Question

Based on the given statement, four conclusions are drawn. Find out which conclusion is true based on the statement.

Statement: Y < O ≤ G ≤ K = U > L > P

Options:

• O = P

• G = Y

• K > P

• Y > L

• A. O = P
• B. G=Y
• C. K>P
• D. Y>L

Answer 1

Answer:

C. K>P

Statement: Y < O ≤ G ≤ K = U > L > P

Definite Relationships (True Conclusions):

• From Y to other elements:

  • Y < O, Y < G, Y < K, Y < U

• From O to other elements:

  • $O \leq G$, $O \leq K$, $O \leq U$

• From G to other elements:

  • $G \leq K$, $G \leq U$

• Between K and U:

  • $K = U$

• From K and U to L and P:

  • K > L, K > P

  • U > L, U > P

• Between L and P:

  • L > P

The correct option is K > P.

* O = P (False/Undetermined): The relationship chain breaks between O and P because the inequality signs flip direction (O ≤ G ≤ K = U > L > P). No definite comparison can be made.

* G = Y (False): The statement strictly shows Y < O ≤ G. This means Y is strictly less than G (Y < G), so they cannot be equal.

* K > P (True): Looking at the continuous chain K = U > L > P, we can directly deduce that K is strictly greater than P (K > P).

* Y > L (False/Undetermined): The relationship chain breaks between Y and L due to the opposing inequality signs (Y < O ≤ G ≤ K = U > L). No definite comparison can be made.