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Coding Inequalities - Advanced Level: symbolic logic ADVANCED

Boost your speed and accuracy with this high difficulty set πŸ“ˆ worksheet. Worksheet 25 of 30 presents 20 advanced-level coding inequalities problems. Focus on symbolic logic while practicing inequality codes, coded relationships, symbol inequality. Difficulty: complex scenarios and multi-step problems. Perfect for advanced test takers.

πŸ“ Worksheet 25 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 25 of 30 (83% complete)

Question 1

Directions: * = >, + = <, = = =, - = >=, / = <=, ! = != Statement: B * F F + G G - C C / Q Conclusions: I. F > C II. F < C Which of the following is true?
Decoded statement: B > F F < G G >= C C <= Q

Conclusion I (F > C): Does not follow
Conclusion II (F < C): Does not follow

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

Question 2

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

Conclusion I (D < H): Does not follow
Conclusion II (D ≀ H): Does not follow

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

Question 3

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

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

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

Question 4

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

Conclusion I (H < C): Does not follow
Conclusion II (H ≀ C): Does not follow

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

Question 5

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

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

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

Question 6

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

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 7

Directions: Ξ” = >, βˆ‡ = <, β—Œ = =, β–‘ = >=, β—‹ = <=, β˜† = != Statement: V Ξ” X βˆ‡ Q Conclusions: I. V = Q II. V β‰  Q Which of the following is true?
Decoded statement: V > X < 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 8

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

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

Therefore, II only is correct.
complex, mixed

Question 9

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

Since the statements involve different variables with no connecting links, no definite relationship can be established between B and S or between H and U.

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

Question 10

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

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

Therefore, I only is correct.
transitive, logic

Question 11

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

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

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

Question 12

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

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

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

Question 13

Directions: @ = >, # = <, $ = =, % = >=, ^ = <=, & = != Statement: E $ G G $ P P # U Conclusions: I. E > U II. E < U Which of the following is true?
Decoded statement: E = G G = P P < U

Conclusion I (E > U): Does not follow
Conclusion II (E < U): Does not follow

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

Question 14

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

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 15

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

Conclusion I (X > T): Follows
Conclusion II (X < T): Follows

Therefore, Both I and II is correct.
basic, symbols

Question 16

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

Conclusion I (Z > P): Does not follow
Conclusion II (Z < P): Does not follow

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

Question 17

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

Chain: A < B < C < D < E
W < P does not follow, P < H follows by transitivity

Therefore, II only is correct.
transitive, logic

Question 18

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

Chain: A < B = C > D < E
P < C does not follow, C > G follows (C > D < E not transitive)

Therefore, II only is correct.
transitive, logic

Question 19

Directions: Ξ” = >, βˆ‡ = <, β—Œ = =, β–‘ = >=, β—‹ = <=, β˜† = != Statement: G Ξ” B βˆ‡ U Conclusions: I. G > U II. G ≀ U Which of the following is true?
Decoded statement: G > B < U

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 20

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

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

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