From the following identify the statements that are logically equivalent.
A. No square are circles
B. Some squares are not circles
C. Some non-circles are not non-squares
D. No circles are squares
Choose the correct answer from the options given below:

Correct option is B

The statements B and C are logically equivalent:
· B. Some squares are not circles: This is a particular negative statement.
· C. Some non-circles are not non-squares: This statement involves double negation. When simplified, it is logically equivalent to "Some squares are not circles" (since the negations cancel out).
Information booster:
· A. No squares are circles and D. No circles are squares are universally negative statements (they are logically equivalent to each other), but they are not equivalent to B or C, which are particular negative statements.
· B and C represent particular negative statements, and C is a double negation that simplifies to the same form as B.
Additional Knowledge:
1. Double negation can simplify a statement to its affirmative form. In this case, "Some non-circles are not non-squares" simplifies to "Some squares are not circles."
2. Logically equivalent statements maintain the same truth value even when expressed with different phrasing or through logical transformations.