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Inequalities - Intermediate-Advanced Level: comparison puzzles INTERMEDIATE-ADVANCED

Ready to master inequalities? This time-bound test features 20 intermediate-advanced-level challenges. Worksheet 22 of 30 sharpens your comparison puzzles skills. Master inequality logic, comparative reasoning, mathematical inequalities through guided practice. Perfect for advanced developing test preparation.

📝 Worksheet 22 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate-advanced level

What you'll learn in this worksheet:
Your progress through Inequalities
Worksheet 22 of 30 (73% complete)

Question 1

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

Question 2

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

Question 3

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

Question 4

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

Question 5

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

Question 6

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

Question 7

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

Question 8

Directions: ~ means =, ! means >, ? means <, * means ≥, ^ means ≤ Statement: R * T ^ S Which conclusion follows?
Decoding: R ≥ T → ≥ T ≤ S. Therefore, No definite conclusion.
coded, symbols, decoding

Question 9

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

Question 10

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

Question 11

Directions: * means ≥, ^ means ≤, ? means <, ! means >, ~ means = Statement: Q ~ R * P ^ T Which conclusion follows?
Decoding: Q = R → = R ≥ P → ≥ P ≤ T. Therefore, No definite conclusion.
coded, symbols, decoding

Question 12

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

Question 13

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

Question 14

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

Question 15

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

Question 16

Statement: W > Z > X Conclusions: I. W > X II. W < X Which follows?
From W > Z > X, W > X is definitely true. II does not follow.
either-or, logical, possibility

Question 17

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

Question 18

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

Question 19

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

Question 20

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