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Chain Inequalities Beginner-Intermediate Worksheet: Focus on common variations practice Chain Inequalities BEGINNER INTERMEDIATE

Level up your Chain Inequalities skills! You're at Worksheet 4 of 10 (33% through this series). This step-up challenge worksheet features 20 beginner-intermediate-level problems with a focus on common variations practice. Topics covered: chain inequalities for competitive exams, how to solve chain inequalities, chain inequalities tricks.

📝 Worksheet 4 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner Intermediate level

What you'll learn in this worksheet:
Your progress through Chain Inequalities
Worksheet 4 of 10 (33% complete)

Question 1

Directions: * = >, + = <, = = =, - = >=, / = <=, ! = != Statement: F / Z Z = Q Q * X Conclusions: I. F ≥ X II. F ≤ X Which of the following is true?
Decoded statement: F <= Z Z = Q Q > X

Conclusion I (F ≥ X): Does not follow
Conclusion II (F ≤ X): Does not follow

Therefore, Neither I nor II is correct.

Question 2

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

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

Therefore, Neither I nor II is correct.

Question 3

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

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

Therefore, Neither I nor II is correct.

Question 4

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

Conclusion I (S ≥ R): Does not follow
Conclusion II (S ≤ R): Does not follow

Therefore, Neither I nor II is correct.

Question 5

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

Conclusion I (D ≥ H): Does not follow
Conclusion II (D ≤ H): Does not follow

Therefore, Neither I nor II is correct.

Question 6

Directions: * = >, + = <, = = =, - = >=, / = <=, ! = != Statement: E * C C = H H - U U = G Conclusions: I. E ≥ G II. E ≤ G Which of the following is true?
Decoded statement: E > C C = H H >= U U = G

Conclusion I (E ≥ G): Does not follow
Conclusion II (E ≤ G): Does not follow

Therefore, Neither I nor II is correct.

Question 7

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

Conclusion I (T = Y): Does not follow
Conclusion II (T ≠ Y): Follows

Therefore, II only is correct.

Question 8

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

Conclusion I (T ≥ V): Does not follow
Conclusion II (T ≤ V): Does not follow

Therefore, Neither I nor II is correct.

Question 9

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

Conclusion I (G = F): Does not follow
Conclusion II (G ≠ F): Follows

Therefore, II only is correct.

Question 10

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

Conclusion I (Y = T): Does not follow
Conclusion II (Y ≠ T): Follows

Therefore, II only is correct.

Question 11

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

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

Therefore, I only is correct.

Question 12

Directions: * = >, + = <, = = =, - = >=, / = <=, ! = != Statement: E - P P * S S = B B - R Conclusions: I. E > R II. E < R Which of the following is true?
Decoded statement: E >= P P > S S = B B >= R

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

Therefore, Neither I nor II is correct.

Question 13

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

Conclusion I (A = Y): Follows
Conclusion II (A ≠ Y): Does not follow

Therefore, I only is correct.

Question 14

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

Conclusion I (T = W): Does not follow
Conclusion II (T ≠ W): Follows

Therefore, II only is correct.

Question 15

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

Conclusion I (H = C): Does not follow
Conclusion II (H ≠ C): Follows

Therefore, II only is correct.

Question 16

Directions: * = >, + = <, = = =, - = >=, / = <=, ! = != Statement: V - R R = X X + H Conclusions: I. V ≥ H II. V ≤ H Which of the following is true?
Decoded statement: V >= R R = X X < H

Conclusion I (V ≥ H): Does not follow
Conclusion II (V ≤ H): Does not follow

Therefore, Neither I nor II is correct.

Question 17

Directions: * = >, + = <, = = =, - = >=, / = <=, ! = != Statement: Y = P P = B B * U U * V Conclusions: I. Y ≥ V II. Y ≤ V Which of the following is true?
Decoded statement: Y = P P = B B > U U > V

Conclusion I (Y ≥ V): Does not follow
Conclusion II (Y ≤ V): Does not follow

Therefore, Neither I nor II is correct.

Question 18

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

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

Therefore, Neither I nor II is correct.

Question 19

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

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

Therefore, Neither I nor II is correct.

Question 20

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

Conclusion I (C = P): Does not follow
Conclusion II (C ≠ P): Follows

Therefore, II only is correct.
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