Types of Inequalities

In the following questions, the symbols $, @, #, δ 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 equal to Q'.
'P # Q' means 'P is neither greater than nor equal to Q'.
'P δ Q' means 'P is neither greater than nor smaller than Q'.
'P * Q' means 'P is not greater than Q'.
Now in each of the following questions assuming the given statements to be true, find which of the four conclusions I, II, III and IV given below them is/are definitely true and give your answer accordingly.

Statements: R * D, D $ J, J # M, M @ K
Conclusions:
I. K # J II. D @ M
III. R # M IV. D @ K

In the questions given below, certain symbols are used with the following meanings:
P$\#$Q means P is neither equal to nor smaller than Q.
P$\%$Q means P is not smaller than Q.
P$\$$Q means P is neither greater nor smaller than Q.
P and Q means P is neither greater than nor equal to Q.
P$@$Q means P is not greater than Q.
Now in each of the following questions, assuming the given statements to be true, find which of the two conclusions I and ii given below them is / are definitely true.
Give answer
($1$) If only conclusion I is true
($2$) If only conclusion II is true.
($3$) If either conclusion I or II is true.
($4$) If neither conclusion I and II are true.
($5$) If both conclusions I and II are true.

Statements:
Y$\$$Z, B$\#$A,
Y and A
Conclusions:
I. A$\#$Z
II. Y and B

In each question below is given a statement followed by two conclusions numbered I and II. You have to assume everything in the statement to be true, then consider the two conclusions together and decide which of them logically follows beyond a reasonable doubt from the information given in the statement.

Statement: K$\ge$P, M$>$J, C$=$P, K$=$J

Conclusions: I. C$=$K
                     II. K$>$C

In the question given below, some symbols $@, \%, \$, \copyright$ and $\#$ are used with the following meaning as illustrated below :
$\mathrm{A}@\mathrm{B}$ means $\mathrm{A}$ is not greater than $\mathrm{B}$.
$\mathrm{A}\%\mathrm{B}$ means $\mathrm{A}$ is not smaller than $\mathrm{B}$.
$\mathrm{A}\$\mathrm{B}$ means $\mathrm{A}$ is neither smaller than nor greater than $\mathrm{B}$.
$\mathrm{A}\copyright \mathrm{B}$ means $\mathrm{A}$ is neither greater than nor equal to $\mathrm{B}$.
$\mathrm{A}\#\mathrm{B}$ means $\mathrm{A}$ is neither smaller than nor equal to $\mathrm{B}$.
Now in each of the following question, assuming the given statements to be true, find which of the two conclusions I and II given below is/are definitely true. Give answer -

Statements: $\mathrm{VV}\copyright \mathrm{KK}, \mathrm{KK}\%\mathrm{DD}, \mathrm{DD}\$\mathrm{FF}$

Conclusions:

I. $\mathrm{VV}@\mathrm{DD}$

II. $\mathrm{FF}@\mathrm{KK}$

In the following questions, the symbols $+$, $@$, $\copyright$, $\$$ and $∆$ are used with the following meaning as illustrated below:
$\mathrm{M}+\mathrm{N}$ means '$\mathrm{M}$ is not smaller than $\mathrm{N}$'.
$\mathrm{M}@\mathrm{N}$ means '$\mathrm{M}$ is neither smaller than nor equal to $\mathrm{N}$'.
$\mathrm{M}\copyright \mathrm{N}$ means '$\mathrm{M}$ is neither greater than nor equal to $\mathrm{N}$'.
$\mathrm{M}\$\mathrm{N}$ means '$\mathrm{M}$ is neither smaller than nor greater than $\mathrm{N}$'.
$\mathrm{M}∆\mathrm{N}$ means '$\mathrm{M}$ is not greater than $\mathrm{N}$'.
Now in each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is/are definitely true and give your answer accordingly.

Statements : $\mathrm{W}+\mathrm{R}, \mathrm{S}\$\mathrm{Z}, \mathrm{X}\copyright \mathrm{W}, \mathrm{S}∆\mathrm{R}$
Conclusions :

I. $\mathrm{R}\copyright \mathrm{S}$

II. $\mathrm{X}@\mathrm{S}$

In the following question, assuming the given statements to be true, find which of the two conclusions $\mathrm{I}$ and $\mathrm{II}$ given below is/are definitely true.

Give answer.
$1.$ If only conclusion $\mathrm{I}$ is true.
$2.$ If only conclusion $\mathrm{II}$ is true.
$3.$ If either conclusion $\mathrm{I}$ or $\mathrm{II}$ is true.
$4.$ If neither conclusion $\mathrm{I}$ nor $\mathrm{II}$ is true.
$5.$ If both conclusions $\mathrm{I}$ and $\mathrm{II}$ are true.

Statement: M $<$ N $>$ O $>$ P $<$ R $>$ S

In the following questions some symbols $@,\copyright ,\$,\%$ and $\#$ are used with the following meaning as illustrated below:

'$\mathrm{A}\copyright \mathrm{B}$' means '$\mathrm{A}$ is not greater than $\mathrm{B}$'.
'$\mathrm{A}\%\mathrm{B}$' means '$\mathrm{A}$ is not smaller than $\mathrm{B}$'.
'$\mathrm{A}\$\mathrm{B}$' means '$\mathrm{A}$ is neither smaller than nor equal to $\mathrm{B}$'.
'$\mathrm{A}@\mathrm{B}$' means '$\mathrm{A}$ is neither greater than nor equal to $\mathrm{B}$'.
'$\mathrm{A}\#\mathrm{B}$' means '$\mathrm{A}$ is neither smaller than nor greater than $\mathrm{B}$'.
Now in the following question assuming the given statements to be true, find which of the two conclusions I, and II given below them is/are definitely true and give your answer accordingly.

Statements:

$\mathrm{A}\copyright \mathrm{C}, \mathrm{A}\%\mathrm{J}, \mathrm{N}\$\mathrm{J}, \mathrm{C}@\mathrm{O}$

Conclusions:

I. $\mathrm{A}@\mathrm{N}$

II. $\mathrm{J}@\mathrm{O}$

In the following questions, the symbols $\copyright ,\%,6,@$ and $*$ are used with the following meaning as illustrated below:
'$\mathrm{P}\copyright \mathrm{Q}$' means '$\mathrm{P}$ is not smaller than $\mathrm{Q}$'.
'$\mathrm{P}\%\mathrm{Q}$' means '$\mathrm{P}$ is neither smaller than nor equal to $\mathrm{Q}$.
'$\mathrm{P}6\mathrm{Q}$' means '$\mathrm{P}$ is not greater than $\mathrm{Q}$'
'$\mathrm{P}@\mathrm{Q}$' means '$\mathrm{P}$ is neither greater than nor smaller than $\mathrm{Q}$.
'$\mathrm{P}*\mathrm{Q}$' means '$\mathrm{P}$ is neither greater than nor equal to $\mathrm{Q}$.
Now in each of the following questions, assuming the given statements to be true find which of the three conclusions I, II, III and IV given below them is/are definite true and given your answer accordingly.

Statements: $\mathrm{F}\%\mathrm{N}, \mathrm{N}\copyright \mathrm{W}, \mathrm{W}6\mathrm{Y}, \mathrm{Y}*\mathrm{T}$
Conclusions:
I. $\mathrm{F}\%\mathrm{W}$

II. $\mathrm{T}\%\mathrm{N}$
III. $\mathrm{N}\%\mathrm{Y}$

IV. $\mathrm{T}\%\mathrm{W}$

Study the following information carefully and answer the question given below: Which one of the following could be a correct or proper inference of the following given statement? α means greater than β means equal to θ means not less than γ means less than δ means not equal to η means not greater than

$2$xηy and $2$x Î$\pm$ O

In the following questions, the symbols,  $@$, $\copyright$, $\%$, $\$$ and d are used with the following meanings:
P$\%$Q means P is greater than Q.
P$\#$Q means P is neither greater than nor smaller than Q.
P$@$Q means P is smaller than Q.
P$\copyright$Q means P is either smaller than or equal to Q.
P$\$$Q means P is either greater than or equal to Q.
In each of the following questions assuming the given statements to be true, find out which of the two conclusions I and II given below them is/are definitely true.

Give answer:
($1$) If only conclusion I is true.
($2$) If only conclusion II is true.
($3$) If either conclusion I or conclusion II is true.
($4$) If neither conclusion I nor conclusion II is true.
($5$) If both conclusions I and II are true.

Statements: F$\#$T, T$\$$M, M$\copyright$R
Conclusions:
I. R$\$$F
II. M$\copyright$F

In the following questions, the symbols $>,=,\ge ,$ and $<$ are used with the following meaning.

A$>$B means A is neither greater than nor smaller than B.
A$\ge$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 equal to B.
Now in each of the following questions, assuming the given statements to be true, find which of the two conclusions I and II have given them is/are definitely true. Given answer
($1$) If only conclusion I is true. 
($2$) If only conclusion II is true.
($3$) If either conclusion I or II is true.
($4$) If neither conclusion I nor II is true.
($5$) If both conclusions I and II are true.

Statements: M$<$A, V$>$M, S$\ge$V
Conclusion:

I. A$<$S

II. S$<$A

In the following questions, some symbols,  $*$, $@$, $=$, $\%$ and $\#$ are used with the following meaning as illustrated below :
A$*$B means A is greater than B
A$\#$B means A is greater than or equal to B
A$=$B means A is equal to B
A$\%$B means A is less than B
A$@$B means A is less than or equal to B
Now in each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is/are definitely true and give your answer accordingly.

Statements : M$@$O, O$\%$J, J$=$K
Conclusions : I. M$\%$J II. M$=$K

In the following questions some symbols $\$$, and , $@$, $\copyright$ and $\#$ are used with the following meaning as illustrated below :
X $\$$Y means X is neither greater than nor equal to Y.
X and Y mean X is not smaller than Y.
X$@$Y means X is not greater than Y.
X$\copyright$Y means X is neither greater than nor smaller than Y.
X$\#$Y means X is neither smaller than nor equal to Y.
Now in each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is/are definitely true and give an answer accordingly.

Statements: QB, MB, K and M
Conclusions: I. KB II. QK

In this question, the symbols, $\$$, $@$, $\copyright$, $\%$ and $\#$ are used with different meanings as follows:

P$\$$Q means P is not smaller than Q.

P$@$Q means P is not greater than Q.

P$\copyright$Q means P is neither greater than nor equal to Q.

P$\%$Q means P is neither smaller than nor equal to Q.

P$\#$Q means P is neither greater than nor smaller than Q.

In the question, three statements showing relationships have been given, which are followed by three conclusions I, II and III. Assuming that the given statements are true, find out which conclusion(s) is/are definitely true.

Statements:
R$@$N, N$\%$E, E$\#$K
Conclusions:
I. R$\copyright$K
II. K$\%$N
III. E$\%$R

In the following question, the symbols $\copyright , \$, \%, @$ and $\#$are used with the following meaning as illustrated below.
'$P@Q$' means '$P$ is neither greater than nor equal to $Q$'.
'$P\$Q$' means '$P$ is not smaller than $Q$'.
'$P\#Q$' means '$P$ is neither smaller than nor greater than $Q$'.
'$P\copyright Q$' means '$P$ is not greater than $Q$'.
'$P\%Q$' means '$P$ is neither smaller than nor equal to $Q$'.

In the question, the relationship between different elements is shown in these statements are followed by two conclusions given below them is/are definitely true and give your answer accordingly.

Statements : $M\copyright T$, $K\%T$, $K@N$

Conclusions : (I) $N\%M$ (II) $K\%M$

In the following question, the symbols, $@$, $\#$, $\%$, and and $\$$ are used with the following meanings as illustrated below:
A@B means A is equal to B.
A#B means A is greater than B.
A%B means A is less than B.
A and B means A is greater than or equal to B.
A$B means A is less than or equal to B.

Assuming the given statements to be true, find which of the two conclusions I and II given below them is/are definitely true.

Statements: D$@$A, B$\#$C, A$\$$C

Conclusions:
(I) B$@$D
(II) B$\#$A

In the following questions, the symbols, $@$, and, $\$$, $\%$ and $*$ are used with the following meaning as illustrated below-
P and Q mean P is not smaller than Q.
P$*$Q means P is not greater than Q.
P$@$Q means P is neither greater than nor smaller than Q.
P$\$$Q means P is neither smaller than nor equal to Q
P$\%$Q means P is neither greater than nor equal to Q.
In each of the following questions assuming the given statements to be true, find which of the conclusions I, II, III and IV given below them is/are definitely true and give your answers accordingly.

Statements: O$@$M, A and B, N and M, B$\%$O
Conclusions:
I. N and O
II. M$\$$B
III. A$*$N
IV. B$@$N

In the question, relationship between different elements is shown in the statements. These statements are followed by two conclusions.
Mark answer
A) If only conclusion I follows.
B) If only conclusion II follows.
C) If either conclusion I or II follows.
D) If neither conclusion I nor II follows.
E) If both conclusions I and II follow.

Statement: $\mathrm{F} \le \mathrm{M}, \mathrm{M} > \mathrm{R}, \mathrm{E} \ge \mathrm{F}$
Conclusion:
$\mathrm{I}.\mathrm{M} > \mathrm{E} \mathrm{II}.\mathrm{R} \ge \mathrm{E}$

In the following questions, assuming the given statements to be true, find which of the two conclusions I and II given below is/are definitely true.

Statements: $\mathrm{S}<\mathrm{T}<\mathrm{U}, \mathrm{U}>\mathrm{V}>\mathrm{W}, \mathrm{W}<\mathrm{X}<\mathrm{Y}$

Conclusions:

I. $\mathrm{X}>\mathrm{U}$

II. $\mathrm{Y}>\mathrm{W}$

In each of the following questions, assuming the given statements to be true, find which of the following options holds true:
Give answer-
($1$) if only conclusion I is true.
($2$) if only conclusion II is true.
($3$) if either conclusion I or conclusion II is true.
($4$) if neither conclusion I nor conclusion II is true
($5$) if both conclusions I and II are true.

Statement: U$=$M, P$>$U, M$>$B
Conclusion:
I. P$=$B
II. P$>$B