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Inequalities - Advanced Level: relational logic ADVANCED

Exam-focused holistic practice ★ worksheet: 20 advanced-level inequalities questions. Worksheet 23 of 30 targets relational logic. Build proficiency in comparative reasoning, mathematical inequalities, symbolic inequalities with detailed solutions. Ideal for advanced competitive exam preparation.

📝 Worksheet 23 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Advanced level

What you'll learn in this worksheet:
Your progress through Inequalities
Worksheet 23 of 30 (76% complete)

Question 1

Arrange the elements B, C, E, D, A based on these clues: - E > D - B > C - E < C - D > A Which element is the largest?
From the clues: B > C > E > D > A. Therefore, B is the largest.
puzzle, arrangement, ordering

Question 2

Directions: & means =, @ means >, # means <, $ means ≥, % means ≤ Statement: P & T @ R % S Which conclusion follows?
Decoding: P = T → = T > R → > R ≤ S. Therefore, No definite conclusion.
coded, symbols, decoding

Question 3

Statements: I. A < C > E II. C ≤ D < F Which conclusion is definitely false?
From the statements, A > F contradicts the established relationships and is definitely false.
reverse, mixed, direction

Question 4

Arrange the elements B, C, E, A, D based on these clues: - E < C - E > A - B > C - A > D Which element is the largest?
From the clues: B > C > E > A > D. Therefore, B is the largest.
puzzle, arrangement, ordering

Question 5

Statements: S > Q ≥ V; U ≤ V < W; W = T; T ≥ P Which of the following is definitely true?
Analyzing the chain: S > Q ≥ V; U ≤ V < W; W = T; T ≥ P. Therefore, S > U is definitely true.
complex, chain, multi-step

Question 6

Statements: G ≥ H = C > A Conclusion: G > A Is the conclusion true?
From G ≥ H = C > A, using transitivity, G > A is definitely true.
basic, comparison, transitive

Question 7

Arrange the elements D, E, A, B, C based on these clues: - B > C - A > B - A < E - D > E Which element is the largest?
From the clues: D > E > A > B > C. Therefore, D is the largest.
puzzle, arrangement, ordering

Question 8

Statements: W > Q; Q > S; Q > U; S = T; U ≥ P Which of the following is definitely true?
Analyzing the chain: W > Q; Q > S; Q > U; S = T; U ≥ P. Therefore, W > U is definitely true.
complex, chain, multi-step

Question 9

Statement: Z ≥ Y ≥ X Conclusions: I. Z > X II. Z = X Which follows?
From Z ≥ Y ≥ X, either Z > X or Z = X. Hence either I or II follows.
either-or, logical, possibility

Question 10

Statements: I. E ≥ B > C II. C < D ≤ A Which conclusion is definitely false?
From the statements, E < A contradicts the established relationships and is definitely false.
reverse, mixed, direction

Question 11

Statements: I. F ≥ D = A II. A > C ≥ E Which conclusions definitely follow?
Combining statements: F ≥ D = A > C ≥ E. Therefore, I, II, and III definitely follow(s).
compound, multiple, chain

Question 12

Statements: I. C < F > B II. F ≤ E < A Which conclusion is definitely false?
From the statements, C > A contradicts the established relationships and is definitely false.
reverse, mixed, direction

Question 13

Arrange the elements A, B, C, D, E based on these clues: - A > B - C < B - C > D - D > E Which element is the largest?
From the clues: A > B > C > D > E. Therefore, A is the largest.
puzzle, arrangement, ordering

Question 14

Statements: I. G ≥ B = A II. A > E ≥ D Which conclusions definitely follow?
Combining statements: G ≥ B = A > E ≥ D. Therefore, I, II, and III definitely follow(s).
compound, multiple, chain

Question 15

Directions: ® means <, £ means =, € means ≤, ™ means ≥, © means > Statement: U © Q € T ™ S Which conclusion follows?
Decoding: U > Q → > Q ≤ T → ≤ T ≥ S. Therefore, No definite conclusion.
coded, symbols, decoding

Question 16

Statements: I. C > D ≥ A II. A = F > G Which conclusions definitely follow?
Combining statements: C > D ≥ A = F > G. Therefore, I, II, and III definitely follow(s).
compound, multiple, chain

Question 17

Statements: F > G > A > B Conclusion: F > B Is the conclusion true?
From F > G > A > B, using transitivity, F > B is definitely true.
basic, comparison, transitive

Question 18

Statements: E ≥ C > D ≥ A Conclusion: E > A Is the conclusion true?
From E ≥ C > D ≥ A, using transitivity, E > A is definitely true.
basic, comparison, transitive

Question 19

Arrange the elements B, C, E, D, A based on these clues: - E > D - E < C - B > C - D > A Which element is the largest?
From the clues: B > C > E > D > A. Therefore, B is the largest.
puzzle, arrangement, ordering

Question 20

Statement: Q = S > O ≥ M > P Which conclusions are definitely true?
From Q = S > O ≥ M > P, we can derive: S > M, O > P. These conclusions definitely follow.
multiple, evaluation, analysis
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