Consider the following statements Every red is blue. Every blue is green. Every green is yellow.

Question

Consider the following statements:

Every red is blue. Every blue is green. Every green is yellow.

Which of the following statements denoted by P, Q and R are correct?

P. Every blue is yellow.

Q. Every red is green.

R. Every red is yellow.

Select the answer using the code given below.

1. A. P and Q only
2. B. Q and R only
3. C. P and R only
4. D. P, Q and R (Correct answer)

Correct Answer

Option D — P, Q and R

Detailed Solution & Explanation

The correct answer is Option D (P, Q and R).

Key Points

• The chain is red ⊂ blue ⊂ green ⊂ yellow.
• P: every blue is yellow (blue ⊂ green ⊂ yellow) → true.
• Q: every red is green (red ⊂ blue ⊂ green) → true.
• R: every red is yellow (red ⊂ … ⊂ yellow) → true.

Additional Information

• All three follow by transitivity of "every … is …", so the answer is P, Q and R → Option D.