Question 1

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

Accepted Answer

From the inequalities: M > N = O < P ≤ Q > R. Let's trace: M > N (certain), N = O (so M > O), O < P (certain), P ≤ Q (so O < P ≤ Q), Q > R (certain). Now check conclusions: (a) M > O is true (M > N = O). (b) P > O is true (O < P). (c) Q > R is true (given). (d) M > P is indeterminate (M > O and O < P doesn't tell us if M > P; P could be very large). The definitely true statements are A, B, and C. We need the one that is definitely true.

Question 2

Read the following statements carefully and answer the question. Statements: 1. A > B ≥ C 2. C > D 3. D ≥ E 4. B < F Which of the following conclusions is definitely TRUE? A) F > A B) E < C C) A > D D) F ≥ E

Accepted Answer

From the given statements, we need to establish the relationship between all variables. From Statement 1: A > B ≥ C From Statement 2: C > D From Statement 3: D ≥ E From Statement 4: B < F Combining all: A > B ≥ C > D ≥ E and B < F This gives us: A > B, B ≥ C, C > D, D ≥ E, and B < F Now checking each option: A) F > A: We know B < F, but we don't know if F > A. B could be much smaller than A, and F could be just slightly larger than B. NOT DEFINITELY TRUE. B) E < C: From the chain A > B ≥ C > D ≥ E, we have C > D and D ≥ E. Therefore C > D ≥ E, which means C > E. So E < C is DEFINITELY TRUE. C) A > D: While A > B ≥ C > D gives us A > D, let's verify. A > B, B ≥ C, C > D means A > D. However, this is not the most direct conclusion from the statements alone without combining them. D) F ≥ E: We know B < F and B ≥ C > D ≥ E. But F's relationship to E is not determinable. F could be just slightly larger than B, while E could be much smaller. NOT DEFINITELY TRUE. The answer is B) E < C.

Question 3

Given: A ≥ B, B > C, C ≤ D, D < E, E ≥ F. Which conclusion is INDETERMINATE?

Accepted Answer

From the inequalities: A ≥ B > C ≤ D < E ≥ F. Let's analyze: A ≥ B > C means A > C (transitive, since B > C and A ≥ B). C ≤ D < E means C < E (transitive). E ≥ F means E ≥ F. Now check conclusions: (a) A > C is true (from A ≥ B > C). (b) C < E is true (from C ≤ D < E). (c) A > D is indeterminate (A > C and C ≤ D doesn't establish A > D; D could be much larger than A). (d) E > F is indeterminate (E ≥ F allows E = F). The indeterminate statements are C and D. We need to pick the best answer.

Question 4

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 need to trace the chain carefully. A > B is certain. B ≥ C means B could equal C or be greater. C > D is certain. D = E is certain. E < F is certain. Therefore, A > D is definitely true because A > B ≥ C > D creates a transitive chain.

Question 5

Consider:
X ≥ Y > Z
A < Z
B = Y
C ≤ X

Which of the following conclusions is DEFINITELY TRUE?

Accepted Answer

This question tests chaining inequalities with equality constraints and identifying definite logical outcomes.

Question 6

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 relationships from given constraints.

Question 7

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

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

Accepted Answer

This question requires identifying which relationship cannot be logically determined from the given constraints.

Question 8

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 which statement contradicts the given logical constraints.

Question 9

Given:
D > E ≥ F > G
H ≤ F
I > D
J < G

Which of the following is INDETERMINATE?

Accepted Answer

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

Question 10

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 definitive conclusions from a set of relational statements involving 6 variables.

Question 11

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

Which of the following conclusions is definitely TRUE?

Accepted Answer

This is a statement and assumptions question requiring chaining of inequalities across multiple variables. Students must carefully track direction of inequalities and identify what can be definitively concluded versus what remains indeterminate.

Question 12

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

Which of the following conclusions is DEFINITELY TRUE?

Accepted Answer

This question tests the ability to chain inequalities correctly and identify what must be true across all valid assignments.

Question 13

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

Which conclusion is DEFINITELY FALSE?

Accepted Answer

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

Question 14

Given:
M > N ≥ O
P ≤ N
Q > O
R < P

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.

Question 15

Given:
J ≤ K < L
M > L
N ≥ K
O < J

Which conclusion is DEFINITELY FALSE?

Accepted Answer

This question requires identifying statements that contradict the given constraints.

Question 16

Consider:
X ≥ Y > Z
A < Z
B ≤ Y
C > X

Which statement is DEFINITELY TRUE?

Accepted Answer

This question requires careful chaining of inequalities with mixed operators to identify what must hold.

IBPS RRB PO Statement & Assumptions

Statement & Assumptions— Rules & Concept

Key Points to Remember

Exam-Specific Tips

Statement & Assumptions — Practice Questions

60-Second Revision — Statement & Assumptions