# Reasoning: Inequalities Set 4

Directions (1 â€“ 5): In the following questions, the symbols @, #, %, \$ and Â© are used with the following meaning as illustrated below:
â€˜P@Qâ€™ means â€˜P is neither smaller than nor equal to Qâ€™.
â€˜P#Qâ€™ means â€˜P is neither greater than nor equal to Qâ€™.
â€˜P%Qâ€™ means â€˜P is not greater than Qâ€™.
â€˜P\$Qâ€™ means â€˜P is not smaller than Qâ€™.
â€˜PÂ©Qâ€™ means â€˜P is neither smaller than nor greater than Qâ€™.

In each of the following questions, mark answer according to above symbols and their meaning.

1. Which of the following does not make P @ S and V # S definitely not true?
A) P @ Q Â© R \$ S \$ T @ U Â© V
B) P \$ Q @ R @ VÂ # T Â© S % U
C) P # Q % R Â© S \$ T Â© U \$ V
E) None of these
Â Option C
Check all the options. And find in which both P > S and V < S are false
In C option, P < Q â‰¤ R = S â‰¥ T = U â‰¥ V. In this P < S and V â‰¤ S Â
2. What will come in place of blank in following below such that both P @ S and V % R are definitely true?
P \$ Q @ R _ S \$ T Â© U \$ V
i) @
iii) %
iv) \$
A) Only (i)
B) Either (i) or (iii)
C) Either (i) or (ii) or (iv)
D) Either (ii) or (iv)
E) All are true
Â
Â  Option D
With option D we get,
P â‰¥ Q > R â‰¥ S â‰¥ T = U â‰¥ V OR P â‰¥ Q > R = S â‰¥ T = U â‰¥ V
With both these we get, P > S and V â‰¤ R definitely true
3. Which of the following makes C \$ E or B % E definitely true?
A) A Â© B \$ C @ D % E # F
B) A # B % C \$ D @ E # F
C) A # B Â© C % D % E \$ F
D) A @ B % C Â© D # E @ F
E) None of these
Â  Option C
Check all the options and find in which both or at least one of B â‰¤ E and C â‰¥ E is true. (because or is given)
In C) option B â‰¤ E Â is true. In all other options, both are false.
4. If “A % B # C Â© D @ E Â© F \$ G” is true then which of the following is definitely not true?
(i) A # D
(iii) B @ D
(iv) E % G
A) Only (i)
B) Only (ii) and (iv)
C) Only (ii) and (iii)
D) Only (i), (iii) and (iv)
E) All are true
Â  Option B
In A % B # C Â© D @ E Â© F \$ G,
A < D so A # D is true
C > D so C Â© F is false (means not true)
We do not have sufficient information about B and D to know relationship, so B @ D cannot be said definitely not true.
E â‰¥ G so E % G is definitely false or not true Â
5. Which of the following makes A \$ C and E # B definitely true?
A) A \$ B \$ C @ D % E # F
B) A \$ D \$ B @ C @ E # F
C) A Â© B # C % D @ E \$ F
D) A Â© B \$ D Â© C @ E @ F
E) None of these
Â Option D
In D option both A \$ C and E # B are true

Direction (6-10): Relationship between different elements is shown in the statements. Find if the conclusions also follow or not.

1. Statements: P >A â‰¤ R > S = T; U > R = V â‰¤ C; S > D â‰¥ E
Conclusions:
I. E â‰¤ C
II. T > D
A) only I follows
B) only II follows
C) either I or II follows
D) neither I nor II follow
E) both I and II follow

Â
Option B
E < S < R â‰¤ C so E < C
T = S > D so T > D
2. Statements: A= B â‰¥ P < T = S; Q > C = D < P < U; E > F < U = V
Conclusions:
I. V > C
II. A > Q
A) only I follows
B) only II follows
C) either I or II follows
D) neither I nor II follow
E) both I and II follow

Â
Option A
V = U > C So V > C
A â‰¥ P > D = C < Q, so relation between A and Q
3. Statements: P â‰¥ B = A â‰¥ S < T = Q; C = S > D > R = J
Conclusions:
I. C â‰¤ P
II. Q > R
A) only I follows
B) only II follows
C) either I or II follows
D) neither I nor II follow
E) both I and II follow

Â
Option E
4. Statements: T â‰¤ S < Q < A = P â‰¥ M = K; R = D â‰¥ A â‰¥ C > S < B = C
Conclusions:
I. K < Q
II. D > T
A) only I follows
B) only II follows
C) either I or II follows
D) neither I nor II follow
E) both I and II follow

Â
Option B
5. Statements: P > A â‰¤ R > S = T; U > R = V â‰¤ C; S > D â‰¤ E
Conclusions:
I. U â‰¥ E
II. U < E
A) only I follows
B) only II follows
C) either I or II follows
D) neither I nor II follow
E) both I and II follow

Â
Option C
U > R > S > D â‰¤ E, so there is no relationship between U and E. But U will be certainly equal to, or greater than, or lesser than E. So these all three symbols are present in options. U â‰¥ E and U < E. SO eother of them will follow.

## 4 Thoughts to “Reasoning: Inequalities Set 4”

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