Inequality Reasoning Questions for Competitive Exams

In today’s article, we delve deep into the topic of “inequality reasoning questions.” Navigating the landscape of reasoning can be challenging, and when it comes to understanding inequality reasoning, the challenge often doubles. Many of you might be wondering, “What exactly are inequality reasoning questions?” Simply put, they are queries that demand you to employ logical skills to decode, decipher, and understand relationships that aren’t always equal. In our discussion, we’ll repeatedly refer to “inequality reasoning” techniques, providing insights into how to tackle “reasoning inequality questions.”

But, why is understanding “inequality questions” so crucial? The answer lies in the nature of logical thinking and comprehension required to solve them. Not only will we be discussing various “inequality questions reasoning” strategies, but we also aim to provide “inequality reasoning questions with answers” to ensure that you gain a holistic understanding of the topic.

By the end of this article, our objective is for you to not only be familiar with “inequalities reasoning questions” but also be equipped with the skills and knowledge to tackle any “inequality reasoning questions” that come your way. So, whether you’re a novice or a pro, there’s something in store for everyone. Dive in with us!

Directions:(1-5)In the following question assuming the given statements to be true, find which of the conclusion among given conclusions is /are definitely true and then give your answers accordingly.

1.
Statement:
E = OE < J < I ≤ B; C > L > K > O; J = L; C < M > B
Conclusion:
I. C > I
II. I = C

Ans: 5
Given statement: E = O; E < J < I ≤ B; C > L > K > O; J = L; C < M > B
On combining: E = O < K < J = L < I ≤ B < M; C > L; C < M
I. C > I → False (L < I; L < C, → There is no relation between C and I)
II. I = C → False (L < I; L < C, → There is no relation between C and I)
Hence, neither I nor II follow.

2.
Statements:
P < L < A = N > E > D; Q > N < O
Conclusions:
I) L < E
II) P < Q

Ans: 2
Given statements: P < L < A = N > E > D; Q > N < O
On combining: P < L < A = N < Q; O > N > E > D
I) L < E → False (as, L < A = N > E → No relation found between L and E)
II) P < Q → True (as, P < L < A = N < Q → P < Q)
Therefore, only Conclusion II is true.

3.
Statements: T < G < Q;          M = W > Y;        Q = L  ≥  K < Y
Conclusions:
I)T < L
II) K < M

Ans: 5
For conclusion I: T < L
Combining statement I and III we get,
T < G < Q = L
Here, the common sign between T and L is ‘<’ and the given conclusion is T < L, hence conclusion I follows.
For conclusion II: K < M
Combining statements II and III we get,
K < Y < W = M
Here, the common sign between K and M is ‘<‘ and the given conclusion is K < M, hence conclusion II follows
Hence, the correct answer would be both conclusions I and II follow.

4.
Statements: S > J = B < E;      M > D = U;       E > W > U
Conclusions:
I) E > D
II) B > M

Ans: 1
For conclusion I: E > D
From statements II and III: E > W > U = D, we get common sign of ‘>’ between E and D, hence, E > D follows.
For Conclusion II: B > M
From statements I, II and III: M > D = U < E > B, we get opposite signs between B and M, hence, B > M does not follow.
Hence, the correct answer would be only conclusion I follow.

5.
Statements: A = X  ≥ L;         E  ≤  J  ≤  F;        L  ≥ Z = E
Conclusions:
I) A < Z
II) Z > F

Ans: 4
For conclusion I: A < Z
Combining statements I and III, we get:
A = X ≥ L ≥ Z
Here, the common sign between A and Z is ‘≥’ and the given conclusion is A < Z, hence, A < Z does not follows.
For conclusion II: Z > F
Combining statements II and III, we get:
Z = E ≤ J ≤ F
Here, common sign between Z and F ‘≤’ and the given conclusion is Z > F, hence, Z > F does not follows.
Hence, the correct answer would be neither conclusion follows.

Directions:(6-10) In these questions relationship between different elements is shown in the statements. Study the conclusions based on the given statement and select the appropriate answer.

6.
Statements:
A < D = M ≥ R; S ≥ M ≥ N
Conclusions:
I. R < S
II. R = S

Ans: 2
S ≥ M ≥ R
Conclusions:
I. R < S ( Not True )
II. R = S (Not True)

7.
Statements:
E > Z = U ≥ T; Y > U ≥ X
Conclusions:
I. E > Y
II. E > X

Ans: 5
Conclusions:
I. E > Y (Not True) (E > U <Y)
II. E > X (True) (E > U ≥ X)

8.
Statements:
A ≥ B ≤ C = T, A < L ≥ V
Conclusions:
I. V ≤ C
II. C > V

Ans: 1
V ≤ L >A ≥ B ≤ C
Conclusions:
I. V ≤ C ( Not True )
II. C > V (Not True)

9.
Statements: 
D < E ≤ C; A > D; B ≥ C
Conclusions:
I. B > D
II. A ≥ C

Ans: 3
Conclusions:
A >D < E ≤ C≤ B
I. B > D (True)
II. A ≥ C (Not True)

10.
Statements:
D > E ≥ C; A > D; B ≥ C
Conclusions:
I. A > C
II. E < A

Ans: 4
A >D > E ≥ C
Conclusions:
I. A > C ( True )
II. E < A ( True )