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Coding Inequalities - Intermediate Level: coded inequalities INTERMEDIATE

Master coding inequalities concepts through this excellence pursuit practice set. Worksheet 16 of 30 contains 20 intermediate-level problems. Deep dive into coded inequalities while learning symbolic inequalities, code-based comparison, inequality codes. Recommended for mid-level learners aiming for moderate complexity with mixed patterns.

πŸ“ Worksheet 16 of 30 β€’ 20 questions β€’ ⏱️ Estimated time: 20 minutes β€’ 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Coding Inequalities
Worksheet 16 of 30 (53% complete)

Question 1

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

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

Therefore, I only is correct.
transitive, logic

Question 2

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

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

Therefore, I only is correct.
chain, sequence

Question 3

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

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

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

Question 4

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

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 5

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

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

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

Question 6

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

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: W Ξ” A βˆ‡ R Conclusions: I. W ≀ R II. W > R Which of the following is true?
Decoded statement: W > A < R

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: Ξ” = >, βˆ‡ = <, β—Œ = =, β–‘ = >=, β—‹ = <=, β˜† = != Statement: H Ξ” P βˆ‡ A Conclusions: I. H < A II. H β‰₯ A Which of the following is true?
Decoded statement: H > P < 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 9

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

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

Therefore, II only is correct.
chain, sequence

Question 10

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

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

Therefore, II only is correct.
transitive, logic

Question 11

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

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 12

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

Conclusion I (U < C): Follows
Conclusion II (U = C): Does not follow

Therefore, I only is correct.
basic, symbols

Question 13

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

Conclusion I (P = D): Does not follow
Conclusion II (P β‰  D): Follows

Therefore, II only is correct.
chain, sequence

Question 14

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

Conclusion I (V β‰₯ T): Does not follow
Conclusion II (V ≀ T): Does not follow

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

Question 15

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

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

Therefore, I only is correct.
chain, sequence

Question 16

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

Conclusion I (C β‰₯ E): Does not follow
Conclusion II (C ≀ E): Does not follow

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

Question 17

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

Conclusion I (E = S): Does not follow
Conclusion II (E > S): Does not follow

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

Question 18

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

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

Therefore, I only is correct.
complex, mixed

Question 19

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

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

Therefore, I only is correct.
complex, mixed

Question 20

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

Conclusion I (S β‰₯ Y): Does not follow
Conclusion II (S ≀ Y): Does not follow

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