## Inequality Questions

Hello Aspirants, As we all know that Inequality Questions is a vital part of reasoning section for every competitive exams. There are two types of Inequality Questions asked in the examination.(Like – Direct Inequality and Coded Inequality).So here, In this article we will provide different Inequality with some questions.These Reasoning Inequality questions are important for Bank, SSC, SEBI, NABARD, RBI, LIC, and Other state exams. You can attempt these questions & boost your preparation for your examination.

In the Banking exams Reasoning Inequality Questions asked in the Prelims as well as Mains exam.There are 5 Inequalities based questions asked in the prelims exam (Bank).You want to score more in the Inequality section then you should practice more and more Reasoning Inequality questions.

These “Inequality Questions Quiz” is also important for other banking exams such as SBI PO, IBPS PO, IBPS Clerk, SBI Clerk, IBPS RRB Officer, IBPS RRB Office Assistant, IBPS SO, SBI SO and other competitive exams.

## Reasoning Inequality Questions Quiz -6

1.In the following question assuming the given statements to be true, find which of the conclusion(s) among given two conclusions is /are definitely true and then give your answer accordingly.
Statements:
G > P ≥ V > S; N < L = S > M
Conclusions:
I. M > P
II. S < G
A  Only I
B  Only II
C  Either I or II
D  Neither I nor II
E  Both I and II

B. Only II

Given statements are: G > P ≥ V > S; N < L = S > M
On rearranging: G > P ≥ V > S > M or N < L = S > M
Conclusions:
I. M > P (False as P > M)
II. S < G (True)
Thus, only conclusion II is true.

2.Statements:
H ≥ V; V ≠ O; O ≥ K; F < O; O ≥ H; N > H
Conclusions:
I. V = K
II. H > O
III. F ≠ H
A  Only I and II
B  Only II and III
C  Only III and I
D  Only III
E  None is true

E. None is true

Here, according to the given information: H ≥ V ≠ O ≥ K;
F < O ≥ H < N
Conclusions:
I. V = K –> False (as V > O ≥ K or V < O ≥ K)
II. H > O –> False (as H ≥ V < O or H ≥ V > O)
III. F ≠ H –> False (as F ≥ H or F < H)

3.Statements:
D ≤ G; G ≤ A; A < F; C > E; E ≥ A; A > L
Conclusions:
I. E > F
II. C > A
III. G < A
A  Only III
B  Only II
C  Only III and I
D  All are true
E  None is true

B. Only II

Here, according to the given information: D ≤ G ≤ A ≤ F; C > E ≥ A > L
Conclusions:
I. E > F –> False (as E ≥ A and A ≤ F, thus E can be > or < or = F)
II. C > A –> True (as C > E ≥ A)
III. G < A –> False (as G ≤ A)
Therefore, only conclusion II is true

4.Statements:
A ≤ Z > X, Z ≥ B = C < Y, C ≥ D
Conclusions:
I. D ≤ Z
II. A = B
III. X < Y
A  Only II
B  Only I
C  Only III
D  All are true
E  None of these

B. Only I

Given statements: A ≤ Z > X, Z ≥ B = C < Y, C ≥ D
On simplifying: A ≤ Z, Z > X; Z ≥ B = C ≥ D; B = C < Y
Conclusions:
I. D ≤ Z –> True (as Z ≥ B = C ≥ D –> Z ≥ D)
II. A = B –> False (as A ≤ Z and Z ≥ B –> A ≤ Z ≥ B –> clear relationship between A and B cannot be determined)
III. X < Y –> False (as Z > X, Z ≥ B and B = C < Y, so we get, X < Z ≥ B= C < Y –> X < Z ≥ B < Y –> clear relationship between X and Y cannot be determined)
Thus, only conclusion I is true

5.Statements:
X ≤ C > Y > S, Y ≥ N = L < Z
Conclusions:
I. X < Y > Z
II. S > N
III. N = X
A  Only II
B  Only III
C  Only I and II
D  Only I and III
E  None is true

E. None is true

Given statements: X ≤ C >Y > S, Y ≥ N = L < Z
On combining, we get X ≤ C > Y > S; S < Y ≥ N = L < Z
Conclusions:
I. X < Y > Z –> Need not be true (as X ≤ C > Y and Y ≥ N = L < Z, so we get, X ≤ C > Y ≥ N = L < Z –> Deinite relation between X and Y cannot be established)
II. S > N –> False (as S < Y ≥ N –> Deinite relation between S and N cannot be determined)
III. N = X –> Need not be true (as X ≤ C > Y > S and S < Y ≥ N, –> clear relationship between N and X and between X and Y cannot be determined)
Therefore, none of the conclusions is true.

6.In the following question assuming the given statements to be true, find which of the conclusion among given three conclusions is /are deinitely true and then give your answer.
Statements: S ≥ T > V = G; T ≤ K < R < H
Conclusions:
I. V < R
II. S < H
III. K > G
A  Only I is true
B  Both II and III are true
C  Only II is true
D  Both I and III are true
E  All I, II and III are true

D. Both I and III are true

Given statements: S ≥ T > V = G; T ≤ K < R < H
On combining, we get
S ≥ T ≤ K < R < H
H > R > K ≥ T > V = G
Conclusions:
I. V < R –> True (As, H > R > K ≥ T > V = G, R > V)
II. S < H –> False (As, S ≥ T ≤ K < R < H, the exact relation between S and H can’t be established)
III. K > G –> True (As, K ≥ T > V = G, K > G)
Both conclusion I and III are true.

7.Statements: N ≥ O > P = L; H ≥ Q > F = D ≤ P
Conclusions:
I. D < N
II. L > F
III. O > Q
A  Only I is true
B  Only II is true
C  Only III is true
D  Both II and III are true
E  Both I and II are true

A. Only I is true

Given statements: N ≥ O > P = L; H ≥ Q > F = D ≤ P
On combining, we get
H ≥ Q > F = D ≤ P = L and
H ≥ Q > F = D ≤ P < O ≤ N
Conclusions:
I. D < N –> True (As, D ≤ P < O ≤ N, D < N)
II. L > F –> False (As, F = D ≤ P = L, F ≤ L)
III. O > Q –> False (As, Q > F = D ≤ P < O, the exact relation between O and Q can’t be established)
Only I is true.

8.Statements: A ≥ X > Y > W; Z ≤ Y < F = C
Conclusions:
I. Z > W
II. A < F
III. X > C
A  Only I is true
B  Both II and III are true
C  Only III is true
D  All I, II, III are true
E  None of the conclusions is true

E. None of the conclusions is true

Given statements: A ≥ X > Y > W; Z ≤ Y < F = C
On combining, we get
A ≥ X > Y < F = C
Z ≤ Y > W
Z ≤ Y < X ≤ A
W < Y< F = C
Conclusions:
I. Z > W –> False (As, Z ≤ Y > W, the exact relation between Z and W can’t be established)
II. A < F –> False (As, A ≥ X > Y < F, the exact relation between A and F can’t be established)
III. X > C –> False (As, X > Y < F = C, the exact relation between X and C can’t be established)
None of the conclusions is true.

9.Answer the questions on the basis of the information given below In the questions, statements have different relations between different elements. Study the relations carefully and provide the answer as:

Statements: P ≥ Q, Q>R, R = T, U ≤ T
Conclusions:
I. P>R
II. U ≥ R
A  If only conclusion I is true
B  If only conclusion II is true
C  If either conclusion I or II is true
D Neither conclusion I or II is true
E  Both conclusions I and II are true

A. If only conclusion I is true

The following statement can be concluded from the given relations,
P ≥ Q>R= T ≥ U.
Thus conclusion I, P>R is true and conclusion II, U ≥ R is not true.
So, only conclusion I follows.

10.Statements: A>P ≥ N>M; V<L= M>S
Conclusions:
I. S>P
II. M<A
A  If only conclusion I is true
B  If only conclusion II is true
C  If either conclusion I or II is true
D Neither conclusion I or II is true
E  Both conclusions I and II are true 