varphi =$ not greater than

$\theta =$ less than

$a \theta b \theta c$ implies:

In the following questions, find the relationship that can definitely be deducted from the given relationships. The symbol used is as follows:
$\bullet$  means ‘greater than’,
$\square$  means ‘less than’,
$\times$  means ‘not equal to’,
$∆$  means’ equal to’.
If 3A  $∆$ 2B, and B  $∆$ 3C, therefore?

In this question, a relationship between different elements is shown in the statement(s). The statements are followed by Some conclusions. Give answer

Statements: B$>$G, G$>$M, M$=$T

Conclusions:
$\mathrm{I}.$ B$>$T
$\mathrm{II}.$ G$=$T

In the question, a relationship between different elements is shown in the statement(s). The statements are followed by Some conclusions. Give answer

Statements: L $>$ M, M $=$ W, T $>$ W
Conclusions:
$\mathrm{I}.$ T $<$ M
$\mathrm{II}.$ L $>$ W

In the question.

> stands for =

< stands for $\ne$

$\times$stands for >

+ stands for <

= stands for $\le$

$-$ stands for $\ge$

In the following question,identify one amongst the four responses which would be a correct inference that can be drawn from given definitions and premises - 

Definitions - A means greater than, B means equal to, C means not less than, D means less than, E means not equal to and F means not greater than.

Premises: $(p F 3q)$ and $(3q D 2r)$

In the following question,identify one amongst the four responses which would be a correct inference that can be drawn from given definitions and premises - 

Definitions - A means greater than, B means equal to, C means not less than, D means less than, E means not equal to and F means not greater than.

Premises: $(2a C 3b)$ and $(3b B c)$

In the following question,identify one amongst the four responses which would be a correct inference that can be drawn from given definitions and premises - 

Definitions - A means greater than, B means equal to, C means not less than, D means less than, E means not equal to and F means not greater than.

Premises: $(2x E y)$ and $(2y F 3z)$