Types of Inequalities

In the following questions, the symbols@, ©, $,% and # are used with the following meanings illustrated.
˜P $ Q™ means P is neither smaller than nor equal to Q™.
˜P # 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™.
In each of the following questions assuming the given statements to be true, find out which of the three conclusions I, II and III given below them is/are definitely true

Statements :F # N, N © D, D @ R
Conclusions: I. D # F II. R$N III.R $ F

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

Statements : G % J, J @ D, D © T, T $ F

Conclusions : I. F @ D II. G @ D III. G @ F

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

'P $\#$ Q' means 'P is neither greater than nor equal to Q'.
'P $\copyright$ Q' means 'P is neither equal to nor smaller than Q'.
'P $\%$ Q' means 'P is neither smaller than nor greater than Q'.
'P $\$$ Q' means 'P is not smaller than Q'.
'P $@$ Q' means 'P is not greater than Q'.
In the following question, assuming the given statements to be true, find out which of the three conclusions I, II and III given below them is/are definitely true and give your answer accordingly.

Statements:
Z $\#$ F, R $@$ F, D $\copyright$ R
Conclusions:
I. Z $\#$ R
II. F $\#$ D
III. D $\copyright$ Z

In the questions given below, certain symbols are used with the following meaning:
$4 @ 5$ means $4$ is neither greater than nor smaller than $5$.
$4 \% 5$ means $4$ is not greater than $5$.
$4 \$ 5$ means $4$ is not smaller than $5$.
$4 \copyright 5$ means $4$ is neither smaller than nor equal to $5$.
$4 \# 5$ means $4$ is neither greater than nor equal to $5$.
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 below is/are definitely true.

Statements: peak $\%$ near, near $\$$ macabre, ugly $\$$ macabre

Conclusions:

I. near $\#$ macabre

II. near $\$$ macabre

In each of the following questions, two equations are given. You have to solve both the equation and find out the values of $x$ and $y$ and give the answer:

$\mathrm{I}$. $3x^2+13x+14=0$

$\mathrm{II}$. $y^2+7y+12=0$

If A denotes +, B denotes -€“ , C denotes * and D denotes /, then which of the following statements is true

If $x < 25 and 25 < b$ then:

In the question, the relationship between different elements is shown in the statements. These statements are followed by three conclusions $1, 2 \mathrm{and} 3$.

Statements:
$6 < 20, 20 > 5, 5 < 18 > 4, 4 > 3 = 8$

Conclusions:
$$\begin{gathered} 1. 6 < 3 \\ 2. 20 > 18 \\ 3. 20 < 8 \end{gathered}$$

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

'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 greater than Q'.
'P $\#$ Q' means 'P is not smaller than Q'.
'P $@$ Q' means 'P is neither smaller than nor equal to 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 and give your answer accordingly.

Statements: Z $\$$ X, X $\%$ W, W $@$ V, V $@$ J

Conclusions: I. V $@$ X II. X $@$ V

P $@$ Q' means 'P is not smaller than Q'
'P $\%$ Q' means 'P is neither smaller than nor equal to Q'
'P $\times$ Q' means 'P is neither greater than nor equal to Q'
'P $\delta$ Q' means 'P is not greater than Q'
'P $\copyright$ Q' means 'P is neither greater than nor smaller than Q'

Statements:
$F \% N, N \copyright W, W \delta Y, Y \times T$
Conclusions:
$$\begin{gathered} I. F \% W \\ II. T \% N \\ III. N \% Y \\ IV. T \% W \end{gathered}$$

In the following questions, the numbers $6, 14, 18, 5$ and $8$ are used with the following meaning as illustrated below:
'A $6$ S' means 'A is not smaller than S'.
'A $14$ S' means 'A is neither smaller than nor greater than S'.
'A $18$ S' means 'A is neither greater than nor equal to S'.
'A $5$ S' means 'A is not greater than S'.
'A $8$ S' means 'A is neither smaller than nor equal to S'.
Now in each of the following questions assuming the given statements to the true, find which of the four conclusions I, II, III and IV given below is/are definitely true.

Statements: M $18$ U, W $8$ U, M $14$ F
Conclusions:
I. M $14$ U     
II. U $8$ F
III. F $18$ W   
IV. M $18$ W

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 $\copyright$, $\%$ ,$6$, $@$ 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 $Q$.
'$P6Q$' 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 greater than nor equal to $Q$.
Now in the following question, 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: $D6T, T@R,$$R$$\copyright M, M\%K$
Conclusions :
I. $R@D$ II. $R\%D$
III. $K*T$ IV. $M6K$

Directions : In the following questions, 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 neither smaller than nor equal to Q'
'P $@$ Q' means ' P is not greater than Q'
'P $\#$ Q' means 'P is not smaller than Q'
'P $\copyright$ Q' means 'P is neither greater than nor smaller than Q'
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 given your answer accordingly.

Statements : H $\#$ R, R $@$ M, M $\copyright$ N
Conclusions : I. H $*$ M
II. N $*$ R
III. N $\copyright$ R

Which of the following interchange of signs would make the given equation correct?
5 + 3 × 8 - 12 ÷ 4 = 3

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 is/are definitely true. 

Statements : $6 \le 20, 20 > 5, 5<18 \ge 4, 4 \ge 3 = 8$

Conclusions :
$$\begin{gathered} \mathrm{I}. 6 \le 18 \\ \mathrm{II}. 20 > 18 \\ \mathrm{III}. 20 \le 8 \end{gathered}$$

In the question given below, some symbols $@, \%, \$, \copyright$ and $\#$ are used with the following meaning as illustrated below.
$A@B$ means $A$ is not greater than $B$
$A\%B$ means $A$ is not smaller than $B$
$A\$B$ means $A$ is neither smaller than nor greater than $B$.
$A\copyright B$ means $A$ is neither greater than nor equal to $B$
$A\#B$ means $A$ is neither smaller than nor equal to $B$
Now in 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: $VV\copyright KK$, $KK\%DD$, $DD\$FF$
Conclusions: I. $VV@DD$ II. $FF@KK$

In the questions given below, some symbols $*, \$, @, \%, \copyright ,$ are used with the following meaning as illustrated below:
A $*$ B means A $\le$ B
A $\$$ B means A $>$ B
A $@$ B means A $=$ B
A $\%$ B means A $<$ B
A $\copyright$ B means A $\ge$ 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:

U $\$$ K,

K $@$ I,

I $\copyright$ H,

H $\%$ G

Conclusions:
I. I $\%$ U

II. H $*$ K

III. K $\copyright$ G

IV. H $\%$ U

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

Statements: $H\ge G\le L=B, G>F=N\ge U=K$
Conclusions:

$$\begin{gathered} \left(\mathrm{I}\right) B>N \\ \left(\mathrm{II}\right) B>G \end{gathered}$$

In each of the following questions, assuming the given statements to be true, find which of the two conclusions $1$ and $2$ given below is/are definitely true.

Statements:-
$\mathrm{Q} < \mathrm{R} < \mathrm{S}, \mathrm{F} > \mathrm{G} = \mathrm{S}, \mathrm{N} > \mathrm{R} > \mathrm{M}$

Conclusions:-
$1. \mathrm{F} > \mathrm{M}$
$2. \mathrm{N} > \mathrm{Q}$