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Coding Inequalities - Advanced Level: inequality logic ADVANCED

Exam-focused holistic practice β˜… worksheet: 20 advanced-level coding inequalities questions. Worksheet 23 of 30 targets inequality logic. Build proficiency in symbolic inequalities, code-based comparison, inequality codes with detailed solutions. Ideal for advanced competitive exam preparation.

πŸ“ Worksheet 23 of 30 β€’ 20 questions β€’ ⏱️ Estimated time: 20 minutes β€’ 🎯 Advanced level

What you'll learn in this worksheet:
Your progress through Coding Inequalities
Worksheet 23 of 30 (76% complete)

Question 1

Directions: @ = >, # = <, $ = =, % = >=, ^ = <=, & = != Statement: X @ Z $ D Conclusions: I. X ≀ D II. X = D Which of the following is true?
Decoded statement: X > Z = D

Conclusion I (X ≀ D): Does not follow
Conclusion II (X = D): Does not follow

Therefore, Neither I nor II is correct.
basic, symbols

Question 2

Directions: β†’ = >, ← = <, ↔ = =, β‡’ = >=, ⇐ = <=, ⇔ = != Statement: D β†’ C β†’ V β†’ Y β†’ T Conclusions: I. D > V II. V < T Which of the following is true?
Decoded statement: D > C > V > Y > T

Chain: A > B > C > D > E
D > V follows by transitivity, V < T does not follow

Therefore, I only is correct.
transitive, logic

Question 3

Directions: * = >, + = <, = = =, - = >=, / = <=, ! = != Statement: H = T * S Conclusions: I. H > S II. H ≀ S Which of the following is true?
Decoded statement: H = T > S

Conclusion I (H > S): Follows
Conclusion II (H ≀ S): Does not follow

Therefore, I only is correct.
basic, symbols

Question 4

Directions: ♦ = >, β™  = <, β™₯ = =, ♣ = >=, β—Š = <=, β˜… = != Statement: H β™  E β™₯ B ♦ Q Conclusions: I. H > Q II. E < B Which of the following is true?
Decoded statement: H < E = B > Q

Pattern: A < B = C > D
A < D cannot be determined, B = C is true

Therefore, II only is correct.
complex, mixed

Question 5

Directions: ♦ = >, β™  = <, β™₯ = =, ♣ = >=, β—Š = <=, β˜… = != Statement: G β™  Q β™₯ U ♦ X Conclusions: I. G > X II. Q < U Which of the following is true?
Decoded statement: G < Q = U > X

Pattern: A < B = C > D
A < D cannot be determined, B = C is true

Therefore, II only is correct.
complex, mixed

Question 6

Directions: * = >, + = <, = = =, - = >=, / = <=, ! = != Statement: W * Z + V Conclusions: I. W β‰₯ V II. W = V Which of the following is true?
Decoded statement: W > Z < V

Conclusion I (W β‰₯ V): Does not follow
Conclusion II (W = V): Does not follow

Therefore, Neither I nor II is correct.
basic, symbols

Question 7

Directions: ♦ = >, β™  = <, β™₯ = =, ♣ = >=, β—Š = <=, β˜… = != Statement: T ♦ F ♦ E β™  Q Conclusions: I. T > Q II. F < E Which of the following is true?
Decoded statement: T > F > E < Q

Pattern: A > B > C < D
No direct relation between A-D or B-C

Therefore, Neither I nor II is correct.
complex, mixed

Question 8

Directions: @ = >, # = <, $ = =, % = >=, ^ = <=, & = != Statements: C $ D, A % R Conclusions: I. C > A II. D < R Which of the following is true?
Decoded statements: C = D, A >= R

Since the statements involve different variables with no connecting links, no definite relationship can be established between C and A or between D and R.

Therefore, Neither I nor II is correct.
multiple, analysis

Question 9

Directions: β†’ = >, ← = <, ↔ = =, β‡’ = >=, ⇐ = <=, ⇔ = != Statement: P ← E ← R β†’ A ↔ U Conclusions: I. P > R II. R < U Which of the following is true?
Decoded statement: P < E < R > A = U

Chain: A < B < C > D = E
No transitive relation between A-C or C-E

Therefore, Neither I nor II is correct.
transitive, logic

Question 10

Directions: @ = >, # = <, $ = =, % = >=, ^ = <=, & = != Statement: H $ D # R Conclusions: I. H β‰₯ R II. H > R Which of the following is true?
Decoded statement: H = D < R

Conclusion I (H β‰₯ R): Does not follow
Conclusion II (H > R): Does not follow

Therefore, Neither I nor II is correct.
basic, symbols

Question 11

Directions: ♦ = >, β™  = <, β™₯ = =, ♣ = >=, β—Š = <=, β˜… = != Statement: S β™  T β™₯ Y ♦ D Conclusions: I. S > D II. T < Y Which of the following is true?
Decoded statement: S < T = Y > D

Pattern: A < B = C > D
A < D cannot be determined, B = C is true

Therefore, II only is correct.
complex, mixed

Question 12

Directions: β†’ = >, ← = <, ↔ = =, β‡’ = >=, ⇐ = <=, ⇔ = != Statement: C ← X ← D β†’ H ↔ R Conclusions: I. C > D II. D < R Which of the following is true?
Decoded statement: C < X < D > H = R

Chain: A < B < C > D = E
No transitive relation between A-C or C-E

Therefore, Neither I nor II is correct.
transitive, logic

Question 13

Directions: Ξ” = >, βˆ‡ = <, β—Œ = =, β–‘ = >=, β—‹ = <=, β˜† = != Statement: P Ξ” C βˆ‡ W Conclusions: I. P < W II. P β‰₯ W Which of the following is true?
Decoded statement: P > C < W

Since the conclusions are complementary (one is the exact opposite of the other), exactly one of them must be true. Therefore, either I or II follows.
boolean, logic, complementary

Question 14

Directions: @ = >, # = <, $ = =, % = >=, ^ = <=, & = != Statements: T # Z, C % W Conclusions: I. T > C II. Z < W Which of the following is true?
Decoded statements: T < Z, C >= W

Since the statements involve different variables with no connecting links, no definite relationship can be established between T and C or between Z and W.

Therefore, Neither I nor II is correct.
multiple, analysis

Question 15

Directions: Ξ± = >, Ξ² = <, Ξ³ = =, Ξ΄ = >=, Ξ΅ = <=, ΞΆ = != Statement: X Ξ± S Ξ³ P Conclusions: I. X < P II. X = P Which of the following is true?
Decoded statement: X > S = P

Conclusion I (X < P): Does not follow
Conclusion II (X = P): Does not follow

Therefore, Neither I nor II is correct.
basic, symbols

Question 16

Directions: Ξ” = >, βˆ‡ = <, β—Œ = =, β–‘ = >=, β—‹ = <=, β˜† = != Statement: S Ξ” E βˆ‡ Q Conclusions: I. S < Q II. S β‰₯ Q Which of the following is true?
Decoded statement: S > E < Q

Since the conclusions are complementary (one is the exact opposite of the other), exactly one of them must be true. Therefore, either I or II follows.
boolean, logic, complementary

Question 17

Directions: @ = >, # = <, $ = =, % = >=, ^ = <=, & = != Statements: V # T, P & Q Conclusions: I. V > P II. T < Q Which of the following is true?
Decoded statements: V < T, P != Q

Since the statements involve different variables with no connecting links, no definite relationship can be established between V and P or between T and Q.

Therefore, Neither I nor II is correct.
multiple, analysis

Question 18

Directions: * = >, + = <, = = =, - = >=, / = <=, ! = != Statement: A * D D - Z Z + R Conclusions: I. A > R II. A < R Which of the following is true?
Decoded statement: A > D D >= Z Z < R

Conclusion I (A > R): Does not follow
Conclusion II (A < R): Does not follow

Therefore, Neither I nor II is correct.
chain, sequence

Question 19

Directions: * = >, + = <, = = =, - = >=, / = <=, ! = != Statements: S - F, Q - D, B - P Conclusions: I. S > Q II. F < D Which of the following is true?
Decoded statements: S >= F, Q >= D, B >= P

Since the statements involve different variables with no connecting links, no definite relationship can be established between S and Q or between F and D.

Therefore, Neither I nor II is correct.
multiple, analysis

Question 20

Directions: * = >, + = <, = = =, - = >=, / = <=, ! = != Statement: H = Q Q / C C - D Conclusions: I. H β‰₯ D II. H ≀ D Which of the following is true?
Decoded statement: H = Q Q <= C C >= D

Conclusion I (H β‰₯ D): Follows
Conclusion II (H ≀ D): Follows

Therefore, Both I and II is correct.
chain, sequence
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