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Inequalities - Advanced Level: coded inequalities ADVANCED

Quick competitive exam prep session: 20 advanced-level inequalities questions. Worksheet 27 of 30 - Focus: coded inequalities. Practice inequality solving, comparison puzzles, relational logic with instant feedback. Great for advanced students needing complex scenarios and multi-step problems practice.

📝 Worksheet 27 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Advanced level

What you'll learn in this worksheet:
Your progress through Inequalities
Worksheet 27 of 30 (90% complete)

Question 1

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

Question 2

Statements: I. E = D < G II. G ≤ A = F Which conclusions definitely follow?
Combining statements: E = D < G ≤ A = F. Therefore, Only I definitely follow(s).
compound, multiple, chain

Question 3

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

Question 4

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

Question 5

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

Question 6

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

Question 7

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

Question 8

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

Question 9

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

Question 10

Statement: W ≤ V ≤ X Conclusions: I. W < X II. W = X Which follows?
From W ≤ V ≤ X, either W < X or W = X. Hence either I or II follows.
either-or, logical, possibility

Question 11

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

Question 12

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

Question 13

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

Question 14

Statements: C > H ≥ B > D Conclusion: D > C Is the conclusion true?
From C > H ≥ B > D, D > C contradicts the given inequalities, so it's false.
basic, comparison, transitive

Question 15

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

Question 16

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

Question 17

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

Question 18

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

Question 19

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

Question 20

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