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Transitive Relations - Intermediate Level: tricky scenarios handling Transitive Relations INTERMEDIATE

This expert challenge 📈 worksheet focuses on Transitive Relations - a key topic in Coding Inequalities. You'll solve 20 intermediate-level problems (Worksheet 5 of 10). The primary focus is on tricky scenarios handling. Master how to solve transitive relations, transitive relations tricks, and transitive relations shortcut methods through systematic practice.

📝 Worksheet 5 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Transitive Relations
Worksheet 5 of 10 (44% complete)

Question 1

Directions: → = >, ← = <, ↔ = =, ⇒ = >=, ⇐ = <=, ⇔ = != Statement: Q ← S ← D ← W ← V Conclusions: I. Q < D II. D > V Which of the following is true?
Decoded statement: Q < S < D < W < V

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

Therefore, II only is correct.

Question 2

Directions: → = >, ← = <, ↔ = =, ⇒ = >=, ⇐ = <=, ⇔ = != Statement: C ← Z ← T ← U ← R Conclusions: I. C < T II. T > R Which of the following is true?
Decoded statement: C < Z < T < U < R

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

Therefore, II only is correct.

Question 3

Directions: → = >, ← = <, ↔ = =, ⇒ = >=, ⇐ = <=, ⇔ = != Statement: C → S ↔ Q ← E → W Conclusions: I. C > Q II. Q < W Which of the following is true?
Decoded statement: C > S = Q < E > W

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

Therefore, I only is correct.

Question 4

Directions: → = >, ← = <, ↔ = =, ⇒ = >=, ⇐ = <=, ⇔ = != Statement: V ← S ↔ D → Z ← F Conclusions: I. V < D II. D > F Which of the following is true?
Decoded statement: V < S = D > Z < F

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

Therefore, II only is correct.

Question 5

Directions: → = >, ← = <, ↔ = =, ⇒ = >=, ⇐ = <=, ⇔ = != Statement: A ← D ← Z → H ↔ U Conclusions: I. A > Z II. Z < U Which of the following is true?
Decoded statement: A < D < Z > H = U

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

Therefore, Neither I nor II is correct.

Question 6

Directions: → = >, ← = <, ↔ = =, ⇒ = >=, ⇐ = <=, ⇔ = != Statement: C → V → A ← R ↔ W Conclusions: I. C > A II. A < W Which of the following is true?
Decoded statement: C > V > A < R = W

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

Therefore, Neither I nor II is correct.

Question 7

Directions: → = >, ← = <, ↔ = =, ⇒ = >=, ⇐ = <=, ⇔ = != Statement: U ← H ← R → S ↔ E Conclusions: I. U > R II. R < E Which of the following is true?
Decoded statement: U < H < R > S = E

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

Therefore, Neither I nor II is correct.

Question 8

Directions: → = >, ← = <, ↔ = =, ⇒ = >=, ⇐ = <=, ⇔ = != Statement: P → Y → S ← V ↔ Q Conclusions: I. P > S II. S < Q Which of the following is true?
Decoded statement: P > Y > S < V = Q

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

Therefore, Neither I nor II is correct.

Question 9

Directions: → = >, ← = <, ↔ = =, ⇒ = >=, ⇐ = <=, ⇔ = != Statement: E → P → T → W → X Conclusions: I. E > T II. T < X Which of the following is true?
Decoded statement: E > P > T > W > X

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

Therefore, I only is correct.

Question 10

Directions: → = >, ← = <, ↔ = =, ⇒ = >=, ⇐ = <=, ⇔ = != Statement: V → P → C → F → X Conclusions: I. V > C II. C < X Which of the following is true?
Decoded statement: V > P > C > F > X

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

Therefore, I only is correct.

Question 11

Directions: → = >, ← = <, ↔ = =, ⇒ = >=, ⇐ = <=, ⇔ = != Statement: D ← V ↔ F → Y ← R Conclusions: I. D < F II. F > R Which of the following is true?
Decoded statement: D < V = F > Y < R

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

Therefore, II only is correct.

Question 12

Directions: → = >, ← = <, ↔ = =, ⇒ = >=, ⇐ = <=, ⇔ = != Statement: H ← Y ← U ← E ← R Conclusions: I. H < U II. U > R Which of the following is true?
Decoded statement: H < Y < U < E < R

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

Therefore, II only is correct.

Question 13

Directions: → = >, ← = <, ↔ = =, ⇒ = >=, ⇐ = <=, ⇔ = != Statement: C → F → D ← T ↔ Y Conclusions: I. C > D II. D < Y Which of the following is true?
Decoded statement: C > F > D < T = Y

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

Therefore, Neither I nor II is correct.

Question 14

Directions: → = >, ← = <, ↔ = =, ⇒ = >=, ⇐ = <=, ⇔ = != Statement: U → F → G ← V ↔ X Conclusions: I. U > G II. G < X Which of the following is true?
Decoded statement: U > F > G < V = X

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

Therefore, Neither I nor II is correct.

Question 15

Directions: → = >, ← = <, ↔ = =, ⇒ = >=, ⇐ = <=, ⇔ = != Statement: A → B → F → C → P Conclusions: I. A > F II. F < P Which of the following is true?
Decoded statement: A > B > F > C > P

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

Therefore, I only is correct.

Question 16

Directions: → = >, ← = <, ↔ = =, ⇒ = >=, ⇐ = <=, ⇔ = != Statement: P ← C ← V → Y ↔ W Conclusions: I. P > V II. V < W Which of the following is true?
Decoded statement: P < C < V > Y = W

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

Therefore, Neither I nor II is correct.

Question 17

Directions: → = >, ← = <, ↔ = =, ⇒ = >=, ⇐ = <=, ⇔ = != Statement: G → S → A → X → T Conclusions: I. G > A II. A < T Which of the following is true?
Decoded statement: G > S > A > X > T

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

Therefore, I only is correct.

Question 18

Directions: → = >, ← = <, ↔ = =, ⇒ = >=, ⇐ = <=, ⇔ = != Statement: Z → G ↔ B ← Q → H Conclusions: I. Z > B II. B < H Which of the following is true?
Decoded statement: Z > G = B < Q > H

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

Therefore, I only is correct.

Question 19

Directions: → = >, ← = <, ↔ = =, ⇒ = >=, ⇐ = <=, ⇔ = != Statement: E → C → B → X → Z Conclusions: I. E > B II. B < Z Which of the following is true?
Decoded statement: E > C > B > X > Z

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

Therefore, I only is correct.

Question 20

Directions: → = >, ← = <, ↔ = =, ⇒ = >=, ⇐ = <=, ⇔ = != Statement: S ← F ↔ D → B ← G Conclusions: I. S < D II. D > G Which of the following is true?
Decoded statement: S < F = D > B < G

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

Therefore, II only is correct.
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