Thinking Skills
Three coloured lights sit in a row. Each light is either red or green. When the first light flashes, it signa…
Question 1 · Multiple choice
Question
Three coloured lights sit in a row. Each light is either red or green. When the first light flashes, it signals the second light; the second light then signals the third light.
The first light is green. The third light is red.
Options
Which statement must be true?
- A.Exactly two lights are green.
- B.A green light directly signals a red light at some point in the chain.
- C.A red light directly signals a green light at some point.
- D.Exactly one light is green.
Correct answer
Explanation
Step 1: List what we know.
- Light 1 = green
- Light 3 = red
- Light 2 = unknown (could be red or green — we are not told)
The chain runs: Light 1 → Light 2 → Light 3.
Step 2: Test both possible cases for light 2.
Case 1 — Light 2 is RED:
Chain: green(1) → red(2) → red(3)
Here, green light 1 directly signals red light 2. ✓ A green signals a red!
Case 2 — Light 2 is GREEN:
Chain: green(1) → green(2) → red(3)
Here, green light 2 directly signals red light 3. ✓ A green signals a red!
Step 3: Find the statement that is true in BOTH cases.
Option B says: "A green light directly signals a red light at some point in the chain."
In Case 1 → green(1) signals red(2) ✓ In Case 2 → green(2) signals red(3) ✓
No matter what colour light 2 is, a green always ends up signalling a red somewhere. So Option B must be true!
Quick check of the others:
- Option A ("Exactly two lights are green"): In Case 1 only one light is green. Not always true. ✗
- Option C ("A red signals a green"): In Case 1, red(2) signals red(3) — no red signals green. In Case 2, green(2) signals red(3) — no red signals green either. Never true. ✗
- Option D ("Exactly one light is green"): In Case 2, lights 1 and 2 are both green — that's two greens. Not always true. ✗
Answer: Option B must always be true.