Question 1

Given: A > B, B ≥ C, C > D, D ≤ E, E < A. Which of the following conclusions is definitely TRUE?

Accepted Answer

From the given inequalities: A > B ≥ C > D ≤ E < A. We can establish: A > B (given), B ≥ C (given), C > D (given). Since A > B and B ≥ C, we have A > C. Since C > D, we have A > D. Since D ≤ E and E < A, we know E < A. However, we cannot definitively compare B and D without more information, nor can we compare C and E. The only definite conclusion is A > C.

Question 2

Given: P ≥ Q, Q > R, R ≥ S, S < T, T ≤ P. Which of the following is DEFINITELY FALSE?

Accepted Answer

From the given: P ≥ Q > R ≥ S < T ≤ P. We can deduce: P ≥ Q > R means P > R (since Q > R and P ≥ Q). Also, R ≥ S and S < T means S < T. Since T ≤ P and P > R, we have P > R. Now, can S = R? Yes, since R ≥ S allows equality. Can T > R? We know T ≤ P and P > R, so T could be anywhere from S+ε to P. Can Q < S? We have Q > R ≥ S, so Q > S. Therefore, Q < S is definitely FALSE.

Question 3

Given: A ≤ B, B < C, C ≥ D, D > E, E ≥ F. Which of the following is DEFINITELY FALSE?

Accepted Answer

From the given: A ≤ B < C ≥ D > E ≥ F. We can establish: A < C (by chaining A ≤ B < C). C ≥ D and D > E means C > E. D > E and E ≥ F means D > F. Now, can A = B? Yes, since A ≤ B allows equality. Can C = D? Yes, since C ≥ D allows equality. Can B > D? We have B < C and C ≥ D, so B < C and C ≥ D doesn't guarantee B > D. In fact, if C = D, then B < D. If C > D, B could still be less than D. So B > D is not necessarily true. Can E < F? We have E ≥ F, which means E > F or E = F. Therefore, E < F is definitely FALSE.

Question 4

Given: X ≥ Y, Y > Z, Z ≤ W, W < X, W ≥ V. Which of the following must be TRUE?

Accepted Answer

From the given: X ≥ Y > Z ≤ W < X and W ≥ V. We can establish: X > Z (by chaining X ≥ Y > Z). Since W < X and W ≥ Z (from Z ≤ W), we have Z ≤ W < X. Also, W ≥ V means V ≤ W. Now, comparing Y and W: Y > Z and Z ≤ W means Y > Z ≤ W, so Y vs W is indeterminate. Comparing X and V: X > W (from W < X) and W ≥ V means X > V. Therefore, X > V must be true.

Question 5

Given: M < N, N ≤ O, O > P, P ≥ Q, Q = R. Which conclusion is INDETERMINATE (cannot be determined)?

Accepted Answer

From the given: M < N ≤ O > P ≥ Q = R. We can establish: M < N (given), N ≤ O (given), O > P (given), P ≥ Q (given), Q = R (given). Definite conclusions: M < O (by chaining M < N ≤ O), O > Q (by chaining O > P ≥ Q), Q = R (given). However, comparing M and P: M < N ≤ O and O > P tells us O > P, but M could be less than, equal to, or greater than P depending on the specific values. For example: M=1, N=2, O=5, P=3, Q=R=2 gives M < P. But M=3, N=4, O=5, P=2, Q=R=1 gives M > P. Therefore, M vs P is indeterminate.

Question 6

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

Which of the following conclusions is DEFINITELY TRUE?

Accepted Answer

This question tests the ability to chain inequalities correctly and identify what must logically follow from a set of constraints.

Question 7

Given:
M < N ≤ O
P > O
Q ≥ M
R < M

Which of the following is DEFINITELY FALSE?

Accepted Answer

This question tests the ability to identify which statement contradicts the given constraints.

Question 8

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

Which of the following conclusions is DEFINITELY TRUE?

Accepted Answer

This question tests the ability to chain inequalities and identify definitive relationships from a set of constraints.

Question 9

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

Which conclusion is INDETERMINATE (cannot be proven true or false)?

Accepted Answer

This question requires identifying which relationship cannot be definitively established from the given constraints.

Question 10

Given the following relationships between six variables A, B, C, D, E, and F:

1. A > B ≥ C
2. C > D
3. E ≤ B
4. F < D
5. E > F

Which of the following conclusions is DEFINITELY TRUE?

Accepted Answer

This question tests the ability to chain inequalities correctly and identify what must logically follow from a set of constraints, while avoiding common errors like assuming transitive relationships that don't exist or confusing direction of inequalities.

Question 11

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

Which of the following is DEFINITELY FALSE?

Accepted Answer

This question tests the ability to identify impossible conclusions by working through the constraint system.

Question 12

Given:
X ≥ Y > Z
W < Z
V = Y
U ≤ W

Which of the following conclusions is DEFINITELY TRUE?

Accepted Answer

This question tests chaining inequalities with equality and identifying the most certain conclusion.

Question 13

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

Which conclusion is INDETERMINATE (cannot be proven true or false)?

Accepted Answer

This question requires identifying which relationship cannot be definitively established from the given constraints.

Question 14

Consider:
A > B ≥ C ≥ D
E ≤ D
F > C
G = B

Which of the following is INDETERMINATE?

Accepted Answer

This question requires identifying a relationship that cannot be proven true or false from the given constraints.

SSC CPO Statement & Assumptions

SSC CPO Statement & Assumptions — Past Exam Questions

Statement & Assumptions— Rules & Concept

Key Points to Remember

Exam-Specific Tips

60-Second Revision — Statement & Assumptions