Question 1

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 establish a chain: A > B ≥ C > D. Since D ≤ E and E < F, we know D < F. Combining the chains: A > C is definitely true because A > B and B ≥ C means A > C. Also, C > D is given. However, the relationship between A and F cannot be determined (A could be greater than, less than, or equal to F). The only definite conclusion is A > C.

Question 2

Given: M < N, N ≤ O, O > P, P ≥ Q, Q = R. Which of the following is INDETERMINATE?

Accepted Answer

From the inequalities: M < N ≤ O > P ≥ Q = R. We can deduce: M < N ≤ O (so M < O is certain). O > P ≥ Q = R (so O > R is certain). However, the relationship between N and P is unclear: N ≤ O and O > P means N could be > P, < P, or = P. Similarly, M vs. P is indeterminate. M vs. Q is indeterminate. Let's check each option: (a) M < O — TRUE (from M < N ≤ O). (b) O > R — TRUE (from O > P ≥ Q = R). (c) N > P — INDETERMINATE (N ≤ O and O > P doesn't tell us N vs. P). (d) Q = R — TRUE (given).

Question 3

Given: X ≤ Y, Y < Z, Z ≥ W, W > V, V ≤ U. Which conclusion is DEFINITELY TRUE?

Accepted Answer

From the inequalities: X ≤ Y < Z ≥ W > V ≤ U. We can deduce: X ≤ Y < Z (so X < Z is certain). W > V and V ≤ U means W > V ≤ U (W is greater than V, but V's relationship to U is unclear). Z ≥ W > V means Z > V is certain. Let's verify each option: (a) X < Z — TRUE (from X ≤ Y < Z). (b) W > U — INDETERMINATE (W > V and V ≤ U doesn't determine W vs. U). (c) Y ≥ W — INDETERMINATE (Y < Z and Z ≥ W means Y could be < W or ≥ W). (d) V < Z — TRUE (from Z ≥ W > V means Z > V).

Question 4

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

Accepted Answer

From the inequalities: A ≥ B > C ≤ D < E ≥ F. We can deduce: A ≥ B > C means A > C is certain. C ≤ D < E means C < E is certain. D < E ≥ F means D < E and E ≥ F, so D vs. F is indeterminate. Let's check each option: (a) A > C — TRUE (from A ≥ B > C). (b) C < E — TRUE (from C ≤ D < E). (c) F > E — FALSE (because E ≥ F means E is at least as large as F, so F > E is impossible). (d) B > C — TRUE (given).

Question 5

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 what must logically follow from given constraints.

Question 6

Given:
M > N ≥ O
P < O
Q = N
R ≥ M

Which of the following is DEFINITELY FALSE?

Accepted Answer

This question tests the ability to identify conclusions that contradict the given constraints—a key critical reasoning skill.

Question 7

Consider:
X ≥ Y > Z
W < Z
V = Y
U > X

Which of the following conclusions is DEFINITELY TRUE?

Accepted Answer

This question tests the ability to chain inequalities correctly and identify conclusions that must logically follow.

Question 8

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

Which of the following conclusions is DEFINITELY FALSE?

Accepted Answer

This question tests the ability to identify impossible conclusions by carefully analyzing all constraint chains.

Question 9

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 definite conclusions from a set of given relationships.

Question 10

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

Which conclusion is DEFINITELY FALSE?

Accepted Answer

This question requires identifying which statement cannot possibly be true given the constraints, testing negation logic and inequality reversal.

Question 11

Given the following relationships:
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 correctly and identify what must logically follow from given constraints.

Question 12

Given the constraints:
X ≤ Y < Z
W > Z
V ≤ X
U > Y

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

Accepted Answer

This question tests the ability to distinguish between definite conclusions and indeterminate relationships, a critical skill in logical reasoning.

Question 13

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

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. Students must track direction of inequalities, handle equality carefully, and avoid making assumptions about relationships not explicitly stated.

IBPS Clerk Statement & Assumptions

Statement & Assumptions— Rules & Concept

Key Points to Remember

Exam-Specific Tips

Statement & Assumptions — Practice Questions

60-Second Revision — Statement & Assumptions