Question 1

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

Accepted Answer

From the given: A ≥ B > C ≤ D < E ≥ F. We need to find what must be FALSE. (1) A > C: A ≥ B > C, so A > C. TRUE. (2) D ≥ E: D < E contradicts D ≥ E. FALSE. (3) C < E: C ≤ D < E, so C < E. TRUE. (4) B ≤ D: B > C and C ≤ D, but B > C doesn't guarantee B ≤ D. B could be > D. INDETERMINATE.

Question 2

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

Accepted Answer

From the given: X < Y ≤ Z > W ≥ V = U. We need to find what must be true. (1) X < Z: X < Y ≤ Z, so X < Z. TRUE. (2) Y > W: Y ≤ Z and Z > W, but Y ≤ Z doesn't guarantee Y > W. Y could be < W. INDETERMINATE. (3) W ≥ U: W ≥ V = U, so W ≥ U. TRUE. (4) X < U: X < Y ≤ Z > W ≥ V = U. We have X < Y and Y ≤ Z, but Z > W and W ≥ V = U. There's no direct link from Y to U. INDETERMINATE.

Question 3

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

Accepted Answer

From the given: M ≥ N > O ≤ P < Q = R. We need to find what cannot be determined. (1) M > O: M ≥ N > O, so M > O. DETERMINATE (TRUE). (2) P < Q: Explicitly given. DETERMINATE (TRUE). (3) M vs P: M ≥ N > O and O ≤ P. We know M > O and O ≤ P, but this doesn't establish M vs P. M could be > P, = P, or < P. INDETERMINATE. (4) N > O: Explicitly given. DETERMINATE (TRUE).

Question 4

Study the following statements and conclusions carefully.

Statements:
1. A > B
2. B ≥ C
3. C > D
4. D = E
5. E < F

Which of the following conclusions is definitely TRUE?

I. A > D
II. F > C
III. B > E

Accepted Answer

To determine which conclusions are definitely true, we must trace the relationships: From statements: A > B ≥ C > D = E < F Conclusion I: A > D - A > B (given) - B ≥ C (given) - C > D (given) - Therefore: A > B ≥ C > D, which means A > D ✓ DEFINITELY TRUE Conclusion II: F > C - E < F (given) - D = E (given) - C > D (given) - So C > D = E, but E < F does not tell us if F > C or F ≤ C - Example: C = 5, D = 3, E = 3, F = 4. Here C > F. ✗ NOT DEFINITELY TRUE Conclusion III: B > E - B ≥ C (given) - C > D (given) - D = E (given) - Therefore: B ≥ C > D = E, which means B > E ✓ DEFINITELY TRUE Both I and III are true. However, checking the options provided, the question asks for conclusions that are definitely true. Options should reflect single or combined conclusions. The correct answer identifies that conclusions I and III are both definitely true.

Question 5

Given:
M < N ≤ O
P ≥ N
Q < M
R > O

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

Accepted Answer

This question tests the ability to distinguish between definite conclusions and indeterminate relationships that lack sufficient information.

Question 6

Analyze the following:
X ≤ Y < Z
W > Z
V ≥ Y
U < X

Which conclusion is DEFINITELY TRUE?

Accepted Answer

This question tests chaining inequalities across multiple variables and identifying the one conclusion that must logically follow.

Question 7

Given the constraints:
A ≥ B > C ≥ D
E < D
F ≤ B
G > A

Which of the following conclusions is DEFINITELY FALSE?

Accepted Answer

This question requires identifying a conclusion that logically contradicts the given inequality chain, testing negation and impossibility recognition.

Question 8

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

Which of the following conclusions is DEFINITELY TRUE?

Accepted Answer

This question tests the ability to chain inequalities and identify definite logical conclusions from a set of constraints.

Question 9

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

Which conclusion is DEFINITELY FALSE?

Accepted Answer

This question requires students to identify which conclusion cannot possibly be true given the constraints, testing negation and logical impossibility.

Question 10

Given:
J ≥ K > L
L ≤ M < N
O = K
P > N

Which of the following conclusions is DEFINITELY FALSE?

Accepted Answer

This question requires students to identify a statement that contradicts the given constraints, testing logical negation and the ability to find impossible relationships.

Question 11

Given:
X ≤ Y < Z
A > Z ≥ B
C = Y
D < B

Which of the following conclusions is DEFINITELY TRUE?

Accepted Answer

This question tests chaining inequalities across multiple branches and identifying the one conclusion that holds under all possible value assignments.

Question 12

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

Which of the following is INDETERMINATE?

Accepted Answer

This question tests the ability to distinguish between definite relationships and those lacking sufficient information, using a 6-variable inequality system.

Question 13

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

Consider the following conclusions:
I. A > D
II. B > G
III. F ≥ D
IV. A ≥ G

Which of the following is correct?

Accepted Answer

This question tests the ability to chain inequalities across multiple statements and identify which conclusions can be definitively proven, which are false, and which are indeterminate.

Question 14

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

Which of the following conclusions is DEFINITELY TRUE?

Accepted Answer

This question tests the ability to chain inequalities and identify definite relationships while avoiding assumptions about unmeasured relationships.

IBPS RRB PO Statement & Conclusions

Statement & Conclusions— Rules & Concept

Key Points to Remember

Exam-Specific Tips

Statement & Conclusions — Practice Questions

60-Second Revision — Statement & Conclusions