Question 1

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

Accepted Answer

From P ≥ Q > R ≤ S < T ≥ U, we know: P > R (definite), Q > R (definite), S < T (definite), but relationships between P and T, Q and S, or R and U are indeterminate. The statement 'R > S' contradicts R ≤ S, making it definitely false.

Question 2

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

Accepted Answer

From A ≤ B < C ≥ D > E = F: We know B < C (definite), D > E (definite), E = F (definite), A < C (transitive), and D > F (transitive). The statement 'E > F' contradicts E = F, making it definitely false.

Question 3

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

Accepted Answer

From M < N ≤ O > P ≥ Q < R: We know M < O (transitive), P < O (transitive), Q < R (given), but the relationship between M and P, M and Q, N and P, N and Q, O and R, and many others cannot be determined from the given constraints.

Question 4

Given: J > K, K ≥ L, L < M, M ≤ N, N > O. Which conclusion CANNOT be determined?

Accepted Answer

From J > K ≥ L < M ≤ N > O: We know J > L (transitive), M > L (transitive), N > O (given), but the relationship between J and M, J and N, K and M, K and N, L and O, and many others cannot be determined because the chain breaks at L < M, creating two semi-independent segments.

Question 5

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

Accepted Answer

From X ≥ Y > Z ≥ W < V ≤ X: We can establish X > Z (transitive), Y > W (transitive), X > W (transitive), and V ≤ X. The relationship between V and Y, V and Z, or V and W cannot be definitively determined because V < W is not guaranteed (W < V but Z ≥ W creates ambiguity).

Question 6

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 deduce A > C (transitive), A > D (transitive), B > D (transitive), and D = E. However, we cannot determine the relationship between A and F, or between C and F, because F's position relative to the chain is only constrained by E < F, and E is the smallest in the A-B-C-D-E chain.

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 deduced from the given constraints—a critical skill in assumption-based reasoning.

Question 8

Consider:
P > Q ≥ R
R > S
T ≤ Q
U < S

Which conclusion is INDETERMINATE?

Accepted Answer

This question tests the ability to identify relationships that cannot be determined from the given constraints—a key skill in critical reasoning.

Question 9

Consider:
X ≥ Y > Z
Z ≥ W
V < Y
U ≤ Z

Which conclusion is DEFINITELY TRUE?

Accepted Answer

This question tests chaining inequalities with mixed operators (≥, >, ≤, <) to identify what must logically follow.

Question 10

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

Which of the following conclusions is DEFINITELY TRUE?

Accepted Answer

This question tests the ability to chain inequalities and identify what must logically follow from multiple constraints.

Question 11

Given: V > W ≥ X, Y ≤ X, Z < Y, and T ≥ V. Which of the following is INDETERMINATE?

Accepted Answer

From the inequalities: V > W ≥ X ≥ Y > Z (since Y ≤ X and Z < Y) and T ≥ V. We need to find what cannot be determined. Let's check: V > W is true. W ≥ X is true. X ≥ Y is true. Y > Z is true. T ≥ V is true. Is T > W definitely true? T ≥ V > W means T > W is definite. Is Z < X definitely true? Z < Y ≤ X means Z < X is definite. Is T = V definitely false? T ≥ V allows T = V, so T = V is possible, not false. Is W > Y definitely true? W ≥ X ≥ Y means W ≥ Y, but W could equal Y, so W > Y is indeterminate. Is T > Z definitely true? T ≥ V > W ≥ X ≥ Y > Z means T > Z is definite.

Question 12

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

Accepted Answer

From the given inequalities: A > B ≥ C > D (since D < C) and E ≤ B and F > E. We need to find what must be true. A > B is certain. B ≥ C is certain. C > D is certain. E ≤ B means E could equal B or be less. F > E means F is greater than E, but F's relationship to B is unknown (F could be less than, equal to, or greater than B). However, A > D is definitely true because A > B ≥ C > D creates a chain.

Question 13

Given: P ≥ Q > R, S ≤ R, T > S, and U < Q. Which of the following is DEFINITELY FALSE?

Accepted Answer

From the inequalities: P ≥ Q > R > S (since S ≤ R and R > S from the chain) and T > S and U < Q. We need to identify what cannot be true. Let's check: P ≥ Q is true. Q > R is true. R > S is true (from S ≤ R and the chain). T > S is true. U < Q is true. Now, is U > R definitely false? U < Q and Q > R, but this doesn't tell us U's relationship to R. U could be greater than, equal to, or less than R. However, is T ≥ Q definitely false? T > S and S ≤ R and R < Q, so T > S doesn't guarantee T ≥ Q. But is S > Q definitely false? Yes! Because S ≤ R < Q means S < Q, so S > Q is impossible.

Question 14

Given: M < N ≤ O, P > O, Q ≤ M, and R ≥ P. Which of the following conclusions is INDETERMINATE (cannot be determined as true or false)?

Accepted Answer

From the inequalities: M < N ≤ O < P ≤ R (since P > O and R ≥ P). Also Q ≤ M. We need to find what cannot be determined. Let's check: R > O is true (R ≥ P > O). Q < N is true (Q ≤ M < N). R > M is true (R ≥ P > O ≥ N > M). But what about Q > N? Q ≤ M < N means Q < N, so Q > N is false. What about R = P? R ≥ P means R could equal P or be greater, so R = P is indeterminate. What about P = O? P > O means P cannot equal O, so P = O is false. What about Q = M? Q ≤ M means Q could equal M, so Q = M is indeterminate.

Question 15

Given: J ≤ K < L, M ≥ L, N > M, and O < J. Which of the following conclusions is DEFINITELY FALSE?

Accepted Answer

From the inequalities: J ≤ K < L ≤ M < N (since M ≥ L and N > M) and O < J. We need to find what cannot be true. Let's check: O < J ≤ K < L ≤ M < N. Is O < L definitely true? O < J ≤ K < L means O < L is true. Is N > L definitely true? N > M ≥ L means N > L is true. Is J = K definitely false? J ≤ K means J could equal K, so J = K is possible, not false. Is O ≥ K definitely false? O < J ≤ K means O < K, so O ≥ K is impossible. Is M = L definitely false? M ≥ L means M could equal L, so M = L is possible. Therefore, O ≥ K is definitely false.

SSC GD Constable Statement & Assumptions

SSC GD Constable Statement & Assumptions — Past Exam Questions

Statement & Assumptions— Rules & Concept

Key Points to Remember

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60-Second Revision — Statement & Assumptions