Question 1

Given: P > Q, Q ≥ R, R > S, S ≤ T, T < P. Which of the following conclusions is definitely TRUE?

Accepted Answer

From the given inequalities: P > Q ≥ R > S ≤ T < P. We can establish: P > Q (given), Q ≥ R (given), R > S (given). Therefore P > R is true. We cannot determine the relationship between S and T (S ≤ T means T could equal S or be greater). We cannot determine if T > R because T < P but we don't know T's exact position relative to R.

Question 2

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

Accepted Answer

From the inequalities: M < N ≤ O, O > P ≥ Q > R. We can establish: M < N (given), N ≤ O (given), so M < O by transitivity. We can establish: O > P ≥ Q > R, so O > R by chaining. We cannot determine if N > P because N ≤ O and O > P, but N could equal O or be less than O. We cannot determine if M < Q.

Question 3

Given: X > Y, Y = Z, Z > W, W ≥ V, V < X. Which of the following is definitely TRUE?

Accepted Answer

From the inequalities: X > Y = Z > W ≥ V, and V < X. We can establish: X > Y = Z, so X > Z. We can establish: Z > W ≥ V, so Z > V. We can establish: X > Y = Z > W, so X > W. We cannot determine if Y > W directly without using Z. The statement 'X > W' is definitely true because X > Y = Z > W.

Question 4

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

Accepted Answer

From the inequalities: A > B > C ≥ D > E ≤ F < A. We can establish: A > B > C > D > E (using C ≥ D and D > E). We can establish: E ≤ F < A, so F < A. We cannot determine if B > E because the chain is A > B > C ≥ D > E, which gives B > E as definite. The statement 'E > D' is definitely false because D > E is given.

Question 5

Given: P ≥ Q, Q > R, R ≤ S, S < T, T ≤ P. Which of the following is definitely TRUE?

Accepted Answer

From the inequalities: P ≥ Q > R ≤ S < T ≤ P. We can establish: P ≥ Q > R, so P > R. We can establish: S < T ≤ P, so S < P. We can establish: R ≤ S < T, so R < T. We cannot determine if Q > S because Q > R and R ≤ S means Q could be greater than, equal to, or less than S. The statement 'P > R' is definitely true.

Question 6

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

Accepted Answer

From the inequalities: A ≥ B, B > C, C ≤ D, D < A, E = B. We know: A ≥ B = E, so A ≥ E. We know B > C and C ≤ D, but cannot determine if B > D (D could be less than, equal to, or greater than C). We know D < A. We know B > C is definite. The statement 'C > B' is definitely false because B > C is given.

Question 7

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

Accepted Answer

Identify the statement that contradicts the established relationships.

Question 8

Given: X ≥ Y > Z ≥ W, V < Z, U ≤ Y, and T > U. Which of the following must be TRUE?

Accepted Answer

Determine which statement is necessarily true given all constraints.

Question 9

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

Accepted Answer

Establish the chains and relationships, then identify which statement cannot be true under any valid assignment.

Question 10

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 and F > E ≤ B. We need to find what must be true in all cases.

SSC MTS Statement & Assumptions

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60-Second Revision — Statement & Assumptions