CMAT Syllogisms Questions

(A) No needle is a tree.

• We know that all needles are threads, and all threads are boxes, and all trees are boxes. However, there’s no direct relationship given between needles and trees. Therefore, this is not necessarily true.

(B) Some trees are threads.

• We know that all trees are boxes, and all threads are also boxes. However, the statements don't tell us that any tree must be a thread. Therefore, this is not necessarily true.

(C) Some boxes are needles.

• Since all needles are threads and all threads are boxes, this means that some boxes (specifically those that are threads) must be needles. This is true.

(D) Some trees are needles.

• We know that all trees are boxes, but there’s no information linking trees and needles directly, so this is not necessarily true.

Hence, the answer is C only.

• (A) Some suitcases are bags:
  Since some bags are purses (from Statement 1), and all purses are containers (Statement 2), and all containers are suitcases (Statement 3), this logically means that some of the bags, through purses, will also be suitcases. Therefore, Conclusion (A) is true.
• (B) All purses are bags:
  The statement "some bags are purses" does not imply that all purses are bags. Thus, Conclusion (B) does not follow from the given statements.
• (C) All purses are suitcases:
  Since all purses are containers and all containers are suitcases, it follows logically that all purses are suitcases. Therefore, Conclusion (C) is true.
• (D) Some containers are purses:
  Since all purses are containers, it follows that some containers (specifically, purses) are indeed purses. Therefore, Conclusion (D) is true as well.

Thus, the correct conclusions are (A), (C), and (D).