In the question, assuming the given statements to be true, find which of the conclusion(s) among the given two conclusions is/are definitely true and then give your answer accordingly.
Statements: L = F < D ≤ R; Y = T ≥ Q = L
Conclusions:
I. T > F
II. F ≤ Y
Show answer & explanation
Correct answer: C
Explanation
Answer: Only Conclusion II is true.
Explanation:
Combining statements:
L = F < D ≤ R
Y = T ≥ Q = L
Since L = F and Q = L, we get: F = L = Q
Since Y = T, we get: T = Y
So the combined chain becomes:
F = L = Q ≤ T = Y, and separately F < D ≤ R
Checking Conclusion I: T > F
From the chain, T ≥ Q = F, so T ≥ F (not strictly T > F, since T could be equal to Q, which equals F).
Since equality is possible, T > F is NOT definitely true. ❌
Checking Conclusion II: F ≤ Y
Since Y = T ≥ Q = F, we get Y ≥ F, i.e., F ≤ Y.
This holds true in all cases. ✔️
Conclusion: Only Conclusion II is definitely true.