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Chain Inequalities - Intermediate Level: tricky scenarios handling Chain Inequalities INTERMEDIATE

This expert challenge 📈 worksheet focuses on Chain Inequalities - 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 chain inequalities, chain inequalities tricks, and chain inequalities 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 Chain Inequalities
Worksheet 5 of 10 (44% complete)

Question 1

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

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

Therefore, Neither I nor II is correct.

Question 2

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

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

Therefore, Neither I nor II is correct.

Question 3

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

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

Therefore, Neither I nor II is correct.

Question 4

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

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

Therefore, Neither I nor II is correct.

Question 5

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

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

Therefore, Neither I nor II is correct.

Question 6

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

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

Therefore, Neither I nor II is correct.

Question 7

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

Conclusion I (B = R): Does not follow
Conclusion II (B ≠ R): Follows

Therefore, II only is correct.

Question 8

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

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

Therefore, Neither I nor II is correct.

Question 9

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

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

Therefore, Neither I nor II is correct.

Question 10

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

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

Therefore, Neither I nor II is correct.

Question 11

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

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

Therefore, Neither I nor II is correct.

Question 12

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

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

Therefore, Neither I nor II is correct.

Question 13

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

Conclusion I (E = B): Does not follow
Conclusion II (E ≠ B): Follows

Therefore, II only is correct.

Question 14

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

Conclusion I (B > W): Does not follow
Conclusion II (B < W): Does not follow

Therefore, Neither I nor II is correct.

Question 15

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

Conclusion I (W > A): Does not follow
Conclusion II (W < A): Does not follow

Therefore, Neither I nor II is correct.

Question 16

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

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

Therefore, Neither I nor II is correct.

Question 17

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

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

Therefore, Neither I nor II is correct.

Question 18

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

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

Therefore, II only is correct.

Question 19

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

Conclusion I (F ≥ A): Follows
Conclusion II (F ≤ A): Follows

Therefore, Both I and II is correct.

Question 20

Directions: @ = >, # = <, $ = =, % = >=, ^ = <=, & = != Statement: W @ S S $ B B ^ Q Q @ V Conclusions: I. W ≥ V II. W ≤ V Which of the following is true?
Decoded statement: W > S S = B B <= Q Q > V

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

Therefore, Neither I nor II is correct.
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