Question 1

Given: X ≥ Y, Y > Z, Z ≤ W, W < V, V = U

Which of the following conclusions is definitely INDETERMINATE (cannot be determined)?

Accepted Answer

From the chain: X ≥ Y > Z ≤ W < V = U. We can derive: X > Z (from X ≥ Y > Z). We can derive: Z ≤ W < V, so Z < V. We can derive: V = U. However, the relationship between Y and W is indeterminate because Z is between them with Y > Z and Z ≤ W, which means Y could be greater than, equal to, or less than W.

Question 2

Given: A > B, B ≥ C, C > D, D = E, E < F

Which of the following conclusions is definitely TRUE?

Accepted Answer

From the given inequalities: A > B ≥ C > D = E < F. We can chain: A > B ≥ C > D. Since D = E, we have A > B ≥ C > E. We cannot determine the relationship between A and F (F could be less than, equal to, or greater than A). However, we can definitively conclude A > C.

Question 3

Given: A < B, B ≤ C, C = D, D > E, E ≥ F

Which of the following conclusions is definitely TRUE?

Accepted Answer

From the chain: A < B ≤ C = D > E ≥ F. We can derive: A < C (from A < B ≤ C). We can derive: A < D (from A < B ≤ C = D). We can derive: D > E ≥ F, so D > F. We can derive: C > E (from C = D > E). All of these are definite. The statement 'A < D' is definitely true.

Question 4

Given: P ≤ Q, Q < R, R ≥ S, S > T, T ≥ U

Which of the following conclusions is definitely FALSE?

Accepted Answer

From the chain: P ≤ Q < R ≥ S > T ≥ U. We know P ≤ Q < R, so P < R (definite). We know S > T ≥ U, so S > U (definite). However, the relationship between Q and S is indeterminate (Q < R and R ≥ S, but this doesn't establish Q vs S). Also, P vs T is indeterminate. The statement 'T < Q' cannot be proven true from the given information, making it potentially false.

Question 5

Given: M > N, N = O, O < P, P ≤ Q, Q > R

Which of the following conclusions is definitely TRUE?

Accepted Answer

From the chain: M > N = O < P ≤ Q > R. We can derive: M > O (since M > N and N = O). We can derive: O < P ≤ Q (chaining O < P and P ≤ Q gives O < Q). We can derive: P ≤ Q and Q > R, so we cannot definitively say P > R (P could equal Q which is > R, or P could be less than Q). However, M > O is definite, and O < Q is definite.

Question 6

Given the following relationships:
A > B ≥ C
D < C ≤ E
E = F
F > G

Which of the following conclusions is definitely TRUE?

Accepted Answer

This question tests the ability to chain inequalities correctly and identify definite relationships.

Question 7

Given:
P ≥ Q > R
S ≤ R < T
T = U
U > V

Which conclusion is DEFINITELY FALSE?

Accepted Answer

This question requires identifying which statement cannot possibly be true given the constraints.

Question 8

Given:
X ≥ Y > Z
Z ≤ W < V
V = U
U ≤ T

Which conclusion is DEFINITELY TRUE?

Accepted Answer

This question requires careful chaining of inequalities with mixed directions to identify a definite conclusion.

Question 9

Study the following statements carefully and determine which conclusion(s) logically follow: Statements: 1. A > B ≥ C 2. C > D 3. E ≤ B 4. D ≥ F Conclusions: I. A > D II. E < A III. F < C IV. E ≥ F Which of the following is correct?

Accepted Answer

This question tests the ability to chain inequalities and determine which conclusions necessarily follow from given statements. Students must track transitive relationships across multiple variables and avoid making assumptions beyond what the statements guarantee.

Question 10

Study the following statements carefully and answer the question. Given: • A > B ≥ C • C > D • E ≤ B • F < D Which of the following conclusions is DEFINITELY TRUE? (A) F < C (B) E > D (C) A ≥ D (D) F ≤ E

Accepted Answer

To solve this, we must trace the chain of inequalities carefully and identify what can be definitively concluded. Given chain: • A > B ≥ C (so A > C) • C > D (so A > B ≥ C > D) • E ≤ B • F < D Now test each conclusion: (A) F < C? We know F < D and C > D. This means F < D and D < C, so F < C. ✓ DEFINITELY TRUE (B) E > D? We know E ≤ B and B ≥ C and C > D. So E ≤ B and B > D, but E could equal B or be less than B. E could be equal to D (if E = B = C = D, which violates C > D). Actually: E ≤ B, B ≥ C, C > D means E ≤ B and B > D, so E could be > D or ≤ D. Example: A=5, B=4, C=3, D=2, E=2, F=1. Here E = D, not E > D. ✗ NOT DEFINITE (C) A ≥ D? We know A > B ≥ C > D, so A > D. ✓ This is true, but let's check (A) first. (D) F ≤ E? We know F < D and E ≤ B. B ≥ C > D, so B > D. But F < D and E ≤ B doesn't guarantee F ≤ E. Example: A=10, B=5, C=4, D=3, E=2, F=1. Here F < E. ✓ But: A=10, B=5, C=4, D=3, E=1, F=2. Here F > E. ✗ NOT DEFINITE Both (A) and (C) appear true. Let me verify (C) more carefully: A > B, B ≥ C, C > D → A > D (by transitivity). ✓ However, the question asks for the conclusion that is DEFINITELY TRUE. Both (A) and (C) are logically sound. Re-reading: (A) is more tightly constrained because it involves F, which has the most restrictive relationship. (C) is also correct but more obvious. Actually, both (A) and (C) are correct. But examining standard SSC CPO patterns, (A) F < C is the harder deduction because it requires chaining F < D < C, whereas (C) is a direct transitive chain. For a HARD question, (A) is the intended answer as it requires recognizing the indirect relationship.

Question 11

Consider the following statements:
P ≥ Q > R
S < R ≤ T
U = Q
V > P

Which conclusion is DEFINITELY FALSE?

Accepted Answer

This question requires identifying which statement cannot possibly be true given the constraints, testing negation and logical impossibility.

Question 12

Given the following inequalities:
A > B ≥ C > D
E ≤ C
F > A

Which of the following conclusions is definitely TRUE?

Accepted Answer

This question tests the ability to chain inequalities and identify what must logically follow from given constraints.

Question 13

Given:
X ≤ Y < Z
W > Z
A ≥ X
B < Y

Which of the following conclusions is INDETERMINATE (cannot be determined as definitely true or false)?

Accepted Answer

This question tests recognition of insufficient information—where a conclusion cannot be proven true or false from the given constraints.

Question 14

Consider:
M > N ≥ O
P ≤ O < Q
R = N
S > Q

Which conclusion is DEFINITELY TRUE?

Accepted Answer

This question tests the ability to chain inequalities with equality constraints and identify what must logically follow.

SSC CPO Statement & Conclusions

SSC CPO Statement & Conclusions — Past Exam Questions

Statement & Conclusions— Rules & Concept

Key Points to Remember

Exam-Specific Tips

60-Second Revision — Statement & Conclusions