Is it possible that no square is green given that all squares are rectangles and some rectangles are green?

Unlock all questions

This demo includes only 20 questions. Upgrade to access hundreds of questions, flashcards, exam simulations, and disable ads.

Full question bankExam simulationsFlashcards
From $24.99Unlock all

Prepare for the United Knowledge Validation Test with flashcards and multiple choice questions, each question has hints and explanations. Enhance your understanding and boost your confidence!

Multiple Choice

Is it possible that no square is green given that all squares are rectangles and some rectangles are green?

Explanation:
All squares are rectangles, but not all rectangles are squares. Saying some rectangles are green only tells us that there exists at least one green rectangle; it does not say anything about squares being green. If the green rectangles happen to be non-square rectangles, then none of the squares would be green, which fits the given information. For example, have one square that is not green and a non-square green rectangle; there are green rectangles, but no green squares. So it is possible for no square to be green.

All squares are rectangles, but not all rectangles are squares. Saying some rectangles are green only tells us that there exists at least one green rectangle; it does not say anything about squares being green. If the green rectangles happen to be non-square rectangles, then none of the squares would be green, which fits the given information. For example, have one square that is not green and a non-square green rectangle; there are green rectangles, but no green squares. So it is possible for no square to be green.

More Multiple Choice Questions
Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy