Examine the following comparison statements: I > W > T > N and I = F = G = C. Based on these two relations, which of the given conclusions about W, I, C and N is definitely true?

Introduction / Context:
This problem checks your understanding of chained inequalities and equalities. You are given two compact symbolic statements involving the letters I, W, T, N, F, G and C, and you must decide which of the listed conclusions is forced by these statements. The task is to read the symbols correctly and then derive the relative order of the variables.

Given Data / Assumptions:

• First statement: I > W > T > N.
• Second statement: I = F = G = C.
• Symbol > means greater than in some ordered sense.
• Symbol = means equal in that same ordered sense.
• All comparisons are consistent; there is no hidden contradiction.

Concept / Approach:
The idea is to use transitivity of inequality and equality. If A > B and B > C, then A > C. If A = B and B > C, then A > C. Linking such chains lets us compare symbols that do not appear next to each other directly. We will first understand how W compares with I, and then how C compares with N, because that is what the conclusions ask about.

Step-by-Step Solution:
Step 1: From I > W > T > N, we know that I is greater than W, W is greater than T, and T is greater than N.Step 2: Because I > W, it is impossible that W > I. Thus any conclusion which claims W > I is immediately false.Step 3: From I = F = G = C, we know that C and I are the same in value. So I and C can be interchanged in inequalities.Step 4: From the first chain we already know I > N, because I > W > T > N implies I is greater than N by transitivity.Step 5: Replace I with C using equality I = C. Therefore, C > N also holds.Step 6: Now test each conclusion. Conclusion I, W > I, contradicts the data, so it is false. Conclusion II, C > N, matches the derived relation, so it is true.

Verification / Alternative check:
You can imagine assigning numbers that respect the chains. For example, take I = C = 10, W = 8, T = 5, N = 2. These satisfy I > W > T > N and I = C.In this example, W > I would mean 8 > 10, which is not true. On the other hand, C > N becomes 10 > 2, which is correct.Any other numeric assignment that respects the given chains will still keep I and C above W, T and N, so the truth of conclusion II is stable.

Why Other Options Are Wrong:
Option a, Only Conclusion I is true, is wrong because Conclusion I is actually false.Option c, Both conclusions I and II are true, fails since Conclusion I does not follow from the statements.Option d, Neither conclusion I nor conclusion II is true, ignores the valid comparison C > N.Option e, Data are insufficient to decide, is incorrect because we have clear information to compare all the symbols directly.

Common Pitfalls:
Learners sometimes read I > W as W greater than I because they rush and swap the order of terms.Another error is to treat I = C as if it only holds approximately, instead of using it to substitute C whenever I appears.Some candidates also forget to use the transitive property I > W > T > N to compare I and N, which is essential for linking C and N.

Final Answer:
The correct evaluation is that Only Conclusion II is true because C > N is guaranteed, while W > I directly contradicts the given inequalities.