PlacementPrepStatement: B ≥ L > E = A = G
Conclusions: I. E = G II. G > E
Solution
Statement: B ≥ L > E = A = G.
E = G: true — it follows from the chain.
G > E: not definitely true.
Answer: (A) Only I is true
Logical Reasoning · Logic
Inequalities: placement practice questions
30 moderate questions in the pattern of campus placement tests. Pick an option to check your answer, then open the step-by-step solution.
Statement: E > A > H = K < G
Conclusions: I. K < H II. G ≥ E
Solution
Statement: E > A > H = K < G.
K < H: not definitely true.
G ≥ E: not definitely true.
Answer: (D) Neither I nor II is true
Statement: D = H ≥ P < C = K
Conclusions: I. H < D II. C < P
Solution
Statement: D = H ≥ P < C = K.
H < D: not definitely true.
C < P: not definitely true.
Answer: (D) Neither I nor II is true
Statement: P = B = G < D < A
Conclusions: I. G > D II. G ≥ B
Solution
Statement: P = B = G < D < A.
G > D: not definitely true.
G ≥ B: true — it follows from the chain.
Answer: (B) Only II is true
Statement: C > M = K = F < A
Conclusions: I. C > F II. C = F
Solution
Statement: C > M = K = F < A.
C > F: true — it follows from the chain.
C = F: not definitely true.
Answer: (A) Only I is true
Statement: K = B = G < E = M
Conclusions: I. M > E II. M = E
Solution
Statement: K = B = G < E = M.
M > E: not definitely true.
M = E: true — it follows from the chain.
Answer: (B) Only II is true
Statement: K = E > B ≤ C < H
Conclusions: I. H > K II. H = K
Solution
Statement: K = E > B ≤ C < H.
H > K: not definitely true.
H = K: not definitely true.
Answer: (D) Neither I nor II is true
Statement: C ≥ E > G ≤ K ≤ P
Conclusions: I. G > E II. G = E
Solution
Statement: C ≥ E > G ≤ K ≤ P.
G > E: not definitely true.
G = E: not definitely true.
Answer: (D) Neither I nor II is true
Statement: P ≥ E > D < M = C
Conclusions: I. E > D II. E = D
Solution
Statement: P ≥ E > D < M = C.
E > D: true — it follows from the chain.
E = D: not definitely true.
Answer: (A) Only I is true
Statement: M = G > K ≤ E = C
Conclusions: I. C < M II. M > C
Solution
Statement: M = G > K ≤ E = C.
C < M: not definitely true.
M > C: not definitely true.
Answer: (D) Neither I nor II is true
Statement: D = K ≥ L = M = H
Conclusions: I. D < L II. K ≥ L
Solution
Statement: D = K ≥ L = M = H.
D < L: not definitely true.
K ≥ L: true — it follows from the chain.
Answer: (B) Only II is true
Statement: L > G = H ≤ K < A
Conclusions: I. H > K II. H = K
Solution
Statement: L > G = H ≤ K < A.
H > K: not definitely true.
H = K: not definitely true.
Answer: (D) Neither I nor II is true
Statement: L > K = M ≤ C < E
Conclusions: I. L ≤ K II. M ≥ L
Solution
Statement: L > K = M ≤ C < E.
L ≤ K: not definitely true.
M ≥ L: not definitely true.
Answer: (D) Neither I nor II is true
Statement: H = C > P = D ≤ B
Conclusions: I. H > C II. B = D
Solution
Statement: H = C > P = D ≤ B.
H > C: not definitely true.
B = D: not definitely true.
Answer: (D) Neither I nor II is true
Statement: E > P = F = M < G
Conclusions: I. G > P II. G = P
Solution
Statement: E > P = F = M < G.
G > P: true — it follows from the chain.
G = P: not definitely true.
Answer: (A) Only I is true
Statement: L ≥ M > K < A ≤ G
Conclusions: I. K ≤ L II. M < G
Solution
Statement: L ≥ M > K < A ≤ G.
K ≤ L: true — it follows from the chain.
M < G: not definitely true.
Answer: (A) Only I is true
Statement: L = A ≥ P ≤ E = H
Conclusions: I. H > P II. H = P
Solution
Statement: L = A ≥ P ≤ E = H.
H > P: not definitely true.
H = P: not definitely true.
Together the chain gives H ≥ P, so one of the two must hold: either I or II.
Answer: (C) Either I or II is true
Statement: E ≥ K = L < M < B
Conclusions: I. L ≥ K II. B > K
Solution
Statement: E ≥ K = L < M < B.
L ≥ K: true — it follows from the chain.
B > K: true — it follows from the chain.
Answer: (C) Both I and II are true
Statement: C = L = F < A ≤ B
Conclusions: I. F > C II. F = C
Solution
Statement: C = L = F < A ≤ B.
F > C: not definitely true.
F = C: true — it follows from the chain.
Answer: (B) Only II is true
Statement: G > B = K = D = H
Conclusions: I. D < G II. G < H
Solution
Statement: G > B = K = D = H.
D < G: true — it follows from the chain.
G < H: not definitely true.
Answer: (A) Only I is true
Statement: D > H = A = F ≤ K
Conclusions: I. H > F II. H = F
Solution
Statement: D > H = A = F ≤ K.
H > F: not definitely true.
H = F: true — it follows from the chain.
Answer: (B) Only II is true
Statement: E = P = D = A = K
Conclusions: I. A > D II. A = D
Solution
Statement: E = P = D = A = K.
A > D: not definitely true.
A = D: true — it follows from the chain.
Answer: (B) Only II is true
Statement: K = L > G < E = B
Conclusions: I. B ≥ G II. G ≤ K
Solution
Statement: K = L > G < E = B.
B ≥ G: true — it follows from the chain.
G ≤ K: true — it follows from the chain.
Answer: (C) Both I and II are true
Statement: M ≥ L > B = D = P
Conclusions: I. L > P II. B ≤ L
Solution
Statement: M ≥ L > B = D = P.
L > P: true — it follows from the chain.
B ≤ L: true — it follows from the chain.
Answer: (C) Both I and II are true
Statement: B > D > G < M = L
Conclusions: I. L ≥ G II. M > G
Solution
Statement: B > D > G < M = L.
L ≥ G: true — it follows from the chain.
M > G: true — it follows from the chain.
Answer: (C) Both I and II are true
Statement: A > F ≥ M ≤ L ≤ D
Conclusions: I. D ≥ L II. L ≤ F
Solution
Statement: A > F ≥ M ≤ L ≤ D.
D ≥ L: true — it follows from the chain.
L ≤ F: not definitely true.
Answer: (A) Only I is true
Statement: D ≥ G = K = M = F
Conclusions: I. K ≤ G II. F = G
Solution
Statement: D ≥ G = K = M = F.
K ≤ G: true — it follows from the chain.
F = G: true — it follows from the chain.
Answer: (C) Both I and II are true
Statement: H = M > A < K < D
Conclusions: I. D < A II. H = M
Solution
Statement: H = M > A < K < D.
D < A: not definitely true.
H = M: true — it follows from the chain.
Answer: (B) Only II is true
Statement: D > C > A = B = L
Conclusions: I. C < B II. A ≤ D
Solution
Statement: D > C > A = B = L.
C < B: not definitely true.
A ≤ D: true — it follows from the chain.
Answer: (B) Only II is true
Statement: F ≥ K > D = G ≤ E
Conclusions: I. K > D II. K = D
Solution
Statement: F ≥ K > D = G ≤ E.
K > D: true — it follows from the chain.
K = D: not definitely true.
Answer: (A) Only I is true
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