The aspirants are all searching for detailed information on Inequality for competitive exams. Our IBPS Guide team is providing new series of Inequality questions for competitive exams. Inequality is an important topic in Reasoning ability. There are four types of inequality: basic, either – or case, coded inequality, and reverse inequality. The types of Inequality Reasoning based questions that come up in various government exams are given above in the article. Inequality Reasoning refers to expressions that contain inequality signs such as <, >, =, etc. To understand the questions based on mathematical inequalities, candidates must know about various signs, which are used in such types of questions. Inequality is a phenomenon that we have known or come across for a while now. It simply means something that is not equal in all sense whether social, economical, or mathematical sense. Inequality is a mathematical relationship between two expressions and is represented using one of the following less than or equal to, less than, not equal to, greater than or equal to, and greater than.Â
Dear Aspirants, Our IBPS Guide team is providing new series of Reasoning Questions for competitive exams so the aspirants can practice it on a daily basis. These questions are framed by our skilled experts after understanding your needs thoroughly. Aspirants can practice these new series of questions daily to familiarize themselves with the exact exam pattern and make their preparation effective.
Inequality for competitive exams (FAQ):
1) What are the symbols used in inequalities?
Ans. Less than or equal to, less than, not equal to, greater than or equal to, and greater than.Â
2) What is coded Inequality?
Ans. It simply means something that is not equal in all the sense whether social, economical, or mathematical sense
Direction (1-4): In the given question, the relationship between different elements is shown in the statements followed by some conclusions. Find the conclusion which is definitely true.
1) Statements:
H > N ≤ O = P > M ≥ T < V
Conclusions:
I). P ≥ N
II). H > O
A.Only Conclusion I is true
B.Either Conclusion I or II is true
C.Both Conclusions I and II are true
D.Only Conclusion II is true
E.Neither Conclusion I nor II is true
2) Statements:
K = L ≥ M < N < O ≥ P < Q
Conclusions:
I). N > K
II). O > M
A.Only Conclusion I is true
B.Either Conclusion I or II is true
C.Both Conclusions I and II are true
D.Only Conclusion II is true
E.Neither Conclusion I nor II is true
3) Statements:
A ≥ B > C = D; E ≥ D < F > U
Conclusions:
I). D > B
II). F ≥ C
A.Only Conclusion I is true
B.Either Conclusion I or II is true
C.Both Conclusions I and II are true
D.Only Conclusion II is true
E.Neither Conclusion I nor II is true
4) Statements:
S > B = Y ≤ U; T > Y < F ≤ P
Conclusions:
I). P > B
II). S > Y
A.Only Conclusion I is true
B.Either Conclusion I or II is true
C.Both Conclusions I and II are true
D.Only Conclusion II is true
E.Neither Conclusion I nor II is true
Direction (5-8): In each of the following questions, the relationship between different elements is shown in the statements. The statements are followed by Conclusions. Find the conclusion which is definitely true.
5) Statements:
Q > V < I < L > E = H
Conclusions:
I)Q ≤ I
II)E ≤ V
A.Only conclusion I is true
B.Only conclusion II is true
C.Either conclusion I or II is true
D.Both conclusions I and II are true
E.Neither conclusion I nor II is true
6) Statements:
D ≥ E < S; P ≤ Y ≤ E
Conclusions:
I)D > P
II)P = D
A.Only conclusion I is true
B.Only conclusion II is true
C.Either conclusion I or II is true
D.Both conclusions I and II are true
E.Neither conclusion I nor II is true
7) Statements:
E < H > P; H < O < N
Conclusions:
I)P < E
II)E > N
A.Only conclusion I is true
B.Only conclusion II is true
C.Either conclusion I or II is true
D.Both conclusions I and II are true
E.Neither conclusion I nor II is true
8) Statements:
D ≥ E < S; P ≤ Y ≤ E
Conclusions:
I)P < S
II)D ≥ Y
A.Only conclusion I is true
B.Only conclusion II is true
C.Either conclusion I or II is true
D.Both conclusions I and II are true
E.Neither conclusion I nor II is true
Direction (9-10): In the given question, the relationship between different elements is shown in the statements followed by two conclusions. Find the conclusion which is definitely true.
Give Answers:
a). Only conclusion I is true
b). Only conclusion II is true
c). Both conclusions I and II are true
d). Either conclusion I or II is true
e). Neither conclusion I nor II is true
9) Statements:
R < Q = W ≤ B; B > T = M < U
Conclusions:
I). W < M
II). M > Q
10) Statements:
L = T ≤ R = S; R ≤ Q = V ≥ A
Conclusions:
I). L < Q
II). Q = L
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Answers :
1) Answer: A
H > N ≤ O = P > M ≥ T < V
Conclusions:
I). P ≥ N: True (As P= O ≥ N)
II). H > O: False (As H > N ≤ O)
2) Answer: D
K = L ≥ M < N < O ≥ P < Q
Conclusions:
I). N > K: False (As N > M ≤ L = K)
II). O > M: True (As O > N > M)
3) Answer: E
A ≥ B > C = D; E ≥ D < F > U
Conclusions:
I). D > B: False (As D = C < B)
II). F ≥ C: False (As F > D =C)
4) Answer: C
S > B = Y ≤ U; T > Y < F ≤ P
Conclusions:
I). P > B: True (As P ≥ F > Y =B)
II). S > Y: True (As S > B = Y)
5) Answer: E
Q > V < I < L > E = H
I)Q ≤ I —– (Q > V < I) —-False
II) E ≤ V ——(V < I < L > E) —–False
6) Answer: C
D ≥ E < S; P ≤ Y ≤ E
I)D > P —–(D ≥ E ≥ Y ≥ P) —–False
II)P = D ——(P ≤ Y ≤ E ≤ D) ——False
From both conclusions we can say that
Either Conclusion I or II is true
7) Answer: E
E < H > P; H < O < N
I)P < E —–(E < H > P) —–False
II)Â E > N—-(E < H < O < N) —–False
8) Answer: D
D ≥ E < S; P ≤ Y ≤ E
I)P < S —- (P ≤ Y ≤ E < S) —-True
II) D ≥ Y—— (D ≥ E ≥ Y) —–True
9) Answer: E
I). W < M (W ≤ B > T = M) –> False
II). M > Q (M = T < B ≥ W = Q) –> False
Hence, neither conclusion I nor II is true.
10) Answer: D
I). L < Q (L = T ≤ R ≤ Q) –> False
II). Q = L (L = T ≤ R ≤ Q) –> False
Combining both, either conclusion I or II is true.
Direction (11-13): In the given questions, the relationship between different elements is shown in the statements followed by some conclusions. Find the conclusion which is definitely true.
Given Answers:
a) Only conclusion I is true
b) Only conclusion II is true
c) Both conclusions I and II are true
d) Either conclusion I or II is true
e) Neither conclusion I nor II is true
11) Statements:
Q < A < O = I; A ≥ S < P
Conclusions:
I). S < O
II). I > P
12) Statements:
S > U < P ≤ E = A; W ≤ K ≤ U
Conclusions:
I). W ≤ P
II). A ≥ W
13) Statements:
B ≤ F < A ≤ T ≥ R; X ≥ A > Z
Conclusions:
I). X > F
II). T > B
Direction (14-18): In the given questions, the relationship between different elements is shown in the statements followed by two conclusions. Study the given statements and answer the questions.
14) Statement:
W ≤ Q > E ≥ T ≤ F > J = I < U
Conclusions:
I) Q ≤ U
II)T < Q
A.Only conclusion I is true
B.Either conclusion I or II is true
C.Both conclusions I and II are true
D.Only conclusion II is true
E.Neither conclusion I nor II is true
15) Statements:
A ≤ Q = K < G ≥ Y = O; W > U ≥ Q
Conclusions:
I)W > K
II)O ≤ G
A.Only conclusion I is true
B.Either conclusion I or II is true
C.Both conclusions I and II are true
D.Only conclusion II is true
E.Neither conclusion I nor II is true
16) Statement:
C ≤ H < N > S ≥ B ≥ Y = T < F
Conclusions:
I) T ≤ N
II)S > F
A.Only conclusion I is true
B.Either conclusion I or II is true
C.Both conclusions I and II are true
D.Only conclusion II is true
E.Neither conclusion I nor II is true
17) Statements:
D = X < J > K ≥ Q; S ≤ E ≤ D ≤ R
Conclusions:
I)S < J
II)R ≥ K
A.Only conclusion I is true
B.Either conclusion I or II is true
C.Both conclusions I and II are true
D.Only conclusion II is true
E.Neither conclusion I nor II is true
18) Statements:
O ≥ C = P > U = Z; N < E ≤ C > R
Conclusions:
I) R < O
II)O ≥ Z
A.Only conclusion I is true
B.Either conclusion I or II is true
C.Both conclusions I and II are true
D.Only conclusion II is true
E.Neither conclusion I nor II is true
Direction (19-20): In each question, the relationship between different elements is shown in the statements followed by two conclusions. Find the conclusion which is definitely true.
19) Statement:
H = P > L ≥ V < U < T ≥ I
Conclusions:
I). T > L
II). P ≥ V
A.Only conclusion I is true
B.Both conclusions I and II are true
C.Neither conclusion I nor II is true
D.Only conclusion II is true
E.Either conclusion I or II is true
20) Statement:
A ≥ C = B ≤ D > E > F < G
Conclusions:
I). D > C
II). D = C
A.Only conclusion I is true
B.Both conclusions I and II are true
C.Neither conclusion I nor II is true
D.Only conclusion II is true
E.Either conclusion I or II is true
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Answers :
11) Answer: A
Q < A < O = I; A ≥ S < P
Conclusions:
I). S < O (O > A ≥ S) ->True
II). I > P (I = O > A ≥ S < P) ->False
Hence, option a is correct
12) Answer: E
S > U < P ≤ E = A; W ≤ K ≤ U
Conclusions:
I). W ≤ P (P > U ≥ K ≥ W) -> False
II) A ≥ W (A = E ≥ P > U ≥ K ≥ W) -> False
Hence, option e is correct
13) Answer: C
B ≤ F < A ≤ T ≥ R; X ≥ A > Z
Conclusions:
I). X > F (X ≥ A > F) ->True
II). T > B (T ≥ A > F ≥ B) ->True
Hence, option c is correct
14) Answer: D
W ≤ Q > E ≥ T ≤ F > J = I < U
I) Q ≤ U (U > I = J < F ≥ T ≤ E < Q) →False
II) T < Q (Q > E ≥ T) →True
Hence, option d is correct
15) Answer: C
A ≤ Q = K < G ≥ Y = O; W > U ≥ Q
I) W > K (W > U ≥ Q = K) →True
II) O ≤ G (G ≥ Y = O) →True
Hence, option c is correct
16) Answer: E
C ≤ H < N > S ≥ B ≥ Y = T < F
I) T ≤ N (N > S ≥ B ≥ Y = T) →False
II) S > F (S ≥ B ≥ Y = T < F) →False
Hence, option e is correct
17) Answer: A
D = X < J > K ≥ Q; S ≤ E ≤ D ≤ R
I) S < J (J > X = D ≥ E ≥ S) →True
II) R ≥ K (R ≥ D = X < J > K) →False
Hence, option a is correct
18) Answer: A
O ≥ C = P > U = Z; N < E ≤ C > R
I) R < O (O ≥ C > R) →True
II) O ≥ Z (O ≥ C = P > U = Z) →False
Hence, option a is correct
19) Answer: C
H = P > L ≥ V < U < T ≥ I
Conclusions:
I). T > L: False (As T > U > V ≤ L)
II). P ≥ V: False (As P > L ≥ V)
20) Answer: E
A ≥ C = B ≤ D > E > F < G
Conclusions:
I). D > C: False (As D ≥ B = C)
II). D = C: False (As D ≥ B = C)
Combining both, either conclusion I or II is true.
Direction (21-24): In each of the following questions, the relationship between different elements is shown in the statements followed by two conclusions. Find the true conclusion.
21) Statements:
M < U < T < K ≤ B < H; K > N ≥ Y
Conclusions:
I)M < Y
II)T ≥ N
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
22) Statements:
F > R ≥ D > M ≤ V < L; M > G > Q
Conclusions:
I)Â R > Q
II)L < G
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
23) Statements:
G ≤ Y < D < I; O > P > C > B = I;
Conclusions:
I)Y > O
II)B > G
A.If only conclusion I is true
B.If only conclusion II is true
C.If either conclusion I or IIÂ is true
D.If neither conclusion I nor II is true
E.If both conclusions I and II are true
24) Statements:
T < Y ≤ I = O; Y ≥ J ≥ K ≥ W; Z ≤ M ≤ W
Conclusions:
I)O > Z
II)O = Z
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
Direction (25-30): In these questions, the relationship between different elements is shown in the statements. These statements are followed by two conclusions. Find the conclusion which is definitely true.
25) Statements:
B ≥ D < M < P < A
Conclusions:
I)Â B < A
II)A ≥ B
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
26) Statement:
H ≥ M > F < A = B > S
Conclusions:
I)Â F < B
II)M > S
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
27) Statements:
A > T > M > R = S; T ≤ Q
Conclusions:
I)Q > S
II)R < 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.If neither conclusion I nor II is true
E.If both conclusions I and II are true
28) Statements:
F = H ≤ K = E ≤ A > D ≤ C
Conclusions:
I) A > F
II)F = 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.If neither conclusion I nor II is true
E.If both conclusions I and II are true
29) Statements:
H ≤ I = P ≥ O > V; M ≥ O ≥ X = U; T < X ≤ N
Conclusions:
I)P > X
II)P = X
A.Only conclusion I is true
B.Both conclusions I and II are true
C.Neither conclusion I nor II is true
D.Only conclusion II is true
E.Either conclusion I or II is true
30) Statements:
A > B ≥ C < D; H = C ≤ M ≥ P; V < Y > M ≥ U
Conclusions:
I)D > H
II)P < Y
A.Only conclusion I is true
B.Both conclusions I and II are true
C.Neither conclusion I nor II is true
D.Only conclusion II is true
E.Either conclusion I or II is true
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Answers :
21) Answer: D
I) M < Y(M < U < T < K > N ≥ Y)→False
II) T ≥ N(T < K > N)→False
Neither conclusion I nor II is true.
22) Answer: A
I) R > Q(R ≥ D > M > G > Q)→True
II) L < G(G < M ≤ V < L)→False
Only conclusion I is true
23) Answer: B
I) Y > O(O > P > C > B = I > D > Y)→False
II) B > G(B = I > D > Y ≥ G)→True
Only conclusion II is true
24) Answer: C
I) O > Z (O = I ≥ Y ≥ J ≥ K ≥ W ≥ M ≥ Z)→False
II) O = Z (O = I ≥ Y ≥ J ≥ K ≥ W ≥ M ≥ Z)→False
Either conclusion I or II is true.
25) Answer: D
I)B < A (B ≥ D < M < P < A) False
II)A ≥ B (B ≥ D < M < P < A) False
Hence, option d is correct
26) Answer: A
H ≥ M > F < A = B > S
I) F < B (F < A = B) – True
II) M > S (M > F < A = B > S) – False
Hence, option a is correct
27) Answer: E
A > T > M > R = S; T ≤ Q
I) Q > S (Q ≥ T > M > R = S) – True
II) R < A (A > T > M > R) – True
Hence, option e is correct.
28) Answer: C
I) A > F (F = H ≤ K = E ≤ A) False
II) F = A (F = H ≤ K = E ≤ A) False
Combining I and II, Either conclusion I or II is true
29) Answer: E
H ≤ I = P ≥ O > V; M ≥ O ≥ X = U; T < X ≤ N
Conclusions:
I) P > X (P ≥ O ≥ X) –> False
II) P = X (P ≥ O ≥ X) –> False
Combining both, either conclusion I or II is true.
30) Answer: B
A > B ≥ C < D; H = C ≤ M ≥ P; V < Y > M ≥ U
Conclusions:
I) D > H (D > C = H) –> True
II) P < Y (P ≤ M < Y) –> True
Direction (31-34): In each of the following questions, the relationship between different elements is shown in the statements followed by two conclusions. Find the true conclusion.
31) Statements:
H < S ≤ T ≤ Y; R > N ≥ P = O > T
Conclusions:
I)N > H
II)Y ≥ R
A.If only conclusion I follows.
B.If only conclusion II follows.
C.If either conclusion I or II follows.
D.If neither conclusion I nor II follows.
E.If both conclusions I and II follow.
32) Statements:
L < G ≤ I < P = S; J > I ≥ Q > X; J > R > Y
Conclusions:
I)Y < Q
II)P > X
A.If only conclusion I follows.
B.If only conclusion II follows.
C.If either conclusion I or II follows.
D.If neither conclusion I nor II follows.
E.If both conclusions I and II follow.
33) Statements:
P > N ≥ G ≥ S; L ≤ H = S; L = T ≥ V
Conclusions:
I)N > V
II)V = N
A.If only conclusion I follow.
B.If only conclusion II follows.
C.If either conclusion I or II follows.
D.If neither conclusion I nor II follows.
E.If both conclusions I and II follow.
34) Statements:
N < T < V ≤ H; H ≥ M = S; S < R = Q < W
Conclusions:
I)V < M
II)R > T
A.If only conclusion I follows.
B.If only conclusion II follows.
C.If either conclusion I or II follows.
D.If neither conclusion I nor II follows.
E.If both conclusions I and II follow.
Direction (35-37): In each of the following questions, the relationship between different elements are shown in the statements followed by three conclusions. Find the conclusion which is definitely true.
35) Statements:
V < R ≤ E = Q ≤ N ≥ B > L
Conclusions:
I) R ≤ N
II)Â E < L
III)Â Q > V
A.Only I and II follows
B.Only I follow
C.Only II follows
D.Only II and III follow
E.Only I and III follow
36) Statements:
S < R ≤ T < Q; S > I < W = X ≤ V
Conclusions:
I)I < Q
II)T ≤ V
III)Â R > W
A.Only I and II follows
B.Only I follow
C.Only II follows
D.Only II and III follow
E.Only I and III follow
37) Statements:
M > Y > K > S = O; L > O = E ≤ Q ≤ I
Conclusions:Â
I)K > Q
II)S ≤ I
III)Â Y < L
A.Only I and II follows
B.Only I follow
C.Only II follows
D.Only II and III follow
E.Only I and III follow
Direction (38-40): In each of the following questions, the relationship between different elements is shown in the statements followed by three conclusions. Find the conclusion which logically follows.
38) Statements:
P > Q ≥ R; R < S = T; T > U = V
I)Â P > S
II)Â U < S
III) S ≥ P
A.Only I follows
B.Only II follows
C.Only III follows
D.Either I or III and II follow
E.None follows
39) Statements:
A > D = C ≥ B = E ≤ F
I)A ≥ B
II)Â B < A
III)Â F > B
A.Only I follows
B.Only II follows
C.Only III follows
D.Only II & III follow
E.None of these
40) Statements:
X ≤ Y = Z < W ≥ V = U
I)Â Y > W
II) W ≥ U
III) Z ≥ X
A.Only I follows
B.Only I & II follow
C.Only II & III follow
D.Only II follows
E.None of these
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Answers :
31) Answer: A
32) Answer: B
33) Answer: C
34) Answer: D
35) Answer: E
36) Answer: B
37) Answer: C
38) Answer: D
39) Answer: B
40) Answer: C
Direction (41-45): In these questions, the relationship between different elements is shown in the statements. These statements are followed by two conclusions:
(a)Â If only conclusion I follow.
(b)Â If only conclusion II follows.
(c)Â If either conclusion I or II follows.
(d)Â If neither conclusion I nor II follows.
(e)Â If both conclusion I and II follow.
41) Statements:Â
P ≥ N = G > T < K > L
Conclusion:
I). G < K
II). P > T
42) Statements:Â
Q > K > L ≤ C = H > I
Conclusion:
I). K > I
II). H > L
43) Statements:Â
G ≥ X ≥ T = K = L > O
Conclusion:Â Â Â Â Â Â Â
I). G > O
II). G > K
44) Statements:
J ≥ C < K ≤ N = G < P
Conclusion:
I). C > N
II). G > J
45) Statements:Â Â Â Â Â Â
N ≥ O ≥ R = S ≤ K ≤ L
Conclusion:Â Â Â Â Â Â Â
I). N > S
II). L > R
Direction (46-50): In each of the following questions, the relationship between different elements is shown in the statements followed by two conclusions. Find atrue conclusion.
46) Statements:
J < M < Q ≤I = K ≤ V > S = U > A
Conclusions:
I). Q ≤ V
II). V ≥ A
A.If only conclusion I follows.
B.If only conclusion II follows.
C.If either conclusion I or II follows.
D.If neither conclusion I nor II follows.
E.If both conclusions I and II follow.
47) Statements:
Z > R > T = Y ≥ M < Q≥ S ≤ I = H
Conclusions:
I). M ≤ Z
II). H < Y
A.If only conclusion I follows.
B.If only conclusion II follows.
C.If either conclusion I or II follows.
D.If neither conclusion I nor II follows.
E.If both conclusions I and II follow.
48) Statements:
H ≤ Q ≤ T < Y < A = D ≥ I≥ C ≥ M = B
Conclusions:
I). B ≤ A
II). H < D
A.If only conclusion I follows.
B.If only conclusion II follows.
C.If either conclusion I or II follows.
D.If neither conclusion I nor II follows.
E.If both conclusions I and II follow.
49) Statements:
C ≤ Q < T < W = I ≥ F > J > G = M
Conclusions:
I). C > F
II).  W > M
A.If only conclusion I follows.
B.If only conclusion II follows.
C.If either conclusion I or II follows.
D.If neither conclusion I nor II follows.
E.If both conclusions I and II follow.
50) Statements:
U > Q = W < A ≥ P; V < I = M < P
Conclusions:
I). A > I
II). U < M
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.
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Answers :
41) Answer: B
I) G < K (False)
II) P > T (True)
42) Answer: D
I) K > I (False)
II) H > L (False)
43) Answer: A
I) G > O (True)
II) G > K (False)
44) Answer: D
I) C > N (False)
II) G > J (False)
45) Answer: D
I) N > S (False)
II) L > R (False)
46) Answer: A
I). Q ≤ V (Q ≤ I = K ≤ V) -> True
II). V ≥ A ( V > S= U > A) -> False
Only conclusion I follows.
47) Answer: D
I). M ≤ Z ( Z > R > T = Y ≥ M ) -> False
II). H < Y ( Y ≥ M < Q ≥ S ≤ I = H) -> False
Neither conclusion I nor II follows
48) Answer: E
I). B ≤ A (A = D ≥ I ≥ C ≥ M = B ) -> True
II). H < D (H ≤ Q ≤ T < Y < A = D ) -> True
Both conclusions I and II follow
49) Answer: B
I). C > F ( C ≤ Q <=”” w=”I” ≥=”” f=”” )=”” -=””>False
II). W > M ( W = I ≥ F > J > G = M ) -> True
Only conclusion II follows
50) Answer: A
I). A > I (A ≥ P > M = I) -> True
II). U < M (U > Q = W < A ≥ P > M) -> False
Only conclusion I is true.
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