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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.

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.

2) What is coded Inequality?

Ans. It simply means something that is not equal in all the sense whether social, economical, or mathematical sense

Start Quiz

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 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

Try Inequality Questions For Online Mock Test

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 E = H

I)Q ≤ I —– (Q > V < I) —-False

II) E ≤ V ——(V 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) 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 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.

Start Quiz

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

Try Inequality Questions For Online Mock Test

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.

Start Quiz

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 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) 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 II 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) 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) 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

Try Inequality Questions For Online Mock Test

Answers :

21) Answer: D

I) M < Y(M 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

Start Quiz

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 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) E < L

III) 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) 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:

I)K > Q

II)S ≤ I

III) 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) P > S

II) 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) B < A

III) 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) 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

Try Inequality Questions For Online Mock Test

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

Start Quiz

Direction (41-45): In these questions, the relationship between different elements is shown in the statements. These statements are followed by two conclusions:

(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 conclusion I and II follow.

41) Statements:

P ≥ N = G > T < K > L

Conclusion:

I). G < K

II). P > T

42) Statements:

Q > K > L ≤ C = H > I

Conclusion:

I). K > I

II). H > L

43) Statements:

G ≥ X ≥ T = K = L > O

Conclusion:

I). G > O

II). G > K

44) Statements:

J ≥ C < K ≤ N = G < P

Conclusion:

I). C > N

II). G > J

45) Statements:

N ≥ O ≥ R = S ≤ K ≤ L

Conclusion:

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.

Try Inequality Questions For Online Mock Test

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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