Read the given statement and conclusions carefully. Decide which of the given conclusions is/are definitely true from the statement. Statement: P = Q ≥ S > T = R ≥ U > V Conclusion I: Q ≥ U Conclusion II: T = U

Correct — C.
Rule: signs facing one way combine, one strict > makes the result >, and > satisfies ≥.

I: Q ≥ S > T = R ≥ U. One strict sign, so Q > U, which makes Q ≥ U true.
II: T = R ≥ U gives only T ≥ U. T may be greater than U, so T = U is not definite.

Only Conclusion I is True → option (c).

Why the others are wrong

• (a)
  Both Conclusion I and Conclusion II are True. — Both True needs T = U, but T = R ≥ U also allows T > U. A conclusion that may or may not hold is not definitely true.
• (b)
  Both Conclusion I and Conclusion II are False. — Both False throws away I. Q ≥ S, S > T, T = R and R ≥ U all face the same way and one is strict, so Q > U, which satisfies Q ≥ U.
• (d)
  Only Conclusion II is True. — Only II has it backwards. II is merely possible, since ≥ leaves room for T > U, while I is guaranteed by the unbroken chain from Q down to U.

Read an inequality chain by linking the two letters of a conclusion through every sign between them. Signs facing the same way combine: ≥ with = stays ≥, and one > anywhere makes the result >.

A conclusion is definitely true only if the chain forces it. ≥ means greater than or equal to, so a derived Q > U satisfies Q ≥ U. An equals conclusion such as T = U needs every link between the two letters to be an equals sign.

Key facts

• A chain of ≥, = and > in one direction gives > if any sign in it is strict.
• Greater than satisfies greater than or equal to: Q > U makes Q ≥ U true.
• An equals conclusion needs every link between its two letters to be an equals sign.

Common traps

• Rejecting Q ≥ U because the chain makes Q strictly greater than U
• Reading T = R ≥ U as T = U because of the equals sign next to T

No directly related past PYQ was found.