Question 1

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

Accepted Answer

From the inequalities: P ≤ Q < R ≥ S > T ≤ U. Let's check each potential conclusion: (1) P < R: Since P ≤ Q and Q < R, by transitivity P < R is TRUE. (2) S > T is given as TRUE. (3) R ≥ T: R ≥ S and S > T, so R > T, making R ≥ T TRUE. (4) P > T: We have P ≤ Q < R ≥ S > T. This means P could equal Q, Q is less than R, R is at least S, and S is greater than T. But P ≤ Q < R and R ≥ S > T doesn't guarantee P > T. In fact, P could be less than T. So 'P > T' is not necessarily true and could be FALSE.

Question 2

Given: M ≥ N > O, O ≤ P, P < Q, Q ≤ R. Which of the following is INDETERMINATE (cannot be concluded)?

Accepted Answer

From the inequalities: M ≥ N > O ≤ P < Q ≤ R. Let's analyze: (1) M > O: M ≥ N and N > O gives M > O (TRUE). (2) P < R: P < Q and Q ≤ R gives P < R (TRUE). (3) N > P: N > O and O ≤ P means N could be greater than, equal to, or less than P. This is INDETERMINATE. (4) M ≥ O: M ≥ N > O gives M > O, so M ≥ O is TRUE.

Question 3

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

Accepted Answer

From the inequalities: X < Y ≤ Z, Z > W ≥ V > U. Let's trace: (1) X < Z: X < Y and Y ≤ Z gives X < Z (TRUE). (2) Z > U: Z > W ≥ V > U gives Z > U (TRUE). (3) Y > W: Y ≤ Z and Z > W doesn't guarantee Y > W. Y could be less than, equal to, or greater than W. (4) X < U: X < Y ≤ Z > W ≥ V > U. This doesn't establish a definite relationship between X and U.

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 is certain. C > D is certain. D = E is certain. E < F is certain. Therefore A > D is definitely true (A > B ≥ C > D). However, we cannot determine the relationship between A and F (A could be less than, equal to, or greater than F).

Question 5

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 multiple constraints. Students must track transitive relationships and avoid making assumptions beyond what is stated.

Question 6

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

Which conclusion is DEFINITELY FALSE?

Accepted Answer

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

Question 7

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 correctly and identify what must logically follow from given constraints.

Question 8

Given:
M > N ≥ O
P ≤ N
Q > M
R < O

Which of the following is INDETERMINATE (cannot be concluded)?

Accepted Answer

This question tests the ability to distinguish between relationships that can be definitively concluded versus those that lack sufficient information.

Question 9

Analyze the following:
X ≥ Y > Z
A < Z
B ≤ Y
C > X

Which statement is DEFINITELY TRUE?

Accepted Answer

This question tests the ability to correctly apply transitive properties and identify the strongest definite conclusion from multiple inequality chains.

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 assumptions about relationships not explicitly stated or derivable.

Question 11

Consider the following:
P ≥ Q > R
S ≤ R < T
U = Q
V > P
Which conclusion is INDETERMINATE (cannot be determined as definitely true or false)?

Accepted Answer

This question requires students to distinguish between definitive conclusions and indeterminate relationships in a complex multi-variable inequality system.

Question 12

Given:
M < N ≤ O
P > O ≥ Q
R = N
S < Q
Which of the following is DEFINITELY FALSE?

Accepted Answer

This question tests the ability to identify impossible conclusions by systematically checking each option against the constraint system.

Question 13

Given the following:
J ≤ K < L
M > L ≥ N
O = K
P < N
Q ≥ J
Which of the following is DEFINITELY TRUE?

Accepted Answer

This question tests the ability to identify definitive conclusions by chaining inequalities and substituting equalities in a complex multi-variable system.

Question 14

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 while ignoring irrelevant information.

SBI Clerk Statement & Assumptions

Statement & Assumptions— Rules & Concept

Key Points to Remember

Exam-Specific Tips

Statement & Assumptions — Practice Questions

60-Second Revision — Statement & Assumptions