Examine the following statements:
1. Lady’s finger is tastier than cabbage.
2. Cauliflower is tastier than lady’s finger.
3. Cabbage is not tastier than peas.
The conclusion that can be drawn from these statements is that
Correct Answer :
cauliflower is tastier than cabbage.
Solution :
The correct option is: cauliflower is tastier than cabbage.
To understand why this conclusion is correct, we can analyze the given statements step-by-step and establish the relative relationship of tastiness between the vegetables:
Step 1: Analyze Statement 1
"Lady’s finger is tastier than cabbage."
We can represent this relationship as:
Lady’s finger > Cabbage
Step 2: Analyze Statement 2
"Cauliflower is tastier than lady’s finger."
We can represent this relationship as:
Cauliflower > Lady’s finger
Step 3: Combine Statement 1 and Statement 2
By combining these two transitive relationships, we obtain a clear ordering:
Cauliflower > Lady’s finger > Cabbage
From this chain, it directly follows that:
Cauliflower > Cabbage
In other words, cauliflower is tastier than cabbage.
Step 4: Check Statement 3 and eliminate other options
Statement 3 states: "Cabbage is not tastier than peas," which means Peas ≥ Cabbage (peas are at least as tasty as cabbage). However, this does not provide enough information to compare peas with lady's finger or cauliflower. Therefore, the only definitive and logical conclusion that can be drawn from the statements is that cauliflower is tastier than cabbage.
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