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
- Apeas are as tasty as lady's finger
- Bpeas are as tasty as cauliflower and lady's finger
- Ccabbage is the least tasty of the four vegetables
- Dcauliflower is tastier than cabbage.Correct
Explanation
Let's break down the statements and establish relationships:
-
Lady's finger (L) is tastier than cabbage (C). This can be written as: L > C
-
Cauliflower (F) is tastier than lady's finger (L). This can be written as: F > L
-
Cabbage (C) is not tastier than peas (P). This means peas are tastier than or equally tasty as cabbage. This can be written as: P >= C
Now, let's combine the first two statements: From (1) L > C From (2) F > L Combining these, we get a clear hierarchy: F > L > C. This means Cauliflower is tastier than Lady's finger, which is tastier than Cabbage.
Now let's evaluate the options based on these relationships:
A) peas are as tasty as lady's finger (P = L) We know F > L > C and P >= C. We don't have enough information to conclude that P = L. Peas could be tastier than C but less tasty than L, or equally tasty as C, or even tastier than L. This is not a definite conclusion.
B) peas are as tasty as cauliflower and lady's finger (P = F and P = L) This would imply P = F = L. However, we know F > L, which contradicts this statement. So, this option is false.
C) cabbage is the least tasty of the four vegetables We know F > L > C. So, Cabbage is the least tasty among F, L, and C. We also know P >= C. If P > C, then C is indeed the least tasty. If P = C, then C is tied with P for the least tasty, meaning it's not strictly the least tasty (as P is equally least tasty). Since a conclusion must be definitively true, and "least tasty" usually implies strictly less tasty, this option is not always true.
D) cauliflower is tastier than cabbage. From our combined hierarchy (F > L > C), it directly follows that Cauliflower (F) is tastier than Cabbage (C). This is an undeniable conclusion derived directly from statements 1 and 2.
Therefore, option D is the correct conclusion.
The final answer is D

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