A research team is studying the effects of three different fertilizers (X, Y, and Z) on the growth of a specific plant species. They have four experimental plots with different fertilizer combinations: Plot 1: Fertilizer X only
Plot 2: Fertilizer Y only
Plot 3: Fertilizer X and Fertilizer Z only
Plot 4: Fertilizer Y and Fertilizer Z only
After a period of observation, they note the following: \[\begin{array}{rl} \bullet & \text{Plants in plots with Fertilizer X showed significantly increased height compared to a control group (no fertilizer).} \\ \bullet & \text{Plants in plots with Fertilizer Y showed a slightly increased leaf area compared to the control group.} \\ \bullet & \text{Plants in Plot 3 (X and Z) showed no significant difference in height compared to the control group.} \\ \bullet & \text{Plants in Plot 4 (Y and Z) showed significantly increased height compared to the control group.} \\ \end{array}\] Based on these observations, which of the following conclusions is best supported?
Step 1: Review the observations:
- Fertilizer X significantly increases height in Plot 1.
- Fertilizer Y only slightly increases leaf area, not height.
- Plot 3 (X and Z) shows no significant height difference, which suggests that Fertilizer Z may inhibit the effect of Fertilizer X.
- Plot 4 (Y and Z) shows significantly increased height, indicating that Fertilizer Z is effective when combined with Fertilizer Y.
Step 2: Analyze the conclusions:
- Conclusion (a) is supported by the observation that Fertilizer Z seems to reduce the height increase from Fertilizer X, as seen in Plot 3.
- Conclusion (b) is not directly supported, as the increase in leaf area for Fertilizer Y was minimal.
- Conclusion (c) is incorrect because Fertilizer Z in combination with Fertilizer Y also showed increased height in Plot 4.
- Conclusion (d) is incorrect because Fertilizer Z did affect the plant growth when combined with Fertilizer Y.
Thus, the best-supported conclusion is (a).
Consider the following statements followed by two conclusions.
Statements: 1. Some men are great. 2. Some men are wise.
Conclusions: 1. Men are either great or wise. 2. Some men are neither great nor wise. Choose the correct option:
"In order to be a teacher, one must graduate from college. All poets are poor. Some Mathematicians are poets. No college graduate is poor."
Which of the following is true?
Statements: 1. All cakes are ice cream 2. No ice cream is chocolate
Conclusions: 1. Some cakes are chocolate 2. No cake is chocolate Choose the correct option:
Statements: All apples are fruits. All fruits are tasty.
Conclusions: 1. All apples are tasty. 2. Some tasty things are apples.
A remote island has a unique social structure. Individuals are either "Truth-tellers" (who always speak the truth) or "Tricksters" (who always lie). You encounter three inhabitants: X, Y, and Z.
X says: "Y is a Trickster"
Y says: "Exactly one of us is a Truth-teller."
What can you definitively conclude about Z?