Coded Inequalities

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 meanings as illustrated below:

'$\mathrm{P}\copyright \mathrm{Q}$' means 'P' is greater than 'Q'.
'$\mathrm{P}\%\mathrm{Q}$' means 'P' is smaller than 'Q'.
'$\mathrm{P}@\mathrm{Q}$' means 'P' is either greater than or equal 'Q'.
'$\mathrm{P}\$\mathrm{Q}$' means 'P' is either smaller than or equal to 'Q'.
'$\mathrm{P}\#\mathrm{Q}$' means 'P' is equal to 'Q'.

Now in each of the following questions assuming the given statements to be true, find which of the two conclusions, I, II given below them is/are definitely true and give your answer accordingly. Give Answer:

A) If only conclusion I is true.
B) If only conclusion II is true.
C) If either conclusion I or II is true.
D) If neither conclusion I nor II is true.
E) If both conclusions I and II are true

Statements: $\mathrm{T} \% \mathrm{J}, \mathrm{J} @ \mathrm{V}, \mathrm{V} \# \mathrm{W}$T % J, J @ V, V # W
Conclusions: I. $\mathrm{T}\copyright \mathrm{W}$II. $\mathrm{W}@\mathrm{T}$

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, the symbol $@, \copyright , \$, \%,$ and $\#$ are used with the following meaning as illustrated below:
$\mathrm{A}\$\mathrm{B}$ means $\mathrm{A}$ is not smaller than $\mathrm{B}$.
$\mathrm{A}\#\mathrm{B}$ means $\mathrm{A}$ is not greater than $\mathrm{B}$.
$\mathrm{A}@\mathrm{B}$ means $\mathrm{A}$ is neither smaller than nor equal to $\mathrm{B}$.
$\mathrm{A}\copyright \mathrm{B}$ means $\mathrm{A}$ is neither smaller than nor greater than $\mathrm{B}$.
$\mathrm{A}\%\mathrm{B}$ means $\mathrm{A}$ is neither greater than nor equal to $\mathrm{B}$.
Now in each of the following questions assuming the given statement to be true, find which of the three conclusions I, II, and III given below them is/are definitely true and give your answer accordingly.

Statements:
$$\begin{gathered} D\copyright K \\ K\#F \\ F@P \end{gathered}$$
Conclusions:
I. $P@D$
II. $\mathrm{K}\#\mathrm{P}$
III. $\mathrm{F}\$\mathrm{D}$

In the following question, the symbols $@, \$, \%, \#$ and $\copyright$ are used with the following meanings illustrated.
'$\mathrm{A} @ \mathrm{B}$' means 'A is not smaller than B'.
'$\mathrm{A} \$ \mathrm{B}$' means 'A is not greater than B'.
'$\mathrm{A} \% \mathrm{B}$' means 'A is neither smaller than nor equal to B'.
'$\mathrm{A} \# \mathrm{B}$' means 'A is neither greater than nor equal to B'.
'$\mathrm{A} \copyright \mathrm{B}$' means 'A is neither smaller than nor greater than B'.
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—
A If only conclusion I is true.
B If only conclusion II is true.
C If either conclusion I or conclusion II is true.
D If neither conclusion I nor conclusion II is true.
E If both conclusions I and II are true.

Statements:
$\mathrm{E} \% \mathrm{F}, \mathrm{F} \# \mathrm{G}, \mathrm{G} @ \mathrm{H}$
Conclusions:
$\mathrm{I}. \mathrm{H} \# \mathrm{F} \mathrm{II}. \mathrm{E} \% \mathrm{G}$

In the question given below, some symbols *, ©, ð, $ and @ are used with the following meaning as illustrated below :
A*B means A<B
A©B means A > B
AðB means A = B.
A$B means A < B
A@B means A>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 is/are definitely true. Give answer -

Statements : W δ K, K © F, F $ M
Conclusions :
I. M © K
II. W @ F
III. F @ W

In these questions the symbols %, ©, ^, @ and # are used with different meanings as follows:
A % B means A is not greater than B.
A © B means A is neither greater than nor equal to B.
A ^ B means A is not smaller 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.
Now in each of the following questions assuming the given statements to be true, find out which of the conclusions I, II, III given below them is/are definitely true and mark your answer accordingly.

Statements:
A % B,
B ©C,
D @ C,
D © E
Conclusions:
I. A © D
II. E @ C
III. B © D

Directions- In each of the following questions the symbols $\left(\mathrm{\alpha }\right), \left(\mathrm{\beta }\right), \left(\mathrm{\gamma }\right), \left(\mathrm{\delta }\right)$ and $\left(\mathrm{\varphi }\right)$ have been used having their meaning as-
$\mathrm{M}\left(\mathrm{\alpha }\right)\mathrm{N}$ means M is greater than N.
$\mathrm{M}\left(\mathrm{\beta }\right)\mathrm{N}$ means M is smaller than N.
$\mathrm{M}\left(\mathrm{\gamma }\right)\mathrm{N}$ means M is not greater than N.
$\mathrm{M}\left(\mathrm{\delta }\right)\mathrm{N}$ means M is not shorter than N.
$\mathrm{M}\left(\mathrm{\varphi }\right)\mathrm{N}$ means M is equal to N.
Assuming the statement given in each of the following questions as true, deduce, which of the given five alternatives is definitely true ?

Statement-
$\mathrm{B}\left(\mathrm{\varphi }\right)3\mathrm{C}, 4\mathrm{C}\left(\mathrm{\gamma }\right)\mathrm{A}$

In the following questions some symbols @, ©, $, % and # are used with the following meaning as illustrated below:
'A @ Z' means 'A is neither greater than nor equal to Z'.
'A © Z' means 'A is neither smaller than nor equal to Z.
'A $ Z ' means 'A is not smaller than Z'.
'A % Z' means 'A is not greater than Z'.
'A # Z' means 'A is neither smaller than nor greater than Z'.
Now in each of the following questions assuming the given statements to be true, find which of the three conclusions I, II and III given below them is/are definitely true and give your answer accordingly.

Statements: P $ M, Q % N, N © P, T @ Q, M % Z

Conclusions: I. N © M II. T @ N III. Z $ Q

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

X = greater than
? = not less than
# = not equal to
^ = equal to
+ = not greater than
@ = less than

If a X b @ c, which of the following must be true?

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, $@$,$\#$,$\$$$\%$,$*$ are used with the following meanings:
A$@$B means A is not smaller than B.
A$\#$B means A is not smaller or equal to B
A$\$$B means A is not greater or equal to B
A$\%$B means A is neither greater nor smaller than B
A$*$B means A is not greater than B
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.

Statements: C$\$$R, M$@$U, C$@$P, P$\#$U
Conclusions: I. R$\#$U II. C$\#$U

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

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

Statements: L$\#$Q, P$\%$A, H$@$L, Z$@$P, Q$\%$Z

Conclusions: $\mathrm{I}.$ A$\%$H                         $\mathrm{II}.$ A$\copyright$H                                    $\mathrm{III}.$ H$\copyright$A

In this question relationship between different elements is shown in the statements. These statements are followed by two conclusions.

Statements : K < L < M = N > O, P < Q < R = M > S > T
Conclusions : $\mathrm{I}$.  P < O $\mathrm{II}$. N > T

In this question relationship between different elements is shown in the statements. These statements are followed by two conclusions.

Statements : P > Q = R > S < T = U, V > W = S > X > Y = Z
Conclusions : $\mathrm{I}$. P > Z  $\mathrm{II}$. P > X

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 these questions the symbols %, ©, ^, @ and # are used with different meanings as follows:
A % B means A is not greater than B.
A © B means A is neither greater than nor equal to B.
A ^ B means A is not smaller 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.
Now in each of the following questions assuming the given statements to be true, find out which of the conclusions I, II, III given below them is/are definitely true and mark your answer accordingly.

Statements:
Z % Y,
Y © X,
X # W,
W © V
Conclusions:
I. V % X
II. Z # W
III. Z © W

In the following questions, the symbols $@$, $\copyright$, $\$$, $\%$ and $\#$ are used with the following meaning as illustrated below:
'Z$\copyright$X' means 'Z is neither greater than nor equal to X'.
'Z$\%$X' means 'Z is neither smaller than nor greater than X'.
'Z$\$$X' means 'Z is not greater than X'.
'Z$@$X' means 'Z is neither smaller than nor equal to X'.
'Z$\#$X' means ' Z is not smaller than X'.
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: Z$@$U, D$\copyright$F, U$\$$D, F$\%$Y, Y$@$B
Conclusions: I. F$@$Z II. F$\%$U

Direction: In the following question, the symbol $@ , \$, *, \#$ and $△$ Are used with the following meaning as illustrated below:

‘$\mathrm{P} \$ \mathrm{Q}$’ means ‘P’ is not smaller than Q’.

‘$\mathrm{P} @ \mathrm{Q}$’ means ‘P is neither smaller than nor equal to Q’.

‘$\mathrm{P} \# \mathrm{Q}$’ means ‘P is neither greater than nor equal to Q’.

‘$\mathrm{P} △ \mathrm{Q}$’ means ‘P is neither greater than nor smaller than Q’.

‘$\mathrm{P} * \mathrm{Q}$’ 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 gave below them is/are definitely true and given your answer accordingly.

Statements: $\mathrm{R}*\mathrm{D}, \mathrm{D} \$ \mathrm{J}, \mathrm{J} \# \mathrm{M}, \mathrm{M}@\mathrm{K}$

Conclusion: $$\begin{gathered} \mathrm{I}. \mathrm{K} \# \mathrm{J} \\ \mathrm{II}. \mathrm{D} @ \mathrm{M} \\ \mathrm{III}. \mathrm{R} \# \mathrm{M} \\ \mathrm{IV}. \mathrm{D} @ \mathrm{K} \end{gathered}$$

(A) Only I is true.

(B) Only II is true.

(C) Only III is true.

(D) Only IV is true.

(E) None of these.

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