Inequality Questions

Inequality Questions for Clerk Prelims Exam

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

 

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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) 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.

 

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

 

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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.

 

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 < 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) 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

 

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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

 

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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) 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

 

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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

 

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.

 

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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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This post was last modified on September 12, 2023 1:58 pm