Question 1

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

Accepted Answer

From the chain: A ≤ B < C ≥ D > E ≤ F. Let's check each option. A < C? A ≤ B < C means A < C (true). D > E is given (true). C > E? C ≥ D > E means C > E (true). F > D? F ≥ E and E < D, so F could be less than, equal to, or greater than D (indeterminate, not definitely false). E > C? E ≤ F and F is unknown relative to C. But E < D ≤ C, so E < C, making E > C definitely FALSE.

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 need to find what must be true. A > B is given. B ≥ C is given. C > D is given. D = E is given. Therefore, A > B ≥ C > D = E. This means A > C is definitely true. We cannot determine the relationship between A and F because F > E = D, but we don't know how F compares to A.

Question 3

Given: P ≤ Q, Q < R, R ≥ S, S > T, T ≥ U. Which conclusion is DEFINITELY FALSE?

Accepted Answer

From the chain: P ≤ Q < R ≥ S > T ≥ U. Let's check each option. P ≤ Q is given (true). Q < R is given (true). R ≥ S is given (true). S > T is given (true). T ≥ U is given (true). Now check: P < R? P ≤ Q < R means P < R (true). S ≥ U? S > T ≥ U means S > U, so S ≥ U is true. Q ≥ S? Q < R and R ≥ S, but this doesn't tell us Q vs S directly. Q could be less than, equal to, or greater than S. U > R? U ≤ T < S ≤ R, so U < R, making U > R definitely FALSE.

Question 4

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

Accepted Answer

From the given: X < Y ≤ Z > W ≥ V and V < X. Let's trace: V < X < Y ≤ Z and Z > W ≥ V. So we have V < X and W ≥ V, which means W ≥ V < X, so W and X are not directly comparable. But Z > W and X < Y ≤ Z, so Z > W and Z ≥ Y > X. Also, V < X < Y ≤ Z and Z > W ≥ V. The key insight: V < X < Y ≤ Z and W ≥ V but Z > W. So Z > W ≥ V < X < Y ≤ Z. This means Z > V is definitely true. Also, Y > V is definitely true (Y > X > V). Z > X is definitely true (Z ≥ Y > X).

Question 5

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 conclusions from a set of relational statements.

Question 6

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

Which conclusion can be determined as definitely TRUE?

Accepted Answer

This question tests the ability to trace inequality chains and identify conclusions that must logically follow from multiple constraints.

Question 7

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

Which of the following is definitely TRUE?

Accepted Answer

This question tests the ability to integrate multiple inequality chains and identify conclusions that hold across all possible value assignments.

Question 8

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 given constraints.

Question 9

Given the following constraints:
L ≤ M < N
O > N
P = M
Q < L

Which conclusion is DEFINITELY FALSE?

Accepted Answer

This question requires identifying a statement that CANNOT be true given the constraints, testing constraint violation and logical negation.

Question 10

Consider:
X ≥ Y > Z
A < Z
B = Y
C ≤ A

Which statement is DEFINITELY TRUE?

Accepted Answer

This question tests chaining inequalities in both directions and identifying the only statement that must hold across all valid assignments.

Question 11

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

Which conclusion is DEFINITELY FALSE?

Accepted Answer

This question requires students to identify which relationship CANNOT be true given the constraints, testing negation and constraint violation.

Question 12

Given:
M < N ≤ O
P > O
Q = N
R ≥ M

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, indeterminate, and false conclusions in a complex inequality system.

Question 13

Read the given statements and assumptions carefully. Determine which conclusion logically follows from the given statements.

Statements:
1. A > B ≥ C
2. C > D
3. E ≤ B
4. D ≥ F

Which of the following conclusions is DEFINITELY TRUE?

Accepted Answer

Let us analyze the given inequalities step by step: From Statement 1: A > B ≥ C - This means A > B and B ≥ C From Statement 2: C > D - This means C is strictly greater than D From Statement 3: E ≤ B - This means E is less than or equal to B From Statement 4: D ≥ F - This means D is greater than or equal to F Now let's trace the chain: A > B ≥ C > D ≥ F Conclusion Analysis: Option A (A > D): From the chain A > B ≥ C > D, we can definitively conclude A > D. TRUE Option B (E > F): We know E ≤ B and B ≥ C and C > D ≥ F. However, E could equal B, or E could be much smaller than B. Similarly, F could equal D or be smaller. We cannot determine a definite relationship between E and F. For example: If A=5, B=4, C=3, D=2, E=4, F=2, then E > F. But if A=5, B=4, C=3, D=2, E=1, F=2, then E < F. INDETERMINATE Option C (B < C): We have B ≥ C from Statement 1, so B is either equal to or greater than C. This contradicts B < C. FALSE Option D (C ≤ F): We have C > D ≥ F, which means C > F (C is strictly greater than F). So C ≤ F is false. FALSE Therefore, only Option A (A > D) is definitely true.

RRB NTPC Statement & Assumptions

RRB NTPC Statement & Assumptions — Past Exam Questions

Statement & Assumptions— Rules & Concept

Key Points to Remember

Exam-Specific Tips

Statement & Assumptions — Practice Questions

60-Second Revision — Statement & Assumptions