Coding Inequalities - Advanced Level: coded comparisons ADVANCED

Level up your coding inequalities skills with this challenging mix. 20 advanced-level problems await in Worksheet 24 of 30. Focus area: coded comparisons. Learn code-based comparison, inequality codes, coded relationships through systematic practice. Designed for advanced learners seeking complex scenarios and multi-step problems.

πŸ“ Worksheet 24 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 24 of 30 (80% complete)

Question 1

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

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.

Question 2

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

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

Therefore, Neither I nor II is correct.

Question 3

Directions: * = >, + = <, = = =, - = >=, / = <=, ! = != Statements: R * U, Y = D, B / E Conclusions: I. R > Y II. U < D Which of the following is true?
Decoded statements: R > U, Y = D, B <= E

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

Therefore, Neither I nor II is correct.

Question 4

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

Since the statements involve different variables with no connecting links, no definite relationship can be established between P and H or between F and E.

Therefore, Neither I nor II is correct.

Question 5

Directions: * = >, + = <, = = =, - = >=, / = <=, ! = != Statement: X * D D + S S = U Conclusions: I. X = U II. X β‰  U Which of the following is true?
Decoded statement: X > D D < S S = U

Conclusion I (X = U): Does not follow
Conclusion II (X β‰  U): Follows

Therefore, II only is correct.

Question 6

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

Conclusion I (G < H): Follows
Conclusion II (G > H): Does not follow

Therefore, I only is correct.

Question 7

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

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.

Question 8

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

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

Therefore, Neither I nor II is correct.

Question 9

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

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

Therefore, Neither I nor II is correct.

Question 10

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

Pattern: A β‰₯ B ≀ C = D
A and D relationship depends on actual values

Therefore, Cannot be determined is correct.

Question 11

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

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

Therefore, Neither I nor II is correct.

Question 12

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

Pattern: A β‰₯ B ≀ C = D
A and D relationship depends on actual values

Therefore, Cannot be determined is correct.

Question 13

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

Pattern: A β‰₯ B ≀ C = D
A and D relationship depends on actual values

Therefore, Cannot be determined is correct.

Question 14

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

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

Therefore, Neither I nor II is correct.

Question 15

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

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

Therefore, Neither I nor II is correct.

Question 16

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

Since the statements involve different variables with no connecting links, no definite relationship can be established between Z and B or between A and Q.

Therefore, Neither I nor II is correct.

Question 17

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

Chain: A < B = C > D < E
U < Z does not follow, Z > V follows (C > D < E not transitive)

Therefore, II only is correct.

Question 18

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

Conclusion I (T = F): Does not follow
Conclusion II (T β‰  F): Follows

Therefore, II only is correct.

Question 19

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

Conclusion I (Y > D): Does not follow
Conclusion II (Y < D): Does not follow

Therefore, Neither I nor II is correct.

Question 20

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